Find the H.C.F of 54/9, 3 9/17 and 36/51?
Find the H.C.F of 54/9, 3 9/17 and 36/51?
A. 17/6
B. 6/153
C. 6
D. 17
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What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?A. Rs.8000
B. Rs.8400
C. Rs.7500
D. NoneIn finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are______?
In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are______?A. 700,400
B. 820,360
C. 800,500
D. 820,369The income of a broker remains uncharged though the rate of commission is increased from 4 % to 5 % the percentage of a slump in business is_______?
The income of a broker remains uncharged though the rate of commission is increased from 4 % to 5 % the percentage of a slump in business is_______?A. 8 %
B. 1 %
C. 20 %
D. 80 %
Explanation:
Let the business value changes from x to y.
Then 4 % of x = 5 % of y of 4/100 × x = 5/100 × y
or y = 4/5 x.
Change in business = (x – 4/5 x) = 4/5 x.
Percentage slump in business
= (1/5 x ×1/x × 100)% = 20%The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?A. 25 cm2
B. 42 cm2
C. 49 cm2
D. None of these
Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 28/2 = 35 cm2pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?A. after 12 mins
B. after 9 mins
C. after 8 1/2 mins
D. after 10 mins
Explanation:
x/18 + 12/24 = 1
x = 9If a and b are the roots of the equation x2 – 9x + 20 = 0, find the value of a2 + b2 + ab?
If a and b are the roots of the equation x2 – 9x + 20 = 0, find the value of a2 + b2 + ab?A. -21
B. 1
C. 61
D. 21
Explanation:
a2 + b2 + ab = a2 + b2 + 2ab – ab
i.e., (a + b)2 – ab
from x2 – 9x + 20 = 0, we have
a + b = 9 and ab = 20. Hence the value of required expression (9)2 – 20 = 61.