All 100 questions of RRB JE CBT-1 PYQ 18 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.
A man sold an article for ₹360 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 ₹2250, then what is the value of d?
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 ::?
# : UOK :: HBX : %
119 is related to 205 following a certain logic. Following the same logic, 145 is related to 231. To which of the given options is 132 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
A and B can do a piece of work in 2 days and 42 days, respectively. The number of days [Correct to one decimal place] required to complete the work if both A and B work together is:
In a certain code language,
'A + B means ‘A is the son of B’,
'A − B means ‘A is the brother of B’,
'A × B means ‘A is the wife of B’ and
'A ÷ B means ‘A is the father of B’.
How is S related to H if ‘S + D × F ÷ G − H’?
If the distance between A and B is 530 Km. From A, Namit goes to B with speed 37 km/h and return to A with the speed 77 km/h. Find the average speed of Namit.(rounded off to two decimal place)
Where did Dr. Jitendra Singh, Union Minister of State for Science and Technology, inaugurate India’s first Demonstration Facility for Biopolymers in October 2024?
A solution has a pH of 8. If it is diluted with an equal volume of water, what will happen to its pH?
AThe pH will decrease.
BThe pH will increase.
CThe pH will remain the same.
DIt will become neutral.
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Correct answer: (D) It will become neutral.
Explanation
Official answer key: (4) It will become neutral.
Correct answer should be (1) The pH will decrease. Diluting a basic solution (pH 8) with an equal volume of water halves [OH⁻], so the pH falls to about 7.7. It moves towards 7 but does not become exactly neutral.
Scoring follows the official key.
Which of the following articles deals with elections to the House of the People and to the legislative assemblies of state to be on the basis of adult suffrage?
Twelve years ago, the age of Reena's mother was three times the age of Reena. Two years hence, the mother's age will be 2 times the age of Reena. Find the ratio of the present ages of Reena and her mother.
Select the pair which follows the same pattern as that followed by the two set of pairs given below. Both pairs follow the same pattern.
PMN : RPI
VHS : XKN
B, C, E, F and H have different heights. Only C is taller than B. E is taller than H. Only two people have heights between F and C. How many people have heights between H and B?
Which of the following Constitutional amendments inserts the Special officer for linguistic minorities, who is known as the Commissioner for Linguistic Minorities in India (CLM), to investigate all the matters relating to the safeguards provided for the linguistic minorities in India under the Constitution and report to the President?
In a certain code language,
'pillow blanket bed’ is coded as ‘ma ph st’,
‘bed window door’ is coded as ‘cd le ma’ and
‘door pillow wall’ is coded as ‘st bq cd’.
(All the codes are two-letter codes only.)
What is the code for 'wall' in that language?
Two taps can fill a cistern in 2 hours and 51 hours respectively. A third tap can empty it in 51 hours. How long (in hours) will it take to fill the empty cistern, if all of them are opened together?
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) D sits second to the right of C.
(II) Exactly two people sit between B and D.
ABoth Statements I and II put together are not sufficient to answer the question.
BData in Statement I alone is sufficient to answer the question, while data in Statement II is not.
CData in Statement II alone is sufficient to answer the question, while data in Statement I is not.
DBoth Statements I and II put together (and not independently) are sufficient to answer the question.
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Correct answer: (A) Both Statements I and II put together are not sufficient to answer the question.
Seven boxes, A, B, C, D, X, Y and Z, are kept one over the other but not necessarily in the same order. Only three boxes are kept above B. Only one box is kept between C and B. Only three boxes are kept between C and Y. Y is kept at some place above B. Z is kept immediately below Y. A is kept at one of the places above X. D is not kept immediately above or below C. Which box is kept at the lowermost position?
Seven people, B, D, E, F, P, Q and R, are sitting in a row, facing north. Only three people sit between R and E. F sits to the immediate left of E. No one sits to the right of B. Only two people sit between B and F. P sits to the immediate right of Q.
How many people sit between D and P?
A, B and C invest sum in the ratio 76 : 37 : 52 respectively. If they earned total profit of ₹3850 at the end of year, then what is the difference between share of B and C?
Refer to the given number, symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) $ 7 & 4 2 & % 4 6 @ 8 Ω 9 # 6 * £ 5 = 2 (Right)
How many such symbols are there each of which is immediately preceded by an odd number and immediately followed by an even number?
5 is related to 26 following a certain logic. Following the same logic, 12 is related to 145. To which of the following is 13 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting /multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) 5 # * 7 9 % 2 & 1 > 6 @ 3 ^ 4 $ > 8 (Right)
How many such number are there which are immediately preceded by a number and also immediately followed by another number?
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.)
A trader claims to sell flour at a profit of 35%, but also dishonestly uses a weight which is 16% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round the answer to the nearest whole number.)
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 7381564, how many digits will appear more than once in the new number thus formed?
Pankaj starts from Point A and drives 12 km towards east. He then takes a left turn, drives 18 km, turns left and drives 19 km. He then takes a left turn and drives 21 km. He takes a final left turn, drives 7 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.)
Which two numbers should be interchanged to make the following equation correct? 58 + (36× 4)÷ 3 + 6× 8 −12 = 86
(Note: Interchange should be done of the entire number and not individual digits of a given number.)
In a certain code language,
‘mountains hills rocks’ is coded as ‘dy ph mt’,
‘rocks valleys rivers’ is coded as ‘lp ph st’ and
‘rivers mountains forests’ is coded as ‘st bq dy’.
(All the codes are two-letter codes only.)
What is the code for 'valleys' in that language?
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.)
The Citizenship Amendment Act was enacted in 2019 and was operationalised after the rules for it were notified by the Ministry of Home Affairs on _______.
G, H, I, J, K, L and M live on seven 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 7. H lives on an even numbered floor but not on the second floor. Only three people live between H and M. J lives on one of the floors below H but immediately above M. G lives on one of floors below J. Only three people live between G and K. L lives on one of the floors above J but below I. Who lives on the fifth floor?
The sirens of three companies sound together initially and then continue to sound at intervals of 12 minutes, 16 minutes, and 20 minutes, respectively. Over a period of 16 hours and 12 minutes from the time they first sound together, how many times will they sound simultaneously?
The greatest common divisor (GCD) and least common multiple (LCM) of two numbers are 12 and 480, respectively, and the numbers are in the ratio of 5 : 8. Find the difference between the two numbers.
If the average of 9 numbers is 17 and one number is removed, the average of the remaining 8 numbers becomes 15. What is the value of the removed number?
Consider a pencil dipped in water in a glass beaker. If the water is replaced by kerosene or turpentine, will the pencil appear displaced to the same extent?
AYes, the displacement will be the same.
BYes, it will be more displaced than in water.
CNo, the displacement will vary.
DNo, the pencil will appear straight.
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Correct answer: (D) No, the pencil will appear straight.
Explanation
Official answer key: (4) No, the pencil will appear straight.
Correct answer should be (3) No, the displacement will vary. Kerosene (n ≈ 1.44) and turpentine (n ≈ 1.47) have different refractive indices from water (n ≈ 1.33), so the pencil still looks bent, by a different amount (NCERT Class 10 activity).
Scoring follows the official key.
In △ABC, DE ∥ AC, where D and E are the points on sides AB and BC, respectively. If BD = 8 cm and AD = 7 cm, then what is the ratio of the area of △BDE to the trapezium ADEC?
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 :: ?
# : NJR :: OKS : %