RRB JE 27th May 2019 Shift-1

For the following questions answer them individually

Fix the symbols $$+, -, \times, \div$$ appropriately in the box to fit the equation given here.

$$100 \Box 25 \Box 5 \Box 5 \Box 21 = 0$$

A heterogeneous mixture in which the solute particles do not dissolve but remain suspended throughout the bulk of the medium is known as-

Simplify: $$\frac{0.1 \times 0.1 + 0.2 \times 0.2}{0.3 \times 0.3 + 0.6 \times 0.6}$$

In the given figure, the circle represents editors, triangle represents directors, and rectangle represents singers. Which region represents the persons who are editors and singers but not directors ?

Due to which force does the moon move around the Earth in its near circular orbit?

In this question, statements are given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statements:
$$C > U \leq S < T = O > D \geq Y, Z = O \leq P$$
Conclusions:
I. $$Z > Y$$
II. $$C < O$$

P and Q can do a work in 12 days and 16 days respectively. P started the work alone. After how many days should Q join P, so that the work is finished in 9 days?

P and Q can complete a job in 12 days and 16 days respectively. They work together for 4 days. What portion of work is left for completion?

Find the ODD fraction.
$$\frac{18}{72}, \frac{24}{96}, \frac{51}{204}, \frac{108}{432}, \frac{18}{90}$$

Arun went to a nearby city at a speed of 25 km/h and returned at 20 km/h. If the total time for the trip was 1 hour 48 minutes, what is the distance of his place from the city?

What type of lines are represented by the equations $$6x - 3y + 10 = 0$$ and $$2x - y + 9 = 0$$ ?

Find $$\tan 75^\circ$$, by splitting $$75^\circ  as  (45^\circ + 30^\circ)$$.

What is the theme of 'National Girl Child Day', 2019?

6 men and 2 boys can do five times as much work as one man and one boy. Find the ratio of the working capacity of a man to that of a boy.

How does a lubricant reduces friction between moving parts of a machine?

Find the difference between the selling prices of two articles sold at 12.5% profit and 12.5% loss, if the cost price is Rs.400 each.

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

What is the relation between the frequency v andthe time period T of a sound wave?

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

Eight friends—J, K, L, M, N, O, P and Q are sitting around a circle facing the center. J is second to the right of P who is third to the right of K. M is second to the left of O who sits between P and J. L is not a neighbour of K or N.

Which of the following groups of persons have the first person sitting between the other two?

A policeman left his police post and proceeded south 4 km. Then he turned left proceeded 4 km to reach the point B. From B, he proceeded left to reach another place C which is 4 km away. In which direction has he to go to reach his police post?

Daughter's age is one-fourth of her father's age. Five years hence, she will be one-third of his age. Further after five years, what will be the ratio of her age to that of her father?

Who among the following was popularly known as the ‘Frontier Gandhi?'

If both object distance 'u' and image distance 'v' from a concave mirror is -20 cm and both object size and image size is 4 cm, then what is the radius of curvature 'R' of the mirror?

The word aqueous (aq) is written if the reactant or product is present as a/an-

What was the purpose of 'Project arrow' in postal department started in the year 2008?

Two cars P and Q start from the opposite direction of 100 km apart. Car P reaches a distance of 30 km, and car Q reaches a distance of 25 km. What is the distance between the two cars?

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

Seven persons—L, M, N, O, P, Q and R like different colours—red, blue, white, pink, green, black and yellow, but not necessarily in the same order. They all have different hobbies (or they like different activities) shooting, travelling, dancing, gardening, hunting, painting and writing, but not necessarily in the same order. The hobby of O is shooting. The one whose hobby is gardening likes pink colour. L likes yellow colour. The one whose hobby is writing likes green colour. The hobby of Q is dancing. Neither O nor Q likes black colour. The one whose hobby is painting and travelling does not like black colour. The hobby of L is not travelling. The one whose hobby is travelling does not like red and white colour; O does not like red colour. The hobby of P is neither hunting nor gardening. P does not like green colour. R does not like green and black colour. The hobby of M is not writing.

Which of the following is the hobby of P?

If the first number and the second number is 25% and 50% more than the third number respectively, find the respective ratio between the first and the second number.

In this question, a statement is given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statement:
The minimum qualification for a job is graduation. However, candidates who have appeared for the final year of graduation may also apply.
Conclusions :
I. All candidates who have yet to graduate will be there in the list of selected candidates.
II. All candidates having graduation as their minimum qualification will be there in the list of selected candidates.

A man is standing on a platform which is 70 m long. A train crosses the platform in 5.5 seconds, but it crosses the man in 2 seconds. What is the length of the train?

A sum of money at 8% Simple Interest was placed in a deposit for 7 years. The matured amount was then invested in a scheme offering 10% Compound Interest compounded annually, thereby procuring an interest of Rs.1638 in 2 years. What was the original sum?

The loss incurred in a sale of an article is equal to 60% of the selling price of the article. What is the actual loss per cent?

The sum of the ages of a father and son is 45. Six years ago, their ages were in the ratio 10 : 1. How old will the son be after six years?

P, Q and R are the volumes of a cone, hemisphere and a cylinder with equal radius and height. What is the value of $$P : Q : R$$ ?

How is the refractive index of a material related to the speed of light in air?

The Arjun is a third generation _________ developed by India's Defence Research and Development Organisation (DRDO), for the Indian Army.

A hemispherical metallic solid is melted and recast into a cone of equal radius 'R'. If the height of the cone is H, then:

How much material is wasted when a solid cone of height 24 cm and radius 8 cm is recast into a solid cylinder of radius 6 cm and height 6 cm?

Simplify: $$\cos \theta (1 - \tan \theta) + \sin \theta (1 - \cot \theta)$$

If the potential difference across the ends of a conductor is halved, what happens to the current flowing through it?

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