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

Consider the following 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?

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

Consider the following multiplication problem:

$(PQ) \times 3 = RQQ$, where P, Q and R are different digits and $R e 0$.

What is the value of $(P+R) \div Q$?

A biology class at high school predicted 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 the population?

The difference between a 2-digit number and the number obtained by interchanging the positions of the digits is 54.

Consider the following statements:

1. The sum of the two digits of the number can be determined only if the product of the two digits is known.
2. The difference between the two digits of the number can be determined.

Which of the above statements is/are correct?

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?

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 Rs. 40, then three of us will have equal amount. What is the total amount of money that X, Y and Z have?

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 $\frac{4}{5}$th 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?

If $3^{2019}$ is divided by 10, then what is the remainder?

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

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?

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 $1$ km/hr 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:

Using 2, 2, 3, 3, 3 as digits, how many distinct numbers greater than 30000 can be formed?

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 all the 90 questions, a student got a total of 387 marks. What is the number of incorrect responses ?

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?

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

From January 1, 2021, the price of petrol (in Rupees per litre) on mth day of the year is $80 + 0.1m$, where $m = 1, 2, 3, ... 100$ and thereafter 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 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?

When a certain number is multiplied by 7, the product entirely comprises ones only (1111...). What is the smallest such number?

There are two Classes A and B having 25 and 30 students respectively. In Class-A the highest score is 21 and lowest score is 17. In Class-B the highest score is 30 and lowest score is 22. Four students are shifted from Class-A to Class-B.

Consider the following statements:

1. The average score of Class-B will definitely decrease.
2. The average score of Class-A will definitely increase.

Which of the above statements is/are correct?

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?

X said to Y, "At the time of your birth I was twice as old as you are at present." If the present age of X is 42 years, then consider the following statements:

1. 8 years ago, the age of X was five times the age of Y.
2. After 14 years, the age of X would be two times the age of Y.

Which of the above statements is/are correct?

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

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?

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

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:

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

Consider the following Table :

Who is the fastest run scorer in the Test Match?

A man completes $\frac{7}{8}$ 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%

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?