How many different sums can be formed with the denomination Rs. 50, Rs. 100, Rs. 200, Rs. 500, and Rs. 2,000 taking at least three denominations at a time?

In the sum $\otimes + 1\otimes + 5\otimes + \otimes\otimes + \otimes1 = 1\otimes\otimes$ for which digit does the symbol $\otimes$ stand?

How many pairs of natural numbers are there such that the difference of whose squares is 63?

Consider the following data:

For which period was the natural growth rate maximum?

How many different 5-letter words (with or without meaning) can be constructed using all the letters of the word ‘DELHI’ so that each word has to start with D and end with I?

A shop owner offers the following discount options on an article to a customer:

1. Successive discounts of $10\%$ and $20\%$, and then pay a service tax of $10\%$.
2. Successive discounts of $20\%$ and $10\%$, and then pay a service tax of $10\%$.
3. Pay a service tax of $10\%$ first, then successive discounts of $20\%$ and $10\%$.

Which one of the following is correct?

If you have two straight sticks of length 7.5 feet and 3.25 feet, what is the minimum length can your measure?

Let x, y be the volumes; m, n be the masses of two metallic cubes P and Q respectively. Each side of Q is two times that of P and mass of Q is two times that of P. Let $u = \frac{m}{x}$ and $v = \frac{n}{y}$. Which one of the following is correct?

The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average score increases by 2.6. What was his average score in the last ten innings?

A bottle contains 20 litres of liquid A. 4 litres of liquid A is taken out of it and replace by same quantity of liquid B. Again 4 litres of the mixture is taken out and replaced by same quantity of liquid B. What is the ratio of quantity of liquid A to that of liquid B in the final mixture?

Let p, q, r and s be natural numbers such that $P – 2016 = q + 2017 = r – 2018 = s + 2019$ Which one of the following is the largest natural number?

In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class?

What is the greatest length $x$ such that $3 \frac{1}{2}$ m and $8 \frac{3}{4}$ m are integral multiples of $x$?

A vessel full of water weighs 40 kg. If its is one-third filled, its weight becomes 20 kg. What is the weight of the empty vessel?

Consider the following date:

What is the value of $x$ in the above table?

In adult population of a city, $40\%$ men and $30\%$ women are married. What $\%$ of the total adult population is married, if no man marries more than one woman and no woman marries more than one man; and there are no widows and widowers?

How many five-digit prime numbers can be obtained by using all the digits 1, 2, 3, 4 and 5 without repetition of digits?

What is the remainder when $51 \times 27 \times 35 \times 62 \times 75$ is divided by 100?

The average age of a teacher and three students in 20 years. If all the three students are of same age and the difference between the age of the teachers and each student is 20 years, then what is the age of the teacher?

A man takes half time in rowing a certain distance downstream than upstream. What is the ratio of the speed in still water to the speed of current?

A frog tries to come out of a dried well $4.5$ m deep with slippery walls. Every time the frog jumps $30$ cm, slides down $15$ cm. What is the number of jumps required for the frog to come out of the well?

A sum of Rs. 2,500 is distributed among X, Y and Z in two ratio $1/2 \colon 3/4 \colon 5/6$. What is the difference between the maximum share and the minimum share?

If 1 litre of water weighs 1 kg, then how many cubic millimetres of water will weigh $0.1$ gm?

For what value of n, the sum of digits in the number $(10^n+ 1)$ is 2?

Which one of the following will have minimum change in its value if 5 is added to both numerator and the denominator of the fractions $\frac{2}{3}$, $\frac{3}{4}$, $\frac{4}{5}$ and $\frac{5}{6}$ ?

What is the largest number among the following? $2/3$, $.6$, $\sqrt{.6}$, $(.6)^2$

A digit $n > 3$ is divisible by 3 but not divisible by 6. Which one of the following is divisible by 4?

A car travels from a place X to place Y at an average speed of $V$ km/hr, from Y to X at an average speed of $2v$ km/hr, again from X to Y at an average speed of $3v$ km/hr and again from Y to X at an average speed of $4v$ km/hr. Then the average speed of the car for the entire journey

Let $A3BC$ and $DE2F$ be four-digit numbers where each letter represents a different digit greater than 3. If the sum of the numbers is 15902, then what is the difference between the values of $A$ and $D$?

One page is torn from a booklet whose pages are numbered in the usual manner starting from the first page as 1. The sum of the numbers on the remaining pages is 195. The torn page contains which of the following numbers.

A person bought a car and sold it for Rs. $3,00,000$. If he incurred a loss of $20\%$, then how much did he spend to buy the car?

Let XYZ be a three-digit number, where $(X + Y + Z)$ is not a multiple of 3. Then $(XYZ + YZX + ZXY)$ is not divisible by

As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What was the original price of rice per kg?

A person x can complete 20% of work in 8 days and another person Y can complete 25% of the same work in 6 days. If they work together, in how many days will 40% of the work by completed?

The recurring decimal representation 1.272727 … is equivalent to

What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?

Consider the following statements:

1. The minimum number of points of intersection of a square and a circle is $2$.
2. The maximum number of points of intersection of a square and circle is $8$.

Which of the above statements is/are correct?

How many integers are there between 1 and 100 which have 4 as a digit but are not divisible by 4?

How many zeroes are there at the end of the following product?

$1 \times 5 \times 10 \times 15 \times 20 \times 25 \times 30 \times 35 \times 40 \times 45 \times 50 \times 55 \times 60$