RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

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RRB-NTPC 2016 Mathematics

Inlet M fills a tank in 24 minutes and Inlet N fills it in 32 minutes. Outlet O drains the tank. When all three operate simultaneously, the tank fills in 32 minutes. How long does O take to drain a full tank alone?

At a health club, 42% of the members are women and 58% of the members are men. If the average age of the men is 57 years and the average age of the women is 42 years, what is the average age (in years) of all the members?

If the ratio of the number of boys to girls in a class is 5:7 and the ratio of girls to teachers is 14:1, what is the ratio of boys to teachers?

Two trains of equal lengths cross a stationary pole in 12 seconds and 16 seconds, respectively. How long will it take for the trains to cross each other when running in opposite directions? (Write your answer rounded off to two decimal places.)

The ratio between the speeds of two trains is 5:8. If the second train covers 300 km in 3 hours, then find the speed of the first train.

Three ropes of lengths 54 m, 72 m and 90 m are to be cut into smaller pieces of equal lengths such that no rope is left over. What is the maximum possible length of each smaller piece?

A jacket with a marked price of ₹2,000 is sold for ₹1,530 after two successive discounts. If the first discount is 15%, what is the second discount percentage?

If twice the smaller of two numbers is added to three times the larger number, the result is 55. If the larger is increased by 5, it becomes twice the smaller. What is the larger number?

The sum of two positive numbers is 26 and their product is 144. The positive difference between them is:

The price of a laptop was initially $1,200. During a sale, the price was first reduced by 20%, and then an additional discount of 15% was applied to the new price. What is the final price of the laptop?

Three numbers are in the ratio \(3:2:13\) , and their LCM is 2574. Their HCF is:

A shopkeeper sells an article for ₹1,200 at a 20% profit. At what price (in ₹) should he sell the article to incur a loss of 10%?

The L.C.M. of two numbers is 210 and their H.C.F. is 3. If the first number is divided by 3, the quotient is 7 and the remainder is 0. The second number is:

Two taps can fill a cistern in 4 hours and 19 hours, respectively. A third tap can empty it in 19 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?

ABCD is a quadrilateral in which AB ∥ DC, and E and F are the mid points of the diagonals AC and BD, respectively. If AB = 21 cm, BC = 33 cm, DC = 11 cm, and AD = 52 cm, then what is the length (in cm) of EF?

A solid cylinder of radius 35 cm and height 50 cm is melted and recast into smaller identical cylinders, each having radius 3.5 cm and height 15 cm. How many complete such smaller cylinders are formed?

Amit and Raghav invest in a business in the ratio \(5:7\) . If the total profit is ₹48,000, what is Raghav’s share?

A sum of money is invested at a simple interest rate of 8% per annum. After 3 years, the simple interest earned is ₹1,920. What is the principal invested?

A dishonest shopkeeper claims to sell 1 kg of rice at the cost price per kg. He actually uses a weight of 1200 g while purchasing rice, and a weight of 840 g while selling rice. What is the overall percentage profit made by the shopkeeper?&nbsp; (Round off the result to two decimal places.)

In an educational institute, the ratio of male students to female students is \(4:3\) . The ratio of the same female students to teaching staff is \(8:1\) . Find the ratio of total students (male + female) to teaching staff.

Three classes have 60, 40, and 50 students respectively. Their average marks are 65, 72, and 60. What is the average mark of all 150 students combined?

What is the mode of the following data? 53, 46, 55, 53, 40, 48, 53, 47, 41, 54, 43, 55, 54, 51, 43, 42, 44, 47

The difference between two numbers is 8. If twice the larger number is 4 more than three times the smaller number, what is the larger number?

The price of a book is increased from ₹200 to ₹220. What is the percentage increase in the price?

A dishonest shopkeeper claims to sell 1 kg of rice at the cost price per kg. He actually uses a weight of 1200 g while purchasing rice, and a weight of 840 g while selling rice. What is the overall percentage profit made by the shopkeeper? (Round off the result to two decimal places.)