RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 626
Arithmetic

Two pipes, A and B, can fill a tank in 20 minutes and 30 minutes, respectively. A waste pipe C can empty it in 60 minutes. All three are opened together. After 10 minutes, pipe C is closed. How much total time will it take to fill the tank?

A
14 minutes
B
15 minutes
C
17 minutes
D
12 minutes
Question 627
Arithmetic

A train A passes a fixed pole in 24 seconds. The same train completely crosses another train B of length 150 m coming from the opposite direction in 20 seconds. Train B’s speed is 54 km/h. Find the length and the speed of train A.

A
900 m and 134 km/h
B
600 m and 135 km/h
C
500 m and 135 km/h
D
900 m and 135 km/h
Question 628
Arithmetic

A pen is priced at ₹47. A scheme offers “Buy 4, Get 1 at 50% off”. What is the effective price per pen?

A
₹42.30
B
₹40.30
C
₹38.30
D
₹39.30
Question 629
Arithmetic

A cylindrical pipe has an external radius of 8 cm and an internal radius of 7 cm. If its length is 20 cm, what is the volume of material used in the pipe?  (Use  \(\pi = 3.14\) )

A
192 cubic cm
B
201 cubic cm
C
320 cubic cm
D
942 cubic cm
Question 630
Arithmetic

If \(x\) is the fourth proportional of 37, 25 and 888, what is the value of \(x\) ?

A
400
B
800
C
500
D
600
Question 631
Arithmetic

A daily commuter usually reaches his office on time by driving at a speed of 40 km/hr. One day, due to traffic, he drives at 30 km/hr and reaches 20 minutes late. What is the distance to his office?

A
40 km
B
60 km
C
50 km
D
30 km
Question 632
Arithmetic

What sum (in ₹) will earn a simple interest of ₹1,320 in 4 years at 12% per year rate of interest?

A
5,500
B
633.6
C
1,375
D
2,750
Question 633
Arithmetic

What least value must be given to \(n\) so that the number \(5135n2\) becomes divisible by 9?

A
5
B
3
C
4
D
2
Question 634
Arithmetic

Five years ago, Rahul was twice as old as his brother. If Rahul is 10 years older than his brother, what is Rahul’s present age?

A
15 years
B
25 years
C
30 years
D
20 years
Question 635
Arithmetic

A person spends 75% of his income. If his income increases by 20% and his expenditure increases by 10%, what is the percentage change in his savings?

A
60% increase
B
50% increase
C
40% increase
D
25% increase
Question 636
Arithmetic

The 7-digit number 77A444B is divisible by 24. What is the maximum value of (A + B)?

A
13
B
12
C
15
D
16
Question 637
Arithmetic

A car travels 560 km in 9.5 hours, partly at 40 km/h and partly at 160 km/h. Find the distance travelled at 160 km/h.

A
216 km
B
240 km
C
230 km
D
260 km
Question 638
Arithmetic

Two banks, A and B, offered loans at 3.5% and 6.5% per annum, respectively. Ashish borrowed an amount of ₹3,40,000 from each bank. Find the positive difference between the amounts of simple interest (in ₹) paid to the two banks by Ashish after 2 years.

A
21,900
B
19,900
C
20,400
D
21,400
Question 639
Arithmetic

Three positive numbers are in proportion such that the ratio of the first number to the second number is the same as the ratio of the second number to the third number. If the first number is 16 and the second number is 24, find the value of the third number.

A
64
B
32
C
36
D
48
Question 640
Arithmetic

The price of an article is increased by 20%. In the next step, it is decreased by x% of the new price. Finally, the price is increased by 10% of the original price. If the final price becomes exactly equal to the original price, the value of x is:

A
22.75
B
12.25
C
25
D
17.5
Question 641
Arithmetic

A four-digit number 3P2Q is divisible by both 2 and 3. Find the smallest value of P + Q.

A
4
B
7
C
2
D
1
Question 642
Arithmetic

If the mean proportional between x and 36 is 12, find x.

A
7
B
5
C
4
D
6
Question 643
Arithmetic

The price of an article is first increased by 20% and then decreased by 20%. If the original price of the article is ₹500, what is the net percentage change in the price?

A
2% increase
B
No change
C
4% decrease
D
5% decrease
Question 644
Arithmetic

A man bought an article and sold it at a profit of 15%. If he had bought it at 25% less cost price and sold it for ₹294 less than the original selling price, he would have made a profit of 30%. Find the cost price of the article.

A
₹1,630
B
₹1,540
C
₹1,590
D
₹1,680
Question 645
Arithmetic

A bus travels 90 km at 45 km/h, 120 km at 60 km/h, and 150 km at 75 km/h. What is the average speed of the bus for the entire journey?

A
66 km/h
B
70 km/h
C
55 km/h
D
60 km/h
Question 646
Arithmetic

Pipes A and B can fill a tank in 12 hours and 15 hours, respectively. A third pipe C can empty the full tank in 20 hours. If A and B are opened together for 2 hours and then C is also opened, what is the total time taken to fill the tank?

A
10 hours
B
8 hours
C
9.5 hours
D
9 hours
Question 647
Arithmetic

Arun sold an article for ₹1,786.40 and incurred a loss of 12%. At what price should he sell the article to earn a profit of 14%?

A
₹2,268.70
B
₹2,112.20
C
₹2,485.70
D
₹2,314.20
Question 648
Arithmetic

Two taps can fill a cistern in 4 hours and 8 hours, respectively. A third tap can empty it in 8 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?

A
1
B
4
C
2
D
3
Question 649
Arithmetic

The cost of 5 chairs and 3 tables is ₹12,500, while the cost of 3 chairs and 5 tables is ₹15,500. Find the cost of 2 chairs and 2 tables.

A
₹7,000
B
₹6,000
C
₹6,500
D
₹7,500
Question 650
Arithmetic

Sixteen identical solid cubes, each of side 2 cm, are melted and recast into a cuboid whose length is twice its breadth and height equals its breadth. Find the volume of the cuboid.

A
64 cm 3
B
128 cm 3
C
96 cm 3
D
100 cm 3