List of practice Questions

How many five-digit numbers can be formed using the digits 2, 3, 8, 7, 5 exactly once such that the number is divisible by 125?
You can collect as many rubies and emeralds as you can. Each ruby is worth Rs. 4 crore and each emerald is worth Rs. 5 crore. Each ruby weighs 0.3 kg and each emerald weighs 0.4 kg. Your bag can carry at most 12 kg. What should you collect to get the maximum wealth?
I have one-rupee coins, 50-paisa coins and 25-paisa coins. The number of coins are in the ratio 2.5 : 3 : 4. If the total amount with me is Rs. 210, find the number of one-rupee coins.
My son adores chocolates. He likes biscuits. But he hates apples. I told him that he can buy as many chocolates as he wishes. But then he must have biscuits twice the number of chocolates and should have apples more than biscuits and chocolates together. Each chocolate costs Rs. 1. The cost of an apple is twice the chocolate and four biscuits are worth one apple. Then which of the following can be the amount that I spent on that evening on my son if the number of chocolates, biscuits, and apples bought were all integers?

Four identical coins are placed in a square. For each coin the ratio of area to circumference is the same as the ratio of circumference to area. Then find the area of the square that is not covered by the coins.

Three wheels can complete 60, 36, and 24 revolutions per minute. There is a red spot on each wheel that touches the ground at time zero. After how much time will all these spots will simultaneously touch the ground again?
A certain number, when divided by 899, leaves a remainder 63. Find the remainder when the same number is divided by 29.
A is the set of positive integers such that when divided by 2, 3, 4, 5, 6 leaves the remainders 1, 2, 3, 4, 5 respectively. How many integers between 0 and 100 belong to set A?

Answer the questions based on the following information.
A, B, C and D collected one-rupee coins following the given pattern.
Together they collected 100 coins. Each one of them collected even number of coins.
Each one of them collected at least 10 coins. No two of them collected the same number of coins.
The maximum number of coins collected by any one of them cannot exceed

Answer the questions based on the following information.
A, B, C and D collected one-rupee coins following the given pattern.
Together they collected 100 coins. Each one of them collected even number of coins.
Each one of them collected at least 10 coins. No two of them collected the same number of coins.
If A collected 54 coins, then the difference in the number of coins between the one who collected maximum number of coins and the one who collected the second highest number of coins must be at least

Answer the questions based on the following information.
A, B, C and D collected one-rupee coins following the given pattern.
Together they collected 100 coins. Each one of them collected even number of coins.
Each one of them collected at least 10 coins. No two of them collected the same number of coins.
If A collected 54 coins and B collected two more coins than twice the number of coins collected by C, then the number of coins collected by B could be

A cow is tethered at point A by a rope. Neither the rope nor the cow is allowed to enter ∆ ABC.
∠ BAC = 30°
| (AB) = | (AC) = 10 m

What is the area that can be grazed by the cow if the length of the rope is 8 m?

A cow is tethered at point A by a rope. Neither the rope nor the cow is allowed to enter ∆ ABC.
∠ BAC = 30°
| (AB) = | (AC) = 10 m

What is the area that can be grazed by the cow if the length of the rope is 12 m?

A, B, C and D are to be seated in a row. But C and D cannot be together. Also B cannot be at the third place.
Which of the following must be false?

A, B, C and D are to be seated in a row. But C and D cannot be together. Also B cannot be at the third place.
If A is not at the third place, then which of the following options does C have?

A, B, C and D are to be seated in a row. But C and D cannot be together. Also B cannot be at the third place.
If A and B are together, then which of the following must be necessarily true?

Evaluate the following expression: \[ \left( \frac{X \ Y}{- X \times Y} \right) = \frac{3}{8}, \] \text{then which of the following must be true?}

(BE)2 = MPB, where B, E, M and P are distinct integers. Then M =

Five-digit numbers are formed using only 0, 1, 2, 3, 4 exactly once. What is the difference between the maximum and minimum number that can be formed?
How many numbers can be formed from 1, 2, 3, 4, 5, without repetition, when the digit at the unit’s place must be greater than that in the ten’s place?
Distance between A and B is 72 km. Two men started walking from A and B at the same time towards each other. The person who started from A travelled uniformly with average speed of 4 km/hr. While the other man travelled with varying speed as follows: in the first hour his speed was 2 km/hr, in the second hour it was 2.5 km/hr, in the third hour it was 3 km/hr, and so on. When will they meet each other?
P, Q, R and S are four statements. Relation between these statements is as follows. I. If P is true, then Q must be true.
II. If Q is true, then R must be true.
III. If S is true, then either Q is false or R is false.
Which of the following must be true?

Production pattern for number of units (in cubic feet) per day

For a truck that can carry 2,000 cubic ft, hiring cost per day is Rs. 1,000. Storing cost per cubic feet is Rs. 5 per day.

If the storage cost is reduced to Re 0.80 per cubic feet per day, then on which day(s), should the truck be hired?

One bacterium splits into eight bacteria of the next generation. But due to environmental condition only 50% survives and the remaining 50% dies after producing the next generation. If the seventh generation number is 4,096 million, what is the number in the first generation?

Three circles, each of radius 20, have centres at P, Q, and R. Further, AB = 5, CD = 10 and EF = 12. What is the perimeter of \( \triangle PQR \)?