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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 2024 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 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Analogy- 3 below.
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Test: Analogy- 3 - Question 1

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

14 = (2 x 9 - 4)

26 = (2 x 15 - 4)

Hence, ? = 15

 

Test: Analogy- 3 - Question 2

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

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

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

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

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

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

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

As, (4)2 + 3 = 19

Similarly, (7)2 + 3 = 52

Test: Analogy- 3 - Question 9

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

As 24:60 = (2/5)

Similarly, (120/300) = (2/5)

Test: Analogy- 3 - Question 10

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

As 335 - 216 = 119

Similarly, 987 - X = 119

Therefore, X = 987 - 119 = 868.

Test: Analogy- 3 - Question 11

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

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

24 → 2 x 4 = 8

32 → 3 x 2 = 6

Test: Analogy- 3 - Question 13

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

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 = (3)2

8 = (3 - 1)3

and 16 = (4)2

? = (4 - 1)3 = 27

Test: Analogy- 3 - Question 15

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

If we see diagonally we will get 11 22 31 and the next diagonal series is 12 21 32. Similarly the next diagonal series after 9 12 21 is 8 13 20.

Test: Analogy- 3 - Question 16

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

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

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

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

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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