RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 376
Arithmetic

Find the greatest number that divides 75, 105 and 150 exactly.

A
10
B
25
C
5
D
15
Question 377
Arithmetic

A team of 3 workers, P, Q, and R, is assigned to paint a large wall. P alone can finish the work in 14 days, Q alone in 21 days, and R alone in 42 days. If they start together but P leaves after 4 days, and the remaining work is completed by Q and R together, in how many total days is the wall completely painted?

A
10 days
B
9 days
C
11 days
D
12 days
Question 378
Arithmetic

A shopkeeper fixes the marked price of an item 150% above its cost price. What percentage of discount on marked price should be allowed to gain 110%?

A
17%
B
16%
C
14%
D
15%
Question 379
Arithmetic

Which of the following pairs of numbers is co-prime? A) (15, 25) B) (14, 35) C) (9, 28) D) (21, 49)

A
B
B
C
C
D
D
A
Question 380
Arithmetic

Three positive integers a, b, and c satisfy the following conditions: (i) a and b are coprime, (ii) b and c are coprime, (iii) a and c are not coprime, (iv) abc = 360. The minimum possible value of a + b + c is:

A
95
B
27
C
23
D
33
Question 381
Arithmetic

The average of 6.5, 10.8, 20 and a is 13. The value of a is:

A
15.7
B
16.7
C
14.7
D
13.7
Question 382
Arithmetic

If 45% of a number exceeds 20% of it by 30, then the number is:

A
140
B
100
C
120
D
160
Question 383
Arithmetic

A product with marked price ₹3,000 is sold with successive discounts of 15% and 25%. What is the final selling price after these two discounts?

A
₹1,936.50
B
₹1,872
C
₹1,912.50
D
₹1,896
Question 384
Arithmetic

Two articles are sold at the same selling price. On one article, the trader makes a 25% profit, and on the other, he incurs a 25% loss. What is the overall percentage loss?

A
7.25%
B
6.25%
C
5.25%
D
8.25%
Question 385
Arithmetic

A merchant marks his products 30% above the cost price and provides a 10% discount on the marked price. What percent profit does he earn?

A
17%
B
15%
C
16%
D
18%
Question 386
Arithmetic

The sum of two numbers is 54. If three times the smaller number exceeds twice the larger number by 6, find the difference between the two numbers.

A
8.4
B
7.6
C
6.6
D
7.2
Question 387
Arithmetic

The price of an article is first increased by 30% and then decreased by 20%. Due to these successive changes, the final price becomes ₹40 more than the original price. What is the original price of the article?

A
₹1,000
B
₹1,200
C
₹1,100
D
₹900
Question 388
Arithmetic

Find the third proportional to 240 and 120.

A
40
B
50
C
60
D
80
Question 389
Arithmetic

In a school, Class A has 24 students with an average height of 160 cm, and Class B has 20 students with an average height of 168 cm. The average height of students in Class C is 165 cm. If the overall average height of all students from Classes A, B and C is 164 cm, find the number of students in Class C.

A
20
B
26
C
18
D
16
Question 390
Arithmetic

Two trains of lengths 160 meters and 140 meters are moving in opposite directions at 55 km/h and 65 km/h, respectively. Find the time taken by them to cross each other completely.

A
6 seconds
B
9 seconds
C
8 seconds
D
10 seconds
Question 391
Arithmetic

A company hires a certain number of temporary workers for a project. If each worker is paid ₹500 per day, the total daily wage bill exceeds the company’s budget by ₹4,000. If instead each worker is paid ₹450 per day, the total daily wage bill falls short of the budget by ₹2,000. Find the number of workers hired.

A
120
B
160
C
200
D
280
Question 392
Arithmetic

Workers P and Q can complete a task in 16 days if working together. P alone takes 24 days. If P and Q start the task together, but Q leaves after 4 days, how many more days will P alone take to finish the work?

A
10 days
B
6 days
C
9 days
D
18 days
Question 393
Arithmetic

If the average of three numbers is 7, what is their total sum?

A
7
B
21
C
10
D
14
Question 394
Arithmetic

Raghav drives from City A to City B in three equal segments of 40 km each. He drives the first segment at 40 km/hr, the second at 60 km/hr, and the third at 120 km/hr. What is his average speed for the whole trip?

A
50 km/hr
B
64 km/hr
C
60 km/hr
D
68 km/hr
Question 395
Arithmetic

The price of fuel decreases by 45%, 25% and 15% in three successive months, but increases by 45% in the fourth month. What is the percentage decrease in the price of fuel in the fourth month as compared to its original price? (Round off to 2 decimal places.)

A
53.54%
B
47.82%
C
49.16%
D
46.44%
Question 396
Arithmetic

A shopkeeper fixes the marked price of an item 120% above its cost price. What percentage of discount on marked price should be allowed to gain 43%?

A
35%
B
38%
C
33%
D
32%
Question 397
Arithmetic

A number leaves a remainder of 2 when divided by 5 and a remainder of 3 when divided by 7. What is the smallest positive integer that satisfies both conditions?

A
38
B
23
C
24
D
17
Question 398
Arithmetic

A wholesaler offers a trade discount of 30% on the marked price of an electric kettle to retailers. A retailer then announces a scheme discount of 12% on the price after receiving the trade discount. If the retailer sells the kettle to a customer for ₹2,464, what is the marked price of the kettle?

A
₹4,000
B
₹4,400
C
₹4,200
D
₹3,800
Question 399
Arithmetic

What is the largest 6-digit number that is completely divisible by 96?

A
999888
B
999984
C
999912
D
999936
Question 400
Arithmetic

Two positive numbers differ by 20. The mean proportional between these two numbers is 24. What is the sum of these two numbers?

A
53
B
51
C
52
D
50