**Q. If x - y = 4 and xy = 45, then the value of x ^{3} - y^{3} is -**

1) 604

2) 822

3) 151

4) 82

**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

**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 110 ^{0} and 130^{0}, respectively. Then the value of ∠BAC is -**

1) 65

2) 60

3) 70

4) 75

**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

**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

**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

**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

**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

**Q. If A + B = 45 ^{0}, then the value of 2(1 + tan A) (1 + tan B) is -**

1) 4

2) 1

3) 0

4) 2

**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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