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SSC CGL Tier-I Practice Test - 41 - SSC CGL MCQ


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100 Questions MCQ Test SSC CGL Tier 1 Mock Test Series 2024 - SSC CGL Tier-I Practice Test - 41

SSC CGL Tier-I Practice Test - 41 for SSC CGL 2024 is part of SSC CGL Tier 1 Mock Test Series 2024 preparation. The SSC CGL Tier-I Practice Test - 41 questions and answers have been prepared according to the SSC CGL exam syllabus.The SSC CGL Tier-I Practice Test - 41 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 - 41 below.
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SSC CGL Tier-I Practice Test - 41 - Question 1

A is B’s brother. C is B’s father. D is C’s mother. E is wife of B. Then, how is E related to D?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 1

SSC CGL Tier-I Practice Test - 41 - Question 2

Which of the following word will appear second in the English Dictionary?

SSC CGL Tier-I Practice Test - 41 - Question 3

Today is Thursday. After 52 days, it will be:

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 3

Each day of the week is repeated after 7 days. So, after 49 days, it will be Thursday. Hence, after 52 days it will be Monday

SSC CGL Tier-I Practice Test - 41 - Question 4

A man is facing towards East and turns through 60⁰ anticlockwise, again 180⁰ anticlockwise and then turns through 270⁰ clockwise. In which direction is he facing now?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 4

SSC CGL Tier-I Practice Test - 41 - Question 5

Find the missing term.

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 5

2² + 1 = 5
4² - 1 = 15
6² + 1 = 37
8² - 1 = 63
10² + 1 = 101

SSC CGL Tier-I Practice Test - 41 - Question 6

Pick the odd one out:

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 6

Second number is a result of square and then addition of the first number except for option 2

SSC CGL Tier-I Practice Test - 41 - Question 7

81:65::121: ? 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 7

x² : (x - 1)² + 1 or
= 9²: (9 – 1)² + 1
= 81: 65
Similarly,
= 11²: (11 – 1)² + 1
= 121:101

SSC CGL Tier-I Practice Test - 41 - Question 8

How many meaningful 3 or more lettered words can be formed by using the below given letters:
CEYORRVE

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 8

Recover, cover, core, recovery, eve, very, ore, eye, rover, over, every, ever….

SSC CGL Tier-I Practice Test - 41 - Question 9

Find the missing term:

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 9

(27 ÷ 9) + 3 = 3 + 3 = 6
(16 ÷ 4) + 3 = 4 + 3 = 7
(45 ÷ 5) + 3 = 9 + 3 = 12

SSC CGL Tier-I Practice Test - 41 - Question 10

If 9732 = 69 and 8248 = 48, then 7927 =?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 10

(9 × 7) + (3 × 2) = 63 + 6 = 69
(8 × 2) + (4 × 8) = 16 + 32 = 48
Similarly,
(7 × 9) + (2 × 7) = 63 + 14 = 77

SSC CGL Tier-I Practice Test - 41 - Question 11

If > denotes +, < denotes -, + denotes <, - denotes ×, × denotes ÷, ÷ denotes =, then choose the correct statement of the following 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 11

18 ÷ 12 > 14 × 7 – 7 < 8
18 = 12 + 14/7 × 7 – 8
18 = 12 + 14 – 8
18 = 18

SSC CGL Tier-I Practice Test - 41 - Question 12

The given equation has been solved on the basis of a certain rule. Find the correct answer for the unsolved equation on that basis:

If a ÷ b = (a + b) ÷ (a – b) then (8 ÷ 4) × (14 ÷ 7)

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 12

(8 ÷ 4) × (14 ÷ 7)
= [(8+4)÷(8-4)] × [(14+7)÷(14-7)]
= [ 12÷4] × [ 21÷7]
= 3 × 3
= 9

SSC CGL Tier-I Practice Test - 41 - Question 13

What is the reflex angle between the hands of a clock at 8:30?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 13

Angle traced by hour hand 17/2 hours = (360/60× 17/2)^⁰ = 255⁰
Angle traced by minute hand in 30 minutes = (360/60× 30)^⁰ = 180⁰
∴ Reflex angle = 360⁰ - (255⁰ - 180⁰)
= 360⁰ - 75⁰ = 285⁰

SSC CGL Tier-I Practice Test - 41 - Question 14

Find the missing term in the series:

69        68             ?             2349            37520

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 14

69 × 1² - 1³ = 68
68 × 2² - 2³ = 264
264 × 3² - 3³ = 2349
2349 × 4² - 4³ = 37520

SSC CGL Tier-I Practice Test - 41 - Question 15

The number of students in a music class is increasing month after month as follows. Find the number of students in June from the following information.

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 15

January = 15
February 15 + 1³ = 16
March = 16 + 2³ = 24
April = 24 + 3³ = 51
May = 51 + 4³ = 115
June = 115 + 5³ = 240

SSC CGL Tier-I Practice Test - 41 - Question 16

P, Q, R, S and T are sitting in a row facing South. Q sits exactly in the middle of the row. Only one person sits between Q and R and R is not a neighbour of S, who sits second to the left of T. Who sits at the extreme end of the row?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 16

SSC CGL Tier-I Practice Test - 41 - Question 17

In the following question, how many such vowels are there in the arrangement each of which is immediately following by consonant and also immediately preceded by a symbol?

%  3  4  $  Q  R  2  T  6  @  E  K  6  D  W  7  9  #  V  8  W 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 17

@EK

SSC CGL Tier-I Practice Test - 41 - Question 18

Five girls – Suhani, Prerna, Priyanka, Anshika and Pooja are of different heights. Priyanka is taller than only two of them but not as tall as Anshika. Suhani is not the shortest and Prerna is taller than Anshika. Who is the shortest in the group?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 18

Prerna > Anshika > Priyanka > Suhani > Pooja

SSC CGL Tier-I Practice Test - 41 - Question 19

Arrange the following words in a meaningful order.

A. Tropic of cancer                 

B. Arctic circle

C. Tropic of Capricorn               

D. Equator       

E. Antarctic Circle   

F.  Arctic Pole

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 19

Earth from North to South : Arctic Pole → Arctic circle Tropic of cancer → Equator → Tropic of Capricorn → Antarctic Circle.
Meaningful arrangement would also have been from South to North but since it’s not one of the options, we will discard it.

SSC CGL Tier-I Practice Test - 41 - Question 20

DP : 4 : : HX : ?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 20

SSC CGL Tier-I Practice Test - 41 - Question 21

How many triangles are embedded in the figure given below?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 21

SSC CGL Tier-I Practice Test - 41 - Question 22

If a cube is made using given above arrangement which word will be in opposite face of the word one?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 22

Five will be opposite to Four.
One will be opposite to Three.
Two will be opposite to Six.

SSC CGL Tier-I Practice Test - 41 - Question 23

Choose from the following diagrams (1), (2), )3) and (4) the one that illustrates the relationship among three given classes:

North America, Unites states of America , New York.


Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 23

New York is a city of North America. North America comes under United States of America

SSC CGL Tier-I Practice Test - 41 - Question 24

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. ‘R’ can be represented by 01, 44 etc. and ‘U’ can be represented by 66, 78 etc. Identify the set for the word FORK.     
     

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 24

F – 04, 11, 23, 30, 42
0 - 55, 67, 79, 86, 98
R – 01, 13, 20, 32, 44
K – 58, 65, 77, 89, 96

SSC CGL Tier-I Practice Test - 41 - Question 25

Which answer figure will complete the pattern in the question figure?

Question figure:

Answer figure:

 
   

     

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 25

Answer figure (3) will complete the question figure. In the third row the number of horizontal lines is increasing by one.

SSC CGL Tier-I Practice Test - 41 - Question 26

India replaced which of the following country to become the second largest importer of LPG in the world?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 26

According to the report in Bloomberg, India’s import of LPG, mostly used as cooking fuel, increased 23 percent during the financial year that ended Mar 31, to 11 mn tonnes. India replaced Japan from the second position whose imports slipped 3.2 percent during the same period to 10.6 mn tonnes

SSC CGL Tier-I Practice Test - 41 - Question 27

Mahmoud Abbas, who visited New Delhi recently is the President of 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 27

Mahmoud Abbas, the president of Palestine came to New Delhi on a for day state visit. India reiterated its “political support” to the Palestinian cause. It was his third state visit to India after 2008 and 2012.

SSC CGL Tier-I Practice Test - 41 - Question 28

World No – Tobacco Day is observed on

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 28

World No – Tobacco Day is observed around the world every year on May 31. It is intended to encourage a 24 hour period of abstinence from all forms of tobacco consumption around the globe.

SSC CGL Tier-I Practice Test - 41 - Question 29

Winner of the men’s singles title of the 2017 Madrid Open is 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 29

Rafael Nadal went on to win his 5 Madrid Open title, beating Dominic Thiem in the Final. With the win Nadal ties Djokovic wit 30 Masters 1000 single titles.

SSC CGL Tier-I Practice Test - 41 - Question 30

S.I unit of Luminous Intensity is 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 30

Luminous intensity is a measure of the wavelength –weighted power emitted by a light source in a particular direction per unit solid angle, based on the luminosity function, a standardized model of the sensitivity of the human eye. The SI unit of luminous intensity is the candela (cd), an SI base unit.

SSC CGL Tier-I Practice Test - 41 - Question 31

Who is the first president of New Development Bank?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 31

The New Development Bank (NDB), formely referred to as the BRICS Development Bank, is as Multilateral development Bank established by the BRICS states (Brazil, Russia, India, China and South Africa). According to the agreement on the NDB, “the bank shall support public or private projects through loans, guarantees, equity participation and other financial instruments. K.V Kamath was elected as the first President of the Bank on May 11, 2015.

SSC CGL Tier-I Practice Test - 41 - Question 32

Which of the pairs of dance forms and the states to which these are associated is INCORRECT?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 32

Mohiniyattam – Kerala

SSC CGL Tier-I Practice Test - 41 - Question 33

Currency of United Arab Emirates (UAE) is 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 33

Currency of United Arab Emirates is UAE Dirham.

SSC CGL Tier-I Practice Test - 41 - Question 34

Who is known as father of Internet?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 34

Vinton Gray Cerf is an American Internet Pioneer, who is recognized as one of the fathers of the internet, sharing this title with TCP/IP co- inventor Bob Kahn.

SSC CGL Tier-I Practice Test - 41 - Question 35

The headquarter of Canara Bank is located at

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 35

Solution : Canara Bank is one of the major public sector banks owned by the Government of India. Its headquarters is in Bengaluru. It was established at Mangalore in 1906, making it one of the oldest public sector banks in the country.

SSC CGL Tier-I Practice Test - 41 - Question 36

Khangchendzonga National Park is situated in the Indian state of

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 36

Khangchendzonga National Park also Kanchenjunga Biosphere Reserve is a National Park and a Biosphere reserve located in Sikkim, India. It was inscribed to the UNESCO World Heritage Sites list on July 17, 2016 becoming the first “Mixed Heritage” site of India. The park gets its name from the mountain Kanchenjunga which is 8,586 meters tall, the third highest peak in the world.

SSC CGL Tier-I Practice Test - 41 - Question 37

The First Indian Woman who owns the gold medal in Asian Games was

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 37

Kamaljit Sandhu is a former woman Indian athlete who won gold medal at 1970 Bangkok Asian Games in 400 m race. She ran the Distance in 57.3 seconds. She was the first Indian woman athlete to win a gold medal at any Asian games.

SSC CGL Tier-I Practice Test - 41 - Question 38

The concept of Sampoorna Kranti (Total Revolution) was given by

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 38

Jai Prakash Narayan popularly referred as Lok Nayak was an Indian Independence activist, theorist and political leader, remembered especially for leading the mid-1970s opposition against Prime Minister Indira Gandhi, for whose overthrow he called a “total revolution”

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

Which of the following Instrument is used to measure humidity?

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

A hygrometer is an Instrument used for measuring the water vapour in the atmosphere. Humidity measurement instruments usually rely on measurements of some other quantity such as temperature, pressure, mass or a mechanical or electrical change in a substance as moisture is absorbed.

SSC CGL Tier-I Practice Test - 41 - Question 40

Whose experiments supports Abiotic synthesis?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 40

The Miller-Urey experiment was a chemical experiment that stimulated the conditions thought at the time to be present on the early Earth, and tested the chemical origin of life under those conditions.

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

The Firm maximises profit by producing that quantity of output where

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

The general rule is that firm maximises profit by producing that quantity of output where marginal revenue equals marginal costs. The profit maximization issue can also be approached from the input side.

SSC CGL Tier-I Practice Test - 41 - Question 42

Which part of the constitution contains Emergency Provisions?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 42

Emergency Provisions are contained in Part Eighteen of the Constitution of India. The President of India has the power to impose emergency rule in any or all the Indian states if the security of part or all of India is threatened by “war or external aggression or armed rebellion”

SSC CGL Tier-I Practice Test - 41 - Question 43

Takla Makan desert is situated in which of the following country?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 43

The Taklamakan Desert is a desert in southwest Xinjing Uyghur Autonomous Region, northwest China.

SSC CGL Tier-I Practice Test - 41 - Question 44

Foucault Experiment is the proof of 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 44

The Foucault pendulum , named after the French physicist, is a simple device conceived as an experiment to demonstrate the rotation of the Earth.

SSC CGL Tier-I Practice Test - 41 - Question 45

The Twenty-Point Programme was first launched by

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 45

The Twenty Point Programme (TPP) was launched by the Government of India in the year 1975 and restructured in 1982.

SSC CGL Tier-I Practice Test - 41 - Question 46

TRIPS is the term associated with

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 46

The Agreement on Trade Related Aspects of Intellectual Property Rights (TRIPS) is an international agreement administered by the World Trade Organisation (WTO) that sets down minimum standards for many forms of intellectual property (IP) regulation.

SSC CGL Tier-I Practice Test - 41 - Question 47

The Largest saline water lake in India is-

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 47

The largest salt water lake is Chilka Lake, lake and lagoon in eastern Odisha state, eastern India. It is separated from the Bay of Bengal by a narrow spit.

SSC CGL Tier-I Practice Test - 41 - Question 48

The Indian Flag was designed by

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 48

Gandhiji first proposed a flag to the Indian National Congress in 1921. The flag was designed by Pingali Venkayya. In the centre was a traditional spinning wheel, symbolising Gandhi’s goal of making Indians self-reliant by fabricating their own clothing.

SSC CGL Tier-I Practice Test - 41 - Question 49

In which year Vasco-Da-Gama discovered the Sea route in India? 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 49

Solution : The Portuguese explorer Vasco da Gama discovered a sea route to India in 1497-98.

SSC CGL Tier-I Practice Test - 41 - Question 50

IOM stands for 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 50

International Organization for Migration (IOM) is an intergovernmental organization that provides services and advice concerning migration to governments and migrants, including internally displaced persons, refugees, and migrant workers.

SSC CGL Tier-I Practice Test - 41 - Question 51

A man divides his property so that his son’s share to his wife’s and wife’s share to his daughter are both in the ratio of 4 :

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 51

SSC CGL Tier-I Practice Test - 41 - Question 52

A  wire circle of radius 56 cm is bent in the form of a rectangle whose sides are in the ratio of 13 : 9. The smaller side of the rectangle is

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 52

Perimeter of rectangle = Circumference of circular wire
2(a + b) = 2πr
2(9x + 13x ) = 2 × 22/7 × 56
2× 22x = 2 × 22/7 × 56
x = 8 cm.
Smaller side = 9 × 8 = 72 cm.

SSC CGL Tier-I Practice Test - 41 - Question 53

Two types of rice costing Rs. 160 per kg and Rs. 260 per kg. In what ratio should these be mixed so that obtained mixture sold at Rs. 300 per kg to earn a profit of 20%? is

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 53

SP of the mixture = Rs. 300
Gain = 20%
∴ CP of the mixture = 300 × 100/120 = 250
Now, using the allegation method

SSC CGL Tier-I Practice Test - 41 - Question 54

Rs. 12,300 is divided between Akash and Vikas so that the amount Akash receives in 2 years is same as that what Vikas receives in 4 years. If the interest is compounded annually at the rate of 25% per annum then Akash’s share is 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 54

Let Akash get x and Vikas get (12300 - x)
Then amount received get by Akash after two years = x × (1 + 25/100)²
And amount received get by Shyam after 4 years = (12300 - x) × (1 + 25/100)⁴
Both get equal amount = x (1 + 25/100)² = (12300 - x) × (1 + 25/100)⁴
x = (12300 - x) (1 + 25/100)²
x/(12300-x)= 25/16
16 x = 25 × 12300 - 25 x
41 x = 3,07,500
x = 7,500
So, Akash will get Rs. 7,500

SSC CGL Tier-I Practice Test - 41 - Question 55

If cosec θ - cot θ = 5/4 , the value of cosec θ is

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 55

cosec θ - cot θ = 5/4 ……. (i)
cosec² θ - cot² θ = 1
(cosec θ - cot θ ) (cosec θ + cot θ )= 1
(Cosec θ + cot θ )= 1/(cosec θ - cot θ )
Cosec θ + cot θ = 1/(5/4) = 4/5 …………… (ii)
Adding both equations, we get
Cosec θ + cot θ + cosec θ - cot θ = 4/5 + 5/4
2 cosec θ = (16+25)/20 = 41/20
Cosec θ = 41/40

SSC CGL Tier-I Practice Test - 41 - Question 56

The distance between two pillars is 80 metres. The height of one pillar is twice of the other pillar. The angles of elevation of their top from the midpoint of the line connecting their feet are complementary to each other. The height of the big pillar is

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 56


In ∆ABP tan θ = x/40 ……………. (i)
In ∆ BCQ tan (90 – θ) = 2x/40
Cot θ = 2x/40 ………. (ii)
Multiplying both the equations,
Tan θ. cot θ = x/40 × 2x/40
1 = x²/800
x² = 800
x = 20√2
Height of the big pillar = 2 × 20√2 = 40√2

SSC CGL Tier-I Practice Test - 41 - Question 57

Rehman buys 360 apples for Rs. 800. Some of these apples are rotten and are thrown away. He sells the remaining apples at Rs. 4.50 each and makes a profit of Rs. 739. The percent of apples thrown away are?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 57

Let the number of bad apples = x
Cost price of (360 – x) apples = 800
Selling price (360 - x) apples = 4.5 × (360 - x ) = 1620 – 4.5 x
According to the question,
1620 – 4.5 x – 800 = 739
4.5 x = - 81
x = 18
Required percent = 18/360 × 100 = 5%

SSC CGL Tier-I Practice Test - 41 - Question 58

The average of 8 numbers is 5.95. The average of two of them is 5.4, while the average of the other two is 5.86. the average of the remaining four numbers is 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 58

Let the eight numbers be a, b, c, d, e, f, g, h
According to the question,
(a+b+c+d+e+f+g+h)/8 = 5.95
a + b + c + d + e + f + g + h = 47.6 ……………. (i)
(a+b)/2 = 5.4
a + b = 10.8 ……. (ii)
(c +d)/2 = 5.86
c + d = 11.72 …… (iii)
put the value of eq (ii) and (iii) in (i)
e + f + g + h = 47.6 – 10.8 – 11.72 = 25.08
Average = 25.08/4 = 6.27

SSC CGL Tier-I Practice Test - 41 - Question 59

A swimmer swims from a point A against a current for 12 minutes and then swims backwards in favour of the current for next 12 minutes and comes to the point B. If AB is 200 metres, the speed of current (in km per hour) is

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 59


OA = distance covered by upstream speed in 12 minutes = 12/60 (x – y )
OB = distance covered by downstream speed in 12 minutes = 12/60 (x + y )
According to the question,
OB – OA = AB
12/60 (x + y ) - 12/60 (x - y ) = 200/1000
1/5 (x + y - x + y) = 200/1000
2y = 2/10 × 5
Y = 0.5 km/hr.
Speed of current = 0.5 km/hr.

SSC CGL Tier-I Practice Test - 41 - Question 60

PQRS is a cyclic quadrilateral of which PQ is the diameter. Diagonals PR and QS intersect at A. If SQR = 25 , the PAS measures

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 60


∠PSQ = 90° 9angle made from the diameter)
So ∆PQS is a right angled triangle.
Similarly, ∠PRQ = 90°
Now in ∆ARQ
∠ARQ + ∠AQR + ∠QAR = 180°
90°+ 25° + ∠QAR = 180°
∠QAR = 65°
∠QAR = ∠PAS = 65°

SSC CGL Tier-I Practice Test - 41 - Question 61

3 sisters divided Rs. 9900 among them in such a way that the share of second is equal to 7/15 of share of other two combined. What is the share of the second one?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 61

Given share of 2nd = 7/15 of 1st and 3rd
Or (2nd )/(1st+3rd) = 7/15
1st + 2nd + 3rd = 7 + 15 = 22
22units = 9900
1 unit = 9900/22 = 450
Share of 2nd = 450 × 4 = 3150

SSC CGL Tier-I Practice Test - 41 - Question 62

∆PQR is an isosceles right angled triangle with ∠Q = 90°. On the sides PR and PQ, two equilateral triangles PRS and PQT have been constructed. The ratio of area of ∆ PQT and ∆PRS is

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 62


Let PQ = PR = 1
PR = √(1^2+1²) = √2 (using Pythagoras)
(Area of (∆PRT))/(Area of (∆PRS)) = (√3/4 (1)²)/(√3/4 (1)²) = 1/2 = 1 : 2

SSC CGL Tier-I Practice Test - 41 - Question 63

If cos²α + cos²β = 2, then the value of tan⁴α + sin⁸β is

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 63

cos2α + cos2β = 2
Put the value of α = β = 0⁰
cos20⁰ + cos20⁰ = 2
1² + 1² = 2
2 = 2 ( it satisfies the equation)
Now, tan⁴ α + sin⁵ β = tan⁴ 0⁰ + sin⁵0⁰
⇒ 0 + 0 = 0

SSC CGL Tier-I Practice Test - 41 - Question 64

Ballu gets 5 marks for each correct answer and loses 3 marks for each wrong answer. If he attempts 40 sums and obtains 80 marks. The number of sum solved correctly is

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 64

Let the ballu correct sums be x
According to the question
Correct marks – incorrect marks = Total marks
5 x – 3(40 - x) = 80
5x – 120 - 3x = 80
8x = 200
x = 25

SSC CGL Tier-I Practice Test - 41 - Question 65

A rectangular paper sheet of dimensions 33cm × 16cm is folded in the form of a cylinder along its length. What will be the volume of the cylinder?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 65


Cylinder is folded along the length of rectangle
2πR= 33
R = 33/(2 × 22)×7 = 21/4 cm
Volume of cylinder = πR²h
= 22/7 × 21/4×21/4 × 16
= 1386 cm³

SSC CGL Tier-I Practice Test - 41 - Question 66

14 Indians and 8 Chinese finish a job in 8 days. 14 Japanese and 6 Chinese finish the same job in 14 days. Given that the efficiency of each person of a particular nationality is same but different from others. One Indian, one Chinese and one Japanese will complete the work in?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 66

One day work of 14 Indians and 8 Chinese = 1/8
One day work of 14 Japnese and 6 Chinese = 1/14
Therefore, one day’s work of 14 Indian, 14 Chinese and 14 Japanese = 1/8 + 1/14 = (7 + 4)/56
= 11/56
Therefore, one day’s work of 1 Indian, 1 Chinese and 1 Japanese = 11/56 × 1/14 = 11/784
Therefore, number of days required by 1 Indian, 1 Chinese and 1 Japanese = 784/11 = 71*3/11 days

SSC CGL Tier-I Practice Test - 41 - Question 67

If (x+1/x)^2 = 3 Then the value of 

x^96 + x^66 + x^42 + x^18 + x^12 + 1 is

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 67


SSC CGL Tier-I Practice Test - 41 - Question 68

The first and last digit of a 99 digit number is 4 and the remaining digit is same. What will be the remaining digit so that the number exactly divided by 11?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 68

4 ........................................ 4
Divisibility rule of 11
Take the alternative sum of the digit in the number, read from left to right. If that is divisible by 11, so is the original number.
According to question,
4 8 4
4 8 8 8 4
is divisible by 11
= 8

SSC CGL Tier-I Practice Test - 41 - Question 69

A, B and C are three pipes connected to a tank. A and B together fill the tank in 15 hrs. B and C together fill the tank in 20 hrs.  A and C together fill the tank in 30 hrs. In how much time will C alone fill the tank? 

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 69

A + B fill in 15 hrs
B + C fill in 20 hrs
A + C fill in 30 hrs
⇒ 2 (A + B+ C) fill in (15 × 20 × 30)/(30 × 20 + 15 × 30 + 15 ×20) = 20/3 hours
∴ A + B + C fill the tank in 40/3 hours
Now, A = (A + B+ C) – (B + C) ] fills in
3/40 - 1/15 = 1/120 or 120 hours
Similarly, B fills in 3/40 - 1/20 = 1/40 or 40 hours
And C fills in 3/40 - 1/30 = 1/24 or 24 hours

SSC CGL Tier-I Practice Test - 41 - Question 70

A fraction becomes 1/6 when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes 1/3. Then, the LCM of the numerator and denominator of the said fraction, must be

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 70


SSC CGL Tier-I Practice Test - 41 - Question 71

If the simple interest on a certain sum of money for 13 months at 7*1/2% per annum exceeds the simple interest on the same sum for 7 months at 12*1/2% per annum by Rs. 42.50, then the sum of money (in Rs.) is.

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 71


SSC CGL Tier-I Practice Test - 41 - Question 72

Directions

The following bar diagram shows total number of boys and girls in five different schools. Study it carefully to answer the following questions.

Q. What is the difference between the total number of girls and the total number of boys from all school together?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 72

Total number of boys = 350 + 450 + 475 + 225 + 325 = 1825
Total number of girls = 300 + 350 + 400 + 150 + 375 = 1575
∴ Required difference = 1825 – 1575 = 250

SSC CGL Tier-I Practice Test - 41 - Question 73

Directions

The following bar diagram shows total number of boys and girls in five different schools. Study it carefully to answer the following questions.

Q. By bow much percentage is the average number of girls from all the school together is more/less than the number of boys in Bal Bharti School?

Detailed Solution for SSC CGL Tier-I Practice Test - 41 - Question 73

Average number of girls = 1575/5 = 315
Percentage of girls with respect to boys in Bal Bharti School = 315/450× 100 = 70%