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Aptitude
General Knowledge
Verbal Reasoning
Computer Science
Interview
Take Free Test
Linear Equation Questions
Arithmetic progression (AP) constraints: The 4th term of an AP is 37, and the 6th term is 12 more than the 4th term. What is the sum of the 2nd and 8th terms?
Counting multiples (divisibility by 6): How many three-digit numbers (from 100 to 999) are exactly divisible by 6?
Square triangular savings day: On March 1, 2016, Sherry saves ₹1. From March 2 onward, each day he saves ₹1 more than the previous day. Find the first date after March 1, 2016 on which his total savings becomes a perfect square.
AP installments to clear a debt: A debt of ₹3600 is to be repaid in 40 yearly installments forming an AP. After paying 30 installments, one-third of the debt remains unpaid. Find the value of the first installment.
Split a number into three AP parts: The number 15 is divided into three parts in AP, and the sum of their squares is 83. What is the smallest part?
Doubling daily wages (geometric sequence): A boy earns ₹1 on day 1, ₹2 on day 2, ₹4 on day 3, doubling each day. If he works from 1st February to 20th February (20 days), how much does he earn in total?
Sum of two-digit numbers with remainder 3 on division by 7: What is the sum of all two-digit numbers that leave a remainder 3 when divided by 7?
AP with reciprocal targets: In an arithmetic progression, the m-th term is 1/n and the n-th term is 1/m. What is the sum of the first mn terms?
AP sums with exclusions: An AP has 10 terms. The sum of all terms except the 1st is 99, and the sum of all terms except the 6th is 89. If t1 + t5 = 10, find the 3rd term.
Linear equation from a verbal sentence: If 24 is subtracted from a number, the result is four-sevenths of the original number. What is the sum of the digits of that number?
Translating a mixed-fraction condition: The sum of one-half and one-fifth of a number exceeds one-third of that number by 7 1/3. What is the number?
Income split (salary and tips): A driver's tips in a week were 5/4 of his salary. What fraction of his total income came from tips?
Counting guests from dish ratios: At a party there is 1 bowl of rice for every 2 guests, 1 bowl of juice for every 3 guests, and 1 bowl of meat for every 4 guests. If there are 65 bowls in total, how many guests attended?
Two scenarios, two equations (money transfer): Ram and Mohan have some money. If Ram gives ₹30 to Mohan, Mohan then has twice as much as Ram has left. If instead Mohan gives ₹10 to Ram, Ram then has three times as much as Mohan has left. How much money does each have?
Sum–difference to product (two-number system): The sum of two numbers is 25 and their difference is 13. Keeping both conditions true, determine the product of the two numbers.
Use (a^2 − b^2) = (a − b)(a + b): The difference of the squares of two numbers is 256000 and their sum is 1000. Find the two numbers.
Fractional composition of a number: Two-fifths of one-fourth of three-sevenths of a number equals 15. What is one-half of that number?
Squares in a fixed ratio with a linear offset: The square of one number is 224 less than 8 times the square of the other. If the numbers are in the ratio 3:4, find the two numbers.
Tour-budget linear equation (extend by 4 days, daily spend falls by ₹3): A traveler has a total budget of ₹360 for daily expenses. He extends the tour by 4 days, which reduces his daily spending by ₹3. Find the original planned number of tour days.
Three consecutive odd numbers, sum condition: The sum of three consecutive odd numbers is 20 more than the first of these numbers. What is the middle number?
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