1. If 5 men and 3 boy harvest 23 acres of crops in 4 days and 3 men and 2 boys harvest 7 acres of crops in 2 days, then how many boys with assistance of 7 men can harvest 45 acres of crops in 6 days ?
(A) 3
(B) 4
(C) 2
(D) 5
2.The average age of A and B is 12 years and the average age of B and C is 14 years. If the average age of all three is 13 years, then what will be age of C after 9 years.
(A) 26 years
(B) 20 years
(C) 24 years
(D) None of these
3.A right circular cylinder encloses a sphere of radius r. The ratio of the surface area of the sphere and the curved surface area of the cylinder is —
(A) 2 : 1
(B) 1 : 2
(C) 1 : 3
(D) 1 : 1
4.A copper wire, when bent in the form of a square, encloses a region having area 121 cm^2. If the same wire is bent in the form of a circle, then the area of the region enclosed by the wire will be —
(A) 154 cm^2
(B) 143 cm^2
(C) 132 cm^2
(D) 121 cm^2
5.What is the remainder when (x^11 + 11) is divided by (x + 1) ?
(A) 10
(B) 2
(C) 11
(D) 12
6.Three rectangular piece of lands have areas 105, 147 and 231 square meter respectively. In each piece of lands rectangular beds of equal area and of maximum size are made in which each is of length 7m. What is the breadth of each bed ?
(A) 3m
(B) 4m
(C) 6m
(D) 1m
7.Three circles touch each other externally. The distance between their centre is 3cm, 4cm and 5cm. Find the radii of the circles.
(A) 1cm, 2cm, 3cm
(B) 0.5cm, 1.5cm, 2.5cm
(C) 1cm, 2.5cm, 3.5cm
(D) None of these
8.When the digits of a two digit number are interchanged, the new number so formed becomes 18 more than the original number and the sum of the digits is 8. What is the original number ?
(A) 53
(B) 26
(C) 35
(D) data insufficient
9.A cone of radius r cm and height h cm is divided into two parts by drawing a plane through the middle point of its height and parallel to the base. What is the ratio of the volume of the original cone to the volume of the smaller cone?
(A) 4 : 1
(B) 8 : 1
(C) 2 : 1
(D) 6 : 1
10.A shopkeeper marks his goods 60% more and he sells 3/5 of goods at the cost price and the remaining are sold at a discount of 20% on the marked price. What is his gain percent ?
(A) 9.4%
(B) 16.8%
(C) 12.5%
(D) 11.2%
11.The simple interest on a certain sum is 4/9 of principal. If the annual rate of simple interest and duration of years are equal, then what is the rate of interest ?
(A) 5%
(B) 6(2/3)%
(C) 6%
(D) 7(1/5)%
12.The volume of the metal of cylindrical pipe is 748 cm^3. The length of the pipe is 14 cm and its external radius is 9 cm. Its thickness is —
(A) 1 cm
(B) 2.3 cm
(C) 3.7 cm
(D) 5.2 cm
13.A bag contains coins of denominations 1 rupee, 50 paise and 10 paise in the ratio of 3 : 4 : 10. If their total value is 102, then how many coins are of 10 paise ?
(A) 340
(B) 60
(C) 80
(D) 170
14. The value of
152(sin 30° + 2cos^2 45° + 3sin 30° + 4cos^2 45° + ...... + 17sin 30° + 18 cos^2 45°) is —
(A) an integer but not a perfect square
(B) a rational number but not an integer
(C) a perfect square of an integer
(D) irrational number
15.A bucket is full of pure milk. 30% of milk is drawn out and is replaced by same quantity of water. This process is repeated two more times. What is the percentage of water with total quantity in bucket now ?
(A) 90
(B) 10
(C) 65.7
(D) 34.3
Answers will be updated soon....
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