RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 826
Arithmetic

The area of a regular polygon with a side of 11 cm is 247.5 cm². If the perpendicular distance from the centre to the side of the polygon is 9 cm, what is the number of sides of the polygon?

A
8
B
5
C
7
D
6
Question 827
Arithmetic

The largest four-digit number which when divided by 6, 10 and 14 leaves remainder 3 in each case is:

A
9873
B
9716
C
9889
D
9932
Question 828
Arithmetic

S's expenditure is double the difference between his savings and expenditure. What percentage of his salary is his expenditure?

A
40%
B
42%
C
46%
D
44%
Question 829
Arithmetic

A customer is given two options for purchasing a product priced at ₹8,000: Option 1: A single discount of 30%. Option 2: Successive discounts of 20% and 15%. Which option provides a greater discount, and by how much?

A
Option 2 and by ₹160
B
Option 1 and by ₹160
C
Option 1 and by ₹150
D
Option 2 and by ₹150
Question 830
Arithmetic

Pipe A can fill a cistern in 10 hours, pipe B in 15 hours, and pipe C can empty it in 30 hours. All three pipes are opened together. After 6 hours, pipe A is closed, but B and C continue working. How much total time will it take to completely fill the cistern?

A
20 hours
B
10 hours
C
12 hours
D
15 hours
Question 831
Arithmetic

ABCD is a quadrilateral in which AB∥DC, and E and F are the mid points of the diagonals AC and BD, respectively. If AB = 14 cm, BC = 64 cm, DC = 72 cm, and AD = 47 cm, then what is the length (in cm) of EF?

A
27
B
28
C
29
D
31
Question 832
Arithmetic

An article is sold at a profit of 32%. If the cost price is increased by ₹20 and the selling price is reduced by ₹42, then the profit would be 27.5%. What is the original cost price (in ₹) of the article?

A
1,500
B
1,800
C
1,200
D
1,700
Question 833
Arithmetic

Two taps can fill a cistern in 4 hours and 20 hours, respectively. A third tap can empty it in 20 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?

A
3
B
4
C
2
D
1
Question 834
Arithmetic

The 7-digit number 12A916B is divisible by 24. What is the maximum value of (A + B)?

A
16
B
17
C
13
D
12
Question 835
Arithmetic

The sum of two positive numbers is 88 and their product is 1927. The positive difference between them is:

A
17
B
26
C
6
D
21
Question 836
Arithmetic

If a and b are two coprime numbers such that a + b = 41, then what is the maximum possible value of a × b?

A
360
B
540
C
420
D
210
Question 837
Arithmetic

A trader fixes the marked price of an article at ₹10,630. He sells it to customers for ₹9248.10 after giving certain discount. Find the discount percentage.

A
13%
B
14%
C
12%
D
9%
Question 838
Arithmetic

A solid cylinder of radius R and height H, is melted and recast into three identical cylinders, each having the same height as the original cylinder but half the radius of the original cylinder. What fraction of the original cylinder's volume remains unused?

A
\(\dfrac34\)
B
\(\dfrac14\)
C
\(\dfrac23\)
D
\(\dfrac12\)
Question 839
Arithmetic

Saumya has ₹ 24,800 in denominations of ₹500 and ₹100 notes. The number of ₹500 notes is 4 more than the number of ₹100 notes. Find the number of ₹100 notes.

A
40
B
38
C
42
D
36
Question 840
Arithmetic

Three bags A, B, and C contain only red and blue marbles.  In Bag A, the ratio of red to blue marbles is 2 : 3.  In Bag B, the ratio of red to blue marbles is 4 : 1.  In Bag C, the ratio of red to blue marbles is 3 : 2.  Which bag has the highest proportion of red marbles?

A
Bag A
B
Bag C
C
Bag B
D
All bags have the same proportion.
Question 841
Arithmetic

A man sells a watch at a loss of 10%. Had he increased the selling price by ₹120, the transaction would have resulted in a gain of 5%. Determine the selling price of the watch.

A
₹840
B
₹720
C
₹760
D
₹800
Question 842
Arithmetic

The simple interest on ₹55,000 at 5.5% per annum simple rate of interest is ₹______ in 5.5 years.

A
16,637.5
B
14,452.5
C
15,525.5
D
17,712.5
Question 843
Arithmetic

Simplify: \(0.375 + \dfrac38 - 0.125\)

A
0.875
B
0.625
C
0.5
D
0.75
Question 844
Arithmetic

A sum becomes ₹9,075 after 2 years at 10% per annum compound interest, compounded annually. What was the principal amount (in ₹)?

A
7,650
B
7,800
C
7,500
D
8,000
Question 845
Arithmetic

From the top of a building 20 m high, the angles of depression of the top and the bottom of a tower standing on the same horizontal ground are observed to be 30° and 60°, respectively. The height (in meter) of the tower is: (Round off your answer to two decimal places.)

A
13.33 m
B
12.67 m
C
13.67 m
D
12.33 m
Question 846
Arithmetic

A cyclist travels from point A to B and then returns from B to A along the same route. On the onward journey, he covers two-fifths of the distance at 15 km/hr and the remaining distance at 20 km/hr. On the return journey, he covers one-fourth of the distance at 16 km/hr and the remaining distance at 24 km/hr. Find the average for the entire trip. (Round off your answer to two decimal places.)

A
19.32 km/hr
B
20.56 km/hr
C
17.54 km/hr
D
23.34 km/hr
Question 847
Arithmetic

The following data represents the weekly wages (in ₹) of the employees.  Weekly wages (in ₹) 900 1000 1100 1200 1300 1400 1500 Number of employees  12 12 14 13 14 11 14 Find the arithmetic mean of the weekly wages (in ₹). 

A
₹1204.44
B
₹1186.25
C
₹1226.85
D
₹1056.35
Question 848
Arithmetic

Eight years ago, the age of Mr Gupta was four times that of his nephew, Rohit. After 6 years, Mr Gupta's age will be twice that of Rohit. Find the present age of Mr Gupta.

A
42 years
B
36 years
C
38 years
D
40 years
Question 849
Arithmetic

What is the smallest natural number 'x' that needs to be subtracted from 13 and 25 so that the fourth proportional of the resulting numbers is 49?

A
4
B
2
C
3
D
5
Question 850
Arithmetic

Three positive numbers are in the ratio 3:5:7. If the sum of their squares is 2075, then the middle number is:

A
20
B
25
C
30
D
15