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
4B
1C
2D
0Question 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
1,60,000B
1,20,000C
1,50,000D
1,47,000Question 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
7B
9C
8D
10Question 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
75B
50C
45D
40Question 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
BB
DC
CD
AQuestion 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
₹16B
₹10C
₹14D
₹20Question 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
20B
23C
21D
18Question 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 hoursB
4 hoursC
8 hoursD
6 hoursQuestion 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
₹20B
₹25C
₹15D
₹16Question 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
14B
13C
11D
12Question 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 hoursB
5 hoursC
4 hoursD
2.5 hoursQuestion 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 cmB
5.37 cmC
5.08 cmD
4.62 cmQuestion 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 metersB
259.8 square metersC
150 square metersD
600 square metersQuestion 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
₹1910B
₹1930C
₹1920D
₹1940Question 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
23B
19C
13D
27Question 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 litersB
120 litersC
110 litersD
115 litersQuestion 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 mB
35 mC
29 mD
31 mQuestion 795
Arithmetic
If the ratio of two numbers is 6 : 4, and their HCF is 49, then their LCM is:
A
294B
298C
287D
295Question 796
Arithmetic
Evaluate \(22^3 + (-16)^3 + (-6)^3\)
A
6220B
6313C
6336D
6303Question 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
26,000B
28,000C
24,000D
20,000Question 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
4B
2C
3D
1Question 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
₹4,000B
₹2,000C
₹1,000D
₹3,000Question 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
\(75\sqrt3\) metersB
\(25\sqrt3\) metersC
\(150\sqrt3\) metersD
\(50\sqrt3\) meters