What should come in place of the question mark (?) in the given series?
22, 24, 28, 30, 34, ?
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Answer: (C) 36
Explanation
The given number series follows an alternating addition pattern where 2 and 4 are added to consecutive terms:
22 + 2 = 24
24 + 4 = 28
28 + 2 = 30
30 + 4 = 34
Following this alternating sequence of differences (+2, +4, +2, +4), the next operation must be to add 2 to the last term:
34 + 2 = 36
52General Intelligence & Reasoning
What will come in the place of the question mark (?) in the following equation, if "+" and "x" are interchanged and "-" and "÷" are interchanged?
35× 96 - 8 + 3 ÷ 11 = ?
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Answer: (A) 60
Explanation
By interchanging the operators according to the given conditions where + and × are interchanged, and - and ÷ are interchanged, the expression 35 × 96 - 8 + 3 ÷ 11 is rewritten as:
35 + 96 ÷ 8 × 3 - 11
Following the BODMAS rule:
First, perform the division operation:
96 ÷ 8 = 12
Now substitute this back into the expression:
35 + 12 × 3 - 11
Next, perform the multiplication operation:
12 × 3 = 36
Substitute this back into the expression:
35 + 36 - 11
Finally, perform addition and subtraction:
71 - 11 = 60
53General Intelligence & Reasoning
In a certain code language, 'M | N' means 'M is the wife of N', 'M @ N' means 'M is the brother of N', 'M $ N' means 'M is the father of N', 'M # N' means 'M is the son of N'. Based on the above, how is T related to G if 'T @ S # M | N $ G'?
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Answer: (C) Brother
Explanation
The given expression is decoded step-by-step as follows:
T @ S means T is the brother of S, which indicates T is male.
S # M means S is the son of M. Combined with the first relation, this implies both T and S are the sons of M.
M N means M is the wife of N, which makes N the husband of M and the father of T and S.
N G means N is the father of G.
Since N is the father of both T and G, and T is male, T is the brother of G.
54General Intelligence & Reasoning
The position of how many letters will remain unchanged if each of the letters in the word SOUNDBAR is arranged in alphabetical order?
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Answer: (C) One
Explanation
To find the number of letters whose positions remain unchanged, we compare the original word with its letters arranged in alphabetical order.
Original Word:
S O U N D B A R
Sorted Word:
A B D N O R S U
Comparing the letters at each position from left to right:
First position: S and A (changed)
Second position: O and B (changed)
Third position: U and D (changed)
Fourth position: N and N (unchanged)
Fifth position: D and O (changed)
Sixth position: B and R (changed)
Seventh position: A and S (changed)
Eighth position: R and U (changed)
Only the letter N remains in the same position (fourth position) after rearranging. Thus, the position of only one letter remains unchanged.
55General Intelligence & Reasoning
Select the word-pair that best represents a similar relationship to the one expressed in the given pair of words.
(The words must be considered as meaningful words and must not be related to each other based on the number of letters/consonants/vowels in the word.)
Palate : Mouth
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Answer: (D) Roof : Room
Explanation
The relationship in the given pair is that of a top boundary or upper inner surface to its corresponding enclosed space. The palate is the roof or upper surface of the mouth cavity. Similarly, a roof is the top covering or upper boundary of a room.
56General Intelligence & Reasoning
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All rings are bangles.
Some bangles are anklets.
No anklet is a pendant.
Conclusions:
(I) All rings being anklets is a possibility.
(II) All bangles can never be pendants.
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Answer: (D) Both conclusions I and II follow
Explanation
For Conclusion I, the statements only restrict the relationship between anklets and pendants. There is no direct or indirect restriction established between rings and anklets. Therefore, a scenario can exist where the set of rings is entirely contained within the set of anklets, meaning all rings being anklets is a valid possibility.
For Conclusion II, we are given that some bangles are anklets, which means there is a guaranteed overlap between the set of bangles and the set of anklets. Since no anklet can be a pendant, the portion of bangles that overlaps with anklets can never be pendants. Consequently, it is impossible for all bangles to be pendants, which means all bangles can never be pendants.
57General Intelligence & Reasoning
Based on the alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster does not belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)
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Answer: (A) EGJ
Explanation
The numerical positions of letters in the alphabetical order are used to determine the pattern. For three of the letter-clusters, the difference between the positions of consecutive letters is +2 and +4 respectively.
Specifically, in PRV, the positions are P(16), R(18), and V(22) with differences 18 - 16 = 2 and 22 - 18 = 4. In GIM, the positions are G(7), I(9), and M(13) with differences 9 - 7 = 2 and 13 - 9 = 4. In HJN, the positions are H(8), J(10), and N(14) with differences 10 - 8 = 2 and 14 - 10 = 4.
The letter-cluster EGJ does not follow this pattern, as the positions are E(5), G(7), and J(10) with differences of 7 - 5 = 2 and 10 - 7 = 3.
58General Intelligence & Reasoning
If 'A' stands for '÷', 'B' stands for '×', 'C' stands for '+' and 'D' stands for '-', what will come in place of the question mark (?) in the following equation?
32 B 4 D 116 A 2 C 13 = ?
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Answer: (A) 83
Explanation
By substituting the mathematical operators where A represents division (÷), B represents multiplication (×), C represents addition (+), and D represents subtraction (-), the equation is written as:
32 × 4 - 116 ÷ 2 + 13
Applying the BODMAS rule, division is performed first:
116 ÷ 2 = 58
This simplifies the expression to:
32 × 4 - 58 + 13
529 is related to 23 following a certain logic. Following the same logic, 324 is related to 18. To which of the following is 625 related following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/deleting/multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
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Answer: (C) 25
Explanation
The given relation follows the mathematical logic where the first number in each pair is the square of the second number. This can be represented by the formula:
x = y²
where x is the first number and y is the second number.
For the first pair:
529 = 23²
For the second pair:
324 = 18²
Following this same logical relation for the third pair where x = 625:
y = √625
y = 25
60General Intelligence & Reasoning
In a certain code language, 'I missed breakfast' is written as 'nl zn kq' and 'train is missed' is written as 'zm kg nl'. How is 'missed' written in the given language?
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Answer: (C) nl
Explanation
To find the code for the word 'missed', compare the two given statements and their corresponding codes.
In the sentence 'I missed breakfast' which is coded as 'nl zn kq', and the sentence 'train is missed' which is coded as 'zm kg nl', the only common word is 'missed'.
Comparing the two sets of codes, the only common code present in both is 'nl'. Therefore, the code for 'missed' is 'nl'.
61General Intelligence & Reasoning
Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/deleting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(5, 25, 50)
(8, 64, 128)
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Answer: (A) (12, 144, 288)
Explanation
The pattern followed by the numbers in each set is (x, x², 2x²).
For the first set (5, 25, 50):
First number = 5
Second number = 5² = 25
Third number = 25 × 2 = 50
For the second set (8, 64, 128):
First number = 8
Second number = 8² = 64
Third number = 64 × 2 = 128
Following the same logic for the set (12, 144, 288):
First number = 12
Second number = 12² = 144
Third number = 144 × 2 = 288
62General Intelligence & Reasoning
In a certain code language, 'MOAT' is coded as '8652' and 'TRAM' is coded as '4256'. What is the code for 'R' in the given code language?
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Answer: (C) 4
Explanation
By comparing the two coded words, we can identify the common letters and their corresponding digits.
The word MOAT contains the letters M, O, A, and T, and is coded as 8652.
The word TRAM contains the letters T, R, A, and M, and is coded as 4256.
The letters M, A, and T are present in both words. The digits common to both codes 8652 and 4256 are 6, 5, and 2. This means the letters M, A, and T correspond to the digits 6, 5, and 2 in some order.
The only remaining letter in TRAM is R, and the only remaining digit in its code 4256 is 4. Therefore, the code for R is 4.
63General Intelligence & Reasoning
What should come in place of the question mark (?) in the given series?
13, 22, 33, 46, ?, 78, 97
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Answer: (B) 61
Explanation
The series is formed by adding successive odd numbers starting from 9 to each term.
22 - 13 = 9
33 - 22 = 11
46 - 33 = 13
Following this pattern, the next difference must be 15. Adding 15 to the current term yields:
46 + 15 = 61
We can verify this with the subsequent terms in the series:
61 + 17 = 78
78 + 19 = 97
64General Intelligence & Reasoning
Select the word-pair that best represents a similar relationship to the one expressed in the pair of words given below. (The words must be considered as meaningful words and must not be related to each other based on the number of letters/consonants/vowels in the word.)
India : Mango
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Answer: (D) New Zealand : Kiwi
Explanation
The relationship established in the given word-pair is between a country and its national fruit. The mango is officially recognized as the national fruit of India. Similarly, the kiwi is the national fruit of New Zealand, perfectly representing the same relationship.
65General Intelligence & Reasoning
In a certain code language, 'messages are encrypted' is written as 'tg gc mz' and 'are you coming' is written as 'ze fp mz'. How is 'are' written in the given language?
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Answer: (C) mz
Explanation
Comparing the two given sentences:
In messages are encrypted which is written as tg gc mz, and are you coming which is written as ze fp mz, the only word common to both statements is are.
Similarly, the only code common to both coded expressions is mz. Therefore, the code for are is mz.
66General Intelligence & Reasoning
In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusion(s) logically follows/follow from the statements.
Statements:
All rings are earrings.
Some rings are chains.
All chains are bangles.
Conclusions:
I. Some rings are bangles.
II. Some earrings are bangles.
III. Some chains are earrings.
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Answer: (D) All conclusions I, II and III follow.
Explanation
Since all rings are earrings, and some rings are chains, it logically follows that those rings which are chains must also be earrings. Therefore, some chains are earrings, which makes conclusion III correct.
Since some rings are chains, and all chains are bangles, the rings that are chains must also be bangles. Therefore, some rings are bangles, which makes conclusion I correct.
Since some rings are bangles, and all rings are earrings, those rings that are bangles must also be earrings. Therefore, some earrings are bangles, which makes conclusion II correct.
Thus, all three conclusions I, II and III logically follow from the given statements.
67General Intelligence & Reasoning
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
(21, 34, 76)
(39, 26, 104)
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Answer: (A) (28, 23, 79)
Explanation
Let the three numbers in each set be represented as (x, y, z). The relationship between the numbers in each set follows the pattern:
2x + y = z
Applying this pattern to the first given set (21, 34, 76):
2 × 21 + 34 = 42 + 34 = 76
Applying this pattern to the second given set (39, 26, 104):
2 × 39 + 26 = 78 + 26 = 104
Now, applying this logic to the set (28, 23, 79):
2 × 28 + 23 = 56 + 23 = 79
68General Intelligence & Reasoning
Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
KJ_HIJKI_JM_EJ_K
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Answer: (D) IGIJO
Explanation
The series can be divided into four groups of four letters each:
Group 1: K J _ H
Group 2: I J K _
Group 3: _ J M _
Group 4: E J _ K
Let us analyze the position-wise pattern across all four groups:
The second letter in every group is constant: J, J, J, J.
The third letter in each group increases by two positions in alphabetical order:
Group 1 third letter: I
Group 2 third letter: K
Group 3 third letter: M
Group 4 third letter: O
This gives us the first letter of our blank combination as I (filling the third position of Group 1) and the last letter of our blank combination as O (filling the third position of Group 4).
Among the options, only IGIJO starts with I and ends with O, making it the correct combination.
69General Intelligence & Reasoning
If 15 December 2006 is a Friday, then what will the day of the week on 13 October 2009?
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Answer: (D) Tuesday
Explanation
To find the day of the week on 13 October 2009 starting from 15 December 2006:
First, calculate the day of the week on 15 December 2009.
From 15 December 2006 to 15 December 2009, the number of years is 3.
Among these, 2008 is a leap year (containing 29 February), while 2007 and 2009 are ordinary years.
An ordinary year contributes 1 odd day and a leap year contributes 2 odd days.
Total odd days = 1 (for 2007) + 2 (for 2008) + 1 (for 2009) = 4 odd days.
Adding 4 days to Friday (15 December 2006) gives Tuesday.
Thus, 15 December 2009 is a Tuesday.
Next, calculate the number of days between 13 October 2009 and 15 December 2009.
Number of days in October after the 13th = 31 - 13 = 18 days
Number of days in November = 30 days
Number of days in December up to the 15th = 15 days
Total days = 18 + 30 + 15 = 63 days.
Dividing 63 by 7 gives a remainder of 0 odd days (63 ÷ 7 = 9 weeks and 0 days).
Since there are 0 odd days, 13 October 2009 falls on the exact same day of the week as 15 December 2009, which is Tuesday.
70General Intelligence & Reasoning
If 23 January 2002 was Wednesday, then what was the day of the week on 26 January 2007?
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Answer: (C) Friday
Explanation
To find the day of the week on 26 January 2007, we calculate the number of odd days between 23 January 2002 and 26 January 2007.
The number of years between 23 January 2002 and 23 January 2007 is 5 years. Within this period, 2004 is a leap year, while 2002, 2003, 2005, and 2006 are ordinary years.
Since an ordinary year has 1 odd day and a leap year has 2 odd days, the odd days from the years are calculated as:
(4 × 1) + (1 × 2) = 6 odd days
The number of days between 23 January 2007 and 26 January 2007 is 3 days.
The total number of odd days is 6 + 3 = 9 days. Dividing 9 by 7 leaves a remainder of 2 odd days.
Adding 2 days to Wednesday gives Friday.
71General Intelligence & Reasoning
If 'A' stands for '÷', 'B' stands for '×', 'C' stands for '+' and 'D' stands for '-', what will come in place of the question mark (?) in the following equation?
16 B 8 D 51 A 3 C 57 = ?
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Answer: (A) 168
Explanation
By decoding the letter symbols to their respective mathematical operators:
A represents ÷
B represents ×
C represents +
D represents -
Substituting these operators into the given equation:
16 B 8 D 51 A 3 C 57
We get the expression:
16 × 8 - 51 ÷ 3 + 57
Applying the BODMAS rule, we first perform the division:
51 ÷ 3 = 17
Next, we perform the multiplication:
16 × 8 = 128
Substituting these results back into the expression:
128 - 17 + 57
Performing the remaining addition and subtraction from left to right:
128 - 17 + 57 = 111 + 57 = 168
72General Intelligence & Reasoning
Three of the following four are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)
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Answer: (B) KMP
Explanation
The standard alphabetical positions of the letters in the clusters RUX, NQT, and BEH have a constant difference of +3 between successive letters. For example, R (18) to U (21) to X (24) is +3 and +3; N (14) to Q (17) to T (20) is +3 and +3; B (2) to E (5) to H (8) is +3 and +3. In contrast, the letter cluster KMP has alphabetical positions K (11), M (13), and P (16), which have differences of +2 and +3, making it the odd one out.
73General Intelligence & Reasoning
In a certain code language, 'hands are dirty' is written as 'ca bx vp' and 'dirty things flies' is written as 'by vp cb'. How is 'dirty' written in the given language?
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Answer: (A) VP
Explanation
To find the code for the word dirty, we compare the two given statements and their corresponding codes:
First statement: hands are dirty is coded as ca bx vp
Second statement: dirty things flies is coded as by vp cb
The only word common to both statements is dirty, and the only code common to both coded statements is vp. Therefore, the word dirty is represented by the code vp.
74General Intelligence & Reasoning
11 is related to 121 by certain logic. Following the same logic, 21 is related to 441. To which of the following is 31 related, following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
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Answer: (B) 961
Explanation
The relationship between the given numbers is based on the squaring formula:
y = x²
For the first pair:
11² = 121
For the second pair:
21² = 441
Applying the same mathematical logic to 31:
31² = 961
75General Intelligence & Reasoning
If 26 November 2013 was Tuesday, then what was the day of the week on 29 November 2018?
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Answer: (D) Thursday
Explanation
To find the day of the week on 29 November 2018 from 26 November 2013:
First, calculate the number of odd days between 26 November 2013 and 26 November 2018.
Number of years = 2018 - 2013 = 5 years.
Within this period, the year 2016 is a leap year, which contains 2 odd days, while the other 4 years are ordinary years containing 1 odd day each.
Total odd days = (4 × 1) + (1 × 2) = 6 odd days.
Adding 6 odd days to Tuesday (26 November 2013) gives Monday. Therefore, 26 November 2018 was Monday.
To find the day on 29 November 2018, add the remaining 3 days (29 - 26 = 3) to Monday:
Monday + 3 days = Thursday.
76General Intelligence & Reasoning
What should come in place of the question mark (?) in the given series based on the English alphabetical order?
MKH, PNK, SQN, VTQ, ?
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Answer: (D) YWT
Explanation
Each letter in the consecutive terms of the series increases by a step of +3 in the English alphabetical order.
For the first letter of each group:
M (13) + 3 = P (16)
P (16) + 3 = S (19)
S (19) + 3 = V (22)
V (22) + 3 = Y (25)
For the second letter of each group:
K (11) + 3 = N (14)
N (14) + 3 = Q (17)
Q (17) + 3 = T (20)
T (20) + 3 = W (23)
For the third letter of each group:
H (8) + 3 = K (11)
K (11) + 3 = N (14)
N (14) + 3 = Q (17)
Q (17) + 3 = T (20)
Combining these letters, the next term in the series is YWT.
77General Intelligence & Reasoning
Three statements are followed by conclusions numbered I, II. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follows from the given statement.
Statements:
All space is wind.
Some wind is earth.
Some fire is earth.
Conclusion (I): All earth is space.
Conclusion (II): Some wind is fire.
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Answer: (D) Neither conclusion (I) nor (II) follows.
Explanation
To determine which conclusions follow, we analyze the logical relationships established by the statements.
For Conclusion I, we are given that all space is wind and some wind is earth. This does not provide any definite relationship between earth and space, meaning we cannot conclude that all earth is space.
For Conclusion II, the statements show that some wind is earth and some fire is earth. Because wind and fire both connect to earth independently, there is no necessary intersection between wind and fire, so we cannot conclude that some wind is fire.
78General Intelligence & Reasoning
In a certain code language
A + B means 'A is the mother of B'
A - B means 'A is the sister of B'
A x B means 'A is the wife of B'
A + B means 'A is the son of B'
Based on the above, how is Z related to W if 'Z x Y + X - V + W'?
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Answer: (C) Mother's sister's son's wife
Explanation
To find how Z is related to W from the expression Z × Y + X - V + W, we decode the relationships step-by-step from right to left, using the given definitions:
V + W means V is the mother of W.
X - V means X is the sister of V. Since V is the mother of W, X is the sister of W's mother.
Y + X means Y is the son of X. Since X is the sister of W's mother, Y is the son of W's mother's sister.
Z × Y means Z is the wife of Y. Since Y is the son of W's mother's sister, Z is the wife of W's mother's sister's son.
Thus, Z is W's mother's sister's son's wife.
79General Intelligence & Reasoning
AQLZ is related to SIDR in a certain way based on the English alphabetical order. In the same way, CPDV is related to UHVN. To which of the following is EBRY related, following the same logic?
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Answer: (A) WTJQ
Explanation
Each letter in the first term is shifted backward by 8 positions in the English alphabetical order, wrapping around the alphabet from Z to A where necessary, to obtain the corresponding letter in the second term.
Applying this pattern to the first pair AQLZ to SIDR:
A (1) - 8 = -7 ≡ 19 (S)
Q (17) - 8 = 9 (I)
L (12) - 8 = 4 (D)
Z (26) - 8 = 18 (R)
Applying this pattern to the second pair CPDV to UHVN:
C (3) - 8 = -5 ≡ 21 (U)
P (16) - 8 = 8 (H)
D (4) - 8 = -4 ≡ 22 (V)
V (22) - 8 = 14 (N)
Using the same logic for EBRY:
E (5) - 8 = -3 ≡ 23 (W)
B (2) - 8 = -6 ≡ 20 (T)
R (18) - 8 = 10 (J)
Y (25) - 8 = 17 (Q)
This gives the sequence WTJQ.
80General Intelligence & Reasoning
Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g., 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(3, 12, 26)
(7, 9, 53)
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Answer: (C) (7, 5, 25)
Explanation
The relationship among the numbers in the given sets is defined by the formula where the third number is obtained by subtracting 10 from the product of the first two numbers:
Third number = (First number × Second number) - 10
Applying this relationship to the given sets:
(3, 12, 26) follows 3 × 12 - 10 = 36 - 10 = 26
(7, 9, 53) follows 7 × 9 - 10 = 63 - 10 = 53
For the set (7, 5, 25):
7 × 5 - 10 = 35 - 10 = 25
81General Intelligence & Reasoning
What should come in place of the question mark (?) in the given series?
77, 79, 83, 89, 97, ?
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Answer: (A) 107
Explanation
The given series follows a pattern where the difference between consecutive terms increases by 2.
The differences between the consecutive numbers are:
79 - 77 = 2
83 - 79 = 4
89 - 83 = 6
97 - 89 = 8
Following this pattern of consecutive even integers, the next difference must be 10.
The next term in the series is calculated by adding 10 to the last term:
97 + 10 = 107
82General Intelligence & Reasoning
Select the pair which follows the same pattern as that followed by the two set of pairs given below. Both pairs follow the same pattern.
FJK:KOP
MQR:RVW
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Answer: (B) JMP:ORU
Explanation
The letters of the second word in each pair are obtained by shifting each corresponding letter of the first word forward by 5 positions in the alphabetical order.
For the first pair, FJK : KOP:
F + 5 = K (6 + 5 = 11)
J + 5 = O (10 + 5 = 15)
K + 5 = P (11 + 5 = 16)
For the second pair, MQR : RVW:
M + 5 = R (13 + 5 = 18)
Q + 5 = V (17 + 5 = 22)
R + 5 = W (18 + 5 = 23)
Following this same pattern, the pair JMP : ORU is correct because:
J + 5 = O (10 + 5 = 15)
M + 5 = R (13 + 5 = 18)
P + 5 = U (16 + 5 = 21)
83General Intelligence & Reasoning
Select the word- pair that best represents a similar relationship to the one expressed in the pair of words given below. (The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Continue - Interrupt
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Answer: (B) Attic - Common
Explanation
The relationship between the words in the given pair, Continue and Interrupt, is that they are antonyms. Similarly, Attic and Common are antonyms. In literary and stylistic contexts, Attic refers to a style that is highly refined, elegant, classical, and pure, whereas Common refers to that which is vulgar, ordinary, or unrefined.
84General Intelligence & Reasoning
Which two numbers should be interchanged to make the given equation correct?
17× 7 + (21 + 3)× 5 - 28 + 34 = 72
(NOTE: Numbers must be interchanged and not the constituent digits e.g. if 2 and 3 are to be interchanged in the equation 43× 3 + 4÷ 2 , then interchanged equation is 43 × 2 + 4÷ 3 )
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Answer: (D) 7 and 3
Explanation
By replacing the plus sign inside the parentheses with a division sign, the equation is written as 17 × 7 + (21 ÷ 3) × 5 - 28 + 34 = 72.
Interchanging the numbers 7 and 3 in this equation gives:
17 × 3 + (21 ÷ 7) × 5 - 28 + 34
Applying the BODMAS rule:
First, solve the bracket:
21 ÷ 7 = 3
Following this pattern, the next difference must be 17.
The missing term is calculated by adding 17 to the last term:
116 + 17 = 133
87General Intelligence & Reasoning
If 'E' stands for '÷', 'U' stands for 'x', 'A' stands for '+' and 'C' stands for '-', what will come in place of the question mark (?) in the following equation? 16 A 24 C 30 E 15 U 9 = ?
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Answer: (C) 22
Explanation
Replacing the letters with their respective mathematical operators:
A stands for +
C stands for -
E stands for ÷
U stands for ×
Substitute these operators into the given equation:
16 + 24 - 30 ÷ 15 × 9
According to the BODMAS rule, perform division first:
30 ÷ 15 = 2
The equation becomes:
16 + 24 - 2 × 9
Select the word- pair that best represents a similar relationship to the one expressed in the pair of words given below.
(The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word)
Hand : Wrist
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Answer: (A) Foot : Ankle
Explanation
The relationship in the given pair is based on anatomy, where the wrist is the joint that directly connects the hand to the arm. Similarly, the ankle is the joint that directly connects the foot to the leg, representing the exact same anatomical relationship between a limb extremity and its adjacent joint.
89General Intelligence & Reasoning
What will come in the place of "?" in the following equation, if "+" and "÷" are interchanged and "×" and "-" are interchanged?
21 + 3 - 7 ÷ 11× 4 = ?
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Answer: (D) 56
Explanation
Replacing the symbols according to the rules where + and ÷ are interchanged, and × and - are interchanged:
Based on the alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster does not belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)
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Answer: (B) QNL
Explanation
The letter-cluster QNL has letter positions of Q = 17, N = 14, and L = 12. The difference between successive letters is -3 (17 to 14) and -2 (14 to 12). All other letter-clusters in the group follow a consistent pattern of decreasing by 3 at each step, representing a uniform difference of -3 and -3 between consecutive letters. This makes QNL the odd one out.
91General Intelligence & Reasoning
11 is related to 55 following a certain logic. Following the same logic, 22 is related to 110. To which of the following is 44 related following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/deleting/multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
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Answer: (B) 220
Explanation
The logic of the relationship is to multiply the first number by 5 to get the second number. This can be expressed by the formula:
Second number = First number × 5
Applying this rule to the given pairs:
11 × 5 = 55
22 × 5 = 110
Following the same logic for 44:
44 × 5 = 220
92General Intelligence & Reasoning
Which of the following numbers will replace the question mark (?) in the given series? 54 58.7 64.4 71.1 78.8 ?
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Answer: (B) 87.5
Explanation
The given series follows an addition pattern where the difference between consecutive terms increases by 1 each time.
The differences form an arithmetic sequence with a common difference of 1: 4.7, 5.7, 6.7, 7.7.
Following this pattern, the next difference in the sequence must be:
7.7 + 1.0 = 8.7
To find the missing term, we add this difference to the last known term:
78.8 + 8.7 = 87.5
93General Intelligence & Reasoning
'Q + R' means 'Q is the father of R' 'Q - R' means 'Q is the wife of R' 'Q x R' means 'Q is the brother of R' 'Q + R' means 'Q is the daughter of R'. What does 'M - N + O' mean?
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Answer: (A) M is the mother of O
Explanation
In the expression M - N + O, 'M - N' means M is the wife of N, which makes N the husband (male). 'N + O' means N is the father of O. Since M is married to N and N is the father of O, M must be the mother of O.
94General Intelligence & Reasoning
What should come in place of the question mark (?) in the given series?
162,167,172,177,182,?
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Answer: (B) 187
Explanation
Correct Answer: B
The given sequence is an arithmetic progression where each subsequent term is obtained by adding a constant difference to the preceding term.
The common difference (d) between consecutive terms is:
167 - 162 = 5
172 - 167 = 5
177 - 172 = 5
182 - 177 = 5
Since the common difference is consistently 5, the next term in the series is calculated by adding 5 to the last given term:
182 + 5 = 187
95General Intelligence & Reasoning
If 'W' stands for 'i', 'Y' stands for 'x', 'Z' stands for 'i' and 'A' stands for 'i', what will come in place of the question mark (?) in the following equation? 11 W 11 Y 11 Z 11 A 11 = ?
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Answer: (B) 11
Explanation
Due to a character rendering error in the question text, the mathematical operator symbols for division ÷, addition +, and subtraction - are represented as i, while the multiplication symbol × is represented as x.
The correct operator mappings are:
W stands for ÷
Y stands for ×
Z stands for +
A stands for -
Substituting these operators into the given expression:
11 W 11 Y 11 Z 11 A 11
= 11 ÷ 11 × 11 + 11 - 11
Applying the BODMAS rule:
First, perform the division:
11 ÷ 11 = 1
The expression becomes: 1 × 11 + 11 - 11
Next, perform the multiplication:
1 × 11 = 11
The expression becomes: 11 + 11 - 11
Next, perform the addition:
11 + 11 = 22
The expression becomes: 22 - 11
Finally, perform the subtraction:
22 - 11 = 11
96General Intelligence & Reasoning
The position of how many letters will remain unchanged if each of the letters in the word FLAMINGOES is arranged from left to right in alphabetical order?
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Answer: (D) Two
Explanation
To determine how many letters remain in the same position, we compare the original word with its letters arranged in alphabetical order.
Original Word:
F L A M I N G O E S
Alphabetical Order:
A E F G I L M N O S
Comparing the letters at each position:
1st: F and A (changed)
2nd: L and E (changed)
3rd: A and F (changed)
4th: M and G (changed)
5th: I and I (unchanged)
6th: N and L (changed)
7th: G and M (changed)
8th: O and N (changed)
9th: E and O (changed)
10th: S and S (unchanged)
The letters I at the 5th position and S at the 10th position remain unchanged. This gives a total of two letters.
97General Intelligence & Reasoning
In a certain code language, 'cold summers day' is written as 'kl bn ix' and 'day and night' is written as 'kj ed bn'. How is 'day' written in the given language?
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Answer: (C) bn
Explanation
By comparing the two coded sentences:
cold summers day is coded as kl bn ix
day and night is coded as kj ed bn
The only common word in both sentences is day, and the only common code in both coded representations is bn. Therefore, the code for day is bn.
98General Intelligence & Reasoning
What should come in place of ? in the given series based on the English alphabetical order?
GOW NIB UCG BWL ?
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Answer: (C) IQQ
Explanation
By converting the letters to their numerical positions in alphabetical order where A = 1 and Z = 26, the pattern for each letter position is as follows:
First letter: Add 7 to the position of the previous first letter.
G (7) + 7 = N (14)
N (14) + 7 = U (21)
U (21) + 7 = B (28, which is 2)
B (2) + 7 = I (9)
Second letter: Subtract 6 from the position of the previous second letter.
O (15) - 6 = I (9)
I (9) - 6 = C (3)
C (3) - 6 = W (23)
W (23) - 6 = Q (17)
Third letter: Add 5 to the position of the previous third letter.
W (23) + 5 = B (28, which is 2)
B (2) + 5 = G (7)
G (7) + 5 = L (12)
L (12) + 5 = Q (17)
Combining the resulting letters I, Q, and Q gives the next term in the series as IQQ.
99General Intelligence & Reasoning
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements: No pillow is a cushion. All cushions are sheets. No sheet is a blanket.
Conclusions: (I) No cushion is a blanket. (II) Some pillows are sheets.
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Answer: (A) Only conclusion I follows
Explanation
By Statement 2, all cushions are contained within the set of sheets. Statement 3 establishes that there is no overlap between the set of sheets and the set of blankets. Since the entire set of cushions lies inside the set of sheets, and sheets have no common elements with blankets, it is impossible for any cushion to be a blanket. This makes Conclusion I logically true. Statement 1 and Statement 2 allow the set of pillows and the set of sheets to be completely disjoint, meaning Conclusion II does not necessarily follow.
100General Intelligence & Reasoning
If 6 May 2005 is a Friday, then what will the day of the week on 25 September 2018?
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Answer: (B) Tuesday
Explanation
To find the day of the week on 25 September 2018 starting from 6 May 2005, the total number of odd days between the two dates is calculated.
First, calculate the odd days from 6 May 2005 to 6 May 2018:
Years difference = 2018 - 2005 = 13 years.
Number of leap years in this interval (2008, 2012, 2016) = 3.
Odd days from years = (years difference + leap years) mod 7 = (13 + 3) mod 7 = 16 mod 7 = 2 odd days.
Next, calculate the odd days from 6 May 2018 to 25 September 2018:
May: 25 days (31 - 6)
June: 30 days
July: 31 days
August: 31 days
September: 25 days
Total days = 25 + 30 + 31 + 31 + 25 = 142 days.
Odd days from days = 142 mod 7 = 2 odd days.
Total odd days = 2 + 2 = 4 odd days.
Adding 4 days to Friday: Friday + 4 days = Tuesday.