If the radius of the sphere is doubled then it’s volume is increased by?
If the radius of the sphere is doubled then it’s volume is increased by?
A. 100 %
B. 200 %
C. 700 %
D. 800 %
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The price of petrol is increased by 25 %. By how much percent a car owner should reduce his consumption of petrol. So that expenditure on petrol would not be increased?
The price of petrol is increased by 25 %. By how much percent a car owner should reduce his consumption of petrol. So that expenditure on petrol would not be increased?A. 25 %
B. 30 %
C. 50 %
D. 20 %
Explanation:
Reduction % in consumption = {r/(100+ r) × 100}% = (25/125 × 100)% = 20%Find the number which when multiplied by 15 is increased by 196.
Find the number which when multiplied by 15 is increased by 196.A. 14
B. 20
C. 26
D. 28
Let the number be x. Then, 15x – x = 196
14x = 196 x = 14.A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?A. ¹²C₅ * 10
B. ¹²C₇ * 10
C. ¹²C₇ * ¹⁰C₅
D. 12 * ¹⁰C₅
Here, five seniors out of 12 seniors can be selected in ¹²C₅ ways. Also, five juniors out of ten juniors can be selected ¹⁰C₅ ways. Hence the total number of different ways of selection = ¹²C₅ * ¹⁰C₅ = ¹²C₇ * ¹⁰C₅
= ¹²C₅ = ¹²C₇If a number is chosen at random from the set {1, 2, 3, …., 100}, then the probability that the chosen number is a perfect cube is___________?
If a number is chosen at random from the set {1, 2, 3, …., 100}, then the probability that the chosen number is a perfect cube is___________?A. 1/25
B. 1/2
C. 4/13
D. 1/10
Explanation:
We have 1, 8, 27 and 64 as perfect cubes from 1 to 100.
Thus, the probability of picking a perfect cube is
4/100 = 1/25.A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?A. 480 liters
B. 600 liters
C. 720 liters
D. 800 liters
Explanation:
1/x – 1/20 = -1/24
x = 120
120 * 4 = 480The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?A. Rs. 2000
B. Rs. 2200
C. Rs. 2400
D. None of these
Explanation:
Let C.P. be Rs. x.
Then, (1920 – x)/x * 100 = (x – 1280)/x * 100
1920 – x = x – 1280
2x = 3200 => x = 1600
Required S.P. = 125 % of Rs. 1600 = 125/100 * 1600 = Rs. 2000.