Quantitative Aptitude (Numerical Ability)

Q. If x - y = 4 and xy = 45, then the value of x3 - y3 is -
1) 604
2) 822
3) 151
4) 82

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Q. A person sells an article at 10% below its cost price. Had he sold it for Rs. 332 more, he would have made a profit of 20%. What is the original selling price (in Rs.) of the article?
1) 1,028
2) 1,328
3) 996
4) 896

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Q. A, B and C are three points on a circle such that the angles subtended by the chord AB and AC at the centre O are 1100 and 1300, respectively. Then the value of ∠BAC is -
1) 650
2) 600
3) 700
4) 750

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Q. A train crosses a pole in 12 sec, and a bridge of length 170 m in 36 sec. Then the speed of the train is -
1) 30.75 km/h
2) 10.8 km/h
3) 25.5 km/h
4) 32.45 km/h

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Q. The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes 14 : 9.
1) 15
2) 30
3) 20
4) 25

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Q. If the length of a rectangle is increased by 40%, and the breadth is decreased by 20%, then the area of the rectangle increases by x%. Then the value of x is -
1) 16
2) 8
3) 20
4) 12

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Q. Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6th number. If their average is 136, then the 6th number is -
1) 102
2) 84
3) 96
4) 116

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Q. If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be -
1) 1
2) 0
3) 4
4) 2

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Q. If A + B = 450, then the value of 2(1 + tan A) (1 + tan B) is -
1) 4
2) 1
3) 0
4) 2

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Q. A shopkeeper marks the price of the article in such a way that after allowing 28% discount. He wants a gain of 12%. If the marked price is Rs. 224, then the cost price of the article is -
1) Rs. 144
2) Rs. 168
3) Rs. 120
4) Rs. 196

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