1. 5 persons are chosen at random from a group of 4 men, 3 women and 5 children. The probability that exactly 3 of them are children is
1) 36/48
2) 35/132
3) 34/139
4) 35/221
5) 37/135
*2. There are two mixtures in which milk and water are in the ratio of 2 : 3 and 3 : 7 respectively. In what ratio should the two mixtures be mixed to form a new mixture in which the ratio of milk to water is 4 : 7?
1) 7 : 4
2) 7 : 3
3) 7 : 2
4) 3 : 8
5) None of these
3. A money lender finds that due to a fall in the rate of interest from 13% to 25/2% his yearly income has reduced by 104. What is his capital?
1) 10400
2) 20800
3) 10800
4) 20400
5) None of these
4. The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they all change simultaneously at 8 : 20 hours then at what time will the again change simultaneously?
1) 8 : 27 min 12 sec
2) 8 : 28 min 12 sec
3) 8 : 30 min 12 sec
4) 8 : 29 min 12 sec
5) None of these
*5. An aeroplane started 30 minutes later than the scheduled time from a place 1800 km away from its destination. To reach the destination at the scheduled time the pilot increased the speed by 300 kmph. What was the speed of the aeroplane in kilometre per hour during the entire journey?
1) 1300 kmlh
2) 1200 kmlh
3) 1250 kmlh
4) 1320 kmlh
5) 1420 kmlh
*6. There is an equilateral triangle of which each side is 2m. With all three corners as centres, circles of radius 1m each are described. Calculate the area common to all the circles and triangles.
1) 1.57m2
2) 15.7m2
3) 0.157m2
4) 1.67m2
5) None of these
7. What sum of money at compound interest will amount to 2249.52 in 3 years, if the rate of interest is 3% for the first year, 4% for the second year and 5% for the third year?
1) 4000
2) 5000
3) 3080
4) 2000
5) 2530
8. Three partners altogether invested 114000 in a business. At the end of the year, the first partner got 337.50, the second partner got 1125 and the third partner got 675 as profit. What is the ratio of their investments?
1) 3 : 10 : 6
2) 10 : 3 : 6
3) 6 : 10 : 3
4) 6 : 3 : 10
5) None of these
9. A box contains 4 white balls, 3 black balls and 9 red balls. In how many ways can 4 balls be drawn from the box, if at least one white ball is to be included in a draw?
1) 1325
2) 1421
3) 325
4) 428
5) 912
10. The area of a rectangle is equal to the area of the circle whose radius is 21 cm. If the length and the breadth of the rectangle are in the ratio of 14 : 11, what is its perimeter?
1) 142 cm
2) 140 cm
3) 132 cm
4) 136 cm
5) 150 cm
1) 36/48
2) 35/132
3) 34/139
4) 35/221
5) 37/135
*2. There are two mixtures in which milk and water are in the ratio of 2 : 3 and 3 : 7 respectively. In what ratio should the two mixtures be mixed to form a new mixture in which the ratio of milk to water is 4 : 7?
1) 7 : 4
2) 7 : 3
3) 7 : 2
4) 3 : 8
5) None of these
3. A money lender finds that due to a fall in the rate of interest from 13% to 25/2% his yearly income has reduced by 104. What is his capital?
1) 10400
2) 20800
3) 10800
4) 20400
5) None of these
4. The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they all change simultaneously at 8 : 20 hours then at what time will the again change simultaneously?
1) 8 : 27 min 12 sec
2) 8 : 28 min 12 sec
3) 8 : 30 min 12 sec
4) 8 : 29 min 12 sec
5) None of these
*5. An aeroplane started 30 minutes later than the scheduled time from a place 1800 km away from its destination. To reach the destination at the scheduled time the pilot increased the speed by 300 kmph. What was the speed of the aeroplane in kilometre per hour during the entire journey?
1) 1300 kmlh
2) 1200 kmlh
3) 1250 kmlh
4) 1320 kmlh
5) 1420 kmlh
*6. There is an equilateral triangle of which each side is 2m. With all three corners as centres, circles of radius 1m each are described. Calculate the area common to all the circles and triangles.
1) 1.57m2
2) 15.7m2
3) 0.157m2
4) 1.67m2
5) None of these
7. What sum of money at compound interest will amount to 2249.52 in 3 years, if the rate of interest is 3% for the first year, 4% for the second year and 5% for the third year?
1) 4000
2) 5000
3) 3080
4) 2000
5) 2530
8. Three partners altogether invested 114000 in a business. At the end of the year, the first partner got 337.50, the second partner got 1125 and the third partner got 675 as profit. What is the ratio of their investments?
1) 3 : 10 : 6
2) 10 : 3 : 6
3) 6 : 10 : 3
4) 6 : 3 : 10
5) None of these
9. A box contains 4 white balls, 3 black balls and 9 red balls. In how many ways can 4 balls be drawn from the box, if at least one white ball is to be included in a draw?
1) 1325
2) 1421
3) 325
4) 428
5) 912
10. The area of a rectangle is equal to the area of the circle whose radius is 21 cm. If the length and the breadth of the rectangle are in the ratio of 14 : 11, what is its perimeter?
1) 142 cm
2) 140 cm
3) 132 cm
4) 136 cm
5) 150 cm
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