PRACTICE EXERCISE 43
For each of the following, find the ICM by using the prime factorisation
(i) 105, 135 and 180
(is) 112,168 and 266
(iii) 42, 63 and 162
(iv) 28,36,45 and 60
For each of the following, find the LCM by using common division met
Gi) 14,35 and 40
(ii) 24,36 and 48
(iii) 12, 15, 20 and 27
(v) 6, 18,30 and 48
nd the HCF and the LCM of the following numbers. Also verify th
the numbers is the same as the product of their HCF and LCM
() 270 and 450
(1) 54 and 444
Answers
Answer:
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