Maths PYQ — Page 2

A toy T jumps forward or backward. In each forward jump, it moves 5' forward whereas in each backward jump, it moves 2' backward. If in 31 jumps, T moves exactly 15' forward, then what is the difference of the number of forward and backward jumps?

In a recruitment process, the selection of candidates is based on their performance in three components. The weightages of the components 1, 2 and 3 are 0.2, 0.3 and 0.5, respectively. Use the data given below and find the cutoff score if exactly three candidates are to be selected: Candidate | Score in component 1 | Score in component 2 | Score in component 3 1 | 5 | 4 | 6 2 | 4 | 6 | 5 3 | 3 | 2 | 8 4 | 9 | 4 | 3 5 | 8 | 8 | 2

How many times does 5 appear in all two-digit positive integers?

Suppose x, y and z are variables taking positive real numbers as their possible values. It is given that y is directly proportional to \(x^2\) and x is inversely proportional to z. For \(z = \dfrac{7}{25}\), the values of x and y are 5 and 50, respectively. If \(y = 98\), what is z equal to?

A is a 2-digit number with different digits. B is also a 2-digit number and is obtained by reversing the digits of A. If \(A - B\) is a multiple of 27, where \(A > B\), how many such different A's are possible?

There are three types of rectangular tiles: 3' × 3', 3' × 7' and 3' × 11'. An area of rectangular shape of dimensions 3' × 100' is to be covered using these tiles without breaking them. If x and y are the maximum and minimum numbers of tiles of various sizes, respectively, that can be used to cover the area exactly, then x - y is

How many three-digit numbers can be expressed as an integral power of 2?

Team X scored a total of N runs in 20 overs. Team Y tied the score in 10% less overs. Had Team Y's average run rate (runs per over) been 50% higher, the scores would have been tied in 12 overs. How many runs were scored by Team X?

Consider the following statements: 1. There exists a natural number which when increased by 50% can have its number of factors unchanged. 2. There exists a natural number which when increased by 150% can have its number of factors unchanged. Which of the statements given above is/are correct?

The price (p) of a commodity is first increased by k%, then decreased by k%; again increased by k%, and again decreased by k%. If the new price is q, then what is the relation between p and q?

If 4 ≤ x ≤ 8 and 2 ≤ y ≤ 7, then what is the ratio of maximum value of (x + y) to minimum value of (x − y)?

How many possible values of (p + q + r) are there satisfying [Image: image] where p, q, and r are natural numbers (not necessarily distinct)?

A tram overtakes 2 persons X and Y walking at an average speed of 3 km/hr and 4 km/hr in the same direction and completely passes them in 8 seconds and 9 seconds respectively. What is the length of the train?

Three prime numbers p, q, and r, each less than 20, are such that p – q = q – r. How many distinct possible values can we get for (p + q + r)?

The 5-digit number PQRST (all distinct digits) is such that T is not equal to 0. P is thrice T. S is greater than Q by 4, while Q is greater than R by 3. How many such 5-digit numbers are possible?

In a T20 cricket match, three players X, Y and Z scored a total of 37 runs. The ratio of number of runs scored by X to the number of runs scored by Y is equal to the ratio of number of runs scored by Y to number of runs scored by Z. Value-I = Runs scored by X Value-II = Runs scored by Y Value-III = Runs scored by Z Which one of the following is correct?

A natural number N is such that it can be expressed as N = p + q + r, where p, q, and r are distinct factors of N. How many numbers below 50 have this property?

A set (X) of 20 pipes can fill 70% of a tank in 14 minutes. Another set (Y) of 10 pipes fills [Image: image] th of the tank in 6 minutes. A third set (Z) of 16 pipes can empty half of the tank in 20 minutes. If half of the pipes of set X are closed and only half of the pipes of set Y are open, and all pipes of the set (Z) are open, then how long will it take to fill 50% of the tank?

The petrol price shot up by 10% as a result of the hike in crude oil prices. The price of petrol before the hike was ₹ 90 per litre. A person travels 2200 km every month and his car gives a mileage of 16 km per litre. By how many km should he reduce his travel if he wants to maintain his expenditure at the previous level?

X can complete one-third of a certain work in 6 days, Y can complete one-third of the same work in 8 days and Z can complete three-fourth of the same work in 12 days. All of them work together for n days and then X and Z quit and Y alone finishes the remaining work in [Image: image] days. What is n equal to?

There are n sets of numbers each having only three positive integers with LCM equal to 1001 and HCF equal to 1. What is the value of n?

The average of three numbers p, q and r is k. p is as much more than the average as q is less than the average. What is the value of r?

A 4-digit number N is such that when divided by 3, 5, 6, 9 it leaves a remainder of 1, 3, 4, 7 respectively. What is the smallest value of N?

If N2 = 12345678987654321, then how many digits does the number N have?