← RRB-NTPC-UG-2025
RRB · Mathematics

Set 14 — 14 Jun 2026 (9:00 AM - 10:30 AM)

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
Find the surface area of a sphere of radius 7 cm. (Take π = 22/7)
a.
616 sq cm Correct Answer
b.
484 sq cm
c.
704 sq cm
d.
588 sq cm

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Q2 mcq
A sum of ₹10,000 is invested at a compound interest rate of 10% per annum for 2 years, compounded annually. What is the compound interest earned?
a.
₹2,000
b.
₹2,100 Correct Answer
c.
₹1,900
d.
₹2,200

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Q3 mcq
What is the correct ascending order of the following ratios? 11:15, 23:55, 32:33, 4:11, 26:35
a.
4:11, 11:15, 23:55, 26:35, 32:33
b.
4:11, 23:55, 11:15, 26:35, 32:33 Correct Answer
c.
4:11, 26:35, 11:15, 23:55, 32:33
d.
4:11, 23:55, 26:35, 11:15, 32:33

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Q4 mcq
The ratio of the age of a father and his son at present is 6:1. After 5 years from now, the ratio will become 7:2. Find the present age of the son.
a.
7 years
b.
5 years Correct Answer
c.
4 years
d.
8 years

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Q5 mcq
Evaluate 25 3 + (-20) 3 + (-5) 3
a.
7467
b.
7500 Correct Answer
c.
7244
d.
7360

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Q6 mcq
The average of 6.5, 10.8, 19.9 and a is 18. The value of a is:5094
a.
35.8
b.
33.8
c.
34.8 Correct Answer
d.
36.8

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Q7 mcq
A new cuboid is formed by placing three cuboids of length 10.5 cm, breadth 6.4 cm, and height 2 cm, one on top of the other. What is the volume of the new cuboid?
a.
503.2 cm3
b.
303.2 cm3
c.
403.2 cm3 Correct Answer
d.
413.2 cm3

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Q8 mcq
At a health club, 40% of the members are women and 60% of the members are men. If the average age of the men is 51 years and the average age of the women is 55 years, what is the average age (in years) of all the members?
a.
52.6 Correct Answer
b.
59.7
c.
60.9
d.
50.2

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Q9 mcq
What is the smallest number that must be added to 45873 so that the sum is divisible by 11?
a.
9
b.
4
c.
8 Correct Answer
d.
6

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Q10 mcq
After successive discounts of 15% and 10%, a customer pays ₹3,672. What was the marked price?
a.
₹4,700
b.
₹4,750
c.
₹4,800 Correct Answer
d.
₹4,850

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Q11 mcq
The simple interest on a sum is 25% of the sum in 5 years. Find the rate of interest.
a.
4%
b.
3%
c.
5%
d.
25%
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Q12 mcq
The price of an item is increased by 15% and then by 20%. Now the price of the item is decreased so that the overall effective increment in the price is 5%. The price is decreased approximately by ____%.
a.
21.39
b.
23.91
c.
23.19
d.
21.93
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Q13 mcq
If 27 and 81 are the first two terms of a proportion and the third proportional to these numbers is used as the length of a rectangle whose width is 4 units, what is the numeric value of the area of the rectangle?
a.
486
b.
972
c.
6561
d.
729
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Q14 mcq
A and B can do a piece of work in 12 days and 18 days, respectively. Both work for 2 days and then A leaves. How long (in days) will B take to complete the remaining work?
a.
15
b.
14
c.
13
d.
12
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Q15 mcq
A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 45% and 44% on any number of toys bought. (B) Successive discounts of 36%, 41% and 45% on any number of toys bought. (C) 49% discount on the first 4 toys and 19% discount on each toy thereon. (D) 7 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.
C
c.
A
d.
D
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Q16 mcq
Three numbers are in the ratio 11 : 3 : 2, and their LCM is 2706. Their HCF is:
a.
82
b.
30
c.
50
d.
41
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Q17 mcq
Meena and her mother visit a shop. The shopkeeper tells them that the price of 5 identical dresses is ₹4,955. Meena buys 9 such dresses. Find the total cost of the 9 dresses.
a.
₹8,991
b.
₹8,919
c.
₹8,099
d.
₹8,199
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Q18 mcq
Arpit buys 3 bed sheets for ₹3,951. He sells the first at a profit of ₹300, the second at a loss of ₹50, and the third at a profit of ₹200. What is the overall profit or loss percentage? (Round off your result to two decimal places)
a.
10.93% profit
b.
11.39% loss
c.
11.39% profit
d.
10.93% loss
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Q19 mcq
A bus covers 150 km at 60 km/hr, 120 km at 80 km/hr, and 180 km at 90 km/hr without any stops. What is the average speed of the bus for the entire journey?
a.
72 km/hr
b.
85 km/hr
c.
70 km/hr
d.
75 km/hr
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Q20 mcq
The price of sugar is increased by 3%. How much percent the consumption of sugar must be reduced so as not to increase the expenditure on sugar? (correct your answer to one decimal place)
a.
2.9%
b.
1.9%
c.
2.6%
d.
1.7%
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Q21 mcq
The sum of the digits of a two digit number is 11. If 27 is added to the number its digits are reversed. Find the ratio between the original number to the number obtained on reversing the digits.
a.
23:29
b.
13:17
c.
36:59
d.
47:74
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Q22 mcq
Two trains are moving in opposite directions at speeds of 36 km/h and 54 km/h. If their lengths are 100 m and 150 m, respectively, how much time will they take to cross each other completely?
a.
12 seconds
b.
10 seconds
c.
15 seconds
d.
8 seconds
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Q23 mcq
A person sold an article at a loss of 10%. Had he sold it for ₹60 more, he would have gained 5%. Find the cost price of the article.
a.
₹480
b.
₹400
c.
₹420
d.
₹440 362
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Q24 mcq
a.
29
b.
36
c.
39
d.
34
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Q25 mcq
Co
a.
A.
b.
B.
c.
C.
d.
D.
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Q26 mcq
a.
0.7
b.
70
c.
0.8
d.
80
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Q27 mcq
₹9,520 is divided among X, Y, and Z in the ratio . What is the
a.
₹4,000
b.
₹2,600
c.
₹2,240
d.
₹3,200
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Q28 mcq
Two inlet pipes A and B can fill a cistern in 15 hours and 20 hours respectively. pipes are opened together, but the outlet pipe is closed after 5 hours. The
a.
A.
b.
B.
c.
C.
d.
D. share of Y? An outlet pipe C can empty the cistern in 30 hours. All three total time (in hours) required to fill the cistern completely is
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Q29 mcq
Find the value of m which satisfies
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Q30 mcq
The simplified value of the expression
a.
12.5
b.
6.25
c.
25
d.
50 GA
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