← RRB-NTPC-UG-2025
RRB · Mathematics

Set 13 — 14 Jun 2026 (4:30 PM - 6:00 PM)

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
A shopkeeper fixes the marked price of an item 150% above its cost price. What percentage of discount on marked price should be allowed to gain 110%?
a.
17%
b.
16% Correct Answer
c.
15%
d.
14%

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Q2 mcq
The average of 6.5, 10.8, 20 and a is 13. The value of a is:5091
a.
13.7
b.
15.7
c.
14.7 Correct Answer
d.
16.7

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Q3 mcq
The price of an article is first increased by 30% and then decreased by 20%. Due to these successive changes, the final price becomes ₹40 more than the original price. What is the original price of the article?
a.
₹1,000 Correct Answer
b.
₹900
c.
₹1,100
d.
₹1,200

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Q4 mcq
Find the greatest number that divides 75, 105 and 150 exactly.
a.
15 Correct Answer
b.
5
c.
10
d.
25

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Q5 mcq
At what annual interest rate will a principal amount of ₹1,000 become ₹1,728 in a period of 1 year and 6 months, assuming that the interest is compounded semi-annually?
a.
35%
b.
40% Correct Answer
c.
41%
d.
32%

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Q6 mcq
Two articles are sold at the same selling price. On one article, the trader makes a 25% profit, and on the other, he incurs a 25% loss. What is the overall percentage loss?
a.
6.25% Correct Answer
b.
5.25%
c.
8.25%
d.
7.25%

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Q7 mcq
If the fourth proportional to 5, 15, and 25 is k, then find k.
a.
k = 60
b.
k = 125
c.
k = 75 Correct Answer
d.
k = 90

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Q8 mcq
The sum of two numbers is 54. If three times the smaller number exceeds twice the larger number by 6, find the difference between the two numbers.
a.
7.6
b.
6.6
c.
8.4 Correct Answer
d.
7.2

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Q9 mcq
A certain sum amounts to ₹5,200 in 2 years and ₹6,400 in 4 years at simple interest. What is the rate of interest per annum?
a.
10 percent
b.
18 percent
c.
12 percent
d.
15 percent Correct Answer

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Q10 mcq
Two friends, P and Q, started a business by investing ₹2,300 and ₹4,600, respectively. At the end of one year, the business earned a total profit of ₹37,272. What is the share (in ₹) of P in the profit?
a.
12,424 Correct Answer
b.
12,274
c.
12,524
d.
12,374

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Q11 mcq
In a triangle, the ratio of three angles is 3 : 3 : 4. Find the measure of the largest angle.
a.
84°
b.
72°
c.
62°
d.
40°
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Q12 mcq
Three positive integers a, b, and c satisfy the following conditions: (i) a and b are coprime, (ii) b and c are coprime, (iii) a and c are not coprime, (iv) abc = 360. The minimum possible value of a + b + c is:
a.
95
b.
23
c.
27
d.
33
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Q13 mcq
A merchant marks his products 30% above the cost price and provides a 10% discount on the marked price. What percent profit does he earn?
a.
15%
b.
17%
c.
18%
d.
16%
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Q14 mcq
A team of 3 workers, P, Q, and R, is assigned to paint a large wall. P alone can finish the work in 14 days, Q alone in 21 days, and R alone in 42 days. If they start together but P leaves after 4 days, and the remaining work is completed by Q and R together, in how many total days is the wall completely painted?
a.
9 days
b.
10 days
c.
11 days
d.
12 days
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Q15 mcq
The largest four-digit number which when divided by 12, 8 and 11 leaves the remainder 3 in each case, is:
a.
9928
b.
9535
c.
9771
d.
9821
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Q16 mcq
Two trains are moving in opposite directions at speeds of 8 m/s and 10 m/s. If they completely pass each other in 8 seconds, find the combined length of both trains.
a.
150 meters
b.
152 meters
c.
144 meters
d.
156 meters
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Q17 mcq
A car travels from Gwalior to Jhansi at 60 km/hr and returns at 80 km/hr. If the total travel time is 3.5 hours, what is the one-way distance?
a.
120 km
b.
110 km
c.
125 km
d.
112 km
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Q18 mcq
The sum of two positive numbers is 40 and their product is 175. The positive difference between them is:
a.
36
b.
30
c.
32
d.
34
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Q19 mcq
The sum of the ages of two siblings is 28 years and the difference of their ages is 8 years. What is the present age of the elder sibling?
a.
14 years
b.
16 years
c.
20 years
d.
18 years
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Q20 mcq
A product with marked price ₹3,000 is sold with successive discounts of 15% and 25%. What is the final selling price after these two discounts?
a.
₹1,936.50
b.
₹1,912.50
c.
₹1,872
d.
₹1,896
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Q21 mcq
The average of 8 numbers is 45. If each number is decreased by 3, what will the new average be?4634
a.
39
b.
8
c.
45
d.
42
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Q22 mcq
Find the third proportional to 240 and 120.
a.
50
b.
80
c.
40
d.
60
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Q23 mcq
If 45% of a number exceeds 20% of it by 30, then the number is:
a.
100
b.
120
c.
160
d.
140
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Q24 mcq
Four identical cubes are placed one after another and the length of the cuboid so formed is 256 cm. Find the volume of a single cube.
a.
262144 cm3
b.
262154 cm3
c.
362144 cm3
d.
265144 cm3
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Q25 mcq
Which of the following pairs of numbers is co-prime? A) (15, 25) B) (14, 35) C) (9, 28) D) (21, 49)
a.
B
b.
C
c.
D
d.
A
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Q26 mcq
A and B can do a piece of work in 12 days and 24 days, respectively. Both work for 2 days and then A leaves. How long (in days) will B take to complete the remaining work?
a.
19
b.
17
c.
20
d.
18
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Q27 mcq
A ladder of length 8 m is placed against a vertical wall, making an angle
a.
A.
b.
B.
c.
C.
d.
D.
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Q28 mcq
The sides of a rectangular field are 77 m and 98 m long. Its area is equal circular field? (Take )1256
a.
304
b.
308
c.
330
d.
353
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Q29 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q30 mcq
a.
9
b.
1
c.
6
d.
3 of 60° with the ground. How high does the ladder reach up the wall? to the area of a circular field. What is the perimeter (in m) of the GA
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