MCQs Mock Test 

1. Let “b” be a positive number such that the system ax + 3y = 1, 5x + ay = b  has an infinite number of solutions Find the value of ‘b’ to the nearest hundredth.
(A) 0.60
(B) 1.29
(C) 1.67
(D) 3.87
ANS [ B]
2. What can you say about the graph of y = x2 – 12x + 40 ?  
(A)  intersects X – axis at 1 point ,
(B) intersects X – axis at 2 point ,
(C) intersects X – axis at 3 point ,
(D) does not intersect t any point ,
ANS [D ]
3. The mode of a data exceeds its mean by 12 . By how much does its mode exceed the median ?
(A) 8
(B)12
(C)0
(D)10
ANS [A]
4.  if H.C .F. (P.q.) =12 and Px q =1800 find L.C.M. (p.q.)
(A) 3600
(B)900
(C)150
(D)90
ANS [   C ]
5.in what ratio does X-axis divide the line segment joining the points (3.4 ) and (2,6 )?
(A) 2:3   internally
(B) 2:3 internally
(C)3:2 internally
(D)3:2 internally
ANS [   B ]
6. on a certain day the chance of rain is 80% in Delhi and 30% in Hyderabad . Assume that the chance of rain in the two cities is independent What is the probability that is will not rain in either city ?
(A) 7%
(B)14%
(C)24%
(D)50%
ANS [   B ]
7. The internal and  extermsl radii of a hemispherical metallic vessel are 7 cm and 10.5 cm resprctively . if 1 cm3 of the metal weighs 10 g. find the weight of the vessel
(A) 25. 15 kg
(B) 32 .1 kg
(C) 17. 07 kg
(D) 16. 27 kg
ANS [C]
8.  2 and (-2) are two zeros of the polynomial 34 m4 – 4m + 120 What are the other two zeros of the polynomial ?
(A) 5,-6
(B) -5,6
(C) -5 ,-6
(D) 5,6
ANS [A]
9. The minute hand of a clock is 7cm long . Find the area traced out by it of the clock face between 4: 15 p.m. and 4:35 p.m.
(A) 59 cm2
(B)65 cm2
(C)52 cm2
(D)45 cm2
ANS [C]    
10. 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 ]
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