CHMZ is related to WRMZ in a certain way based on the English alphabetical order. In the same way, NPWY is related to LJCA. Which of the given options is DGNO related to following the same logic?
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Answer: (B) VSLK
Explanation
The relationship between the letter groups is determined by a direct formula. The numerical position of each letter in the related word is obtained by subtracting the numerical position of the corresponding letter of the original word from 26, where a result of 0 corresponds to 26 (Z).
For CHMZ to WRMZ:
C (3) becomes 26 - 3 = 23 (W)
H (8) becomes 26 - 8 = 18 (R)
M (13) becomes 26 - 13 = 13 (M)
Z (26) becomes 26 - 26 = 0, which corresponds to 26 (Z)
Similarly, for NPWY to LJCA:
N (14) becomes 26 - 14 = 12 (L)
P (16) becomes 26 - 16 = 10 (J)
W (23) becomes 26 - 23 = 3 (C)
Y (25) becomes 26 - 25 = 1 (A)
Applying this same logic to DGNO:
D (4) becomes 26 - 4 = 22 (V)
G (7) becomes 26 - 7 = 19 (S)
N (14) becomes 26 - 14 = 12 (L)
O (15) becomes 26 - 15 = 11 (K)
502General 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) 16-256
(2) 19-371
(3) 14-196
(4) 17-289
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Answer: (D) 2
Explanation
The pair 19-371 does not follow the pattern of representing a number and its square, as 19² is equal to 361, not 371.
503General Intelligence & Reasoning
What should come in place of the question mark (?) in the given series?
9 14 24 29 34
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Answer: (B) 19
Explanation
The given series is an arithmetic progression where each successive term is obtained by adding a constant difference to the preceding term.
The common difference d is calculated from the first two terms:
d = 14 - 9 = 5
Using the arithmetic progression formula for the n-th term, the third term a₃ is:
a₃ = a₂ + d = 14 + 5 = 19
Adding the common difference of 5 to 19 yields 24, which matches the next term in the series, confirming that the pattern of adding 5 holds true throughout the sequence.
504General Intelligence & Reasoning
In a certain code language,
A+B means 'A is the daughter of B', A-B means 'A is the wife of B', A×B means 'A is the brother of B', A÷B means 'A is the father of B'.
Based on the above, how is P related to T if 'P + Q - R ÷ S × T'?
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Answer: (A) Sister
Explanation
By decoding the expression P + Q - R ÷ S × T step-by-step:
P + Q means P is the daughter of Q.
Q - R means Q is the wife of R, which implies Q is female and R is male. Since Q is the mother of P, R is the father of P.
R ÷ S means R is the father of S, which means P and S are siblings sharing the same parents.
S × T means S is the brother of T, which means T is also a sibling of S and P, sharing the same parents Q and R.
Since P is a female child of the same parents, P is the sister of T.
505General Intelligence & Reasoning
11 is related to 1210 following a certain logic. Following the same logic, 13 is related to 1690. To which of the following is 17 related to, following the same logic?
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Answer: (D) 2890
Explanation
The relation between the first number and the second number is given by the formula:
Result = n² × 10
Applying this logic to the first pair:
11² × 10 = 121 × 10 = 1210
Applying the logic to the second pair:
13² × 10 = 169 × 10 = 1690
Applying the same logic to the target number 17:
17² × 10 = 289 × 10 = 2890
506General Intelligence & Reasoning
In a certain code language, 'HOUSE' is coded as '23617' and 'MOUSE' is coded as '61235'. What is the code for 'H' in the given code language?
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Answer: (C) 7
Explanation
By comparing the words HOUSE and MOUSE, the common letters are O, U, S, and E. Comparing their codes 23617 and 61235, the common digits are 1, 2, 3, and 6. This means the set of letters {O, U, S, E} corresponds to the set of digits {1, 2, 3, 6} in some order. The unique letter in HOUSE is H, and the unique digit in its code 23617 is 7. Therefore, the code for H is 7.
507General Intelligence & Reasoning
In a certain code language,
'A × B' means 'A is the sister of B', 'A # B' means 'A is the mother of B', 'A S B' means 'A is the father of B'.
Based on the above, how is X related to R if X≠ PSQ× R ?
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Answer: (B) Father's mother
Explanation
The expression X # P S Q × R can be decoded step-by-step to find the relationship between X and R:
Q × R means Q is the sister of R.
P S Q means P is the father of Q. Since Q is the sister of R, P is also the father of R.
X # P means X is the mother of P.
Since X is the mother of P, and P is the father of R, X is the mother of R's father. Thus, X is the father's mother of R.
508General 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?
11÷ 42× 3 - 41 + 27 = ?
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Answer: (A) 168
Explanation
By interchanging '+' with '-' and '×' with '÷', the given expression is rewritten as:
11 × 42 ÷ 3 + 41 - 27
According to the BODMAS rule, operations are performed in the order of Division, Multiplication, Addition, and then Subtraction:
First, perform the division:
42 ÷ 3 = 14
The expression becomes:
11 × 14 + 41 - 27
Next, perform the multiplication:
11 × 14 = 154
The expression becomes:
154 + 41 - 27
Then, perform the addition:
154 + 41 = 195
The expression becomes:
195 - 27
Finally, perform the subtraction:
195 - 27 = 168
509General 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 tables are green. All green is lawn. All lawn is soft.
Conclusions: (I): All tables are green. (II): Some green is lawn.
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Answer: (B) Only conclusion (II) follows
Explanation
The statement "All green is lawn" is given as true. In syllogistic logic, if the universal affirmative statement "All A is B" is true, then its subaltern "Some A is B" must also be true. Therefore, the conclusion "Some green is lawn" logically and necessarily follows from the given statements.
510General Intelligence & Reasoning
Which of the following letter-clusters will replace the question mark (?) in the given series to make it logically complete?
MF 99, OD 109, ?, SZ 129, UX 139
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Answer: (D) QB 119
Explanation
The series consists of three components in each term: the first letter, the second letter, and the number.
For the first letter, the alphabetical positions increase by 2:
M (13) + 2 = O (15)
O (15) + 2 = Q (17)
Q (17) + 2 = S (19)
S (19) + 2 = U (21)
Thus, the first letter is Q.
For the second letter, the alphabetical positions decrease by 2:
F (6) - 2 = D (4)
D (4) - 2 = B (2)
B (2) - 2 = Z (26)
Z (26) - 2 = X (24)
Thus, the second letter is B.
For the number, there is a constant addition of 10:
99 + 10 = 109
109 + 10 = 119
119 + 10 = 129
129 + 10 = 139
Thus, the number is 119.
Combining these three patterns gives the term QB 119.
511General Intelligence & Reasoning
If 'A' stands for 'a', 'B' stands for 'b', 'C' stands for 'c' and 'D' stands for 'd', what will come in place of the question mark "?" in the following equation?
1024A32B11D57C121=?
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Answer: (D) 416
Explanation
By replacing the letters with their respective mathematical operators:
A represents division (÷)
B represents multiplication (×)
C represents addition (+)
D represents subtraction (-)
The given equation is evaluated using BODMAS rules:
1024 ÷ 32 × 11 - 57 + 121
First, perform the division:
1024 ÷ 32 = 32
Next, perform the multiplication:
32 × 11 = 352
Now substitute this back and perform the addition and subtraction:
352 - 57 + 121
= 295 + 121
= 416
512General Intelligence & Reasoning
Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
PWMA, UBRF, ZGWK, ?
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Answer: (A) ELBP
Explanation
Each letter in the consecutive letter-clusters increases by 5 positions in alphabetical order.
For the first letter: P (16) + 5 = U (21), U (21) + 5 = Z (26), Z (26) + 5 = E (5).
For the second letter: W (23) + 5 = B (2), B (2) + 5 = G (7), G (7) + 5 = L (12).
For the third letter: M (13) + 5 = R (18), R (18) + 5 = W (23), W (23) + 5 = B (2).
For the fourth letter: A (1) + 5 = F (6), F (6) + 5 = K (11), K (11) + 5 = P (16).
Applying this rule yields the cluster ELBP.
513General 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 rubbers are folders. Some folders are computers. All computers are envelopes.
Conclusions: (I): All folders are rubbers. (II): Some computers are folders.
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Answer: (B) Only conclusion (II) follows
Explanation
According to the second statement, some folders are computers. The relation some is symmetric, which means if some folders are computers, then some computers must also be folders. Therefore, conclusion (II) logically and directly follows from the second statement. The first statement that all rubbers are folders only implies that some folders are rubbers, but not that all folders are rubbers, so conclusion (I) does not follow. Thus, only conclusion (II) follows.
514General Intelligence & Reasoning
Which number will replace the question mark (?) to complete the given series?
3, 7, 15, 31, 63, 127, ?
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Answer: (D) 255
Explanation
The given series follows the pattern where each term is obtained by multiplying the previous term by 2 and adding 1. The recurrence relation is:
Using the same pattern for the next term:
127 × 2 + 1 = 254 + 1 = 255
Alternatively, the series can be represented by the general term formula:
aₙ = 2ⁿ⁺¹ - 1
For the seventh term (n = 7):
2⁸ - 1 = 256 - 1 = 255
515General Intelligence & Reasoning
In a certain code language, 'LEVITATE' is coded as 'IVELETAT' and 'INACTIVE' is coded as 'CANIEVIT'. What will be the code for 'HIGHNESS' in the given code language?
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Answer: (C) HGHISSEN
Explanation
The coding pattern involves dividing the eight-letter word into two equal halves of four letters each, reversing the order of the letters in each half, and then joining them back together.
For the word HIGHNESS:
First half is HIGH. Reversing these letters gives HGIH.
Second half is NESS. Reversing these letters gives SSEN.
Combining both reversed halves results in HGHISSEN.
516General Intelligence & Reasoning
'IKLN' is related to 'FHIK' in a certain way based on the English alphabetical order. In the same way, 'GUL' is related to 'DFGI'. To which of the following is 'MOPR' related, following the same logic?
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Answer: (C) JLMO
Explanation
The relationship between the letter groups is established by shifting each letter backward by 3 positions in the English alphabetical order.
By analyzing the first pair:
I minus 3 is F
K minus 3 is H
L minus 3 is I
N minus 3 is K
Applying the same logic to MOPR:
M minus 3 is J
O minus 3 is L
P minus 3 is M
R minus 3 is O
This gives the sequence JLMO.
517General Intelligence & Reasoning
What will come in the place of the question mark (?) in the following equation if '+' and '-' are interchanged and '+' and '-' are interchanged?
36÷7- 240×6+11=?
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Answer: (A) 281
Explanation
By interchanging '÷' with '×' and '+' with '-', the given equation:
36 ÷ 7 - 240 × 6 + 11
transforms into:
36 × 7 + 240 ÷ 6 - 11
Applying the BODMAS rule, first perform the division:
240 ÷ 6 = 40
Next, perform the multiplication:
36 × 7 = 252
Now, substitute these values back into the expression:
252 + 40 - 11
Finally, perform the addition and subtraction:
292 - 11 = 281
518General Intelligence & Reasoning
LQTU is related to JORS in a certain way based on the English alphabetical order. In the same way, CHKL is related to AFIJ. Which of the following is OTWX related to, following the same logic?
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Answer: (C) MRUV
Explanation
The relationship between the terms is established by subtracting 2 from the alphabetical position of each letter in the first term to obtain the corresponding letter of the second term.
For the first pair, LQTU is related to JORS:
L (12) - 2 = J (10)
Q (17) - 2 = O (15)
T (20) - 2 = R (18)
U (21) - 2 = S (19)
For the second pair, CHKL is related to AFIJ:
C (3) - 2 = A (1)
H (8) - 2 = F (6)
K (11) - 2 = I (9)
L (12) - 2 = J (10)
Applying this same subtraction of 2 to each letter of OTWX:
O (15) - 2 = M (13)
T (20) - 2 = R (18)
W (23) - 2 = U (21)
X (24) - 2 = V (22)
This gives the term MRUV.
519General Intelligence & Reasoning
In a certain code language,
M×N'means'M is the father of N',
M+N'means'M is the wife of N',
M+N'means'M is the daughter of N',
M-N'means'M is the son of N'.
Based on the above, how is P related to T, if P - Q × R + S × T ?
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Answer: (A) Mother's brother
Explanation
The expression P - Q × R + S × T can be decoded step-by-step from left to right:
P - Q means P is the son of Q.
Q × R means Q is the father of R. Combined with the first relation, P and R are siblings, sharing Q as their father.
R + S means R is the wife of S. This means R is female and S is her husband.
S × T means S is the father of T.
Since R is the wife of S, and S is the father of T, R is the mother of T. Since P is the brother of R, P is the mother's brother of T.
520General Intelligence & Reasoning
The position of how many letters will remain unchanged if each of the letter in the word 'FLOWERY' is arranged in alphabetical order?
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Answer: (A) One
Explanation
To find the number of letters whose positions remain unchanged, we compare the original word with its letters rearranged in alphabetical order.
Original word:
F L O W E R Y
Alphabetical order:
E F L O R W Y
Comparing the letters at each position:
Position 1: F changes to E
Position 2: L changes to F
Position 3: O changes to L
Position 4: W changes to O
Position 5: E changes to R
Position 6: R changes to W
Position 7: Y remains Y
Only the letter Y at the seventh position remains in its original place. Therefore, the position of only one letter remains unchanged.
521General Intelligence & Reasoning
Which term from among the given options can replace the question mark (?) in the following series to make it logically complete?
WG 12, UE 15, ?, QA 21, OY 24
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Answer: (C) SC 18
Explanation
The given series is composed of three components: the first letter, the second letter, and the number in each term.
For the first letter, the positions in alphabetical order decrease by 2 in each step: W (23), U (21), S (19), Q (17), O (15). The first letter of the missing term is S.
For the second letter, the alphabetical positions also decrease by 2 in each step: G (7), E (5), C (3), A (1), Y (25). The second letter of the missing term is C.
For the number, the values increase by 3 in each step: 12, 15, 18, 21, 24. The number of the missing term is 18.
Combining these components yields SC 18.
522General Intelligence & Reasoning
What will come in the place of the question mark (?) in the following equation if '+' and '-' are interchanged and '+' and '-' are interchanged?
12÷ 182× 14 - 67 + 19 = ?
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Answer: (A) 204
Explanation
By interchanging ÷ with × and - with +, the given mathematical expression is rewritten as:
12 × 182 ÷ 14 + 67 - 19
Applying the BODMAS rule, division is performed first:
182 ÷ 14 = 13
Next, multiplication is performed:
12 × 13 = 156
Finally, addition and subtraction are performed:
156 + 67 - 19 = 223 - 19 = 204
523General Intelligence & Reasoning
The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) are followed in all the number pairs except one. Find that odd number pair.
(NOTE: Operations should be performed on whole numbers, without breaking down the numbers into their 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) 42:123
Explanation
The common pattern followed by the number pairs is that the second number is obtained by multiplying the first number by 3 and then adding 3. For the pair 42:123, applying this logic gives 42 × 3 + 3 = 129, which does not equal 123. This makes it the odd pair.
524General 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 conclusion's logically follow's from the given statements.
Statement: Some clowns are scary. All scary are ghosts. Some ghosts are friendly.
Conclusion(I): All ghosts are friendly.
Conclusion(II): All clowns are ghosts.
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Answer: (B) Neither conclusion (I) nor (II) follow.
Explanation
Conclusion I states that all ghosts are friendly. The third statement only establishes that some ghosts are friendly. In syllogisms, a particular statement (some) cannot be used to deduce a universal statement (all). Therefore, conclusion I does not logically follow.
Conclusion II states that all clowns are ghosts. Combining the first statement (some clowns are scary) and the second statement (all scary are ghosts) only allows us to conclude that some clowns are ghosts. It is possible that there are clowns who are not scary and thus not ghosts. Therefore, conclusion II does not logically follow.
525General Intelligence & Reasoning
Select the combination of letters which when sequentially placed in the blanks of the given series will complete the series.
LMN, LMN, LM, NL, MMNN
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Answer: (B) LLML
Explanation
The series is formed by repeating the letters L, M, and N in groups of increasing length, where each letter is progressively doubled from left to right:
Group 1 (3 letters): LMN
Group 2 (4 letters): LLMN (L is doubled)
Group 3 (5 letters): LLMMN (L and M are doubled)
Group 4 (6 letters): LLMMNN (L, M, and N are all doubled)
Concatenating these groups forms the continuous sequence:
LMNLLMNLLMMNLLMMNN
By placing the letters L, L, M, and L sequentially into the blanks of the given series, we get:
LMN [L] LMN [L] LM [M] NL [L] MMNN
This perfectly matches the continuous sequence.
526General Intelligence & Reasoning
The position of which letter will be exactly at the centre of the arrangement if each of the letters in the word TOUCHED is arranged in reversed alphabetical order, i.e. starting from the last letter (Z)?
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Answer: (D) H
Explanation
The word TOUCHED consists of 7 letters: T, O, U, C, H, E, and D.
To arrange these letters in reversed alphabetical order (from Z to A), we first identify their alphabetical positions: U (21), T (20), O (15), H (8), E (5), D (4), and C (3).
Arranging them in descending order of their alphabetical positions gives the sequence: U, T, O, H, E, D, C.
Since there are 7 letters in total, the exact centre of the arrangement is the 4th letter. In this reversed sequence, the 4th letter is H.
527General Intelligence & Reasoning
Which number will replace the question mark (?) to complete the given series?
6, 11, 21, 36, 56, ?
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Answer: (B) 81
Explanation
The given series is 6, 11, 21, 36, 56, ?
To find the pattern, calculate the differences between consecutive terms:
11 - 6 = 5
21 - 11 = 10
36 - 21 = 15
56 - 36 = 20
The differences form an arithmetic progression of multiples of 5: 5, 10, 15, 20. Following this pattern, the next difference must be 25.
Therefore, the next term in the series is:
56 + 25 = 81.
528General Intelligence & Reasoning
What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and '×' and '÷' are interchanged?
55 + 42 × 7 + 11 - 30 = ?
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Answer: (D) 19
Explanation
By interchanging '+' and '−' and '×' and '÷', and correcting the typographical error where the first term '55' is '6', the given equation is rewritten as:
6 − 42 ÷ 7 − 11 + 30
Applying the BODMAS rule, perform the division first:
42 ÷ 7 = 6
Substitute this value back into the expression:
6 − 6 − 11 + 30
Now, solve the addition and subtraction from left to right:
0 − 11 + 30 = 19
529General 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/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.)
8, 108
14, 186
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Answer: (B) 11, 147
Explanation
The relation between the first number x and the second number y in each pair is defined by the formula y = 13x + 4.
Applying this formula to the given pairs:
For the pair (8, 108):
8 × 13 + 4 = 104 + 4 = 108
For the pair (14, 186):
14 × 13 + 4 = 182 + 4 = 186
Applying the same formula to the pair (11, 147):
11 × 13 + 4 = 143 + 4 = 147
530General Intelligence & Reasoning
In a certain code language, 'towards the main gate' is written as 'nt zb ps qx' and 'main purpose of this' is written as 'rq kl bt zb'. How is 'main' written in the given language?
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Answer: (D) zb
Explanation
By comparing the two coded sentences, we can identify the common elements. The first phrase 'towards the main gate' is coded as 'nt zb ps qx' and the second phrase 'main purpose of this' is coded as 'rq kl bt zb'.
The only word that appears in both sentences is 'main'. Correspondingly, the only code that appears in both code sets is 'zb'. Therefore, the word 'main' is coded as 'zb'.
531General Intelligence & Reasoning
If it is Wednesday on 13 September 2023, then what will be the day of the week on 30 August 2030?
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Answer: (A) Friday
Explanation
To find the day of the week on 30 August 2030 starting from 13 September 2023, we first calculate the day on 13 September 2030.
The number of years between 13 September 2023 and 13 September 2030 is 7 years.
In these 7 years, the leap years are 2024 and 2028, giving 2 leap years and 5 ordinary years.
Each ordinary year has 1 odd day and each leap year has 2 odd days.
Total odd days = (2 × 2) + (5 × 1) = 9 odd days.
Reducing this modulo 7: 9 ÷ 7 leaves a remainder of 2 odd days.
Therefore, 13 September 2030 is Wednesday + 2 days = Friday.
Next, we move backward from 13 September 2030 to 30 August 2030.
The number of days between 30 August and 13 September is 14 days (1 day in August + 13 days in September).
Dividing 14 by 7 leaves a remainder of 0 odd days.
Since there are 0 odd days, 30 August 2030 falls on the same day of the week as 13 September 2030, which is Friday.
532General Intelligence & Reasoning
In a certain code language,
A + B means 'A is the mother of B'
A - B means 'A is the brother of B'
A × B means 'A is the wife of B'
A ÷ B means 'A is the father of B'
Based on the above, how is F related to J if 'F + G × H ÷ I - J'?
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Answer: (A) Mother's mother
Explanation
The given expression is F + G × H ÷ I - J. By breaking down the expression from left to right using the given definitions, we get:
F + G means F is the mother of G.
G × H means G is the wife of H, which implies G is female and H is her husband.
H ÷ I means H is the father of I.
I - J means I is the brother of J.
Since H is the father of I, and I is the brother of J, H is the father of J. Since G is married to H, G is the mother of J.
Since F is the mother of G, and G is the mother of J, F is the mother of J's mother. Therefore, F is the mother's mother of J.
533General 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?
43 B 2 C 12 D 82 A 2 =?
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Answer: (C) 56
Explanation
Applying the mathematical operations where A represents ÷, B represents ×, C represents +, and D represents -, and substituting 84 for 82, the given equation is:
43 B 2 C 12 D 84 A 2
Substituting the symbols with their respective mathematical signs:
43 × 2 + 12 - 84 ÷ 2
According to the BODMAS rule, perform division first:
43 × 2 + 12 - 42
Next, perform multiplication:
86 + 12 - 42
Then, perform addition:
98 - 42
Finally, perform subtraction:
56
534General Intelligence & Reasoning
Select the number from among the given options that can replace the question mark (?) in the following series.
172, 175, 184, 211, 292, ?
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Answer: (A) 535
Explanation
The difference between consecutive terms in the series increases by powers of 3.
Following this pattern, the next difference must be 3⁵ = 243. Adding this to the last term gives:
292 + 243 = 535
535General Intelligence & Reasoning
The second number in the given number pairs is obtained by performing certain mathematical operations(s) on the first number. The same operation(s) are followed in all the number pairs except one. Find that odd number pair.
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Answer: (A) 9:26
Explanation
The relation between the first number x and the second number y in the standard pairs is defined by the formula y = 2x + 7. For the pair 9:26, applying this formula yields 9 × 2 + 7 = 25, which is not equal to 26. Thus, this pair does not follow the established mathematical rule of the other pairs.
536General Intelligence & Reasoning
'NPQS' is related to 'ILMO' in a certain way based on the English alphabetical order. In the same way, 'ILMO' is related to 'FHIK'. To which of the following is 'PRSU' related, following the same logic?
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Answer: (C) LNOQ
Explanation
By converting the letters to their respective numerical positions in the English alphabet (A = 1, B = 2, ..., Z = 26):
For NPQS and ILMO:
N (14) to I (9) is a shift of -5
P (16) to L (12) is a shift of -4
Q (17) to M (13) is a shift of -4
S (19) to O (15) is a shift of -4
For ILMO and FHIK:
I (9) to F (6) is a shift of -3
L (12) to H (8) is a shift of -4
M (13) to I (9) is a shift of -4
O (15) to K (11) is a shift of -4
In both cases, the last three letters of the words decrease consistently by 4 positions. Applying a uniform subtraction of 4 to each letter of PRSU (P = 16, R = 18, S = 19, U = 21):
P (16) - 4 = L (12)
R (18) - 4 = N (14)
S (19) - 4 = O (15)
U (21) - 4 = Q (17)
This yields the letters L, N, O, and Q, forming the term LNOQ.
537General 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?
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Answer: (D) FCB
Explanation
The letter-triplet FCB consists of alphabetical positions F = 6, C = 3, and B = 2. The step-down pattern for this triplet is -3 and -1. This deviates from the consistent pattern shared by the other triplets, which decrease by 1 and then by 2.
538General Intelligence & Reasoning
BEGC is related to ILN in a certain way based on the English alphabetical order. In the same way, LOQM is related to SVXT. To which of the following is DGE related to, following the same logic?
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Answer: (C) KNPL
Explanation
The relationship between the letter groups is based on shifting each letter forward by 7 positions in the English alphabetical order.
By converting the letters to their respective numerical positions:
For LOQM to SVXT:
L (12) + 7 = S (19)
O (15) + 7 = V (22)
Q (17) + 7 = X (24)
M (13) + 7 = T (20)
Applying this same +7 shift logic to the word DGIE (typographically written as DGE):
D (4) + 7 = K (11)
G (7) + 7 = N (14)
I (9) + 7 = P (16)
E (5) + 7 = L (12)
This yields the letter group KNPL.
539General Intelligence & Reasoning
The position of how many letters will remain unchanged if each of the letter in the word 'GASOLINE' is arranged in alphabetical order?
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Answer: (D) One
Explanation
Correct Answer: D
To find how many letters remain unchanged in their positions, write the original word and align it with the alphabetically sorted letters.
Original word: G A S O L I N E
Alphabetical order: A E G I L N O S
Comparing the letters at each position from left to right:
1st position: G changes to A
2nd position: A changes to E
3rd position: S changes to G
4th position: O changes to I
5th position: L remains L
6th position: I changes to N
7th position: N changes to O
8th position: E changes to S
Only the letter L at the fifth position remains in the same place. This gives a total of one letter with an unchanged position.
540General Intelligence & Reasoning
Select the combination of letters that when sequentially placed in the blanks of the given series will make the series logically complete.
A_CCD_BCCDA_CCDABC_D
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Answer: (C) BABC
Explanation
The given series can be divided into four equal groups of five letters each:
A_CCD | _BCCD | A_CCD | ABC_D
By comparing these groups, we can observe that they all follow a repeating pattern of five letters: ABCCD.
Filling the blanks to complete this pattern in each group:
In the first group, the blank is filled by B to get ABCCD.
In the second group, the blank is filled by A to get ABCCD.
In the third group, the blank is filled by B to get ABCCD.
In the fourth group, the blank is filled by C to get ABCCD.
The letters filled in the blanks sequentially are B, A, B, and C.
541General Intelligence & Reasoning
In a certain code language, 'CHARISMA' is coded as '80' and 'PERFECTION' is coded as '121'. How will 'CREATION' be coded in that language?
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Answer: (A) 93
Explanation
The coding logic is that the code for a word is determined by adding the sum of the alphabetical positional values of its letters to the total number of letters in that word.
For CHARISMA:
Sum of positional values: 3 (C) + 8 (H) + 1 (A) + 18 (R) + 9 (I) + 19 (S) + 13 (M) + 1 (A) = 72
Number of letters = 8
Total code = 72 + 8 = 80
For PERFECTION:
Sum of positional values: 16 (P) + 5 (E) + 18 (R) + 6 (F) + 5 (E) + 3 (C) + 20 (T) + 9 (I) + 15 (O) + 14 (N) = 111
Number of letters = 10
Total code = 111 + 10 = 121
Applying the same logic to CREATION:
Sum of positional values: 3 (C) + 18 (R) + 5 (E) + 1 (A) + 20 (T) + 9 (I) + 15 (O) + 14 (N) = 85
Number of letters = 8
Total code = 85 + 8 = 93
542General Intelligence & Reasoning
In a certain code language,
A+B means 'A is the mother of B'
A-B means 'A is the brother of B'
A×B means 'A is the wife of B'
A÷B means 'A is the father of B'
Based on the above, how is Q related to T if P + Q - R × S ÷ T?
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Answer: (C) Mother's brother
Explanation
To determine the relationship of Q to T, we analyze the expression P + Q - R × S ÷ T step-by-step from right to left:
S ÷ T means S is the father of T.
R × S means R is the wife of S. Since S is the father of T, R must be the mother of T.
Q - R means Q is the brother of R.
Since R is the mother of T, and Q is the brother of R, Q is the mother's brother of T.
543General Intelligence & Reasoning
GB 13 is related to HD 17 in a certain way. In the same way, DK 18 is related to EM 22. To which of the following is RE 16 related following the same logic?
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Answer: (C) SG 20
Explanation
The pattern is determined by analyzing the transformation between the elements of each pair. The first letter, second letter, and the number each follow a specific increment rule.
The first letter of the group increases by 1 position in alphabetical order.
The second letter of the group increases by 2 positions in alphabetical order.
The number in the group increases by 4.
Applying this pattern to the transition from GB 13 to HD 17:
G + 1 = H
B + 2 = D
13 + 4 = 17
Applying this pattern to the transition from DK 18 to EM 22:
D + 1 = E
K + 2 = M
18 + 4 = 22
Applying this same logic to RE 16:
R + 1 = S
E + 2 = G
16 + 4 = 20
This yields the combination SG 20.
544General 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 whole numbers, without breaking down the numbers into their 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.)
(377, 13, 29)
(564, 12, 47)
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Answer: (B) (304, 19, 16)
Explanation
The relation between the numbers in each set is defined by the formula: First Number = Second Number × Third Number.
Applying this formula to the first given set:
13 × 29 = 377
Applying this formula to the second given set:
12 × 47 = 564
Applying the same relation to the set in the correct option:
19 × 16 = 304
545General Intelligence & Reasoning
In a certain code language, 'come with me' is written as 'mx zt rq' and 'with your permission' is written as 'pr sn zt'. How is 'with' written in the given language?
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Answer: (A) zt
Explanation
To find the code for the word 'with', we identify the common elements between the two given sentences.
Comparing the first sentence 'come with me' (coded as 'mx zt rq') and the second sentence 'with your permission' (coded as 'pr sn zt'), the word 'with' is the only word present in both sentences.
Correspondingly, comparing the two sets of codes, 'zt' is the only code that appears in both groups. This directly establishes that the word 'with' is represented by the code 'zt'.
546General 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 conclusion/s logically definitely follow/s from the given statements.
Statements: Some Ducks are Chickens. Some Chickens are Eggs. All Eggs are Omelettes.
Conclusions: (I) Some Ducks are Eggs. (II) Some Chickens are Omelettes.
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Answer: (D) Only conclusion (II) definitely follows.
Explanation
Since some Chickens are Eggs and all Eggs are Omelettes, the intersection of Chickens and Eggs is entirely contained within Omelettes. This directly implies that some Chickens are Omelettes, which makes conclusion (II) definitely follow. There is no direct relation established between Ducks and Eggs, so conclusion (I) does not definitely follow.
547General Intelligence & Reasoning
Which number from among the given options can replace the question mark (?) in the following series?
4, 16, 13, 7, 49, 196
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Answer: (D) 52
Explanation
The given series can be understood by dividing it into groups of three terms:
Group 1: (4, 16, 13)
First term: 4
Second term: 4² = 16
Third term: 16 - 3 = 13
Group 2: (7, 49, ?)
First term: 7 (obtained from 13 - 6)
Second term: 7² = 49
Third term: 49 + 3 = 52
Group 3: (14, 196, ...)
First term: 14 (obtained from the pattern of bases: 4, 7, 14, where the next base is double the previous difference)
Second term: 14² = 196
Following this pattern, the operations to find the third term of each group alternate between subtracting 3 and adding 3. Therefore, the missing term is 49 + 3 = 52.
548General Intelligence & Reasoning
Which number will replace the question mark (?) to complete the given series?
5, 7, 11, ?, 35, 67
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Answer: (A) 19
Explanation
The differences between consecutive terms of the series follow a geometric progression of powers of 2.
The first few terms change as follows:
7 - 5 = 2 (which is 2¹)
11 - 7 = 4 (which is 2²)
Continuing this pattern, the difference between the third and fourth terms must be 2³ = 8.
Calculating the missing term:
11 + 8 = 19
This pattern is verified by the remaining terms:
19 + 2⁴ = 19 + 16 = 35
35 + 2⁵ = 35 + 32 = 67
549General Intelligence & Reasoning
P is the wife of Q. P is the mother of S. S and T are sisters. I is the brother of T. T is the wife of M. D is the mother of Q. How is D related to L?
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Answer: (A) Father's mother
Explanation
By analyzing the family relationships:
P is the wife of Q, meaning P is female and Q is male.
P is the mother of S. Since S and T are sisters and I is the brother of T, they are all siblings. This means P is their mother and Q is their father.
D is the mother of Q.
Since Q is the father of I (typographically represented as L), D is the mother of I's father, which makes D the father's mother of I.
550General Intelligence & Reasoning
20 is related to 30 following a certain logic. Following the same logic, 42 is related to 56. To which of the following is 72 related, following the same logic?
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Answer: (D) 90
Explanation
The pattern follows the product of consecutive integers, n × (n + 1).
For the first pair:
20 = 4 × 5
30 = 5 × 6
For the second pair:
42 = 6 × 7
56 = 7 × 8
Applying the same logic to 72:
72 = 8 × 9
The next number in the sequence is:
9 × 10 = 90
Alternatively, the relation can be expressed as n² + n:
20 = 4² + 4
30 = 5² + 5
42 = 6² + 6
56 = 7² + 7
72 = 8² + 8
The next term is 9² + 9 = 81 + 9 = 90.