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.
Which of the following arrangements produces a nearly uniform magnetic field in the
central region of a circular current-carrying system under steady conditions?
AUsing loops of varying radii
BUsing multiple closely wound turns of identical radius with constant current
CArranging loops in random orientations
DAllowing current to vary with time in a single loop
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Correct answer: (B) Using multiple closely wound turns of identical radius with constant current
Rupesh has borrowed an amount of ₹4,40,000 from a bank to start a business. How
much simple interest (in ₹) will he pay at a rate of 7% per annum after 3 years?
The ratio of fare of a person between Auto and Bus is 2 : 3.5 and the ratio of number of
passengers travelled, on a particular day, by Auto and Bus is 4 : 7. By what fraction the
total fare collected by Auto on that particular day is less than the total fare collected by
Bus?
This question is based on the five, three-digit numbers given below.
(Left) 694 874 742 459 648 (Right)
(Example- 697 – First digit = 6, second digit = 9 and third digit = 7)
What will be the resultant if second digit of the highest number is added to the third
digit of lowest number?
If two cars start at the same point and move along a straight road, Car X at a constant
speed of 40 km/h and Car Y at a constant speed of 60 km/h, which statement correctly
compares their motions after 2 hours?
ACar Y will be 20 km ahead of Car X after 2 hours.
BCar Y will be 40 km ahead of Car X after 2 hours.
CCar X will be 40 km ahead of Car Y after 2 hours.
DBoth cars will have traveled the same distance after 2 hours.
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Correct answer: (B) Car Y will be 40 km ahead of Car X after 2 hours.
In covering a distance of 130 km, Amit takes 4 hours more than Vinay. If Amit doubles
his speed, then he would take 9 hour less than Vinay. Amit's original speed is:
Let C be a circle with centre O, and R be an external point to C. Let RP and RQ be two
tangents to circle C with P and Q being the points of tangency, respectively. If ∠PRQ =
60°, then find ∠POQ.
If at the same rate of interest, in 2 years, the simple interest is ₹48 and compound
interest, compounded annually, is ₹54, then what is the principal (in ₹)?
In this question, a group of number/symbol is coded using letter codes as per the codes
given below and the conditions which follow. The correct combination of codes
following the conditions is your answer. If none of the conditions follow, then codes for
the respective Number/Symbol to be followed directly as given in the table.
Number/symbol
2
@9
5
$
3
&
%
#
7
+
4
8
6
Code
P
T
L
J
A
WE
Q
D
R
S
B
U
F
Conditions –
If the first element is a number and the last a symbol, the codes for these two (the first
and the last elements) are to be interchanged.
If the first element is an odd number and the last an even number, the first and last
elements are to be coded as *
If both second and third elements are perfect squares, the third element is to be coded
as the code for the second element.
What will be the code for the following group of number-symbol?
537+
A man bought two types of sharpeners, one at ₹18 for 9 sharpeners and the other at ₹8
per sharpener. He purchased an equal number of each type and sold all the sharpeners
at ₹8 per piece. Find his percentage profit.
Mr. Madan got 9 out of 10 marks in English, 15 out of 16 in life sciences and the ratio of
the percentage of his marks in English and Mathematics is 15: 16. If the total marks of
Mathematics are 20, then find the difference of the percentage of his marks in
Mathematics and life sciences.
A tap can fill a cistern in 27 hours, while another tap can empty the full cistern in 36
hours. If the cistern is initially empty and both taps are opened together, find the time
(in hours) required to fill one-fourth of the cistern.
Mahesh has borrowed an amount of ₹4,40,000 from a bank to start a business. How
much simple interest (in ₹) will he pay at a rate of 6% per annum after 4 years?
X people were given a contract for doing a piece of work in 32 days. 8 people did not
turn up to work due to sickness, and the rest of the people completed the work in 40
days. What is the value of X?
Ajay can row at 4.5 km/h in still water. It takes him twice the time to row up as it takes
for him to row down the same distance. Find the speed of the stream (in km/h).
A physicist uses a convex lens to focus sunlight onto a piece of paper and notices the
smallest, brightest spot forms at a certain distance from the lens. Which property of the
lens does this experiment help to determine?
AThe experiment helps to determine the principal axis of the lens.
BThe experiment helps to determine the optical center of the lens.
CThe experiment helps to determine the diameter of the lens.
DThe experiment helps to determine the focal length of the lens.
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Correct answer: (D) The experiment helps to determine the focal length of the lens.
From the top of a cliff the angle of depression of a point on the ground 240 feet away
from the bottom of the cliff is 30°. Find the height of the cliff (in feet, rounded off to the
nearest integer).
(Use √3 = 1.732)
A shopkeeper marks an article at ₹x and offers a discount of 50% on it. He sells it for
₹287 after charging VAT of 64% on the discounted price. What is the value of x?
Girish scored 459 marks in an examination and was 81 marks short of 20% of the
maximum marks. In the same examination, his friend scored 756 marks. What is the
percentage of marks scored by his friend?
The difference between simple interest and compound interest, compounded annually,
on a certain sum of money for 2 years at 11% per annum is ₹371. Find the sum. [Give
your answer rounded off to the nearest integer.]
If a material has an absolute refractive index of 1.7, what does this imply about the
speed of light in that material compared to vacuum?
ALight travels 1.7 times faster in the material than in vacuum.
BLight travels at the same speed in both.
CThe speed difference cannot be determined from this value.
DLight travels 1.7 times slower in the material than in vacuum.
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Correct answer: (D) Light travels 1.7 times slower in the material than in vacuum.
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.