RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 151
Arithmetic

Yogesh invested a certain sum of money at 10% per annum. After 2 years, he received ₹147 as compound interest, compounded annually. Find the corresponding simple interest (in ₹) for 2 years at the same rate.

A
140
B
130
C
135
D
125
Question 152
Arithmetic

The enrolment of students in an institution increased by 10% in April compared to the number of students in March and then decreased by 5%, resulting in 1045 students in June. Find the number of students in March.

A
1050
B
900
C
1085
D
1000
Question 153
Arithmetic

Evaluate \(20^3 + (-9)^3 + (-11)^3\)

A
5940
B
6015
C
5934
D
5992
Question 154
Arithmetic

The difference between a discount of 35% and two successive discounts of 20% and 15% on a certain marked price is ₹70. Find the marked price (rounded off to the nearest integer).

A
₹2,433
B
₹2,333
C
₹2,467
D
₹2,367
Question 155
Arithmetic

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

A
8
B
4
C
6
D
2
Question 156
Arithmetic

If 9 workers can build a wall in 12 days, how many days will 6 workers take to build the same wall, assuming they work at the same rate?

A
17
B
15
C
16
D
18
Question 157
Arithmetic

Pooja gets a discount of 17% on a dryer whose marked price is ₹2,000. Since she pays by credit card, she gets an additional 10% discount. How much does she pay (in ₹)?

A
1,495
B
1,493
C
1,491
D
1,494
Question 158
Arithmetic

A park is designed in the shape of a right-angled triangle, where the two shorter sides measure 13 m and 84 m. A circular track with a uniform width of 2 m is constructed such that its outer boundary coincides with the circumcircle of the triangular park. Determine the perimeter of the inner boundary of this circular track.

A
89 \(\pi\) m
B
85 \(\pi\) m
C
81 \(\pi\) m
D
82 \(\pi\) m
Question 159
Arithmetic

A sum of ₹25,000 is invested at 2% per annum compounded annually. Find the compound interest after 2 years.

A
₹1,130
B
₹1,230
C
₹1,010
D
₹1,050
Question 160
Arithmetic

If the third proportional to 4 and 6 is used as the base of a rectangle, and the first number (4) is its height, what is the area of the rectangle?

A
24 unit 2
B
36 unit 2
C
30 unit 2
D
48 unit 2
Question 161
Arithmetic

A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 35% and 4% on any number of toys bought. (B) Successive discounts of 45%, 46% and 50% on any number of toys bought. (C) 15% discount on the first 3 toys and 5% discount on each toy thereon. (D) 2 toys free of cost on buying 9 toys. A customer wants to buy 9 toys. Which of the above schemes is the least beneficial to her?

A
B
B
D
C
A
D
C
Question 162
Arithmetic

Find the measure of the unknown interior angle in an irregular hexagon with angles  140°, 80°, 145°, 155°, and 100°.

A
105°
B
110°
C
100°
D
120°
Question 163
Arithmetic

Which of the following ratios is equal to \(3:2\) ?

A
\(35:25\)
B
\(45:20\)
C
\(60:45\)
D
\(120:80\)
Question 164
Arithmetic

If the interest on a sum of ₹y at 4% per annum compounded annually for 2 years is ₹765, then the total amount payable at the end of the two-year period will be _________.

A
₹10,115
B
₹10,210
C
₹10,140
D
₹10,351
Question 165
Arithmetic

A pair of shoes is marked at ₹2800 and is subject to a trade discount of 18%. Under a special offer, a customer buys 5 pairs at the discounted price and gets an additional 2 pairs at 50% off the discounted price. Find the total cost to the customer for 7 pairs of shoes.

A
₹ 13,776
B
₹ 13,876
C
₹ 13,676
D
₹ 13,667
Question 166
Arithmetic

Three numbers are in the ratio \(3:7:2\) , and their LCM is 8820. Their HCF is:

A
240
B
208
C
210
D
235
Question 167
Arithmetic

Pipes A and B together can fill a cistern in 10 hours. Pipes B and C together can fill the same cistern in 20 hours, and pipes C and A together can fill it in 12 hours. Find the time taken by pipe B alone to fill the cistern.

A
32 hours
B
25 hours
C
28 hours
D
30 hours
Question 168
Arithmetic

A spherical water tank has an internal diameter of 10 meters. If the tank is coated with a material that costs ₹5 per square meter, what is the total cost to coat the entire internal surface? (Use π = 3.14)

A
₹785
B
₹314
C
₹1570
D
₹1257
Question 169
Arithmetic

The average monthly income of six employees in an office is ₹24,000. When a new employee joins the office, the average income of all seven employees becomes ₹25,500. What is the monthly income of the new employee?

A
₹34,000
B
₹33,000
C
₹33,500
D
₹34,500
Question 170
Arithmetic

In a college, the ratio of science to arts students is different for each of its three batches. In Batch A, the ratio is \(5:8\) , in Batch B it is \(7:11\) , and in Batch C it is \(3:5\) . Which batch has the highest proportion of science students?

A
Batch B
B
Batch C
C
All have the same proportion
D
Batch A
Question 171
Arithmetic

If the third proportional to 4 and 20 is m and the third proportional to m and 50 is n, what is the value of n?

A
24
B
20
C
28
D
25
Question 172
Arithmetic

In \(\triangle XYZ\) , \(XY = XZ\) and \(\angle X = 40°\) , what is the measure of \(\angle Z\) ?

A
\(80°\)
B
\(70°\)
C
\(40°\)
D
\(60°\)
Question 173
Arithmetic

The mean of the following data is 12.5. Find the missing frequency p. Data Values (x): 10, 15 Frequency (f): 5, p

A
6
B
5
C
4
D
3
Question 174
Arithmetic

A delivery van covers the first 100 km at 50 km/h, the next 150 km at 60 km/h, and the last 50 km at 40 km/h. What is the average speed for the entire journey (correct to two places of decimal)?

A
50.05 km/h
B
52.17 km/h
C
48.29 km/h
D
54.54 km/h
Question 175
Arithmetic

The population of a town increases by 10% in the year 2015 and decreases by 15% in the year 2016. If the population of the town at the end of the year 2016 is 1,87,000, find the population of the town in the beginning of the year 2015.

A
2,00,000
B
2,10,000
C
2,15,000
D
1,95,000