RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 801
Arithmetic

A shopkeeper sells a watch at a loss of 10%. If he had sold it for ₹450 more, he would have made a profit of 5%. What is the cost price of the watch?

A
₹3,000
B
₹3,500
C
₹4,000
D
₹4,500
Question 802
Arithmetic

If a sphere with radius 10 cm is painted, but 25% of its surface area is masked and not painted, what is the painted area?

A
100 \(\pi\) cm 2
B
300 \(\pi\) cm 2
C
400 \(\pi\) cm 2
D
200 \(\pi\) cm 2
Question 803
Arithmetic

A shopkeeper fixes the marked price of an item 165% above its cost price. What percentage of discount on marked price should be allowed to gain 112%?

A
20%
B
23%
C
21%
D
19%
Question 804
Arithmetic

A, B and C are three batsmen. The ratio of runs scored by them in a certain match was A : B = 15 : 17 and B : C = 14 : 19. At the end of the match, they scored 1542 runs. Find the number of runs scored by A.

A
520
B
420
C
540
D
480
Question 805
Arithmetic

A car travels 120 km at 40 km/h, 120 km at 60 km/h, and 100 km at 80 km/h. What is the average speed of the car for the whole journey?

A
54.4 km/h
B
62.5 km/h
C
55.6 km/h
D
65 km/h
Question 806
Arithmetic

The HCF of two numbers is 8, and their LCM is 240. If the sum of the two numbers is 88, what are the numbers?

A
16 and 72
B
32 and 56
C
40 and 48
D
24 and 64
Question 807
Arithmetic

ABC is an equilateral triangle with side 24 cm and AD is the median. If G is the centroid of the triangle ABC, find the length (in cm) of GD.

A
4 \(\sqrt3\)
B
6 \(\sqrt2\)
C
3 \(\sqrt2\)
D
9 \(\sqrt3\)
Question 808
Arithmetic

If the interest on a sum of ₹y at 10% per annum compounded annually for 2 years is ₹630, then the total amount payable at the end of the two-year period will be _________.

A
₹3,540
B
₹3,950
C
₹4,100
D
₹3,630
Question 809
Arithmetic

If the 8-digit number 79243p25 is divisible by 11, then the minimum value of p is:

A
7
B
2
C
8
D
4
Question 810
Arithmetic

In a smart city, the number of electric vehicles increased by 18% in 2021 and 22% in 2022. What is the total percentage increase in electric vehicles over the two years?

A
46%
B
43.96%
C
40%
D
41.6%
Question 811
Arithmetic

If the arithmetic mean of five numbers is 20 and one number is changed from 10 to 20, what happens to the mean?

A
It decreases by 5
B
It decreases by 2
C
It stays the same
D
It increases by 2
Question 812
Arithmetic

A wholesaler offers a discount of 10% on a commodity, marked at ₹3,000, on an order of less than 20 items. Also, on an order of more than 20 items, an additional discount of 5% is offered on the commodity. What amount does a retailer have to pay to purchase 25 items of the commodity whose marked price is ₹3,000?

A
₹72,543
B
₹25,650
C
₹64,125
D
₹26,125
Question 813
Arithmetic

Riya, Kabir, and Sana start a business together. Riya invests ₹13500 for 8 months, Kabir invests ₹21000 for 6 months, and Sana invests ₹18000 for 12 months. At the end of the year, they earn a total profit of ₹12,600. What is Kabir's share of the profit (in ₹)?

A
₹3,528
B
₹4,030
C
₹4,285
D
₹3,722
Question 814
Arithmetic

The weighted average marks of a student in Physics, Chemistry and Mathematics are 68. The weightages of the subjects Physics, Chemistry and Mathematics are in the ratio 3 : 2 : 5. If the student scored 60 in Physics and 70 in Chemistry, then find the marks in Mathematics.

A
68
B
66
C
72
D
74
Question 815
Arithmetic

The present ages of P and Q are in the ratio 4 : 5. Eight years ago, the ratio of their ages was 2 : 3. The harmonic mean of their present ages is

A
17 \(\tfrac79\) years
B
19 \(\tfrac79\) years
C
16 \(\tfrac79\) years
D
18 \(\tfrac79\) years
Question 816
Arithmetic

Three numbers are in the ratio 3 : 2 : 11, and their LCM is 3564. Their HCF is:

A
88
B
54
C
67
D
38
Question 817
Arithmetic

A car travels a distance of 540 km. For the first 3 hours, it travels at a speed of 80 km/h, and for the remaining hours, it reduces its speed to 60 km/h. Find the total time taken by the car to cover the entire distance.

A
4 hours
B
6 hours
C
8 hours
D
2 hours
Question 818
Arithmetic

The sum of two digits of a 2-digit number is 9. If the number obtained by interchanging the digits exceeds the original number by 27, find the number.

A
45
B
27
C
36
D
63
Question 819
Arithmetic

Priya lent ₹920 to her friend at 5% per annum simple interest for 3 years. How much simple interest does she earn in this period?

A
₹145
B
₹127
C
₹150
D
₹138
Question 820
Arithmetic

Which single digit should replace the blank in the number 1_36 so that the number is divisible by 9?

A
3
B
8
C
1
D
5
Question 821
Arithmetic

The population of a town decreased from 8,000 to 7,200 in one year. What is the percentage decrease?

A
10%
B
12%
C
15%
D
8%
Question 822
Arithmetic

X can finish a job in 20 days. Y can complete the same job in 15 days. If X and Y work together for 5 days and X leaves, how long will Y take to finish the remaining work?

A
6.25 days
B
7 days
C
4.5 days
D
5 days
Question 823
Arithmetic

A vendor uses a 50 g stone in place of a 60 g weight while selling salt. If he sells the salt at the cost price per kilogram, what is his profit percentage on the transaction?

A
20%
B
18%
C
15%
D
16.67%
Question 824
Arithmetic

A person walks 40 km at a speed of 5 km/hr, then runs 30 km at a speed of 10 km/hr. What is the ratio of walking time to running time?

A
3 : 8
B
3 : 5
C
5 : 3
D
8 : 3
Question 825
Arithmetic

Suppose the ratio of income to expenditure is 8 : 5. If income rises by 40% and expenditure falls by 10%, and the initial expenditure is ₹10,000, what is the amount (in ₹) of saving after these changes?

A
13,400
B
13,500
C
13,300
D
13,200