Study the following information carefully and answer the questions given below:
Certain numbers of persons sit in a row face north direction. E sits 2nd to the right of F. Two persons sit between G and E. D sits immediate right of G. The numbers of persons sit to the left of D is same as to right of C. Four persons sit between D and H who does not sit near F. C sits 2nd to the left of H. B sits 2nd from the extreme end but not sit near E. No one sits left of F. A sits 2nd to the left of G.
Who sits 3rd to the right of D?
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Answer: (D) C
Explanation
Placing the persons in sequence based on the conditions establishes that F is at position 1, E at 3, A at 4, G at 6, D at 7, C at 10, H at 12, and B at 15 in a row of 16 persons. D is located at position 7 and position 10 corresponds to C, which is 3 places to the right of D.
2Reasoning
Study the following information carefully and answer the questions given below:
Certain numbers of persons sit in a row face north direction. E sits 2nd to the right of F. Two persons sit between G and E. D sits immediate right of G. The numbers of persons sit to the left of D is same as to right of C. Four persons sit between D and H who does not sit near F. C sits 2nd to the left of H. B sits 2nd from the extreme end but not sit near E. No one sits left of F. A sits 2nd to the left of G.
How many persons sit in the row?
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Answer: (E) 16
Explanation
F sits at position 1, E at position 3, G at position 6, D at position 7, C at position 10, and H at position 12. Since 6 persons sit to the left of D, there must also be 6 persons to the right of C, placing the last person at position 16.
3Reasoning
Study the following information carefully and answer the questions given below:
Certain numbers of persons sit in a row face north direction. E sits 2nd to the right of F. Two persons sit between G and E. D sits immediate right of G. The numbers of persons sit to the left of D is same as to right of C. Four persons sit between D and H who does not sit near F. C sits 2nd to the left of H. B sits 2nd from the extreme end but not sit near E. No one sits left of F. A sits 2nd to the left of G.
How many persons sit between C and A?
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Answer: (E) More than 4
Explanation
From the arrangement, A is located at position 4 and C is located at position 10. The positions between them are 5, 6, 7, 8, and 9, which total 5 persons, representing a count of more than 4.
4Reasoning
Study the following information carefully and answer the questions given below:
Certain numbers of persons sit in a row face north direction. E sits 2nd to the right of F. Two persons sit between G and E. D sits immediate right of G. The numbers of persons sit to the left of D is same as to right of C. Four persons sit between D and H who does not sit near F. C sits 2nd to the left of H. B sits 2nd from the extreme end but not sit near E. No one sits left of F. A sits 2nd to the left of G.
Four of the following five are alike in a certain way and hence form a group. Which of the following does not belong to that group?
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Answer: (D) F
Explanation
In the linear arrangement, F sits at position 1, which is the extreme left end of the row. All other listed individuals—E at position 3, A at position 4, G at position 6, and D at position 7—sit in interior positions rather than at an extreme end.
5Reasoning
Study the following information carefully and answer the questions given below:
Certain numbers of persons sit in a row face north direction. E sits 2nd to the right of F. Two persons sit between G and E. D sits immediate right of G. The numbers of persons sit to the left of D is same as to right of C. Four persons sit between D and H who does not sit near F. C sits 2nd to the left of H. B sits 2nd from the extreme end but not sit near E. No one sits left of F. A sits 2nd to the left of G.
What is the position of E with respect to D?
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Answer: (B) 4th to the left
Explanation
D is seated at position 7 and E is seated at position 3. Counting four positions to the left from D gives position 3, which is where E is located.
6Reasoning
Study the following questions and answering the questions referring to the word sequence given below:
ROW FIX FOG LAN COW
If first and second letter of each word is interchanged, then how many meaningful words will be formed?
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Answer: (E) None of these
Explanation
Swapping the first and second letters converts ROW to ORW, FIX to IFX, FOG to OFG, LAN to ALN, and COW to OWC. None of these five generated letter combinations form a meaningful word.
7Reasoning
Study the following questions and answering the questions referring to the word sequence given below:
ROW FIX FOG LAN COW
If each consonant is changed to its previous letter in the alphabetical series and each vowel is changed to its next letter in the alphabetical series, then how many words contain at least one vowel?
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Answer: (C) Two
Explanation
Applying the rule transforms ROW to QPV, FIX to EJW, FOG to EPF, LAN to KBM, and COW to BPV. Out of these, EJW and EPF each contain the vowel E, making two words with at least one vowel.
8Reasoning
Study the following questions and answering the questions referring to the word sequence given below:
ROW FIX FOG LAN COW
If words are arranged according to the dictionary order from left to right, which word is second from the right end?
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Answer: (B) LAN
Explanation
Arranging the given words alphabetically from left to right yields COW, FIX, FOG, LAN, and ROW. The second word from the right end in this five-word sequence is LAN.
9Reasoning
Study the following questions and answering the questions referring to the word sequence given below:
ROW FIX FOG LAN COW
If all the letters in each word are arranged according to the alphabetical order from left to right, and then first and second letter are interchanged in each word then how many meaningful words will be formed?
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Answer: (B) One
Explanation
Sorting letters alphabetically produces ORW, FIX, FGO, ALN, and COW. Interchanging the first and second letters gives ROW, IFX, GFO, LAN, and OCW. Among these, ROW is a valid English word, resulting in a count of 1.
10Reasoning
Study the following questions and answering the questions referring to the word sequence given below:
ROW FIX FOG LAN COW
If last letter of each given word is changed to its next letter according to alphabetical series, then how many words contain more than one vowel?
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Answer: (A) One
Explanation
Changing the final letter of each word to its successor yields ROX, FIY, FOH, LAO, and COX. Only LAO contains more than one vowel (A and O), giving a total of one word.
11Reasoning
In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions. Give answer
Statements: Q ≥ S = D ≥ C > F ≤ G = T
Conclusions:
I. D = F
II. S > F
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Answer: (B) If only conclusion II is true
Explanation
From the combined relation Q ≥ S = D ≥ C > F ≤ G = T, we compare S and F through the path S = D ≥ C > F. Since there is a strict inequality sign (>), the relation S > F holds strictly. Consequently, S > F is true, whereas D = F is false. Therefore, only conclusion II is true.
12Reasoning
In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions. Give answer
Statements: W ≤ Y > Z = X > P > J
Conclusions:
I. J < Z
II. X < W
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Answer: (A) If only conclusion I is true
Explanation
From the given statement W ≤ Y > Z = X > P > J, comparing Z and J yields Z > J, which is equivalent to J < Z, making conclusion I true. For conclusion II, moving from W to X involves opposite inequality signs (≤ and >), so no definite relationship exists between X and W. Therefore, only conclusion I is true.
13Reasoning
In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions. Give answer
Statements: S > G ≥ J ≤ N < B > V = O
Conclusions:
I. V ≤ G
II. G < O
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Answer: (C) If either conclusion I or II is true
Explanation
In the statement S > G ≥ J ≤ N < B > V = O, the signs between G and V (or O) are in opposite directions, meaning neither G ≥ V nor G < V can be individually confirmed as true. Since V = O, the two conclusions represent G ≥ V and G < V. Together, these two mutually exclusive and exhaustive conditions cover all possible relations (>, =, <) between G and V, forming an either-or pair.
14Reasoning
In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions. Give answer
Statements: W ≤ F < V = X ≥ B ≥ N
Conclusions:
I. F > B
II. X ≥ W
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Answer: (D) If neither conclusion I nor II is true
Explanation
From the statement W ≤ F < V = X ≥ B ≥ N, comparing F and B involves opposite signs (< and ≥), so F > B cannot be established. Comparing W and X gives W < X, which implies X > W strictly. Because X > W is strictly true, X = W is impossible, making X ≥ W false. Thus, neither conclusion I nor II is true.
15Reasoning
Study the following information carefully and answer the questions given below:
Six boxes i.e., B, Q, R, S, T and W are arranged one above the other but not necessarily in the same order. Three boxes are placed between box R and box S. Box Q is placed just above the box B. More than two boxes are placed below the box R. Box T is placed two places above the box Q.
Which box is placed just above box S?
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Answer: (C) Box W
Explanation
Placing the six boxes from top (position 6) to bottom (position 1), box R is at position 5 so that four boxes are below it. Three boxes lie between R and S, placing S at position 1. Box T is two places above Q, and Q is directly above B, which fits at positions 6 (T), 5 (R), 4 (Q), and 3 (B). The remaining box W takes position 2. Therefore, box W is directly above box S.
16Reasoning
Study the following information carefully and answer the questions given below:
Six boxes i.e., B, Q, R, S, T and W are arranged one above the other but not necessarily in the same order. Three boxes are placed between box R and box S. Box Q is placed just above the box B. More than two boxes are placed below the box R. Box T is placed two places above the box Q.
How many boxes are placed between box W and box T?
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Answer: (C) Three
Explanation
In the top-to-bottom arrangement T (6), R (5), Q (4), B (3), W (2), S (1), box T occupies position 6 and box W occupies position 2. The boxes situated between T and W are R, Q, and B, totaling three boxes.
17Reasoning
Study the following information carefully and answer the questions given below:
Six boxes i.e., B, Q, R, S, T and W are arranged one above the other but not necessarily in the same order. Three boxes are placed between box R and box S. Box Q is placed just above the box B. More than two boxes are placed below the box R. Box T is placed two places above the box Q.
Which box is placed at the bottommost position?
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Answer: (A) Box S
Explanation
Based on the arrangement T (6), R (5), Q (4), B (3), W (2), S (1), box S occupies position 1, which is the bottommost position.
18Reasoning
Study the following information carefully and answer the questions given below:
Six boxes i.e., B, Q, R, S, T and W are arranged one above the other but not necessarily in the same order. Three boxes are placed between box R and box S. Box Q is placed just above the box B. More than two boxes are placed below the box R. Box T is placed two places above the box Q.
How many boxes are placed below box Q?
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Answer: (B) Three
Explanation
In the order T (6), R (5), Q (4), B (3), W (2), S (1), box Q is placed at position 4. The boxes located below Q are B, W, and S, making a total of three boxes.
19Reasoning
Study the following information carefully and answer the questions given below:
Six boxes i.e., B, Q, R, S, T and W are arranged one above the other but not necessarily in the same order. Three boxes are placed between box R and box S. Box Q is placed just above the box B. More than two boxes are placed below the box R. Box T is placed two places above the box Q.
If all the boxes are arranged in alphabetical order from top to bottom then how many boxes remain unchanged?
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Answer: (E) None
Explanation
The original top-to-bottom order is T, R, Q, B, W, S. Arranging the six boxes alphabetically from top to bottom gives B, Q, R, S, T, W. Comparing each position:
Position 6: T becomes B
Position 5: R becomes Q
Position 4: Q becomes R
Position 3: B becomes S
Position 2: W becomes T
Position 1: S becomes W
No box remains in its original position.
20Reasoning
Study the following information carefully to answer the given questions:
C is daughter-in-law of D who has only two children. A is grandmother of F who is niece of B. B is sister of E and child of D. G is grandchild of D who is married. No single parent lives in the family.
How G is related to C?
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Answer: (E) Either son or daughter
Explanation
D has two children, B (female) and E. C is D's daughter-in-law, so C is married to E. Since A is the grandmother of F and F is the niece of B, F is the daughter of E and C. G is a grandchild of D, making G a child of E and C. Because the gender of G is not specified, G can be either the son or the daughter of C.
21Reasoning
Study the following information carefully to answer the given questions:
C is daughter-in-law of D who has only two children. A is grandmother of F who is niece of B. B is sister of E and child of D. G is grandchild of D who is married. No single parent lives in the family.
Four of the following five are alike in a certain way and thus form a group. Who among the following doesn't belong to the group?
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Answer: (C) D
Explanation
D is married to A, making D the grandfather (male) and A the grandmother (female). Their children are B (female) and E (male), where E is married to C (female). E and C have two children, F (female) and G. Therefore, D is male while A, B, C, and F are all female.
22Reasoning
If we form a four-letter meaningful word by using the second, third, fourth and eleventh letter from the left end of the word 'REPRODUCTION', then which of the following will be the fourth letter of the meaningful word thus formed. If more than one meaningful word is formed mark Z as your answer. If no meaningful word is formed, mark X as your answer?
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Answer: (E) Z
Explanation
The 2nd, 3rd, 4th, and 11th letters from the left end of REPRODUCTION are E, P, R, and O respectively. Using these letters, more than one valid four-letter English word can be formed, including PORE and ROPE.
23Reasoning
Study the following information carefully to answer the given questions:
Seven persons are designated at seven different designations- Senior executive, Executive, SO, HR, Product head, ST and Admin in a company. The designations are given in decreasing order such as the Senior executive is the senior most designation and Admin is the junior most designation.
More than two persons are senior to R. Only two persons are designated between R and V. V is designated as senior to SO. Q is designated two persons senior to S but junior to R. As many persons designated between Q and S as between Q and U. P is senior to T.
How many persons are designated between V and Q?
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Answer: (A) Three
Explanation
The designations from senior to junior are Senior executive (1), Executive (2), SO (3), HR (4), Product head (5), ST (6), and Admin (7). Based on the conditions, V is at rank 1, P is at rank 2, U is at rank 3, R is at rank 4, Q is at rank 5, T is at rank 6, and S is at rank 7. There are exactly 3 persons (P, U, and R) between V and Q.
24Reasoning
Study the following information carefully to answer the given questions:
Seven persons are designated at seven different designations- Senior executive, Executive, SO, HR, Product head, ST and Admin in a company. The designations are given in decreasing order such as the Senior executive is the senior most designation and Admin is the junior most designation.
More than two persons are senior to R. Only two persons are designated between R and V. V is designated as senior to SO. Q is designated two persons senior to S but junior to R. As many persons designated between Q and S as between Q and U. P is senior to T.
Who among the following is designated as Executive?
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Answer: (B) P
Explanation
Arranging the seven persons from senior to junior yields Senior executive (V), Executive (P), SO (U), HR (R), Product head (Q), ST (T), and Admin (S). Thus, P is designated as Executive.
25Reasoning
Study the following information carefully to answer the given questions:
Seven persons are designated at seven different designations- Senior executive, Executive, SO, HR, Product head, ST and Admin in a company. The designations are given in decreasing order such as the Senior executive is the senior most designation and Admin is the junior most designation.
More than two persons are senior to R. Only two persons are designated between R and V. V is designated as senior to SO. Q is designated two persons senior to S but junior to R. As many persons designated between Q and S as between Q and U. P is senior to T.
As many persons are to U as junior to ______.
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Answer: (C) Q
Explanation
U is at rank 3 (SO), meaning exactly 2 persons are senior to U. Q is at rank 5 (Product head), meaning exactly 2 persons (T and S) are junior to Q.
26Reasoning
Study the following information carefully to answer the given questions:
Seven persons are designated at seven different designations- Senior executive, Executive, SO, HR, Product head, ST and Admin in a company. The designations are given in decreasing order such as the Senior executive is the senior most designation and Admin is the junior most designation.
More than two persons are senior to R. Only two persons are designated between R and V. V is designated as senior to SO. Q is designated two persons senior to S but junior to R. As many persons designated between Q and S as between Q and U. P is senior to T.
If V is related to U, in the similar way P is related to R then who among the following is related to S?
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Answer: (D) Q
Explanation
V (rank 1) is two ranks senior to U (rank 3), and P (rank 2) is two ranks senior to R (rank 4). Following the same pattern, Q (rank 5) is two ranks senior to S (rank 7).
27Reasoning
Study the following information carefully to answer the given questions:
Seven persons are designated at seven different designations- Senior executive, Executive, SO, HR, Product head, ST and Admin in a company. The designations are given in decreasing order such as the Senior executive is the senior most designation and Admin is the junior most designation.
More than two persons are senior to R. Only two persons are designated between R and V. V is designated as senior to SO. Q is designated two persons senior to S but junior to R. As many persons designated between Q and S as between Q and U. P is senior to T.
Which among the following statements is/are true?
I. V is the senior most person among all
II. More than three persons are junior to R
III. Odd number of persons designated between P and T
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Answer: (E) Both I and III
Explanation
V is at rank 1 (Senior executive), so Statement I is true. R is at rank 4 (HR), which means exactly 3 persons (Q, T, S) are junior to R, making Statement II false. The number of persons between P (rank 2) and T (rank 6) is 3 (U, R, Q), which is an odd number, so Statement III is true.
28Reasoning
In the word 'REPLACED', how many pairs of the letters have the same number of letters between them (both forward and backward direction) in the word as in the alphabetical series?
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Answer: (D) Three
Explanation
In the word REPLACED, the letter positions and values yield three pairs that have as many letters between them as in the English alphabetical series: (R, P) with 1 letter between them, (A, D) with 2 letters between them, and (E, D) with 0 letters between them.
29Reasoning
In the question below some statements are given followed by the conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow from the given statements disregarding commonly known facts.
Statements:
Only a few fans are fridges
All fridges are cooler
Conclusions:
I. All fans are fridges
II. No fans are fridges
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Answer: (E) Neither conclusion I nor II follows
Explanation
The statement "Only a few fans are fridges" means that some fans are fridges while some fans are definitely not fridges. Consequently, "All fans are fridges" is false, and "No fans are fridges" is also false because a portion of fans is indeed fridges. Thus, neither conclusion follows.
30Reasoning
In the question below some statements are given followed by the conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow from the given statements disregarding commonly known facts.
Statements:
Only flavour is spices
Some taste is flavour
Conclusions:
I. No taste is spices
II. All flavour can never be taste
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Answer: (D) Both conclusions I and II follow
Explanation
"Only flavour is spices" translates to "All spices are flavour" with the restriction that spices cannot overlap with any set other than flavour. Since spices cannot be taste, Conclusion I ("No taste is spices") is true. If all flavours were taste, then spices would also be taste, which violates the condition; thus, Conclusion II ("All flavour can never be taste") is also true.
31Reasoning
Find the odd one out?
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Answer: (C) OLQ
Explanation
Analyzing the alphabetical positions of letters:
B(2) +2 -> D(4) +5 -> I(9)
Q(17) +2 -> S(19) +5 -> X(24)
O(15) -3 -> L(12) +5 -> Q(17)
R(18) +2 -> T(20) +5 -> Y(25)
G(7) +2 -> I(9) +5 -> N(14)
The pattern in all groups except OLQ is adding 2 to the position of the first letter to get the second letter, and adding 5 to the second letter to get the third letter. OLQ deviates by subtracting 3 from the first letter to get the second letter.
32Reasoning
Study the following information carefully to answer the given questions:
Eight persons sit around a square table such that four of them sit at the corners of the table and face towards the centre where the remaining four sit at the middle of the side and face away from the centre of the table.
D sits second to the right of H. One person sits between H and A. F sits adjacent to A and sits at the corner of the table. E sits second to the left of F but doesn't sit adjacent to A. G sits adjacent to both B and C who doesn't face F.
How many persons sit between G and E when counted from the right of G?
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Answer: (D) Four
Explanation
The seating arrangement around the square table in clockwise order starting from a corner is:
Corner 1 (Facing IN): F
Middle 1 (Facing OUT): H
Corner 2 (Facing IN): E
Middle 2 (Facing OUT): D
Corner 3 (Facing IN): B
Middle 3 (Facing OUT): G
Corner 4 (Facing IN): C
Middle 4 (Facing OUT): A
Since G sits at the middle of a side and faces away from the centre, the right of G is in the clockwise direction. Moving clockwise from G to E, the persons sitting between them are C, A, F, and H. Thus, four persons sit between G and E.
33Reasoning
Study the following information carefully to answer the given questions:
Eight persons sit around a square table such that four of them sit at the corners of the table and face towards the centre where the remaining four sit at the middle of the side and face away from the centre of the table.
D sits second to the right of H. One person sits between H and A. F sits adjacent to A and sits at the corner of the table. E sits second to the left of F but doesn't sit adjacent to A. G sits adjacent to both B and C who doesn't face F.
Four of the following five are alike in a certain way and thus form a group. Who among the following doesn't belong to the group?
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Answer: (C) A
Explanation
Based on the seating arrangement, B, F, C, and E sit at the four corners of the square table and face towards the centre of the table. In contrast, A sits at the middle of a side and faces away from the centre. Therefore, A does not belong to the group formed by the other four.
34Reasoning
Study the following information carefully to answer the given questions:
Eight persons sit around a square table such that four of them sit at the corners of the table and face towards the centre where the remaining four sit at the middle of the side and face away from the centre of the table.
D sits second to the right of H. One person sits between H and A. F sits adjacent to A and sits at the corner of the table. E sits second to the left of F but doesn't sit adjacent to A. G sits adjacent to both B and C who doesn't face F.
Which among the following statement is true?
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Answer: (D) G and D face the same direction
Explanation
Examining the seating position and facing direction of each person:
G sits at the middle of a side and faces away from the centre.
D sits at the middle of a side and faces away from the centre.
Since both G and D sit at middle positions and face outwards, they face the same direction.
35Reasoning
Study the following information carefully to answer the given questions:
Eight persons sit around a square table such that four of them sit at the corners of the table and face towards the centre where the remaining four sit at the middle of the side and face away from the centre of the table.
D sits second to the right of H. One person sits between H and A. F sits adjacent to A and sits at the corner of the table. E sits second to the left of F but doesn't sit adjacent to A. G sits adjacent to both B and C who doesn't face F.
If all the persons sit in alphabetical order starts from A in clockwise direction, then the position of how many persons remains unchanged (excluding A)?
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Answer: (B) One
Explanation
The original seating positions in clockwise order starting from A are: A, F, H, E, D, B, G, C.
Rearranging all persons in alphabetical order in the clockwise direction starting from A gives: A, B, C, D, E, F, G, H.
Comparing the original arrangement with the new alphabetical arrangement:
Position 1: F becomes B
Position 2: H becomes C
Position 3: E becomes D
Position 4: D becomes E
Position 5: B becomes F
Position 6: G remains G
Position 7: C becomes H
Excluding A, only G remains in its original position, so the position of one person remains unchanged.
36Reasoning
Study the following information carefully to answer the given questions:
Eight persons sit around a square table such that four of them sit at the corners of the table and face towards the centre where the remaining four sit at the middle of the side and face away from the centre of the table.
D sits second to the right of H. One person sits between H and A. F sits adjacent to A and sits at the corner of the table. E sits second to the left of F but doesn't sit adjacent to A. G sits adjacent to both B and C who doesn't face F.
What is the position of A with respect to B?
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Answer: (A) Third to the left
Explanation
B sits at a corner facing towards the centre of the table. For a person facing inwards, the left direction corresponds to moving clockwise around the table.
Starting from B and moving clockwise:
1st to the left of B is G
2nd to the left of B is C
3rd to the left of B is A
Therefore, A is third to the left of B.
37Reasoning
Study the following alpha numeric symbol series carefully and answer the questions given below:
9 M W @ Q 2 7 % J L | 2 T * U 9 6 # T Ω 1 Z 7 β L 6 3 µ Y 9
How many symbols are there in the above series which are immediately followed by a consonant and immediately preceded by a number?
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Answer: (E) Four
Explanation
We need to find combinations of the pattern Number - Symbol - Consonant in the given series:
9 M W @ Q 2 7 % J L | 2 T * U 9 6 # T Ω 1 Z 7 β L 6 3 µ Y 9
Evaluating all symbols:
% is preceded by 7 (Number) and followed by J (Consonant) -> 7 % J
is preceded by 6 (Number) and followed by T (Consonant) -> 6 # T
β is preceded by 7 (Number) and followed by L (Consonant) -> 7 β L
µ is preceded by 3 (Number) and followed by Y (Consonant) -> 3 µ Y
In total, four symbols satisfy the condition.
38Reasoning
Study the following alpha numeric symbol series carefully and answer the questions given below:
9 M W @ Q 2 7 % J L | 2 T * U 9 6 # T Ω 1 Z 7 β L 6 3 μ Y 9
Which among the following element is 8th to the right of the number which is 4th from the left end in the above series?
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Answer: (D) Ω
Explanation
Scanning the series from the left end to find the numbers:
1st number from left: 9 (position 1)
2nd number from left: 2 (position 6)
3rd number from left: 7 (position 7)
4th number from left: 2 (position 12)
Moving 8 elements to the right of position 12 gives position 20 (12 + 8 = 20).
Counting to the 20th element in the series:
13: T, 14: *, 15: U, 16: 9, 17: 6, 18: #, 19: T, 20: Ω.
The 20th element is Ω.
39Reasoning
Study the following alpha numeric symbol series carefully and answer the questions given below:
9 M W @ Q 2 7 % J L | 2 T * U 9 6 # T Ω 1 Z 7 β L 6 3 μ Y 9
If all the numbers are dropped from the above series, then which among the following will be the 18th element from the right end?
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Answer: (C) W
Explanation
The given series contains 30 total elements, including 11 numbers. Dropping all numbers leaves 19 non-number elements:
M, W, @, Q, %, J, L, | , T, *, U, #, T, Ω, Z, β, L, μ, Y
Finding the 18th element from the right end among these 19 elements is equivalent to finding the 2nd element from the left end (19 - 18 + 1 = 2).
The 2nd non-number element from the left end is W.
40Reasoning
Study the following alpha numeric symbol series carefully and answer the questions given below:
9 M W @ Q 2 7 % J L | 2 T * U 9 6 # T Ω 1 Z 7 β L 6 3 μ Y 9
What is the sum of the numbers which are immediately followed by a symbol?
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Answer: (A) 23
Explanation
Scanning the series for numbers immediately followed by a symbol:
7 in 7 % (7 is followed by symbol %)
6 in 6 # (6 is followed by symbol #)
7 in 7 β (7 is followed by symbol β)
3 in 3 μ (3 is followed by symbol μ)
Summing these numbers: 7 + 6 + 7 + 3 = 23.
41Numerical Ability
What value should come in place of question (?) mark in following number series.
24, ?, 33.25, 42.25, 42.5, 51.5
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Answer: (D) 33
Explanation
The differences between consecutive terms follow an alternating pattern of +9 and +0.25.
24 + 9 = 33
33 + 0.25 = 33.25
33.25 + 9 = 42.25
42.25 + 0.25 = 42.5
42.5 + 9 = 51.5
42Numerical Ability
What value should come in place of question (?) mark in following number series.
4, 16, 34, 58, 88, ?
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Answer: (D) 124
Explanation
The sequence of differences between consecutive terms is:
16 - 4 = 12
34 - 16 = 18
58 - 34 = 24
88 - 58 = 30
The second difference is constant at +6. Therefore, the next difference is 30 + 6 = 36.
The required number is 88 + 36 = 124.
43Numerical Ability
What value should come in place of question (?) mark in following number series.
163, 150, 134, 112, 81, ?
The second differences increase by 3 each step. Next second difference is 9 + 3 = 12.
Next first difference = 31 + 12 = 43.
Required number = 81 - 43 = 38.
44Numerical Ability
What value should come in place of question (?) mark in following number series.
6, 5, 8, 21, ?, 395
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Answer: (D) 80
Explanation
The pattern follows T(n) = T(n-1) × n - n:
6 × 1 - 1 = 5
5 × 2 - 2 = 8
8 × 3 - 3 = 21
21 × 4 - 4 = 80
80 × 5 - 5 = 395
The missing number is 80.
45Numerical Ability
What value should come in place of question (?) mark in following number series.
11, 28, 47, 70, ? , 130
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Answer: (B) 99
Explanation
The differences between consecutive terms are:
28 - 11 = 17
47 - 28 = 19
70 - 47 = 23
The differences 17, 19, 23 are consecutive prime numbers.
The next prime number is 29.
Required number = 70 + 29 = 99.
Verification: 99 + 31 = 130, where 31 is the next prime number.
46Numerical Ability
The table give below shows total number of three different items (Laptops, Mobiles and Cameras) sold by shopkeeper 'P' in three different months (January, February and March). Read the table carefully and answer the question.
Months | Laptops | Mobiles | Cameras
January | 160 | 156 | 128
February | 100 | 120 | 124
March | 132 | 144 | 180
Total camera sold in January and laptops sold in March together is approximately what percent of total mobile sold in January and March together.
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Answer: (D) 87%
Explanation
Total cameras sold in January = 128
Total laptops sold in March = 132
Sum = 128 + 132 = 260
Total mobiles sold in January = 156
Total mobiles sold in March = 144
Sum = 156 + 144 = 300
The table give below shows total number of three different items (Laptops, Mobiles and Cameras) sold by shopkeeper 'P' in three different months (January, February and March). Read the table carefully and answer the question.
Months | Laptops | Mobiles | Cameras
January | 160 | 156 | 128
February | 100 | 120 | 124
March | 132 | 144 | 180
If total laptops sold by R in February is 40% more than that of P and total mobiles sold by R in same month is 25% more than that of by P, then find total number of laptops and mobiles sold by R in February.
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Answer: (B) 290
Explanation
Laptops sold by P in February = 100
Laptops sold by R in February = 100 × 1.40 = 140
Mobiles sold by P in February = 120
Mobiles sold by R in February = 120 × 1.25 = 150
Total laptops and mobiles sold by R in February = 140 + 150 = 290.
48Numerical Ability
The table give below shows total number of three different items (Laptops, Mobiles and Cameras) sold by shopkeeper 'P' in three different months (January, February and March). Read the table carefully and answer the question.
Months | Laptops | Mobiles | Cameras
January | 160 | 156 | 128
February | 100 | 120 | 124
March | 132 | 144 | 180
Find the difference between all three items sold in March and total camera sold in January | February together.
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Answer: (E) 204
Explanation
Total items sold in March = 132 + 144 + 180 = 456
Total cameras sold in January and February = 128 + 124 = 252
Required difference = 456 - 252 = 204.
49Numerical Ability
The table give below shows total number of three different items (Laptops, Mobiles and Cameras) sold by shopkeeper 'P' in three different months (January, February and March). Read the table carefully and answer the question.
Months | Laptops | Mobiles | Cameras
January | 160 | 156 | 128
February | 100 | 120 | 124
March | 132 | 144 | 180
Find the ratio of total mobile sold in March to total mobile sold in February and total laptops sold in January together.
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Answer: (A) 18 : 35
Explanation
Mobiles sold in March = 144
Mobiles sold in February + Laptops sold in January = 120 + 160 = 280
Required ratio = 144 : 280
Dividing both terms by 8 gives 18 : 35.
50Numerical Ability
The table give below shows total number of three different items (Laptops, Mobiles and Cameras) sold by shopkeeper 'P' in three different months (January, February and March). Read the table carefully and answer the question.
Months | Laptops | Mobiles | Cameras
January | 160 | 156 | 128
February | 100 | 120 | 124
March | 132 | 144 | 180
Find the sum of total number of laptop and camera sold in month of February.
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Answer: (C) 224
Explanation
Laptops sold in February = 100
Cameras sold in February = 124
Sum = 100 + 124 = 224.
51Numerical Ability
A and B together can do ⁸⁄₁₅ of a work in 5 days and B alone can do the remaining work in 7 days. Find in how many days A alone can do the work?
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Answer: (B) 25
Explanation
Combined daily work rate of A and B = (8/15) / 5 = 8/75.
Remaining work = 1 - 8/15 = 7/15.
Daily work rate of B alone = (7/15) / 7 = 1/15.
Daily work rate of A alone = 8/75 - 1/15 = 3/75 = 1/25.
Time taken by A alone to complete the total work = 25 days.
52Numerical Ability
A, B and C entered into a partnership business with investment of Rs. 4800, Rs. 2000 and Rs. 2800 respectively. At the end of a year, the profit of B is Rs. 3500, then find the difference between profit share of A and C.
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Answer: (C) 3500 Rs.
Explanation
Ratio of investments of A, B, and C = 4800 : 2000 : 2800 = 12 : 5 : 7.
Since time periods are equal, the profit ratio equals the investment ratio.
Share of B = 5 units = ₹3500, which gives 1 unit = ₹700.
Difference between profit shares of A and C = 12 - 7 = 5 units = ₹3500.
53Numerical Ability
A man invested Rs. 4000 on simple interest at certain rate of interest for some years. If rate of interest is two times of the time for man invested and he received Rs. 2880 as interest, then find the rate of interest.
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Answer: (E) 12%
Explanation
Simple interest formula: SI = (P × R × T) / 100.
Given P = ₹4000, SI = ₹2880, and T = R / 2.
2880 = (4000 × R × (R / 2)) / 100
2880 = 20 × R²
R² = 144
R = 12%
54Numerical Ability
90 liters mixture contains juice and water in the ratio of 5 : 4 respectively. If 36 liters mixture taken out and same quantity of water added in the remaining mixture, then find ratio of initial quantity of water to quantity of water in resulting mixture.
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Answer: (C) 2 : 3
Explanation
Initial water in mixture = 90 × (4 / 9) = 40 liters.
Water removed in 36 liters of mixture = 36 × (4 / 9) = 16 liters.
Water remaining before addition = 40 - 16 = 24 liters.
Water in final mixture after adding 36 liters of water = 24 + 36 = 60 liters.
Ratio of initial water to final water = 40 : 60 = 2 : 3.
55Numerical Ability
The total cost price of 8 pens and 12 bottles together is Rs. 440. Find at what price 10 pens and 15 bottles should be sell to receive a profit of 20%.
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Answer: (D) 660 Rs.
Explanation
Cost price of 8 pens and 12 bottles = ₹440.
Multiplying by 5/4, the cost price of 10 pens and 15 bottles = 440 × (5 / 4) = ₹550.
Selling price required for a 20% profit = 550 × 1.20 = ₹660.
56Numerical Ability
The radius of a circle is 7 cm and the perimeter of a square having side of (x+5) cm is ⁹⁄₁₁ of the circumference of the circle. Find the area of another square whose side is x cm.
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Answer: (B) 16 cm²
Explanation
Circumference of the circle = 2 × (22 / 7) × 7 = 44 cm.
Perimeter of the square = (9 / 11) × 44 = 36 cm.
4 × (x + 5) = 36
x + 5 = 9
x = 4 cm
Area of square with side x cm = 4² = 16 cm².
57Numerical Ability
A bike running at speed of 42 km/hr for 8 hours and with a speed of 32 km/hr for two hours. Find average speed of the bike.
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Answer: (C) 40 km/hr
Explanation
Distance covered in first part = 42 × 8 = 336 km.
Distance covered in second part = 32 × 2 = 64 km.
Total distance = 336 + 64 = 400 km.
Total time = 8 + 2 = 10 hours.
Average speed = Total distance / Total time = 400 / 10 = 40 km/hr.
58Numerical Ability
Average of present age of A, B and C is 15 years. If sum of present age of A and C is 27 years, then find the present age of B.
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Answer: (D) 18 years
Explanation
Sum of present ages of A, B, and C = 15 × 3 = 45 years.
Sum of present ages of A and C = 27 years.
Present age of B = 45 - 27 = 18 years.
59Numerical Ability
Out of 68 people some are athlete, singer and cricketer. The ratio of athlete to cricketer is 2 : 9. If number of singer are eight more than the number of cricketer, then find the number of cricketer.
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Answer: (C) 27
Explanation
Let the number of athletes = 2x and cricketers = 9x.
Number of singers = 9x + 8.
Total people = 2x + 9x + (9x + 8) = 68
20x + 8 = 68
20x = 60
x = 3
Number of cricketers = 9 × 3 = 27.
60Numerical Ability
A train is running at speed of 45 km/hr crosses a bridge in 36 seconds. If the ratio of length of train to the bridge is 1:3, then find the length (in meters) of the bridge.
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Answer: (D) 337.5
Explanation
Speed of train = 45 × (5 / 18) = 12.5 m/s.
Total distance (train length + bridge length) = 12.5 × 36 = 450 meters.
Given train length to bridge length ratio = 1 : 3.
Length of bridge = 450 × (3 / 4) = 337.5 meters.
61Numerical Ability
For post A, total people applied are 50% more than total people applied for post B. Number of girls applied for both posts are same. If for post A, 70% boys applied, then find the percentage of girls applied for post B.
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Answer: (D) 45%
Explanation
Let the total number of applicants for post B be 100. Then applicants for post A = 150. Since 70% of post A applicants are boys, 30% are girls, giving 30% × 150 = 45 girls for post A. Since the number of girls is equal for both posts, post B also has 45 girls. Thus, the percentage of girls applying for post B is (45 / 100) × 100 = 45%.
62Numerical Ability
The ratio of speed of stream to speed of boat in still water is 2 : 5.The boat covers 70 km in 5 hours in downstream. If boat take 'T' hours to cover 30 km in upstream, then find 'T'?
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Answer: (D) 5
Explanation
Let the speed of the stream be 2x km/h and the speed of the boat in still water be 5x km/h. Downstream speed = 5x + 2x = 7x km/h. Given downstream speed = 70 km / 5 h = 14 km/h, 7x = 14 gives x = 2. Upstream speed = 5x - 2x = 3x = 6 km/h. The time T required to cover 30 km upstream is 30 / 6 = 5 hours.
63Numerical Ability
What will come in the place of questions (?) mark in following questions.
√(324) ÷ ⁶⁄₁₉ ÷ 57 = ?
Substitute these values into the original equation:
(8 ÷ 200) × ? = 216 ÷ 100
Simplify the division terms on both sides:
8 ÷ 200 = 8 / 200 = 1 / 25
216 ÷ 100 = 2.16 = 216 / 100
Express the equation in terms of ?:
(1 / 25) × ? = 216 / 100
Multiply both sides by 25 to isolate the unknown variable:
? = (216 / 100) × 25
? = 216 / 4 = 54
74Numerical Ability
What will come in the place of questions (?) mark in following questions.
31.5÷ 3.5× 12 - 8 = ?
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Answer: (D) 100
Explanation
To simplify the expression 31.5 ÷ 3.5 × 12 - 8 = ?, follow the BODMAS rule for operator precedence by completing division, multiplication, and subtraction sequentially from left to right.