Olympiad Test: Mathematical Reasoning - 2
10 Questions MCQ Test Mathematics Olympiad Class 7 | Olympiad Test: Mathematical Reasoning - 2
By selling an item in Rs. 720, Manish gains 20%. What is its cost price?
Let x be the cost price.
⇒ x + 20% of x = 720
Manoj is twice as old as Monu. 3 years ago Manoj was three times as old as Monu. What is the present age of Manoj?
Let Monu’s age = x
Manoj’s age = 2x
A/Q, 2x – 3 = 3 (x – 3)
⇒ 2x – 3 = 3x – 9
⇒ 3x – 2x = 9 – 3
⇒ x = 6
∴ Present age of Manoj = 2 × 6 = 12 years.
What is the product of all the numbers in the dial of a telephone?
The product of all the numbers in the dial of a telephone = 0
At the end of a meeting the ten persons present, all shake hands with each other once. What is the total number of handshakes altogether?
Total number of handshakes
= 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45
Direction: If + means ×, × means –, ÷ means + and ‘–‘ means ÷, then find the value in each of the following
175 – 25 ÷ 5 + 20 × 3 + 10 = ?
175 – 25 ÷ 5 + 20 × 3 + 10
= 175 ÷ 25 + 5 × 20 – 3 × 10
= 7 + 5 × 20 – 3 × 10
= 7 + 100 – 30
= 107 – 30 = 77
Direction: If + means ×, × means –, ÷ means + and ‘–‘ means ÷, then find the value in each of the following
225 – 15 + 9 × 15 ÷ 3 = ?
225 – 15 + 9 × 15 ÷ 3
= 225 ÷ 15 × 9 – 15 + 3
= 15 × 9 – 15 + 3
= 135 – 15 + 3 = 123
Direction: If + means ×, × means –, ÷ means + and ‘–‘ means ÷, then find the value in each of the following
23 ÷ 107 × 135 – 5 + 3 = ?
23 ÷ 107 × 135 – 5 + 3
= 23 + 107 – 135 ÷ 5 × 3
= 23 + 107 – 27 × 3
= 23 + 107 – 81
= 130 – 81 = 49
Direction: If + means ×, × means –, ÷ means + and ‘–‘ means ÷, then find the value in each of the following
297 × 57 × 345 – 15 + 11 ÷ 18
297 × 57 × 345 – 15 + 11 ÷ 18
= 297 – 57 – 345 ÷ 15 × 11 + 18
= 297 – 57 – 23 × 11 + 18
= 297 – 57 – 253 + 18
= 315 – 310 = 5
Direction: If + means ×, × means –, ÷ means + and ‘–‘ means ÷, then find the value in each of the following
78 – 13 + 7 × 6 ÷ 17 + 3
78 – 13 + 7 × 6 ÷ 17 + 3
= 78 ÷ 13 × 7 – 6 + 17 × 3
= 6 × 7 – 6 + 17 × 3
= 42 – 6 + 51
= 93 – 6 = 87
Direction: If + means ×, × means –, ÷ means + and ‘–‘ means ÷, then find the value in each of the following
123 × 4 + 7 ÷ 76 – 19 + 7
123 × 4 + 7 ÷ 76 – 19 + 7
= 123 – 4 × 7 + 76 ÷ 19 × 7
= 123 – 4 × 7 + 4 × 7
= 123 – 28 + 28
= 123
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