← RRB-NTPC-UG-2025
RRB · Mathematics

Set 18 — 16 Jun 2026 (12:45 PM - 2:15 PM)

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
15 men and 19 women can complete a piece of work in 8 days, and 9 men and 4 women can complete the same work in 14 days. The work of how many women is equivalent to that of one man?
a.
18
b.
15
c.
16 Correct Answer
d.
17

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Q2 mcq
Three numbers are in the ratio of 19 : 7 : 13, and their LCM is 8645. Their HCF is:
a.
30
b.
15
c.
25
d.
5 Correct Answer

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Q3 mcq
A car travels the first 60 km at 45 km/hr and the next 90 km at 60 km/hr. What is the average speed for the entire journey? (Round off your answer to two decimal places.)
a.
54.56 km/hr
b.
53.84 km/hr
c.
52.94 km/hr Correct Answer
d.
50.78 km/hr

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Q4 mcq
Two numbers differ by 8. If five times the smaller number is subtracted from twice the larger number, the result is 13. What is the larger number?
a.
10
b.
8
c.
9 Correct Answer
d.
12

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Q5 mcq
The sides of a triangle are 75 cm, 21 cm, and 72 cm. What is the length (in cm) of its altitude corresponding to the side with a length of 21 cm?
a.
72 Correct Answer
b.
65
c.
90
d.
107

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Q6 mcq
The average age of 7 students in a class is 17 years. When a new student join the class, the average age of the class becomes 18 years. Find the age of the new student.
a.
25 years Correct Answer
b.
20 years
c.
23 years
d.
26 years

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Q7 mcq
If the sum of the ages of a father and son is 56 years and the father is 24 years older than his son, what is the son's age (in years)?
a.
32
b.
16 Correct Answer
c.
24
d.
20

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Q8 mcq
If 45% of a number exceeds 20% of it by 36, then the number is:
a.
144 Correct Answer
b.
164
c.
184
d.
124

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Q9 mcq
A military camp has provisions for 360 soldiers for 50 days. After 10 days, 120 more soldiers arrive at the camp. Assuming the daily consumption per soldier remains constant, for how many more days will the remaining provisions last?
a.
25 days
b.
30 days Correct Answer
c.
32 days
d.
28 days

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Q10 mcq
A shopkeeper buys sugar at ₹48 per kg. While selling, he uses a faulty weighing scale that gives only 960 g instead of 1 kg. In addition, he marks the selling price at a profit of 20% on the cost price and then offers a discount of 10% on the marked price. Find the overall percentage profit or loss made by the shopkeeper.
a.
10% profit
b.
11.4% profit
c.
12.5% profit Correct Answer
d.
4.5% loss

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Q11 mcq
If the interest on a sum of ₹y at 2% per annum compounded annually for 2 years is ₹404, then the total amount payable at the end of the two-year period will be _________.
a.
₹10,404
b.
₹10,704
c.
₹10,504
d.
₹10,604
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Q12 mcq
The sum of two positive numbers is 36 and their product is 180. The positive difference between them is:
a.
34
b.
24
c.
37
d.
32
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Q13 mcq
Two trains are running on parallel tracks in the same direction. Train A is 90 m long and moves at 54 km/h. Train B is 75 m long and moves at 36 km/h. How much time will Train A take to completely overtake Train B?
a.
22 seconds
b.
25 seconds
c.
33 seconds
d.
30 seconds
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Q14 mcq
Find the smallest natural number x, for which 2x + 1 is not a prime number.
a.
4
b.
5
c.
3
d.
2
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Q15 mcq
What is the smallest 5-digit number that is exactly divisible by 12, 15 and 20?
a.
10080
b.
10320
c.
10200
d.
10020
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Q16 mcq
Two taps can fill a cistern in 4 hours and 9 hours, respectively. A third tap can empty it in 9 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?
a.
3
b.
2
c.
4
d.
1
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Q17 mcq
A grocery store gives a Buy 5, Get 2 Free offer. The price of each item is ₹300. A customer needs a total of 21 items and procures the items under this scheme. What is the effective cost per item? (Round off your answer to two decimal places.)
a.
₹114.29
b.
₹241.29
c.
₹214.45
d.
₹214.29
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Q18 mcq
A recipe uses 2 cups of rice for every 3 cups of water. If you want to cook using 6 cups of rice, how much water will you need?
a.
3 cups
b.
6 cups
c.
7 cups
d.
9 cups
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Q19 mcq
A, B and C started a business, investing amounts of ₹1,960, ₹1,660, and ₹1,130 respectively. If B's share in the profit earned by them is ₹968, what is the difference in the profit (in ₹) earned by A and C?
a.
₹487
b.
₹482
c.
₹486
d.
₹484
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Q20 mcq
What is the mean proportional between 0.0009 and 0.25?
a.
0.015
b.
0.016
c.
0.16
d.
0.15
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Q21 mcq
Chetan’s salary is ₹17,000 per month. He spends ₹4,000 on house rent, ₹2,500 on bills, and the rest of the amount is his monthly savings. Find his savings (in ₹) in a year, if in the month of his birthday, he spent his complete monthly savings for a birthday celebration.
a.
1,15,500
b.
1,26,000
c.
94,500
d.
1,05,000
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Q22 mcq
What will be the total amount payable after 3 years on a principal of ₹4,000 at 5% per annum, compounded annually?
a.
₹4,630.50
b.
₹4,050.50
c.
₹4,550.50
d.
₹4,600.50
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Q23 mcq
A trader buys 20 kg of rice for ₹1,000. He sells the rice at the rate of ₹60 per kg. What is the percentage profit made by the trader?
a.
15%
b.
18%
c.
20%
d.
22%
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Q24 mcq
Find the volume of a cylinder whose height is 21 cm and its radius is height of 14 cm. (Use π = 22/7)
a.
171660 cm3
b.
171656 cm3
c.
161666 cm3
d.
171666 cm3
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Q25 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q26 mcq
a.
2
b.
4
c.
1
d.
3
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Q27 mcq
A hollow spherical shell is made of a metal of density 10 g/cm 3 . Its internal weight (in kg) of the shell?
a.
1.92
b.
1.98
c.
2.64
d.
2.24 of the radius of another cylinder with a volume of 317900 cm 3 and a and external radius are 1 cm and 4 cm, respectively. What is the
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Q28 mcq
a.
95
b.
44
c.
88
d.
84
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Q29 mcq
If on a sale, there is 40% discount on the marked price of ₹1,200, but the customer get?
a.
A.
b.
B.
c.
C.
d.
D.
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Q30 mcq
a.
4
b.
12
c.
21
d.
11 sale is done at ₹520 only, then how much additional discount did the GA
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