RRB JE 29th May 2019 Shift-3

For the following questions answer them individually

If $$x = a \sec \theta + b \tan \theta  and  y = a \tan \theta + b \sec \theta$$, then find $$x^2 - y^2$$.

A boy walks 2 km to the east and walks 2.5 km to the north. Again he turns to the east and walks 1.5 km. How far is he from the starting point ?

In this question, a statement is given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statement:
Company ABC has marketed the product. Go ahead, purchase it if price and quality are your considerations.
Conclusions:
I. The product must be good in quality.
II. The price of the product must be reasonable.

The Simple Interest and Compound Interest on a certain sum of money for two years are Rs.8400 and Rs.8652 respectively. Find the rate of interest.

Which of the following statements is/are CORRECT for carbon compounds?

P invests half as much as Q and Q puts in half as much as R in a business. If the monthly profit of Rs.7000 is shared between them, then what is the share of R ?

Two men walk along the same direction at 4.5 km/hr and 5.75 km/hr respectively. If they start walking together at their respective speeds, how many kilometres apart are they at the end of 3.5 hours?

In this question, statements are given followed by three conclusions. Choose the conclusion(s) which best fit(s) logically.

Statements:

$$O \geq T > W = G; D \leq T$$

Conclusions:

I. $$W > D$$

II. $$W < O$$

III. $$O \geq D$$

Arjun, Bharath and Chandru played a cricket match. The ratio of runs scored by Arjun and Bharath is 1 : 2 and the ratio of runs scored by Bharath and Chandru is 3 : 4. If together they score 204 runs, how many runs has Chandru made more than Arjun?

Read the following information carefully and answer the question given below.
Twelve people are sitting in two parallel rows containing six people each, in such a way that there is an equal distance between adjacent persons. In row-1, P, Q, R, S, T and V are seated, and all of them are facing south. In row-2, A, B, C, D, E and F are seated, and all of them are facing north. Therefore, in the given seating arrangement each member seated in a row faces another member of the other row. A sits third to the right of D. Neither A nor D sits at the extreme ends. T faces D. V does not face A, and V does not sit at any of the extreme ends. V is not an immediate neighbour of T. B sits at one of the extreme ends. Only two people sit between B and E. E does not face V. Two persons sit between R and Q. R is not an immediate neighbour of T. C does not face V. P is not an immediate neighbour of R.
How many members sit between T and S?

One should NOT sleep undera tree at night, because-

What was the theme of 'International Women's Day', 2019?

The ages of A, B and C are in the ratio 2 : 3 : 4. The sum of their ages is 108. What will be the ratio of their ages twelve years hence ?

Which of the following salts is used in the preparation of sodium hydroxide, baking soda, washing soda?

Rahim started from point X and walked straight 5 km west, then turned left and walked straight 2 km and again turned left and walked straight 7 km. In which direction is he from the point X?

A dilute ferrous sulphate solution was gradually added to the beaker containing acidified potassium permanganate solution. The light purple colour of the solution fades and finally disappears. Which of the following is the CORRECT explanation for the observation?

In a class $$\frac{3}{4}$$ of the students do not know either Hindi or English. $$\frac{1}{6}$$ of the students know English and $$\frac{1}{8}$$ of the students know Hindi. What part of the students know both English and Hindi?

A sum increases by 100% in 8 years at a certain rate of Simple Interest. What will be the Compound Interest on Rs.8000 after 2 years at the same rate of interest?

An incident ray makes an angle of $$30^\circ$$ with the surface of a plane mirror. What is the angle of reflection?

A square sheet of paper is folded into a cylinder by rolling along its side. What is the ratio of side of the square to the base radius of the cylinder ?

A, B and C can run around a circular path once in 252 seconds, 308 seconds and 198 seconds respectively. If they start running from a point simultaneously, after what time will they meet again at the starting point?

Which of the following decreases in moving from left to right along a period ?

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

During a vacation, a game is being played. For the game, 9 people from J to R (mix of boys and girls) have to stand in a vertical row. Boys are wearing black shoes and girls are wearing pink shoes. The row starts at top and with a pink shoe. Boys and girls stand alternately in the row. Each position in the row can be occupied by one person only.

i) J stands seven places before K.
ii) Third pink shoes is L.
iii) Second boy after L is M.
iv) Fourth place in the row is occupied by N.
v) O stands ahead of J.
vi) P stands between L and J.
vii) R is a girl.

Which of the following is a pair of girls ?

If $$\sin A = \frac{1}{2}$$ and $$A$$ and $$B$$ are complementary angles, then find the value of $$\sin (A - B)$$.

Father is aged 3 times more than his son. After 8 years, he would be 2.5 times his son's age. Further after 8 years, what would be the ratio of his age to that of his son?

Why are luggages fitted with rollers?

Ram cycles from a place A to B and again back to A at a uniform speed of 12 km/h. His friend Gopi sails on a boat from A to B and back to A where his still water speed is 10 km/h and flow of river is 4 km/h. Who will return to A first?

The refractive index of second medium with respect to the first medium $$n_{21}$$ is given by which formula?

In this question, two statements are given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statements:
1) All students are girls.
2) No girl is beautiful.
Conclusions:
I. Some students are beautiful.
II. No student is beautiful.

A situation marked by rising prices and stagnation in demand is known as-

Hari bought a cardboard for Rs.18000 and spent Rs.5000 on transport and Rs.2000 on labour. He made 500 boxes and sold them at Rs.60 per box. What was his profit percentage?

Which of the following two banks merger with Bank of Baroda was effective from 1 April 2019 ?

Srinivas can do a job in 15 days and Rameshcando the same job in 9 days. With the help of Ravi, they did the job in 3 days. In how many days can Ravi alone do the same job?

From a cube of side 6 cm, a hemisphere of maximum volume is scooped out. What is the remaining volume?

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