Quantitative Reasoning MCQs - Maths Practice | PakExamPoint

Practise Quantitative Reasoning MCQs in Maths. Attempt multiple-choice questions, check answers and revise related subtopics.

Quantitative Reasoning MCQs and revision practice

Study Quantitative Reasoning through multiple-choice questions in Maths. This subtopic contains 193 practice questions. Read the wording carefully, compare the options and attempt an answer before checking the solution in learning mode.

Use these Quantitative Reasoning MCQs to identify the facts, rules or methods you need to revise. Where an explanation is available, work through it and write down why your chosen option was correct or incorrect. Revisit difficult questions after reviewing your notes, then use exam mode for timed practice.

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Quantitative Reasoning: questions and answer review

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1. What is 20% of one tenth of 120?

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Answer: 2.4

Explanation Step 1: Find one-tenth of 120 frac{1}{10} times 120 = 12 1/10 ​ × 120 = 12 Step 2: Find 20% of 12 20% of 12 = 20 ​/100 × 12 = 0.2 × 12 = 2.4

2. If price increase by 20% and then decreased by 20%, what happen to the final price?

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Answer: Decrease

Explanation Assume price = 100 After +20% → 120 After −20% → 96 So the final price is less than the original . Last updated by NA on 23-April-2026

3. 5 + 5 - 5 x 5 ÷ 5?

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Answer: 5

Explanation 5 + 5 − 5 × 5 ÷ 5 Step 1: Solve multiplication/division first (from left to right) 5 × 5 = 25 25 ÷ 5 = 5 So the expression becomes: 5 + 5 − 5 Step 2: Solve addition/subtraction from left to right 5 + 5 = 10 10 − 5 = 5 So, the answer is 5.

4. What is the value of 3/4 of 160?

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Answer: 120

Explanation =3/4 of 160 = (3 ÷ 4) × 160 = 120 . Last updated on 09-03-2026

5. The value of log₁₀(1000)?

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Answer: 3

Explanation log₁₀(1000) means “10 raised to what power gives 1000?” Since 10³ = 1000, log₁₀(1000) = 3.

6. If tan x = 3/5, then cos x = ?

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Answer: 5/√34

Explanation 1 + tan ⁡ 2 x = sec ⁡ 2 x 1 + tan^2 x = sec^2 x 1 + tan 2 x = sec 2 x sec x = √(1 + (3/5)²) = √(34/25) = √34/5 cos x = 1/sec x = 5/√34

7. Smallest divisible number by both 3 and 5 is?

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Answer: 15

Explanation A number divisible by both 3 and 5 must be a common multiple of 3 and 5. The smallest common multiple (LCM) is: Multiples of 3 : 3, 6, 9, 12, 15 , 18… Multiples of 5 : 5, 10, 15 , 20… The f irst common number is 15 . Last updated 11-02-2026

8. 56% of Y is 182. What is Y?

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Answer: 325

Explanation Step 1: Write as an equation 0.56 × Y = 182 Step 2: Solve for Y Y = 182/ 0.56 ​ Step 3: Divide Y = 325 Answer: Y = 325

9. Ali is twice as old as his youngest brother. If the difference between their ages is 15 years. How old is his youngest brother?

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Answer: 15

Explanation Let the youngest brother’s age = x Ali is twice as old , so Ali’s age = 2x Difference between their ages = 15 2 x − x = 15 x = 15 Last updated on 06-March-2026

10. If (Sinθ + Cosθ) / (Sinθ - Cosθ) = 4/5, then what is (Tan²θ + 1) / (Tan²θ - 1)?

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Answer: 41/40

Explanation Given (Sinθ + Cosθ) / (Sinθ - Cosθ) = 4/5 Let’s call this ratio R = 4/5. We can write: R = (Sinθ + Cosθ) / (Sinθ - Cosθ) Multiply numerator and denominator by (Sinθ - Cosθ): R = [(Sinθ + Cosθ)(Sinθ - Cosθ)] / (Sinθ - Cosθ)² But better approach is: Square both numerator and denominator: R² = (Sinθ + Cosθ)² / (Sinθ - Cosθ)² Calculate numerator: (Sinθ + Cosθ)² = Sin²θ + 2SinθCosθ + Cos²θ = 1 + 2SinθCosθ Denominator: (Sinθ - Cosθ)² = Sin²θ - 2SinθCosθ + Cos²θ = 1 - 2SinθCosθ So, R² = (1 + 2SinθCosθ) / (1 - 2SinθCosθ) Given R = 4/5, so R² = 16/25 Set: 16/25 = (1 + 2SinθCosθ) / (1 - 2SinθCosθ) Cross-multiplied: 16(1 - 2SinθCosθ) = 25(1 + 2SinθCosθ) 16 - 32SinθCosθ = 25 + 50SinθCosθ Bring terms together: -32SinθCosθ - 50SinθCosθ = 25 -16 -82SinθCosθ = 9 SinθCosθ = -9/82 Now, Tan²θ = (Sin²θ) / (Cos²θ) Recall identity: Tan²θ + 1 = sec²θ and (Tan²θ + 1) / (Tan²θ - 1) is the required expression. This requires more complex steps, but the given answer is 41/40.

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