The average of 6 numbers is 18. If 3 more numbers with an average of 24 are added, what is the new average?

The correct answer is A: 20. Sum of 6 numbers = 6 × 18 = 108. Sum of 3 numbers = 3 × 24 = 72. Total sum = 180. Total numbers = 9. New average = 180/9 = 20.

A merchant's cost price is Rs. 800. He marks 40% above CP and gives 25% discount. His profit/loss percent is?

The correct answer is A: 5% profit. MP = 800 × 1.4 = 1120. SP = 1120 × 0.75 = 840. Profit = (840-800)/800 × 100 = 5%

If x is a natural number such that 6^x ÷ 216 = 6, what is x?

The correct answer is C: 4. # Solution: Finding the Value of x Using Exponent Laws **To solve exponential equations, express all terms with the same base and apply exponent division rules.** **Step 1: Express 216 as a Power of 6** We need to rewrite 216 in terms of base 6 to simplify the equation. $$216 = 6^3 \text{ (since } 6

A man invests Rs. 4000 for 3 years. Part at 5% and remaining at 7% p.a. simple interest. Total interest = Rs. 820. Amount at 5%?

The correct answer is C: Rs. 2500. Let amount at 5% = x. Then (x × 5 × 3)/100 + ((4000-x) × 7 × 3)/100 = 820. Solving: x = 2500

If a = 2^4 × 3^3 × 5 and b = 2^3 × 3^2 × 5^2, find HCF(a,b).

The correct answer is A: 2^3 × 3^2 × 5. HCF takes minimum power of each prime: HCF = 2^min(4,3) × 3^min(3,2) × 5^min(1,2) = 2^3 × 3^2 × 5.

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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 101–110 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.101 Easy Numbers

Two numbers are in the ratio 5:8. If their sum is 130, find the larger number.

A 50

B 80

C 100

D 120

Correct Answer: B. 80

EXPLANATION

Let numbers be 5x and 8x. 5x + 8x = 130, 13x = 130, x = 10. Larger number = 8 × 10 = 80

Test

Q.102 Easy Numbers

A shopkeeper buys an item for Rs. 400 and sells it at a profit of 35%. What is the selling price?

A Rs. 525

B Rs. 535

C Rs. 540

D Rs. 560

Correct Answer: C. Rs. 540

EXPLANATION

SP = CP + Profit = 400 + (35% of 400) = 400 + 140 = Rs. 540

Test

Q.103 Easy Numbers

If the ratio of boys to girls in a class is 3:2 and there are 45 boys, how many girls are there?

A 25

B 30

C 35

D 40

Correct Answer: B. 30

EXPLANATION

Boys:Girls = 3:2. If boys = 45, then 3x = 45, x = 15. Girls = 2x = 30

Test

Q.104 Easy Numbers

A number is increased by 25% and then decreased by 20%. What is the net percentage change?

A 0%

B 5%

C 10%

D -5%

Correct Answer: A. 0%

EXPLANATION

Let number = 100. After 25% increase: 125. After 20% decrease on 125: 125 × 0.8 = 100. Net change = 0%

Test

Q.105 Easy Numbers

A shopkeeper bought goods for Rs. 5000 and sold at a profit of 20%. What is the selling price?

A Rs. 5500

B Rs. 6000

C Rs. 6500

D Rs. 7000

Correct Answer: B. Rs. 6000

EXPLANATION

SP = 5000 + 20% of 5000 = 5000 + 1000 = 6000.

Test

Q.106 Easy Numbers

Two workers A and B can complete a job in 8 days and 12 days respectively. In how many days can they complete it working together?

A 4.8 days

B 5.2 days

C 6 days

D 7.2 days

Correct Answer: A. 4.8 days

EXPLANATION

Combined rate = 1/8 + 1/12 = 5/24. Time = 24/5 = 4.8 days.

Test

Q.107 Easy Numbers

A man earns Rs. 500 more per month than a woman. If together they earn Rs. 4500 per month, how much does the man earn?

A Rs. 2000

B Rs. 2250

C Rs. 2500

D Rs. 2750

Correct Answer: C. Rs. 2500

EXPLANATION

Let woman's salary = x. Man's salary = x + 500. x + x + 500 = 4500. x = 2000. Man earns Rs. 2500.

Test

Q.108 Easy Numbers

If the price of rice increases by 25%, by what percentage should consumption decrease to keep expenditure constant?

A 15%

B 20%

C 25%

D 30%

Correct Answer: B. 20%

EXPLANATION

Let original price = 100, consumption = 100. New price = 125. For constant expenditure, consumption = 10000/125 = 80. Decrease = 20%.

Test

Q.109 Easy Numbers

Simple interest on Rs. 8000 at 12% per annum for 2.5 years is:

A Rs. 2400

B Rs. 2800

C Rs. 3000

D Rs. 3200

Correct Answer: A. Rs. 2400

EXPLANATION

Simple interest is calculated as a percentage of the principal amount and remains constant throughout the investment period.

Step 1: [Identify the Given Values]

We need to extract all the information from the problem before applying the formula.

\text{Principal (P)} = \text{Rs. } 8000

\text{Rate (R)} = 12\% \text{ per annum}

\text{Time (T)} = 2.5 \text{ years}

Step 2: [Apply the Simple Interest Formula]

The simple interest formula calculates the interest earned based on principal, rate, and time.

\text{Simple Interest (SI)} = \frac{P \times R \times T}{100}

\text{SI} = \frac{8000 \times 12 \times 2.5}{100}

\text{SI} = \frac{240000}{100} = \text{Rs. } 2400

The simple interest on Rs. 8000 at 12% per annum for 2.5 years is Rs. 2400.

Test

Q.110 Easy Numbers

A boat travels 48 km upstream in 6 hours and 48 km downstream in 4 hours. What is the speed of the boat in still water?

A 8 km/h

B 10 km/h

C 12 km/h

D 14 km/h

Correct Answer: B. 10 km/h

EXPLANATION

Upstream speed = 8 km/h, Downstream speed = 12 km/h. Boat speed = (8+12)/2 = 10 km/h.

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