Quantitative Aptitude (Numerical Ability)

Q. The average age of 24 students is 12 years. It was observed that while calculating the average age, the age of a student was taken as 14 years instead of 8 years. What will be the correct average age (in years) ?
1) 11.25
2) 11.5
3) 11.75
4) 12.25

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Q. 70% of the cost price of a article is equal to the 40% of its selling price. What is the profit or loss percentage ?
1) 63% loss
2) 70% loss
3) 75% profit
4) 80% profit

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Q. a% of b + b% of a = ..........
1) 2a% of b
2) 2a% of 2b
3) 2a% of 2a
4) 2b% of 2b

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Q. If I walk at 7 / 6 of my usual speed, then I reach my office 15 minutes early. What is the usual time taken (in minutes) by me to reach the office ?
1) 60
2) 75
3) 90
4) 105

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Q. A person lent Rs. 10000 to B for 3 years and 6000 to C for 4 years on simple interest at same rate of interest and received Rs. 5400 in all from both of them as interest. What is the rate of interest (in%) ?
1) 10
2) 12.5
3) 15
4) 20

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Q. If x3 + 2x2 - 5x + k is divisible by x + 1, then what is the value of k ?
1) -6
2) -1
3) 0
4) 6

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Q. If 3x + [1/ (5x)] = 7, then what is the value of 5x / (15x2 + 15x + 1) ?
1) 1/5
2) 1/10
3) 2/5
4) 10

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Q. If x + [1/4x)] = 5/2, then what is the value of (64x6 + 1) /8x3 ?
1) 110
2) 115
3) 125
4) 140

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Q. If x2 + x = 19, then what is the value of (x + 5)2 [1 / (x + 5)2] ?
1) 77
2) 79
3) 81
4) 83

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Q. What is the simplified value of (sin A - cosec A) (sec A - cos A) (tan A + cot A) ?
1) 1
2) -1
3) 0
4) 2

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