Numerical Ability

The ages of A and B are in the ratio 5:7. Four years from now, the ratio will be 3:4. Find A's current age.

Milk and water are mixed in a ratio 5:2. If 14 litres of the mixture is used, how many litres of milk are used?

A can complete a job in 10 days, B in 15 days. Working together, how long will they take?

A can do a work in 12 days. After 4 days, B joins and they finish in 4 more days. In how many days can B alone finish the work?

15 workers can complete a project in 40 days. After 8 days, 5 workers leave. How many more days are needed to finish?

A does 1/3 of a work in 5 days, B does 1/5 of the same work in 4 days. How long will both take together?

A pipe can fill a tank in 20 minutes. Another pipe can empty it in 30 minutes. If both are opened simultaneously, how long to fill the tank?

3 men or 5 women can complete a work in 8 days. In how many days can 6 men and 10 women do it?

A trader bought an article for ₹1500 and sold it for ₹1800. What is his profit percentage?

By selling an article at ₹900, a loss of 10% is incurred. Find the cost price.

A man sells two watches for ₹1200 each. On one he gains 20% and on the other loses 20%. What is the overall % loss or gain?

A dishonest shopkeeper uses a 900g weight instead of 1 kg and claims to sell at cost price. What is his actual profit percentage?

A dealer allows a 10% discount and still makes a 20% profit. What is the markup on cost price?

Find the Simple Interest on ₹5000 at 8% per annum for 3 years.

Find the Compound Interest on ₹10000 at 10% per annum for 2 years.

The difference between CI and SI on ₹8000 at 10% per annum for 2 years is:

A sum triples itself in 8 years at simple interest. In how many years will it become 5 times itself?

A car travels 300 km in 5 hours. What is its average speed?

Two trains 150m and 200m long run at 40 km/h and 50 km/h respectively in opposite directions. How long do they take to cross each other?

A person walks at 5 km/h to reach office. If he walks at 3 km/h he is 30 minutes late. Find the distance.

A train overtakes two persons walking in the same direction at 4 km/h and 8 km/h and crosses them in 12 sec and 16 sec respectively. Find the train's length.

If I travel at 30 km/h, I reach my destination 15 minutes late. If I travel at 40 km/h, I am 15 minutes early. Find the distance.

The average of 5 numbers is 20. If one number is replaced by 35 (replacing a number 10), the new average is:

The average marks of 40 students is 80. When 5 new students join with an average of 60, what is the new class average?

The average of 11 results is 50. If the average of first 6 is 49 and of last 6 is 52, the 6th result is:

A batsman's average after 15 innings is 32. After 16 innings, the average increased to 33. What score did he make in the 16th inning?

Company sales (in ₹ lakhs): Q1=120, Q2=150, Q3=180, Q4=90. What percentage of annual sales occurred in Q3?

Employee data: Dept A = 200 (60% male), Dept B = 300 (40% male). What % of total employees are female?

Profits: 2021=₹40L, 2022=₹60L, 2023=₹48L, 2024=₹72L. What is the average % growth from year to year?

In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg to get a mixture worth ₹50/kg?

A container has 40 litres of milk. 4 litres are withdrawn and replaced with water. Then 4 litres of mixture are withdrawn and replaced with water. What is the ratio of milk to water?

How many kg of sugar at ₹18/kg must be mixed with 36 kg of sugar at ₹12/kg so that the mixture is worth ₹16/kg?

In how many ways can the letters of the word "INDIA" be arranged?

From a group of 5 men and 4 women, a committee of 3 men and 2 women is to be formed. How many ways?

In how many ways can 6 books be arranged on a shelf so that 2 specific books are always together?

A card is drawn from a standard 52-card deck. What is the probability of drawing a king?

Two dice are rolled. What is the probability that the sum is 7?

A bag has 3 red, 4 blue, 5 green balls. Two balls are drawn at random without replacement. Probability both are red?

What is the probability of getting at least one head in 3 coin tosses?

If 3x + 5 = 20, find x.

If x + y = 10 and x − y = 4, find x² − y².

Solve: 2x − 3y = 5 and 3x + y = 8. Find x.

The sum of a two-digit number and the number formed by reversing its digits is 154. The digits differ by 4. Find the number.

The perimeter of a rectangle is 60 cm. If the length is 20 cm, find the breadth.

A circular garden has radius 14 m. Find its area. (Use π = 22/7)

Two angles of a triangle are 65° and 70°. What is the third angle?

The base of a parallelogram is 12 cm and height is 8 cm. The adjacent side is 10 cm. Find the area.

What is the remainder when 2^10 is divided by 7?

How many zeros are at the end of 50!?

Find the LCM of 12, 18, and 24.