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1. A farmer bought toffees at 6 for a rupee, How many for a rupee must he sell to gain 20%?
A) 3
B) 5
C) 4
D) 6
Explanation: If 6 toffees cost 1 rupee, 1 toffee costs 1/6 rupee. To gain 20%, selling price per toffee is (1/6) * 1.2 = 1/5 rupee, so 5 toffees per rupee.
2. To fill a tank 25 buckets of water are required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present capacity?
A) 30
B) 35
C) 62.5
D) None of these
Explanation: If the capacity is reduced to 2/5, then the number of buckets required will be 25 / (2/5) = 25 * (5/2) = 62.5 buckets.
3. The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of two selling prices is:
A) 51:52
B) 52:53
C) 53:54
D) 54:55
Explanation: Let the cost price be Rs. 100. Selling price at 4% profit = Rs. 104, at 6% profit = Rs. 106. Difference = Rs. 2. Therefore, the ratio is 104:106 = 52:53.
4. A shopkeeper raises the price of a cycle by 5 percent above the market price and charges 12 percent sales tax on the market price. As a result, a customer has to pay Rs. 4680 for the cycle. What is the market price of the cycle?
A) 4000
B) 4200
C) 3950
D) 4500
Explanation: Let the market price be Rs. x. Total price = x * 1.05 * 1.12 = 4680. Solving, x = 4680 / 1.176 = Rs. 4000.
5. In a 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this A beats B by:
A) 20 m
B) 24 m
C) 28 m
D) 30 m
Explanation: Speed of A = 100/36 m/s, Speed of B = 100/45 m/s. Distance covered by B in 36s = (100/45) * 36 = 80m. Therefore, A beats B by 100 - 80 = 20m.
6. Simplify the equation; 5 + 2 * 6 - 3 * 2 =?
A) 9
B) 12
C) 7
D) 5
Explanation: According to BODMAS, 5 + 2 * 6 - 3 * 2 = 5 + 12 - 6 = 11.
7. Multiply; 9 * 5.6 = ________
A) 50.4
B) 56
C) 58
D) 59
Explanation: 9 * 5.6 = 50.4.
8. PEACH is HCAEP then 26541 should be?
A) 62541
B) 14562
C) 56241
D) 14265
Explanation: The number sequence is reversed, so 26541 becomes 14562.
9. Complete the series 3, 4, 7, 8, 11, 12,.....?
A) 15
B) 18
C) 20
D) 21
Explanation: The series alternates adding 1 and 3, so the next number is 12 + 3 = 15.
10. A toy is sold for Rs.220. What was the cost if the rate of profit was 10% of the cost?
A) 200
B) 202
C) 198
D) 201
Explanation: Let the cost be Rs. x. Selling price = x + 10% of x = 1.1x = 220, so x = 220 / 1.1 = Rs. 200.
11. 2x + 7 = 19 then x =?
A) 6
B) 7
C) 8
D) 10
Explanation: Solving for x, 2x + 7 = 19 => 2x = 12 => x = 6.
12. 294 is multiplied by which positive number to give a perfect square?
A) 6
B) 7
C) 8
D) None of these
Explanation: 294 = 2 × 3 × 7^2. To make it a perfect square, multiply by 2 × 3 = 6, so the answer is 6.
13. If 1 inch = 60, then 2.5 inches is equal to?
A) 150
B) 120
C) 180
D) 140
Explanation: If 1 inch = 60, then 2.5 inches = 2.5 × 60 = 150.
14. Complete the series 2, 4, 6, 10, 28...?
A) 82
B) 88
C) 78
D) None of these
Explanation: The pattern is multiplying by 2, then adding 2. So, 28 * 3 + 2 = 82.
15. A is two years older than B who is twice as old as C. If the sum of the ages of A, B and C is 27, how old is B?
A) 10
B) 9
C) 11
D) 12
Explanation: Let C be x, B = 2x, A = 2x + 2. Then, x + 2x + 2x + 2 = 27 => 5x + 2 = 27 => 5x = 25 => x = 5. So, B = 2x = 10.
16. A cyclist covers a distance of 750 meters in 2 minutes and 30 seconds. What is his speed in km/hr?
A) 18 km/hr
B) 16 km/hr
C) 17 km/hr
D) 19 km/hr
Explanation: Time = 2.5 minutes = 2.5/60 hours = 1/24 hours. Speed = 0.75 km / (1/24) hours = 18 km/hr.
17. For ordered pair (2,4)
A) 2 is abscissa and 4 is ordinate
B) 2 is ordinate and 4 is abscissa
C) 2 and 4 both are abscissa
D) 2 and 4 both are ordinate
Explanation: In an ordered pair (x, y), x is the abscissa and y is the ordinate.
18. Complete the number series: 6, 3, 12, 6, 24, _____.
A) 12
B) 18
C) 30
D) 40
Explanation: The pattern alternates dividing by 2 and multiplying by 4. So, 24/2 = 12.
19. 423 is divisible by:
A) 21
B) 47
C) 17
D) 43
Explanation: 423 / 17 = 24.88, which is a whole number. Therefore, 423 is divisible by 17.
20. The total distance from school to house is 39 km. Abid covered a distance of 13 km. What percentage of the whole distance has he covered?
A) 31%
B) 29%
C) 33.33%
D) None of these
Explanation: (13/39) * 100 = 33.33%.
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