← RRB-NTPC-UG-2025
RRB · Mathematics

Set 12 — 14 Jun 2026 (12:45 PM - 2:15 PM)

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
Two banks, A and B, offered loans at 3.5% and 6.5% per annum, respectively. Ajay borrowed an amount of ₹2,60,000 from each bank. Find the positive difference between the amounts of simple interest (in ₹) paid to the two banks by Ajay after 2 years.
a.
15,600 Correct Answer
b.
17,100
c.
16,600
d.
15,100

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Q2 mcq
A cylindrical tank has a diameter of 12 m and a height of 10 m. If the tank is closed at both ends, what is the ratio of its curved surface area to its total surface area?
a.
5:8 Correct Answer
b.
4:7
c.
2:5
d.
3:5

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Q3 mcq
Find the rate of interest at which the simple interest on ₹15,000 for 4 years is ₹3,600.
a.
4%
b.
7%
c.
5%
d.
6% Correct Answer

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Q4 mcq
A tank is filled by two pipes, A and B, and emptied by a third pipe C. Pipe A fills the tank in 10 hours and pipe B in 15 hours. Pipe C empties it in 20 hours. If all three pipes are opened together, and pipe C is closed after 4 hours, how much total time will it take to fill the tank?
a.
8.2 hours
b.
8 hours
c.
7.2 hours Correct Answer
d.
7.5 hours

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Q5 mcq
The marked price of an article is ₹500. During a sale, its price is reduced to ₹450. What is the percentage decrease in price?
a.
12%
b.
10% Correct Answer
c.
8%
d.
5%

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Q6 mcq
Find the least value of (4K 2 +2M) for which the five digits number 7KM93 is divisible by 9.
a.
16 Correct Answer
b.
12
c.
27
d.
14

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Q7 mcq
X, Y, and Z enter into a partnership. X invests ₹60,000 for 12 months, Y invests ₹80,000 for 6 months, and Z invests ₹1,20,000 for 4 months. If the total profit is ₹77,000, what is the share of Z?
a.
₹20,000
b.
₹18,000
c.
₹22,000 Correct Answer
d.
₹24,000

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Q8 mcq
A delivery rider travels from Warehouse A to Store B, a distance of 48 km, at a speed of 32 km/hr. On the return journey along the same route, due to traffic, he travels at a speed of 24 km/hr. What is the rider’s average speed for the entire trip? (Round off up to two decimal places.)
a.
27.43 km/hr Correct Answer
b.
24.56 km/hr
c.
23.74 km/hr
d.
26.85 km/hr

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Q9 mcq
From the top of a cliff 80 meters high, the angles of depression of two ships in the same direction are 30° and 60°. Find the distance between the ships (rounded off to two decimal places).
a.
92.38 meters Correct Answer
b.
92.58 meters
c.
92.78 meters
d.
92.18 meters

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Q10 mcq
The original price of a refrigerator was $1,500. During a clearance sale, it was initially discounted by 30%, followed by an additional 10% discount on the reduced price. What is the total percentage discount applied to the refrigerator?
a.
30%
b.
37% Correct Answer
c.
40%
d.
35%

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Q11 mcq
A train overtakes two runners moving in the same direction at speeds of 5 km/h and 7 km/h, passing them completely in 18 seconds and 20 seconds, respectively. What is the length of the train (in metres)?
a.
100
b.
90
c.
80
d.
70
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Q12 mcq
Two taps can fill a cistern in 4 hours and 22 hours, respectively. A third tap can empty it in 22 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?
a.
4
b.
3
c.
2
d.
1
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Q13 mcq
4 years ago, the age of Shyam was seven times the age of his son, Rajat. After 8 years, Shyam’s age will be three times the age of Rajat. Find the present age of Shyam .
a.
42 years
b.
45 years
c.
46 years
d.
38 years
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Q14 mcq
Find the mean of the following data. Class interval 0-8 8-16 16-24 24- 32 32-40 40-48 Frequency 4 6 7 3 12 8
a.
30.5
b.
27.4
c.
25.2
d.
29.3
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Q15 mcq
Evaluate 22 3 + (-18) 3 + (-4) 3
a.
4617
b.
4819
c.
4800
d.
4752
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Q16 mcq
The measure of an interior angle of a regular polygon is 162°. Find the number of sides of the polygon.
a.
22
b.
18
c.
20
d.
12
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Q17 mcq
A shirt originally costing ₹800 is first decreased by 30% and then increased by 15%. What is its new price?
a.
₹680
b.
₹644
c.
₹750
d.
₹714
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Q18 mcq
The largest four-digit number which when divided by 10, 11 and 8 leaves remainder 7 in each case is:
a.
9687
b.
9978
c.
9557
d.
9398
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Q19 mcq
A shopkeeper sells two types of pens, A and B. The total number of pens sold in a day is 120. The price of pen A is ₹12 each and pen B is ₹8 each. If the total sale amount is ₹1120, how many pens of type A did he sell?
a.
40
b.
50
c.
70
d.
80
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Q20 mcq
An article marked at ₹1,250 is sold at two successive discounts such that the selling price becomes ₹900. If the first discount is 20%, what is the second discount?
a.
12%
b.
15%
c.
10%
d.
8%
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Q21 mcq
Which of the following is a pair of co-primes?
a.
42 and 56
b.
25 and 36
c.
44 and 99
d.
27 and 36
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Q22 mcq
The average of 12 numbers is 38. If two more numbers 50 and 62 are included, the new average is (Round off your answer to two decimal places.)
a.
38.57
b.
39.57
c.
40.57
d.
41.57
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Q23 mcq
The mean proportional between 12 and a number is twice the mean proportional between 9 and 16. Find the number.
a.
48
b.
72
c.
56
d.
60
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Q24 mcq
Nitin sells two articles for ₹2,973 each with no profit, no loss in the entire transaction. If one article was sold at a gain of 50%, then the other article is sold at a loss of:
a.
25%
b.
26%
c.
27%
d.
22%
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Q25 mcq
A shopkeeper marks the price of sugar 24% above the cost price and gives a discount of 18%, but uses a weight of 800 grams instead of 1 kg. Find his overall profit percentage.
a.
26%
b.
28%
c.
27.1%
d.
25.4%
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Q26 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q27 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q28 mcq
The sides of a rectangular field are 55 m and 70 m long. Its area is equal circular field? (Take )1257
a.
220
b.
197
c.
181
d.
174 to the area of a circular field. What is the perimeter (in m) of the
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Q29 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q30 mcq
a.
31
b.
30
c.
36
d.
29 GA
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