All 100 questions of RRB JE CBT-1 PYQ 16 Dec 2024, Shift 2 (12:45 PM) with the correct answer from the official answer key and a solution. Read them free on UTpaper, or attempt the paper as a timed online test.
Pratap starts from Point A and drives 16 km towards south. He then takes a right turn, drives 13 km, turns right and drives 18 km. He then takes a right turn and drives 18 km. He takes a final right turn, drives 2 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
If the radius of a hemisphere is increased by 50%, then find the percentage increase in the volume. (Take π = 22/7)
A112.5%
B150%
C125%
D137.5%
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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?
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:
Select the option in which the numbers share the same relationship as that shared by the given pairs of numbers.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 18, 111
13, 81
The potential difference, V, across the ends of a given metallic wire in an electric circuit is directly proportional to the current flowing through it, provided its temperature remains the same. This is known as:
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:
Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
What is formed when ammonium dichromate is heated?
ANitrogen, oxygen and chromium oxide
BChromium oxide and water
CChromium and oxygen
DChromium oxide and nitrogen
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Correct answer: (A) Nitrogen, oxygen and chromium oxide
Explanation
Official answer key: (1) Nitrogen, oxygen and chromium oxide
Correct answer should be (4) Chromium oxide and nitrogen. (NH₄)₂Cr₂O₇ → Cr₂O₃ + N₂ + 4H₂O. No oxygen gas is released.
Scoring follows the official key.
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')?
A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question.
A, B, C, D and E are sitting in a straight line facing north. Who sits on the extreme left end?
(I) Exactly 2 people sit between A and E.
(II) Exactly 2 people sit between B and C.
AData in Statement II alone is sufficient to answer the question, while data in Statement I alone is not.
BBoth Statements I and II put together are not sufficient to answer the question.
CBoth Statements I and II put together (and not independently) are sufficient to answer the question.
DData in Statement I alone is sufficient to answer the question, while data in Statement II alone is not.
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Correct answer: (B) Both Statements I and II put together are not sufficient to answer the question.
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.
A, B, C, D, E and F live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 6. E lives on an even numbered floor but not 6. The sum of floors on which A and E live is 7. F lives immediately above B. The sum of floors on which E and D live is 3. How many people live between A and D?
What is the name of the Lunar Polar Exploration Mission, a collaboration with Japan's JAXA which was approved by India's National Space Commission in October 2024?
Select the letter-cluster pair that best represents a similar relationship to the one expressed in the pairs of letter-clusters given below.
OQP : PTO
VWV : WZU
Select the letter-cluster pair that best represents a similar relationship to the one expressed in the pairs of letter-clusters given below.
NGJ : OJE
MHK : NKF
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?
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?
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?
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?
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
A1 - C, 2 - D, 3 - A, 4 - E, 5 - B
B1 - E, 2 - D, 3 - A, 4 - C, 5 - B
C1 - B, 2 - D, 3 - A, 4 - E, 5 - C
D1 - A, 2 - D, 3 - C, 4 - E, 5 - B
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Correct answer: (A) 1 - C, 2 - D, 3 - A, 4 - E, 5 - B
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?
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.
Statements:
All ovals are bins. No bin is a car. No bin is a plum.
Conclusions:
(I): No oval is a car.
(II): Some plums are cars.
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 = ?
Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) 6 $ < 8 1 ^ 3 * 2 @ 7 # 4 & 5 % @ 9 (Right)
If all the symbols are dropped from the series, which of the following will be fifth from right?
In which of the following cases did the Supreme Court mention that the Fundamental Right to Primary Education is the Right to Life under Article 21 of the Indian
Constitution?
AP Sambamurthy vs Union of India
BUnni Krishnan vs State of Andhra Pradesh
CNavtej Singh Johar vs Union of India
DShreya Singhal vs Union of India
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Correct answer: (B) Unni Krishnan vs State of Andhra Pradesh
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
Mohan went to a cafe and ordered a soft drink. The waiter brought his order in a plastic glass with a plastic straw. Mohan, being environment friendly, is not happy as:
Aplastic glass and plastic straw spoils the taste of the drink
Bplastic glass and plastic straw is non biodegradable and persists in soil for a long time
Ca plastic glass and plastic straw does not add to the standard of the cafe
Dthe plastic glass and plastic straw were not of his favourite colour
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Correct answer: (B) plastic glass and plastic straw is non biodegradable and persists in soil for a long time
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 = ?
In a certain code,‘silence gold words’ is coded as ‘nu mh ke’,‘gold is precious’ is coded as ‘mh bi py’ and‘silence is calm’ is coded as ‘nu py gh’.What is the possible code for 'gold silence' in that language?
Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 12, 113
15, 140
L, K, M, N, O and P are sitting around a circular table facing the centre. L sits fourth to the right of O. M sits second to the left of L. N is not the immediate neighbour of M. K sits second to the right of N. How many people are sitting between P and N, when counted from the left of N?
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?
Consider a conductor in the plane of the paper with current going from bottom to the top. What will be the direction of the magnetic field lines to the left of the conductor?
AOpposite to the direction of the current.
BPerpendicular to the plane of the paper and going in.
CIn the direction of the current.
DPerpendicular to the plane of the paper and coming out.
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Correct answer: (D) Perpendicular to the plane of the paper and coming out.
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?
A, B, C, D, E, F and G live on seven different floors of the same building. The lowermost floor on the building is numbered 1, the floor above it, number 2 and so on, till the topmost floor is numbered 7. C lives on the sixth floor. Only three people live between C and F. A lives on an even numbered floor. D lives on one of the floors below B but immediately above F. E lives on one of the floors above C. Who lives on the lowermost floor?
Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of ::?
# : DHJ :: BFH : %