Dear Readers,
Q.1. If the slant height of a cone is 17 cm. and radius 8 cm., then find the volume of the cone.
(A) 100.05 cm^3 .
(B) 1005.7 cm^3 .
(C) 951.47 cm^3 .
(D) 307.1 cm^3 .
Q.2. ABC is a triangle in which AB = AC. The base BC is produced to D and ∠ACD = 130^o , then angle A is equal to-
(A) 40^o
(B) 50^o
(C) 606o
(D) 806o
Q3. ABCD is a parallelogram, M is the mid point of BD and BM bisects ∠B, then ∠AMB equals -
(A) 30^o
(B) 45^o
(C) 60^o
(D) 90^o
Q.4. The length of the diagonal BD of the parallelogram ABCD is 24 cm. If P and Q are the centroid of the ΔABC and ΔADC respectively then the length of the line segment PQ is -
(A) 4 cm.
(B) 6 cm.
(C) 8 cm.
(D) 6.4 cm.
Q.5. The length of the tangent drawn from a point 5 cm. away from the centre of a circle of radius 3 cm. is -
(A) 3 cm.
(B) 4 cm.
(C) 5 cm.
(D) 6 cm.
Q.6.A and B together can complete a piece of work in 12 days and B and C together in 15 days. If A is twice as good a workman as C, then in how many days will B alone complete the same work?
(A) 30
(B) 25
(C) 24
(D) 2
Q.7. When the price of a article is increased by 20%, the number of articles sold is decreased by 15%. What is its effect on the total sales of the shop?
(A) 2% decrease
(B) 2% increase
(C) 4% increase
(D) 4% decrease
Q.8. The ratio of the length of the parallel sides of a trapezium is 3 : 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 cm2 ., the sum of lengths of the parallel sides is -
(A) 15 cm.
(B) 36 cm.
(C) 42 cm.
(D) 60 cm.
Q.9. Population of a town increases 2.5% annually but is decreased by 0.5% every year due to migration. What will be the percentage of increase in 2 years?
(A) 5
(B) 4.04
(C) 4
(D) 3.96
Q.10. If the measure of a diagonal and the area of a rectangle are 25 cm. and 168 cm^2
. respectively, what is the length of the rectangle?
(A) 31 cm.
(B) 24 cm.
(C) 17 cm.
(D) 7 cm.
ANSWER-
Q-1(1)
Q-2(4)
Q-3(4)
Q-4(3)
Q-1(1)
Q-2(4)
Q-3(4)
Q-4(3)
Q-5(2)
Q-6(4)
Q-7(2)
Q-8(4)
Q-9(2)
Q-10(2)
Q-10(2)
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MAHENDRA GURU