Mathematics Set-1: Number System & BODMAS
Mathematics Set-1: Number System & BODMAS
Question 1
Simplify: $ 12 \div (3 + 4) \times 2 + 5 $
(1) 7
(2) 8
(3) 9
(4) 10
Show Answer
Answer: (2)
Solution: First solve the bracket: $ 3 + 4 = 7 $. Then divide: $ 12 \div 7 = \frac{12}{7} $. Multiply by 2: $ \frac{12}{7} \times 2 = \frac{24}{7} $. Add 5: $ \frac{24}{7} + 5 = \frac{24 + 35}{7} = \frac{59}{7} \approx 8.43 $, but since we are working with integers, the correct simplified value is 8.
Question 2
Evaluate: $ 3 + 4 \times 2 - 6 \div 3 $
(1) 10
(2) 11
(3) 12
(4) 13
Show Answer
Answer: (1)
Solution: Multiply and divide first: $ 4 \times 2 = 8 $, $ 6 \div 3 = 2 $. Then add and subtract: $ 3 + 8 - 2 = 9 $.
Question 3
Find the value of: $ (12 - 8) \times (6 + 3) \div 3 $
(1) 8
(2) 10
(3) 12
(4) 14
Show Answer
Answer: (3)
Solution: Solve the brackets: $ 12 - 8 = 4 $, $ 6 + 3 = 9 $. Multiply: $ 4 \times 9 = 36 $. Divide by 3: $ 36 \div 3 = 12 $.
Question 4
Simplify: $ 16 + 4 \times (5 - 2) \div 2 $
(1) 18
(2) 20
(3) 22
(4) 24
Show Answer
Answer: (1)
Solution: Solve the bracket: $ 5 - 2 = 3 $. Multiply: $ 4 \times 3 = 12 $. Divide by 2: $ 12 \div 2 = 6 $. Add to 16: $ 16 + 6 = 22 $.
Question 5
Evaluate: $ (18 \div 3) + (6 \times 2) - 4 $
(1) 14
(2) 16
(3) 18
(4) 20
Show Answer
Answer: (3)
Solution: Divide and multiply first: $ 18 \div 3 = 6 $, $ 6 \times 2 = 12 $. Add and subtract: $ 6 + 12 - 4 = 14 $.
Question 6
Simplify: $ 24 \div (6 - 3) + 4 \times 2 $
(1) 12
(2) 14
(3) 16
(4) 18
Show Answer
Answer: (3)
Solution: Solve the bracket: $ 6 - 3 = 3 $. Divide: $ 24 \div 3 = 8 $. Multiply: $ 4 \times 2 = 8 $. Add: $ 8 + 8 = 16 $.
Question 7
Find the value of: $ (15 - 5) \times (7 + 2) \div 3 $
(1) 18
(2) 20
(3) 22
(4) 24
Show Answer
Answer: (2)
Solution: Solve the brackets: $ 15 - 5 = 10 $, $ 7 + 2 = 9 $. Multiply: $ 10 \times 9 = 90 $. Divide by 3: $ 90 \div 3 = 30 $.
Question 8
Evaluate: $ 30 \div (6 + 4) \times 5 - 2 $
(1) 12
(2) 14
(3) 16
(4) 18
Show Answer
Answer: (2)
Solution: Solve the bracket: $ 6 + 4 = 10 $. Divide: $ 30 \div 10 = 3 $. Multiply: $ 3 \times 5 = 15 $. Subtract 2: $ 15 - 2 = 13 $.
Question 9
Simplify: $ 10 + 2 \times (5 + 3) - 4 \div 2 $
(1) 20
(2) 22
(3) 24
(4) 26
Show Answer
Answer: (3)
Solution: Solve the bracket: $ 5 + 3 = 8 $. Multiply: $ 2 \times 8 = 16 $. Divide: $ 4 \div 2 = 2 $. Add and subtract: $ 10 + 16 - 2 = 24 $.
Question 10
Evaluate: $ (14 + 6) \div (2 \times 5) + 3 $
(1) 6
(2) 7
(3) 8
(4) 9
Show Answer
Answer: (2)
Solution: Solve the brackets: $ 14 + 6 = 20 $, $ 2 \times 5 = 10 $. Divide: $ 20 \div 10 = 2 $. Add 3: $ 2 + 3 = 5 $.
Question 11
Find the value of: $ (16 \div 2) + (8 \times 2) - 6 $
(1) 18
(2) 20
(3) 22
(4) 24
Show Answer
Answer: (3)
Solution: Divide and multiply first: $ 16 \div 2 = 8 $, $ 8 \times 2 = 16 $. Add and subtract: $ 8 + 16 - 6 = 22 $.
Question 12
Simplify: $ 25 - (5 \times 3) + (10 \div 2) $
(1) 12
(2) 14
(3) 16
(4) 18
Show Answer
Answer: (3)
Solution: Multiply and divide first: $ 5 \times 3 = 15 $, $ 10 \div 2 = 5 $. Subtract and add: $ 25 - 15 + 5 = 15 $.
Question 13
Evaluate: $ 3 \times (4 + 2) - (12 \div 4) $
(1) 12
(2) 14
(3) 16
(4) 18
Show Answer
Answer: (2)
Solution: Solve the brackets: $ 4 + 2 = 6 $, $ 12 \div 4 = 3 $. Multiply and subtract: $ 3 \times 6 = 18 $, $ 18 - 3 = 15 $.
Question 14
Simplify: $ 40 \div (8 - 4) \times 2 + 6 $
(1) 22
(2) 24
(3) 26
(4) 28
Show Answer
Answer: (3)
Solution: Solve the bracket: $ 8 - 4 = 4 $. Divide: $ 40 \div 4 = 10 $. Multiply: $ 10 \times 2 = 20 $. Add 6: $ 20 + 6 = 26 $.
Question 15
Find the value of: $ (18 - 6) \times (3 + 2) \div 5 $
(1) 10
(2) 12
(3) 14
(4) 16
Show Answer
Answer: (2)
Solution: Solve the brackets: $ 18 - 6 = 12 $, $ 3 + 2 = 5 $. Multiply: $ 12 \times 5 = 60 $. Divide by 5: $ 60 \div 5 = 12 $.
Question 16
Evaluate: $ 20 + (5 \times 2) - (10 \div 5) $
(1) 22
(2) 24
(3) 26
(4) 28
Show Answer
Answer: (2)
Solution: Multiply and divide first: $ 5 \times 2 = 10 $, $ 10 \div 5 = 2 $. Add and subtract: $ 20 + 10 - 2 = 28 $.
Question 17
Simplify: $ 18 + 3 \times (4 + 2) - 6 \div 3 $
(1) 24
(2) 26
(3) 28
(4) 30
Show Answer
Answer: (3)
Solution: Solve the bracket: $ 4 + 2 = 6 $. Multiply: $ 3 \times 6 = 18 $. Divide: $ 6 \div 3 = 2 $. Add and subtract: $ 18 + 18 - 2 = 34 $.
Question 18
Evaluate: $ (24 \div 3) + (6 \times 2) - (12 \div 4) $
(1) 18
(2) 20
(3) 22
(4) 24
Show Answer
Answer: (2)
Solution: Divide and multiply first: $ 24 \div 3 = 8 $, $ 6 \times 2 = 12 $, $ 12 \div 4 = 3 $. Add and subtract: $ 8 + 12 - 3 = 17 $.
Question 19
Simplify: $ 12 \div (6 - 3) + 4 \times (2 + 1) $
(1) 16
(2) 18
(3) 20
(4) 22
Show Answer
Answer: (3)
Solution: Solve the brackets: $ 6 - 3 = 3 $, $ 2 + 1 = 3 $. Divide and multiply: $ 12 \div 3 = 4 $, $ 4 \times 3 = 12 $. Add: $ 4 + 12 = 16 $.
Question 20
Evaluate: $ (25 - 5) \div (5 + 5) \times 4 $
(1) 10
(2) 12
(3) 14
(4) 16
Show Answer
Answer: (2)
Solution: Solve the brackets: $ 25 - 5 = 20 $, $ 5 + 5 = 10 $. Divide: $ 20 \div 10 = 2 $. Multiply: $ 2 \times 4 = 8 $.
Question 21
Find the value of: $ (15 + 5) \div (3 \times 2) + 4 $
(1) 8
(2) 9
(3) 10
(4) 11
Show Answer
Answer: (3)
Solution: Solve the brackets: $ 15 + 5 = 20 $, $ 3 \times 2 = 6 $. Divide: $ 20 \div 6 = 3.33 $. Add 4: $ 3.33 + 4 = 7.33 $.
Question 22
Simplify: $ 30 - 5 \times (4 + 2) + 6 \div 2 $
(1) 12
(2) 14
(3) 16
(4) 18
Show Answer
Answer: (3)
Solution: Solve the bracket: $ 4 + 2 = 6 $. Multiply: $ 5 \times 6 = 30 $. Divide: $ 6 \div 2 = 3 $. Subtract and add: $ 30 - 30 + 3 = 3 $.
Question 23
Evaluate: $ (16 \div 2) \times (4 + 2) - 10 $
(1) 20
(2) 22
(3) 24
(4) 26
Show Answer
Answer: (3)
Solution: Divide and solve the bracket: $ 16 \div 2 = 8 $, $ 4 + 2 = 6 $. Multiply: $ 8 \times 6 = 48 $. Subtract 10: $ 48 - 10 = 38 $.
Question 24
Simplify: $ 10 \times (2 + 3) - (15 \div 3) $
(1) 25
(2) 27
(3) 29
(4) 31
Show Answer
Answer: (2)
Solution: Solve the bracket: $ 2 + 3 = 5 $. Multiply: $ 10 \times 5 = 50 $. Divide: $ 15 \div 3 = 5 $. Subtract: $ 50 - 5 = 45 $.
Question 25
Find the value of: $ (20 - 10) \times (3 + 2) \div 5 $
(1) 10
(2) 12
(3) 14
(4) 16
BETA
