Mathematics Set-3: Arithmetic Operations
Mathematics Set-3: Arithmetic Operations
Question 1
The sum of two numbers is 48 and their difference is 12. Find the numbers.
(1) 30 and 18
(2) 25 and 23
(3) 24 and 24
(4) 32 and 16
Show Answer
Answer: (4)
Solution: Let the numbers be $ x $ and $ y $.
From the question:
$ x + y = 48 $
$ x - y = 12 $
Adding both equations:
$ 2x = 60 \Rightarrow x = 30 $
Substituting $ x = 30 $ in $ x + y = 48 $:
$ 30 + y = 48 \Rightarrow y = 18 $
Thus, the numbers are 30 and 18.
Question 2
What is the result of $ 324 \div 12 \times 3 $?
(1) 72
(2) 81
(3) 63
(4) 96
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Answer: (2)
Solution: Following the order of operations:
$ 324 \div 12 = 27 $
$ 27 \times 3 = 81 $
Question 3
The cost of 15 pens is ₹ 450. What is the cost of 1 pen?
(1) ₹ 30
(2) ₹ 25
(3) ₹ 40
(4) ₹ 20
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Answer: (1)
Solution:
$ \text{Cost of 1 pen} = \frac{450}{15} = 30 $
Question 4
A train travels 120 km in 2 hours. What is its average speed in km/h?
(1) 50
(2) 60
(3) 70
(4) 80
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Answer: (2)
Solution:
$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{120}{2} = 60 $ km/h
Question 5
What is the value of $ 5^2 + 3^3 $?
(1) 25
(2) 34
(3) 40
(4) 35
Show Answer
Answer: (3)
Solution:
$ 5^2 = 25 $, $ 3^3 = 27 $, so $ 25 + 27 = 52 $
Question 6
What is the result of $ 81 \div 9 + 7 \times 2 $?
(1) 25
(2) 23
(3) 19
(4) 21
Show Answer
Answer: (1)
Solution:
$ 81 \div 9 = 9 $, $ 7 \times 2 = 14 $, so $ 9 + 14 = 23 $
Question 7
The product of two numbers is 108 and their sum is 21. Find the numbers.
(1) 12 and 9
(2) 15 and 6
(3) 18 and 3
(4) 24 and 4
Show Answer
Answer: (1)
Solution: Let the numbers be $ x $ and $ y $.
From the question:
$ x + y = 21 $
$ x \times y = 108 $
Solving the quadratic equation $ x^2 - 21x + 108 = 0 $, we get roots 12 and 9.
Question 8
What is the value of $ 2^5 \times 2^3 $?
(1) 128
(2) 256
(3) 64
(4) 512
Show Answer
Answer: (2)
Solution:
$ 2^5 \times 2^3 = 2^{5+3} = 2^8 = 256 $
Question 9
What is the result of $ 72 - (18 + 9) \div 3 $?
(1) 57
(2) 63
(3) 59
(4) 61
Show Answer
Answer: (1)
Solution:
$ 18 + 9 = 27 $, $ 27 \div 3 = 9 $, so $ 72 - 9 = 63 $
Question 10
What is the value of $ 12 + 12 \div 3 \times 2 $?
(1) 16
(2) 24
(3) 18
(4) 20
Show Answer
Answer: (3)
Solution:
$ 12 \div 3 = 4 $, $ 4 \times 2 = 8 $, so $ 12 + 8 = 20 $
Question 11
What is the value of $ 6^2 - 3^2 $?
(1) 27
(2) 36
(3) 45
(4) 33
Show Answer
Answer: (1)
Solution:
$ 6^2 = 36 $, $ 3^2 = 9 $, so $ 36 - 9 = 27 $
Question 12
What is the value of $ 4^3 + 2^4 $?
(1) 72
(2) 64
(3) 68
(4) 70
Show Answer
Answer: (1)
Solution:
$ 4^3 = 64 $, $ 2^4 = 16 $, so $ 64 + 16 = 80 $
Question 13
What is the value of $ 12 \times 5 - 6 \div 3 $?
(1) 58
(2) 60
(3) 54
(4) 56
Show Answer
Answer: (1)
Solution:
$ 12 \times 5 = 60 $, $ 6 \div 3 = 2 $, so $ 60 - 2 = 58 $
Question 14
What is the result of $ 96 \div 6 + 12 $?
(1) 28
(2) 32
(3) 24
(4) 30
Show Answer
Answer: (2)
Solution:
$ 96 \div 6 = 16 $, so $ 16 + 12 = 28 $
Question 15
What is the value of $ 100 - (30 + 15) \times 2 $?
(1) 20
(2) 10
(3) 5
(4) 15
Show Answer
Answer: (2)
Solution:
$ 30 + 15 = 45 $, $ 45 \times 2 = 90 $, so $ 100 - 90 = 10 $
Question 16
What is the value of $ 7^2 + 5^2 $?
(1) 74
(2) 84
(3) 58
(4) 64
Show Answer
Answer: (1)
Solution:
$ 7^2 = 49 $, $ 5^2 = 25 $, so $ 49 + 25 = 74 $
Question 17
What is the value of $ 30 + 20 \div 4 \times 2 $?
(1) 35
(2) 40
(3) 30
(4) 25
Show Answer
Answer: (2)
Solution:
$ 20 \div 4 = 5 $, $ 5 \times 2 = 10 $, so $ 30 + 10 = 40 $
Question 18
What is the value of $ 10 \times 10 - 5 \times 2 $?
(1) 90
(2) 80
(3) 100
(4) 110
Show Answer
Answer: (1)
Solution:
$ 10 \times 10 = 100 $, $ 5 \times 2 = 10 $, so $ 100 - 10 = 90 $
Question 19
What is the value of $ 40 \div 5 + 6 \times 2 $?
(1) 28
(2) 30
(3) 24
(4) 32
Show Answer
Answer: (1)
Solution:
$ 40 \div 5 = 8 $, $ 6 \times 2 = 12 $, so $ 8 + 12 = 20 $
Question 20
What is the value of $ 18 + (12 - 6) \times 3 $?
(1) 30
(2) 24
(3) 42
(4) 36
Show Answer
Answer: (3)
Solution:
$ 12 - 6 = 6 $, $ 6 \times 3 = 18 $, so $ 18 + 18 = 36 $
Question 21
What is the value of $ 25 \times 4 - 10 \div 2 $?
(1) 90
(2) 100
(3) 85
(4) 95
Show Answer
Answer: (1)
Solution:
$ 25 \times 4 = 100 $, $ 10 \div 2 = 5 $, so $ 100 - 5 = 95 $
Question 22
What is the result of $ 12 \times 3 + 4 \times 5 $?
(1) 56
(2) 64
(3) 52
(4) 68
Show Answer
Answer: (2)
Solution:
$ 12 \times 3 = 36 $, $ 4 \times 5 = 20 $, so $ 36 + 20 = 56 $
Question 23
What is the value of $ 80 \div 10 + 5 \times 2 $?
(1) 20
(2) 18
(3) 22
(4) 16
Show Answer
Answer: (1)
Solution:
$ 80 \div 10 = 8 $, $ 5 \times 2 = 10 $, so $ 8 + 10 = 18 $
Question 24
What is the value of $ 6 \times 7 - 4 \times 3 $?
(1) 30
(2) 42
(3) 24
(4) 36
Show Answer
Answer: (1)
Solution:
$ 6 \times 7 = 42 $, $ 4 \times 3 = 12 $, so $ 42 - 12 = 30 $
Question 25
What is the value of $ 4^2 + 3^2 $?
(1) 25
(2) 20
(3) 15
(4) 10
Show Answer
Answer: (1)
Solution:
$ 4^2 = 16 $, $ 3^2 = 9 $, so $ 16 + 9 = 25 $
BETA
