Dear Readers,
1-Father is aged three times more than his son Prashant. After8years,he wouldbe two and a half times of Prashant's age. After further how many years,he wouldbe2timesof Prashant's age?
(A) 8 years
(B) 12 years
(C) 6 years
(D) 10 years
Q.2 Find the area of the triangle formed by the vertices.
(4, 5), (10, 12) and (– 3, – 2).
(A) 2.45
(B) 2.8
(C) 3.5
(D) 4.6
Q.3 If 2is the zero of the polynomial f (x) = 2ax^2 + 2(a + 1)x–5a, then the value of a is
(A) – 4/7
(B) – 3/7
(C) – 5/7
(D) 4/7
4-By selling an item for Rs.1680, a trader gains one fifteenth of what it costs him. What is the profit % when M.P. is Rs.1858.5andthe article is sold at no discount?
(A) 25
(B) 20
(C) 18
(D) 14
Q.5 Ashish drives his car to a place 150 km away at an average speed of 50 km/hr. and returns at some speed. What is his speed for the returning journey if his average speed over wholejourneyis37.5km/ hr.?
(A) 18.25
(B) 36
(C) 30
(D) 42
6-A person borrows a certain amount of money for 2 years at 4% p.a. simple interest. He immediately lends it to another person at6(1/4)% p.a. for 2 years. Find the amount borrowed, if his profit is Rs.1125 per year?
(A) Rs.5000
(B) Rs.60000
(C) Rs.50000
(D) Rs.55000
7-A sells an article to B making a profit of1/5 of his outlay. B sells it to C, gaining 20%. If C sells it for Rs.600 and incurs a loss of1/6of his outlay, the cost price of A is -
(A) Rs. 600
(B) Rs. 500
(C) Rs. 720
(D) Rs. 800
Q.8 The population of a town is 311250. The ratio between women and men is 43 : 40. If there are 24% literate among men and 8% literate among women, the total number of literate person in the town is -
(A) 41800
(B) 48900
(C) 66800
(D) 99600
9-The radius of a cylinder is 10 cm. and height is 4 cm. The number of centimeters that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is -
(A) 5
(B) 4
(C) 25
(D) 16
Q.10 In a triangle ABC, AB + BC = 12 cm., BC + CA = 14 cm. and CA + AB = 18 cm. Find the radius of the circle (in cm.) which has the same perimeter as the triangle.
(A)5/2
(B)7/2
(C)9/2
(D)11/2
Answer key:
1. Sol. (1)
2. Sol. (3)
3. Sol. (1)
4. Sol. (3)
5. Sol. (3)
6. Sol. (3)
7. Sol. (2)
8. Sol. (2)
9. Sol. (1)
10. Sol. (2)
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MAHENDRA GURU