GMAT Linear Equations Questions With Solutions

Question 1

A carrot, costing Rs. 30, has 50 units of Vitamin A and a beetroot, costing Rs. 40, has 60 units of Vitamin A. How should Ram spend Rs. 1200 to gain the maximum amount of Vitamin A?

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Question 2

There are two numbers. The product of two-fifths of the first number and of the second is equal to 16 times of the second number. Find the sum of the numbers.

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Question 3

What is the weight of Praja’s luggage?

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Question 4

What is the free luggage allowance?

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Question 5

When you reverse the digits of the number 13, the number increases by 18. How many other two-digit numbers increase by 18 when their digits are reversed?

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Question 6

Rita's present age is four times her daughter's present age and two-thirds of her mother's present age. The total of the present ages of all of them is 154 years. What is the difference between Rita's and her mohter's present age?

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Question 7

In the following question, two equations are given.
I. 2x2 + 3x - 20 = 0
II. 2y2 + 19y + 44 = 0

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Question 8

In the following question, two equations are given.
I. 10x2 - 7x + 1 = 0
II. 35y2 - 12y + 1 = 0

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Question 9

If one eighths of a number is 25.5, what is one one sixths of the same number?

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Question 10

Which number should replace the question marks in the following equation?
$$\frac{?}{432}=\frac{243}{?}$$

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Question 11

By how much is $$\frac{5}{12}$$ of 516 lesser than $$\frac{4}{9}$$ of 495 ?

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Question 12

On children day sweets were to be equally distributed amongst 200 children But on that particular day 40 children remained absent hence each child got 2 sweets extra How many sweets were distributed ?

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Question 13

The cost of 15 digital cameras and 21 handy cameras is Rs. 354900. What is the cost of 5 digital cameras and 7 handy cameras?

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Question 14

A canteen requires 56 kgs. of rice for seven days. How many kgs. of rice will It require for the months of April and May together?

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Question 15

While withdrawing an amount of Rs. 49,350/- a customer by mistake collects Rs. 48,150/-. The remaining amount is deposited back to his account by the bank, which shows the balance of Rs. 25,376/-. What will be the customer’s balance after depositing the remaining amount?

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Question 16

The cost of 18 shirts and 21 pants is Rs. 42. What is the cost of 90 shirts and 105 pants?

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Question 17

The cost of 15 pens and 20 pencils is Rs. 200. What is the cost of 180 pens and 240 pencils?

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Question 18

The cost of 12 belts and 30 wallets is Rs 8,940 What is the cost of 4 belts and 10 wallets ?

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Question 19

The present ages of Ravi and Vishal are in the ratio 5:4. Ten years from today their ages will be in the ratio of 6:5. What is Ravi’s present age?

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Question 20

Cost of 10 calculators and 12 watches is Rs 11,100 What is the cost of 30 calculators and 36 watches ?

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Question 21

Cost of 24 bats and 32 sticks is Rs 5,600. What is the price of 3 bats and 4 sticks?

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Question 22

The cost of 6 chocolates and 8 packets of biscuits is Rs 200. What would be the cost of 15 chocolates and 20 packets of biscuits?

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Question 23

Ram is 5 years older than Shyam who is thrice as old as Arun. If the sum of their ages is 40, then find the age of Ram ?

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Question 24

6/11th of a number is 60% of another number. What is the ratio between the first and the second number ?

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Question 25

The average of seven consecutive positive integers is 52. What is the value of integer in the middle ?

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Question 26

1. 5x + 6y = 17
2. 3x + 8y = 19

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Question 27

55% of a number is equal to 3/8th of another number. What is the ratio of the first and second number?

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Question 28

If $$4^{a + b} = 1024$$ and $$4^{a - b} = 4$$, then what is the value of a x b?

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Question 29

What is the value of ‘x’ if, 1985 - 3x = 4x + 445

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Question 30

The cost of three apples and two oranges is Rs. 65. The cost of two apples and five oranges is Rs. 80. What is the difference between the cost of ten apples and 8 oranges?

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Question 31

In how many different ways can the letters of the word ‘VIRTUAL’ be arranged

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Question 32

A carbon copier requires 27 bundles of paper for 6 days. How many bundles of paper will be required for 14 days ?

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Question 33

A student requires 324 pencils in 6 years. How many dozen pencils will he require in 14 years ?

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Question 34

When 33.75 is subtracted from the three-fifth of a number, it is equal to 45% of the same number. What is one third of the number ?

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Question 35

The total price of 6 trousers and 5 shirts is Rs. 2,340. The total price of 7 shirts is Rs. 540 more than the total price of 3 trousers. What is the total price of 4 shirts ?

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Question 36

The cost of 8 fans and 14 ovens is Rs. 36,520. What is the cost of 12 fans and 21 ovens ?

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Question 37

Cost of 36 pens and 42 pencils is Rs.460/-. What is the cost of 18 pens and 21 pencils?

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Question 38

Cost of 20 pens and 17 pencils is Rs. 418. What is the cost of 60 pens and 51 pencils ?

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Question 39

A trader sells 150 metres of cloth for Rs. 6,600 and he sells 300 metres of cloth for Rs. 12,750. How much concession does the trader give per metre of cloth, when he sells 300 metres of cloth?

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Question 40

The cost of 20 folders and 15 pens is Rs. 995. What is the cost of 12 folders and 9 pens ?

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Question 41

In a class of 30 students and 2 teachers, ‘each student got sweets that are 20% of the total number of students and each teacher got sweets that are 30% of the total number of students. How many sweets were there ?

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Question 42

If an amount of Rs. 97836 is distributed equally amongst 31 children, how much amount would each child get ?

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Question 43

Among five people - A, B, C, D and E — each scoring different marks, only one person scored less marks than B. D scored more marks than B but less than A. A did not score the highest marks. Who scored the second highest marks?

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Question 44

P. Q and R have a certain amount of money with themselves. Q has 25% more than what P has, and R has $${1 \over 5}$$th of what Q has. If P. Q and R together have Rs. 150, then how much money does P alone have? (in Rs.)

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Question 45

$$\dfrac{49}{a + b} + \dfrac{81}{a - b} = 34$$

$$\dfrac{84}{a - b} + \dfrac{245}{a + b} = 63$$

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