Attempt real previous-year and practice questions, subject by subject. Every question comes with the correct answer and a detailed explanation — free, no sign-up needed.
1,314 questions
Let p and q be positive integers satisfying p < q and p + q = k. What is the smallest value of k that does not determine p and q uniquely?
Attempt & see explanation32⁵ + 2²⁷ is divisible by which of the following?
Attempt & see explanationThe total cost of 4 oranges, 6 mangoes and 8 apples is equal to twice the total cost of 1 orange, 2 mangoes and 5 apples. Consider the following statements: 1. The total cost of 3 oranges, 5 mangoes and 9 apples is equal to the total cost of 4 oranges, 6 mangoes and 8 apples. 2. The total cost of one orange and one mango is equal to the cost of one apple. Which of the statements given above is/are correct?
Attempt & see explanationThree numbers x, y, z are selected from the set of the first seven natural numbers such that x > 2y > 3z. How many such distinct triplets (x, y, z) are possible?
Attempt & see explanationIf the sum of the two-digit numbers AB and CD is the three-digit number 1CE, where the letters A, B, C, D, E denote distinct digits, then what is the value of A?
Attempt & see explanationA 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?
Attempt & see explanationWhat 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, …
Attempt & see explanationWhat is the number of fives used in numbering a 260-page book?
Attempt & see explanationWhat is the angle between the minute hand and hour hand when the clock shows 4:25 hours?
Attempt & see explanationLet 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)q²s is even. 3. (q + r)²(p + s) is odd. Which of the statements given above are correct?
Attempt & see explanationThe calendar for the year 2025 is same for which of the following years?
Attempt & see explanationHow many times do the hour hand and the minute hand coincide in a clock between 10:00 a.m. and 2:00 p.m. (same day)?
Attempt & see explanationWeight 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?
Attempt & see explanationLet 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?
Attempt & see explanationConsider the following: 1. 1000 litres = 1 m³ 2. 1 metric ton = 1000 kg 3. 1 hectare = 10000 m² Which of the above are correct?
Attempt & see explanationA 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?
Attempt & see explanationIn an examination, 80% of students passed in English, 70% of students passed in Hindi and 15% students failed in both the subjects. What is the percentage of students who failed in only one subject?
Attempt & see explanationA number is mistakenly divided by 4 instead of multiplying by 4. What is the percentage change in the result due to this mistake?
Attempt & see explanationP'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?
Attempt & see explanationTwo 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?
Attempt & see explanation