Let the age of the Ramesh is X years.
Then the age of the Suresh will be= (X + 20) Years
As given:- 3 (X-4) = (X + 20 – 4)
3X – 12 = X + 16
2X = 28, X = 14 Years
Hence the age of Suresh Will be = 14+20 = 34 Years.
Raman buys a single egg for ₹5. If he were to buy a dozen eggs, he would have to pay a total amount of ₹50. What would be the approximate per cent discount Raman would get on buying a dozen apples?
The area of a square is 2116 sq. cm. What is the respective ratio between the length and the breadth of a rectangle whose length is ¼ of the side of the square and breadth is 8 cm less than the side of the square?
Given, a2 = 2116 sqcm.
So, a = √2116 = 46cm
As per condition 1, length of the rectangle = ¼ x 46 = 11.5 cm
As per condition 2, breadth of the rectangle = 46 – 8 = 38 cm
Hence ratio will be- 11.5: 38
It is given that in a group of 5 Executives in an organisation, the probability of 3 of them not having the same birthday is 0.962. What is the probability that the 3 executives have the same birthday?
Let the event wherein 3 executives having the same birthday be E
Given, P(E) = 0.962
We know,
P(E)+P(not E) = 1
Or, P(not E) = 1–0.962 = 0.038
∴ The probability that the 3 executives have the same birthday is 0.038.
Let P & Q denote the sets of Indians who like bikes and scooters respectively. Then
n(P ) = 64, n(Q) = 58 and n(P ∩ Q) = 100.
We know that n( P ∩ Q) = n(P) + n(Q) – n( P ∩ Q )
= 64 + 58 – 100 = 22.
Hence, 22% of the Indians like both bikes and scooters.
Sanjay & Sunil enters into a partnership. Sanjay invests Rs. 2000 and Sunil Rs. 3000. After 6 months, Sunil withdrew from the business. At the end of the year, the profit was Rs. 4200. How much would Sunil get out of this profit.
One person’s (Investment X Time) : Another person’s (Investment X Time)
Therefore the ratio in which Sanjay & Sunil would share their profit is-
2000 (12) : 3000 (6) = 4:3
Hence Sunil receives (3/7)*4200 = Rs. 1800
A swimming pool is 100 ft. by 50 ft. and has an average depth of 6 ft. By the end of an average summer day, the water level drops an average of 1 ft. How many cubic feet of water are lost each day?
When the pool is full in the morning, it has
100 ft. x 50 ft. x 6 ft. =30,000 cubic feet of water.
But it loses 1/6 of its water per day, from a depth of 6 ft. to 5 ft.
So, 1/6 of 30,000 is 5,000 cubic feet.