← RRB-NTPC-UG-2025
RRB · Mathematics

Set 3 — 07 May 2026 (9:00 AM - 10:30 AM)

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
The arithmetic mean of the first 15 numbers is 82. The mean is reduced by 6 when one of the numbers is removed. Find the number that is excluded?
a.
164
b.
142
c.
100
d.
166 Correct Answer

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Q2 mcq
Two bells are rung at intervals of 1,764 seconds and 2,268 seconds, respectively. They are rung together at the start. After how much time will the two bells ring together again for the first time?
a.
4 hours 12 minutes 18 seconds
b.
4 hours 24 minutes 36 seconds Correct Answer
c.
4 hours 18 minutes 12 seconds
d.
4 hours 36 minutes 24 seconds

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Q3 mcq
Which of the ratios given below is the greatest among them?
a.
7 : 11 Correct Answer
b.
4 : 7
c.
5 : 8
d.
3 : 5

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Q4 mcq
A person walks from point P to Q at 5 km/hr and returns from Q to P along the same route jogging at 10 km/hr. If the total time taken is 3 hours, what is the distance between P and Q?
a.
5 km
b.
10 km Correct Answer
c.
20 km
d.
15 km

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Q5 mcq
The value of a machine depreciates by 10% every year. What is the total percentage depreciation after 2 years?
a.
20%
b.
22%
c.
19% Correct Answer
d.
21%

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Q6 mcq
Sunil purchased a microwave oven for ₹7,000. He spent ₹400 on its transportation and ₹600 on repairs. He sold the oven for ₹9,800. What is his percentage profit on total investment?
a.
22.5% Correct Answer
b.
21.5%
c.
20.5%
d.
23.5%

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Q7 mcq
A fruit seller sold mangoes at ₹600 per box last month. This month, he first increased the price by 10% due to transportation costs and then offered a discount of 15% on the increased price. What is the final price of one box of mangoes?
a.
₹551
b.
₹571
c.
₹561 Correct Answer
d.
₹541

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Q8 mcq
Which of the following numbers is completely divisible by 6?
a.
6,42,538
b.
8,91,452
c.
7,53,216 Correct Answer
d.
5,47,821

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Q9 mcq
Two taps can fill a cistern in 2 hours and 37 hours, respectively. A third tap can empty it in 37 hours. How long (in hours) will it take to fill half of the empty cistern if all the taps are opened together?
a.
1 Correct Answer
b.
2
c.
3
d.
4

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Q10 mcq
If the interest on a sum of ₹y at 10% per annum compounded annually for 2 years is ₹462, then the total amount payable at the end of the two-year period will be _________.
a.
₹2,762
b.
₹2,862
c.
₹2,662 Correct Answer
d.
₹2,962

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Q11 mcq
In a class, the average score of 8 boys is 56 and the average score of 4 girls is 80. What is the average score of all 12 students?
a.
62
b.
64
c.
68
d.
66
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Q12 mcq
Three numbers are in the ratio 4 : 13 : 9, and their LCM is 6084. Their HCF is:8621
a.
23
b.
12
c.
48
d.
13
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Q13 mcq
The perimeter of a rhombus is 100 meters and one of its diagonals is 14 meters long. What is the length of the other diagonal?
a.
50 meters
b.
42 meters
c.
40 meters
d.
48 meters
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Q14 mcq
A train of length 180 meters is running at a speed of 72 km/h. How much time will it take to cross a bridge 350 meters long?
a.
24.5 seconds
b.
23.5 seconds
c.
26.5 seconds
d.
27.5 seconds
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Q15 mcq
a.
-1
b.
2
c.
0
d.
1
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Q16 mcq
The ratio of two numbers is 3 : 5. If 6 is subtracted from each, the resulting numbers are in the ratio 1 : 2. Find the difference between the two original numbers.
a.
12
b.
14
c.
10
d.
16
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Q17 mcq
A and B invest in a business in the ratio 5 : 7. After 4 months, C joins the business with an investment equal to the amount invested by A. At the end of one year, the total profit is ₹92,000. Find the sum (in ₹) of the shares of partners B and C.
a.
₹62,000
b.
₹66,800
c.
₹49,600
d.
₹64,400
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Q18 mcq
The 7-digit number 46A484B is divisible by 24. What is the minimum value of (A + B)?
a.
3
b.
1
c.
6
d.
4
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Q19 mcq
If a two-digit number has a digit sum of 9 and adding 27 reverses its digits, determine the unit digit of the number.
a.
4
b.
3
c.
6
d.
5
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Q20 mcq
The present age of a man is 4 years more than twice the present age of his son. After 6 years, the sum of their ages will be 58 years. What is the present age of the son?
a.
11 years
b.
14 years
c.
9 years
d.
10 years
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Q21 mcq
A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 16% and 29% on any number of toys bought. (B) Successive discounts of 4%, 34% and 37% on any number of toys bought. (C) 12% discount on the first 4 toys and 27% discount on each toy thereon. (D) 4 toys free of cost on buying 10 toys. A customer wants to buy 10 toys. Which of the above schemes is the least beneficial to her?
a.
B
b.
D
c.
C
d.
A
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Q22 mcq
A streaming service charges ₹150 per month. If you buy an annual plan (12 months) with a 15% discount, what is your total savings (in ₹) compared to paying monthly for a year?
a.
270
b.
180
c.
300
d.
240
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Q23 mcq
The sum of two positive numbers is 27 and their product is 170. The positive difference between them is:
a.
12
b.
2
c.
19
d.
7
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Q24 mcq
What sum (in ₹) will earn a simple interest of ₹1,320 in 3 years at 20% per year rate of interest?
a.
792
b.
2,200
c.
4,400
d.
1,100
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Q25 mcq
A dealer sells a product at 15% profit. If he had bought it at 10% less and sold it for ₹126 less, he would have gained 20%. Find the cost price.
a.
₹1,400
b.
₹2,000
c.
₹1,200
d.
₹1,800
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Q26 mcq
Pipes X, Y, and Z together can fill a tank in 8 hours. If all three work together for 3 hours, and then pipe Z is closed, the remaining tank is filled by X and Y in 10 hours. In how many hours can pipe Z alone fill the empty tank?
a.
32
b.
24
c.
18
d.
16
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Q27 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q28 mcq
Find the diameter of a sphere of surface area 28962 cm 2 . (round off to the
a.
48 cm
b.
96 cm
c.
108 cm
d.
98 cm closest integer)
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Q29 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q30 mcq
a.
A.
b.
B.
c.
C.
d.
D. GA
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