Simple Equations MCQs for Entry Test with Answers and Explanations [PDF]

A bag contains equal number of Rs.5, Rs.2 and Re.1 coins. If the total amount in the bag is Rs.1152, find the number of coins of each kind?

Option A: 432

Option B: 288

Option C: 144

Option D: 72

Correct Answer: 144 ✔

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Arslan and Bilal have some marbles with them. Arslan told Bilal “if you give me ‘x’ marbles, both of us will have equal number of marbles”. Bilal then told Arslan “if you give me twice as many marbles, I will have 30 more marbles than you would”. Find ‘x’?

Option A: 4

Option B: 5

Option C: 6

Option D: 8

Correct Answer: 5 ✔

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Atif ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Atif paid the cashier was Rs.961. Find the cost of each ice-cream cup?

Option A: Rs.25

Option B: Rs.22.50

Option C: Rs.20

Option D: Rs.17.50

Correct Answer: Rs.25 ✔

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Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?

Option A: 9, 11, 13

Option B: 11, 13, 15

Option C: 13, 15, 17

Option D: 7, 9, 11

Correct Answer: 7, 9, 11 ✔

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There are some rabbits and peacocks in a zoo. The total number of their heads is 60 and total number of their legs is 192. Find the number of total rabbits?

Option A: 30

Option B: 46

Option C: 40

Option D: 44

Correct Answer: None of these ✔

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On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 360 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?

Option A: 600

Option B: 620

Option C: 500

Option D: 520

Correct Answer: None of these ✔

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Eight years ago, Zahid’s age was 4/3 times that of Shahid. Eight years hence, Zahid’s age will be 6/5 times that of Shahid. What is the present age of Zahid?

Option A: 30 years

Option B: 40 years

Option C: 32 years

Option D: 48 years

Correct Answer: 40 years ✔

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Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?

Option A: Rs.400

Option B: Rs.500

Option C: Rs.300

Option D: Rs.600

Correct Answer: Rs.500 ✔

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P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?

Option A: Rs.3000

Option B: Rs.3600

Option C: Rs.2400

Option D: Rs.4000

Correct Answer: Rs.2400 ✔

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A bag contains a total of 93 coins in the form of one rupee and 50 paise coins. If the total value of coins in the bag is Rs.56, find the number of 50 paise coins in the bag?

Option A: 60

Option B: 56

Option C: 64

Option D: 74

Correct Answer: 74 ✔

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The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?

Option A: Rs.32

Option B: Rs.28

Option C: Rs.36

Option D: Rs.25

Correct Answer: None of these ✔

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The sum of four consecutive even numbers is 292. What would be the smallest number?

Option A: 74

Option B: 76

Option C: 70

Option D: 68

Correct Answer: 70 ✔

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the present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?

Option A: 43 years

Option B: 40 years

Option C: 48 years

Option D: 45 years

Correct Answer: 45 years ✔

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Ten years ago, the age of Aftab was one-third the age of Kashif at that time. The present age of Kashif is 12 years more than the present age of Aftab. Find the present age of Aftab?

Option A: 14

Option B: 16

Option C: 18

Option D: 20

Correct Answer: 16 ✔

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Masood’s age 18 years hence will be thrice his age four years ago. Find Masood’s present age?

Option A: 12 years

Option B: 21 years

Option C: 18 years

Option D: 9 years

Correct Answer: None of these ✔

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When 2 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?

Option A: 40

Option B: 50

Option C: 60

Option D: 70

Correct Answer: 60 ✔

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In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number?

Option A: 975

Option B: 753

Option C: 642

Option D: 684

Correct Answer: None of these ✔

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The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?

Option A: 49

Option B: 94

Option C: 83

Option D: Either (a) or (b)

Correct Answer: 94 ✔

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The sum of five consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?

Option A: 248

Option B: 240

Option C: 228

Option D: 236

Correct Answer: 240 ✔

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In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?

Option A: 8

Option B: 12

Option C: 6

Option D: 14

Correct Answer: 12 ✔

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The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?

Option A: 93

Option B: 39

Option C: 75

Option D: 48

Correct Answer: Either (a) or (b) ✔

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The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?

Option A: 1

Option B: 2

Option C: 3

Option D: 4

Correct Answer: 2 ✔

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Solve the equation for x : 6x – 27 + 3x = 4 + 9 – x

Option A: 4

Option B: 5

Option C: 6

Option D: -4

Correct Answer: 4 ✔

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Solve the equation for x : 19(x + y) + 17 = 19(-x + y) – 21

Option A: -1

Option B: -2

Option C: -3

Option D: -4

Correct Answer: -1 ✔

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The cost of 2 chairs and 3 tables is Rs.1300. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by__________?

Option A: Rs.70

Option B: Rs.75

Option C: Rs.50

Option D: Rs.60

Correct Answer: None of these ✔

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The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?

Option A: 2/3

Option B: 3/5

Option C: 4/7

Option D: 5/9

Correct Answer: 5/9 ✔

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The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?

Option A: Rs.849.40

Option B: Rs.877.40

Option C: Rs.901.60

Option D: Rs.815.20

Correct Answer: Rs.877.40 ✔

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