An 8-digit number 4252746B leaves remainder ‘0’ when divided by 3. How many values of B are possible?

In 2002, Meenu’s age was one-third of the age of Meera, whereas in 2010, Meenu’s age was half the age of Meera. What is Meenu’s year of birth?

Number 136 is added to $5B7$ and the sum obtained is $7A3$, where $A$ and $B$ are integers. It is given that $7A3$ is exactly divisible by 3. The only possible value of $B$ is:

A family has two children along with their parents. The average of the weights of the children and their mother is $50$ kg. The average of the weights of the children and their father is $52$ kg. If the weight of the father is $60$ kg, then what is the weight of the mother?

In a school every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?

The ratio of a two-digit natural number to a number formed by reversing its digits is $4 : 7$. The number of such pairs is

X, Y, and Z are three contestants in a race of 1000 m. Assume that all run with different uniform speeds. X gives Y a start of 40 m and X gives Z a start of 64 m. If Y and Z were to compete in a race of 1000 m, how many meters start will Y give to Z?

A printer numbers the pages of a book starting with 1 and uses 3089 digits in all. How many pages does the book have?

If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction is

Ena was born 4 years after her parents’ marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena’s father get married?

Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper is

What is the length of the original sheet of paper?

The number of times the digit 5 will appear while writing the integers from 1 to 1000 is

A and B are two heavy steel blocks. If B is placed on the top of A, the weight increases by $60\%$. How much weight will reduce with respect to the total weight of A and B, if B is removed from the top of A?

Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next?

Rakesh had money to buy 8 mobile handsets of a specific company. But the retailer offered a very good discount on that particular handset. Rakesh could buy 10 mobile handsets with the amount he had. What was the discount the retailer offered?

Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent Rs. 1300 and Rajesh spent Rs. 1500. If each racket costs three times a ball does, then what is the price of a racket?

How many triplets $(x, y, z)$ satisfy the equation $x + y + z = 6$, where $x, y$, and $z$ are natural numbers?

Suppose you have a sufficient amount of rupee currency in three denominations Rs. 1, Rs. 10, and Rs. 50. In how many different ways can you pay a bill of $107$?

Raju has Rs. 9000 with him and he wants to buy a mobile handset; but he finds that he has only 75% of the amount required to buy the handset. Therefore, he borrows Rs. 2000 from a friend. Then

The average marks of 100 students are given to be 40. It was found later that marks of one student were 53, which were misread as 83. The corrected mean marks are:

When a runner was crossing the 12 km mark, she was informed that she had completed only 80% of the race. How many kilometers was the runner supposed to run in this event?

P, Q and R are three towns. The distance between P and Q is $60$ km, whereas the distance between P and R is $80$ km. Q is in the West of P and R is in the South of P. What is the distance between Q and R?

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of four parallel lines, is

In an examination, A has scored 20 marks more than B. If B has scored $5\%$ less marks than A, how much has B scored?