A man covers 120 km in 8 hours partly by train at 20 km/h and partly by bus at 12 km/h. Distance by train?

The correct answer is B: 60 km. Let train distance = x. Then x/20 + (120-x)/12 = 8. Solving: 3x + 5(120-x) = 480. x = 60

A borrowed ₹5,000 from B at 8% simple interest for 3 years. A then lent this to C at 10% for 3 years. What is A's profit?

The correct answer is B: ₹300. SI paid by A = (5000 × 8 × 3)/100 = 1200. SI received by A = (5000 × 10 × 3)/100 = 1500. Profit = 1500 - 1200 = 300

A man's income increases by 25%. If his new income is ₹62,500, what was his original income?

The correct answer is B: ₹50,000. New income = Original × 1.25. 62,500 = Original × 1.25. Original = 62,500/1.25 = ₹50,000

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 train travels 360 km in 6 hours. Find the time taken to travel 600 km at the same speed.

The correct answer is B: 10 hours. Speed = 360/6 = 60 km/h. Time = Distance/Speed = 600/60 = 10 hours

Corporate & IT Interview Preparation

Q.161 Easy Numbers

If the simple interest on Rs. 1000 for 2 years at rate R% per annum is Rs. 200, find the rate R.

A 5%

B 8%

C 10%

D 12%

Correct Answer: C. 10%

Explanation:

SI = (P × R × T)/100. 200 = (1000 × R × 2)/100. R = 10%

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Q.162 Easy Numbers

A shopkeeper marks goods at 40% above cost price. If he gives a discount of 25%, what is his profit percentage?

A 5%

B 10%

C 15%

D 20%

Correct Answer: A. 5%

Explanation:

Let CP = 100. MP = 140. After 25% discount, SP = 140 × 0.75 = 105. Profit = 5%.

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Q.163 Easy Numbers

Two pipes A and B can fill a tank in 20 hours and 30 hours respectively. If both pipes are opened together, how long will it take to fill the tank?

A 10 hours

B 12 hours

C 15 hours

D 18 hours

Correct Answer: B. 12 hours

Explanation:

Combined rate = 1/20 + 1/30 = 5/60 = 1/12. Time = 12 hours.

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Q.164 Easy Numbers

A train 150m long crosses a pole in 15 seconds. What is its speed in km/h?

A 36 km/h

B 45 km/h

C 54 km/h

D 72 km/h

Correct Answer: A. 36 km/h

Explanation:

Speed = 150/15 = 10 m/s = 10 × 3.6 = 36 km/h.

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Q.165 Easy Numbers

Pipe A can empty a full tank in 12 hours. Pipe B can fill the same tank in 18 hours. If both pipes are opened simultaneously with the tank full, how long to empty it?

A 30 hours

B 36 hours

C 40 hours

D 45 hours

Correct Answer: B. 36 hours

Explanation:

Net rate = 1/12 - 1/18 = 3/36 - 2/36 = 1/36. Time = 36 hours.

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Q.166 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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Q.167 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.

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Q.168 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%.

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Q.169 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.

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Q.170 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.

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