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CAT Exam  >  CAT Tests  >  Logical Reasoning (LR) and Data Interpretation (DI)  >  Test: Analogy- 3 - CAT MCQ

Test: Analogy- 3 - CAT MCQ


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20 Questions MCQ Test Logical Reasoning (LR) and Data Interpretation (DI) - Test: Analogy- 3

Test: Analogy- 3 for CAT 2025 is part of Logical Reasoning (LR) and Data Interpretation (DI) preparation. The Test: Analogy- 3 questions and answers have been prepared according to the CAT exam syllabus.The Test: Analogy- 3 MCQs are made for CAT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Analogy- 3 below.
Solutions of Test: Analogy- 3 questions in English are available as part of our Logical Reasoning (LR) and Data Interpretation (DI) for CAT & Test: Analogy- 3 solutions in Hindi for Logical Reasoning (LR) and Data Interpretation (DI) course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Test: Analogy- 3 | 20 questions in 20 minutes | Mock test for CAT preparation | Free important questions MCQ to study Logical Reasoning (LR) and Data Interpretation (DI) for CAT Exam | Download free PDF with solutions
Test: Analogy- 3 - Question 1
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

14 : 9 :: 26 : ?

Detailed Solution for Test: Analogy- 3 - Question 1

The relationship follows the formula x = 2y - 4. For the first pair:

  • 14 = (2 × 9 - 4)

Now, applying this to find y when x = 26:

  • 26 = 2y - 4
  • y = (26 + 4) / 2
  • y = 30 / 2
  • y = 15

Thus, the answer is D) 15.

Test: Analogy- 3 - Question 2
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

MO : 13 11 :: HJ : ?

Detailed Solution for Test: Analogy- 3 - Question 2

In this analogy, subtract the position number of each alphabet from 26.
M ⇒ 26 - 13 = 13
O ⇒ 26 - 15 = 11
⇒ MO : 13 11
Similarly,
H ⇒ 26 - 8 = 18
J ⇒ 26 - 10 = 16
So, right answer is 18 16

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Test: Analogy- 3 - Question 3
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

123 : 132 :: 235 : ?

Detailed Solution for Test: Analogy- 3 - Question 3

As, 123 → 132

As, 235 → 253

The middle digit of first term becomes power to the next term.

Test: Analogy- 3 - Question 4
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

8 : 28 :: 27 : ?
Detailed Solution for Test: Analogy- 3 - Question 4

The logic is x3 : (x+1)3 + 1
                   23 : (2 + 1)3 + 1
                   23 : 33 + 1
                   8  :  28
27 = 33
so next digit (n+1)3 + 1 = (3 + 1)3 + 1 = 64 + 1 = 65

Test: Analogy- 3 - Question 5
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

3 : 12 :: 5 : ?
Detailed Solution for Test: Analogy- 3 - Question 5

Test: Analogy- 3 - Question 6
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

MXN : 13 x 14 :: FXR : ?
Detailed Solution for Test: Analogy- 3 - Question 6

As position of M and N in Eq. alphabets are 13 and 14 respectively.Same position of F and R in Eq. alphabets are 6 and 18 respectively.

Test: Analogy- 3 - Question 7
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

16 : 56 :: 32 : ?
Detailed Solution for Test: Analogy- 3 - Question 7

To solve the analogy problem where the pattern needs to be identified, let’s break it down step-by-step:

The analogy given is: 16 : 56 :: 32 : ?

We need to find the relationship between the numbers 16 and 56 and then apply that relationship to 32 to find the missing number.

  1. Find the relationship between 16 and 56:

    • Step 1: Check the operations or patterns. Consider possible operations like addition, subtraction, multiplication, or division.

    • Step 2: Test if multiplication could be a pattern:

      16×3.5=56

      This works as:

      16×3.5=56

      Thus, multiplying by 3.5 seems to be the pattern.

  2. Apply the same pattern to 32:

    32×3.5=112

    Therefore, according to this pattern, the number that replaces the question mark should be 112.

  3. Verify the other options:

    • 96: This is much larger than expected.
    • 112: Also too large.
    • 121: Similarly, too large.
    • 128: While close, it’s not the result from our multiplication pattern.

Hence, the correct answer is:

112

Test: Analogy- 3 - Question 8
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

4 : 19 :: 7 : ?
Detailed Solution for Test: Analogy- 3 - Question 8

The pattern in the analogy is obtained by squaring the first number and then adding 3 to the result.

  • For the first pair (4 : 19):
    • 42 + 3 = 16 + 3 = 19.
  • Applying the same logic to the second pair (7 : ?):
    • 72 + 3 = 49 + 3 = 52.

Thus, the correct answer is A. 52.

Test: Analogy- 3 - Question 9
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

24 : 60 :: 120 : ?
Detailed Solution for Test: Analogy- 3 - Question 9

1. Simplify the given ratio: The ratio 24:60 simplifies by dividing both terms by their greatest common divisor, which is 12. This gives 2:5.

2. Set up the proportion with the simplified ratio:

  • We want 2:5 to be equivalent to 120:x.
  • This can be written as the equation (24/60) = (120/x).

3. Solve for x:

  • Cross-multiply: 24x = 60 × 120.
  • Calculate 60 × 120 = 7200.
  • Divide both sides by 24: x = 7200/24 = 300.

Thus, the value of x is 300.

Test: Analogy- 3 - Question 10
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

335 : 216 :: 987 : ?
Detailed Solution for Test: Analogy- 3 - Question 10

The relationship between the numbers is based on subtraction. Calculate the difference between 335 and 216, which is 119. Apply this difference to 987 by subtracting 119, resulting in 868.

Step-by-step explanation:

  • Compute the difference: 335 - 216 = 119.
  • Subtract this difference from 987: 987 - 119 = 868.

Thus, the correct answer is A) 868.

Test: Analogy- 3 - Question 11
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

10 : 99 :: 9 : ?
Detailed Solution for Test: Analogy- 3 - Question 11

Test: Analogy- 3 - Question 12
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

8 : 24 :: ? : 32
Detailed Solution for Test: Analogy- 3 - Question 12

The relationship can be determined by multiplying the digits of each number.

  • For 24: 2 × 4 = 8.
  • Applying this to 32: 3 × 2 = 6.

Therefore, the correct answer is B) 6.

Test: Analogy- 3 - Question 13
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

144 : 10 :: 169 : ?
Detailed Solution for Test: Analogy- 3 - Question 13

Sure, let's find the correct answer for the given problem.

144 : 10 :: 169 : ?

- 144 is a perfect square (12²) and its square root is 12.
- 12 is then reduced to 10 by subtracting 2 (12 - 2 = 10).
- Similarly, 169 is a perfect square (13²) and its square root is 13.
- Following the same pattern, subtract 2 from 13 (13 - 2 = 11).

Thus, the correct answer is:

B: 11

- 169 : 11

Test: Analogy- 3 - Question 14
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

9 : 8 :: 16 : ?
Detailed Solution for Test: Analogy- 3 - Question 14

  • 9 (3²) : 8 (2³)

  • 16 (4²) : 27 (3³)

The pattern is: n² : (n-1)³.
So, for 16 (4²), the missing number is 3³ = 27.

Final Answer: a) 27

Test: Analogy- 3 - Question 15
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

In this pyramid number if: 11 22 31 : 12 21 32 :: 9 12 21 : ?
Detailed Solution for Test: Analogy- 3 - Question 15

Exactly—that’s the pattern:

  • The diagonal running through 11 → 22 → 31 shifts one column right to give 12 → 21 → 32.

  • Likewise, the diagonal 9 → 12 → 21, when moved one column right, becomes 8 → 13 → 20.

So the missing trio is 8 13 20.

Test: Analogy- 3 - Question 16
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

25 : 37 :: 49 : ?
Detailed Solution for Test: Analogy- 3 - Question 16

As 25 = (5)2 → (5 + 1)2 + 1 = 37.

As 49 = (7)2 → (7 + 1)2 + 1 = 65.

Test: Analogy- 3 - Question 17
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

K/T : 11/20 :: J/R : ?
Detailed Solution for Test: Analogy- 3 - Question 17

In Eq. alphabets positions of K and T are 11 and 20 respectively.

Similarly positions of J and R are 10 and 18.

Test: Analogy- 3 - Question 18
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

68 : 130 :: ? : 350
Detailed Solution for Test: Analogy- 3 - Question 18

As, 68 = (4)3 + 4

    130 = (5)3 + 5

and 350 = (7)3 + 7

Therefore, ? = (6)3 + 6 = 222

Test: Analogy- 3 - Question 19
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

61 : 121 :: ? : 337
Detailed Solution for Test: Analogy- 3 - Question 19

As, 61 = (4)3 - 3

    121 = (5)3 - 4

and 337 = (7)3 - 6

Therefore, ? = (6)3 - 5 = 211

Test: Analogy- 3 - Question 20
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

27 : 125 :: 64 : ?
Detailed Solution for Test: Analogy- 3 - Question 20

27 → 33; 125 → 53; 64 → 43

Therefore ? = 63 = 216.

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