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

Last updated on Jun 14, 2025

Quant based puzzles are the type of questions which more often overlaps with the type of questions asked in Quantitative aptitude.The questions asked are based on the topics like percentage, ratio proportion, Number system, Linear equation in two/more variables. At first we should have a clear understanding of concepts involving usage of percentage,ratios,numbers,calculations,equations along with some other fundamentals concepts of mathematics. We should practice as many questions based on this topic in order to strengthen our grip on such questions. Following are the questions given for practice.

Latest Quant Based Puzzle MCQ Objective Questions

Quant Based Puzzle Question 1:

A man is four times as old as his son. Twenty years later he will be just twice as old as his son. Find their present ages.

  1. 40 - 10 years 
  2. 30 - 10 years
  3. 80 - 20 years
  4. 30 - 20 years
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : 40 - 10 years 

Quant Based Puzzle Question 1 Detailed Solution

Let the present age of the man be M and the present age of the son be S.
Then,
M = 4S     --- (i)
After 20 years,
(M + 20) = 2(S + 20)   --- (ii)
⇒ M + 20 = 2S + 40 
On substituting the value of M according to equation (i), we get:
⇒ 4S + 20 = 2S + 40
⇒ 4S - 2S = 40 - 20
⇒ 2S = 20
⇒ S = 10 years
If we substitute the value of S in equation (i), we get:
M = 40 years

Hence, the present age of the man and his son is 40 years and 10 years respectively.

Quant Based Puzzle Question 2:

Ana is a girl and has the same number of brothers as sisters. Andrew is a boy and has twice as many sisters as brothers. Ana and Andrew are the children of Emma. How many children does Emma have?

  1. 2
  2. 3
  3. 5
  4. 7
  5. None of the above

Answer (Detailed Solution Below)

Option 4 : 7

Quant Based Puzzle Question 2 Detailed Solution

Given:

Let boys = B and girl = G

Therefore, Emma has = G + B children

Ana is a girl and has the same number of brothers as sisters.

Therefore, excluding Ana,

G - 1 = B ........(1)

Andrew is a boy and has twice as many sisters as brothers.

Therefore, excluding Andrew,

2(B -1) = G

2B - 2 = G  .........(2)

By equation (1) and (2)

B = 3 and G = 4

Hence, the number of children Emma have is 7.

Quant Based Puzzle Question 3:

Find the number whose digit's product is twice the sum of its digits.

  1. 18
  2. 22
  3. 36
  4. 45
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : 36

Quant Based Puzzle Question 3 Detailed Solution

Checking with the options we get,

In option (3)

Sum of the digits of 36 = 3 + 6 = 9

Twice the sum of 36's digits = 2 (3 + 6) = 2 × 9

= 18

Product of the digit 36 = 3 × 6

= 18

Here product (18) is twice of sum (9).

So, 36 is the number whose digits product is twice the sum of its digits.

Hence, ‘36’ is the correct answer.

Quant Based Puzzle Question 4:

A trader bought a suit piece for Rs. x, and sold it at a profit of 20%. What is the value of x, if he sold the suit piece for Rs.720?

  1. Rs.600
  2. Rs.580
  3. Rs.540
  4. Rs.560
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : Rs.600

Quant Based Puzzle Question 4 Detailed Solution

Given:

Cost price = X

Selling price = 720

Profit = 20%

Solution:

Cost price = X = 100%

Selling price = 120% = 720

then:

1% = 6

100% = X = 600

The value of X is 600.

Hence, the correct answer is "600".

Quant Based Puzzle Question 5:

When a number is subtracted from the square of 25, it becomes 124 times of the number. Find the number.

  1. 25
  2. 15
  3. 5
  4. 10
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : 5

Quant Based Puzzle Question 5 Detailed Solution

Let the number be a.

According to question:

252 - a = 124a

⇒ 625 - a = 124a

⇒ 625 = 124a + a

⇒ 625 = 125a

⇒ 625/125 = a

⇒ 5 = a

Hence, '5' is the correct answer.

Top Quant Based Puzzle MCQ Objective Questions

Three-fifths of my current age is the same as five-sixths of that of one of my cousins’. My age ten years ago will be his age four years hence. My current age is ______ years.

  1. 55
  2. 45
  3. 60
  4. 50

Answer (Detailed Solution Below)

Option 4 : 50

Quant Based Puzzle Question 6 Detailed Solution

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Let my current age = x years and my cousin’s age = y years.

Three-fifths of my current age is the same as five-sixths of that of one of my cousins’,

⇒ 3x/5 = 5y/6

⇒ 18x = 25y

My age ten years ago will be his age four years hence,

⇒ x – 10 = y + 4

⇒ y = x – 14,

⇒ 18x = 25(x – 14)

⇒ 18x = 25x – 350

⇒ 7x = 350

∴ x = 50 years

Mohit and Sudesh bought pens and notebooks from the same shop. Mohit bought 3 pens and 6 notebooks by paying an amount of Rs. 180. Sudesh bought 5 pens and 2 notebooks by paying an amount of Rs. 116. How much did Mohit spend on buying notebooks? 

  1. Rs. 84
  2. Rs. 115
  3. Rs. 138
  4. Rs. 122

Answer (Detailed Solution Below)

Option 3 : Rs. 138

Quant Based Puzzle Question 7 Detailed Solution

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Let,

Price of one pen = x

Price of one notebook = y

Given:

1) Mohit bought 3 pens and 6 notebooks by paying an amount of Rs. 180

=> 3x + 6y = 180

=> 3x = 180 – 6y

=> x = (180 – 6y) ÷ 3

=> x = 60 – 2y --------------- (i)

2) Sudesh bought 5 pens and 2 notebooks by paying an amount of Rs. 116

=> 5x + 2y = 116

Putting the value of x from eq (i)

=> 5(60 – 2y) + 2y = 116

=> 300 – 10y + 2y = 116

=> 300 – 116 = 10y – 2y

=> 8y = 184

=> y = 23

Mohit spend on buying 6 notebooks

=> 6y = 6 × 23 = 138

Hence, Mohit spend Rs. 138” on buying notebooks.

Ages of father and son add up to 50. Six years back father's age was 6 more than thrice his son's age. What will be the father's age 6 years hence?

  1. 40 years
  2. 42 years
  3. 50 years
  4. 48 years

Answer (Detailed Solution Below)

Option 2 : 42 years

Quant Based Puzzle Question 8 Detailed Solution

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Let the age of father be F and that of son be S.

F + S = 50 (Given)

S = 50 – F     _____ (i)

Six years back father's age was 6 more than thrice his son's age.

According to problem:

(F – 6) = 3(S – 6) + 6     _____ (ii)

Substituting the value of equation (i) in (ii), we get:

F – 6 = 3(50 – F – 6) + 6

⇒ F – 6 = 3(44 – F) + 6

⇒ F – 6 = 132 – 3F + 6

⇒ F + 3F = 132 + 6 + 6

⇒ 4F = 144

⇒ F = 144/4

⇒ F = 36

So, father's age 6 years hence = (36 + 6) = 42

Hence, ‘42’ is the correct answer.

The weights of three boxes are 3 kg, 8 kg and 12 kg. Which of the following CANNOT be the total weight, in kg, of any combination of these boxes?

  1. 15
  2. 20
  3. 23
  4. 21

Answer (Detailed Solution Below)

Option 4 : 21

Quant Based Puzzle Question 9 Detailed Solution

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The logic followed here is:

1) 15 → 12 + 3 = 15 kg

2) 20 → 12 + 8 = 20 kg

3) 23 → 12 + 8 + 3 = 23 kg

4) 21 → It CANNOT be the total weight, in kg, of any combination of these boxes.

Hence, ‘21’ is the correct answer.

In a group of bulls and hens, the number of legs is 48 more than twice the number of heads. The number of bulls is ________.

  1. 50
  2. 48
  3. 26
  4. 24

Answer (Detailed Solution Below)

Option 4 : 24

Quant Based Puzzle Question 10 Detailed Solution

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Let the number of bulls be ‘a’ and the number of hens be ‘b’.

So, the total numbers of heads are (a + b) and total numbers of legs are (4a + 2b).

According to question:

(4a + 2b) = 2(a + b) + 48

4a + 2b = 2a + 2b + 48

4a + 2b – 2a – 2b = 48

2a = 48

a = 24

So, the number of bulls is 24.

Hence, ‘24’ is the correct answer.

A side of a square-shaped park is 12 m. If a square-shaped garden with a side of 24 m is developed around the park, what will be the total area of the park including the garden?

  1. 324 m2
  2. 576 m2
  3. 288 m2
  4. 144 m2

Answer (Detailed Solution Below)

Option 2 : 576 m2

Quant Based Puzzle Question 11 Detailed Solution

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Given:

A side of a square-shaped park is 12 m.

  • If a square-shaped garden with a side of 24 m is developed around the park, then the garden with the park will look like the picture below:

Formula:

Area of square = Side × Side

Calculation:

=> Total area of the park including the garden = Area of the outer square = 24 × 24

=> Area of square = 576 m2

Hence, the total area of the park including the garden is 576 m2.

Seven years from now, Anamika will be as old as Malini was 4 years ago. Srinidhi was born 2 years ago. The average age of Anamika, Malini and Srinidhi 10 years from now will be 33 years. What is the present age of Anamika?

  1. 30 years
  2. 29 years
  3. 28 years
  4. 31 years

Answer (Detailed Solution Below)

Option 3 : 28 years

Quant Based Puzzle Question 12 Detailed Solution

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Let the present age of Anamika be A, Malini be M and that of Srinidhi be S.

The, according to the question:

1) Seven years from now, Anamika will be as old as Malini was 4 years ago. 

A + 7 = M - 4

⇒ M = A + 11

S = 2 years

And, 

2) Srinidhi was born 2 years ago. The average age of Anamika, Malini and Srinidhi 10 years from now will be 33 years.

A + M + S = 99 - 30

A + M + S = 69 

Now, by substituting the above values,

A + (A + 11) + 2 = 69 

2A + 13 = 69

A = 56 ÷ 2

A = 28 years

Hence, the present age of Anamika is 28 years is the correct answer.

Out of the total number of players, 100/3% are in hotel X and the remaining are in hotel Y. If 20 players from hotel Y are shifted to hotel X, then the number of players in hotel X becomes 50% of the total number of players. If 20 players from hotel X are shifted to hotel Y, then the number of players in hotel X becomes what per cent of the total number of players?

  1. 20.67%
  2. 16.67%
  3. 26.34%
  4. 12.75%

Answer (Detailed Solution Below)

Option 2 : 16.67%

Quant Based Puzzle Question 13 Detailed Solution

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Let total players = A

Players in Hotel X = 100/3% of A = A/3

Players in Hotel Y = A - A/3 = 2A/3

According to question:

A/3 + 20 = 50/100 × A

⇒ A/3 + 20 = A/2

⇒ A/2 - A/3 = 20

⇒ A/6 = 20

⇒ A = 20 × 6

⇒ A = 120

Now, Players in Hostel X = 120/3 = 40 

Players in Hostel Y = 120 - 40 = 80

Now, if 20 players from hotel X are shifted to hotel Y, then the number of players in hotel X becomes,

= 40 - 20 = 20

And the number of players in hotel X becomes what percent of the total number of players:

20/120 × 100

= 16.67%

Hence, ‘16.67%’ is the correct answer.

Six years ago the ratio of ages of P and Q was 6 : 5. Four years hence, it will be 11 : 10. What is the age of P now?

  1. 18 years
  2. 25 years
  3. 20 years
  4. 16 years

Answer (Detailed Solution Below)

Option 1 : 18 years

Quant Based Puzzle Question 14 Detailed Solution

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Let, the age of P and Q be measured in terms of ‘a’.

Six years ago the ratio of ages of P and Q was 6 : 5.

So, six years ago, P was 6a years old and Q was 5a years old.

Therefore, present age of P is (6a + 6) and present age of Q is (5a + 6).

Four years hence, it will be 11 : 10.

According to question:

[(6a + 6) + 4]/[(5a + 6) + 4] = 11/10

On solving, we get the value of a is 2.

So, the present age of P = (6a + 6) = (6 × 2 + 6) = 18 years.

Hence, ‘18’ is the correct answer.

A fruit shop consists of only two types of fruits namely oranges and mangoes. The number of oranges is three times the number of mangoes. Which of the following numbers CANNOT represent the total number of fruits in the shop?

  1. 44
  2. 42
  3. 48
  4. 40

Answer (Detailed Solution Below)

Option 2 : 42

Quant Based Puzzle Question 15 Detailed Solution

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Given fruit shop consists of two types of fruits i.e., Oranges and Mangoes

The number of oranges is three times the number of mangoes :

⇒ oranges = 3 × mangoes

⇒ oranges/mangoes = 3/1

Total ration of oranges and mangoes = 3 + 1 = 4

Total number of fruits = oranges + mangoes

Total number of fruits = 3 × mangoes + mangoes

Total number of fruits = 4 × mangoes

1) Consider total number of fruits = 44

⇒ 44 = 4 × mangoes

⇒ mangoes = 11

⇒ oranges = 3 × mangoes = 3 × 11 = 33

2) Consider total number of fruits = 42

⇒ 42 = 4 × mangoes

42 is not divisible by 4 so, 42 cannot the total number of fruits in the shop.

3) Consider total number of fruits = 48

⇒ 48 = 4 × mangoes

⇒ mangoes = 12

⇒ oranges = 3 × mangoes = 3 × 12 = 36

4) Consider total number of fruits = 40

⇒ 40 = 4 × mangoes

⇒ mangoes = 10

⇒ oranges = 3 × mangoes = 3 × 10 = 30

∴ Here, 'Total number of fruits in shop cannot be 42'.

Hence, the correct answer is "42".

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