Quantitative Aptitude (Numerical Ability)

Q. The ratio of the numbers of blue to red balls in a bag is constant. When there were 44 red balls, the number of blue balls was 36. If the number of blue balls is 54, how many red balls will be in the bag?
1) 62
2) 64
3) 66
4) 68

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Q. The interest earned on Rs. 1,600 at the rate of 5% simple interest per annum for 6 years would be :
1) Rs. 450
2) Rs. 2,080
3) Rs. 480
4) Rs. 496

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Q. Sharan and Mayukh, working together, can complete a task in 18 days. However, Mayukh works alone and leaves after completing one-third of the task. Then, Sharan takes over and completes the remaining work by himself. As a result, the duo could complete the task in 40 days. How many days would Sharan alone have taken to do the job if Mayukh had worked faster than Sharan?
1) 24
2) 30
3) 45
4) 72

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Q. The mean height of 25 boys in a class is 150 cm, and the mean height of 35 girls in the same class is 145 cm. The combined mean height of 60 students in the class is ........ (approximately).
1) 147
2) 145
3) 143
4) 146

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Q. Three-fifths of my current age is the same as five-sixths of that of one of my cousins'. My age ten years ago will be his age four years hence. My current age is ........ years.
1) 60
2) 50
3) 45
4) 55

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Q. Rs. 750 invested for 3 months gave an interest of Rs.18. What was the simple rate of interest per annum?
1) 7.2%
2) 12%
3) 2.4%
4) 9.6%

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Q. A sum of money was invested at the rate of 7.5% simple interest per annum for 4 years. If the investment was for 5 years, the interest earned would have been Rs. 375 more. What was the initial sum invested?
1) Rs. 5,000
2) Rs. 3,750
3) Rs. 4,750
4) Rs. 4,500

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Q. The number of ways in which 3 boys and 2 girls can be arranged in a queue, given that the 2 girls have to be next to each other, is -
1) 12
2) 24
3) 48
4) 120

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Q. The ratio of ages of a man and his son is 3 : 1. After 15 years, the age ratio will be 2 : 1. What is the age of the man?
1) 45 years
2) 40 years
3) 35 years
4) 30 years

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Q. Two pillars are placed vertically 8 feet apart. The height difference of the two pillars is 6 feet. The two ends of a rope of length 15 feet are tied to the tips of the two pillars. The portion of the length of the taller pillar that can be brought in contact with the rope without detaching the rope from the pillars is -
1) Less than 6 feet
2) More than 6 feet but less than 7 feet
3) More than 7 feet but less than 8 feet
4) More than 8 feet Directions

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