The average age of 5 friends is 24 years. If one friend leaves the group, the average age becomes 22 years. What is the age of the friend who left?

The correct answer is A: 32 years. Sum of 5 friends = 5 × 24 = 120. Sum of 4 friends = 4 × 22 = 88. Age of friend who left = 120 - 88 = 32 years.

A computer shop buys laptops at ₹35,000 each. To clear old stock, the owner marks them at 20% above cost and gives a discount of 25% on marked price. What is the overall loss percentage?

The correct answer is C: 10%. Step 1: Cost Price = ₹35,000. Step 2: Marked Price = 35,000 + 20% of 35,000 = ₹42,000. Step 3: Discount = 25% of 42,000 = ₹10,500. Step 4: Selling Price = 42,000 - 10,500 = ₹31,500. Step 5: Loss = 35,000 - 31,500 = ₹3,500. Step 6: Loss% = (3,500/35,000) × 100 = 10%. So option C is correct.

A man buys bananas at ₹30 per dozen and sells them at ₹3 per banana. What is his profit percentage?

The correct answer is C: 20%. CP per banana = 30/12 = 2.5. SP per banana = 3. Profit = 0.5. Percentage = (0.5/2.5) × 100 = 20%

If the HCF of two numbers is 18 and their LCM is 324, one number is 36. The other number is:

The correct answer is A: 162. HCF × LCM = Product of numbers. 18 × 324 = 36 × other. Therefore, other = 5832 ÷ 36 = 162.

A dealer offers successive discounts of 15% and 10% on an item marked at ₹2000. He still makes a profit of 20% on the cost price. What is the cost price of the item?

The correct answer is B: ₹1300. Step 1: After 15% discount: 2000 - (15% of 2000) = 2000 - 300 = ₹1700. Step 2: After 10% discount on ₹1700: 1700 - (10% of 1700) = 1700 - 170 = ₹1530. Step 3: This is the SP. If profit is 20%, then SP = CP × 1.2, so 1530 = CP × 1.2. Step 4: CP = 1530/1.2 = ₹1275 ≈ ₹1300. So option B is correct.

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Quantitative Aptitude
Numbers

Quantitative aptitude questions for competitive exams

196 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 121–130 of 196

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 150 Profit and Loss 102 Time and Work 101 Percentage 101 Simple Interest 50 Average 48

Q.121 Easy Numbers

A shopkeeper marks goods 40% above cost price and gives a discount of 20%. What is his profit percentage?

A 12%

B 20%

C 18%

D 15%

Correct Answer: A. 12%

EXPLANATION

SP = MP × (100-discount%)/100 = CP × 1.4 × 0.8 = 1.12CP. Profit% = 12%

Test

Q.122 Easy Numbers

Find the value of (2⁵ × 3⁴)/(2³ × 3²).

A 18

B 36

C 54

D 72

Correct Answer: B. 36

EXPLANATION

Using exponent rules: (2⁵ × 3⁴)/(2³ × 3²) = 2^(5-3) × 3^(4-2) = 2² × 3² = 4 × 9 = 36.

Test

Q.123 Easy Numbers

If the sum of digits of a number is divisible by 3, then the number is divisible by 3. Which of the following is divisible by 3?

A 121

B 122

C 123

D 124

Correct Answer: C. 123

EXPLANATION

Check sum of digits: 121: 1+2+1 = 4 (not divisible by 3), 122: 1+2+2 = 5 (not divisible by 3), 123: 1+2+3 = 6 (divisible by 3) ✓, 124: 1+2+4 = 7 (not divisible by 3). Therefore 123 is divisible by 3.

Test

Q.124 Easy Numbers

Find the HCF of 48, 64, and 80.

A 8

B 12

C 16

D 20

Correct Answer: C. 16

EXPLANATION

Prime factorization: 48 = 2⁴ × 3, 64 = 2⁶, 80 = 2⁴ × 5. HCF is the product of lowest powers of common prime factors. Only 2 is common to all. Lowest power of 2 is 2⁴ = 16. Therefore, HCF = 16.

Test

Q.125 Easy Numbers

Which of the following is a perfect cube?

A 125

B 100

C 144

D 200

Correct Answer: A. 125

EXPLANATION

Check each option: 125 = 5³ (perfect cube) ✓, 100 = 10² (not a perfect cube), 144 = 12² (not a perfect cube), 200 = 8 × 25 (not a perfect cube). Answer is 125.

Test

Q.126 Easy Numbers

A number when multiplied by 5 and then divided by 12 gives 20. What is the number?

A 38

B 42

C 48

D 52

Correct Answer: C. 48

EXPLANATION

Let the number be x. According to problem: (5x)/12 = 20. Solving: 5x = 240, thus x = 48

Test

Q.127 Easy Numbers

If x and y are consecutive even numbers and x < y, and their sum is 66, what is the value of x?

A 30

B 32

C 33

D 34

Correct Answer: B. 32

EXPLANATION

Let x and y be consecutive even numbers with x < y. Then y = x + 2. Given: x + y = 66, so x + (x+2) = 66, giving 2x + 2 = 66, thus 2x = 64, and x = 32

Test

Q.128 Easy Numbers

What is the largest 2-digit prime number?

A 91

B 93

C 97

D 99

Correct Answer: C. 97

EXPLANATION

Check from 99 backwards: 99=9×11 (not prime), 98=2×49 (not prime), 97 is only divisible by 1 and 97 (prime). Therefore 97 is the largest 2-digit prime

Test

Q.129 Easy Numbers

If a number when divided by 7 gives quotient 12 and remainder 5, what is the number?

A 79

B 84

C 89

D 94

Correct Answer: C. 89

EXPLANATION

Using division algorithm: Dividend = (Divisor × Quotient) + Remainder. Number = 7 × 12 + 5 = 84 + 5 = 89

Test

Q.130 Easy Numbers

What is the sum of first 50 natural numbers?

A 1250

B 1275

C 2500

D 2550

Correct Answer: B. 1275

EXPLANATION

Sum of first n natural numbers = n(n+1)/2. For n=50: Sum = 50(51)/2 = 2550/2 = 1275

Test

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