Important Paper Mathematics Mock Test
1. the sum of the first 10 terms of an arithmetic progression is four times the sum of its first five terms Find the ratio of the first term to the common difference
(A) 1:4
(B) 4:1
(C)2:1
(D) 1:2
ANS [ D ]
2. A Semicircular piece of paper of radius 14 cm is rolled to form a cone of the largest possible size Find the capacity of the cone
(A) 721.5 cm3
(B)645.10 cm3
(C)449.64 cm3
(D) 622.37 cm3
ANS [ D ]
3. What is the nature of the graphs of a system of linear equations with exactly one solution ?
(A) Parallel lines
(B) Perpendicular lines
(C)Coincident lines
(D) intersecting lines
ANS [ D ]
4 Ruhi has only Rs . 1 and Rs. 2 coins with her if the total number of coins that she has is 50 and the amount of money with her is rs 75 find the number of rs 1 and Rs 2 coins .
(A) 25 and 25
(B) 15 and 25
(C) 35 and 15
(D) 35 and 20
ANS [ A ]
5. The poles of heights 6 m and 11m stand vertically on ;a plane ground if the distance between their feet is 12m what will be the distance between their tops ?
(A) 10m
(B)12m
(C)13 m
(D)15m
ANS [ c ]
6. Which shape has the vertices (3,2 ) ,(0,5) ,(-3,2) and (0,-1) ?
(A)Rectangle
(B) Square
(C) Trapezium
(D)Rhombus
ANS [ b ]
7. in the given figure TU is a tangent to the circle at T Find the value of X
(A)20
(B)30
(C)40
(D)50
ANS [ b ]
8. if some coins each of diameter 1.5 cm and thickness 0.2 cm are melted and a tight circular cylinder of height 10cm and diameter 4.5 cm is made , then find the number of coins
(A) 336
(B)450
(C)512
(D)545
ANS [ b ]
9. Three ropes are 7m , 12m 95 cm and 3m 85 cm long . what is the greatest possible length that can be used to measure these ropes ?
(A) 35cm
(B)55cm
(C) 1m
(D) 65cm
ANS [ a ]
10. The mean of 11 observations is 50 . if the mean of first six observations is 49 and that of last six observations is 52 which option is the sixth observation -
(A)55
(B)56
(C)57
(D)58
ANS [ b ]
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