RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 776
Arithmetic

A five-digit number 7549A is divisible by 4 and 3. If it is divided by 12, what will be the remainder?

A
4
B
1
C
2
D
0
Question 777
Arithmetic

A company has three branches. Branch A has 40 employees with average monthly sales of ₹1,20,000, Branch B has 30 employees with average monthly sales of ₹1,80,000, and Branch C has 30 employees with average monthly sales of ₹1,50,000. What is the average monthly sales per employee of the company (in ₹)?

A
1,60,000
B
1,20,000
C
1,50,000
D
1,47,000
Question 778
Arithmetic

A cyclist travels from Town A to Town B, a distance of 78 km, at a speed of 13 km/h. He returns from Town B to Town A at a speed of 26 km/h. What is the total time taken for the round trip, in hours?

A
7
B
9
C
8
D
10
Question 779
Arithmetic

Of three numbers, the first number is 25 and the third number is 100. If the second number is the mean proportional between the first and the third numbers, find the value of the second number.

A
75
B
50
C
45
D
40
Question 780
Arithmetic

A shopkeeper offers the following schemes on toys of the same marked price.  (A) Successive discounts of 6% and 39% on any number of toys bought.  (B) Successive discounts of 48%, 16% and 11% on any number of toys bought.  (C) 37% discount on the first 2 toys and 29% discount on each toy thereon.  (D) 2 toys free of cost on buying 4 toys.  A customer wants to buy 4 toys. Which of the above schemes is the least beneficial to her?

A
B
B
D
C
C
D
A
Question 781
Arithmetic

A shopkeeper offers a single discount of 30% on a shirt priced at ₹800. Alternatively, he offers two successive discounts of 25% and 5% on the same shirt. What is the difference in the total discount amount between the two offers?

A
₹16
B
₹10
C
₹14
D
₹20
Question 782
Arithmetic

Two sisters, Anika and Riya, have a combined present age of 34 years. Five years ago from now, Anika was twice as old as Riya was then. What is Anika's current age in years?

A
20
B
23
C
21
D
18
Question 783
Arithmetic

A tank is full. Pipes A and B can drain the tank in 10 hours and 15 hours, respectively, while pipe C can fill the tank in 12 hours. Pipes A and B run for 2 hours, after which pipe C is also turned on. How many hours will it take to empty the tank completely?

A
10 hours
B
4 hours
C
8 hours
D
6 hours
Question 784
Arithmetic

20 note books, 100 pens and 50 pencils were bought for ₹3,500. If the average cost of a note book is ₹50 and that of a pencil is ₹10, find the average cost of a pen.

A
₹20
B
₹25
C
₹15
D
₹16
Question 785
Arithmetic

A and B can do a piece of work in 12 days and 24 days, respectively. Both work for 4 days and then A leaves. How long (in days) will B take to complete the remaining work?

A
14
B
13
C
11
D
12
Question 786
Arithmetic

A person travels half of a total distance at 30 km/h and the remaining half at 60 km/h. If the total distance is 120 km, how much time does the person take to complete the entire journey?

A
3 hours
B
5 hours
C
4 hours
D
2.5 hours
Question 787
Arithmetic

A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. If a perpendicular is drawn from the vertex opposite the longest side to the longest side, what is the length of the perpendicular? (Rounded off to two decimal places)

A
6.51 cm
B
5.37 cm
C
5.08 cm
D
4.62 cm
Question 788
Arithmetic

A city is planning a new park in the shape of a regular hexagon with each side measuring 10 meters. Which of the following is closest to the area of the park?

A
173.2 square meters
B
259.8 square meters
C
150 square meters
D
600 square meters
Question 789
Arithmetic

A shopkeeper buys an article for ₹500 and sells it for ₹575. What is the percentage profit?

A
20%
B
15%
C
12.5%
D
10%
Question 790
Arithmetic

Priya invested ₹3200 in a bank at a simple interest rate of 12% per annum. If she kept her money in the bank for 5 years, what will be the total interest earned?

A
₹1910
B
₹1930
C
₹1920
D
₹1940
Question 791
Arithmetic

Which of the following numbers are not divisible by 68?  ( i ) 17350  ( ii ) 23800  ( iii ) 28560  ( iv ) 35350

A
( iii ) and ( iv )
B
( ii ) and ( iii )
C
( i ) and ( iv )
D
( i ) and ( ii )
Question 792
Arithmetic

Find the greatest number that will divide 186, 321 and 402 so as to leave the same remainder in each case.

A
23
B
19
C
13
D
27
Question 793
Arithmetic

A mixture contains milk and water in the ratio 5:3. If 48 liters of water is added, the ratio becomes 5:5. Find the initial quantity of milk.

A
125 liters
B
120 liters
C
110 liters
D
115 liters
Question 794
Arithmetic

A flagpole stands on top of a building. From a point 25 metres away from the base of the building, the angle of elevation to the top of the flagpole is 60°, and to the top of the building is 30°. What is the height of the flagpole? (Round your answer off to the nearest metre, and use √3=1.7)

A
30 m
B
35 m
C
29 m
D
31 m
Question 795
Arithmetic

If the ratio of two numbers is 6 : 4, and their HCF is 49, then their LCM is:

A
294
B
298
C
287
D
295
Question 796
Arithmetic

Evaluate \(22^3 + (-16)^3 + (-6)^3\)

A
6220
B
6313
C
6336
D
6303
Question 797
Arithmetic

A floor is paved with 500 identical parallelogram-shaped tiles. The base and corresponding height of each tile are 8 cm and 6 cm, respectively. What is the total area of the floor covered by the tiles (in cm²)?

A
26,000
B
28,000
C
24,000
D
20,000
Question 798
Arithmetic

Two taps can fill a cistern in 4 hours and 17 hours, respectively. A third tap can empty it in 17 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?

A
4
B
2
C
3
D
1
Question 799
Arithmetic

Three friends P, Q, and R start a business by investing in the ratio 2:3:5. If the total profit is ₹10,000, how much more does R receive than P?

A
₹4,000
B
₹2,000
C
₹1,000
D
₹3,000
Question 800
Arithmetic

A vertical tower stands on level ground. From a point P, the angle of elevation to the top is 30°. After moving 100 m closer to the tower along the line joining P to the foot of the tower, the angle of elevation becomes 60°. The height of the tower is:

A
\(75\sqrt3\) meters
B
\(25\sqrt3\) meters
C
\(150\sqrt3\) meters
D
\(50\sqrt3\) meters