RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 501
Arithmetic

If the interest on a sum of ₹y at 2% per annum compounded annually for 2 years is ₹404, then the total amount payable at the end of the two-year period will be _________.

A
₹10,404
B
₹10,604
C
₹10,704
D
₹10,504
Question 502
Arithmetic

Find the smallest natural number x, for which 2x + 1 is not a prime number.

A
3
B
2
C
4
D
5
Question 503
Arithmetic

15 men and 19 women can complete a piece of work in 8 days, and 9 men and 4 women can complete the same work in 14 days. The work of how many women is equivalent to that of one man?

A
18
B
17
C
15
D
16
Question 504
Arithmetic

Two numbers differ by 8. If five times the smaller number is subtracted from twice the larger number, the result is 13. What is the larger number?

A
12
B
10
C
8
D
9
Question 505
Arithmetic

A shopkeeper buys sugar at ₹48 per kg. While selling, he uses a faulty weighing scale that gives only 960 g instead of 1 kg. In addition, he marks the selling price at a profit of 20% on the cost price and then offers a discount of 10% on the marked price. Find the overall percentage profit or loss made by the shopkeeper.

A
4.5% loss
B
11.4% profit
C
12.5% profit
D
10% profit
Question 506
Arithmetic

Three numbers are in the ratio of 19 : 7 : 13, and their LCM is 8645. Their HCF is:

A
25
B
5
C
15
D
30
Question 507
Arithmetic

Which of the following numbers is divisible by 11?

A
869756
B
978626
C
447255
D
112044
Question 508
Arithmetic

What sum (in ₹) will earn a simple interest of ₹1,320 in 3 years at 16% per year rate of interest?

A
633.6
B
5,500
C
1,375
D
2,750
Question 509
Arithmetic

If the difference between the ages of a mother and her daughter is 24 years, and the sum of their ages is 52 years, how old (in years) is the mother?

A
40
B
36
C
38
D
28
Question 510
Arithmetic

What is the ratio between the third proportional of 36 and 48 to the third proportional of 49 and 64?

A
16:25
B
38:41
C
3:5
D
49:64
Question 511
Arithmetic

The HCF and LCM of two numbers are 15 and 225, respectively. Which of the following pairs can be the numbers?

A
25 and 135
B
25 and 65
C
45 and 75
D
15 and 75
Question 512
Arithmetic

Two trains P and Q, measure 200 m and 300 m in length, respectively. The faster train, coming from behind, takes 48 seconds to overtake the slower when moving in the same direction. When they approach each other from opposite directions, they cross each other completely in 20 seconds. Determine the speed of the faster train.

A
62.75 km/h
B
61.75 km/h
C
63.75 km/h
D
60.75 km/h
Question 513
Arithmetic

A cylindrical tank of radius 20 cm contains water up to a height of 10 cm. If 30 solid spheres, each of radius 7 cm, are completely immersed in the water, then the rise in the water level (in cm) is (Use \(\pi = 3.14\) )

A
28.7 cm
B
34.3 cm
C
32.4 cm
D
36.5 cm
Question 514
Arithmetic

A cistern is filled by two taps, C and D, in 54 minutes and 81 minutes, respectively. There is also a drain E at the bottom. If all three are opened simultaneously, the cistern is filled in 108 minutes. In how many minutes can drain E alone empty the cistern? (up to two decimal places)

A
42.06
B
45.64
C
46.29
D
49.24
Question 515
Arithmetic

A person travels three-fifths of the total distance from home to office by train, one-fourth by car, and the remaining 300 metres on foot. What is the total distance (in kilometres) from home to office?

A
3
B
4
C
2
D
5
Question 516
Arithmetic

A shopkeeper claims to sell rice at cost price, but uses a false weight and gains 25%. For 1 kg, how much rice does he actually give?

A
900 gm
B
800 gm
C
750 gm
D
850 gm
Question 517
Arithmetic

In a parallelogram, one angle is 70°. What are the measures of the other three angles?

A
110°, 110°, 110°
B
70°, 110°, 110°
C
70°, 90°, 110°
D
70°, 70°, 70°
Question 518
Arithmetic

If ₹5,000 is invested at 8% per annum compounded annually, what will be the compound interest earned after 2 years?

A
₹816
B
₹840
C
₹832
D
₹800
Question 519
Arithmetic

A shopkeeper offers the following schemes on toys of the same marked price.  (A) Successive discounts of 27% and 39% on any number of toys bought.  (B) Successive discounts of 39%, 7% and 40% on any number of toys bought.  (C) 26% discount on the first 9 toys and 13% discount on each toy thereon.  (D) 7 toys free of cost on buying 9 toys.  A customer wants to buy 9 toys. Which of the above schemes is the least beneficial to her?

A
D
B
C
C
B
D
A
Question 520
Arithmetic

An item is sold after giving successive discounts of 10% and 20%. What is the net percentage reduction in its price?

A
28%
B
34%
C
32%
D
30%
Question 521
Arithmetic

Two taps can fill a cistern in 4 hours and 13 hours, respectively. A third tap can empty it in 13 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
4
C
1
D
3
Question 522
Arithmetic

A shopkeeper marks a washing machine at ₹24,000. During a festival, he offers a 20% discount and sells it for an additional ₹800 less. What is the final selling price of the washing machine?

A
₹17,600
B
₹18,800
C
₹18,400
D
₹19,200
Question 523
Arithmetic

A shopkeeper sells an article to A at a profit of 20%. A sells it to B at a profit of 25%. If B pays ₹3,000, what is the cost price of the article for the shopkeeper?

A
₹2,080
B
₹2,100
C
₹2,200
D
₹2,000
Question 524
Arithmetic

A shopkeeper buys two types of notebooks. The cost of 3 notebooks of the first type and 5 notebooks of the second type together is ₹420. The cost of one notebook of the second type is ₹20 more than the cost of one notebook of the first type. What is the cost of one notebook of the first type?

A
₹40
B
₹45
C
₹42
D
₹48
Question 525
Arithmetic

Three friends, Amit, Bala, and Chetan, have savings in the ratio 5:7:9. If Bala's savings exceed Amit's by ₹3,600, what are Chetan's total savings?

A
₹16,800
B
₹16,200
C
₹16,600
D
₹16,400