← RRB-NTPC-UG-2025
RRB · Mathematics

Set 31 — 20 Jun 2026 (4:30 PM - 6:00 PM)

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
S's expenditure is double the difference between his savings and expenditure. What percentage of his salary is his expenditure?
a.
46%
b.
42%
c.
44%
d.
40% Correct Answer

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Q2 mcq
The following data represents the weekly wages (in ₹) of the employees Find the arithmetic mean of the weekly wages (in ₹). Weekly wages (in ₹) 900 1000 1100 1200 1300 1400 1500 Number of employees 12 12 14 13 14 11 14
a.
₹1186.25
b.
₹1204.44 Correct Answer
c.
₹1226.85
d.
₹1056.35

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Q3 mcq
The simple interest on ₹55,000 at 5.5% per annum simple rate of interest is ₹______ in 5.5 years.
a.
14,452.5
b.
15,525.5
c.
16,637.5 Correct Answer
d.
17,712.5

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Q4 mcq
A sum becomes ₹9,075 after 2 years at 10% per annum compound interest, compounded annually. What was the principal amount (in ₹)?
a.
7,500 Correct Answer
b.
8,000
c.
7,800
d.
7,650

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Q5 mcq
The sum of two positive numbers is 88 and their product is 1927. The positive difference between them is:
a.
21
b.
6 Correct Answer
c.
17
d.
26

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Q6 mcq
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.
23.34 km/hr
b.
17.54 km/hr
c.
19.32 km/hr Correct Answer
d.
20.56 km/hr

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Q7 mcq
The largest four-digit number which when divided by 6, 10 and 14 leaves remainder 3 in each case is:
a.
9889
b.
9873 Correct Answer
c.
9932
d.
9716

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Q8 mcq
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.
₹800
b.
₹840
c.
₹760
d.
₹720 Correct Answer

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Q9 mcq
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 1 and by ₹150
b.
Option 2 and by ₹160 Correct Answer
c.
Option 1 and by ₹160
d.
Option 2 and by ₹150

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Q10 mcq
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.
38 Correct Answer
b.
36
c.
42
d.
40

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Q11 mcq
A person walks 40 km at a speed of 5 km/hr, then runs 30 km at a speed of 10 km/hr. What is the ratio of walking time to running time?
a.
8 : 3
b.
3 : 8
c.
3 : 5
d.
5 : 3
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Q12 mcq
The 7-digit number 12A916B is divisible by 24. What is the maximum value of (A + B)?
a.
13
b.
16
c.
17
d.
12
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Q13 mcq
Suppose the ratio of income to expenditure is 8 : 5. If income rises by 40% and expenditure falls by 10%, and the initial expenditure is ₹10,000, what is the amount (in ₹) of saving after these changes?
a.
13,400
b.
13,300
c.
13,200
d.
13,500
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Q14 mcq
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.
3
b.
4
c.
2
d.
5
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Q15 mcq
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.
6
b.
8
c.
7
d.
5
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Q16 mcq
If a and b are two coprime numbers such that a + b = 41, then what is the maximum possible value of a × b?
a.
540
b.
420
c.
210
d.
360
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Q17 mcq
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.
All bags have the same proportion.
b.
Bag B
c.
Bag C
d.
Bag A
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Q18 mcq
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.
1,700
b.
1,500
c.
1,800
d.
1,200
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Q19 mcq
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.
30
c.
25
d.
15
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Q20 mcq
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.
12%
b.
14%
c.
13%
d.
9%
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Q21 mcq
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.
12.33 m
b.
13.33 m
c.
13.67 m
d.
12.67 m
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Q22 mcq
Simplify: 30 + [{-9 × (26 - 11 + 3)}]
a.
-135
b.
-132
c.
-133
d.
-134
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Q23 mcq
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.
36 years
b.
42 years
c.
40 years
d.
38 years
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Q24 mcq
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.
10 hours
b.
15 hours
c.
12 hours
d.
20 hours
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Q25 mcq
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.
1
b.
3
c.
4
d.
2
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Q26 mcq
Simplify: 0.375 + − 0.125
a.
0.75
b.
0.875
c.
0.5
d.
0.625
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Q27 mcq
a.
16
b.
21
c.
24
d.
12
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Q28 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q29 mcq
a.
29
b.
31
c.
27
d.
28
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Q30 mcq
A solid cylinder of radius R and height H, is melted and recast into three cylinder but half the radius of the original cylinder. What fraction of the original
a.
A.
b.
B.
c.
C.
d.
D. GA
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