Maths PYQ — Page 8

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?

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?

If the price of an article is decreased by 20% and then the new price is increased by 25%, then what is the net change in the price?

If 32019 is divided by 10, then what is the remainder?

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?

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?

Consider the following statements: 1. The sum of 5 consecutive integers can be 100. 2. The product of three consecutive natural numbers can be equal to their sum. Which of the above statements is/are correct?

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?

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 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:

At which one of the following times, do the hour hand and the minute hand of the clock make an angle of 180° with each other?

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 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?

A pie diagram shows the percentage distribution of proteins, water and other dry elements in the human body. Given that proteins correspond to 16% and water corresponds to 70%. If both proteins and the other dry elements correspond to p%, then what is the central angle of the sector representing p on the pie diagram?

A person X from a place A and another person Y from a place B set out at the same time to walk towards each other. The places are, separated by a distance of 15 km. X walks with a uniform speed of 1.5 km/hr and Y walks with a uniform speed of 1 in the first hour, with a uniform speed of 1:25 km/hr in the second hour and with a uniform speed of 1-5 km/hr in the third hour and so on. Which of the following is/are correct? 1. They take 5 hours to meet. 2. They meet midway between A and B. Select the correct answer using the code given below

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?

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%?

A cubical vessel of side 1m is filled completely with water. How many millilitres of water is contained in it (neglect thickness of the vessel)?

A boy plays with a ball and he drops it from a height of 1.5 m. Every time the ball hits the ground, it bounces back to attain a height 4/5th of the previous height. The ball does not bounce further if the previous height is less than 50 cm. What is the number of times the ball hits the ground before the ball stops bouncing?

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?

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 remainder when \(51 \times 27 \times 35 \times 62 \times 75\)is divided by 100?

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

What is the largest number among the following?