Ratio Based MCQ Quiz - Objective Question with Answer for Ratio Based - Download Free PDF

Last updated on Jun 13, 2025

Latest Ratio Based MCQ Objective Questions

Ratio Based Question 1:

Select the option that is related to the third number in the same way as the second number is related to the first number.

13 : 170 :: 15 : ?

  1. 450
  2. 578
  3. 226
  4. 235

Answer (Detailed Solution Below)

Option 3 : 226

Ratio Based Question 1 Detailed Solution

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The logic followed here is:

Logic: (1st number)2 + 1 = 2nd number.

Now,

For, 13 : 170

⇒ (13)2 + 1 = 169 + 1 = 170.

Similarly, for 15 ∶ ?

⇒ (15)2 + 1 = 225 + 1 = 226.

Hence, the correct answer is "Option 3".

Ratio Based Question 2:

Select the option at the place of (?) that is related to the third number in the same way as the second number is related to the first number.

12: 60 :: 16 : ?

  1. 112
  2. 122
  3. 210
  4. 212

Answer (Detailed Solution Below)

Option 1 : 112

Ratio Based Question 2 Detailed Solution

The logic followed here is:

Logic: Second number = First number x (First number / 2 - 1).

Now,

For, 12 : 60

⇒ 12 x (12 / 2 - 1) = 12 (6 - 1) = 12 5 = 60.

Similarly, for 16 ∶ ?

⇒ 16 x (16 / 2 - 1) = 16 (8 - 1) = 16 7 = 112.

Hence, the correct answer is "Option 1".

Ratio Based Question 3:

Choose the correct option whose group numbers follow the same pattern as that of the pattern in two groups of numbers given in the question.

11 : 121 : 110 :: 15 : 225 : 210 ::

  1. 9:81:70
  2. 19:361:342
  3. 17:288:272
  4. 16:225:239

Answer (Detailed Solution Below)

Option 2 : 19:361:342

Ratio Based Question 3 Detailed Solution

The logic followed here is:

11 : 121 : 110 → 121 - 11 = 110

And,

15 : 225 : 210 → 225 - 15 = 210

So, checking each option one by one:

Option 1) 9:81:70 → 81 - 9 = 72 ≠ 70

Option 2) 19:361:342 → 361 - 19 = 342

Option 3) 17:288:272 → 288 - 17 = 271 ≠ 272

Option 4) 16:225:239 → 225 - 16 = 209 ≠ 239

Hence, "Option 2" is the correct answer.

Ratio Based Question 4:

Select the related number from the given alternatives.
444 : 21 :: 964 : ?

  1. 31
  2. 41
  3. 24
  4. 29

Answer (Detailed Solution Below)

Option 1 : 31

Ratio Based Question 4 Detailed Solution

The logic followed here is:

444 : 21

√(444 - 3) = 21

√(441) = 21

21 = 21 (LHS = RHS)

Similarly,

964 : ?

√(964 - 3) = ?

√(961) = ?

31 = ?

Hence, "Option 1" is the correct answer.

Ratio Based Question 5:

2 : 11 :: 3 : ________

  1. 30
  2. 45
  3. 33
  4. 31

Answer (Detailed Solution Below)

Option 1 : 30

Ratio Based Question 5 Detailed Solution

The logic followed here is:

2 : 11

23 + 3 = 11

8 + 3 = 11

11 = 11 (LHS = RHS)

Similarly,

3 : __

33 + 3 = ?

27 + 3 = ?

30 = ?

Hence, "Option 1" is the correct answer.

Top Ratio Based MCQ Objective Questions

Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.

7 : 25 :: 4 : 4 :: 3 : ?

  1. 5
  2. 4
  3. 1
  4. 7

Answer (Detailed Solution Below)

Option 3 : 1

Ratio Based Question 6 Detailed Solution

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The pattern followed here is:

Logic: (First number - 2)2 : Second number.

1) 7 : 25

⇒ (7 - 2)2 ⇒ (5)2 ⇒ 25

And,

2) 4 : 4

⇒ (4 - 2)2 ⇒ (2)2 ⇒ 4

Similarly,

3) 3 : ?

⇒ (3 - 2)2 ⇒ (1)2 ⇒ 1

Hence, the correct answer is "1".

Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.

DKLH : GPSQ :: FRLP : ?

  1. IWSY
  2. JWRY
  3. JWSY
  4. IWRZ

Answer (Detailed Solution Below)

Option 1 : IWSY

Ratio Based Question 7 Detailed Solution

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The logic followed here is :-

62410053d076925f4146cd0e 16493604216151

DKLH : GPSQ

F2 SSC Savita 2-5-22 D46

Similarly,

FRLP : ?

F2 SSC Savita 2-5-22 D47

Hence, the correct answer is "IWSY".

Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.

XPF : DLV :: VAN : FAN :: ERY : ?

  1. VIC
  2. WJC
  3. VJC
  4. WIC

Answer (Detailed Solution Below)

Option 2 : WJC

Ratio Based Question 8 Detailed Solution

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The logic followed here is:

alpha teb (1)

F1 SSC Priya 04-01-24 D1

F2 SSC Priya 10-01-24 D1
Similarly,

F2 SSC PriyaS 10-01-24 D2
Hence, 'WJC' is the correct answer.

Select the option that is related to the fifth letter - cluster in the same way as the second letter - cluster is related to the fourth letter - cluster is related to the third letter - cluster.

COOK : DQPM :: DOWN : EQXP :: ONLY :?

  1. PPMA
  2. PPMB
  3. PQMA
  4. PQMB

Answer (Detailed Solution Below)

Option 1 : PPMA

Ratio Based Question 9 Detailed Solution

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The position of the English alphabet series is given below:

qImage101

1) COOK : DQPM

F1 SSC Amit A 27-02-2023 D43

And,

2) DOWN : EQXP

F1 SSC Amit A 27-02-2023 D44

Similarly,

3) ONLY : ?

F1 SSC Amit A 27-02-2023 D45

Hence, the correct answer is "PPMA".

Find a pair that is similar to 2401 ∶ 343. 

  1. 216 ∶ 1916
  2. 256 ∶ 64
  3. 9 ∶ 27
  4. 3 ∶ 24

Answer (Detailed Solution Below)

Option 2 : 256 ∶ 64

Ratio Based Question 10 Detailed Solution

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The logic followed here is:

Logic: x4 : x3

2401 ∶ 343. 

74 : 73

Similarly,

Option 2) 256 ∶ 64

44 : 43

Thus, 256 ∶ 64 follow same logic.

Hence, the correct answer is "Option 2".

Replace the question mark with an option that follows the same logic applied in the first pair.
961:2::721: ?

  1. 4
  2. 2
  3. 1
  4. 3

Answer (Detailed Solution Below)

Option 1 : 4

Ratio Based Question 11 Detailed Solution

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The logic followed here is:

961:2

9 - (6 + 1) = 2

9 - 7 = 2

2 = 2 (LHS = RHS)

And,

721: ?

7 - (2 + 1) = ?

7 - 3 = ?

4 = ?

Hence, "Option 1" is the correct answer.

Select the option at the place of (?) that is related to the third number in the same way as the second number is related to the first number.

12: 60 :: 16 : ?

  1. 112
  2. 122
  3. 210
  4. 212

Answer (Detailed Solution Below)

Option 1 : 112

Ratio Based Question 12 Detailed Solution

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The logic followed here is:

Logic: Second number = First number x (First number / 2 - 1).

Now,

For, 12 : 60

⇒ 12 x (12 / 2 - 1) = 12 (6 - 1) = 12 5 = 60.

Similarly, for 16 ∶ ?

⇒ 16 x (16 / 2 - 1) = 16 (8 - 1) = 16 7 = 112.

Hence, the correct answer is "Option 1".

In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?

(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.)

X : 44 :: 72 : Y

  1. X = 62, Y = 34
  2. X = 66, Y = 32
  3. X = 74, Y = 48
  4. X = 68, Y = 46

Answer (Detailed Solution Below)

Option 4 : X = 68, Y = 46

Ratio Based Question 13 Detailed Solution

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The logic followed here is:

Logic: (1st number ÷ 2) + 10 = 2nd number.

X : 44 :: 72 : Y

For value of X.

X : 44

→ (X ÷ 2) + 10  = 44

→ (X ÷ 2) = 44 - 10

→ X = 34 × 2

→ X = 68 

Now for value of Y.

72 : Y

→ (72 ÷ 2) + 10

→ 36 + 10

→ 46.

Thus, value of X is 68 and value of Y is 46.

Hence, the correct answer is "Option 4".

In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?

(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.)

X : 18.8 :: 21 : Y

  1. X = 20, Y = 26.8
  2. X = 17, Y = 22.6
  3. X = 11, Y = 29.4
  4. X = 15, Y = 24.8

Answer (Detailed Solution Below)

Option 4 : X = 15, Y = 24.8

Ratio Based Question 14 Detailed Solution

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The logic followed here is:

Logic: 1st number + 3.8 = 2nd  number.

X : 18.8 :: 21 : Y

For, X

X : 18.8

→ X + 3.8 = 18.8

→ X = 18.8 - 3.8

→ X = 15

Now, for Y

 21 : Y

→ 21 + 3.8 = Y

→ 24.8 = Y

Thus, Value of X is 15 and Value of Y is 24.8.

Hence, the correct answer is "Option 4".

Which of the following characters must replace # and % in ' so that the pattern and relationship followed between the character pair on the left side of :: is the same as that on the right side of ::? # : LNK :: SUR : %

  1. 1) # = PRO, % = OQN
  2. 2) # = PRO, % = OQM
  3. 3) # = PRN, % = OQN
  4. 4) # = PRO, % = ORN

Answer (Detailed Solution Below)

Option 1 : 1) # = PRO, % = OQN

Ratio Based Question 15 Detailed Solution

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Given:

Logic: Letter - 4.

# to LNK:

Let # be PQR 

P to L: -4

R to N: -4

O to K: -4

Now apply this to SUR to find %:

S (19) - 4 = 15 (O)

U (21) - 4 = 17 (Q)

R (18) - 4 = 14 (N)

% = OQN.

Thus, # = PRO, % = OQN

Hence, the correct answer is "Option 1".

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