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
140B
130C
135D
125Question 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
1050B
900C
1085D
1000Question 153
Arithmetic
Evaluate \(20^3 + (-9)^3 + (-11)^3\)
A
5940B
6015C
5934D
5992Question 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
₹2,433B
₹2,333C
₹2,467D
₹2,367Question 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
8B
4C
6D
2Question 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
17B
15C
16D
18Question 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
1,495B
1,493C
1,491D
1,494Question 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 \(\pi\) mB
85 \(\pi\) mC
81 \(\pi\) mD
82 \(\pi\) mQuestion 159
Arithmetic
A sum of ₹25,000 is invested at 2% per annum compounded annually. Find the compound interest after 2 years.
A
₹1,130B
₹1,230C
₹1,010D
₹1,050Question 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 2B
36 unit 2C
30 unit 2D
48 unit 2Question 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
BB
DC
AD
CQuestion 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
₹10,115B
₹10,210C
₹10,140D
₹10,351Question 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
₹ 13,776B
₹ 13,876C
₹ 13,676D
₹ 13,667Question 166
Arithmetic
Three numbers are in the ratio \(3:7:2\) , and their LCM is 8820. Their HCF is:
A
240B
208C
210D
235Question 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 hoursB
25 hoursC
28 hoursD
30 hoursQuestion 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
₹785B
₹314C
₹1570D
₹1257Question 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
₹34,000B
₹33,000C
₹33,500D
₹34,500Question 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 BB
Batch CC
All have the same proportionD
Batch AQuestion 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
24B
20C
28D
25Question 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
6B
5C
4D
3Question 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/hB
52.17 km/hC
48.29 km/hD
54.54 km/hQuestion 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
2,00,000B
2,10,000C
2,15,000D
1,95,000