Maths PYQ — Page 6

How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers?

Let x be a positive integer such that 7x + 96 is divisible by x. how many value of x are possible?

A flag has to be designed with 4 horizontal strips using some or all of the colour red, green and yellow. What is the number of different ways in which this can be done so that no two adjacent stripes have the same colour?

How many seconds in total are there in x weeks, x days, x hours, x minutes and seconds?

What is the smallest number greater than 1000 that when divided by anyone of the numbers 6, 9, 12, 15, 18 leaves a remainder of 3?

In a tournament of Chess having 150 entrants, a players is eliminated whenever he loses a match. It is given that no match results in a tie/draw. How many matches are played in the entire tournament?

A bill for ₹ 1,840 is paid in the denominations of ₹50, ₹20 and ₹10 notes. 50 notes in all are used. Consider the following statements: 1. 25 notes of ₹50 are used and the remaining are in the denominations of ₹20 and ₹10. 2. 35 notes of ₹20 are used and the remaining are in the denominations of ₹50 and ₹10. 3. 20 notes of ₹10 are used and the remaining are in the denominations of ₹50 and ₹20. Which of the above statements are not correct?

The average weight of A, B C is 40 Kg, the average weight of B, D, E is 42 kg and the weight of F is equal to that of B. what is the average weight of A, B, C, D, E and F?

A pie chart gives the expenditure on five different items A, B, C, D and E in a household. If B, C, D and E correspond to 90º, 50º, 45º and 75º respectively, then what is the percentage of expenditure on item A?

Let p be a two-digit number and q be the number consisting of same digits written in reverse order. If p × q = 2430, then what is the difference between p and q?

Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes. There was no NOTA (None of the above) option. X got 56% of the votes cast and won by 1440 votes. What is the total number of voters in the voters list?

The increase in the price of a certain item was 25%, And then the price was decreased by 20% and then again increased by 10%, What is the resultant increase in the price?

Which number amongst 240, 321, 418 and 812 is the smallest?

There is a numeric lock which has a 3-digit PIN. The PIN contains digits 1 to 7. There is no repetition of digits. The digits in the PIN from left to right are in decreasing order. Any two digits in the PIN differ by at least 2. How many maximum attempts does one need to find out the PIN with certainty?

There are 9 cups placed on a table arranged in equal number of rows and columns out of which 6 cups contain coffee and 3 cups contain tea. In how many ways can they be arranged so that each row should contain at least one cup of coffee?

The sum of three consecutive integers is equal to their product. How many such possibilities are there?

A person X wants to distribute some pens among six children A, B, C, D. E and F. Suppose A gets twice the number of pens received by B, three times that of C. four times that of D. five times that of E and six times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number?

Consider the following statements in respect of a rectangular sheet of length 20 cm and breadth 8 cm: 1. It is possible to cut the sheet exactly into 4 square sheets. 2. It is possible to cut the sheet into 10 triangular sheets of equal area. Which of the above statements is/are correct?

A has some coins. He gives half of the coins and 2 more to B. B gives half of the coins and 2 more to C. C gives half of the coins and 2 more ta D. The number of coins D has now’, is the smallest two-digit number. How many coins does A have in the beginning?

The letters A, B, C, D and E are arranged in such a way that there are exactly two letters between A and E. How many such arrangements are possible?

When 70% of a number x is added to another number y, the sum becomes 165% of the value of y. When 60% of the number x is added to another number Z, then the sum becomes 165% of the value of z. Which one of the following is correct

A, B and C are three places such that there are three different roads from A to B. four different roads from B to C and three different roads from A to C. In how many different ways can one travel from A to C using these roads?

24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?

How many 3-digit natural numbers (without repetition of digits) are there such that each digit is odd and the number is divisible by 5?