Maths PYQ — Page 8

The number 3798125P369 is divisible by 7. What is the value of the digit P?

From January 1, 2021, the price of petrol (in Rupees per letre) on mth day of the year is \(80 + 0.1m\), where \(m = 1,2,3.....,100\)and there after remains constant. On the other hand, the price of diesel (in Rupees per litre) on nth day of 2021 is \(69 + 0.15n\)for any n. On which date in the year 2021 are the prices of these two fuels equal?

Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

Consider the following addition problem: 3P + 4P + PP + PP = RQ2; where P, Q and R are different digits. What is the arithmetic mean of all such possible sums?

Consider the following multiplication problem: (PQ) × 3 = RQQ, where P, Q and R are different digits and R ≠ 0. What is the value of (P + R) + Q?

Jay and Vijay spent an equal amount of money to buy some pens and special pencils of the same quality from the same store, If Jay bought 3 pens and 5 pencils, and Vijay bought 2 pens and 7 pencils, then which one of the following is correct?

An amount of money was distributed among A, B and C in the ratio p : q : r Consider the following statements: 1. A gets the maximum share if p is greater than (q + r). 2. C gets the minimum share if r is less than (p + q). Which of the above statements is/are correct?

A person P asks one of his three friends X as to how much money he had. X replied, “If Y gives me Rs 40, then Y will have half of as much as Z, but if Z gives me @ 40, then three of us will have equal amount.” What is the total amount of money that X, Y and Z have?

On a chess board, in how many different ways can 6 consecutive square be chosen on the diagonals along a straight path?

A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5:6:7:8:9:10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?

Consider the following Table: Player | Runs scored in the first Innings | Balls faced in the first innings | Runs scored in the Second innings | Balls faced in the second innings A | 61 | 99 | 14 | 76 B | 05 | 12 | 50 | 85 C | 15 | 75 | 20 | 50 D | 13 | 55 | 12 | 50 Who is the fastest run scorer in the Test Match?

There are 6 persons arranged in a row. Another person has to shake hands with 3 of them so that he should not shake hands with two consecutive persons. In how many distinct possible combinations can the handshakes take place?

Integers are listed from 700 to 1000. In how many integers is the sum of the digits 10?

P scored 40 marks more than Q in an examination. If Q scored 10% less marks than P, then how much did Q score?

In an objective type test of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting the entire 90 question, a student got a total of 387 marks. What is the number to incorrect responses?

Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3. Let S be their sum. Which of the following is/are correct? 1. S is always divisible by 74 2. S is always divisible by 9. Select the correct answer using the code given below:

In a class, 60% of students are from India and 50% of the students are girls. If 30% of the Indian students are girls, then what percentage of foreign students are boys?

There are three Points P, Q and R on a straight line such that PQ: OR = 3 : 5. If n is the number of possible values of PQ : PR, then what is n equal to?

A biology class at high school predictor that a local population of animals will double in size every 12 years. The population at the beginning of the year 2021 was estimated to be 50 animals. If P represents the population after n years, then which one of the following equations represents the model of the class for population?

A man completes 7/8 of a job in 21 days. How many more days will it take him to finish the job if quantum of work is further increased by 50%?

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

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 reaming page is 195. The torn page contains which of the following numbers?

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 be completed?

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?