← RRB-NTPC-UG-2025
RRB · Mathematics

Set 29 — 19 Jun 2026 (9:00 AM - 10:30 AM)

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
Pipes, A and B, can fill a tank in 10 hours. Pipes, B and C, can fill the same tank in 20 hours. If pipe B alone can fill the same tank in 30 hours, how much time will the pipes A and C take together to fill the same tank.
a.
13 hours
b.
12 hours Correct Answer
c.
16 hours
d.
14 hours

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Q2 mcq
A trader buys a mobile phone for ₹8000, spends ₹500 on repairs, and sells it at a profit of 20% on the total cost. Later, the buyer resells it at a loss of 25%. What price does the final buyer pay for the mobile phone?
a.
₹9600
b.
₹7000
c.
₹10500
d.
₹7650 Correct Answer

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Q3 mcq
A and B can complete a piece of work in 12 days and 6 days, respectively. Both work together for 2 days and then A leaves. B completes the remaining work alone. In how many days is the whole work completed?
a.
3
b.
4
c.
6
d.
5 Correct Answer

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Q4 mcq
₹5,278 is divided among X, Y, and Z in such a way that if ₹67, ₹61, and ₹68 are deducted from their respective shares, they have money in the ratio 8 : 20 : 5. Find X’s share after deduction.
a.
₹1,232 Correct Answer
b.
₹1,132
c.
₹1,082
d.
₹1,332

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Q5 mcq
Find the third proportional to 8 and 48.2.
a.
294.205
b.
296.605
c.
290.405 Correct Answer
d.
292.805

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Q6 mcq
A faster train overtakes a slower train, both moving in the same direction. The faster train takes 36 seconds to completely pass the slower train. A passenger sitting in the faster train observes that he passes the slower train in 12 seconds. Find the ratio of the length of the faster train to the length of the slower train.
a.
1 : 1
b.
3 : 2
c.
3 : 1
d.
2 : 1 Correct Answer

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Q7 mcq
A positive integer N divides 228, leaving a remainder of 18. What is the greatest two-digit value of N?
a.
60
b.
70 Correct Answer
c.
84
d.
42

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Q8 mcq
What sum (in ₹) will earn a simple interest of ₹1,320 in 4 years at 8% per year rate of interest?
a.
4,125 Correct Answer
b.
8,250
c.
2,062.5
d.
422.4

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Q9 mcq
From the top of a 75-meter-high lighthouse, the angles of depression of two ships are 30° and 45°. If the two ships are on the same side of the lighthouse and in a straight line with its base, find the distance between the two ships. (Use √3 = 1.732)
a.
54.9 meters Correct Answer
b.
61.2 meters
c.
58.4 meters
d.
52.5 meters

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Q10 mcq
Two trains, 130 meters and 120 meters long, are running in parallel tracks in the same direction at speeds of 62 km/hr and 44 km/hr, respectively. How much time will the faster train take to completely cross the slower one?
a.
55 seconds
b.
45 seconds
c.
50 seconds Correct Answer
d.
60 seconds

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Q11 mcq
The ratio of the radii of two spheres is 2 : 3. If the radius of the first sphere is increased by 50% and the radius of the second sphere is increased by 20%, find the ratio of their new volumes.
a.
144 : 125
b.
216 : 343
c.
125 : 216
d.
125 : 169
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Q12 mcq
A pentagon is divided into three triangles by drawing diagonals from one of its vertices. The areas of two of these triangles are 24 cm 2 and 30 cm 2 . The third triangle has a base of 12 cm and a height of 38 cm. What is the area (in cm 2 ) of the pentagon?
a.
228
b.
275
c.
282
d.
242
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Q13 mcq
Two friends, P and Q, started a business by investing ₹3,000 and ₹600, respectively. At the end of one year, the business earned a total profit of ₹54,846. What is the share (in ₹) of P in the profit?
a.
45,855
b.
45,555
c.
45,705
d.
45,605
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Q14 mcq
Chetan’s salary is ₹16000 per month. He spends ₹6000 on house rent, ₹1500 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 saving for birthday celebration.2480
a.
85000
b.
102000
c.
93500
d.
76500
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Q15 mcq
If the average of four numbers is 15, and three of the numbers are 10, 20, and 25, what is the fourth number?
a.
20
b.
5
c.
15
d.
10
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Q16 mcq
Evaluate 25 3 + (-7) 3 + (-18) 3
a.
9450
b.
9350
c.
9173
d.
9490
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Q17 mcq
The price of an article is successively increased by 9% and 13%. Find the percentage increase in the price of the article.
a.
20.68%
b.
22.57%
c.
24.69%
d.
23.17%
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Q18 mcq
The present age of a father is equal to sum of ages of his son and daughter. Ten years ago from now, the age of the father was double the age of the son and four times the age of the daughter. The total present age of the father, daughter and son is ____ years.
a.
120
b.
60
c.
100
d.
80
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Q19 mcq
The simple interest on a certain sum for 4 years at 10% interest per annum is ₹3,200. What will be the amount payable after 6 years at the same rate?
a.
₹12,800
b.
₹11,400
c.
₹12,400
d.
₹11,800
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Q20 mcq
In a class, the average weight of the boys is 65 kg and the average weight of the girls is 45 kg. The average weight of the whole class is 57 kg. What is the ratio of the number of girls to the number of boys in the class?
a.
2:3
b.
3:2
c.
4:3
d.
3:4
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Q21 mcq
Three numbers are in the ratio 3 : 7 : 2, and their LCM is 5376. Their HCF is:8629
a.
128
b.
140
c.
161
d.
162
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Q22 mcq
A store offers a 10% festival discount on the marked price of ₹900. Later, to clear the stock, it offers an additional 5% off on the already discounted price. What is the total amount paid by the customer?
a.
₹785.50
b.
₹790
c.
₹775
d.
₹769.50
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Q23 mcq
Two positive numbers are in the ratio 2:3. If the product of their LCM and HCF is 294, then find the sum of the two numbers.
a.
20
b.
30
c.
15
d.
35
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Q24 mcq
324 × 24 = 7776. What will 7.776 ÷ 2.4 be equal to?
a.
0.324
b.
32.4
c.
3.24
d.
0.0324
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Q25 mcq
The numerator of a fraction is 8 less than the denominator. If the denominator the fraction . Find the original fraction.
a.
A.
b.
B.
c.
C.
d.
D.
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Q26 mcq
a.
50
b.
59
c.
53
d.
66
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Q27 mcq
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Q28 mcq
a.
A.
b.
B.
c.
C.
d.
D. is increased by 5 and the numerator is increased by 3, we get
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Q29 mcq
Surjeet buys 20 kg of sugar for ₹900. He sells 18 kg of sugar for ₹918. What
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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