RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 676
Arithmetic

What is the mean proportional between 0.16 and 0.49?

A
0.24
B
0.26
C
0.28
D
0.21
Question 677
Arithmetic

A trader sells goods at a 15% profit but uses a weight of 950 grams for a kilogram. What is his total profit percentage? (Correct to two decimal places.)

A
18.95%
B
20%
C
21.05%
D
25%
Question 678
Arithmetic

The cost of an article is increased by 20% in the first year. In the second year the increased cost is decreased by 24%. If the final cost of the article is ₹1,938, find the original cost of the article.

A
₹2,160
B
₹2,196
C
₹2,125
D
₹2,148
Question 679
Arithmetic

The HCF and LCM of two numbers are 27 and 324, respectively. If one number is 81, find the other number.

A
108
B
96
C
120
D
84
Question 680
Arithmetic

Rajiv invested a certain sum of money at 10% per annum. After 2 years, he received ₹199.5 as compound interest, compounded annually. Find the corresponding simple interest (in ₹) for 2 years at the same rate.

A
200
B
190
C
205
D
185
Question 681
Arithmetic

A teacher records the number of books read by each student in a month: 3, 5, 2, 3, 4, 5, 3, 2, 5, 5. What is the mode of this data set?

A
3
B
2
C
5
D
4
Question 682
Arithmetic

Harish bought an article for ₹347 and sold it to Renu at a loss of 6%. With this amount, Harish bought another article and sold it at a gain of 65%. What is Harish's overall gain percentage?

A
53.1%
B
50.9%
C
51.8%
D
55.1%
Question 683
Arithmetic

A train met with an accident 50 km away from station A. It completed the remaining journey at three-fourth of its original speed and reached station B 35 minutes late. Had the accident occurred 24 km further down the line, it would have been only 25 minutes late. What is the original speed of the train?

A
60 km/hr
B
40 km/hr
C
45 km/hr
D
48 km/hr
Question 684
Arithmetic

The price of fuel decreases by 45%, 50% and 25% in three successive months, but increases by 65% 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
69.13%
B
65.97%
C
67.46%
D
70.35%
Question 685
Arithmetic

Pipe X can fill a reservoir in 15 hours and pipe Y can empty it in 20 hours. If both pipes are opened simultaneously and pipe Y is closed after 10 hours, find the total time to fill the reservoir.

A
23 hours
B
23.5 hours
C
24 hours
D
22.5 hours
Question 686
Arithmetic

If the ratio of two numbers is 4 : 1, and their HCF is 47, then their LCM is:

A
376
B
188
C
412
D
406
Question 687
Arithmetic

From the top of a 75-meter-high lighthouse, the angles of depression of two ships are 30° and 45°. If the two ships are on the same side of the lighthouse and in a straight line with its base, find the distance between the two ships. (Use √3 = 1.732)

A
54.9 meters
B
52.5 meters
C
58.4 meters
D
61.2 meters
Question 688
Arithmetic

A pentagon is divided into three triangles by drawing diagonals from one of its vertices. The areas of two of these triangles are 24 cm2 and 30 cm2. The third triangle has a base of 12 cm and a height of 38 cm. What is the area (in cm2) of the pentagon?

A
282
B
242
C
275
D
228
Question 689
Arithmetic

The price of an article is successively increased by 9% and 13%. Find the percentage increase in the price of the article.

A
23.17%
B
22.57%
C
20.68%
D
24.69%
Question 690
Arithmetic

The present age of a father is equal to sum of ages of his son and daughter. Ten years ago from now, the age of the father was double the age of the son and four times the age of the daughter. The total present age of the father, daughter and son is ____ years.

A
100
B
120
C
80
D
60
Question 691
Arithmetic

A positive integer N divides 228, leaving a remainder of 18. What is the greatest two-digit value of N?

A
60
B
70
C
42
D
84
Question 692
Arithmetic

Pipes, A and B, can fill a tank in 10 hours. Pipes, B and C, can fill the same tank in 20 hours. If pipe B alone can fill the same tank in 30 hours, how much time will the pipes A and C take together to fill the same tank.

A
13 hours
B
14 hours
C
12 hours
D
16 hours
Question 693
Arithmetic

Chetan's salary is ₹16000 per month. He spends ₹6000 on house rent, ₹1500 on bills and the rest of the amount is his monthly savings. Find his savings (in ₹) in a year, if in the month of his birthday he spent his complete monthly saving for birthday celebration.

A
85000
B
76500
C
102000
D
93500
Question 694
Arithmetic

A faster train overtakes a slower train, both moving in the same direction. The faster train takes 36 seconds to completely pass the slower train. A passenger sitting in the faster train observes that he passes the slower train in 12 seconds. Find the ratio of the length of the faster train to the length of the slower train.

A
3 : 2
B
3 : 1
C
1 : 1
D
2 : 1
Question 695
Arithmetic

Two trains, 130 meters and 120 meters long, are running in parallel tracks in the same direction at speeds of 62 km/hr and 44 km/hr, respectively. How much time will the faster train take to completely cross the slower one?

A
45 seconds
B
50 seconds
C
60 seconds
D
55 seconds
Question 696
Arithmetic

If the average of four numbers is 15, and three of the numbers are 10, 20, and 25, what is the fourth number?

A
5
B
10
C
15
D
20
Question 697
Arithmetic

In \(\Delta ABC\) , \(\angle A = (3x-7)^\circ,\ \angle B = 2\angle A\) and \(\angle C = (4x+6)^\circ\) . Find the value of \(\angle A+\angle C\) .

A
115°
B
148°
C
135°
D
104°
Question 698
Arithmetic

The simple interest on a certain sum for 4 years at 10% interest per annum is ₹3,200. What will be the amount payable after 6 years at the same rate?

A
₹12,800
B
₹12,400
C
₹11,800
D
₹11,400
Question 699
Arithmetic

A and B can complete a piece of work in 12 days and 6 days, respectively. Both work together for 2 days and then A leaves. B completes the remaining work alone. In how many days is the whole work completed?

A
6
B
4
C
5
D
3
Question 700
Arithmetic

₹5,278 is divided among X, Y, and Z in such a way that if ₹67, ₹61, and ₹68 are deducted from their respective shares, they have money in the ratio 8 : 20 : 5. Find X's share after deduction.

A
₹1,132
B
₹1,082
C
₹1,232
D
₹1,332