In a trapezium, ABCD, AB and DC are parallel to each other with a perpendicular distance of 8 m between them. Also, (AD)=(BC)=10 m, and (AB)=15 m <(DC). What is the perimeter (in m ) of the trapezium ABCD?
(A) 50
(B) 66
(C) 62
(D) 58
Q-2) A boat covers 35 km downstream in 2 h and covers the same distance upstream in 7 h. Find the speed (in km/h) of the boat in still water.
(A) 11.25
(B) 28.75
(C) 18.25
(D) 10.55
Q-3) What is the compound interest on a sum of ₹25,000 after three years at a rate of 12 per cent per annum interest compounded yearly?
(A) ₹10,123.20
(B) ₹9,824.00
(C) ₹10,520.00
(D) ₹9,956.86
Q-4) The LCM of x^2 − 8x + 15 and x^2 − 5x + 6is:
(A) (x-2) (x-3) (x − 5)
(B) (x − 6)2 (x + 1) (x − 3)
(C) (x − 6) (x + 1) (x − 3)
(D) (x + 6) (x + 1) (x − 3)
Q-5) P, Q and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q works on first day, P and R works on second day and P and Q works on third day and so on till the work is completed. In how many days the work will be completed?
(A) 13/2
(B) 9/2
(C) 7/2
(D) 5/2
6-A pyramid has an equilateral triangle as its base, of which each side is 8 cm. Its slant edge is 24 cm. The whole surface area of the pyramid (in cm^2 ) is:
Q-7) Simplify the following:
(A)7/18
(B)2/9
(C)5/18
(D)1/9
Q-8) A dishonest dealer marks up his goods by 50% and then gives a discount of 20% on the marked price. Apart from this, he uses a faulty balance, which reads 1kg for 900 gm. What is his net profit percentage (rounded off to the nearest integer)?
(A) 24
(B) 27
(C) 36
(D) 33
Q-9) The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is:
Q-10) Find the exact value of cos 120°.
(A) 1
(B) 0
(C) –0.5
(D) 0.5
Answer Key:-
1-Sol-(C)
2-Sol-(A)
3-Sol-(A)
4-Sol-(A)
5-Sol-(C)
6-Sol-(D)
7-Sol-(B)
8-Sol-(D)
9-Sol-(C)
10-Sol-(C)
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MAHENDRA GURU