RRB JE 31st May 2019 Shift-1

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For the following questions answer them individually
RRB JE 31st May 2019 Shift-1 - Question 4

Express the the following expression in terms of partial fraction :
$$ \frac{X}{(X+1)^2} $$ 

RRB JE 31st May 2019 Shift-1 - Question 5

Three 2 V cells are connected in series and used as a battery in a circuit. What is the potential difference at the terminals of the battery?

RRB JE 31st May 2019 Shift-1 - Question 6

Which colour among the seven colours of the white light gets most deviated after dispersion of light through a glass prism?

RRB JE 31st May 2019 Shift-1 - Question 12

Evaluate: $$ \left(\frac{ sin  47^\circ  } {cos  43^\circ}\right)^2   + \left(\frac{ cos  43^\circ  } {sin  47^\circ}\right)^2 -  4cos^2 45^\circ   $$

RRB JE 31st May 2019 Shift-1 - Question 15

Pooja's age 4 years back and Deepa's age after 4 years are equal. The ratio of Pooja's age 4 years hence and Deepa's age 4 years before is 3 : 1. What is the ratio of their present ages?

RRB JE 31st May 2019 Shift-1 - Question 17

Vijayan started walking towards south. After walking 15 m, he turned left and walked 15 m. He again turned left and walked 15 m. How far and in which direction is he from his starting point?

RRB JE 31st May 2019 Shift-1 - Question 19

Which of the following form a set of homologous series?

RRB JE 31st May 2019 Shift-1 - Question 20

If 'sti nro kti' stands for 'clouds pour down', 'nro bsi mit' stands for 'down he goes', and 'bsi nro zpi' stands for 'died down he', which word would mean 'goes'?

RRB JE 31st May 2019 Shift-1 - Question 29

Two tables are bought for Rs.2000 by a person. He sells them later, one at a loss of 5%, the other at a gain of 5% thereby incurring a loss of Rs.20. What are the cost prices of the two tables?

RRB JE 31st May 2019 Shift-1 - Question 33

A certain sum invested for T years at 10% per annum Simple Interest amounts to Rs.400. The amount gets halved when the interest comes down to 4% per annum, the principal and time being the same. What is the principal and value of T?

RRB JE 31st May 2019 Shift-1 - Question 38

The frictional force on an object in a fluid depends on what?

RRB JE 31st May 2019 Shift-1 - Question 43

After completing a work together in 2 days, P and Q received Rs.1200 and Rs.400 respectively as wages. In how many days will Q alone complete the work?

RRB JE 31st May 2019 Shift-1 - Question 48

In this question, a statement is given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statement:
Video-libraries are flourishing very much these days.
Conclusions:
I. People in general have got a video craze.
II. It is much cheaper to see as many movies as one likes on videos rather than going to the cinema hall.

RRB JE 31st May 2019 Shift-1 - Question 51

A sum of money amounts to Rs.9800 in 5 years and Rs.12005 in 8 years at the same rate of simple interest. What is the rate of interest?

RRB JE 31st May 2019 Shift-1 - Question 52

Mohan started from point A and proceeded 7 km straight towards east, then he turned left and proceeded straight for a distance of 10 km. He then turned left again and proceeded straight for a distance of 6 km, and then turned left again and proceeded straight for another 10 km. How far and in which direction is he from the point A?

RRB JE 31st May 2019 Shift-1 - Question 54

Two varieties of rice each costing Rs.50 per kg and Rs.60 per kg respectively are mixed in some ratio, and the mixed rice is sold at Rs.70 per kg, so as to get 20% profit. What is the ratio in which the two varieties are mixed?

RRB JE 31st May 2019 Shift-1 - Question 55

In this question, two statements are given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statements:
1) All colours are pants.
2) All pants are brushes.
Conclusions:
I. Some brushes are pants.
II. Some brushes are colours.

RRB JE 31st May 2019 Shift-1 - Question 56

Simplify: $$ \frac{sin  \theta - 2 sin ^ 3 \theta}{ 2  cos ^3 \theta  -  cos \theta} $$

RRB JE 31st May 2019 Shift-1 - Question 67

The base of a right pyramid is a square of side 24 cm and height of the pyramid is 16 cm. What is its lateral surface area?

RRB JE 31st May 2019 Shift-1 - Question 68

Find the area of a parallelogram with base 48 cm and height 32 cm.

RRB JE 31st May 2019 Shift-1 - Question 69

P can complete a work in 6 days. Working with the help of Q, the job is completed in 7 days. If P starts the work and P and Q work on alternate days, in how many days can Q alone complete the job?

RRB JE 31st May 2019 Shift-1 - Question 70

A circular wire of radius 7cm is bent to form a rectangle whose sides are in the ratio 4 : 7 what is the area of the rectangle so formed?

RRB JE 31st May 2019 Shift-1 - Question 71

When the digits of a two-digit number are reversed, the value of the number is increased by 45. The sum of the digits is 11. What is the original number?

RRB JE 31st May 2019 Shift-1 - Question 73

Read the following information carefully and answer the question given below.

Eight captains of different volleyball teams—Iran, Germany, Romania, Serbia, Tunisia, China, Brazil and Cuba are sitting around a circular table and are facing the centre, but not necessarily in the same order. Romanian captain sits third to the left of the Tunisian captain. Only two people sit between the Iran captain and Brazil captain. Neither the Iran captain nor Brazil captain is an immediate neighbour of the Romanian captain. The captain of Cuba sits second to the right of the China captain. China captain is not an immediate neighbour of the Romanian captain. The Iran captain sits third to the left of the Romanian captain. Captains of Serbia and Germany are not immediate neighbours. Serbia captain sits third to the left of the China captain.

How many persons are sitting between the captain of China and Romania in clockwise direction?

RRB JE 31st May 2019 Shift-1 - Question 74

To row a certain distance upstream and downstreamtakes $$t_1$$ hours and $$t_2$$ hours respectively and speed of stream is 'y' km/h. Find speed
in still water.

RRB JE 31st May 2019 Shift-1 - Question 79

Which of the following statements is FALSE?
1. The object is always placed to the left of the spherical mirror.
2. All distances parallel to principal axis are measured from pole of the mirror.
3. All distances measured to the right of the origin are taken as negative.
4. Distances measured perpendicular to and above the principal axis are taken as positive.

RRB JE 31st May 2019 Shift-1 - Question 81

In this question, a statement is given followed by four conclusions. Choose the conclusion(s) which best fit(s) logically.

Statement:
In the university examination, most of the candidates take exam in Hindi medium.
Conclusions:
I. Some candidates take exam in Hindi.
II. Most of the candidates appeared for the examination are from Hindi medium.
III. In this examination no candidate writes answers in medium other than Hindi.
IV. All the candidates who appear in this examination write answers in Hindi.

RRB JE 31st May 2019 Shift-1 - Question 83

What is the name given to the phenomenon of throwing light in various random directions ?

RRB JE 31st May 2019 Shift-1 - Question 87

Read the following information carefully and answer the question given below.
Eight students—S, T, U, V, W, X, Y and Z are sitting around a circle facing the center. S is second to the right of Y who is third to the right of T. V is second to the left of X who sits between Y and S. U is not a neighbour of T or W.
Who is to the immediate left of U?

RRB JE 31st May 2019 Shift-1 - Question 90

When copper oxide is heated with hydrogen, copper metal and water are formed. What happens to the copper oxide in this reaction?

RRB JE 31st May 2019 Shift-1 - Question 91

After spending 30% of his salary, a man had Rs.2100 left. From the remaining amount, he spent 15% on minor repairs. What are his savings?

RRB JE 31st May 2019 Shift-1 - Question 93

Find the value of $$ tan^2 60^\circ - 2 tan^2 45^\circ - cot^2 30^\circ + 2 sin^2 30^\circ + 3/4 cosec^2 45^\circ $$

RRB JE 31st May 2019 Shift-1 - Question 94

In a two-digit number, the digit in the unit's place is four times the digit in ten's place and sum of the digits is equal to 10. Find the number.

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