RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 201
Arithmetic

A and B can complete a task in 20 days and 25 days, respectively. They started working together, but B left after 5 days. How many more days will A take to finish the remaining work?

A
12 days
B
11 days
C
10 days
D
9 days
Question 202
Arithmetic

The perimeter of a rectangle is 56 cm. Its length is 4 cm more than twice its breadth. Find the breadth.

A
6 cm
B
12 cm
C
10 cm
D
8 cm
Question 203
Arithmetic

A sum of ₹8,000 is invested at a compound interest rate of 12.5% per annum for 2 years, compounded annually. What is the compound interest earned?

A
₹2,000
B
₹2,500
C
₹2,250
D
₹2,125
Question 204
Arithmetic

If the compound interest on a sum for 2 years at 5% per annum is ₹102.50, what is the sum?

A
₹1,000
B
₹1,025
C
₹950
D
₹1,100
Question 205
Arithmetic

A solid cube is melted and half of its material is recast into a cuboid whose length, breadth, and height are in the ratio 2 : 1 : 1. The difference between the volume of the original cube and the cuboid formed is 250 cm 3 . Find the total surface area of the cuboid.

A
100 cm 2
B
120 cm 2
C
80 cm 2
D
250 cm 2
Question 206
Arithmetic

A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 5% and 30% on any number of toys bought. (B) Successive discounts of 18%, 15% and 5% on any number of toys bought. (C) 11% discount on the first 5 toys and 47% discount on each toy thereon. (D) 2 toys free of cost on buying 5 toys. A customer wants to buy 5 toys. Which of the above schemes is the least beneficial to her?

A
B
B
D
C
C
D
A
Question 207
Arithmetic

Find the third proportional to 6 and 12.

A
24
B
36
C
18
D
48
Question 208
Arithmetic

Three numbers in the ratio 2 : 5 : 7 are taken as the first, second, and third terms, respectively. If their fourth proportional is 140, find the middle number.

A
50
B
35
C
30
D
40
Question 209
Arithmetic

A bus covers 90 km in 3 hours. If the speed of the bus is increased by 5 kmph, find the time taken to cover a distance of 70 km?

A
3 hours
B
2.5 hours
C
3.5 hours
D
2 hours
Question 210
Arithmetic

The price of an article is increased by 25%. By what percentage should the increased price be reduced so that it becomes equal to the original price?

A
22%
B
20%
C
30%
D
25%
Question 211
Arithmetic

In a division sum, the divisor is 5 times the quotient and 4 times the remainder. If the remainder is 15, what is the dividend?

A
740
B
734
C
739
D
735
Question 212
Arithmetic

Two taps can fill a cistern in 4 hours and 10 hours, respectively. A third tap can empty it in 10 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?

A
2
B
3
C
1
D
4
Question 213
Arithmetic

Ritu covers a distance of 40 km at 20 km/h and another distance at 40 km/h in 3 hours. Find the average speed for the whole journey.

A
32 km/h
B
26 km/h
C
31 km/h
D
38 km/h
Question 214
Arithmetic

A sum of money amounts to ₹19,360 in 3 years at 10% per annum, compounded annually. The compound interest (in ₹) earned is  (Round off your answer to the nearest paise.)

A
₹4914.55
B
₹4714.55
C
₹4614.55
D
₹4814.55
Question 215
Arithmetic

Three automatic doors in a metro station undergo system checks at regular intervals of 14 minutes, 18 minutes, and 21 minutes, respectively. If all three doors are checked together at the start, after how many minutes will they be checked together again for the first time?

A
132 minutes
B
126 minutes
C
142 minutes
D
136 minutes
Question 216
Arithmetic

Aman and Raj invested ₹12,000 and ₹18,000, respectively, in a business. After one year, they earned a profit of ₹15,000. How much profit will each get?

A
Aman: ₹8,000, Raj: ₹7,000
B
Aman: ₹7,500, Raj: ₹7,500
C
Aman: ₹6,000, Raj: ₹9,000
D
Aman: ₹5,000, Raj: ₹10,000
Question 217
Arithmetic

Find the median of the following data (correct to two places of decimal). Class interval  0-6  6-12  12-18  18-24  24-30  30-36  Frequency 5 7 10 13 9 8

A
29.73
B
21.23
C
19.85
D
26.48
Question 218
Arithmetic

A cylindrical tank has a radius of 7 m and a height of 11 m. How many litres of water can it hold? (Use π = 22/7)

A
16,94,000
B
16,74,000
C
16,64,000
D
16,84,000
Question 219
Arithmetic

A shopkeeper bought 7 decorative lamps for ₹2,850. Due to damage, 2 lamps could not be sold. He sold the remaining lamps at ₹360 each. What is his total loss (in ₹)?

A
₹960
B
₹1,050
C
₹840
D
₹1,100
Question 220
Arithmetic

The cost of a certain fabric is directly proportional to its length for a given width. If the cost of 8 meters of the fabric is ₹3,200, what will be the cost of 25 meters of the same fabric?

A
₹9,800
B
₹9,400
C
₹10,000
D
₹9,600
Question 221
Arithmetic

Find the mode of the following distribution: Class 5-15  15-25  25-35  35-45  Frequency   6  14  18  12

A
29
B
30
C
28
D
26
Question 222
Arithmetic

40 persons begin to work together on a job. But after some days 10 persons left the work. As a result, the job which should have been completed in 50 days is completed in 60 days. How many days after the commencement of the work did the 10 persons leave?

A
15
B
18
C
22
D
20
Question 223
Arithmetic

If p is a prime number and GCD \((p^2 - 1,\ p^2 + 1) = 2\) , then the value of p must be:

A
Any prime number
B
Any odd prime
C
Only 3
D
Only 2
Question 224
Arithmetic

A car covers a distance of 180 km in 3 hours. Find its average speed.

A
50 km/h
B
70 km/h
C
80 km/h
D
60 km/h
Question 225
Arithmetic

Riya and Neha have certain amount of money. If Riya gives ₹20 to Neha, then Riya will have three times as much money as Neha. However, if Neha gives ₹40 to Riya, then Riya will have five times as much money as Neha. What is the total amount of money (in ₹) that Riya and Neha initially had together?

A
710
B
690
C
720
D
700