← RRB-NTPC-UG-2025
RRB · Mathematics

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

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
A and B can do a piece of work in 12 days and 30 days, respectively. Both work for 4 days and then A leaves. How long (in days) will B take to complete the remaining work?
a.
17
b.
15
c.
16 Correct Answer
d.
18

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Q2 mcq
A spherical tank has a diameter of 28 cm. What is the total surface area of the tank? (Use π = 22/7)
a.
2460 cm²
b.
2458 cm²
c.
2464 cm² Correct Answer
d.
2456 cm²

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Q3 mcq
Evaluate 23 3 + (-19) 3 + (-4) 3
a.
5089
b.
5244 Correct Answer
c.
4998
d.
4958

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Q4 mcq
If 40% of a number exceeds 25% of it by 42, then the number is: 5704
a.
300
b.
320
c.
260
d.
280 Correct Answer

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Q5 mcq
A trader marks his goods such that even after allowing a discount of 25%, he makes a profit of 10%. If he gives only 10% discount, then find the profit percentage.
a.
30%
b.
35%
c.
32% Correct Answer
d.
28%

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Q6 mcq
Eduardo, Abraham and Xavier can finish a certain piece of work in 6, 34 and 36 days, respectively. All three of them started the work together. Eduardo left the work after 2 days and Abraham left just 3 days before the work was completed. Find the total number of days taken for the work to be completed.
a.
15.2
b.
11.7
c.
14.6
d.
13.2 Correct Answer

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Q7 mcq
Patna Express leaves Delhi at 10:00 AM and reaches Patna at 7:00 PM the same day. Delhi Express leaves Patna at 2:00 PM and reaches Delhi at 1:00 AM on the next day. Both trains travel on the same route in opposite directions. At what time do they meet?
a.
04:45PM Correct Answer
b.
04:15PM
c.
04:30PM
d.
03:45PM

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Q8 mcq
What is the mode of the following data? 43, 40, 41, 53, 50, 41, 44, 45, 43, 46, 48, 46, 51, 55, 52, 42, 46, 45
a.
46 Correct Answer
b.
41
c.
43
d.
40

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Q9 mcq
The difference between the measure of an interior angle and an exterior angle of a regular polygon is 100°. What is the number of sides of the polygon?
a.
9 Correct Answer
b.
10
c.
12
d.
8

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Q10 mcq
The cost of five tables and seven chairs is ₹7040. If a table costs ₹400 more than a chair, find the cost of a table.
a.
₹820 Correct Answer
b.
₹700
c.
₹800
d.
₹420

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Q11 mcq
The largest four-digit number which when divided by 11, 7 and 14 leaves the remainder 2 in each case, is:
a.
9972
b.
9901
c.
9858
d.
9435
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Q12 mcq
What smallest positive number should be subtracted from 3 and 5 so that 8 is the third proportional to them?
a.
-2
b.
2
c.
-1
d.
1
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Q13 mcq
An article is sold at a profit of 21%. If the cost price is increased by ₹50 and the selling price is reduced by ₹69, then the profit would be 13.6%. What is the original cost price (in ₹) of the article?
a.
1,500
b.
1,400
c.
1,700
d.
2,000
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Q14 mcq
Find the smallest number which when divided by 9, 12 and 15 leaves a remainder 3 in each case.
a.
123
b.
363
c.
183
d.
723
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Q15 mcq
The median of the given distribution is 28.5. Find the missing frequency x. Class 0-10 10-20 20-30 30-40 40-50 50-60 Frequency 5 x 20 15 7 5
a.
5
b.
3
c.
8
d.
10
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Q16 mcq
A company has two departments, 'A' and 'B', with employees in the ratio 5:7, respectively. If 28 employees are transferred from department 'B' to 'A', the ratio becomes 1:1. How many employees does each department have originally?
a.
140 in A, 84 in B
b.
140 in A, 196 in B
c.
150 in A, 84 in B
d.
140 in A, 96 in B
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Q17 mcq
A retailer has fixed the price of an article at 20% above the cost price. If he offers a discount of ₹2 for a purchase of ₹30, what is his gain or loss percentage?
a.
16% gain
b.
14% gain
c.
11% loss
d.
12% gain
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Q18 mcq
The marked price of a cooker is the same at four shops I, II, III and IV. Shop I allows two successive discounts of 87% and 37%, shop II allows successive discounts of 81% and 37%, shop III allows successive discounts of 57% and 54% and shop IV allows successive discounts of 91%, 25%, and 59% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
a.
II
b.
IV
c.
III
d.
I
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Q19 mcq
Which formula correctly calculates simple interest when the principal, rate, and time are known?
a.
Simple Interest = Principal × Rate / Time
b.
Simple Interest = (Principal × Rate × Time) / 100
c.
Simple Interest = Principal + Rate + Time
d.
Simple Interest = Principal × Time / Rate
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Q20 mcq
Ramu is 8 years older than Keeran. Seven years ago, Ramu's age was three times Keeran's age. Find the present age of Ramu.
a.
19 years
b.
16 years
c.
25 years
d.
23 years
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Q21 mcq
By selling lemons at 5 for a rupee, a man loses 34%. To gain 10% how many must he sell for a rupee?
a.
2
b.
3
c.
4
d.
5
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Q22 mcq
A water pipe is in the shape of a hollow cylinder with an outer radius of 10 cm and an inner radius of 8 cm. If the length of the pipe is 2 m, what is the total surface area (including both ends and the inner and outer curved surfaces) of the pipe in square centimeters? (Use π = 22/7 and rounded off to the nearest integer)
a.
25124 cm2
b.
22848 cm2
c.
18848 cm2
d.
22855 cm2
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Q23 mcq
A and B invest ₹12,000 and ₹8,000, respectively, in a business. If the total profit is ₹10,000, what is A’s share of profit?
a.
₹6,000
b.
₹5,000
c.
₹7,000
d.
₹4,000
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Q24 mcq
Venu invested a certain sum of money at 10% per annum. After 2 years, he received ₹136.50 as compound interest, compounded annually. Find the corresponding simple interest (in ₹) for 2 years at the same rate.
a.
120
b.
115
c.
130
d.
125
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Q25 mcq
A man walks 6 km at a speed of 6 km/h and then runs 18 km at a speed of 9 km/h. What is his average speed (in km/h) for the entire distance?
a.
9
b.
10
c.
8
d.
7
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Q26 mcq
The simplified value of the expression is ____.
a.
8
b.
4
c.
1
d.
2
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Q27 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q28 mcq
a.
2.05
b.
2.5
c.
2.0
d.
1.95
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Q29 mcq
Given that tan θ = 2 and θ is in the first quadrant, what is the value of sec
a.
A.
b.
B.
c.
C.
d.
D.
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Q30 mcq
a.
0.05
b.
1.05
c.
1.5
d.
0.5 GA
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