RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 576
Arithmetic

A person sells two items: one at a profit of 20% and another at a loss of 10%. If both items cost ₹100 each, what is the overall gain or loss percentage?

A
10% loss
B
10% gain
C
5% loss
D
5% gain
Question 577
Arithmetic

A town had a population of 5,000 at the beginning of a year. During the first year, the population decreased by 10%. In the following year, the population increased by 20%. What was the population of the town at the end of two years?

A
5800
B
5500
C
5200
D
5400
Question 578
Arithmetic

Evaluate \(23^3 + (-15)^3 + (-8)^3\)

A
8133
B
8059
C
8050
D
8280
Question 579
Arithmetic

During a sale, 50% of the goods are sold at 12% profit, 40% of the remaining goods are sold at 16% profit and the still remaining goods are sold at a loss of 19%. If there is an overall profit of x%, then what is the value of x?

A
2.5
B
5.5
C
4.5
D
3.5
Question 580
Arithmetic

10 men and 15 women can complete a project in 12 days. If after 8 days, only \(\tfrac23\) of the work is completed, how many more women must be added to finish the work in the next 2 days, assuming all men continue?

A
20
B
25
C
30
D
35
Question 581
Arithmetic

Which of the following numbers is divisible by 7?

A
21234
B
24019
C
23452
D
24017
Question 582
Arithmetic

Two poles of heights 10 m and 30 m stand vertically on level ground at a distance d apart. From a point on the ground between them, along the line joining their feet, the angles of elevation to their tops of the taller and the shorter poles are 60 \(^\circ\) and 30 \(^\circ\) , respectively. The distance d between the poles is:

A
\(25\sqrt3\) meters
B
\(10\sqrt3\) meters
C
\(20\sqrt3\) meters
D
\(30\sqrt3\) meters
Question 583
Arithmetic

An amount of ₹6,900 is obtained after 3 years at simple interest at the rate of 5% interest per annum. What is the principal invested?

A
₹5,600
B
₹6,000
C
₹5,800
D
₹6,400
Question 584
Arithmetic

The present ages of two persons, X and Y, are in the ratio 4 : 5. Five years from now, the difference between X's age and Y's age will be 3 years. Find the sum of their present ages (in years).

A
27
B
25
C
26
D
24
Question 585
Arithmetic

Article M is sold at a reduction of ₹3,000 from its original price, and Article N is sold at a reduction of ₹2,500 from its original price. If the original prices of both articles were ₹10,000, reduction in price of M is R1% and reduction in price of N is R2%, find the difference between R1 and R2.

A
10
B
5
C
15
D
20
Question 586
Arithmetic

A delivery drone is hovering at a fixed point in the air. From two points on the ground in a straight line on opposite sides of the drone, the angles of elevation of the drone are 30° and 60°. If the horizontal distance between the two points is 94 m, find the vertical height at which the drone is hovering. (Take \(\sqrt3 = 1.73\) )

A
42.562 m
B
40.752 m
C
41.652 m
D
40.655 m
Question 587
Arithmetic

The diagonals of a rhombus are in the ratio 5 : 12 and its area is 240 cm². Find the lengths (in cm) of the diagonals.

A
10 \(\sqrt2\) and 24 \(\sqrt2\)
B
<p>10 and 24</p>
C
5 \(\sqrt2\) and 12 \(\sqrt2\)
D
<p>5 and 12</p>
Question 588
Arithmetic

Three numbers are in the ratio 10 : 13 : 11, and their LCM is 2860. Their HCF is:

A
9
B
2
C
3
D
4
Question 589
Arithmetic

The lengths of two rods are 4 cm and 6 cm. A third rod is made such that the three rods are in continued proportion. What will be the length of the third rod?

A
12 cm
B
10 cm
C
8 cm
D
9 cm
Question 590
Arithmetic

A solid cylinder of radius 6 cm and height 14 cm is melted and recast into a hollow cylinder of half the height of the original cylinder. If the outer radius of the hollow cylinder is twice its inner radius, find the outer radius (in cm) of the hollow cylinder.

A
8
B
4 \(\sqrt6\)
C
6 \(\sqrt6\)
D
8 \(\sqrt3\)
Question 591
Arithmetic

The sides of a triangle are 51 cm, 35 cm, and 26 cm. What is the length (in cm) of its altitude corresponding to the side with a length of 35 cm?

A
60
B
53
C
40
D
24
Question 592
Arithmetic

What is the smallest number that must be added to 4583 so that the resulting number is divisible by 9?

A
1
B
7
C
5
D
3
Question 593
Arithmetic

Mike, Connor and Floyd can finish a certain piece of work in 8, 22 and 33 days, respectively. All three of them started the work together. Mike left the work after 4 days and Connor left just 2 days before the work was completed. Find the total number of days taken for the work to be completed.

A
7.8
B
18.9
C
7.1
D
3.8
Question 594
Arithmetic

A trader sells an article at a profit of 16%. If he had sold it for ₹80 more, his profit would have been 48%. Find the number of articles sold, given that the total cost price is ₹8,000.

A
25
B
32
C
35
D
38
Question 595
Arithmetic

Subrata invested a certain amount of money at 10% per annum. After 2 years, he received ₹220.5 as compound interest, compounded annually. Find the corresponding simple interest (in ₹) for 2 years at the same rate.

A
195
B
210
C
200
D
205
Question 596
Arithmetic

Nisha noted the number 76488 in her register. What is the remainder when it is divided by 8?

A
0
B
1
C
3
D
2
Question 597
Arithmetic

Evaluate \(20^3 + (-16)^3 + (-4)^3\)

A
3661
B
3630
C
3840
D
3868
Question 598
Arithmetic

A shopkeeper buys sugar at ₹25 per kg. He marks it at ₹32 per kg and allows a 20% discount on the marked price. While selling, he uses an 800 g weight instead of 1 kg. There is no other loss or expense. What is the overall profit or loss percentage of the shopkeeper?

A
30% loss
B
28% Loss
C
28% profit
D
30% profit
Question 599
Arithmetic

A person spends 70% of his income. If his income increases by 20% and his expenditure increases by 25%, then find the percentage change in his savings.

A
\(8\tfrac13\) % decrease
B
\(7\tfrac14\) % increase
C
\(6\tfrac14\) % decrease
D
\(8\tfrac13\) % increase
Question 600
Arithmetic

The number of hours spent per day by 10 students watching educational videos during a week are as follows: 2, 3, 4, 2, 5, 3, 2, 4, 2, 3. Find the mode.

A
2 hours
B
5 hours
C
3 hours
D
4 hours