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Important Quant Questions for IB (ACIO) 2017

Dear students,  Here we are providing 15 questions from Mensuration. Practice more and Fulfill all your dreams of getting a government job. Best of luck.
Q1. 10 men and 9 women can do a piece of work in 20 days. The same work can be done by 6 men and 12 women in 30 days. In how many days can the same work be done by 1 man and 1 woman?
(a) 198
(b) 156
(c) 145
(d) 256

Q2. Two filling pipes can fill a tank in 15 hours and 12 hours respectively while a third pipe C can empty it in 20 hours when filled. If the tank is empty and all the three pipes are opened, in how much time will the tank be full?
(a) 14 hours
(b) 10 hours
(c) 6 hours
(d) 8 hours
Q3. In a shop, shirts are usually sold at 40% above the cost price. During a sale, the shopkeeper offers a discount of 10% off the usual selling price. If he manages to sell 72 shirts for Rs. 13,608, then his cost price per shirt, (in Rs) is 
(a) 210
(b) 150
(c) 149
(d) 125
Q4. While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns Rs. 15 less as profit. What is the marked price of the watch?
(a) Rs. 1,250
(b) Rs. 1,400
(c) Rs. 1,500
(d) Rs. 750        
Q7. From the top of a cliff 200 meters high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60° respectively. Find the height of the tower.
(a) 400/3 m
(b) 200  m
(c) 100  m
(d) None of these       
Q8. A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes 10 minutes for the angle of elevation to change from 45° to 60°. After how much more time will this car reach the base of the tower?
Q9. A rectangular sheet of metal is 40 cm by 15 cm. Equal squares of side 4 cm are cut off at the corners and the remainder is folded up to form an open rectangular box. The volume of the box is
(a) 896
(b) 986
(c) 600
(d) 916
Q10. A well 20 m in diameter is dug 14 m deep and the earth taken out is spread all around it to a width of 5 m to form an embankment. The height of the embankment is:
(a) 10 m
(b) 11 m
(c) 11.2 m
(d) 11.5 m
Q11. In a village, each of the 60% of families has a cow; each of the 30% of families has a buffalo and each of the 15% of families has both a cow and buffalo. In all there are 96 families in the village. How many families do not have a cow or a buffalo?
(a) 20
(b) 24
(c) 26
(d) 28
Q12. The Government reduced the price of sugar by 10 percent. By this a consumer can buy 6.2 kg more sugar for Rs. 837. The reduced price per kg of sugar is
(a) Rs. 12.50
(b) Rs. 13.00
(c) Rs. 13.50
(d) Rs. 14.00
Q13. In an election between two candidates, the candidate getting 60% of the votes polled, is elected by a majority of 14,000 votes. The number of votes polled by the winning candidate is
(a) 28,000
(b) 32,000
(c) 42,000
(d) 46,000
Q14. A shopkeeper gains 38% after allowing a discount of 8% on the marked price of an article. But if only one-third of the discount is offered while selling the item, what will be the approximate profit percentage gained?    
(a) 40%
(b) 38%
(c) 46% 
(d) 45%
Q15. The sum of four numbers is 253. The ratio of the first number to the second number is 2 : 3. The ratio of the second number to the third number is 5 : 6. The ratio of the third number to the fourth number is 8 : 9. What is the average of the second number and the third number?
(a) 72
(b) 132
(c) 60
(d) None of these
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