19th February Shift 3 — RRB JE PYQ

100 Questions • 90 Minutes • PYQ Mock Test in Hindi and English

Sample Questions from this Test

Question 1:

Each of C, D, E, F, X, Y and Z has an exam on a different day of a week starting from Monday and ending on Sunday of the same week.
Only two people have exams before D. Only one person has exam after C. Only three people have exams between D and Z. Only one person has exam between X and Y. F has exam immediately before X.
How many people have exam(s) between E and X''?'
A.One
B.Two
C.Four
D.Three

1. D is third because two exams are before D; C is sixth because one exam is after C; Z is seventh because three exams are between D and Z.
2. F is immediately before X and X has one person between it and Y. The remaining positions force two exams between E and X.

• Exam Trick: Fix the definite positions first, then place the F-X and X-Y pairs.

• Final Answer: Two

Question 2:

The LCM of 53×82×125^3\times8^2\times12, 52×122×165^2\times12^2\times16 and 83×122×1628^3\times12^2\times16^2 is:
A.221×32×532^{21}\times3^2\times5^3
B.219×32×532^{19}\times3^2\times5^3
C.220×32×532^{20}\times3^2\times5^3
D.222×32×532^{22}\times3^2\times5^3

1. 53×82×125^3\times8^2\times12, 52×122×165^2\times12^2\times16 and 83×122×1628^3\times12^2\times16^2 are written in prime factors.
2. The maximum exponents are 2212^{21}, 323^2 and 535^3.
3. Therefore LCM =221×32×53=2^{21}\times3^2\times5^3.

• Shortcut/Exam Trick: LCM में हर prime का maximum exponent लें.

Question 3:

Find the discriminant of the equation x−3x−4+x−6x−5=52\frac{x-3}{x-4}+\frac{x-6}{x-5}=\frac{5}{2}.
A.−6-6
B.66
C.77
D.−7-7

1. Multiply by 2(x−4)(x−5)2(x-4)(x-5): 2[(x−3)(x−5)+(x−6)(x−4)]=5(x−4)(x−5)2[(x-3)(x-5)+(x-6)(x-4)]=5(x-4)(x-5).
2. Expanding gives 4x2−36x+78=5x2−45x+1004x^2-36x+78=5x^2-45x+100, so x2−9x+22=0x^2-9x+22=0.
3. Discriminant D=b2−4ac=(−9)2−4(1)(22)=81−88=−7D=b^2-4ac=(-9)^2-4(1)(22)=81-88=-7.

• Shortcut/Exam Trick: After obtaining ax2+bx+c=0ax^2+bx+c=0, use D=b2−4acD=b^2-4ac directly.

Question 4:

Meena, Sunita, Kavita, Rina and Priti have different heights. Only two people are shorter than Kavita. Rina is taller than Priti but shorter than Sunita. Meena is the tallest.
Who is the shortest''?'
A.Sunita
B.Rina
C.Meena
D.Priti

1. Kavita has only two people shorter than her, so she is third from the bottom. Meena is tallest.
2. Rina is taller than Priti but shorter than Sunita, giving Sunita > Rina > Priti. Hence Priti is shortest.

• Exam Trick: Turn every inequality into a single ranking chain.

• Final Answer: Priti

Question 5:

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'?'
A.It varies with the normal.
B.It depends on the type of mirror.
C.It remains constant.
D.It changes with the angle of incidence.

• Key Fact: For a fixed colour and pair of media, sin⁡isin⁡r\frac{\sin i}{\sin r} remains constant.

• Supporting Detail: Snell's law connects incidence and refraction through refractive indices.

• Related Concept: The other options refer to different facts or do not satisfy the stated condition.

• Why wrong options are wrong: Options other than the marked answer do not match the question's condition.

• Exam Trick: Remember: fixed media + fixed colour = constant sine ratio.

• Additional Info: Focus on the exact keyword tested in the question.

Question 6:

What is the volume (in cm3\text{cm}^3) of a solid sphere whose radius is 2.1 cm (rounded off to two decimal places)''?' (Use π=227\pi=\frac{22}{7})
A.36.80
B.38.81
C.32.80
D.34.81

1. V=43πr3V=\frac43\pi r^3 with r=2.1r=2.1 cm.
2. Using π=227\pi=\frac{22}{7} gives V≈38.81 cm3V\approx38.81\text{ cm}^3.

• Shortcut/Exam Trick: Use the sphere formula directly and keep units in cm3\text{cm}^3.

Question 7:

Kartik starts from Point A and drives 11 km towards east. He then takes a right turn, drives 5 km, turns right and drives 14 km. He then takes a right turn and drives 11 km. He takes a final right turn, drives 3 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 degree turns only unless specified.)
A.7 km to the south
B.7 km to the north
C.6 km to the north
D.6 km to the south

1. Follow the 90° turns and resolve the final position relative to A.
2. The supplied answer-key marks option 4, 6 km to the south; this source-marked answer is retained.

• Exam Trick: Draw a compass and track horizontal/vertical displacement separately.

• Final Answer: 6 km to the south

Question 8:

Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.)
(24, 8, 96)
(28, 7, 98)
A.(48, 8, 144)
B.(52, 4, 102)
C.(44, 6, 134)
D.(32, 6, 96)

1. The source answer-key marks option 4, (32, 6, 96), as the matching set.
2. Use operations on whole numbers as instructed in the question.

• Exam Trick: Do not split numbers into digits.

• Final Answer: (32, 6, 96)

Question 9:

Refer to the following letter and symbol series and answer the question that follows.
Counting to be done from left to right only.
(Left) D K & Ω # E S Y C + * A B @ R T % U $ £ Q G (Right)
How many such letters are there each of which is immediately preceded by another letter and also immediately followed by a symbol''?'
A.3
B.5
C.4
D.6

1. A qualifying letter must have a letter immediately before it and a symbol immediately after it.
2. Scanning left to right gives four qualifying letters.

• Exam Trick: Check only immediate neighbours.

• Final Answer: Four

Question 10:

An individual who is not a member of either House of Parliament may be appointed to the Council of Ministers; however, they must become a member of either House within a specified time frame of:
A.03 Months
B.09 Months
C.12 Months
D.06 Months

• Key Fact: The supplied answer-key marks 06 Months as correct.

• Supporting Detail: The question tests the specific concept named in the topic.

• Related Concept: Other options are not the source-marked answer.

• Why wrong options are wrong: The other options do not satisfy the stated condition or refer to a different concept.

• Exam Trick: Remember the exact keyword and answer pairing.

• Additional Info: Focus on the exact keyword tested in the question.

+ 90 more questions inside...