NTPC Graduate Tier 1

What is the mean of the following distribution?Marks (x)1936606985No. of Students (f)6362591770

Two pipes, A and B, can fill a tank of 7800 litres in 12 hours and 10 hours, respectively. If they are opened together, how many hours will they take to fill an empty tank of 8800 litres?

From a taxi stand, two cabs start at a speed of 54 km/hr at an interval of 29 minutes, both cabs travelling in the same direction. A man coming in the opposite direction towards the taxi stand meets the cabs at an interval of 12 minutes. Find the spe...

If the selling price of a bed is 2-times of initial, then the profit is 10-times of initial. Find the initial profit percentage (in %).

If the ratio of two numbers is 17: 6 and the product of their LCM and their HCF is 102, then the sum of the reciprocals of the LCM and the HCF is:

Which of the following ratios is greatest?

AB is parallel to CD. A transversal PQ intersects AB and CD at E and F, respectively, and ∠PEB = 59°. G is a point between AB and CD such that ∠BEG = 50° and ∠GFE = 33°. What is the measure of ∠EGF?

Which of the following numbers is divisible by 7?

A boat takes 51 minutes to go 10.2 km upstream. The ratio of the speed of the boat in still water to that of the stream is 7:6. How much total time (in hours) will the boat take to go 17.7 km upstream and 66.3 km downstream?

An article was bought for ₹1,300. Its price was marked up by 35%. Thereafter it was sold at a discount of 20% on the marked price. What was the percentage profit on the transaction?

At what rate of interest (in percentage) per year will a sum of money double itself in 5 years on simple interest?

Simplify:144 ÷ [8/4 × {7 + 7 - (5 + 8 - (9 + 2))}]

The length of a vertical rod and its shadow are in the ratio of 2:√12. Find the angle of elevation of the sun.

If x - (1/x) = 10, then the value of x³ - (1/x³) is:

A cook earns ₹8,400 per month. If she spends 60% of it each month, how much will she save (in ₹) by one-fourth of a year?

54 is related to 59 following a certain logic. Following the same logic, 30 is related to 35. To which of the following is 11 related, following the same logic?(NOTE: Operations should be performed on the whole numbers, without breaking down the numb...

Akshat invested ₹90,625 at 8% p.a. for 1 year at compound interest, compounded half-yearly. The amount received by him is:

Robin and Varun together can paint a hall in 6 days. Robin alone can paint it in 42 days. In how many days can Varun alone paint it?

A group of people consists of men, women and children. Among them, 20% are men, 50% are women and the rest are children, and their average weights are 45 kg, 50 kg and 50 kg, respectively. The average weight (in kg) of the group is:

In a bag containing red, green, and pink tokens, the ratio of red to green tokens was 7: 20, while the ratio of pink to red tokens was 15: 12. What was the ratio of green to pink tokens?

Alok, Gita, and Suresh invest ₹56,000, ₹52,000, and ₹69,000 respectively to start a business. At the end of the year, the total profit earned is ₹76,700. 31% of the total profit earned is given to charity and the rest is divided among them in...

Following are the marks obtained by 5 students in a test: 45, 67, 80, 56 and 72. What is the range of the marks?

A conical vessel has base radius 31 cm and height 45 cm. Water is poured into the vessel until it is full. Find the volume (in cm³) of water in the vessel. (Note: Assuming a typographical error in the official paper where height was intended to be 3...

A vendor sold 4 chocolates for ₹1, thereby gaining 100%. How many chocolates did he buy for ₹1?

Arvind is now 40 years old and Asha is 25 years old. How many years ago from now was Arvind four times as old as Asha?

Given are the ages (in years) of five people: 20, 30, 35, 40 and 45. Calculate the average age in years.

In an election, there were two candidates. One of the candidates secured 48% of the votes and was defeated by the other candidate by 756 votes. Find the total number of votes polled.

In a circle, the length of a chord is 12 cm and the perpendicular distance from the centre of the circle to the chord is 5 cm. What is the radius of the circle? (Rounded up to two decimal places.)

A solid metallic sphere of radius 10 cm is melted and recast into 125 identical spheres. What is the ratio of the surface area of the original sphere to the total surface area of 6 smaller spheres so formed?

If sum and product of the roots of a quadratic equation are (4 - 3√2) and -28, respectively, then find the quadratic equation.