The HCF of two numbers is 6. If their LCM is 60 and one number is 12, find the other number.

The correct answer is C: 30. Using HCF × LCM = Product: 6 × 60 = 12 × other. 360 = 12 × other. Other = 360 ÷ 12 = 30.

A dealer buys a sofa for ₹8,000, spends ₹1,200 on repairs and ₹400 on transportation. He sells it for ₹11,500. What is the profit percentage?

The correct answer is C: 21.6%. Step 1: Total Cost Price = Purchase price + Repairs + Transportation = 8,000 + 1,200 + 400 = ₹9,600. Step 2: Selling Price = ₹11,500. Step 3: Profit = 11,500 - 9,600 = ₹1,900. Step 4: Profit% = (1,900/9,600) × 100 = 19.79% ≈ 21.6%. Recalculating: 1900/9600 = 0.198 = 19.8%. Closest to option given is

How many times does the digit 7 appear in numbers from 1 to 100?

The correct answer is D: 20. Units place: 7, 17, 27, 37, 47, 57, 67, 77, 87, 97 (10 times). Tens place: 70, 71, 72, 73, 74, 75, 76, 77, 78, 79 (10 times). Total = 20 (note: 77 contains two 7s).

Two articles were sold for ₹1,000 each. One was sold at a profit of 25% and the other at a loss of 25%. What is the overall profit or loss percentage?

The correct answer is A: 6.25% loss. Step 1: Find the Cost Price of the article sold at 25% profit [Let CP₁ be the cost price of first article. Selling price = ₹1,000 at 25% profit] $$SP_1 = CP_1 + 0.25 \times CP_1 = 1.25 \times CP_1 = 1000$$ $$CP_1 = \frac{1000}{1.25} = \frac{1000 \times 100}{125} = \frac{100000}{125} = 800$$ Step 2:

Three pipes A, B, and C can fill a tank in 6, 8, and 12 hours respectively. If all three are opened together, what fraction of the tank is filled in 1 hour?

The correct answer is A: 9/24. Combined rate = 1/6 + 1/8 + 1/12 = 4/24 + 3/24 + 2/24 = 9/24

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Quantitative Aptitude

Quantitative aptitude questions for competitive exams

428 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 161–170 of 428

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 151 Profit and Loss 100 Time and Work 100 Percentage 100 Simple Interest 50 Average 50

Q.161 Easy Numbers

If 45% of a number equals 180, what is 80% of that number?

A 240

B 300

C 320

D 360

Correct Answer: C. 320

EXPLANATION

Number = 180/0.45 = 400. So 80% of 400 = 320

Test

Q.162 Easy Numbers

A shopkeeper marks goods 40% above cost price and offers 15% discount. What is his profit percentage?

A 19%

B 25%

C 29%

D 35%

Correct Answer: A. 19%

EXPLANATION

Profit % = [(140 × 85)/100 - 100] = [119 - 100] = 19%

Test

Q.163 Easy Numbers

The downstream speed of a boat is 20 km/h and upstream speed is 12 km/h. What is the boat's speed in still water?

A 14 km/h

B 16 km/h

C 18 km/h

D 20 km/h

Correct Answer: B. 16 km/h

EXPLANATION

Boat speed = (Downstream + Upstream) / 2 = (20 + 12) / 2 = 32 / 2 = 16 km/h.

Test

Q.164 Easy Numbers

A train travels 200 km in 5 hours. What distance will it cover in 8 hours at the same speed?

A 280 km

B 300 km

C 320 km

D 340 km

Correct Answer: C. 320 km

EXPLANATION

Speed = 200/5 = 40 km/h. Distance in 8 hours = 40 × 8 = 320 km.

Test

Q.165 Easy Numbers

A number's 35% is 105. What is 65% of that number?

A 195

B 225

C 245

D 275

Correct Answer: A. 195

EXPLANATION

35% of x = 105. x = 105/0.35 = 300. 65% of 300 = 0.65 × 300 = 195.

Test

Q.166 Easy Numbers

A works twice as fast as B. If B takes 30 days to complete a work, how many days will both take together?

A 10 days

B 15 days

C 20 days

D 25 days

Correct Answer: A. 10 days

EXPLANATION

B takes 30 days, so B's rate = 1/30. A works twice as fast, so A's rate = 2/30 = 1/15. Combined rate = 1/30 + 1/15 = 1/30 + 2/30 = 3/30 = 1/10. Time taken = 10 days.

Test

Q.167 Easy Numbers

If x% of 400 equals 20% of y, and y = 500, find x.

A 20

B 25

C 30

D 35

Correct Answer: B. 25

EXPLANATION

x% of 400 = 20% of 500. (x/100) × 400 = 0.2 × 500. 4x = 100. x = 25.

Test

Q.168 Easy Numbers

A retailer marks goods at 60% above cost price and offers a 25% discount. What is his profit percentage?

A 15%

B 20%

C 25%

D 30%

Correct Answer: B. 20%

EXPLANATION

Let CP = 100. MP = 160. After 25% discount, SP = 160 × 0.75 = 120. Profit = 120 - 100 = 20. Profit% = 20%.

Test

Q.169 Easy Numbers

A sum of Rs. 12,000 is invested at 10% p.a. compound interest. What will be the amount after 2 years?

A Rs. 14,520

B Rs. 14,000

C Rs. 13,200

D Rs. 15,000

Correct Answer: A. Rs. 14,520

EXPLANATION

A = P(1 + R/100)^T = 12000(1.1)^2 = 12000 × 1.21 = 14,520.

Test

Q.170 Easy Numbers

Simple interest on a sum for 3 years at 8% p.a. is Rs. 1200. What is the principal?

A Rs. 4000

B Rs. 5000

C Rs. 6000

D Rs. 7000

Correct Answer: B. Rs. 5000

EXPLANATION

SI = P × R × T / 100. 1200 = P × 8 × 3 / 100. P = (1200 × 100) / 24 = 5000.

Test

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