1. How many three letter words, can be formed out of the letters of the word “SIDHANT”, if repetition of letters is not allowed ?

1) 5040 2) 2520 3) 840 4) 420 5) 210

2. A bag contains 8 black and 12 blue balls. One ball is drawn at random. What is the probability that the ball drawn is black?

1) 2/3 2)2/5 3)3/5 4) 1/5 5) None of these

3. A person sold a ball and a bat together for `1966 there by making a profit of 16% on ball and 12% on bat. By selling them together for `2024, he would have made a profit of 12% on ball and 16% on bat. What is the cost price of ball and bat together ?

1) `1600 2) `1650 3) `1700 4) `1750 5) `1800

4. A man can row 18 km. upstream and 36 km downstream in 9 hours. Also he can row 15 km upstream and 60km. downstream in 10 hours. What is the rate of current ?

1) 3 km/hr. 2) 4.5 km/hr. 3) 5 km/hr. 4) 6 km/hr. 5) 7.5 km/hr.

5. If 6 men and 15 women can earn `7350 in 7 days and 10 men and 5 women can earn `10450 in 11 days. In what time 8 men and 8 women can earn `19320 ?

1) 15 days 2) 16 days 3) 18 days 4) 20 days 5) 21 days

6. The width of a rectangle is 65% of its length. If the area of the rectangle is 2340 sq. metre then what is the difference between the length and width of the rectangle ?

1) 18 meter 2) 21 meter 3) 24 meter 4) 32 meter 5) 39 metre

7. The breadth of a room is 3/8 times its length. The cost of carpeting it at `13.5 per sq. metre is `15876 and the cost of painting the four walls at `5 per square metre is `6160. What is the height of the room ?

1) 5 meter 2) 6 meter 3) 7 meter 4) 8 meter 5) 9 meter

8. A rectangular tank is 24 metres long and 11 metres deep. If 1260 cu. metre of water be drawn from the tank, the level of the water goes down by 3 metres. How many cubic metres of water the tank can hold ?

1) 4050 cu. m 2) 4180 cu. m 3) 4260 cu. m 4) 4480 cu. m 5) 4620 cu. m

9. A well of 22 m diameter is dug 13.75 m deep. The earth taken out has been spread all round it to a width of 8.25 m to form a circular embankment. What will be the height of embankment ?

1) 4.84 m. 2) 5.26 m. 3) 6.66 m. 4) 7.24 m. 5) 8.48 m.

10. What is the total number of solid sphere, each of diameter 9 cm. Which could be moulded to form a solid metal cylinder of height 94.5 cm. and diameter 6 cm ?

1) 4 2) 5 3) 6 4) 7 5) 8

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