1. Pipe A can fill a tank completely in 5 hours. However, on account of a leak at the tank, it takes 3 more hours to fill the tank. How long will the leak take to empty the full tank when pipe A is closed?
1. 14 hours 40 min
2. 13 hours 20 min
3. 12 hours 20 min
4. 7.5 hours
5. None
Sol: (2) 13 hours 20 min
2. A shopkeeper marks the price of an article at Rs. 80. What will be the selling price, if he allows two successive discounts at 5 % each?
1. Rs. 72
2. Rs. 85
3. Rs. 7.2
4. Rs. 72.2
5. None
Sol: (4) Rs.72.2
3. If a, b and c are the sides of a triangle and a2 +b2 +c2 = bc + ca + ab, then the triangle is.
1. Equilateral
2. Right angled
3. Isosceles
4. Obtuse angled
5. None
Sol: (1) Equilateral
4. In two triangles, the ratio of the areas is 4: 3 and that of their heights is 3: 4. Find the ratio of their bases.
1. 16: 9
2. 9: 16
3. 9: 12
4. 16: 12
5. None
Sol: (1) 16: 9
5. If a wire is bent into the shape of a square, the area of the square is 81 sq. cm. When the wire is bent into a semi-circular shape, the area of the semicircle is
1. 154 cm2
2. 77 cm2
3. 44 cm2
4. 22 cm2
5. None
Sol: (2) 77 cm2
6. The perimeter of a rhombus is 40 m and its height 5 m. Its area is
1. 60 m2
2. 45 m2
3. 55 m2
4. 50 m2
5. None
Sol: (4) 50 m2
7. The radii of two cones are in the ratio 2: 1, their volumes are equal. Find the ratio of their heights.
1. 2: 1
2. 4: 1
3. 1: 8
4. 1: 4
5. None
Sol: (4) 1: 4
8. Find the volume of a pyramid with a rectangular base measuring 8 cm by 6 and height 10 cm.
1. 180 cm3
2. 150 cm3
3. 160 cm3
4. 120 cm3
5. None
Sol: (3) 160 cm3
9. The marked price of a mixie is Rs.1600. The shopkeeper gives successive discount of 10% and x% to the customer. If the customer pays Rs.1224 for the mixie, find the value of x
1. 12%
2. 15%
3. 8%
4. 10%
5. None
S0l: (2) 15%
10. On selling an article for Rs.170, a shopkeeper loses 15%. In order to gain 20%, he must sell that article at rupees.
1. 212.50
2. 240
3. 210
4. 215.50
5. None
Sol: (2) 240
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MAHENDRA GURU