Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the one that is different.
(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.)
29:160 31:138 27:150 21:120
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Answer: (A) 31:138
Explanation
The relationship between the first and second number in three of the pairs follows the formula: second number = (first number + 3) × 5.
Applying this formula to the matching pairs:
For 29:160, (29 + 3) × 5 = 32 × 5 = 160.
For 27:150, (27 + 3) × 5 = 30 × 5 = 150.
For 21:120, (21 + 3) × 5 = 24 × 5 = 120.
Applying this formula to 31:138, (31 + 3) × 5 = 34 × 5 = 170, which is not equal to 138.
Thus, the pair 31:138 does not follow the pattern.
402General Intelligence & Reasoning
Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusions logically follow's from the given statements.
Statements: Some definitions are surgeons. All surgeons are therapists. No therapist is a physician.
Conclusion (I): Some therapists are dietitians.
Conclusion (II): No dietitian is a physician.
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Answer: (D) Neither conclusion I nor II follows.
Explanation
Correct Answer: D
The term dietitian is not mentioned in any of the given statements. In syllogisms, no logical relationship or conclusion can be established about a term that is completely absent from the premises. Because dietitians does not appear in the statements, neither Conclusion I nor Conclusion II can follow from the given premises.
403General Intelligence & Reasoning
In a certain code language, 'MUZJIK' is coded as 'UCHBQS' and 'BLOWZY' is coded as 'JTWEHG'. What is the code for 'SQUAWK' in the given code language?
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Answer: (D) AYCIES
Explanation
The coding pattern involves shifting each letter forward by 8 positions in the alphabetical order (mod 26).
Applying this pattern to the word BLOWZY:
B + 8 = J
L + 8 = T
O + 8 = W
W + 8 = E
Z + 8 = H
Y + 8 = G
Applying the same +8 shift to each letter of SQUAWK:
S (19) + 8 = 27 → A (1)
Q (17) + 8 = 25 → Y (25)
U (21) + 8 = 29 → C (3)
A (1) + 8 = 9 → I (9)
W (23) + 8 = 31 → E (5)
K (11) + 8 = 19 → S (19)
This yields the code AYCIES.
404General Intelligence & Reasoning
What should come in place of the question mark (?) in the given series?
283,308,344,?,457
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Answer: (C) 393
Explanation
The given series follows a pattern where the differences between consecutive terms are consecutive perfect squares starting from 5².
First difference: 308 - 283 = 25 = 5²
Second difference: 344 - 308 = 36 = 6²
Following this pattern, the next difference must be 7² = 49.
Adding 49 to the third term gives:
344 + 49 = 393
To verify, the next difference must be 8² = 64. Adding 64 to 393 gives:
393 + 64 = 457
This perfectly matches the final term of the series.
405General Intelligence & Reasoning
If 29 November 2009 is Sunday, then what will be the day of the week on 30 May 2010?
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Answer: (B) Sunday
Explanation
To find the day of the week on 30 May 2010 starting from 29 November 2009, we calculate the total number of days between these two dates.
Remaining days in November 2009 = 1 day (30 - 29)
December 2009 = 31 days
January 2010 = 31 days
February 2010 = 28 days (since 2010 is a non-leap year)
March 2010 = 31 days
April 2010 = 30 days
May 2010 = 30 days (up to 30 May)
Total days = 1 + 31 + 31 + 28 + 31 + 30 + 30 = 182 days
To find the number of odd days, we divide the total days by 7:
182 ÷ 7 = 26 weeks and 0 remaining days.
Since there are 0 odd days, the day of the week on 30 May 2010 will be identical to the day on 29 November 2009, which is Sunday.
406General Intelligence & Reasoning
The position of how many letters will remain unchanged if each of the letters in the word 'DEFORM' is arranged in alphabetical order?
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Answer: (C) Three
Explanation
Correct Answer: C
The original word is DEFORM.
When the letters of the word are arranged in alphabetical order, we get:
Original: D E F O R M
Arranged: D E F M O R
Comparing the original and the rearranged positions:
The first letter D remains in the 1st position.
The second letter E remains in the 2nd position.
The third letter F remains in the 3rd position.
The fourth, fifth, and sixth letters change their positions.
Therefore, the positions of exactly three letters (D, E, and F) remain unchanged.
407General Intelligence & Reasoning
In a certain code language,
A + B means 'A is the sister of B',
A - B means 'A is the brother of B',
A × B means 'A is the mother of B',
A ÷ B means 'A is the father of B'.
Based on the above, how is P related to S if 'P × Q - R ÷ S + T'?
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Answer: (A) Father's mother
Explanation
The given expression is P × Q - R ÷ S + T.
Decoding the relations from left to right:
P × Q indicates that P is the mother of Q.
Q - R indicates that Q is the brother of R. This means Q and R are siblings, which makes P the mother of R as well.
R ÷ S indicates that R is the father of S.
Since R is the father of S and P is the mother of R, P is the mother of S's father. Therefore, P is the father's mother of S.
408General Intelligence & Reasoning
Select the option that represents the letters that, when sequentially placed from left to right in the blanks below, will complete the letter series.
_op_no_n_pnmop_
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Answer: (C) mnpmon
Explanation
The given letter series consists of 16 letters, which can be divided into four groups of four letters each:
Group 1: _ o p _
Group 2: n o _ n
Group 3: _ p n m
Group 4: o p _ _
By substituting the letters from option C (m, n, p, m, o, n) sequentially into the blanks, we get:
1st blank = m
2nd blank = n
3rd blank = p
4th blank = m
5th blank = o
6th blank = n
This completes the series as:
m o p n | n o p n | m p n m | o p o n
409General Intelligence & Reasoning
In a certain code language,
A+B means'A is the mother of B' A-B means'A is the wife of B' AxB means'A is the son of B' A÷B means'A is the brother of B'
Based on the above, how is S related to L if ^′L× K + D - S÷ T^′ ?
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Answer: (B) Sister's husband
Explanation
The expression L × K + D - S ÷ T can be decoded step-by-step to find the relation between S and L:
L × K means L is the son of K.
K + D means K is the mother of D. This implies that L and D are siblings sharing K as their mother.
D - S means D is the wife of S. Since D is the wife of S, D is female, which makes her the sister of L, and S is her husband.
S ÷ T means S is the brother of T, which confirms S is male.
Therefore, S is the husband of L's sister D, making S the sister's husband of L.
410General Intelligence & Reasoning
Select the option in which the letter-clusters share the same relationship as that shared by the given pair of letter- clusters.
YQF:HOI
FSO:OQR
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Answer: (D) QML:ZKO
Explanation
The relationship between the letter-clusters is established by applying a specific mathematical operation to the alphabetical positions of the letters in each cluster.
Looking at the first pair, YQF:HOI:
The first letter Y (25) increases by 9 positions to become H (8), because 25 + 9 = 34, and 34 - 26 = 8.
The second letter Q (17) decreases by 2 positions to become O (15), since 17 - 2 = 15.
The third letter F (6) increases by 3 positions to become I (9), since 6 + 3 = 9.
The same pattern of +9, -2, and +3 is applied to the second pair, FSO:OQR:
F (6) + 9 = O (15)
S (19) - 2 = Q (17)
O (15) + 3 = R (18)
Applying this identical pattern to the letter-cluster QML:
Q (17) + 9 = Z (26)
M (13) - 2 = K (11)
L (12) + 3 = O (15)
This yields the cluster ZKO.
411General Intelligence & Reasoning
In a certain code language, EU324 is written as LN361 and HR529 is written as OK576. How will GS625 be written in that language?
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Answer: (D) NL676
Explanation
The coding pattern follows two distinct rules for the letters and the numbers.
For the letters, the first letter is shifted forward by 7 positions, while the second letter is shifted backward by 7 positions in alphabetical order. Applying this to GS:
First letter: G + 7 positions = N
Second letter: S - 7 positions = L
For the numbers, they are the squares of consecutive integers. The number in the code is the square of the integer that is one greater than the integer squared in the original term:
324 = 18², which increases to 19² = 361
529 = 23², which increases to 24² = 576
625 = 25², which increases to 26² = 676
Combining these patterns gives the code NL676.
412General Intelligence & Reasoning
If 'A' stands for '+', 'B' stands for 'x', 'C' stands for '-' and 'D' stands for '÷', what will come in place of the question mark (?) in the following equation?
124 A 4 C 13 B 12 D 28 = ?
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Answer: (D) 159
Explanation
Replacing the letter symbols with their respective mathematical operators in the expression 124 D 4 A 13 B 12 C 28:
124 ÷ 4 + 13 × 12 - 28
Applying the BODMAS rule:
First, perform the division:
124 ÷ 4 = 31
Next, perform the multiplication:
13 × 12 = 156
Substitute these values back into the expression:
31 + 156 - 28
Perform the addition:
31 + 156 = 187
Finally, perform the subtraction:
187 - 28 = 159
413General Intelligence & Reasoning
What will come in the place of the question mark (?) in the following equation if '+' and '-' are interchanged and 'x' and '÷' are interchanged?
84 x 7 - 21 ÷ 4 + 29 = ?
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Answer: (B) 67
Explanation
Applying the specified operator interchanges:
Replace × with ÷
Replace - with +
Replace ÷ with ×
Replace + with -
The original equation:
84 × 7 - 21 ÷ 4 + 29
After interchanging the operators, the equation becomes:
84 ÷ 7 + 21 × 4 - 29
Using the BODMAS rule:
First, perform the division:
84 ÷ 7 = 12
Next, perform the multiplication:
21 × 4 = 84
Now, perform the addition and subtraction in sequence:
12 + 84 - 29 = 96 - 29 = 67
414General 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: 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: (C) 94 - 11
Explanation
In the number pair 94 - 11, the first number is not equal to nine times the second number, since 11 × 9 = 99. In all other pairs, the first number is exactly nine times the second number.
415General Intelligence & Reasoning
Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
40:300
27:196
(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: (C) 200:1580
Explanation
The relationship between the first number (x) and the second number (y) in each given pair is defined by the formula:
y = 8x - 20
Applying this formula to the first pair:
8 × 40 - 20 = 320 - 20 = 300
Applying this formula to the second pair:
8 × 27 - 20 = 216 - 20 = 196
Applying the same formula to the numbers in the correct option:
8 × 200 - 20 = 1600 - 20 = 1580
416General Intelligence & Reasoning
Which of the following four options will replace the question mark (?) in the following series?
48, 68, ?, 138, 188, 208
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Answer: (B) 88
Explanation
The given series is 48, 68, ?, 138, 188, 208.
By analyzing the differences between consecutive terms, we find:
68 - 48 = 20
188 - 138 = 50
208 - 188 = 20
The sequence of differences follows a symmetric repeating pattern: 20, 20, 50, 50, 20.
Applying the first difference of 20 to the second term:
68 + 20 = 88
To verify, we apply the next difference of 50 to this term:
88 + 50 = 138
This perfectly matches the next term in the series. Therefore, the missing term is 88.
417General Intelligence & Reasoning
P is the son of C. C is married to D. D is the sister of O. O is the daughter of M. X is the mother of C and married to W. How is P related to W?
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Answer: (A) Son's son
Explanation
X is the mother of C and is married to W, which makes W the father of C. C is married to D. Since D is the sister of O, D is female, which means C is the husband and therefore male. Consequently, C is the son of W. Since P is the son of C, P is the son's son of W.
418General Intelligence & Reasoning
In a certain code language, 'FLASH' is coded as 'HNCUJ' and 'ENDOW' is coded as 'GPFQY'. What will be the code for 'DEBIT' in the given code language?
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Answer: (D) FGDKV
Explanation
The coding pattern involves shifting each letter in the word forward by two positions in the English alphabetical order.
For the word FLASH:
F + 2 = H
L + 2 = N
A + 2 = C
S + 2 = U
H + 2 = J
For the word ENDOW:
E + 2 = G
N + 2 = P
D + 2 = F
O + 2 = Q
W + 2 = Y
Applying the same pattern to the word DEBIT:
D + 2 = F
E + 2 = G
B + 2 = D
I + 2 = K
T + 2 = V
This yields the code FGDKV.
419General Intelligence & Reasoning
Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusions logically follow/s from the given statements.
Statements:
All movies are bottles.
Some bottles are steel.
All steel are cupboards.
Conclusions:
(I): Some movies are bottles.
(II): Some cupboards are steel.
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Answer: (D) Both conclusions (I) and (II) follow
Explanation
The first statement states that all movies are bottles. In syllogisms, a universal affirmative statement of the form All A are B logically implies the particular affirmative statement Some A are B. Therefore, the first conclusion that some movies are bottles is logically valid.
The third statement states that all steel are cupboards. A universal affirmative statement of the form All A are B can be converted to the particular affirmative statement Some B are A. Thus, if all steel are cupboards, it is directly implied that some cupboards are steel, making the second conclusion logically valid.
420General Intelligence & Reasoning
In a certain code language, C + F means 'C is the father of F', C - F means 'C is the sister of F', C @ F means 'C is the brother of F', C # F means 'C is the mother of F'. If A # K + J @ T, then how is J related to A?
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Answer: (D) Son's son
Explanation
The relation expression is A # K + J @ T.
From A # K, A is the mother of K.
From K + J, K is the father of J. Since A is K's mother, K is the son of A.
From J @ T, J is the brother of T, which means J is male.
Since K is the father of J, J is the son of K. Given that K is the son of A, J is the son's son of A.
421General Intelligence & Reasoning
What should come in place of ? in the given series?
3 6 11 18 27 ?
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Answer: (D) 38
Explanation
The given sequence follows the pattern of adding consecutive odd numbers to each term. The differences between successive terms are:
6 - 3 = 3
11 - 6 = 5
18 - 11 = 7
27 - 18 = 9
Following this pattern, the next difference must be the next odd number, which is 11. Adding 11 to the last term yields:
27 + 11 = 38
Alternatively, the nth term of the series is given by the formula n² + 2, where n starts from 1. For the sixth term where n = 6, the value is 6² + 2 = 36 + 2 = 38.
422General Intelligence & Reasoning
Four-letter clusters have been given, out of which three are alike in some manner and one is different. Select the one that is different.
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Answer: (B) OPRS
Explanation
The letter cluster OPRS is the odd one out because the alphabetical positions of its letters do not follow the constant addition pattern of +2, +4, and +2 seen in the other clusters. The letters O, P, R, and S have alphabetical positions of 15, 16, 18, and 19 respectively. The differences between consecutive letters in this cluster are +1, +2, and +1, which differs from the standard +2, +4, and +2 pattern followed by all other groups.
423General Intelligence & Reasoning
If 20 June of a particular year falls on the 6th day after Tuesday, then what will be the day on 11 August of the same year?
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Answer: (D) Thursday
Explanation
Tuesday plus 6 days corresponds to Monday, so 20 June of that year is a Monday.
To find the day on 11 August, we calculate the total number of days between 20 June and 11 August:
Remaining days in June = 30 - 20 = 10 days
Days in July = 31 days
Days in August = 11 days
Total days = 10 + 31 + 11 = 52 days
Dividing the total days by 7 to find the number of odd days:
52 = 7 × 7 + 3
Since there is a remainder of 3 odd days, we add 3 days to Monday, which results in Thursday.
424General Intelligence & Reasoning
BK 19 is related to DM 21 in a certain way. In the same way, RC 11 is related to TE 13. To which of the following is MJ 17 related following the same logic?
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Answer: (C) OL 19
Explanation
The relationship between the terms is based on a constant shift where each letter is moved forward by two positions in alphabetical order, and the number is increased by 2.
In the first pair, B + 2 = D, K + 2 = M, and 19 + 2 = 21, resulting in DM 21.
In the second pair, R + 2 = T, C + 2 = E, and 11 + 2 = 13, resulting in TE 13.
Applying this same pattern to MJ 17:
M + 2 = O
J + 2 = L
17 + 2 = 19
This gives OL 19.
425General 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: Some stars are buttons. No buttons are clips. All buttons are ribbons.
Conclusions:
(I) Some stars are ribbons.
(II) Some ribbons are buttons.
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Answer: (A) Both conclusions (I) and (II) follow
Explanation
The statement Some stars are buttons indicates an intersection between stars and buttons. Since All buttons are ribbons, the entire set of buttons is contained within the set of ribbons. Consequently, the part of stars that overlaps with buttons must also overlap with ribbons, which validates the conclusion Some stars are ribbons.
For the second conclusion, the statement All buttons are ribbons means that buttons form a subset of ribbons. This immediately implies that there is a mutual intersection between the two sets, which validates the converse conclusion Some ribbons are buttons.
426General Intelligence & Reasoning
Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
DPMW, EOLX, FNKY, ?
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Answer: (D) GMJZ
Explanation
The series follows a specific letter-shifting pattern for each position of the letter-cluster:
First letter: D → E → F → G (increases by +1)
Second letter: P → O → N → M (decreases by -1)
Third letter: M → L → K → J (decreases by -1)
Fourth letter: W → X → Y → Z (increases by +1)
Applying this pattern to the last cluster FNKY:
F + 1 = G
N - 1 = M
K - 1 = J
Y + 1 = Z
This gives the letter-cluster GMJZ.
427General Intelligence & Reasoning
Select the combination of letters which when sequentially placed in the blanks of the given series will complete the series.
TU_U_XWXT_TUWX_X
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Answer: (D) TWUW
Explanation
Correct Answer: D
The series can be divided into four groups of four letters each:
T U _ U | _ X W X | T _ T U | W X _ X
By substituting the letters from the correct option (T, W, U, W) into the blanks in sequential order, a repeating pattern of two alternating blocks (T U T U and W X W X) is formed:
T U T U | W X W X | T U T U | W X W X
Thus, the combination TWUW completes the series.
428General Intelligence & Reasoning
KQTO is related to MSVQ in a certain way based on the English alphabetical order. In the same way, PVYT is related to RXAV. To which of the following is UADY related to, following the same logic?
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Answer: (D) WCFA
Explanation
The relationship between the letter groups is based on shifting each letter forward by two positions in the English alphabetical order.
Looking at the first pair, KQTO is related to MSVQ:
K (11) + 2 = M (13)
Q (17) + 2 = S (19)
T (20) + 2 = V (22)
O (15) + 2 = Q (17)
Similarly, for PVYT and RXAV:
P (16) + 2 = R (18)
V (22) + 2 = X (24)
Y (25) + 2 = A (27, which wraps around to 1)
T (20) + 2 = V (22)
Applying this same logic to UADY:
U (21) + 2 = W (23)
A (1) + 2 = C (3)
D (4) + 2 = F (6)
Y (25) + 2 = A (27, which wraps around to 1)
This gives the letter combination WCFA.
429General Intelligence & Reasoning
If 18 September 1998 is Friday, then what will be the day of the week on 15 September 2009?
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Answer: (C) Tuesday
Explanation
To find the day of the week on 15 September 2009 starting from 18 September 1998, we first calculate the day on 18 September 2009.
The number of years between 18 September 1998 and 18 September 2009 is 11 years (2009 - 1998 = 11).
In this 11-year period, the leap years are 2000, 2004, and 2008, making a total of 3 leap years. The remaining 8 years are ordinary years.
Using the calendar formula for odd days:
Total odd days = (Total years + Number of leap years) mod 7
Total odd days = (11 + 3) mod 7 = 14 mod 7 = 0 odd days.
Since there are 0 odd days, 18 September 2009 falls on the same day of the week as 18 September 1998, which is Friday.
To find the day on 15 September 2009, we go back 3 days from 18 September 2009:
Friday - 3 days = Tuesday.
430General Intelligence & Reasoning
What should come in place of ? in the given series?
33 35 39 41 45 ?
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Answer: (A) 47
Explanation
The series follows an alternating addition pattern where we add 2 and then 4 to consecutive terms.
33 + 2 = 35
35 + 4 = 39
39 + 2 = 41
41 + 4 = 45
Following this pattern, the next step is to add 2 to the last term:
45 + 2 = 47
431General Intelligence & Reasoning
In a certain code language, 'CRATE' is coded as '27934' and 'TRACK' is coded as '27694'. What is the code for 'E' in the given code language?
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Answer: (D) 3
Explanation
By comparing the letters in the word CRATE and the word TRACK, the common letters are C, R, A, and T.
Similarly, comparing the given codes for these words, 27934 for CRATE and 27694 for TRACK, the common digits are 2, 7, 9, and 4.
This means that the letters C, R, A, and T correspond to the digits 2, 7, 9, and 4 in some order.
The only remaining letter in CRATE is E, and the only remaining digit in its code 27934 is 3. Therefore, the code for E is 3.
432General Intelligence & Reasoning
H is the father of M. M is the brother of C. C is the daughter of I and married to P. D is the daughter of C. Z is the daughter of M.
How is H related to I?
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Answer: (A) Husband
Explanation
H is the father of M. Since M is the brother of C, H is also the father of C. It is given that C is the daughter of I. This means H and I are the parents of C. Since H is the father, I must be the mother. Therefore, H is the husband of I.
433General Intelligence & Reasoning
Select the number from among the given options that can replace the question mark (?) in the following series.
183, 173, 153, 123, 83, ?
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Answer: (B) 33
Explanation
The series follows a pattern where consecutive multiples of 10 are subtracted from each term to obtain the next term.
Following this pattern, the next term is obtained by subtracting 50 from 83:
83 - 50 = 33
434General Intelligence & Reasoning
Which letter-cluster should come in place of ? in the given series based on the English alphabetical order?
HTD, DPZ, ?, VHR, RDN
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Answer: (C) ZLV
Explanation
The pattern in the series is determined by subtracting 4 from the alphabetical position of each letter in the previous cluster to find the corresponding letter of the next cluster.
For the first letter of each cluster, the alphabetical positions decrease by 4: H (8) - 4 = D (4), D (4) - 4 = Z (26), Z (26) - 4 = V (22), and V (22) - 4 = R (18).
For the second letter of each cluster, the alphabetical positions decrease by 4: T (20) - 4 = P (16), P (16) - 4 = L (12), L (12) - 4 = H (8), and H (8) - 4 = D (4).
For the third letter of each cluster, the alphabetical positions decrease by 4: D (4) - 4 = Z (26), Z (26) - 4 = V (22), V (22) - 4 = R (18), and R (18) - 4 = N (14).
Applying this uniform pattern of subtracting 4 to the second cluster DPZ yields the letter-cluster ZLV.
435General Intelligence & Reasoning
In a certain code language, 'WASTE' is coded as '60' and 'BRANDED' is coded as '84'. What is the code for 'CEILINGFANS' in the given code language?
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Answer: (B) 132
Explanation
The coding pattern multiplies the total number of letters in each word by 12 to obtain the final code.
For the word WASTE, the number of letters is 5.
Code = 5 × 12 = 60
For the word BRANDED, the number of letters is 7.
Code = 7 × 12 = 84
For the word CEILINGFANS, the number of letters is 11.
Code = 11 × 12 = 132
436General Intelligence & Reasoning
If 'A' stands for 's', 'B' stands for 'c', 'C' stands for 'r' and 'D' stands for 't', what will come in place of the question mark (?) in the following equation?
31 C 48 B 7 D 322 A 23 = ?
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Answer: (C) 353
Explanation
In the given coding scheme, the letters represent specific mathematical operations:
A stands for s (split, which represents division, ÷)
B stands for c (cross, which represents multiplication, ×)
C stands for r (rise, which represents addition, +)
D stands for t (take away, which represents subtraction, -)
Substituting these operators into the given equation:
31 + 48 × 7 - 322 ÷ 23
Applying the BODMAS rule:
First, perform the division:
322 ÷ 23 = 14
Next, perform the multiplication:
48 × 7 = 336
Finally, perform the addition and subtraction:
31 + 336 - 14 = 367 - 14 = 353
437General Intelligence & Reasoning
Select the option in which the letter-clusters share the same relationship as that shared by the given pair of letter-clusters.
EAT: IEX
TGX: XKB
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Answer: (B) QMF : UQJ
Explanation
The relationship between the letter-clusters in each pair is that each letter of the first cluster is shifted forward by 4 positions in the alphabetical order to obtain the corresponding letter of the second cluster.
In the given pair EAT : IEX:
E (5) + 4 = I (9)
A (1) + 4 = E (5)
T (20) + 4 = X (24)
Similarly, in TGX : XKB:
T (20) + 4 = X (24)
G (7) + 4 = K (11)
X (24) + 4 = B (28, which is 2 after resetting at 26)
Applying the same pattern to QMF : UQJ:
Q (17) + 4 = U (21)
M (13) + 4 = Q (17)
F (6) + 4 = J (10)
438General 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 of the following does NOT belong to that group?
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Answer: (D) JLN
Explanation
In the alphabetical series, the letters of the cluster JLN have the positional values J = 10, L = 12, and N = 14. The differences between the consecutive letters are:
L - J = 12 - 10 = 2
N - L = 14 - 12 = 2
This constant (+2, +2) increment pattern differs from the (+2, +4) increment pattern followed by the other three letter-clusters.
439General Intelligence & Reasoning
Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
_QRS_QRSPQ_SPQ_S
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Answer: (A) PPRR
Explanation
The given series is completed by repeating the four-letter pattern PQRS four times in sequence to form the continuous 16-letter string PQRSPQRSPQRSPQRS.
Placing the letters of option A (P, P, R, R) in the four blanks sequentially:
1st blank: P, which gives PQRS
2nd blank: P, which gives PQRSPQ
3rd blank: R, which gives RSPQ
4th blank: R, which gives RS
Combining these segments yields the complete repeating sequence:
PQRS + PQRSPQ + RSPQ + RS = PQRSPQRSPQRSPQRS
This successfully forms four consecutive blocks of PQRS.
440General Intelligence & Reasoning
If 19 June 2001 is Tuesday, then what will be the day of the week on 14 August 2007?
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Answer: (C) Tuesday
Explanation
To find the day on 14 August 2007 from 19 June 2001, we calculate the total odd days between these dates. There are exactly 6 years between 19 June 2001 and 19 June 2007, which includes one leap year (2004), giving 7 odd days (equivalent to 0 odd days), meaning 19 June 2007 is also a Tuesday. From 19 June 2007 to 14 August 2007, there are 56 days, which is exactly 8 weeks (0 odd days), so 14 August 2007 is also a Tuesday.
441General Intelligence & Reasoning
OLFE is related to NKED in a certain way based on the English alphabetical order. In the same way, VHNS is related to UGMR. To which of the following is XBOP related following the same logic?
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Answer: (C) WANO
Explanation
Each letter in the first group is shifted one position backward in the English alphabetical order to obtain the corresponding letter in the second group.
Applying this -1 shift logic to XBOP:
X - 1 = W
B - 1 = A
O - 1 = N
P - 1 = O
This yields the word WANO.
442General Intelligence & Reasoning
If 'A' stands for 's', 'B' stands for 'x', 'C' stands for 'r' and 'D' stands for '~', what will come in place of the question mark (?) in the following equation?
11 B 145 A 29 C 69 D 17 = ?
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Answer: (A) 107
Explanation
By substituting the letters with their corresponding mathematical operators based on the given logic:
B stands for multiplication (×)
A stands for division (÷)
C stands for addition (+)
D stands for subtraction (-)
The given equation is:
11 B 145 A 29 C 69 D 17
Substituting these operators into the equation:
11 × 145 ÷ 29 + 69 - 17
Applying the BODMAS rule:
First, perform the division:
145 ÷ 29 = 5
Next, perform the multiplication:
11 × 5 = 55
Next, perform the addition:
55 + 69 = 124
Finally, perform the subtraction:
124 - 17 = 107
443General Intelligence & Reasoning
The position of how many letters will remain unchanged if each of the letters in the word KINGDOM is arranged in alphabetical order?
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Answer: (B) None
Explanation
The original word is KINGDOM, which consists of the letters K, I, N, G, D, O, and M.
Arranging these letters in alphabetical order yields D, G, I, K, M, N, and O.
Comparing the positions of each letter in the original and sorted sequences:
Position 1: K becomes D
Position 2: I becomes G
Position 3: N becomes I
Position 4: G becomes K
Position 5: D becomes M
Position 6: O becomes N
Position 7: M becomes O
None of the letters occupy the same position in both the original word and the alphabetically sorted word.
444General Intelligence & Reasoning
Select the option in which the numbers do NOT share the same relationship as that shared by the given pairs of numbers. (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.) 32:65 and 35:71
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Answer: (D) 30:59
Explanation
The relationship between the numbers in the given pairs is that the second number is obtained by multiplying the first number by 2 and then adding 1.
For the pair 32:65, 32 × 2 + 1 = 65.
For the pair 35:71, 35 × 2 + 1 = 71.
In the pair 30:59, this rule is not followed because 30 × 2 + 1 = 61, which is not equal to 59. Instead, the relationship is 30 × 2 - 1 = 59.
445General 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 Indians are Americans. Some Chinese are Americans. All Chinese are Russians.
Conclusions:
(I) Some Chinese are Indians is a possibility. (II) No Russian is an Indian. (III) Some Americans are Russians.
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Answer: (C) Both conclusions I and III follow
Explanation
To determine which conclusions follow, we analyze the relationships given in the statements.
For conclusion I, there is no negative restriction or boundary defined between the group of Indians and the group of Chinese. In the absence of any negative statements connecting these two groups, any positive possibility between them is logically feasible. Therefore, it is possible that some Chinese are Indians, making conclusion I follow.
For conclusion III, the statements state that some Chinese are Americans, meaning there is an overlap between the Chinese and Americans. Since all Chinese are Russians, the portion of Chinese that overlaps with Americans must also be part of the Russian group. This guarantees an intersection between Americans and Russians, which means some Americans are Russians is definitely true. Thus, conclusion III also follows.
446General Intelligence & Reasoning
Select the triad from the below options that has the same analogy as the following triad.
(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)
425:85:423
315:63:313
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Answer: (A) 235:47:233
Explanation
The numbers in the given triads (x : y : z) follow a specific mathematical relation where the second number is obtained by dividing the first number by 5, and the third number is obtained by subtracting 2 from the first number.
y = x / 5
z = x - 2
Applying this logic to the first given triad 425 : 85 : 423:
85 = 425 / 5
423 = 425 - 2
Applying this logic to the second given triad 315 : 63 : 313:
63 = 315 / 5
313 = 315 - 2
Similarly, for the triad 235 : 47 : 233:
47 = 235 / 5
233 = 235 - 2
447General Intelligence & Reasoning
In the following number- pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the option in which the numbers are related in the same way as are the numbers of the following pairs.
(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.)
16,99
13,81
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Answer: (A) 9,57
Explanation
The relationship between the first number (x) and the second number (y) in each given pair is determined by the formula y = 6 × x + 3.
Applying this formula to the given pairs:
6 × 16 + 3 = 96 + 3 = 99
6 × 13 + 3 = 78 + 3 = 81
Applying the same formula to the first number in the correct option:
6 × 9 + 3 = 54 + 3 = 57
448General Intelligence & Reasoning
R is the father of P, P is the sister of Q, Q is the grandson of T, S is the only child of M, M is married to T. R is married to S How is S related to P?
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Answer: (D) Mother
Explanation
Since R is the father of P, and P is the sister of Q, R is the father of both P and Q. It is given that R is married to S. Since R is the father (male), S must be the mother (female) of P and Q. This is consistent with S being the only child of M and T, making Q the grandson of T. Therefore, S is the mother of P.
449General 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?
(1) 4-27 (2) 6-125 (3) 7-216 (4) 5-63
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Answer: (C) 4
Explanation
The number pairs follow the mathematical relationship where the second number is the cube of the first number minus one. This is represented by the formula y = (x - 1)³, where x is the first number and y is the second number.
Applying this formula to the pairs:
For the pair 4-27, (4 - 1)³ = 3³ = 27.
For the pair 6-125, (6 - 1)³ = 5³ = 125.
For the pair 7-216, (7 - 1)³ = 6³ = 216.
For the pair 5-63, applying the formula gives (5 - 1)³ = 4³ = 64. Since 63 ≠ 64, this pair does not follow the established rule and does not belong to the group.
450General Intelligence & Reasoning
Select the word-pair that does NOT represent 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.) Astonishing: Incredible
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Answer: (B) Descend : Ascend
Explanation
The words Astonishing and Incredible are synonyms, sharing a similar meaning of causing great surprise or disbelief. In contrast, the word-pair Descend and Ascend consists of antonyms, which represent opposite actions where descend means to move downward and ascend means to move upward.