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Correct answer: (A) 250 cm
RRB JE · Topic-wise previous year questions
Mathematics Previous Year Questions (page 10)
561 Mathematics questions asked in RRB JE previous year papers, each with the correct answer and explanation. Read them free on UTpaper, or attempt the full papers as timed online tests.
- 561 questions
- 14 topics
- Official answer key
- Free
Practise by topic
Choose the correct statements about triangles from the ones given below:
A. A triangle can be formed with sides 9 cm, 13 cm, 3 cm.
B. In ∆PQR, if ∠P =50°, ∠Q = 30°, then QR is the longest side of the triangle.
C. Area of an equilateral triangle of side 6 cm is 18√3 cm².
D. In ∆DEF and ∆PQR, ∠D = ∠P, ∠E = ∠Q and DF = PR. Then ∆DEF is congruent to
∆PQR.
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Correct answer: (D) Only D
A person standing 20 meters away from the base of a tower observes that the angle of
elevation to the top of the tower is 60°. Find the height of the tower. (Rounded off to two
decimal places)
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Correct answer: (A) 34.64 m
This question is based on the following words.
MUG TOP ACE GAS
How many letters are there between the second letter of the first word from the right
and the second letter of the first word from the left as per the English alphabetical
order?
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Correct answer: (B) 19
In a 100-meter race, X runs at 5 m/s and Y at 4 m/s. How much head start should X give
Y (in meters) so that the race ends in a tie?
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Correct answer: (C) 20
A store offers a trade discount of 16% on all items. In addition, they offer a “Buy four
get one free” scheme on specific items. If a customer purchases five items each marked
at ₹700 and the “Buy four get one free” scheme applies, what is the total discounted
price for five items, the customer has to pay?
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Correct answer: (B) ₹2352
The internal surface area (in m²) of an open cuboidal tank whose internal length,
internal breadth and internal height are given as 3 m, 11 m, and 9 m, respectively, is:
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Correct answer: (B) 285
Find the mode of the given data (correct to two places of decimal).
Class
0-6
6-12
12-18
18-24
24-30
interval
Frequenc
8
7
5
9
4
y
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Correct answer: (A) 20.67
The product of two consecutive natural numbers is 506. The greater of the two numbers
is:
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Correct answer: (B) 23
The LCM of 5³ × 8² × 12, 5² × 12² × 16 and 8³ × 12² × 16² is:
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Correct answer: (A) 221 × 32 × 53
What does Snell's law of refraction state about the ratio of the sine of the angle of
incidence to the sine of the angle of refraction for a given colour and pair of media?
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Correct answer: (C) It remains constant.
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Correct answer: (B) 38.81
A scientist wants to demonstrate that dispersion depends on wavelength. She shines
monochromatic red light through a prism. What does she observe and why?
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Correct answer: (A) Only a single red ray emerges; no spectrum forms because there is only one wavelength
Water flows at the rate of 10 m/min from a cylindrical pipe 6 mm in diameter. How long
will it take to fill up a conical vessel whose diameter at the base is 60 cm and depth 21
cm?
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Correct answer: (C) 1 hour, 10 minutes
The sum of the squares of two consecutive odd natural numbers is 3530. The sum of
the numbers is:
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Correct answer: (A) 84
If x varies directly as y and inversely as z, and x = 16 when y = 40 and z = 3, then find x
when y = 50 and z = 6.
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Correct answer: (B) 10
If Chandu covers 285 km in a boat in 45 hours against the stream while he takes 18
hours to cover the same distance downstream, then find the speed of the stream.
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Correct answer: (A) 4.75 km/h
P and Q together can fill a cistern with water in 24 hours. If P alone can fill the cistern
with water in 96 hours, then in how many hours will Q alone fill three-fourth of the same
cistern with water?
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Correct answer: (C) 24
The marks scored by 10 students are given below.
12, 12, 20, 12, 12, 17, 17, 18, 18, 13
The mode of the data is:
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Correct answer: (A) 12
Refer to the following number and symbol series and answer the question that follows.
Counting to be done from left to right only. (All numbers are single-digit numbers only)
(Left) 2 # @ 1 4 ^ 8 9 + 2 ? $ 3 ^ 7 * 9 8 (Right)
How many such symbols are there, each of which is immediately preceded by a number
and also immediately followed by another number?
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Correct answer: (B) Four
Mr. Y travelled 438 km, 820 km and 972 km at a speed of 6 km/hr, 20 km/hr and 27 km/hr,
respectively. Find his average speed in km/hr.
- A
- B
- C
- D
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Correct answer: (A)
A and B can complete a work in 15 days and 10 days, respectively. They started doing
the work together but after 4 days, B had to leave, and A completed the remaining work
alone. The entire work was completed in ______________ days.
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Correct answer: (B) 9
What will come in place of ‘?’ in the following equation, if ‘+’ and ‘−‘ are interchanged
and ‘×’ and ‘÷’ are interchanged?
12 ÷ 3 + 32 × 4 − 5 = ? + 3
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Correct answer: (A) 36
If 15% of A is equal to 20% of B and 10% of B is equal to 25% of C, what is the ratio of A
: B : C?
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Correct answer: (B) 20:15:6
The average of the first 18 positive multiples of 8 is:
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Correct answer: (A) 76
The price of fuel decreases by 35%, 10% and 50% in three successive months, but
increases by 40% in the fourth month. What is the percentage increase/decrease in the
price of fuel in the fourth month as compared to its original price?
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Correct answer: (C) Decreases by 59.05%
If third proportional of 8 and 48 be x, then what is the value of x?
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Correct answer: (C) 288
A ball at rest is dropped from the top of a 20 m high building. Calculate the speed with
which it hits the ground. (Take g = 10 m/s²)
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Correct answer: (D) 20 m/s
This question is based on the following words.
OUT USE TUG RIP
How many letters are there between the second letter of the first word from the right
and the second letter of the first word from the left as per the English alphabetical
order?
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Correct answer: (A) 11
Refer to the two statements given below and choose the CORRECT option.
Statement A: Poor storage conditions result in weight loss and discolouration of grains.
Statement B: Poor storage conditions enhance seed viability and grain texture.
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Correct answer: (D) Statement A is correct but B is incorrect.
In what ratio must a fruit vendor mix two varieties of mangoes costing ₹60/kg and
₹68.40/kg, so that by selling the mixed variety of mangoes at ₹79.80/kg, he may gain
18.75%?
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Correct answer: (D) 1 : 6
By selling an article at 76% of its marked price, a trader makes a loss of 20%. What will
be the profit percentage, if he sells it at 99% of its marked price?
- A
- B
- C
- D
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Correct answer: (C)
Which measurable quantity remains the same when a liquid is transferred between
containers?
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Correct answer: (A) Volume of the liquid remains unchanged
The simplified value of 178 - 7 x (3 + 17) + 22 is:
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Correct answer: (D) 60
The length of a cuboid is three times its height, and the breadth is twice the height. If
the height is (x² + 2) cm, find the lateral surface area of the cuboid at x = 2.
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Correct answer: (A) 360 cm2
A vending machine contains ₹1, 50 paise, and 25 paise coins. In one tray, the number of
coins of these denominations is in the ratio 2:3:4, and their total value is ₹180. In
another tray, the values of ₹1, 50 paise, and 25 paise coins are in the ratio 13:11:7, and
the total number of coins in this tray is 378. How many 50-paise coins are there in total
across both trays?
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Correct answer: (C) 252
Amit had invested same amount of sums at simple interest as well as compound
interest, compounded annually. The time period of both the sums was 2 years and rate
of interest too was the same 10% per annum. At the end, he found a difference of ₹45 in
both the interests received. What were the sums (in ₹) invested in each case?
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Correct answer: (C) 4,500
What is the remainder when (x²−4x+7) is divided by (x−2)?
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Correct answer: (A) 3
Mahesh has borrowed an amount of ₹420000 from a bank to start a business. How
much simple interest (in ₹) will he pay at a rate of 6% per annum after 2 years?
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Correct answer: (A) 50400
A car travels 120 meters north in 10 seconds and then instantly returns to its original
position in the next 10 seconds. Which statement best describes the car's average
velocity for the entire trip?
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Correct answer: (A) The average velocity is zero because the displacement is zero.
Two circles, having their centres at A and at B, touch externally at a point M. From a
point P on a tangent at M, tangents PQ and PR are drawn to the circles with points of
contact Q and R, respectively. If AP = 13 cm and AM = 5 cm, find the value of PQ + PR −
PM.
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Correct answer: (A) 12 cm
During a sale 50% of the goods are sold at 19% profit, 20% of the remaining goods are
sold at 40% profit and the still remaining goods are sold at a loss of 25%. If there is an
overall profit of x%, then what is the value of x?
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Correct answer: (D) 3.5
A question is followed by two statements numbered (I) and (II). You have to decide
whether the data provided in the statements are sufficient to answer the question. Read
both the statements carefully and decide the appropriate answer.
Among 5 people, A, B, C, D and E, each of a different height, who is the second-tallest?
I: E is shorter than A. B is taller than D but shorter than E.
II: Only C is taller than A. D is shorter than E.
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Correct answer: (A) The data in statement II alone is sufficient to answer the question while data in statement I is not
Find the median of the following data.
7, 19, 88, 20, 19, 26, 90, 81, 44, 34.
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Correct answer: (A) 30
If a constant force acts on two objects of different masses, which statement best
describes their acceleration according to the second law of motion?
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Correct answer: (D) The object with smaller mass will have greater acceleration.
A solar cooker uses a mirror to concentrate sunlight onto a vessel. Which type of mirror
is used and what property makes it suitable?
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Correct answer: (B) A concave mirror because it focuses parallel sunlight to a single point
A trader gives 10% discount on the marked price of an article and gives 40 articles free
for buying 112 articles and gains 26% in the entire transaction. Assuming a customer
pays for 112 articles, the marked price of an article is what percentage more than its
cost price?
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Correct answer: (A) 90%
The average of the first 18 positive multiples of 9 is:
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Correct answer: (C) 85.5
In what ratio should sugar costing ₹38 per kg be mixed with sugar costing ₹55 per kg so
that by selling the mixture at ₹57.20 per kg, there is a profit of 10%?
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Correct answer: (A) 3 : 14
Bee-keeping is suitable as an additional income because it:
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Correct answer: (A) Requires low investment
How to use these RRB JE Mathematics questions
Every question here was asked in a real RRB JE paper; the paper and shift are shown on the card, and the number opens the question on its own page. Try each one before tapping Show answer, then attempt the full RRB JE papers as timed tests to check your speed under exam conditions.