← RRB-NTPC-UG-2025
RRB · Mathematics

Set 21 — 17 Jun 2026 (12:45 PM - 2:15 PM)

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
A cyclist travels from point A to B and back from B to A along the same route. On the onward journey, he covers one-third of the distance at 12 km/hr and the remaining distance at 18 km/hr. On the return journey, he covers half of the distance at 9 km/hr and the remaining distance at 18 km/hr. Find the average speed (in km/hr) for the entire round trip.
a.
15 km/hr
b.
13.5 km/hr Correct Answer
c.
11.5 km/hr
d.
9 km/hr

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Q2 mcq
Girish scored 448 marks in an examination and was 81 marks short of 46% of maximum marks. In the same examination, his friend scored 805 marks. What is the percentage of marks scored by his friend?
a.
71%
b.
72%
c.
67%
d.
70% Correct Answer

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Q3 mcq
Evaluate 23 3 + (-15) 3 + (-8) 3
a.
8050
b.
8133
c.
8280 Correct Answer
d.
8059

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Q4 mcq
What is the compound interest on ₹3,000 for 2 years at 20% per annum, interest compounded annually?
a.
₹1,300
b.
₹1,320 Correct Answer
c.
₹1,200
d.
₹1,440

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Q5 mcq
A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 5% and 21% on any number of toys bought. (B) Successive discounts of 38%, 33% and 21% on any number of toys bought. (C) 8% discount on the first 6 toys and 27% discount on each toy thereon. (D) 3 toys free of cost on buying 7 toys. A customer wants to buy 7 toys. Which of the above schemes is the least beneficial to her?
a.
B
b.
A
c.
C Correct Answer
d.
D

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Q6 mcq
A school drum beats every 12 minutes, and the school bell rings every 18 minutes. If both sounded together at 9:00 AM, how many times will they sound together again before 11:00 AM?
a.
5
b.
4
c.
6
d.
3 Correct Answer

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Q7 mcq
Which of the following numbers is divisible by 7?
a.
24019
b.
23452
c.
24017 Correct Answer
d.
21234

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Q8 mcq
A cylindrical water tank has a radius of 7 cm and a height of 10 cm. What is its volume? (Use π = 22/7)
a.
2200 cm3
b.
1540 cm3 Correct Answer
c.
700 cm3
d.
440 cm3

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Q9 mcq
Two trains of lengths 120 m and 180 m are moving in the same direction at speeds of 60 km/h and 40 km/h, respectively. Find the time taken by the trains to cross each other.
a.
54 seconds Correct Answer
b.
59.3 seconds
c.
67.9 seconds
d.
76.9 seconds

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Q10 mcq
₹2,288 is divided among Pankaj, Meera, and Ashok in such a way that if ₹39, ₹47, and ₹40 are deducted from their respective shares, they have money in the ratio 17:15:14. Find Meera’s share after deduction.
a.
₹805
b.
₹705 Correct Answer
c.
₹605
d.
₹855

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Q11 mcq
A prize of ₹8,400 is to be shared between A and B in the ratio 3:5. Find B’s share.
a.
₹5,150
b.
₹5,000
c.
₹5,200
d.
₹5,250
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Q12 mcq
A wholesaler offers two options for a sofa set marked at ₹80,000: either a flat discount of 30% or two successive discounts of 20% and 12%. What is the difference in the selling price between the two options?
a.
₹320
b.
₹240
c.
₹400
d.
₹480
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Q13 mcq
If one angle of an isosceles triangle is 110°, what are the measures of the other angles of the triangle?
a.
25° and 35°
b.
25° and 25°
c.
25° and 45°
d.
35° and 35°
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Q14 mcq
The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 27 more than the original number. What is the original number?
a.
65
b.
47
c.
56
d.
38
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Q15 mcq
A sum of money becomes ₹7,865 after 2 years and ₹8,651.50 after 3 years on compound interest at the same rate, compounded annually. Find the sum.
a.
₹6,800
b.
₹7,200
c.
₹6,500
d.
₹7,000
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Q16 mcq
A person sells two items: one at a profit of 20% and another at a loss of 10%. If both items cost ₹100 each, what is the overall gain or loss percentage?
a.
5% gain
b.
5% loss
c.
10% loss
d.
10% gain
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Q17 mcq
The largest four-digit number which when divided by 14, 15 and 8 leaves remainder 4 in each case is:
a.
9196
b.
9686
c.
9199
d.
9244
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Q18 mcq
If 2, x, and 18 are in continued proportion, find the positive value of x.
a.
6
b.
9
c.
12
d.
4
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Q19 mcq
The average of 6.5, 10.8, 20 and a is 15. The value of a is:5089
a.
21.7
b.
24.7
c.
22.7
d.
23.7
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Q20 mcq
A and B can do a piece of work in 12 days and 12 days, respectively. Both work for 3 days and then A leaves. How long (in days) will B take to complete the remaining work?
a.
6
b.
5
c.
8
d.
7
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Q21 mcq
The following data shows the number of minutes taken by 15 students to complete a mathematics test: 42, 38, 55, 47, 50, 44, 60, 39, 48, 52, 45, 41, 49, 46, 53. Find the median time taken by the students.
a.
47 minutes
b.
47.5 minutes
c.
48 minutes
d.
46 minutes
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Q22 mcq
A town had a population of 5,000 at the beginning of a year. During the first year, the population decreased by 10%. In the following year, the population increased by 20%. What was the population of the town at the end of two years?
a.
5400
b.
5800
c.
5500
d.
5200
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Q23 mcq
The present age of a father is thrice that of his son. After 15 years, the age of the father will be twice that of his son. What is the present age ( in years) of the father?
a.
45
b.
52
c.
42
d.
48
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Q24 mcq
During a sale, 50% of the goods are sold at 12% profit, 40% of the remaining goods are sold at 16% profit and the still remaining goods are sold at a loss of 19%. If there is an overall profit of x%, then what is the value of x?
a.
2.5
b.
5.5
c.
3.5
d.
4.5
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Q25 mcq
A spherical tank has a radius of 2 meters. If the tank is filled with water to 80% of its total volume, what is the volume of water in the tank (rounded to the nearest cubic meter)?
a.
33
b.
21
c.
27
d.
38
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Q26 mcq
a.
3.4
b.
3.6
c.
4
d.
3.2
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Q27 mcq
a.
1.48
b.
2.95
c.
-1.48
d.
-2.95
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Q28 mcq
a.
20
b.
30
c.
35
d.
25
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Q29 mcq
Two poles of heights 10 m and 30 m stand vertically on level ground at a the line joining their feet, the angles of elevation to their tops of the taller between the poles is:
a.
A.
b.
B.
c.
C.
d.
D.
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Q30 mcq
d.
GA
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