The area of a circle is 24.64Sq.m. the circumference of circle is________?
The area of a circle is 24.64Sq.m. the circumference of circle is________?
A. 14.64cm
B. 16.36m
C. 17.60m
D. 18.40m
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If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?A. Rs. 51.25
B. Rs. 52
C. Rs. 54.25
D. Rs. 60
Explanation:
Sum = (50 * 100) / (2 * 5) = Rs. 500
Amount = [500 * (1 + 5/100)2] = Rs. 551.25
C.I. = (551.25 – 500) = Rs. 51.25.There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?A. 8 : 25
B. 25 : 8
C. 8 : 5
D. 5 : 8
E. None of these
Explanation:
Let the two numbers be x and y.
40/100 * x + y = 5/4y
=> 2/5 x = 1/4 y => x/y = 5/8A sum of money placed at compound interest doubles itself in 5 years in how many years it would to 8 times of itself at the same rate of interest?
A sum of money placed at compound interest doubles itself in 5 years in how many years it would to 8 times of itself at the same rate of interest?A. 7 years
B. 10 years
C. 15 years
D. 20 years
Explanation:
Let principal be Rs x and the rate is R % p.a.
Then X × (1 + R/100)5 = 2x
=> (1 + R/100)5 = 2
Let x × (1 + R/100)t = 8x
=> (1 + R/100)t = 8 = 23
={(1 + R/100)5 }3
=> (1 + R/100)t = (1 + R/100)15
=> T = 15 YearsIf 35% of a number is 12 less than 50% of that number, then the number is_________?
If 35% of a number is 12 less than 50% of that number, then the number is_________?A. 40
B. 50
C. 60
D. 80
Explanation:
Let the number be x. Then,
50% of x – 35% of x = 12
50/100 x – 35/100 x = 12
x = (12 * 100)/15 = 80.In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get?
In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get?A. 2160
B. 2420
C. 2834
D. 3150
E. None of these
Explanation:
Let the total number of votes polled in the election be 100k.
Number of valid votes = 100k – 20% (100k) = 80k
Let the number of votes polled in favour of A and B be a and b respectively.
a – b = 15% (100k) => a = b + 15k
=> a + b = b + 15k + b
Now, 2b + 15k = 80k and hence b = 32.5k
It is given that 100k = 8720
32.5k = 32.5k/100k * 8720 = 2834
The number of valid votes polled in favour of B is 2834.A typist uses a paper 30 cm by 15 cm. He leaves a margin of 2.5 cm at the top as well as at the bottom and 1.25 cm on either side. What percentage of paper area is approximately available for typing?
A typist uses a paper 30 cm by 15 cm. He leaves a margin of 2.5 cm at the top as well as at the bottom and 1.25 cm on either side. What percentage of paper area is approximately available for tyg?A. 65 %
B. 70 %
C. 80 %
D. 60%
Explanation:
Total Area of the Paper = (30 × 15) Sq.cm = 450 Sq.cm
Area Used = [(30-5)×(15-2.5) ]Sq.cm
= (25 × 12.5) Sq.cm = (25 x 25/2) Sq.cm = 625/2 cm2
Percentage are Used by = (625/2× 1/450×100) %
= 69.4 % = 70 % nearly