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Mathematical Reasoning Practice Set

1. If ‘+’ means ‘–’ ‘–’ means ‘×’ ‘÷’ means ‘+’ and ‘×’ means ‘÷’,
then 10 × 5 ÷ 3 – 2 + 3 = ?
A. 5
B. 21
C. 533
D. 18

Answer: Option A
Explanation: 10 × 5 ÷ 3 – 2 + 3 = ?
or, ? = 10 ÷ 5 + 3 × 2 – 3
or, ? = 2 + 6 – 3 = 5

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2. If ‘+’ means ‘÷’, ‘–’ means ‘×’, ‘÷’ means ‘+’ and ‘×’ means ‘–’,
then 63 × 24 + 8 ÷ 4 + 2 – 3 = ?
A. 54
B. 66
C. 186
D. 48

Answer: Option B
Explanation:63 × 24 + 8 ÷ 4 + 2 – 3 = ?
or, ? = 63 – 24 ÷ 8 + 4 ÷ 2 × 3
or, ? = 63 – 3 + 2 × 3
or, ? = 66

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3. Which one of the following is correct?

निम्नलिखित में से कौन सा सही है?
6 * 4 * 9 * 15
A. ×, = , –
B. ×, –, =
C. =, ×, –
D. –, ×, =

Answer: Option B
Explanation: 6 × 4 – 9 = 15

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4. If > = ÷, ∨ = ×, < = +, ∨ = –, + = <, × = =, – = >
A. 6 > 2 > 3 ∨ 8 ∨ 4 + 13
B. 6 ∨ 2 < 3 > 8 < 4 – 13
C. 6 ∨ 2 < 3 ∨ 8 > 4 × 13
D. 6 > 2 ∨ 3 < 8 ∨ 4 + 13

Answer: Option C
Explanation:6 × 2 + 3 – 8 ÷ 4 = 13
6 × 2 + 3 – 2 = 13
12 + 3 – 2 = 13
15 – 2 = 13

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5. Find out the correct answer for the unsolved equation on the basis of the given equations

दिए गए समीकरणों के आधार पर अनसुलझी समीकरण के लिए सही उत्तर का पता लगाएं
If 6 * 5 = 91, 8 * 7 = 169, 10 * 7 = 211,
then 11 * 10 = ?
A. 331
B. 993
C. 678
D. 845

Answer: Option A
Explanation:6 × 5 = 30, 30 × 3 + 1 = 91, 8 × 7 = 56, 56 × 3 + 1 =
169, 10 × 7 = 70, 70 × 3 + 1 = 211
Similarly 11 × 10 = 110, 110 × 3 + 1 = 331

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6. If ‘–’ stands for division, ‘+’ for multiplication ‘÷’for subtraction and ‘×’ for addition. Which one of the following equation is correct?
A. 6 ÷ 20 × 12 + 7 ÷ 1 = 70
B. 6 + 20 – 20 ÷ 7 × 1 = 62
C. 6 – 20 ÷ 12 × 7 + 1 = 57
D. 6 + 20 – 20 ÷ 7 – 1 = 38

Answer: Option A
Explanation:6 ÷ 20 × 12 + 7 – 1 = 70
L.H.S. = 6 – 20 + 12 × 7 ÷ 1
= 6 – 20 + 84
= 90 – 20 = 70 R. H.S.

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