From
each of the two given unequal numbers, half the smaller number is subtracted.
Then, of the resulting numbers, the larger one is five times than the smaller
one. Then the ratio of the larger to smaller one is
(a) 2 : 1 (b)
3 : 2 (c) 3 : 1 (d)
1 : 4
2. When an integer K is
divided by 3, the remainder is 1, and when K + 1 is divided by 5, the remainder
is 0. Of the following, a possible value of K is
(a) 62 (b)
63 (c) 64 (d)
65
3. A farmer has 945 cows
and 2475 sheep. He farms then into flocks, keeping cows and sheep separate and
having the same number of animals in each flock. If these flocks are as large
as possible, then the maximum number of animals in each flock and total number
of flocks required for the purpose are respectively
(a) 15 and 228 (b) 9 and 380 (c) 45 and 76 (d) 46 and 75
4. The number of sides
in two regular polygons are in the ratio 5 : 4 and the difference between each
interior angle of the polygons is 6°. Then the number of sides are
(a) 15, 12 (b) 5A (c) 10, 8 (d)
20, 16
5. If the length of each
side of a regular tetrahedron is 12 cm, then the volume of the tetrahedron is
(a) 144 V-2 cu. cm. (b)
72 f cu. cm. (c) 8, cu. cm. (d)
12 J cu. cm.
6. A cone, a hemisphere
and a cylinder stand on equal base and have the same height. Their volumes are
in the ratio
(a) 1: 3: 2 (b) 2:
3: 1 (c) 1: 2: 3 (d) 3:
1: 2
7. Sides of a
parallelogram are in the ratio 5 : 4. Its area is 1000 sq. units. Altitude on
the greater side is 20 units. Altitude on the smaller side is
(a) 30 units (b) 25 units (c) 10 units (d) 15
units
8. B and C can complete
a piece of work in 12 days, C and A can do it in 8 days. All the three can do
it in 6 days. A and B together can complete it in
(a) 4 days (b) 6
days (c) 8 days (d) 10
days
9. A can do a work in 9 days,
if B is 50% more efficient than A, then in how many days can B do the same
work?
(a) 13.5 (b)
4.5 (c) 6 (d)
3
10. The successive
discounts of 10% and 20% are equivalent to a single discount of
(a) 30% (b)
28% (c) 25% (d)
27%
1.
(c) 2. (b) 3. (c) 4. (c) 5. (c) 6. (a) 7. (a) 8. (a) 9. (c) 10. (d)
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