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Fresh Grapes contain 90% water by weight. Dried grapes contain 20% water by percentage. What will be the weight of dried grapes when we begin with 20 kg of fresh grapes?
(a) 2 kg
(b) 2.4 kg
(c) 2.5 kg (Ans)
(d) None
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How many 5-digit numbers can be formed with digits 1, 2, 3, 4, 5, 6, which are divisible by 4 and digits not repeated?
(a) 144
(b) 168
(c) 192 (Ans)
(d) None
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There is a rectangular garden whose length and width are 60 m and 20 m. There is a walkway of uniform width around the garden. The area of the walkway is 516 m². Find the width of the walkway.
(a) 1
(b) 2
(c) 3 (Ans)
(d) 4
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If \(1 = (3/4)(1 + (y/x))\), then:
(a) \(x = 3y\) (Ans)
(b) \(x = y/3\)
(c) \(x = (2/3)y\)
(d) None
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The sum of six consecutive odd numbers is 888. What is the average of the numbers?
(a) 147
(b) 148 (Ans)
(c) 149
(d) 146
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Sequence: 1, 27, 125, ?, 729, 1331. Find the missing number.
Answer: 343 (Ans)
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Find the approximate value of \(39.987 / 0.8102 + 1.987 \times 18.02\):
(a) 72
(b) 56
(c) 86 (Ans)
(d) 44
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A certain number of bullets were shared by 3 people equally. Each of them fired 4 bullets and the sum of the remaining bullets was equal to the initial share each had got. What was the initial number of bullets?
1) 20
2) 18
3) 16
4) 14
Answer: 2
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A person was fined for exceeding the speed limit by 10 mph. Another person was also fined for exceeding the same speed limit by twice the same. If the second person was traveling at a speed of 35 mph, find the speed limit.
1) 20 mph
2) 15 mph
3) 18 mph
4) 22 mph
Answer: 1
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If a car starts from A towards B with some velocity, due to some problem in the engine, after travelling 30 km, the car goes with 4/5th of its actual velocity. The car reaches B 45 minutes later than the actual time. If the car engine fails after travelling 45 km, the car reaches the destination B 36 minutes late. What is the initial velocity of the car and what is the distance between A and B in km?
1) 40 & 100
2) 10 & 150
3) 20 & 130
4) 50
Answer: 3
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If the operation ^ is defined by the equation x ^ y = 2x + y, what is the value of a in 2 ^ a = a ^ 3?
1) 0
2) 1
3) -1
4) 4
Answer: 2
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If 9x - 3y = 12 and 3x - 5y = 7, then 6x - 2y = ?
1) -5
2) 4
3) 2
4) 8
Answer: 4
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If a and b are positive integers and (a - b)/3.5 = 4/7, then
1) b < a
2) b > a
3) b = a
4) b ≥ a
Answer: 1
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A coffee shop blends 2 kinds of coffee, putting in 2 parts of a 33p/gm grade to 1 part of a 24p/gm. If the mixture is changed to 1 part of the 33p/gm to 2 parts of the less expensive grade, how much will the shop save in blending 100 gm?
1) Rs. 90
2) Rs. 1.00
3) Rs. 3.00
4) Rs. 8.00
Answer: 3
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Two thirds of three fifths of one fourth of a number is 24. What is 40% of that number?
1) 96
2) 72
3) 120
4) 156
Answer: 1
Explanation: Let the number be x, then X * 2/3 * 3/5 * ¼ = 24 x = 240. Hence 40% of 240 = 40/100 * 240 = 96
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There are 200 questions on a 3-hour examination. Among these questions are 50 Mathematics problems. It is suggested that twice as much time be spent on each maths problem as for each other question. How many minutes should be spent on Mathematics problems?
1) 36
2) 72
3) 60
4) 100
Answer: 2