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Free Sample Past Questions
1. The areas of two similar triangles are 81 sq. cm and 49 sq. cm. Find the ratio of their corresponding heights.
(A) 9:7
(B) 7:9
(C) 6:5
(D) 81:49
2. A line which cuts a pair of parallel lines is called
(A) tangent
(B) chord
(C) traversal
(D) intersector
3. An angle whose value is ____, is called complete angle.
(A) 180°
(B) 240°
(C) 360°
(D) none of the above
4.The areas of two similar triangles are 81 sq. cm and 49 sq. cm. Find the ratio of their corresponding heights.
(A) 9:7
(B) 7:9
(C) 6:5
(D) 81:49
5. If the length and breadth of a rectangle are increased by a% and b% respectively, then the area will be increased by
(A) (a-b+2ab/100)%
(B) (a+b+2ab/100)%
(C) (a+b+ab/100)%
(D) (a-b+ab/100)%
6. A, B and C can complete a piece of work in 14, 6 and 12 days respectively. Working together, they will complete the work in
(A) 19/9 days
(B) 27 days
(C) 28/9 days
(D) 25/8 days
7. If Px= Qy= Rz and Q/P = R/Q, then 2z/(x+z) = ?
(A) y/z
(B) y/x
(C) x/y
(D) z/y
8. A shopkeeper purchases 15 mangoes for Rs. 10 and sells them at 10 mangoes for Rs. 15. Thus, he earns a profit of
(A) 50%
(B) 75%
(C) 80%
(D) 125%
9. 4950/6 + 112 x 1.75 = ? x 2
(A) 510.5
(B) 505.2
(C) 515.5
(D) none of the above
10. If a certain sum of money can become 5 times of its principal in 10 years, then the rate of interest is
(A) 20%
(B) 30%
(C) 40%
(D) 50%
11. An amount of Rs. 10,000 becomes Rs. 20,736 in 2 years. If the rate of interest is compounded half yearly, what is the annual rate of interest?
(A) 25%
(B) 20%
(C) 40%
(D) 30%
12. What will come in the place of question mark (?) in the following series?
2, 5, 7, 12, 19, 31, 50, ?
(A) 81
(B) 74
(C) 69
(D) none of the above
13. In an equilateral triangle has the height of 12 cm then what is the area of the triangle?
(A) 42√3 c.c.
(B) 48√3 c.c.
(C) 24√3 c.c.
(D) 34√3 c.c.
14. The monthly income and monthly expenditure ratio of A and B are 5:6 and 4:5 respectively. If both of them can have Rs. 500 as monthly savings, then what is the income of A?
(A) Rs. 3,000
(B) Rs, 500
(C) Rs. 5,000
(D) Rs. 2,500
15. Find out the least number which when multiplied by 45, the result becomes a perfect square.
(A) 9
(B) 15
(C) 5
(D) None of the above
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