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RRB · Mathematics

Set 32 — 20 Jun 2026 (9:00 AM - 10:30 AM)

2025 · 30 questions · First 10 Solutions Free
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Q1 mcq
A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 6% and 39% on any number of toys bought. (B) Successive discounts of 48%, 16% and 11% on any number of toys bought. (C) 37% discount on the first 2 toys and 29% discount on each toy thereon. (D) 2 toys free of cost on buying 4 toys. A customer wants to buy 4 toys. Which of the above schemes is the least beneficial to her?
a.
C Correct Answer
b.
D
c.
B
d.
A

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Q2 mcq
A tank is full. Pipes A and B can drain the tank in 10 hours and 15 hours, respectively, while pipe C can fill the tank in 12 hours. Pipes A and B run for 2 hours, after which pipe C is also turned on. How many hours will it take to empty the tank completely?
a.
10 hours Correct Answer
b.
6 hours
c.
4 hours
d.
8 hours

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Q3 mcq
A city is planning a new park in the shape of a regular hexagon with each side measuring 10 meters. Which of the following is closest to the area of the park?
a.
173.2 square meters
b.
600 square meters
c.
150 square meters
d.
259.8 square meters Correct Answer

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Q4 mcq
Two equal sums of money are lent out for 2 years each, one at 5% per annum simple interest and the other at 7% per annum simple interest. If the difference in simple interest earned on the two sums is ₹40, then what was the principal of each sum (in ₹)?
a.
1,000 Correct Answer
b.
800
c.
1,400
d.
1,200

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Q5 mcq
A shopkeeper offers a single discount of 30% on a shirt priced at ₹800. Alternatively, he offers two successive discounts of 25% and 5% on the same shirt. What is the difference in the total discount amount between the two offers?
a.
₹16
b.
₹14
c.
₹20
d.
₹10 Correct Answer

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Q6 mcq
A company has three branches. Branch A has 40 employees with average monthly sales of ₹1,20,000, Branch B has 30 employees with average monthly sales of ₹1,80,000, and Branch C has 30 employees with average monthly sales of ₹1,50,000. What is the average monthly sales per employee of the company (in ₹)?
a.
1,47,000 Correct Answer
b.
1,50,000
c.
1,20,000
d.
1,60,000

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Q7 mcq
The monthly charges of a hostel consist of a fixed part and a variable part depending on the number of students. For 25 students, the total bill is ₹17,500. For 40 students, the total bill is ₹25,000. What is the total bill for 60 students?
a.
₹30,000
b.
₹37,500
c.
₹32,500
d.
₹35,000 Correct Answer

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Q8 mcq
A cyclist travels from Town A to Town B, a distance of 78 km, at a speed of 13 km/h. He returns from Town B to Town A at a speed of 26 km/h. What is the total time taken for the round trip, in hours?
a.
8
b.
7
c.
10
d.
9 Correct Answer

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Q9 mcq
A five-digit number 7549A is divisible by 4 and 3. If it is divided by 12, what will be the remainder?
a.
1
b.
2
c.
4
d.
0 Correct Answer

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Q10 mcq
20 note books, 100 pens and 50 pencils were bought for ₹3,500. If the average cost of a note book is ₹50 and that of a pencil is ₹10, find the average cost of a pen.
a.
₹20 Correct Answer
b.
₹25
c.
₹16
d.
₹15

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Q11 mcq
A mixture contains milk and water in the ratio 5:3. If 48 liters of water is added, the ratio becomes 5:5. Find the initial quantity of milk.
a.
115 liters
b.
120 liters
c.
110 liters
d.
125 liters
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Q12 mcq
When the cost of an article was decreased by 7%, the number of articles sold was increased by 20%. What was the effect (in percentage) on the revenue?
a.
increase of 10.4%
b.
decrease of 10.6%
c.
increase of 11.6%
d.
decrease of 9.6%
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Q13 mcq
The radius of a spherical balloon is increased by 20%. Find the percentage increase in its surface area.
a.
44%
b.
40%
c.
22%
d.
20%
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Q14 mcq
A flagpole stands on top of a building. From a point 25 metres away from the base of the building, the angle of elevation to the top of the flagpole is 60°, and to the top of the building is 30°. What is the height of the flagpole? (Round your answer off to the nearest metre, and use √3=1.7)
a.
35 m
b.
31 m
c.
29 m
d.
30 m
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Q15 mcq
A and B can do a piece of work in 12 days and 24 days, respectively. Both work for 4 days and then A leaves. How long (in days) will B take to complete the remaining work?
a.
12
b.
14
c.
11
d.
13
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Q16 mcq
Of three numbers, the first number is 25 and the third number is 100. If the second number is the mean proportional between the first and the third numbers, find the value of the second number.
a.
40
b.
75
c.
50
d.
45
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Q17 mcq
During a sale, 50% of the goods are sold at 21% profit, 30% of the remaining goods are sold at 43% profit and the still remaining goods are sold at a loss of 17%. If there is an overall profit of x%, then what is the value of x?
a.
12
b.
11
c.
10.5
d.
11.5
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Q18 mcq
Which of the following numbers are not divisible by 68? ( i ) 17350 ( ii ) 23800 ( iii ) 28560 ( iv ) 35350
a.
( i ) and ( ii )
b.
( iii ) and ( iv )
c.
( i ) and ( iv )
d.
( ii ) and ( iii )
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Q19 mcq
Evaluate 22 3 + (-6) 3 + (-16) 3
a.
6127
b.
6147
c.
6336
d.
6099
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Q20 mcq
If the ratio of two numbers is 6 : 4, and their HCF is 49, then their LCM is:
a.
294
b.
287
c.
298
d.
295
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Q21 mcq
Find the greatest number that will divide 186, 321 and 402 so as to leave the same remainder in each case.
a.
13
b.
23
c.
19
d.
27
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Q22 mcq
Priya invested ₹3200 in a bank at a simple interest rate of 12% per annum. If she kept her money in the bank for 5 years, what will be the total interest earned?
a.
₹1940
b.
₹1930
c.
₹1910
d.
₹1920
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Q23 mcq
A shopkeeper buys an article for ₹500 and sells it for ₹575. What is the percentage profit?
a.
10%
b.
15%
c.
20%
d.
12.5%
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Q24 mcq
A person travels half of a total distance at 30 km/h and the remaining half at 60 km/h. If the total distance is 120 km, how much time does the person take to complete the entire journey?
a.
3 hours
b.
4 hours
c.
5 hours
d.
2.5 hours
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Q25 mcq
In a business, P invests ₹2,00,000 for 8 months, Q invests ₹1,50,000 for 9 months and R invests ₹1,20,000 for some complete months. After a year, out of the profit, R gets a higher profit amount than Q but less than P. If R gets ₹72,000 as profit, then the profit of P is ₹_______.
a.
90,000
b.
1,20,000
c.
1,00,000
d.
80,000
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Q26 mcq
A club received an income of ₹7,643 from membership fees and ₹2,198 from selling old sports equipment during the year. At the start of the year, ₹1,105 in membership fees was outstanding, and at the end of the year, ₹916 was still outstanding. If the club incurred expenditures of ₹5,287 on sports material and ₹3,120 on maintenance, what is the club's surplus or deficit for the year?
a.
₹2,613 deficit
b.
₹2,613 surplus
c.
₹1,245 surplus
d.
₹1,975 deficit
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Q27 mcq
Two sisters, Anika and Riya, have a combined present age of 34 years. Five years ago from now, Anika was twice as old as Riya was then. What is Anika's current age in years?
a.
18
b.
21
c.
20
d.
23
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Q28 mcq
A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. If a perpendicular is drawn from the vertex opposite the longest side to the longest side, what is the length of the perpendicular? (Rounded off to two decimal places)
a.
5.37 cm
b.
4.62 cm
c.
5.08 cm
d.
6.51 cm GA
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Q29 mcq
a.
A.
b.
B.
c.
C.
d.
D.
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Q30 mcq
a.
5
b.
7
c.
21
d.
14
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