← RRB-NTPC-UG-2025
RRB · Mathematics

Set 9 — 09 May 2026 (9:00 AM - 10:30 AM)

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
If the compound interest on a sum for 2 years at 5% per annum is ₹102.50, what is the sum?
a.
₹1,100
b.
₹950
c.
₹1,000 Correct Answer
d.
₹1,025

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Q2 mcq
The average of 8 numbers is 45. If each number is decreased by 4, what will the new average be?4633
a.
8
b.
41 Correct Answer
c.
37
d.
45

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Q3 mcq
Three numbers in the ratio 2 : 5 : 7 are taken as the first, second, and third terms, respectively. If their fourth proportional is 140, find the middle number.
a.
30
b.
35
c.
50
d.
40 Correct Answer

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Q4 mcq
The average of five numbers 7, 11, 15, x, and 23 is 15. What is the value of x?
a.
17
b.
19 Correct Answer
c.
21
d.
23

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Q5 mcq
The sum of the ages of a daughter and her mother is 76 years. After 4 years, the age of the mother will be three times that of the daughter. What is the present age (in years) of the mother?
a.
18
b.
57
c.
17
d.
59 Correct Answer

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Q6 mcq
A bus covers 90 km in 3 hours. If the speed of the bus is increased by 5 kmph, find the time taken to cover a distance of 70 km?
a.
2.5 hours
b.
2 hours Correct Answer
c.
3 hours
d.
3.5 hours

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Q7 mcq
Ritu covers a distance of 40 km at 20 km/h and another distance at 40 km/h in 3 hours. Find the average speed for the whole journey.
a.
26 km/h
b.
32 km/h Correct Answer
c.
38 km/h
d.
31 km/h

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Q8 mcq
Two taps can fill a cistern in 4 hours and 10 hours, respectively. A third tap can empty it in 10 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.
4
c.
2
d.
3

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Q9 mcq
A sum of ₹8,000 is invested at a compound interest rate of 12.5% per annum for 2 years, compounded annually. What is the compound interest earned?
a.
₹2,250
b.
₹2,125 Correct Answer
c.
₹2,000
d.
₹2,500

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Q10 mcq
A and B can complete a task in 20 days and 25 days, respectively. They started working together, but B left after 5 days. How many more days will A take to finish the remaining work?
a.
9 days
b.
11 days Correct Answer
c.
10 days
d.
12 days

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Q11 mcq
A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 5% and 30% on any number of toys bought. (B) Successive discounts of 18%, 15% and 5% on any number of toys bought. (C) 11% discount on the first 5 toys and 47% discount on each toy thereon. (D) 2 toys free of cost on buying 5 toys. A customer wants to buy 5 toys. Which of the above schemes is the least beneficial to her?
a.
A
b.
C
c.
D
d.
B
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Q12 mcq
The largest four-digit number which when divided by 6, 14 and 7 leaves remainder 5 in each case is:
a.
9973
b.
9998
c.
9959
d.
9946
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Q13 mcq
During a sale, 50% of the goods are sold at 21% profit, 40% of the remaining goods are sold at 36% profit and the still remaining goods are sold at a loss of 29%. If there is an overall profit of x%, then what is the value of x?
a.
8.5
b.
10
c.
9
d.
9.5
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Q14 mcq
The perimeter of a rectangle is 56 cm. Its length is 4 cm more than twice its breadth. Find the breadth.
a.
10 cm
b.
6 cm
c.
8 cm
d.
12 cm
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Q15 mcq
If a square’s diagonal is extended by 6 units beyond a vertex, forming a triangle outside the square, what is the angle between this extension and the adjacent side of the square?
a.
45 degrees
b.
30 degrees
c.
60 degrees
d.
90 degrees
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Q16 mcq
What is the digit y if the number 6y512 is exactly divisible by both 8 and 9?
a.
6
b.
2
c.
8
d.
4
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Q17 mcq
A trader buys a chair for ₹200, sells it at a 10% profit, and then the buyer sells it again at a 15% profit. What is the final selling price?
a.
₹242
b.
₹253
c.
₹260
d.
₹230
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Q18 mcq
The price of an article is increased by 25%. By what percentage should the increased price be reduced so that it becomes equal to the original price?
a.
22%
b.
30%
c.
20%
d.
25%
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Q19 mcq
In a division sum, the divisor is 5 times the quotient and 4 times the remainder. If the remainder is 15, what is the dividend?
a.
735
b.
734
c.
739
d.
740
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Q20 mcq
A shopkeeper marks an article 40% above its cost price. He then allows two successive discounts of 18% and 5% on the marked price. Find the profit percentage.
a.
8.96%
b.
9.06%
c.
9.77%
d.
8.07%
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Q21 mcq
Girish scored 448 marks in an examination and was 64 marks short of 16% of maximum marks. In the same examination, his friend scored 672 marks. What is the percentage of marks scored by his friend?
a.
22%
b.
19%
c.
24%
d.
21%
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Q22 mcq
Two bags contain marbles in the ratio 5 : 7. If 12 marbles are transferred from the second bag to the first bag, the ratio of marbles in the two bags becomes 7 : 5. Find the original number of marbles in the second bag.
a.
63
b.
72
c.
42
d.
68
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Q23 mcq
The sum of two positive numbers is 35 and their product is 286. The positive difference between them is:
a.
8
b.
18
c.
9
d.
14
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Q24 mcq
a.
4
b.
3
c.
7
d.
5
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Q25 mcq
Find the third proportional to 6 and 12.
a.
18
b.
48
c.
24
d.
36
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Q26 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q27 mcq
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Q28 mcq
a.
6.2
b.
7.2
c.
8.2
d.
5.2
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Q29 mcq
a.
4
b.
7
c.
5
d.
6
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Q30 mcq
A solid cube is melted and half of its material is recast into a cuboid whose between the volume of the original cube and the cuboid formed is 250 cm
a.
A.
b.
B.
c.
C.
d.
D. length, breadth, and height are in the ratio 2 : 1 : 1. The difference 3 . Find the total surface area of the cuboid. GA
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