Monday, August 17, 2015

AMCAT Quantitative Ability Previous Papers-6

51. If the logx 16 = 0.8, then what is the value of x?
A. 4 B. 2 C. 32      D. 16

Solution:
x^0.8=16
x=(2^4)^(10/8)
x=2^5
x=32

52. If f(x) = ex and g(x) = loge x, then what is the value of {f of g(x)}?
A. X B. ex    C. logex              D. cannot be determined
Ans: The answer is not solved, please comment the answer and it would be updated for others help

53. The value of log864 –log644096 is
A. -1   B. 0    C.  1           D. 2
Ans:  0

54. What is the relationship between the fractions 14/15 and 37/40?
A.14/15=37/40         B.14/15>37/40         C.14/15<37/40         D. Cannot be determined

Option c)
Take LCM of both 15, 40 we get 120
(14*8)/(15*8) = 112/120
(37*3)/(40*3) = 111/120
So 14/15>37/40


55. If LCM and HCF of two numbers are equal and product of two numbers is 2916, find their LCM?
A. 54   B. 56   C.64     D. 66

LCM and HCF will be equal if and only if both the numbers are equal.
therefore, 2916=54*54
so LCM of both number =54

56. If the sum of squares of two numbers is 2754 and their HCF and LCM are 9 and 135 respectively, then the numbers are
A.27, 36       B. 27, 35      C. 28, 45      D. 27, 45

As we know product of two nos.=their H.C.F*L.C.M
So,x*y=135*9=1215
and x^2+y^2=2754
So,(x+y)^2=x^2+y^2+2*x*y
=2754+2*1215=5184
So,x+y=72
Now on solving,the nos. are 45 and 27

57. The number of ways in the letters of the word “RESULT” can be arranged without repetition is
A.720    B. 120 C. 60 D. 840
Ans: The answer is not solved, please comment the answer and it would be updated for others help

58. The HCF of two numbers is 4 and LCM is 48. If one of the numbers is 12, then one of the divisions of the numbers is:
A.3 B.   6 C.  8 D. 12
Ans: The answer is not solved, please comment the answer and it would be updated for others help

59. Which number should be added to 113257 so that it can be divided by 9?
A. 4   B. 6   C. 8   D. 10
Ans: The answer is not solved, please comment the answer and it would be updated for others help

60. ABCD is a square PQRS is a rhombus lying inside the square such that P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. A point is selected at random in the square. Find the probability that lies in the rhombus
A.1/3   B.   2/3 C.  1/2    D. 1/4