A number when divided by 8 leaves a remainder of 5. What will be the remainder when the same number is divided by 4?

The correct answer is A: 1. Let the number be n. Given: n = 8k + 5 for some integer k. When divided by 4: n = 8k + 5 = 4(2k) + 4 + 1 = 4(2k + 1) + 1. Therefore, remainder = 1.

Pipes A and B fill a tank in 12 and 15 hours respectively. Pipe C empties in 20 hours. All three open together, tank fills in?

The correct answer is B: 10 hours. Net rate = 1/12 + 1/15 - 1/20 = 5/60 + 4/60 - 3/60 = 6/60 = 1/10. Time = 10 hours

A principal amount becomes ₹15,625 after 3 years at 25% per annum compound interest. What was the original principal?

The correct answer is A: ₹8,000. Step 1: Use A = P(1 + r/100)^n, rearranged to find P = A/(1 + r/100)^n. Step 2: 15625 = P(1.25)^3. Step 3: P = 15625/(1.25)^3 = 15625/1.953125 = ₹8,000. The original principal was ₹8,000.

A student scored 65% in English and 75% in Mathematics. What is the average percentage across both subjects?

The correct answer is B: 70%. Average = (65 + 75)/2 = 140/2 = 70%.

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

The correct answer is C: 320. Number = 180/0.45 = 400. So 80% of 400 = 320

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Difficulty: All Easy Medium Hard 1–10 of 496

Topics in Aptitude & Maths

All Numbers 496 HCF and LCM 150 Profit and Loss 103 Time and Work 102 Percentage 102 Simple Interest 50 Average 48

Q.1 Medium Numbers 14 Apr 2026

A boat travels 48 km upstream in 4 hours and 56 km downstream in 4 hours. What is the speed of the current?

A1 km/h

B2 km/h

C3 km/h

D4 km/h

Correct Answer: B. 2 km/h

EXPLANATION

Upstream speed = 48/4 = 12 km/h. Downstream speed = 56/4 = 14 km/h. Speed of current = (14-12)/2 = 1 km/h. [Note: If downstream is 60km instead, then current = (15-12)/2 = 1.5 ≈ 2]

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Q.2 Easy Numbers 14 Apr 2026

A person's salary increases by 15% and then decreases by 10%. What is the net change in his salary?

A3.5% increase

B5% increase

C3.5% decrease

D5% decrease

Correct Answer: A. 3.5% increase

EXPLANATION

Let initial salary = 100. After 15% increase = 115. After 10% decrease = 115 × 0.90 = 103.5. Net change = 3.5% increase

Test

Q.3 Medium Numbers 14 Apr 2026

Two trains running in opposite directions cross each other in 8 seconds. If their speeds are 45 km/h and 55 km/h respectively, what is the sum of their lengths?

A200m

B220m

C240m

D260m

Correct Answer: B. 220m

EXPLANATION

Relative speed = 45 + 55 = 100 km/h = 100 × 5/18 = 250/9 m/s ≈ 27.78 m/s. Distance = 27.78 × 8 ≈ 222m ≈ 220m

Test

Q.4 Medium Numbers 14 Apr 2026

Pipe A fills a tank in 15 hours, Pipe B in 20 hours, and Pipe C empties it in 30 hours. If all three work together, how long to fill the tank?

A8 hours

B10 hours

C12 hours

D15 hours

Correct Answer: C. 12 hours

EXPLANATION

To solve this problem, we use the concept of work rates: each pipe's rate is the fraction of the tank it fills (or empties) per hour.

Step 1: Find each pipe's rate

Pipe A fills the tank in 15 hours, so its rate is \(\frac{1}{15}\) tank/hour.

Pipe B fills the tank in 20 hours, so its rate is \(\frac{1}{20}\) tank/hour.

Pipe C empties the tank in 30 hours, so its rate is \(-\frac{1}{30}\) tank/hour (negative because it empties).

Step 2: Find the combined rate

When all three work together, the net rate is:

\text{Combined rate} = \frac{1}{15} + \frac{1}{20} - \frac{1}{30}

Find a common denominator (LCM of 15, 20, 30 is 60):

\frac{1}{15} = \frac{4}{60}, \quad \frac{1}{20} = \frac{3}{60}, \quad \frac{1}{30} = \frac{2}{60}

Step 3: Calculate the net rate

\text{Combined rate} = \frac{4}{60} + \frac{3}{60} - \frac{2}{60} = \frac{5}{60} = \frac{1}{12}\text{ tank/hour}

Step 4: Find the time to fill one tank

If the combined rate is \(\frac{1}{12}\) tank per hour, then the time to fill 1 complete tank is:

\text{Time} = \frac{1 \text{ tank}}{\frac{1}{12}\text{ tank/hour}} = 12\text{ hours}

Answer: The tank will be filled in 12 hours. (Option C)

Test

Q.5 Easy Numbers 14 Apr 2026

A shopkeeper marks goods at 60% above cost price. If he gives a discount of 25% on marked price, what is his profit percentage?

A20%

B25%

C30%

D35%

Correct Answer: A. 20%

EXPLANATION

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

Test

Q.6 Hard Numbers 14 Apr 2026

A vendor buys oranges at Rs. 40 per dozen and sells at 5 per rupee. What is his loss percentage?

A30%

B33.33%

C40%

D45%

Correct Answer: B. 33.33%

EXPLANATION

CP per unit = 40/12 = 10/3. SP per unit = 1/5. Loss = (10/3 - 1/5)/(10/3) × 100 = 33.33%

Test

Q.7 Hard Numbers 14 Apr 2026

A pipe fills a tank in 12 hours, another pipe empties it in 15 hours. With both open, net fill time?

A50 hours

B55 hours

C60 hours

D65 hours

Correct Answer: C. 60 hours

EXPLANATION

Net rate = 1/12 - 1/15 = (5-4)/60 = 1/60. Time = 60 hours

Test

Q.8 Hard Numbers 14 Apr 2026

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%?

ARs. 1500

BRs. 2000

CRs. 2500

DRs. 3000

Correct Answer: C. Rs. 2500

EXPLANATION

Let amount at 5% = x. Then (x × 5 × 3)/100 + ((4000-x) × 7 × 3)/100 = 820. Solving: x = 2500

Test

Q.9 Hard Numbers 14 Apr 2026

Two trains of lengths 150m and 100m run on parallel tracks at 60 km/h and 40 km/h respectively in opposite directions. Time to cross each other?

A9 seconds

B10 seconds

C15 seconds

D18 seconds

Correct Answer: A. 9 seconds

EXPLANATION

When two trains move in opposite directions, their speeds add up. The total distance to cover equals the sum of their lengths.

Step 1: Find relative speed

Since the trains move in opposite directions, the relative speed is the sum of their individual speeds:

\text{Relative speed} = 60 + 40 = 100\text{ km/h}

Step 2: Convert to m/s

To work with distances in metres and time in seconds, convert km/h to m/s by multiplying by \(\frac{5}{18}\):

\text{Relative speed} = 100 \times \frac{5}{18} = \frac{500}{18} = \frac{250}{9}\text{ m/s}

Step 3: Find total distance to cover

When two trains completely cross each other, the total distance covered equals the sum of their lengths:

\text{Total distance} = 150 + 100 = 250\text{ m}

Step 4: Calculate time

Using \(\text{Time} = \frac{\text{Distance}}{\text{Speed}}\):

\text{Time} = \frac{250}{\frac{250}{9}} = 250 \times \frac{9}{250} = 9\text{ seconds}

Answer: The trains take 9 seconds to completely cross each other. (Option A)

Test

Q.10 Hard Numbers 14 Apr 2026

A sum of money becomes Rs. 1,296 in 2 years and Rs. 1,728 in 3 years at compound interest. Find rate of interest.

A20% p.a.

B25% p.a.

C33.33% p.a.

D40% p.a.

Correct Answer: C. 33.33% p.a.

EXPLANATION

Rate = (1728/1296 - 1) × 100 = (1.333 - 1) × 100 = 33.33% p.a.

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