# Basic Aptitude Questions and Answers for Exams

Here we can provide a list of Aptitude Questions that will help to crack the exams…

## Aptitude Questions on Numbers

Three numbers are in the ratio 4:3:5. If the difference between thrice the third number and the sum of the first and second number is 64. Find the difference between the first and third numbers?

Ans: 8

Two different numbers, when divided by the same divisor, leave the remainder 7 and 9 respectively. When their sum is divided by the same divisor remainder was 4. Find the divisor?

Ans: 12

The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?

Ans: 51

In a three-digit number, the digit in the unit’s place is twice the digit in the ten’s place and 1.5 times the digit in the hundred’s place. If the sum of all the three digits of the number is 13, what is the number?

Ans: 436

In a two-digit positive number, the digit at the unit’s place is equal to the square of the digit in ten’s place and the difference between the number and the number obtained by interchanging the digits is 54. What is 40% of the original number?

Ans: 15.6

The sum of two even numbers is six more than twice the smaller number. If the difference between these two numbers is 6, If the larger number lies between 15 to 25 Which is the smaller number?

Ans: 12

The numerator of a rational number is 4 less than the denominator. If the numerator is increased by 15 and the denominator is decreased by 4, we get 6. Find the rational number?

Ans: 3/7

One-fifth of a number when subtracted from one–third of the number gives 24. Find the square of the number.

Ans: 32400

A number when divided by 837 leaves a remainder of 79. What will be the remainder when the same number is divided by 31?

Ans: 17

Two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number?

Ans: 32

## Aptitude Questions on LCM and HCF

HCF and LCM of the two numbers are 5 and 275 respectively and the sum of these two numbers is 80. Find the sum of the reciprocals of these numbers.

Ans: 16/275

Find the least number which when divided by 2, 5, 9, and 12 leaves a remainder 3 but leaves no remainder when the same number is divided by 11.

Ans: 363

Find the least number which when divided by 10, 15, 18 and 30 leaves remainders 6, 11, 14 and 26 respectively.

Ans: 86

Find the least number which when divided by15, 21, 24, and 32 leaves the same remainder 2 in each case.

Ans: 3362

Find the greatest number that will divide 427 and 900 leaving the remaining 3 and 8  respectively?

Ans: 4

Three buckets contain balloons filled with water.  The first bucket contains 243 balloons. The second contains 304 balloons and the last bucket contains 127 balloons. Find the largest number of balloons that can be given equally to the children such that 3, 4, and 7 balloons are left in the first, second, and third bucket respectively?

Ans: 60

Find the least number which when divided by 6, 8, 15, and 30 leaves the remainder 2, 4, 11, and 26 respectively?

Ans: 116

Find the least number which when divided by 2, 3, 4, and 5 leaves a remainder of 3. But when divided by 9 leaves no remainder?

Ans: 63

Find the 4-digit smallest number which when divided by 12, 15, 25, 30 leaves no remainder?

Ans: 1200

Find the smallest number of 4 digits which is exactly divisible by 12, 15, 21, and 30.

Ans: 1260

## Aptitude Interview Questions on Algebra

The cost to rent a construction crane is (750 per day plus)250 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed \$2500 per day?

Ans: 7.0

How many different 6-letter arrangements can be formed using the letters in the word ABSENT if each letter is used only once?

Ans: 720

The height of a triangle is 4 inches greater than twice its base. The area of the triangle is 168 square inches. What is the base of the triangle?

Ans: 12 in

Evaluate 1! 2! 3!?

Ans: 9

What is reduced to lowest  (x2?4xy 4y2)/(3xy?6y2) terms?

Ans: (x?2y)/3y

Which statement best explains why there is no real solution to the quadratic equation 2×2 x 7=0?

Ans: The value of 1^2-4.2.7 i is negative

Simplify (6×2 21x 9)/(4×2?1) to lowest terms?

Ans: 3(x 3)/(2x-1)

What is the solution to the inequality x-5>14?

Ans: x>19

## Aptitude Questions on Percentage

In an examination, 70% of candidates passed in prelims, and 55% of candidates passed in Mains. If 62% of candidates passed in both these subjects, then what percent of candidates failed in both the exams?

Ans: 37%

Deepika went to a fruit shop with a certain amount of money. She retains 15% of her money for the auto fare. She can buy either 40 apples or 70 oranges with that remaining amount. If she buys 35 oranges, how many more apples she can buy?

Ans: 20

In a class, 60% of the students are boys and in an examination, 80% of the girls scored more than 40 marks(Maximum Marks:150). If 60% of the total students scored more than 40 marks in the same exam, what is the fraction of the boys who scored 40 marks or less

Ans: 8/15

Last year there were 610 boys in a school. The number decreased by 20 percent this year. How many girls are there in the school if the number of girls is 175 percent of the total number of boys in the school this year?

Ans: 854

In a college election, 35% voted for Person A, whereas 42% voted for Person B. The remaining people did not vote for any person. If the difference between those who vote for Person B in the election and those who are uncertain was 570, how many people are participated in the college election?

Ans: 2000

In a factory, there are three types of bulbs L1, L2, and L3 which produce 20%, 15%, and 32% of the total products respectively. L1, L2, and L3 produce 3%, 7%, and 2% defective products, respectively. Find the percentage of non-defective products?

Ans: 64%

The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is:

Ans: 78%

The prices of the two articles are in the ratio 3: 4. If the price of the first article is increased by 10% and that of the second by Rs. 4, the original ratio remains the same. The original price of the second article is:

Ans: 40

In an election, 10% of the voters on the voters’ list did not cast votes and 60 voters cast their ballot papers blank. There were only two candidates. The winner was supported by 47% of all voters in the list and he got 308 votes more than his rival. The number of voters on the list was:

Ans: 6200

Fresh fruits contain 75% while dry fruits contain 20% water. If the weight of dry fruits is 300 kg, what was its total weight when it was fresh?

Ans: 960kg

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