Evaluate: 16 + 18 ÷ 3 - 3 × 3
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Correct answer: (A) 13
RRB JE · Topic-wise previous year questions
Mathematics Previous Year Questions (page 6)
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
If sinθ = 12/13, then what is the value of 26 sinθ − 10 secθ?
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Correct answer: (D) −2
If the radius of a hemisphere is increased by 50%, then find the percentage increase in the volume. (Take π = 22/7)
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Correct answer: (C) 125%
Explanation
Official answer key: (3) 125% Correct answer should be 237.5% (not in the options). Volume of a hemisphere = (2/3)πr³, so when r becomes 1.5r the volume becomes 1.5³ = 3.375 times, an increase of 237.5%. 125% is the increase in the curved surface area (1.5² = 2.25 times), not the volume. Scoring follows the official key.
Sangeeta and Hemlata invest in a business in the ratio 1 : 3. If total profit is Rs. 2568, then what is difference between the profit (in Rs.) of Sangeeta and Hemlata?
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Correct answer: (B) 1284
The length of each of the two equal sides of an isosceles triangle is 89 cm each and the length of its base is 78 cm. The area (in cm²) of the triangle is:
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Correct answer: (A) 3120
If the interest earned during the 2nd year on a certain sum is ₹9911, and the rate of interest is 10% per annum compounded annually, then the sum is:
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Correct answer: (A) ₹90100
By selling an article at 2/5 of its actual selling price, Manav incurs a loss of 27%. If he sells it at 84% of its actual selling price, then the profit percentage is:
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Correct answer: (D) 53.3%
Aman completes his journey in 14 hours. He covers half the distance at 39 km/h and the rest at 45 km/h. What is the length of the journey (in Km)?
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Correct answer: (D) 585
A number when increased by 50 %', gives 3030. The number is:
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Correct answer: (C) 2020
A wire has a resistance of R. If its length is increased by a factor of 8 and its cross-sectional area is decreased by a factor of 4, what is its new resistance (R')?
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Correct answer: (C) R' = 32 R
The average marks of a student in six subjects is 94. After re-evaluation in three subjects the marks were changed to 89 from 75, 90 from 82 and 88 from 80. In the remaining subjects, the marks remained unchanged. Find the new average marks.
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Correct answer: (A) 99
If the mean of the following data is 37, then the value of X is:
xᵢ: 20, 30, 40, 85
fᵢ: 19, X, 13, 24
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Correct answer: (A) 124
Manyakheta was the capital of which of following dynasties during the eighth century AD?
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Correct answer: (B) Rashtrakuta
Refer to the given number, symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) 7 5 ^ 5 + % 5 6 $ 2 3 * 6 + 3 & 4 ? $ # 6 1 2 3 & 6 3 % @ (Right)
How many such symbols are there each of which is immediately preceded by a number and immediately followed by another symbol?
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Correct answer: (D) 3
A shopkeeper bought an article for ₹760. At what price (in ₹) should he sell the article to make 30% profit?
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Correct answer: (B) 988
Two numbers are in the ratio 7 : 5. If the first number is increased by 14 and the second number is decreased by 5, then the ratio becomes 4 : 2. What is the sum of the original two numbers?
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Correct answer: (A) 96
The cost of a washing machine is 40% less than the cost of a TV. If the cost of the washing machine increases by 64% and that of the TV decreases by 20%, then what is the change in the total cost of 5 washing machines and 7 TVs?
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Correct answer: (C) Increase by 5.2%
A man sold an article for ₹390 by first giving a d% discount on its marked price, and then another discount having the same nominal value (in ₹). If the marked price of the article is ₹3900, then what is the value of d?
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Correct answer: (A) 45
If 214 apples were distributed among Ajay, Amit, and Amar in the ratio 1/5 : 1/7 : 1/6, how many apples did the Amar get?
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Correct answer: (B) 70
Match the following:
Column A:
1. Marginal Efficiency of Capital
2. Autonomous Investment
3. Consumption Function
4. Paradox of Thrift
5. Cyclical Unemployment
Column B:
A. Spending on consumer goods
B. Tendency for employment to fluctuate
C. Expected rate of return on investment
D. Investment independent of income
E. Increased saving reduces total demand
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Correct answer: (A) 1 - C, 2 - D, 3 - A, 4 - E, 5 - B
44 men can do a piece of work in 48 days. The number of men required to complete the same work in 8 days is:
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Correct answer: (B) 264
PN is a secant intersecting a circle at points M and N such that PN > PM. A tangent PT is drawn to the circle touching it at T. If PM = 32 cm and PT = 40 cm, what is the length (in cm) of the chord MN?
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Correct answer: (D) 18
What will come in the place of the question mark (?) in the following equation if ‘÷’ and ‘−' are interchanged and ‘+’ and ‘×’ are interchanged?
10 + 52 − 13 × 4 ÷ 18 = ?
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Correct answer: (B) 26
The average price of three items of furniture is Rs 16845. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
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Correct answer: (D) 10107
If a 1352 m long train crosses a pole in 169 seconds, then find the time (in seconds) taken by the train to cross a 256 m long platform.
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Correct answer: (C) 201
Rashi wants to make compost for her kitchen garden. She plans to use kitchen wastes. Which set of articles is best suited for her work?
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Correct answer: (A) Peels of fruits, leftover vegetables, paper, torn cotton clothes.
If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then what will be come in place of the question mark (?) in the following equation?
13 D 32 C 36 B 49 A 49 = ?
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Correct answer: (D) 17
What is the average of all the natural numbers from 1 to 87?
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Correct answer: (D) 44
Evaluate 184²
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Correct answer: (B) 33856
In a redox reaction, reduction can be described as:
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Correct answer: (B) addition of hydrogen
Among five people named A, B, C, D and E, each has a certain age. D is four times the age of C. A is two times the age of C. D is five times the age of B. The age of B is 12. If E is thrice the age of A, what is the age of E?
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Correct answer: (A) 90
Which of the following options represents the correct Lewis structure for methane (CH₄)?
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Correct answer: (A) A carbon atom bonded to four hydrogen atoms with single bonds
A and B complete a work in 17 days. If A alone can do it in 34 days then, B alone can do in______________(days).
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Correct answer: (C) 34
If a wire is stretched to quadruple its length without changing its area, what will happen to its resistivity?
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Correct answer: (C) It remains the same.
Find the simple interest (in closest integral ₹) on ₹3000 at 8% per annum rate of interest for the period from 22 February 2024 to 23 April 2024
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Correct answer: (A) 40
Evaluate: 16 + 18 ÷ 6 - 2 × 3
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Correct answer: (B) 13
The marks scored by 10 students are given below.
14, 15, 16, 17, 10, 17, 19, 13, 14, 14
The mode of the data is:
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Correct answer: (D) 14
Express the value of 35.63 − 47.058 + 10.36 − 24.28 + 5.316 × 5 as a vulgar fraction.
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Correct answer: (B) 1 29/125
Find the value of cos35°/sin55° − sin11°/cos79° + cos28° cosec62° + cos0°.
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Correct answer: (C) 2
According to the Annual Report 2019-20 of the Ministry of Textiles, India's textile industry contributes what percentage to the industry output, in value terms?
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Correct answer: (D) 7%
If the three angles of a quadrilateral are 70°, 85° and 95°, then find the fourth angle.
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Correct answer: (C) 110°
Evaluate: 16 + 16 ÷ 4 - 3 × 3
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Correct answer: (C) 11
Find the median of the data given below.
180, 90, 134, 68, 52, 152, 88, 110
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Correct answer: (C) 100
A man sold an article for ₹346 by first giving a d% discount on its marked price, and then another discount having the same nominal value (in ₹). If the marked price of the article is ₹1730, then what is the value of d?
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Correct answer: (C) 40
Find the value of K²− 3K, for which the number 58K764 is divisible by 11.
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Correct answer: (A) 40
(1 + sinA)(1 – sinA)(1 + tan²A) is equal to:
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Correct answer: (C) 1
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 and select the most appropriate answer.
Question:
Five friends, S, T, U, V and W, are of different ages. Who is the second eldest among them?
Statements:
(I) W is younger than T. W is elder than U.
(II) T is the eldest. Only one person is younger than V.
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Correct answer: (D) Data in statement II alone is sufficient to answer the question while data in statement I is not.
Explanation
Official answer key: (4) Data in statement II alone is sufficient to answer the question while data in statement I is not. Correct answer should be (1) Data in statements I and II together are not sufficient. From II, T is the eldest and V is 4th. From I, W is older than U. The 2nd, 3rd and 5th places can be W-S-U, W-U-S or S-W-U, so the second eldest (W or S) cannot be fixed. Scoring follows the official key.
Which of the following articles deal with the provisions regarding the election, qualification, and removal of the Vice-President of India?
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Correct answer: (B) Article 63 - 71
A number when increased by 50 %', gives 2820. The number is:
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Correct answer: (C) 1880
The length of each of the two equal sides of an isosceles triangle is 100 cm each and the length of its base is 56 cm. The area (in cm²) of the triangle is:
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Correct answer: (B) 2688
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.