SSC CGL Tier-I Practice Test - 39 - SSC CGL MCQ

# SSC CGL Tier-I Practice Test - 39 - SSC CGL MCQ

Test Description

## 100 Questions MCQ Test SSC CGL Tier 1 Mock Test Series 2024 - SSC CGL Tier-I Practice Test - 39

SSC CGL Tier-I Practice Test - 39 for SSC CGL 2024 is part of SSC CGL Tier 1 Mock Test Series 2024 preparation. The SSC CGL Tier-I Practice Test - 39 questions and answers have been prepared according to the SSC CGL exam syllabus.The SSC CGL Tier-I Practice Test - 39 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SSC CGL Tier-I Practice Test - 39 below.
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SSC CGL Tier-I Practice Test - 39 - Question 1

### Arrange the following words according to the English Alphabetical order:- (i)Strangulation     (ii) Strangulated     (iii) Strangled        (iv) Strangler

SSC CGL Tier-I Practice Test - 39 - Question 2

### 67: 13: : 47: ?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 2

First number = 67
For second number
(7-6) × (7 + 6) = 1 × 13 = 13
Thus, resultant will be the second number i.e, 13.
Now, third number = 47
Similarly, for fourth number
(7-4) × (7 + 4) = 3 × 11 = 33
Therefore, required number is 33.

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SSC CGL Tier-I Practice Test - 39 - Question 3

### If 11th of June falls on Friday, what would be the 30th day of that month?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 3

Fridays = 11 June, 18 June, 25 June
Therefore, 30 = Wednesday

SSC CGL Tier-I Practice Test - 39 - Question 4

Pointing towards a photograph woman said, “His mother is the only daughter of my son’s grandfather’s wife”. How is the person in the photograph related to the woman?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 4

SSC CGL Tier-I Practice Test - 39 - Question 5

F/N : 30/182 : : H/P : ?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 5

F/N = (6 × 5)/(14 × 13) = 30/182
Similarly,
H/P = (8 × 7)/(16 × 15) = 56/240

SSC CGL Tier-I Practice Test - 39 - Question 6

Pick the odd one out:

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 6

Except Pune, all are the capitals of different Indian states.

SSC CGL Tier-I Practice Test - 39 - Question 7

K/AZ :  N/GT  :: Q/MN : ?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 7

In numerator,
K + 3 – N,
N + 3 – Q,
Q + 3 – T
In denominator,
Opposite of A is Z and
A + 6 – G.
Opposite of G is T and
G + 6 – M.
Opposite of M is N and
M + 6 – S
Opposite of S is H.
ixamBee Approach: In the numerator once you get T, check the options. Only option A has numerator T, thus this is the answer. No further calculation is required

SSC CGL Tier-I Practice Test - 39 - Question 8

Which one of the following is wrong in the series?

14         8           16            38            137

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 8

14 × 0.5 + 1 = 8
8 × 1.5 + 2 = 14
14 × 2.5 + 3 = 38
38 × 3.5 + 4 = 137

SSC CGL Tier-I Practice Test - 39 - Question 9

If in a certain code REAL is coded as 144 and TOP is coded as 153, then what is the code for STEP?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 9

REAL = (18 + 5 + 1 + 12) × 4 = 36 × 4 = 144
TOP = (20 + 15 + 16) × 3 = 51 × 3 = 153
Therefore, STEP = (19 + 20 + 5 + 16) × 4 = 60 × 4 = 240

SSC CGL Tier-I Practice Test - 39 - Question 10

Sonu walked 50 meters towards south, took right turn and walked 20 meters, then he took a left turn and walked 50 meters, again he took a left turn and walked 25 meters. In which direction he is from the initial point?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 10

SSC CGL Tier-I Practice Test - 39 - Question 11

At what time between 3 and 4 o’clock will the hands of a watch be in opposite directions?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 11

At 3 o’clock, the hands of the watch are 15 minutes, spaces apart.
To be in opposite directions, they must be 30 minutes spaces apart.
∴ Minute hand will have to gain 45 minutes spaces.
55 minutes spaces are gained in 60 minutes.
45 minutes spaces are gained in (60/55×45) min or 49*1/11 min
∴ Required time = 49*1/11 min past 3.

SSC CGL Tier-I Practice Test - 39 - Question 12

Tinu, Chinu, Pinto, Nitu and Sheenu are five friends sitting in a row facing north. Sheenu is sitting exactly between Chinu and Nitu. Pinto is not the immediate neighbour of Chinu and Tinu does not sit at extreme end. Chinu is sitting second to the left of Nitu. Who among the following is sitting to the immediate left of Chinu?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 12

SSC CGL Tier-I Practice Test - 39 - Question 13

Q, P, T, U and S are five friends. T is shorter than only two persons. P is taller than Q but shorter than T. S is not the tallest. Who is the tallest?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 13

U > S > T > P > Q

SSC CGL Tier-I Practice Test - 39 - Question 14

If GENERAL is coded as FFMFQBK and OXFORD is coded as PWEPQC, then what is the code for LEARNER?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 14

SSC CGL Tier-I Practice Test - 39 - Question 15

Arrange the following words in a meaningful order.

A. Milkyway        B. Solar system       C. Sun           D. Universe         E. Planets

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 15

Planets → Sun →Solar system →Milkyway → Universe

SSC CGL Tier-I Practice Test - 39 - Question 16

From the given alternatives select the word which cannot be formed using the letters of the given word
STRATOSPHERE

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 16

There is no ‘M’ in the given word.

SSC CGL Tier-I Practice Test - 39 - Question 17

From among the given alternatives select the one in which the set of numbers is most like the set of numbers given in the question.
(7, 11, 20)

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 17

7 + 2² = 7 + 4 = 11
11 + 3² = 11 + 9 = 20
Similarly,
10 + 2² = 10 + 4 = 14
14 + 3² = 14 + 9 = 23

SSC CGL Tier-I Practice Test - 39 - Question 18

Number of times each letter is appearing in the given word is indicated in each alternative. Identify the correct one.

CLASSIFICATION

SSC CGL Tier-I Practice Test - 39 - Question 19

Which of the following is true in the given expression?
F < G ≤ H, U ≥ V = F, Q ≤ H = Z

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 19

U ≥ V = F < G ≤ H = Z ≥ Q

SSC CGL Tier-I Practice Test - 39 - Question 20

Find the wrong number on the series?
16           53           154         467         1390       4193

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 20

16 × 3 + 5 = 53
53 × 3 – 5 = 154
154 × 3 + 5 = 467
467 × 3 – 5 = 1396
1396 × 3 + 5 = 4193

SSC CGL Tier-I Practice Test - 39 - Question 21

The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column. e.g. ‘E’ can be represented by 01, 13 etc. and ‘L’ can be represented by 56, 77 etc. Identify the set for the word AIRS.

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 21

A – 00, 12, 24, 31, 43
I – 55, 68, 76, 89, 97
R – 57, 65, 78, 86, 99
S – 58, 66, 79, 87, 95

SSC CGL Tier-I Practice Test - 39 - Question 22

If each vowel of the word COMPETITION is changed to its next vowel in the English alphabets and each consonant is changed to its previous vowel of the English alphabet, which vowel will not appear in the new arrangement?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 22

C O M P E T I T I O N
A U I O I O O O O U I

SSC CGL Tier-I Practice Test - 39 - Question 23

How many diagonals are there in the given hexagon?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 23

The diagonals are : EC, AC, BE, BF, AD, CF.

SSC CGL Tier-I Practice Test - 39 - Question 24

From the following two different appearances of die, find out the colour which is opposite to Black.

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 24

From the two views of the dice, it is clear that Violet is opposite to Black.

SSC CGL Tier-I Practice Test - 39 - Question 25

Directions

In the following question below are given three statements followed by two conclusions numbered I, and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts.

No button is mat.

Conclusions:         I. Some hats are button.

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 25

Some hats are threads (I) + Some threads are button (I) ⇒ no conclusion can be drawn. Hence, conclusion I will not follow.
Some hats are threads (I) ⇒ conversion ⇒ Some threads are hats (I). Hence, conclusion II will not follow

SSC CGL Tier-I Practice Test - 39 - Question 26

The Committee on Insurance Sector Reforms was set up in

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 26

The Committee on Insurance Sector Reforms was set up in 1993 under the chairmanship of R.N.Malhotra.

SSC CGL Tier-I Practice Test - 39 - Question 27

Match the following International Airports with their respective places.

International Places                                                                    Places

(i) Dr. Babasaheb Ambedkar International Airport                (A) Nagpur

(ii) Netaji Subhash Chandra Bose International Airport        (B) Varanasi

(iii) Lal Bahadur Shastri International Airport                       (C) Kolkata

(iv) Chaudhary Charan singh International Airport                (D) Lucknow

SSC CGL Tier-I Practice Test - 39 - Question 28

The Doctrine of Lapse was devised by

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 28

The doctrine of Lapse was an annexation policy purportedly devised by Lord Dalhousie, who was the Governor General for the East India Company in India between 1848 and 1856.

SSC CGL Tier-I Practice Test - 39 - Question 29

The part in Indian Constitution, which contains the Fundamental rights, is

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 29

Fundamental rights is the basic rights of the people and the charter of rights contained in Part III of Constitution of India. It guarantees civil liberties such that all Indians can lead their lives in peace and harmony as citizens of India.

SSC CGL Tier-I Practice Test - 39 - Question 30

Which of the following is the most reactive element in the Periodic table?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 30

Fluorine is the most reactive non-radioactive element in the periodic table. It exists in gaseous form at room temperature and even reacts with the glass. So it almost impossible to store it in pure form.

SSC CGL Tier-I Practice Test - 39 - Question 31

Cell was discovered by

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 31

The cell was discovered by Robert Hooke in 1665 that made studies of cork using a microscope.

SSC CGL Tier-I Practice Test - 39 - Question 32

The Indo Greeks were the first ruler in India who issued

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 32

The Indo-Greeks were the first rulers in India to issue coins which can definitely be attributed to the kings. They were the first to issue gold coins in India.

SSC CGL Tier-I Practice Test - 39 - Question 33

Recently, India has successfully carried out a fresh user trial of which missile?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 33

India has successfully carried out a fresh user trial of Agni-III ballistic missile from a defence test facility in the Abdul Kalam Island. The Strategic Forces Command carried out the test with logistics support from Defence Research Development Organisation (DRDO).

SSC CGL Tier-I Practice Test - 39 - Question 34

Which of the following Indian state has the largest coastline?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 34

Gujarat has an area of 75686 square miles (196090 km²) with the longest coast line (24 % of Indian sea coast) 1600 km (990 mi), dotted with 41 ports : one major, 11 intermediate and 29 minor.

SSC CGL Tier-I Practice Test - 39 - Question 35

National Anthem of India was first sung in the _________ session of Indian National Congress.

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 35

National Anthem of India was first sung in the _________ session of Indian National Congress.

•   Lahore
•
•   Calcutta
•
•   Delhi
•
•   Belgaon
SSC CGL Tier-I Practice Test - 39 - Question 36

Who has scored the most number of Goals in Football?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 36

The most goals scored in a specified period is 1279 by Edson Arantes do Nascimento (Brazil) also known as Pele, from 7 September 1956 to 1October 1977 in 1363 games.

SSC CGL Tier-I Practice Test - 39 - Question 37

National Income was first estimated by

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 37

About National Income- National Income Committee defines National Income as “the value of commodities and services produced in an economy during a given period, counted without duplication.”

SSC CGL Tier-I Practice Test - 39 - Question 38

The Marginal cost of production of a commodity is

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 38

The marginal cost of production is the change in total cost that comes from making or producing one additional item. The purpose of analyzing marginal cost is to determine at what point of organization can achieve a economies of scale.

SSC CGL Tier-I Practice Test - 39 - Question 39

Consider the following events.

A) Battle of Plassey

B) Battle of Buxor

C) Battle of Tarain

D) Battle of Haldighati

The correct Chronological order of these events Is

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 39

Battle of Tarain – 1191A.D
Battle of Haldighati – 1576 A.D
Battle of Plassey – 1757 A.D
Battle of Buxor – 1764 A.D

SSC CGL Tier-I Practice Test - 39 - Question 40

Heart transplantation is first done by

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 40

Christian Barnard performed the first Heart transplant on the third of December 1967.

SSC CGL Tier-I Practice Test - 39 - Question 41

The SI unit of Pressure is

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 41

Pressure is the effect of a force applied to a surface. It is a derived unit, obtained from combining base units. The unit of Pressure in the SI system is the Pascal (Pa)

SSC CGL Tier-I Practice Test - 39 - Question 42

Which of the following is the main body of United Nations Organisation is the

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 42

Chronological order of bodies of United Nations organization – the General Assembly, the Security Council, the Economic and Social Council, the Trusteeship council, the International Court of Justice and the Secretariat.

SSC CGL Tier-I Practice Test - 39 - Question 43

The painting of Bodhisattva Padmapani is one of the most famous paintings at

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 43

Mahayana Buddhism evolved the India of Bodhisattva. One of the most popular Bodhisattva representing attribute ‘Copassion’ is Padmapani Avalokiteshwar, It is Beautifully painted as slim person, with crown on head and lotus in hand on the walls of Ajanta Caves

SSC CGL Tier-I Practice Test - 39 - Question 44

Arasavalli Village is famous for the temple of Lord

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 44

The famous Sun God Temple situated in Arasavalli Village which is at a distance of about 1km east of Srikakulam town district head quarters of the North Coastal Andhra Pradesh.

SSC CGL Tier-I Practice Test - 39 - Question 45

May 29th is observed as the

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 45

The International Day of United Peacekeepers is a day to remember those who served in United Nations (UN) peacekeeping operations. The theme for the 2017 International Day of UN Peacekeepers is “Investing in Peace Around the World”.

SSC CGL Tier-I Practice Test - 39 - Question 46

The Silicon Valley of India is situated in

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 46

The Silicon Valley of India is a nickname of the Indian city of Bangalore. It was named so because is on the Mysore Plateau, the area is also sometimes referred to as “Silicon Plateau”.

SSC CGL Tier-I Practice Test - 39 - Question 47

Sound of frogs can be heard from a long distance in a rainy season because

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 47

In rainy season the air is humid due to which the density of air decreases and the speed of sound in air increases. Therefore, sound of frogs can be heard from long distances in rainy seasons.

SSC CGL Tier-I Practice Test - 39 - Question 48

Who among the following is traditionally identified as Kautilya and Vishnugupta ?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 48

Chanakya was an Indian teacher, philosopher, economist, jurist and royal advisor. He is traditionally identified as Kutilya or Vishnugupta, who authored the ancient Indian political treatise, the Arthashastra.

SSC CGL Tier-I Practice Test - 39 - Question 49

The world’s largest coral reef is

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 49

The Great Barrier reef is the world’s largest coral reef system composed of over 2900 individual reefs and 900 islands stretching for over 2300 km over an area of approximately 344400 km². the reef is located in the Coral sea, of the coast of Queensland, Australia.

SSC CGL Tier-I Practice Test - 39 - Question 50

Which of the following Committee came to the conclusion that Subhash Chandra Bose died in plane crash?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 50

The three-member committee was formed by Nehru government to address the public demand to investigate the disappearance of Subhash Chandra Bose. The committee was led by Shah Nawaz Khan and included Suresh Chandra Bose, brother of Subhash Chandra Bose, and S.N. Maitra.

SSC CGL Tier-I Practice Test - 39 - Question 51

If (x+1/x)^2 = 3, then the value of  x^206 + x^200 + x^90 + x^84 + x^42 + x^36 + x^12 + x^6 + 5 is

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 51

SSC CGL Tier-I Practice Test - 39 - Question 52

Two cars of equal length are running in the same direction at 48 kmph and 32 kmph. The faster car passes the slower car in 18 seconds. The length of each car is.

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 52

Let the length of the car be x meters
Relative speed = 48 – 32 = 16 kmph.
Relative speed in mps =16 × 5/18 mps
= 40/9 mps
Time = Distance/Speed
⇒ 18 = 2x/(40/9 )
⇒ 2x= (18 × 40)/9
⇒ x = 40m
∴ The length of car is 40m

SSC CGL Tier-I Practice Test - 39 - Question 53

The average of a batsman in some innings is 36 and his scores in next innings are 44, 58 and 36 runs respectively. Therefore, the average increased by 2 runs, then find the number of innings played by him.

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 53

Batting Average = (Total runs)/(Total Innings)
Average of next three innings = (44+58+36)/3 = 46

4 unit = 12 innings
Total = 12 + 3 = 15 innings.

SSC CGL Tier-I Practice Test - 39 - Question 54

A money lender finds that due to fall in the annual rate of interest from 14% to 7*2/5%, his yearly income decreases by Rs. 82.50. His capital is-

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 54

Difference in rate = (14 – 7*2/5 ) = 33/5 %
Let the capital be Rs. x.
∴ 33/5 % of x = 82.50
⇒ x = 82.50 × 100 × 5/33 = Rs. 1250

SSC CGL Tier-I Practice Test - 39 - Question 55

120 is divided into two parts in such a way that the sixth part of the first part and the seventh part of the second are in the ratio 5 : 6. How much percent second part is more than the first part?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 55

First part = x and second part = 120 – x
∴(x/6)/((120 - x)/7) = 5/6
⇒x/6× 7/(120-x) = 5/6
⇒ 42x = 720 × 5 - 30x
⇒ 72x = 3600
⇒x = 50
∴ the second part will be 120 – 50 = 70
Required percentage = (70-50)/50 ×100=40%

SSC CGL Tier-I Practice Test - 39 - Question 56

Find the compound interest on Rs. 5000 at 4% per annum for 2 years compounded half yearly?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 56

Principal = Rs. 5,000
Rate = 4% = 4/2 = 2% half yearly
Time = 2 years Time will double = 2 × 2 = 4 years
CI = P(1+r/t)^n-P
= 5000(1+2/100)^4-5000
= 5000(1+1/50)^4-5000
= 5000 × 51/50 × 51/50 × 51/50 × 51/50 - 5000
= 5412 - 5000
= Rs. 412

SSC CGL Tier-I Practice Test - 39 - Question 57

A man purchased spirit for three consecutive years. In the first year, he purchased spirit at the rate of Rs. 5 per litre, in the second year, at the rate of Rs. 6.00 per litre and in the third year, at Rs. 7.50 per litre. If he purchased spirit worth Rs. 7,500 each year, the average price of spirit per litre for three years is.

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 57

Quantity of purchased spirit in
1st year = 7500/5 = 1500 litre
2nd year = 7500/6 =1250 litre and
3rd year = 7500/7.5 = 1000 litre
∴ Total quantity purchased in 3 years = 1500 + 1250 + 1000 = 3750 litre and
Total amt. paid in 3 yrs for spirit = 3 × 7500 = Rs.22,500
∴ Average price per litre = 22500/3750 = Rs. 6 per litre

SSC CGL Tier-I Practice Test - 39 - Question 58

The top of two towers of height 48m and 60 m are connected by wire. If the wire makes an angle of 60˚ with the horizontal, then the length of the wire is

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 58

AC is the wire which connected top of the tower
In ∆AEC, AE = AB – CD = 12 m
Sin 60˚ = AE/AC
√3/2 = 12/AC
AC = 24/√3 = 8√3m

SSC CGL Tier-I Practice Test - 39 - Question 59

In a circular sheet of paper of radius 20cm, a sector of 40% area is removed and the remaining part is used to make a conical surface. Find the volume of a conical surface.

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 59

Area of Circle (60% portion) = 60/100 × π × (20)²
Now,
Area of Circle (60% portion) = surface area of the cone (πrl)

60/100 × π × (20)² = π ×r × 20 r = 12 cm Height of the cone = √(20²-12²) = √256 = 16cm Volume of the cone = 1/3 πr²h = 1/3 × π × 12 × 12 × 16 = 768 π

SSC CGL Tier-I Practice Test - 39 - Question 60

If x-y√3  = 15 and √3 x+y = 23

Find the angle between both the lines when they intersect each other?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 60

SSC CGL Tier-I Practice Test - 39 - Question 61

If the height of equilateral triangle is 12 cm, then find out the area of its circumcircle?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 61

Height of an equilateral triangle = √3/2 ×
side Side = h × 2/√3 = 12 × 2/√3 = 8√3
Radius of circumcircle = side/√3 = (8√3)/√3 = 8 cm
Area of circumcircle = πr² = 8²π = 64π

SSC CGL Tier-I Practice Test - 39 - Question 62

What is the value of  1/15 + 1/35 + 1/63 + 1/99 + 1/143 ?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 62

1/(3×5) + 1/(5×7) + 1/(7×9) + 1/(9×11) + 1/(11×13)
⇒ (total terms)/(smallest term × largest term)
⇒ 1/(3×13) = 5/39

SSC CGL Tier-I Practice Test - 39 - Question 63

A and B together can do a piece of work in 6 days and A alone can do the same piece of work in 15 days. If both start working together and B works only half a day daily, then find the number of days A and B together can do the piece of work?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 63

A’s one day work = 1/15 part
B’s one day work = 1/6 - 1/15 = (5-2)/30 = 1/10 part
A’s one day work + B’s half day work = 1/15 + 1/20 = (4+3)/60 = 7/60 part
Hence, A and B can together can do the work in = 60/7 = 8*4/7 days.

SSC CGL Tier-I Practice Test - 39 - Question 64

If the sum of the number is 91 and their HCF and LCM are 7 and 280 respectively. Find the sum of their reciprocals?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 64

HCF = 7 and LCM = 280 (given)
Sum of the number = 91
Let the first number be x and the second number be y.
Now, x+y = 91 ............... (i)
Again, first number × second number = HCF × LCM
or xy = 7 × 280 = 1960 ........ (ii)
Solving (i) and (ii) we got,
x = 56, y = 35
∴ Sum of reciprocals = 1/56 + 1/35
= (5+8)/280 = 13/280

SSC CGL Tier-I Practice Test - 39 - Question 65

If θ is a positive acute angle and cos²θ + cos⁴θ = 1, then the value of tan²θ + tan⁴θ is?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 65

SSC CGL Tier-I Practice Test - 39 - Question 66

A train passes 150 m long platform in 10 seconds and a man standing on the platform in 8 seconds. Find the speed of the train?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 66

Let the length of the train be x m
Length of the platform = 150 m
Now, (x+150)/10 = x/8
8x + 1200 = 10x
1200 = 2x
x = 600
Length of the train = 600 m
∴ Speed of the train = 600/8
= 75 m/s
= 75× 18/5 = 270 km/h

SSC CGL Tier-I Practice Test - 39 - Question 67

In the figure P is a point which is 12 cm away from the centre of the circle O. A line drawn from P point cuts circle at point A and B respectively. If PB = 9 cm, AB = 2 cm Then find out the radius of the circle?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 67

SSC CGL Tier-I Practice Test - 39 - Question 68

9 litre of milk is taken out from a container and replaced by water. This process is repeated once more, the ratio of quantity in container (M:W) is 16 : 9. Now find the initial quantity of milk in the container?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 68

Let the initial quantity of milk in the container was = 25x
So 25x (1- 9/25x)^n = 16x
((25x-9)/25x)^2= 16x/25x
(25x-9)/25x = √(16/25)
(25x-9)/25x = 4/5
25x - 9 = 20x
5x = 9
x = 9/5
So initial quantity of milk = 25x = 25 × 9/5 = 45 litre

SSC CGL Tier-I Practice Test - 39 - Question 69

In how many different ways can 6 teachers and 5 students be seated in a row so that they sit alternately?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 69

T S T S T S T S T S T
Now 6 teachers can be seated in 6 places in 6! Ways.
5 students can be seated in 5! ways.
∴ Required no. of ways = 6! × 5! = 720 × 120 = 86400

SSC CGL Tier-I Practice Test - 39 - Question 70

If on a marked price, the difference between the selling price at a discount of 40% and that at two successive discounts of 20% and 10% is Rs. 132. Find the marked price of the article?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 70

Let the MP be x
In the first case, SP at 40% loss = 60x/100
Single discount equivalent to 20% and 10% successive discounts = (20+10-(20 × 10)/100)
= 28%
SP in the second case = 72x/100
Now, 72x/100 - 60x/100 = 132
12x/100 = 132
x = (100×132)/100
= Rs. 1100

SSC CGL Tier-I Practice Test - 39 - Question 71

Directions

Study the following table carefully and answer the questions given below it.

Sale (in thousand) of the number of microwaves of five different companies over the given years.

Q. The number of microwave sold by Samsung in 2014 is approximately what percent of the total number of microwaves sold by all the companies together in that year?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 71

Required percent = 110/(110+135+130+118+140) × 100 = 11000/633 × 100 = 17.3%

SSC CGL Tier-I Practice Test - 39 - Question 72

Directions

Study the following table carefully and answer the questions given below it.

Sale (in thousand) of the number of microwaves of five different companies over the given years.

Q. What is the average number of microwaves sold in the year 2013 (in thousand)?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 72

Required average = (95+85+70+65+72)/5 = 77.4

SSC CGL Tier-I Practice Test - 39 - Question 73

Directions

Study the following table carefully and answer the questions given below it.

Sale (in thousand) of the number of microwaves of five different companies over the given years.

Q. The ratio of the number of microwave sold by whirlpool in all the given years to the number of microwave sold by Bajaj in all the given year is

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 73

Number of microwave sold by whirlpool = 210 + 70 + 130 + 140 + 215 = 765
Number of microwave sold by Bajaj = 225 + 72 + 140 + 175 + 115 = 727
Required ratio = 765 : 727

SSC CGL Tier-I Practice Test - 39 - Question 74

Directions

Study the following table carefully and answer the questions given below it.

Sale (in thousand) of the number of microwaves of five different companies over the given years.

Q. Which company has sold the minimum number of microwave over the given year?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 74

Number of microwave sold by Samsung = 110 + 95 + 110 + 210 + 175 = 700
Number of microwave sold by LG = 130 + 85 + 135 + 190 + 180 = 720
Number of microwave sold by whirlpool = 210 + 70 + 130 + 140 + 215 = 765
Number of microwave sold by Philips = 180 + 65 + 118 + 165 + 120 = 648
Number of microwave sold by Bajaj = 225 + 72 + 140 + 175 + 115 = 727

SSC CGL Tier-I Practice Test - 39 - Question 75

What is the difference between the number of microwave sold by Philips in 2012, 2014 and 2016 together and the number of microwave sold in 2015 by all the companies?

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 75

Number of microwave sold by Philips = 180 + 118 + 120 = 418
Number of microwave sold in 2015 by all the companies = 210 + 190 + 140 + 165 + 175 = 880
∴ Required difference = 880 – 418 = 462

SSC CGL Tier-I Practice Test - 39 - Question 76

Directions

In the following questions four alternatives are given for the idiom/phrase printed in bold. Choose the alternative which best expresses the meaning of the idiom/phrase and mark it as your answer.

Dry Run

SSC CGL Tier-I Practice Test - 39 - Question 77

Directions

In the following questions four alternatives are given for the idiom/phrase printed in bold. Choose the alternative which best expresses the meaning of the idiom/phrase and mark it as your answer.

Foam at the Mouth

SSC CGL Tier-I Practice Test - 39 - Question 78

Directions

In the following questions four alternatives are given for the idiom/phrase printed in bold. Choose the alternative which best expresses the meaning of the idiom/phrase and mark it as your answer.

Get Down to Brass Tacks

SSC CGL Tier-I Practice Test - 39 - Question 79

Directions

In the following questions four alternatives are given for the idiom/phrase printed in bold. Choose the alternative which best expresses the meaning of the idiom/phrase and mark it as your answer.

Good Samaritan

SSC CGL Tier-I Practice Test - 39 - Question 80

Directions

In each of the following questions, choose the word which can be substituted for the given phrase/sentence.

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 80

Suave - Urbane, Charming, Polished
Svelte – Slender, Graceful
Tycoon - A very powerful businessman
Demure - Modest, Coy

SSC CGL Tier-I Practice Test - 39 - Question 81

Directions

In each of the following questions, choose the word which can be substituted for the given phrase/sentence.

One who always looks at the brighter side

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 81

Paranoid – Suspicious, Distrustful
Optimist - One who always looks at the brighter side
Pessimist - One who always looks at the darker side
Megalomaniac - One who suffers from delusions of greatness

SSC CGL Tier-I Practice Test - 39 - Question 82

Directions

In each of the following questions, choose the word which can be substituted for the given phrase/sentence.

Person who is furious

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 82

Loathsome – full of hate
Languid – very slow and relaxed
Livid – person who is furious
Agnostic – doubting

SSC CGL Tier-I Practice Test - 39 - Question 83

Directions

In each of the following questions, choose the word which can be substituted for the given phrase/sentence.

Person who is so tired and weak that he is unable to think  or walk correctly

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 83

Breezy – sociable / jovial
Guile – sly or cunning intelligence
Affable – friendly
Groggy – person who so tired and weak that he is unable to think or walk correctly

SSC CGL Tier-I Practice Test - 39 - Question 84

Directions

Which of the following is the correct meaning of the given word?

Kit

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 84

young one of an Owl - Owlet
young one of a Rabbit - kit
young one of a Kangaroo - joey
young one of a Deer - fawn

SSC CGL Tier-I Practice Test - 39 - Question 85

Directions

Which of the following is the correct meaning of the given word?

Algophobia

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 85

Fear of floods - Antlophobia
Fear of pain - Algophobia
Fear of bees - Apiphobia
Fear of failure - Atychiphobia

SSC CGL Tier-I Practice Test - 39 - Question 86

Directions

Which of the following is the correct meaning of the given word?

Dutch

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 86

people of Holland - Dutch
people of Denmark - Danes
people of Poland - Poles
people of Dominican Republic - Dominicans

SSC CGL Tier-I Practice Test - 39 - Question 87

DirectionsWhich of the following is the correct meaning of the given word? Carcanets

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 87

an ornament for a turban - Sarpech
an ornament for body - Brooches
an ornament for the neck – Carcanets
an ornament for arm – amulet

SSC CGL Tier-I Practice Test - 39 - Question 88

Directions

Which of the following is the correct meaning of the given word?

incorrigible

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 88

something that cannot be corrected- incorrigible
something that cannot be exchanged- infungible
something that is ostentatiously attractive or impressive - flashy
something related to the stars – interstellar

SSC CGL Tier-I Practice Test - 39 - Question 89

Directions

In each of the following questions four words are given, of which two words are most nearly the same or opposite in meaning. Find the two words which are most nearly the same or opposite in meaning and indicate the number of the correct letter combination.

A)  Adamant            B)  Obstinate           C)  Destitute           D)  Endorse

Detailed Solution for SSC CGL Tier-I Practice Test - 39 - Question 89

Same,
Adamant & obstinate – stubborn and inflexible
destitute – deprived
Endorse – Authorize/ approve