← RRB-NTPC-UG-2025
RRB · Mathematics

Set 26 — 18 Jun 2026 (9:00 AM - 10:30 AM)

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
A dishonest shopkeeper claims to sell 1 kg of rice at the cost price per kg. He actually uses a weight of 1200 g while purchasing rice, and a weight of 840 g while selling rice. What is the overall percentage profit made by the shopkeeper? (Round off the result to two decimal places.)
a.
42.86% Correct Answer
b.
41.78%
c.
40.33%
d.
43.44%

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Q2 mcq
Five years ago, Rahul was twice as old as his brother. If Rahul is 10 years older than his brother, what is Rahul’s present age?
a.
20 years
b.
30 years
c.
15 years
d.
25 years Correct Answer

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Q3 mcq
Two taps can fill a cistern in 4 hours and 19 hours, respectively. A third tap can empty it in 19 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 Correct Answer
b.
3
c.
2
d.
4

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Q4 mcq
Which of the expressions given below has the same value as that of cos 2 (θ) + sin 2 (θ)?
a.
1 + tan²(θ) + (1- sec²(θ)) Correct Answer
b.
1 + tan²(θ) - (1- sec²(θ))
c.
cosec²(θ) + cot²(θ)
d.
cosec²(θ) + sec²(θ)

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Q5 mcq
What least value must be given to n so that the number 5135n2 becomes divisible by 9?
a.
3
b.
5
c.
4
d.
2 Correct Answer

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Q6 mcq
Three numbers are in the ratio 3 : 2 : 13, and their LCM is 2574. Their HCF is:8631
a.
76
b.
43
c.
23
d.
33 Correct Answer

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Q7 mcq
A person spends 75% of his income. If his income increases by 20% and his expenditure increases by 10%, what is the percentage change in his savings?
a.
50% increase Correct Answer
b.
40% increase
c.
60% increase
d.
25% increase

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Q8 mcq
A daily commuter usually reaches his office on time by driving at a speed of 40 km/hr. One day, due to traffic, he drives at 30 km/hr and reaches 20 minutes late. What is the distance to his office?
a.
50 km
b.
30 km
c.
40 km Correct Answer
d.
60 km

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Q9 mcq
What is the mode of the following data? 53, 46, 55, 53, 40, 48, 53, 47, 41, 54, 43, 55, 54, 51, 43, 42, 44, 47
a.
46
b.
48
c.
55
d.
53 Correct Answer

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Q10 mcq
The price of a book is increased from ₹200 to ₹220. What is the percentage increase in the price?
a.
12%
b.
8%
c.
5%
d.
10% Correct Answer

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Q11 mcq
The sum of two positive numbers is 26 and their product is 144. The positive difference between them is:
a.
13
b.
5
c.
16
d.
10
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Q12 mcq
The L.C.M. of two numbers is 210 and their H.C.F. is 3. If the first number is divided by 3, the quotient is 7 and the remainder is 0. The second number is:
a.
25
b.
60
c.
30
d.
35
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Q13 mcq
The price of a laptop was initially $1,200. During a sale, the price was first reduced by 20%, and then an additional discount of 15% was applied to the new price. What is the final price of the laptop?
a.
$899
b.
$816
c.
$799
d.
$780
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Q14 mcq
Three classes have 60, 40, and 50 students respectively. Their average marks are 65, 72, and 60. What is the average mark of all 150 students combined?
a.
65.2
b.
60
c.
67
d.
70
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Q15 mcq
If x is the fourth proportional of 37, 25 and 888, what is the value of x?
a.
600
b.
500
c.
800
d.
400
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Q16 mcq
A sum of money is invested at a simple interest rate of 8% per annum. After 3 years, the simple interest earned is ₹1,920. What is the principal invested?
a.
₹9,000
b.
₹7,500
c.
₹8,000
d.
₹6,000
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Q17 mcq
Amit and Raghav invest in a business in the ratio 5 : 7. If the total profit is ₹48,000, what is Raghav’s share?
a.
₹30,000
b.
₹32,000
c.
₹28,000
d.
₹26,000
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Q18 mcq
A cylindrical pipe has an external radius of 8 cm and an internal radius of 7 cm. If its length is 20 cm, what is the volume of material used in the pipe? (Use π = 3.14)
a.
320 cubic cm
b.
201 cubic cm
c.
942 cubic cm
d.
192 cubic cm
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Q19 mcq
The difference between two numbers is 8. If twice the larger number is 4 more than three times the smaller number, what is the larger number?
a.
16
b.
14
c.
20
d.
18
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Q20 mcq
A pen is priced at ₹47. A scheme offers “Buy 4, Get 1 at 50% off”. What is the effective price per pen?
a.
₹39.30
b.
₹40.30
c.
₹42.30
d.
₹38.30
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Q21 mcq
A train A passes a fixed pole in 24 seconds. The same train completely crosses another train B of length 150 m coming from the opposite direction in 20 seconds. Train B’s speed is 54 km/h. Find the length and the speed of train A.
a.
900 m and 135 km/h
b.
500 m and 135 km/h
c.
600 m and 135 km/h
d.
900 m and 134 km/h
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Q22 mcq
The 7-digit number 77A444B is divisible by 24. What is the maximum value of (A + B)?
a.
12
b.
13
c.
16
d.
15
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Q23 mcq
What sum (in ₹) will earn a simple interest of ₹1,320 in 4 years at 12% per year rate of interest?
a.
1,375
b.
633.6
c.
5,500
d.
2,750
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Q24 mcq
In an educational institute, the ratio of male students to female students is 4 : 3. The ratio of the same female students to teaching staff is 8 : 1. Find the ratio of total students (male + female) to teaching staff.
a.
66 : 7
b.
21 : 2
c.
27 : 1
d.
56 : 3
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Q25 mcq
Two pipes, A and B, can fill a tank in 20 minutes and 30 minutes, respectively. A waste pipe C can empty it in 60 minutes. All three are opened together. After 10 minutes, pipe C is closed. How much total time will it take to fill the tank?
a.
17 minutes
b.
15 minutes
c.
12 minutes
d.
14 minutes
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Q26 mcq
A shopkeeper sells an article for ₹1,200 at a 20% profit. At what price (in ₹) should he sell the article to incur a loss of 10%?
a.
₹950
b.
₹875
c.
₹900
d.
₹980
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Q27 mcq
a.
3000
b.
9000
c.
900
d.
1000
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Q28 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q29 mcq
a.
4
b.
6
c.
3
d.
5
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Q30 mcq
a.
A.
b.
B.
c.
C.
d.
D. GA
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