Question 1

Evaluate: 30 ÷ 5 + 3 × 2 − 1

Accepted Answer

Apply BODMAS: divide and multiply first (30 ÷ 5 = 6 and 3 × 2 = 6), then add and subtract left to right (6 + 6 − 1 = 11).

Question 2

Simplify: (2³)² ÷ 2⁴

Accepted Answer

Using the power rule (aᵐ)ⁿ = aᵐⁿ: (2³)² = 2⁶, then 2⁶ ÷ 2⁴ = 2⁽⁶⁻⁴⁾ = 2² = 4.

Question 3

What is the LCM of 12, 18, and 24?

Accepted Answer

Prime factorizations: 12 = 2² × 3, 18 = 2 × 3², 24 = 2³ × 3; LCM = 2³ × 3² = 8 × 9 = 72.

Question 4

A shopkeeper buys 5 notebooks at ₹8 each and 3 pens at ₹4 each. What is the total cost?

Accepted Answer

Apply BODMAS: perform multiplications first (5 × 8 = 40 and 3 × 4 = 12), then add (40 + 12 = 52).

Question 5

Identify the next term in the series: 5, 10, 20, 40, 80, ?

Accepted Answer

Each term is double the previous term (geometric series with ratio 2), so 80 × 2 = 160.

Question 6

A number is divisible by 6 if it is divisible by both 2 and 3. Which number is divisible by 6?

Accepted Answer

1452 is even (divisible by 2) and sum of digits = 1+4+5+2 = 12 (divisible by 3), so 1452 is divisible by 6.

Question 7

Find the next number in the series: 2, 5, 10, 17, 26, ?

Accepted Answer

The differences are 3, 5, 7, 9, 11 (consecutive odd numbers), so 26 + 11 = 37.

Question 8

A number is divisible by 4 if its last two digits form a number divisible by 4. Which number is NOT divisible by 4?

Accepted Answer

Last two digits of 7034 are 34, and 34 ÷ 4 = 8.5 (not whole), so 7034 is not divisible by 4.

Question 9

A number is divisible by 9 if the sum of its digits is divisible by 9. Which of the following numbers is divisible by 9?

Accepted Answer

Sum of digits of 2457 = 2+4+5+7 = 18, which is divisible by 9, so 2457 is divisible by 9.

Question 10

Simplify: 8 + 6 × 2 − 4

Accepted Answer

Apply BODMAS: multiply first (6 × 2 = 12), then add and subtract left to right (8 + 12 − 4 = 16).

Question 11

Convert the decimal 0.75 to a fraction in its simplest form.

Accepted Answer

0.75 = 75/100; dividing both numerator and denominator by their GCD of 25 gives 3/4.

Question 12

A shopkeeper sells 2/5 of his stock on Monday and 1/4 of his stock on Tuesday. What fraction of his stock remains unsold?

Accepted Answer

Stock sold = 2/5 + 1/4 = 8/20 + 5/20 = 13/20; remaining = 1 - 13/20 = 7/20.

Question 13

Express 1.25 as a mixed number fraction.

Accepted Answer

1.25 = 1 + 0.25 = 1 + 1/4, which is written as the mixed number 1 1/4.

Question 14

The LCM of two numbers is 120 and their HCF is 10. If one number is 40, what is the other number?

Accepted Answer

Using the formula: HCF × LCM = Product of two numbers, so 10 × 120 = 40 × second number; second number = 1200 ÷ 40 = 30.

Question 15

Simplify: (48 ÷ 6) + (7 × 5) - 12

Accepted Answer

Apply BODMAS: (48 ÷ 6) = 8, (7 × 5) = 35, then 8 + 35 - 12 = 31... wait: 8 + 35 = 43, 43 - 12 = 31. Actually the answer is 31, which is option B. Let me recalculate: 8 + 35 - 12 = 31. The correct answer is B.

Question 16

Approximate the value of √99 to the nearest whole number.

Accepted Answer

Since 10² = 100 and 99 is very close to 100, √99 ≈ 10.

Question 17

Simplify: (5 + 3) × (12 ÷ 4) - 6

Accepted Answer

Apply BODMAS: (5 + 3) = 8, (12 ÷ 4) = 3, then 8 × 3 - 6 = 24 - 6 = 18.

Question 18

Two numbers are 48 and 64. What is their HCF (Highest Common Factor)?

Accepted Answer

HCF of 48 and 64 is found using prime factorization: 48 = 2⁴ × 3 and 64 = 2⁶; common factors are 2⁴ = 16.

Question 19

What is the missing number in the series: 3, 6, 12, 24, 48, ?

Accepted Answer

Each term is multiplied by 2 (geometric series with common ratio 2), so 48 × 2 = 96.

Question 20

Express √80 in simplified surd form.

Accepted Answer

√80 = √(16 × 5) = √16 × √5 = 4√5 using the property √(ab) = √a × √b.

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