Let X be a two-digit number and Y be another two-digit number formed by interchanging the digits of X. If $(X + Y)$ is the greatest two-digit number, then what is the number of possible values of X?

A Question is given followed by two Statements I and II. Consider the Question and the Statements. A certain amount was distributed among X, Y and Z. Question: Who received the least amount?

Statement-I: X received $\frac{4}{5}$ of what Y and Z together received. Statement-II: Y received $\frac{2}{7}$ of what X and Z together received.

Which one of the following is correct in respect of the above Question and the Statements?

Two persons P and Q enter into a business. P puts ₹ $14,000$ more than Q, but P has invested for $8$ months and Q has invested for $10$ months. If P's share is ₹ $400$ more than Q's share out of the total profit of ₹ $2,000$, what is the capital contributed by P?

A person walks 100 m Westward, then turns left and walks 100 m. He then takes $225^\circ$ turn clockwise. In which direction is he walking now?

The calendar for the year 2025 is same for

Consider the following :

1. 1000 litres = $1m^3$
2. 1 metric ton = 1000 kg
3. 1 hectare = $10000 m^2$

Which of the above are correct?

P’s salary is 20% lower than Q’s salary which is 20% lower than R’s salary. By how much percent is R’s salary more than P’s salary?

A certain number of men can complete a piece of work in $6k$ days, where $k$ is a natural number. By what percent should the number of men be increased so that the work can be completed in $5k$ days?

In an examination, 80% of students passed in English, 70% of students passed in Hindi and 15% failed in both the subjects. What is the percentage of students who failed in only one subject?

421 and 427, when divided by the same number, leave the same remainder 1. How many numbers can be used as the divisor in order to get the same remainder 1 ?

A person buys three articles P, Q and R for ₹ 3,330. If P costs 25% more than R and R costs 20% more than Q, then what is the cost of P?

$32^5 + 2^{27}$ is divisible by

On January 1st, 2023, a person saved Rs $1$. On January 2nd, 2023, he saved Rs. $2$ more than that on the previous day. On January 3rd, 2023, he saved Rs. $2$ more than that on the previous day and so on. At the end of which date was his total savings a perfect square as well a perfect cube?

Let p, q, r and s be distinct positive integers. Let p, q be odd and r, s be even. Consider the following statements:

1. $(p-r)^{2^{qs}}$ is even.
2. $(q-s)^{q^{2s}}$ is even.
3. $(q + r)^{2^{p + s}}$ is odd.

Which of the statements given above are correct?

A can X contains 399 litres of petrol and a can Y contains 532 litres of diesel. They are to be bottled in bottles of equal size so that whole of petrol and diesel would be separately bottled. The bottle capacity in terms of litres is an integer. How many different bottle sizes are possible?

How many times the hour hand and the minute hand coincide in a clock between 10:00 a.m. and 2.00 p.m. (same day)?

What is the sum of the first 28 terms in the following sequence? 1, 1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 5, 4, 3, 2,......

How many consecutive zeros are there at the end of the integer obtained in the product $1^2 \times 2^4 \times 3^6 \times 4^8 \times.... \times 25^{50}$?

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

Question: If the average marks in a class are 60, them what is the number of students in the class?

Statement-I: The highest marks in the class are 70 and the lowest marks are 50. Statement-II: Exclusion of highest and lowest marks from the class does not change the average.

Which one of the following is correct in respect of the above Question and the Statements?

What is the rightmost digit preceding the zeros in the value of $30^{30}$?

A Question is given followed by two Statement I and II. Consider the Question and the Statements.

A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least. Question : What is the price of the article p?

Statement-I : The cost of p is not more than that of r. Statement-II : The cost of r is not more than that of p.

Which one of the following is correct in respect of the above Question and the Statements?

A father said to his son, “$n$ years back I was as old as you are now. My present age is four times your age $n$ years back”. If the sum of the present ages of the father and the son is 130 years, what is the difference of their ages?

What percent of water must be mixed with honey so as to gain 20% by selling the mixture at the cost price of honey ?

What is the angle between the minute hand and hour hand when the clock shows 4:25 hours?

Consider the following statements in respect of the sum $S = x + y + z$, where $x$, $y$ and $z$ are distinct prime numbers each less than 10:

1. The unit digit of $S$ can be 0.
2. The unit digit of $S$ can be 9.
3. The unit digit of $S$ can be 5.

Which of the statements given above are correct?

Weight of 6 boys = Weight of 7 girls = Weight of 3 men = Weight of 4 women

If the average weight of the women is 63 kg, then what is the average weight of the boys?

A person walks 100 m straight from his house, turns left and walks 100 m, again turns left and walks 300 m, then turns right and walks 100 m to reach his office. In which direction does he walk initially from his house if his office is exactly in the North-East direction?

$222^{333} + 333^{222}$ is divisible by which of the following numbers ?

A number is mistakenly divided by 4 instead of multiplying by 4. What is the percentage change in the result due to this mistake?

A Question if given followed by two Statements I and II. Consider the Question and the Statements.

Question : Is $(x+y)$ an integer?

Statement-I : $(2x+y)$ is an integer. Statement-II : $(x+2y)$ is an integer.

Which one of the following is correct in respect of the above Question and the Statements?

X, Y and Z can complete a piece of work individually in 6 hours, 8 hours and 8 hours respectively. However, only one person at a time can work in each hour and nobody can work for two consecutive hours. All are engaged to finish the work. What is the minimum amount of time that they will take to finish the work.

A question is given followed by two Statements I and II. Consider the Question and the Statements.

Question: What are the unique values of $x$ and $y$, where $x$, $y$ are distinct natural numbers?

Statement-I : rac{x}{y} is odd. Statement-II : $xy = 12$

Which one of the following is correct in respect of the above Question and the Statements?

Question is given followed by two Statements I and II. Consider the Question and the Statements. Age of each of $P$ and $Q$ is less than $100$ years but more than $10$ years. If you interchange the digits of the age of $P$, the number represents the age of $Q$. Question : What is the difference of their ages?

Statement-I : The age of $P$ is greater than the age of $Q$. Statement-II : The sum of their ages is $\frac{11}{6}$ times their difference.

Which one of the following is correct in respect of the above Question and the Statements?