SSC CGL 4th March 2020 Shift-3

For the following questions answer them individually

Select the option that is related to the third term in the same wayasthe secondterm is related to the first term and sixth term is related to fifth term.
72 : 14 :: 87 : ? :: 96 : 54

In the given Venn diagram, the ‘rectangle’ represents ‘engineers’, the ‘circle’ represents ‘managers’, and the ‘triangle’ represents ‘married’. The numbers given in the diagram represent the number of persons in that particular category.

How many people are married but are NOT engineers?

A product was marked for sale with a label price, which is at 20% discount on the printed price. At the time of sale, the shopkeeper gave an additional 10% discount on the label price. If a customer bought the product at ₹468, then what is the printed price of the product?

$$A + B$$ means ‘A is the wife of B’;
$$A - B$$ means ‘B is the daughter of A’;
$$A \times B$$ means ‘B is the brother of A’;
$$A \div B$$ means ‘A is the father of B’.
If, $$P + R \times T - Q + S \div U$$, then how is $$P$$ related to the mother of $$U$$?

Arrange the following wordsin a logical and meaningful order (according to population).
1. Andhra Pradesh
2. Madhya Pradesh
3. Arunachal Pradesh
4. Uttar Pradesh
5. Himachal Pradesh

Select the option in which the words share the same relationship as that shared by the given pair of words.
Dentist : Doctor

Which two signs should be interchanged to make the given equation correct?
$$121 + 11 - 42 \times 6 \div 7 =83$$

Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.

Select the option in which the number set shares the same relationship as that shared by the given number set.
(17, 24, 45)

Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s).
Statements:

All singers are dancers.
No dancer is a plumber.
Conclusions:

I. No plumber is a singer.
II. Some singers are plumbers.
III. Some dancers are singers.

Four multi-storied illegal constructions - Jain Coral Cove, H20 Holy Faith, Alfa Serene and Golden Kayaloram - were razed to the ground in January 2020 following Supreme Court instructions. In which state did this happen?

Name the company that has acquired an online travel portal Yatra Online Inc., for an enterprise value of $337.8 million, in an all-stock transaction.

Which of the following is an INCORRECT sequence of Mughal rulers?

The American scientist Edwin Hubble's name is associated with which of these theories?

Only one Indian batsman has scored a triple century in test cricket other than Virender Sehwag. Name this batsman.

What is the name of the phenomena in physics and astronomy which involves the splitting of a spectral line into two or more components of slightly different frequency when the light source is placed in a magnetic field?

Name the two Indian actors who shared the National Best Actor Award (Male) in the 66th National Film Awards 2019.

Former union minister and former Karnataka CM, D.V. Sadananda Gowda is a cabinet minister in the current central cabinet (February-2020). What is his portfolio?

Who among the following is known as the 'father of Muslim renaissance' in Bengal?

What is the name of the phenomena (driven by the scattering of light) in which mountain tops acquire a rosy or orange hue around sunrise and sunset?

Which of these is the energy conversion that happens in the process called photosynthesis?

Who was the then Governor-General of British India, when ‘Sati Pratha’ became illegal and punishable?

Who is the author of the delightful and anecdotal history of Indian cricket titled - 'A Corner of a Foreign Field: The Indian History of a British Sport'?

The given table represents the production of different types of motorcycles (in thousands)over a period of six years.
Study the table carefully and answer the question that follows.

During 2015, the production of which type of motorcycle was more than 25% of the total production of all types of motorcycles in 2017?

The average age of a number of persons in a group was calculated as 35 years, which was 2.5 years more than the correct average as there was an error in recording the age of two persons as 38.5 years and 40 years instead of 29 years and 22 years respectively. The number of persons in the group was:

If $$\sec \theta + \tan \theta = p, 0^\circ < \theta < 90^\circ$$, then $$\frac{p^2 - 1}{p^2 + 1}$$ is equal to:

A sum of ₹ x was divided between A, B, C and D in the ratio $$\frac{1}{3} : \frac{1}{5} : \frac{1}{6} : \frac{1}{9}$$. If the difference between the shares of B and D is ₹832, then the value of x is:

The area of a field in the shape of a regular hexagon is $$2400 \sqrt{3} m^2$$. The cost of fencing the field at ₹16.80/metre is:

Places A and B are 144 km apart. Two cars start simultaneously, one from A and the other from B. If they move in the same direction, they meet after 12 hours, but if they move towards each other they meet after $$\frac{9}{8}$$ hours. The speed (in km/h)of the car moving at a faster speed, is:

A, B and C donate 8%, 7% and 9%,of their salaries, respectively to a charitable trust. The salaries of A and B are same and the difference between their donations is ₹259. Thetotal donation of A and B is ₹1,185 more than that of C. The total donation ofA and C is what percentage ofthe total salaries of A, B and C? (Correct to one decimalplace)

Four men and 6 women can complete a certain piece of work in 5 days whereas three men and 4 women can complete it in 7 days. How many men should assist 25 women to complete $$2\frac{1}{2}$$ times the same work in 5 days?

In $$\triangle ABC, \angle B = 72^\circ$$ and $$\angle C = 44^\circ$$. Side BC is produced to D. The bisectors of $$\angle B$$ and $$\angle ACD$$ meet at E. What is the measure of $$\angle BEC$$?

In $$\triangle ABC, AC = 8.4 cm$$ and $$BC = 14 cm$$. P is a point on AB such that CP= 11.2 cm and $$\angle ACP = \angle B$$. What is the length (in cm) of BP?

The value of $$\frac{8 \div [(8 - 3) \div \left\{(4 \div 4 of 8) + 4 - 4 \times 4 \div 8\right\} - 2]}{8 \times 8 \div 4 - 8 \div 8 of 2 - 7}$$ is:

The given table represents the production of different types of motorcycles (in thousands) over a period of six years. Study the table carefully and answer the question that follows.

What is the percentage increase in the total production of all types of motorcycles from 2014 to 2018?

By what percentage is the total production of type A motorcycles over six years, less than the total production of all types of motorcycles in 2013 and 2016?

For the following questions answer them individually

Two circles of radii 7 cm and 5 cm intersect each other at A and B, and the distance between their centres is 10 cm. The length (in cm) of the common chord AB is:

If the selling price of an article is 8% more than the cost price and the discount offered is 10% on the marked price of the article, then what is the ratio of the cost price to the marked price?

The given table represents the production of different types of motorcycles (in thousands) over a period of six years. Study the table carefully and answer the question that follows.

What is the ratio of the total number of motorcycles of type B produced in 2016 and 2018 to the total number of motorcycles of type D produced in 2013, 2015 and 2016?

A sum of ₹8,000 invested at 10% p.a. amounts to ₹9,261 in a certain time, interest compounded half-yearly. What will be the compoundinterest (in ₹) on the same sum for the same time at doublethe earlier rate of interest, when interest is compounded annually?

A sells an article to B at a loss of 20%, B sells it to C at a profit of 12.5% and sells it to D at a loss of 8%. If D buys it for ₹248.40, then what is the difference between the loss incurred by A and C?

If $$7 \cos^2 \theta + 3 \sin^2 \theta = 6, 0^\circ < \theta < 90^\circ,$$ then the value of $$\frac{\cot^2 2\theta + \sec^2 2\theta}{\tan^2 2\theta - \sin^2 2\theta}$$ is:

The value of $$\frac{(\cos 9^\circ + \sin 81^\circ)(\sec 9^\circ + \cosec 81^\circ)}{2 \sin^2 63^\circ + 1 + 2 \sin^2 27^\circ}$$ is:

Select the correct passive form of the given sentence.
Did the problems you had to face discourage you?

Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order.
A. Upon returning from his travels, he was forced to live in a house where his large family lived.
B. Vaikom Muhammad Basheer was a Malayalam fiction writer from Vaikom in Kerala.
C. The household was always noisy and full of chaos, no place for a writer surely!
D. Apart from family members, myriads of domestic animals also treated the house as their own.

In the following passage some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Comprehension:

Milton Hershey returned to the village where he had been born, in the heart of dairy country. He opened his chocolate manufacturing plant (1)______ 1905. With access to all the fresh milk he (2)______, he began producing the finest milk chocolate. The plant (3)______ opened in a small Pennsylvania village is today the (4)______ chocolate factory in the world. The confections created here are (5)______ around the world.

For the following questions answer them individually

Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'.

For the following questions answer them individually

Select the correct indirect form of the given sentence.
The lawyer said to me, "There is no proof of your involvement in this case."

In the sentence identify the segment which contains the grammatical error.

For the following questions answer them individually

Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order.
A. Even the most ill-equipped laboratory would have been better than their shed.
B. Thus, they did not allow any difficulties to come in their way.
C. But their mind was set upon the discovery of radium.
D. The Curies had to work in extreme poverty.

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