Study the following information and answer the questions given below:
An Uncertain number of persons sit in a row and all face north. S sits fifth from left end of the row. Only six persons sit between S and M. B sits immediate right of M and fourth to the right of P. Q is an immediate neighbour of S and sits fifth to the right of V. Three persons sit between B and D who is third from one of the extreme ends. The number of persons sit between M and T is same as the number of persons sit between A and M. A is in the left of T who is an immediate neighbour of D.
Find the number of persons sit in the row?
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Answer: (C) 19
Explanation
Placing S at position 5 from the left end and Q at position 6 (5th to the right of V at position 1) fixes V at position 1 and Q at position 6. Since six persons sit between S and M, M sits at position 12. B sits immediately right of M at position 13, which is 4th to the right of P, placing P at position 9. Three persons sit between B and D, so D is at position 17. Since D is 3rd from the right end, the total number of positions in the row is 17 + 2 = 19.
2Reasoning
Study the following information and answer the questions given below:
An Uncertain number of persons sit in a row and all face north. S sits fifth from left end of the row. Only six persons sit between S and M. B sits immediate right of M and fourth to the right of P. Q is an immediate neighbour of S and sits fifth to the right of V. Three persons sit between B and D who is third from one of the extreme ends. The number of persons sit between M and T is same as the number of persons sit between A and M. A is in the left of T who is an immediate neighbour of D.
What is the position of A with respect to Q?
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Answer: (D) Second to the right
Explanation
In the derived arrangement, Q sits at position 6 from the left end. The number of persons between M at position 12 and T at position 16 is 3, which equals the number of persons between A and M, placing A at position 8. Comparing positions 6 and 8, A sits two places to the right of Q, which is second to the right.
3Reasoning
Study the following information and answer the questions given below:
An Uncertain number of persons sit in a row and all face north. S sits fifth from left end of the row. Only six persons sit between S and M. B sits immediate right of M and fourth to the right of P. Q is an immediate neighbour of S and sits fifth to the right of V. Three persons sit between B and D who is third from one of the extreme ends. The number of persons sit between M and T is same as the number of persons sit between A and M. A is in the left of T who is an immediate neighbour of D.
How many persons sit to the right of T?
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Answer: (A) Three
Explanation
The linear row consists of 19 positions in total. T is at position 16, directly adjacent to D at position 17. The positions remaining to the right of T are 17, 18, and 19. Therefore, exactly three persons sit to the right of T.
4Reasoning
Study the following information and answer the questions given below:
An Uncertain number of persons sit in a row and all face north. S sits fifth from left end of the row. Only six persons sit between S and M. B sits immediate right of M and fourth to the right of P. Q is an immediate neighbour of S and sits fifth to the right of V. Three persons sit between B and D who is third from one of the extreme ends. The number of persons sit between M and T is same as the number of persons sit between A and M. A is in the left of T who is an immediate neighbour of D.
Four of the following five are alike in a certain way and hence they form a group, find the one that does not belong to that group?
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Answer: (E) S-V
Explanation
Analyzing the positions from left to right, T is at 16 and D at 17, M is at 12 and B at 13, A is at 8 and P at 9, and S is at 5 and Q at 6. In each of these pairs, the second person sits immediately to the left of the first person. In S-V, S is at position 5 while V is at position 1, meaning three persons sit between them rather than being adjacent.
5Reasoning
Study the following information and answer the questions given below:
An Uncertain number of persons sit in a row and all face north. S sits fifth from left end of the row. Only six persons sit between S and M. B sits immediate right of M and fourth to the right of P. Q is an immediate neighbour of S and sits fifth to the right of V. Three persons sit between B and D who is third from one of the extreme ends. The number of persons sit between M and T is same as the number of persons sit between A and M. A is in the left of T who is an immediate neighbour of D.
Who among the following is an immediate neighbour of P?
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Answer: (B) A
Explanation
From the linear arrangement, P sits at position 9 from the left end. A sits at position 8, which is directly adjacent to P on the left side. Thus, A is an immediate neighbour of P.
6Reasoning
In each of the questions below, two statements are given followed by two conclusions. You have to assume all the statements to be true even they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically does not follow from the information given in the statements:
Statements: Only a few mango are apple. Some orange are apple.
Conclusions: I. Some mango are orange. II. All apple can be mango.
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Answer: (B) If only conclusion II follows.
Explanation
The statement "Only a few mango are apple" means some mango are apple and some mango are not apple. This restricts all mango from being apple, but does not prevent all apple from being contained inside mango, making conclusion II a valid possibility. Conclusion I states a definite relation between mango and orange, which cannot be derived from the statements.
7Reasoning
In each of the questions below, two statements are given followed by two conclusions. You have to assume all the statements to be true even they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically does not follow from the information given in the statements:
Statements: All game are over. All task are over.
Conclusions: I. No task is game. II. Some game is task.
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Answer: (C) If either conclusion I or II follows.
Explanation
Both game and task are subsets of over, but no direct relationship is established between game and task. Therefore, both "No task is game" and "Some game is task" are individually uncertain. Since one conclusion is negative (No) and the other is positive (Some) involving the same elements, they form a complementary pair, meaning either conclusion I or conclusion II must be true.
8Reasoning
In each of the questions below, two statements are given followed by two conclusions. You have to assume all the statements to be true even they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically does not follow from the information given in the statements:
Statements: No circle is ratio. All ratio is radius.
Conclusions: I. Some radius are not circle. II. All circle can be radius.
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Answer: (E) If both conclusion I and II follows.
Explanation
All ratio is inside radius and no circle is ratio, so the portion of radius that is ratio can never be circle, making conclusion I definitely true. Furthermore, circle only needs to avoid ratio, so it is possible for all circle to sit inside the remaining part of radius, making conclusion II a valid possibility.
9Reasoning
In each of the questions below, two statements are given followed by two conclusions. You have to assume all the statements to be true even they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically does not follow from the information given in the statements:
Statements: Only a few gate is door. No gate is window.
Conclusions: I. All gate can be door. II. All door can be window.
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Answer: (D) If neither conclusion I nor II follows.
Explanation
"Only a few gate is door" explicitly means some gates are not doors, so all gates can never be doors, making conclusion I false. Additionally, since some doors are gates and no gate is a window, those doors that are gates can never be windows, so all doors can never be windows, making conclusion II false as well.
10Reasoning
In each of the questions below, two statements are given followed by two conclusions. You have to assume all the statements to be true even they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically does not follow from the information given in the statements:
Statements: Only history is math. Only a few English is history.
Conclusions: I. No math is English. II. Some English can be math.
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Answer: (A) If only conclusion I follows.
Explanation
The statement "Only history is math" converts to "All math is history" with the exclusive restriction that math cannot intersect with any set other than history. Consequently, no math can be English, which makes conclusion I definitely true and conclusion II false.
11Reasoning
Study the following information and answer the given questions:
Seven boxes A, B, C, D, E, F and G are placed one above the other in the stack. The number of boxes placed above and below G are the same. Two boxes are placed between G and D. E is placed immediate above G and F is placed immediately below G. A is not placed adjacent to box E and F. C is placed below G but not placed adjacent to box D.
Which among the following box is placed at the topmost position?
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Answer: (A) D
Explanation
In a 7-box stack, having an equal number of boxes above and below G places G at position 4 from the bottom. Two boxes between G and D places D at position 7. E is at position 5 and F is at position 3. Since A cannot be adjacent to E (position 6) or F (position 2), A is at position 1. C is below G and not adjacent to D, placing C at position 2 and B at position 6. The complete top-to-bottom arrangement is D (7), B (6), E (5), G (4), F (3), C (2), A (1).
12Reasoning
Study the following information and answer the given questions:
Seven boxes A, B, C, D, E, F and G are placed one above the other in the stack. The number of boxes placed above and below G are the same. Two boxes are placed between G and D. E is placed immediate above G and F is placed immediately below G. A is not placed adjacent to box E and F. C is placed below G but not placed adjacent to box D.
How many boxes are placed below C?
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Answer: (B) One
Explanation
The arrangement from top to bottom is D (position 7), B (position 6), E (position 5), G (position 4), F (position 3), C (position 2), and A (position 1). Box C is placed at position 2, so only box A is placed below C, giving a total of one box below C.
13Reasoning
Study the following information and answer the given questions:
Seven boxes A, B, C, D, E, F and G are placed one above the other in the stack. The number of boxes placed above and below G are the same. Two boxes are placed between G and D. E is placed immediate above G and F is placed immediately below G. A is not placed adjacent to box E and F. C is placed below G but not placed adjacent to box D.
Which among the following box is placed immediate below D?
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Answer: (D) B
Explanation
The arrangement from top to bottom is D at position 7, B at position 6, E at position 5, G at position 4, F at position 3, C at position 2, and A at position 1. Therefore, box B is placed immediately below box D.
14Reasoning
Study the following information and answer the given questions:
Seven boxes A, B, C, D, E, F and G are placed one above the other in the stack. The number of boxes placed above and below G are the same. Two boxes are placed between G and D. E is placed immediate above G and F is placed immediately below G. A is not placed adjacent to box E and F. C is placed below G but not placed adjacent to box D.
Four of the following five pairs are alike in a certain way and hence form a group, find the one that does not belong to that group?
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Answer: (C) E-A
Explanation
In the stack arrangement D (7), B (6), E (5), G (4), F (3), C (2), A (1), the pairs D-E, B-G, F-A, and G-C each contain exactly one box between the two given boxes. In contrast, the pair E-A has three boxes (G, F, C) between them.
15Reasoning
Study the following information and answer the given questions:
Seven boxes A, B, C, D, E, F and G are placed one above the other in the stack. The number of boxes placed above and below G are the same. Two boxes are placed between G and D. E is placed immediate above G and F is placed immediately below G. A is not placed adjacent to box E and F. C is placed below G but not placed adjacent to box D.
Which among the following box is placed exactly between F and A?
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Answer: (A) C
Explanation
From top to bottom, the stack order is D (7), B (6), E (5), G (4), F (3), C (2), and A (1). Since box F is at position 3 and box A is at position 1, box C occupies position 2, which is placed exactly between F and A.
16Reasoning
In this question, relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusion based on the given statement and select the appropriate answer.
Statements: S > T >= U > H = C < D
Conclusions:
I. T > H
II. H < D
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Answer: (E) If both conclusion I and II follows
Explanation
From the statement S > T >= U > H = C < D:
For conclusion I: Combining T >= U and U > H gives T > H, so conclusion I follows.
For conclusion II: Combining H = C and C < D gives H < D, so conclusion II follows.
17Reasoning
In this question, relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusion based on the given statement and select the appropriate answer.
Statements: W < Z < O <= P > B > M
Conclusions:
I. P >= Z
II. B > O
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Answer: (D) If neither conclusion I nor II follows
Explanation
From the statement W < Z < O <= P > B > M:
For conclusion I: Z < O <= P gives Z < P, which means P > Z strictly; thus P >= Z does not follow.
For conclusion II: Between O and B, the inequality signs are <= and >, which are opposing directions; hence no definitive relation exists between B and O.
18Reasoning
In this question, relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusion based on the given statement and select the appropriate answer.
Statements: P < Q > A <= L < F = K
Conclusions:
I. P > K
II. K >= P
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Answer: (C) If either conclusion I or II follows
Explanation
In the statement P < Q > A <= L < F = K, opposing inequality symbols between P and Q mean no relation can be established between P and K. Therefore, the relation between P and K could be P > K, P < K, or P = K. Conclusion I states P > K and Conclusion II states K >= P (which is P <= K). Together, these two conclusions cover all possible relationships, forming an either-or pair.
19Reasoning
In this question, relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusion based on the given statement and select the appropriate answer.
Statements: U > R > Y = J >= D < T
Conclusions:
I. Y > T
II. T > J
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Answer: (D) If neither conclusion I nor II follows
Explanation
From the statement U > R > Y = J >= D < T, the presence of >= and < between J and T means no definitive relation exists between J (or Y) and T. Conclusion I (Y > T) and Conclusion II (T > J, which is J < T) do not cover the equality possibility (J = T), so neither conclusion follows and the either-or condition is not satisfied.
20Reasoning
In a certain code language, FRIED is coded as UIRVW and PLANT is coded as KOZMG then, in the same manner, how SHOWN would be coded?
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Answer: (C) HSLDM
Explanation
The coding scheme replaces each letter with its reverse alphabetical pair, where the sum of positional values equals 27:
S (19) -> 27 - 19 = 8 -> H
H (8) -> 27 - 8 = 19 -> S
O (15) -> 27 - 15 = 12 -> L
W (23) -> 27 - 23 = 4 -> D
N (14) -> 27 - 14 = 13 -> M
Combining these gives HSLDM.
21Reasoning
Study the following information carefully and answer the questions given below.
Eight persons A, B, C, D, E, F, G and H are sitting around a circular table. All of them are facing inside. Two persons sit between E and C. F sits second to the right of C. G sits third to the left of D. D neither an immediate neighbor of F nor C. H sits second to the right of A who is not an immediate neighbor of B.
Who among the following sits second to the right of B?
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Answer: (B) D
Explanation
Arranging the eight persons around the circular table facing inside gives the clockwise order: C, A, D, E, B, G, F, H. Facing the center, the right direction corresponds to counter-clockwise movement. Starting from B, counting two positions to the right leads to D.
22Reasoning
Study the following information carefully and answer the questions given below.
Eight persons A, B, C, D, E, F, G and H are sitting around a circular table. All of them are facing inside. Two persons sit between E and C. F sits second to the right of C. G sits third to the left of D. D neither an immediate neighbor of F nor C. H sits second to the right of A who is not an immediate neighbor of B.
How many persons sit between A and F, when counted left of A?
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Answer: (C) More than three
Explanation
In the circular arrangement (C, A, D, E, B, G, F, H in clockwise order), counting to the left of A means moving clockwise from A. The persons between A and F in this direction are D, E, B, and G. This gives a total of four persons, which is more than three.
23Reasoning
Study the following information carefully and answer the questions given below.
Eight persons A, B, C, D, E, F, G and H are sitting around a circular table. All of them are facing inside. Two persons sit between E and C. F sits second to the right of C. G sits third to the left of D. D neither an immediate neighbor of F nor C. H sits second to the right of A who is not an immediate neighbor of B.
Who among the following sits opposite to C?
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Answer: (D) B
Explanation
In an eight-person circular arrangement, persons sitting opposite to each other are separated by four positions. With C located at position 1, the person sitting directly opposite to C is B at position 5.
24Reasoning
Study the following information carefully and answer the questions given below.
Eight persons A, B, C, D, E, F, G and H are sitting around a circular table. All of them are facing inside. Two persons sit between E and C. F sits second to the right of C. G sits third to the left of D. D neither an immediate neighbor of F nor C. H sits second to the right of A who is not an immediate neighbor of B.
Which of the following statement is true about G?
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Answer: (E) Both (b) and (d)
Explanation
In the seating arrangement (C at 1, A at 2, D at 3, E at 4, B at 5, G at 6, F at 7, H at 8), moving three positions to the left (clockwise) of G leads to C. Furthermore, F is an immediate neighbor of G, and F sits directly opposite to D. Therefore, both conditions are true.
25Reasoning
Study the following information carefully and answer the questions given below.
Eight persons A, B, C, D, E, F, G and H are sitting around a circular table. All of them are facing inside. Two persons sit between E and C. F sits second to the right of C. G sits third to the left of D. D neither an immediate neighbor of F nor C. H sits second to the right of A who is not an immediate neighbor of B.
Who among the following sits third to the left of H?
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Answer: (A) D
Explanation
In the circular seating arrangement, H is situated at position 8 facing inside. Moving three places to the left (clockwise) from H passes through C (1st left) and A (2nd left) to reach D (3rd left).
26Reasoning
Read the following information carefully to answer the questions that follow:
Eight persons of a family living in a house. There are two married couples and three generations in this family. U is the parent of P, who is the only sister of T. S is the father-in-law of U. W is the only daughter of S. R is the son of Q who is the son-in-law of S. V is the father of T.
How R is related to P?
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Answer: (B) Cousin
Explanation
S is the father of V and W. V married U to have children P (daughter) and T (son). W married Q to have son R. Since P and R are the children of brother and sister V and W, R is the cousin of P.
27Reasoning
Read the following information carefully to answer the questions that follow:
Eight persons of a family living in a house. There are two married couples and three generations in this family. U is the parent of P, who is the only sister of T. S is the father-in-law of U. W is the only daughter of S. R is the son of Q who is the son-in-law of S. V is the father of T.
Who among the following is the brother-in-law of V?
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Answer: (D) Q
Explanation
S has two children, V and W. W is married to Q, so Q is the husband of V's sister. Therefore, Q is the brother-in-law of V.
28Reasoning
How many pairs of digits are there in the number '3614729', each of which have as many digits between them (both forward and backward direction) in the number as they have between them according to the number series?
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Answer: (E) More than six
Explanation
To find pairs of digits in '3614729' that have as many digits between them in the given number as in the standard number series, we evaluate both forward and backward directions using the relation |digit_j - digit_i| = j - i, where i and j are positional indices.
In the forward direction (counting upwards):
Pair (3, 7) at positions 1 and 5 has position difference 4 and digit difference 4.
Pair (3, 9) at positions 1 and 7 has position difference 6 and digit difference 6.
Pair (7, 9) at positions 5 and 7 has position difference 2 and digit difference 2.
In the backward direction (counting downwards):
Pair (3, 1) at positions 1 and 3 has position difference 2 and digit difference 2.
Pair (6, 4) at positions 2 and 4 has position difference 2 and digit difference 2.
Pair (6, 2) at positions 2 and 6 has position difference 4 and digit difference 4.
Pair (4, 2) at positions 4 and 6 has position difference 2 and digit difference 2.
There are 7 valid pairs in total: (3, 7), (3, 9), (7, 9), (3, 1), (6, 4), (6, 2), and (4, 2), which is more than six.
29Reasoning
A person starts walking in the north direction and walks 8m, then takes two consecutive right turns and walks 10m and 8m respectively. From there he takes a left turn and walks 6m, then finally takes a right turn and walks 4m to reach his destination. What is the direction of his final position with respect to the initial position?
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Answer: (C) South-east
Explanation
Starting at (0, 0), walking 8m North reaches (0, 8). Turning right and walking 10m East reaches (10, 8). Turning right and walking 8m South reaches (10, 0). Turning left and walking 6m East reaches (16, 0). Turning right and walking 4m South reaches (16, -4). Relative to (0, 0), the coordinates (+16, -4) represent the South-east direction.
30Reasoning
The position of how many alphabets will remain unchanged if each of the alphabets in the word 'BROWNIE' is arranged in alphabetical order from left to right?
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Answer: (A) One
Explanation
The letter sequence in 'BROWNIE' corresponds to positions 1 through 7. Arranging these letters in alphabetical order produces 'BEINORW'. Comparing position by position, only the first letter 'B' stays in position 1, while all other letters change positions.
31Reasoning
Study the following information carefully and answer the questions given below.
Seven persons live in a seven-storey building. The ground floor is numbered as 1 and the topmost floor is numbered as 7. Four persons live between T and P, who lives below T's floor. Two persons live between S and P. V lives immediately above R's floor. More than three persons live between U and Q. U lives below V's floor.
Who among the following lives on the 6th floor?
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Answer: (C) Q
Explanation
The floors from 7 to 1 are arranged as follows: Floor 7 is T, Floor 6 is Q, Floor 5 is S, Floor 4 is V, Floor 3 is R, Floor 2 is P, and Floor 1 is U. This arrangement satisfies all given conditions: four persons live between T and P, two persons live between S and P, V lives immediately above R, U lives below V, and four persons live between U and Q. Therefore, Q lives on the 6th floor.
32Reasoning
Study the following information carefully and answer the questions given below.
Seven persons live in a seven-storey building. The ground floor is numbered as 1 and the topmost floor is numbered as 7. Four persons live between T and P, who lives below T's floor. Two persons live between S and P. V lives immediately above R's floor. More than three persons live between U and Q. U lives below V's floor.
How many persons live between U and S?
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Answer: (D) Three
Explanation
Based on the floor arrangement (Floor 7: T, Floor 6: Q, Floor 5: S, Floor 4: V, Floor 3: R, Floor 2: P, Floor 1: U), U lives on Floor 1 and S lives on Floor 5. The floors between them are 2, 3, and 4, which are occupied by P, R, and V respectively. Hence, exactly three persons live between U and S.
33Reasoning
Study the following information carefully and answer the questions given below.
Seven persons live in a seven-storey building. The ground floor is numbered as 1 and the topmost floor is numbered as 7. Four persons live between T and P, who lives below T's floor. Two persons live between S and P. V lives immediately above R's floor. More than three persons live between U and Q. U lives below V's floor.
Who among the following lives just below the floor on which S lives?
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Answer: (B) V
Explanation
In the building arrangement from top to bottom (T, Q, S, V, R, P, U), S lives on the 5th floor. The person living on the 4th floor, directly below S, is V.
34Reasoning
Study the following information carefully and answer the questions given below.
Seven persons live in a seven-storey building. The ground floor is numbered as 1 and the topmost floor is numbered as 7. Four persons live between T and P, who lives below T's floor. Two persons live between S and P. V lives immediately above R's floor. More than three persons live between U and Q. U lives below V's floor.
The number of persons live between T and V is the same as the number of persons live between ____ and ____?
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Answer: (A) S, P
Explanation
In the building arrangement (Floor 7: T, Floor 6: Q, Floor 5: S, Floor 4: V, Floor 3: R, Floor 2: P, Floor 1: U), two persons (Q and S) live between T and V. Similarly, two persons (V and R) live between S (Floor 5) and P (Floor 2).
35Reasoning
Study the following information carefully and answer the questions given below.
Seven persons live in a seven-storey building. The ground floor is numbered as 1 and the topmost floor is numbered as 7. Four persons live between T and P, who lives below T's floor. Two persons live between S and P. V lives immediately above R's floor. More than three persons live between U and Q. U lives below V's floor.
Four of the following five are alike in a certain way so form a group, which of the following does not belong to that group?
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Answer: (E) Q
Explanation
According to the floor plan, S lives on Floor 5, R lives on Floor 3, T lives on Floor 7, U lives on Floor 1, and Q lives on Floor 6. S, R, T, and U all live on odd-numbered floors, making Q the only person living on an even-numbered floor.
36Reasoning
Study the following alphanumeric series carefully and answer the questions given below:
M | U 6 L 7 ⊕ 1 K 8 % T 2 3 $ C H 9 # G ⊕ N R ⊕ 5 4 W * D
How many such numbers are there which are immediately preceded by an alphabet and immediately followed by a symbol?
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Answer: (A) Three
Explanation
Scanning the given alphanumeric series for the pattern Alphabet - Number - Symbol yields three instances: L 7 ⊕, K 8 %, and H 9 #. Thus, there are three such numbers.
37Reasoning
Study the following alphanumeric series carefully and answer the questions given below:
M | U 6 L 7 ⊕ 1 K 8 % T 2 3 $ C H 9 # G ⊕ N R ⊕ 5 4 W * D
Which of the following element is 9ᵗʰ to the right of the element that is 10ᵗʰ from the left end of the series?
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Answer: (B) #
Explanation
To find the element 9th to the right of the 10th element from the left end, sum the positions: 10 + 9 = 19th element from the left end. Counting from the left in the series, the 19th element is #.
38Reasoning
Study the following alphanumeric series carefully and answer the questions given below:
M | U 6 L 7 ⊕ 1 K 8 % T 2 3 $ C H 9 # G ⊕ N R ⊕ 5 4 W * D
How many such alphabets are there in the above arrangement each of which is immediately followed and preceded by a number?
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Answer: (C) Two
Explanation
Scanning the arrangement for the pattern Number - Alphabet - Number reveals two occurrences: 6 L 7 and 1 K 8. Thus, there are two such alphabets.
In the given alphanumeric series, the elements forming the group pattern are spaced two positions apart to the right (+2, +2). In GN5, N is located two positions to the right of G, but 5 is located three positions to the right of N (G φ N R @ 5). Since it follows a +2, +3 pattern instead of the standard +2, +2 spacing, GN5 breaks the common rule and does not belong to the group.
After removing all alphabets (M, U, L, K, T, C, H, G, N, R, W, D) from the original series, the remaining sequence of non-alphabet elements from left to right becomes:
What will come in the place of question (?) mark in following questions.
128.48 + ? = 7³ - √(484)
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Answer: (C) 192.52
Explanation
Evaluate the powers and roots on the right-hand side:
7³ = 343
√484 = 22
7³ - √484 = 343 - 22 = 321
Solve for the missing term:
128.48 + ? = 321
? = 321 - 128.48 = 192.52
51Numerical Ability
What will come in the place of question (?) mark in following questions.
(? % o f 480) ÷ (4 % o f 540) = 5.6
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Answer: (B) 25.2
Explanation
The expression is written as (x % × 480) ÷ (4 % × 540) = 5.6.
Calculate 4 % of 540 = 21.6.
The equation becomes 4.8x ÷ 21.6 = 5.6.
Multiplying both sides by 21.6 yields 4.8x = 120.96.
Dividing by 4.8 gives x = 25.2.
52Numerical Ability
What will come in the place of question (?) mark in following questions.
(197 + 103)% o f 45 - (8)² = 4× ? - 29
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Answer: (D) 25
Explanation
Calculate (197 + 103)% of 45 = 300% of 45 = 135.
Evaluate 8² = 64.
Subtracting gives 135 - 64 = 71.
The linear equation is 71 = 4 × ? - 29.
Adding 29 to both sides gives 4 × ? = 100, which gives ? = 25.
53Numerical Ability
What will come in the place of question (?) mark in following questions.
2000 ÷ 50 × 3 + 5 = (?)³
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Answer: (A) 5
Explanation
Following the order of operations:
2000 ÷ 50 = 40
40 × 3 = 120
120 + 5 = 125
Taking the cube root of 125 gives 5.
54Numerical Ability
What will come in place of question mark (?) in the following series questions?
9, 14, 24, 41, 67, ?
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Answer: (C) 104
Explanation
The differences between consecutive terms are:
14 - 9 = 5 = 2² + 1
24 - 14 = 10 = 3² + 1
41 - 24 = 17 = 4² + 1
67 - 41 = 26 = 5² + 1
The next difference is 6² + 1 = 37.
Adding 37 to 67 gives 104.
55Numerical Ability
What will come in place of question mark (?) in the following series questions?
7, 3.5, 3.5, 7, 28, ?
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Answer: (E) 224
Explanation
The pattern of multiplication between terms is:
7 × 0.5 = 3.5
3.5 × 1 = 3.5
3.5 × 2 = 7
7 × 4 = 28
The multiplier doubles at each step: 0.5, 1, 2, 4, 8.
The next term is 28 × 8 = 224.
56Numerical Ability
What will come in place of question mark (?) in the following series questions?
6, 5, 9, 26, ?, 514
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Answer: (B) 103
Explanation
The pattern for each term in the series is:
6 × 1 - 1 = 5
5 × 2 - 1 = 9
9 × 3 - 1 = 26
Continuing this pattern gives 26 × 4 - 1 = 103.
Checking the next term: 103 × 5 - 1 = 514.
57Numerical Ability
What will come in place of question mark (?) in the following series questions?
6, 10, 15, 22, 32, ?
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Answer: (A) 46
Explanation
The first differences between terms are:
10 - 6 = 4
15 - 10 = 5
22 - 15 = 7
32 - 22 = 10
The second differences are 1, 2, 3, so the next first difference increases by 4 to become 14.
Adding 14 to 32 gives 46.
58Numerical Ability
What will come in place of question mark (?) in the following series questions?
3, 17, 45, 87, ?, 213
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Answer: (D) 143
Explanation
The differences between terms are:
17 - 3 = 14
45 - 17 = 28
87 - 45 = 42
The pattern of differences is 14 × 1, 14 × 2, 14 × 3, 14 × 4.
The next difference is 14 × 4 = 56.
Adding 56 to 87 gives 143.
Checking the final term: 143 + 70 = 213.
59Numerical Ability
Table given below shows total number of orders of an item received by three people in four different months. Read the data carefully and answer the questions.
People May June July August
A 68 112 96 119
B 84 64 80 75
C 72 88 118 63
Total orders received by A in May | July together are what percent more than total orders received by C in May | June together?
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Answer: (A) 2.5%
Explanation
Total orders received by A in May and July = 68 + 96 = 164.
Total orders received by C in May and June = 72 + 88 = 160.
The difference is 164 - 160 = 4.
Percentage more = (4 ÷ 160) × 100 = 2.5%.
60Numerical Ability
Table given below shows total number of orders of an item received by three people in four different months. Read the data carefully and answer the questions.
People May June July August
A 68 112 96 119
B 84 64 80 75
C 72 88 118 63
Find the difference between average number of orders received by all three in June and total orders received by A in August?
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Answer: (E) 31
Explanation
Average number of orders in June = (112 + 64 + 88) ÷ 3 = 264 ÷ 3 = 88.
Total orders received by A in August = 119.
Difference = 119 - 88 = 31.
61Numerical Ability
Table given below shows total number of orders of an item received by three people in four different months. Read the data carefully and answer the questions.
People May June July August
A 68 112 96 119
B 84 64 80 75
C 72 88 118 63
Find the ratio of total orders received by A | B together in month of July to total orders received by B | C together in month of May?
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Answer: (C) 44 : 39
Explanation
Total orders received by A and B together in July = 96 + 80 = 176.
Total orders received by B and C together in May = 84 + 72 = 156.
Required ratio = 176 : 156 = 44 : 39.
62Numerical Ability
Table given below shows total number of orders of an item received by three people in four different months. Read the data carefully and answer the questions.
People May June July August
A 68 112 96 119
B 84 64 80 75
C 72 88 118 63
If in the month of September total orders received by A is 12 more than total orders received by B | C together in August, then find total order received by C in July is what percent of total orders received by A in September?
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Answer: (C) 78 ⅔ %
Explanation
Total orders received by B and C together in August = 75 + 63 = 138.
Total orders received by A in September = 138 + 12 = 150.
Total orders received by C in July = 118.
Required percentage = (118 / 150) × 100 = 236 / 3 = 78 ⅔ %.
63Numerical Ability
Table given below shows total number of orders of an item received by three people in four different months. Read the data carefully and answer the questions.
People May June July August
A 68 112 96 119
B 84 64 80 75
C 72 88 118 63
If total orders received by B | C together in month of September is ⁷⁄₄ th of total order received by B in July and the ratio of total orders received by B to that of C in September is 9 : 5, then find the difference between orders received by B and C in month of September?
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Answer: (A) 40
Explanation
Total orders received by B in July = 80.
Total orders received by B and C together in September = (7/4) × 80 = 140.
Given ratio of orders received by B to C in September is 9 : 5.
Difference between orders received by B and C in September = 140 × (9 - 5) / (9 + 5) = 140 × 4 / 14 = 40.
64Numerical Ability
Bar graph given below shows total number of animals in four different zoos. Read the data carefully and answer the questions.
| Zoo | Number of Animals |
|---|---|
| A | 250 |
| B | 350 |
| C | 300 |
| D | 400 |
Find total number of animals in all four zoos?
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Answer: (D) 1300
Explanation
To find the total number of animals in all four zoos, add the number of animals present in each zoo:
Total animals = Zoo A + Zoo B + Zoo C + Zoo D
Total animals = 250 + 350 + 300 + 400 = 1300
65Numerical Ability
Present age of a man is four times more than his son and four yeas ago the age of man was nine times of the age of his son. Find the present age of the man?
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Answer: (A) 40 years
Explanation
Let the present age of the son be x years.
The father's present age is 4 times more than the son's age, which equals x + 4x = 5x years.
Four years ago, the father's age was 5x - 4 and the son's age was x - 4.
According to the given condition:
5x - 4 = 9(x - 4)
5x - 4 = 9x - 36
4x = 32
x = 8
Thus, the present age of the man is 5 × 8 = 40 years.
66Numerical Ability
Two pipes A | B individually fill an empty tank in 15 hours and 45 hours respectively. A pipe C can empty the same tank in 30 hours. If all three pipes opened together in the tank, then in how many hours the tank will be filled completely?
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Answer: (B) 18 hours
Explanation
Let the total capacity of the tank be 90 units (LCM of 15, 45, and 30).
Efficiency of pipe A = +6 units/hour, pipe B = +2 units/hour, and emptying pipe C = -3 units/hour.
Net filling rate per hour when all three pipes are opened = 6 + 2 - 3 = 5 units/hour.
Total time required to fill the tank = 90 / 5 = 18 hours.
67Numerical Ability
A and B started a business by investing amount of Rs. 5000 | Rs. 15000 respectively. If after six months B left the business and the profit share of B is Rs. 600 after one year, then find the total profit?
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Answer: (E) 1000 Rs.
Explanation
Profit sharing ratio is given by the product of investment and time duration.
Ratio of profit share A : B = (5000 × 12) : (15000 × 6) = 60000 : 90000 = 2 : 3.
Given B's profit share is Rs. 600, which corresponds to 3 parts out of total 5 parts.
Total profit = 600 × 5 / 3 = 1000 Rs.
68Numerical Ability
The ratio of milk to water in 60 liters mixture is 7 : 3. Find how much water should be mixed in the mixture so that quantity of milk becomes 33 ⅓ % of resulting mixture?
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Answer: (E) 66
Explanation
In 60 liters of mixture, quantity of milk = 60 × (7/10) = 42 liters.
When water is added, the quantity of milk remains unchanged at 42 liters.
In the resulting mixture, milk represents 33 ⅓ % (which is ⅓) of the total volume.
Total volume of new mixture = 42 × 3 = 126 liters.
Quantity of water added = 126 - 60 = 66 liters.
69Numerical Ability
Average of four consecutive even numbers is 37 and average of four consecutive odd numbers is 30. Find difference between highest even number and second smallest odd number?
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Answer: (D) 11
Explanation
The average of four consecutive even numbers is 37, so the four even numbers are 34, 36, 38, and 40. The highest even number is 40.
The average of four consecutive odd numbers is 30, so the four odd numbers are 27, 29, 31, and 33. The second smallest odd number is 29.
Difference = 40 - 29 = 11.
70Numerical Ability
Speed of boat in upstream is 60% of the speed of boat in downstream. The speed of boat in still water is 6 km/hr more than the speed of stream. Find the total time taken by boat to cover 70 km in downstream and 30 km in upstream together?
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Answer: (D) 12 hours
Explanation
Let the speed of the boat in still water be u km/hr and speed of stream be v km/hr.
Given u - v = 6 km/hr, which is the upstream speed.
Upstream speed is 60% of downstream speed, so 6 = 0.6 × Downstream speed.
Downstream speed = 6 / 0.6 = 10 km/hr.
Total time taken = (70 / 10) + (30 / 6) = 7 + 5 = 12 hours.
71Numerical Ability
A train cross a pole in 25 seconds and a 240 meters long platform in 40 seconds. Find the length of the train?
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Answer: (D) 400 m
Explanation
The time taken to cross the platform is 40 seconds and the time to cross the pole is 25 seconds. The additional 15 seconds (40 - 25) are taken to cover the platform's length of 240 meters.
Speed of the train = 240 / 15 = 16 m/s
Using the relationship Length = Speed × Time, the length of the train is:
Length = 16 × 25 = 400 meters
72Numerical Ability
A alone can complete a work in 25 days and B alone can complete the same work in 15 days. If C is 60% less efficient than B, then find time taken by A and C together to complete the same work?
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Answer: (B) 15 days
Explanation
Let total work be 150 units (LCM of 25 and 15).
Efficiency of A = 150 / 25 = 6 units/day
Efficiency of B = 150 / 15 = 10 units/day
Since C is 60% less efficient than B:
Efficiency of C = 10 × (1 - 0.60) = 4 units/day
Combined efficiency of A and C = 6 + 4 = 10 units/day
Time taken by A and C together = 150 / 10 = 15 days
73Numerical Ability
A man sells a chair at Rs.960 and earns a profit of 20%. If the man wants to sell it at a profit of 40%, then at what price he should sell the chair?
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Answer: (A) 1120 Rs.
Explanation
Selling price (SP) with profit rate P% is related to Cost Price (CP) by SP = CP × (1 + P/100).
At 20% profit:
960 = CP × 1.20
CP = 800 Rs.
To earn 40% profit, the required selling price is:
New SP = 800 × 1.40 = 1120 Rs.
Alternatively, using direct ratio:
New SP = 960 × (140 / 120) = 1120 Rs.
74Numerical Ability
A borrowed Rs. P from B at 20% p.a. on compound interest annually. If A paid total amount of Rs.34,560 to B for settle his debt after three years, then find value of P?
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Answer: (C) 20,000
Explanation
The compound interest amount formula is A = P(1 + r/100)ⁿ, where A = 34,560, r = 20%, and n = 3 years.
34,560 = P × (1 + 20/100)³
34,560 = P × (6/5)³
34,560 = P × (216 / 125)
Solving for P:
P = (34,560 × 125) / 216
P = 160 × 125 = 20,000
The principal amount borrowed is 20,000 Rs.
75Numerical Ability
An amount is divided among A, B and C in the ratio of 1 : 4 : 3 respectively. If the amount received by C is Rs. 14,000 more than the amount received by A, then find the amount received by B?
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Answer: (D) Rs. 28,000
Explanation
Let the shares of A, B, and C be x, 4x, and 3x respectively.
Given that C's share is Rs. 14,000 more than A's share:
3x - x = 14,000
2x = 14,000
x = 7,000
The amount received by B is:
4x = 4 × 7,000 = 28,000 Rs.
76Numerical Ability
The area of a rectangle is equal to the area of a square whose diagonal is 4√6 cm. If the ratio of the length and width of the rectangle is 4:3, then find the perimeter of the rectangle?
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Answer: (C) 28 cm
Explanation
For a square with diagonal d = 4√6 cm:
Area of square = d² / 2 = (4√6)² / 2 = 96 / 2 = 48 cm²
The area of the rectangle is equal to the area of the square, so Area = 48 cm².
Given the ratio of length to width is 4:3, let length = 4x and width = 3x.
Area = 4x × 3x = 12x² = 48
x² = 4
x = 2
Length = 4 × 2 = 8 cm
Width = 3 × 2 = 6 cm
Perimeter of rectangle = 2(length + width) = 2(8 + 6) = 28 cm
