SSC CGL Tier-I Practice Test - 31 - SSC CGL MCQ

# SSC CGL Tier-I Practice Test - 31 - SSC CGL MCQ

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## 100 Questions MCQ Test - SSC CGL Tier-I Practice Test - 31

SSC CGL Tier-I Practice Test - 31 for SSC CGL 2024 is part of SSC CGL preparation. The SSC CGL Tier-I Practice Test - 31 questions and answers have been prepared according to the SSC CGL exam syllabus.The SSC CGL Tier-I Practice Test - 31 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 - 31 below.
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SSC CGL Tier-I Practice Test - 31 - Question 1

### Which of the following Alloy is not used for making utensils.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 1

Magnalium (Al 95% + Mg 5%) is used for frame of Aeroplane

SSC CGL Tier-I Practice Test - 31 - Question 2

### In each of the following questions, select the related number from the given alternatives: 8/15 : 2/5 : : 16/21 : ?

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SSC CGL Tier-I Practice Test - 31 - Question 3

### Which signs should be interchanged to make the given equation correct.45 ÷ 5/3 + 10 × 2/5 - 5 = 95

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 3

If we interchange (× and ÷) then equation become correct

→ 45 × 5/3 + 10 ÷ 2/5 - 5 = 75 + 10 × 5/2 - 5 = 75 + 25 - 5 = 95

SSC CGL Tier-I Practice Test - 31 - Question 4

In a family there is a man, his wife and his five sons and their wives. Each son has 3 sons and 2 daughters.  Find the total number of members in the family?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 4

2 + 5 × 2 + 5 × 5 2 + 10 + 25 = 37

SSC CGL Tier-I Practice Test - 31 - Question 5

If North becomes South – East, South becomes North  West and so on, then east becomes?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 5

All the directions are moving in 135° clockwise. Similarly, West direction will move in 135° clockwise and becomes North East.

SSC CGL Tier-I Practice Test - 31 - Question 6

In a row of girls, Nisha is 16th from the front and in the same row Urmila is 12 from the bottom. If they interchange their positions, then Nisha will be 25th from the front. How many girls are between them?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 6

Case – I, ←15→ NishaUrmila ←11 girls → Case –II, ←15 girls→ Urmila → 8 girls ← Nisha ←Girls→ After they interchange their position, Nisha’s position will be 25th from the front and Urmila’s position will be 16th from the front. Number of girls between them → (25 - 16) - 1 = 8 girls.

SSC CGL Tier-I Practice Test - 31 - Question 7

Six friends A, B, C, D and E are sitting in a bench facing north. A sits at extreme end of the row. D, C and E are sitting in the middle. C sits second to the left of F, who is not an immediate neighbour of A. How many persons are sitting between A and F?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 7

SSC CGL Tier-I Practice Test - 31 - Question 8

UDGO : FWTL : : MXRC : ?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 8

U - F - pair of opposite letter D - W - pair of

opposite letter G - T - pair of opposite letter O -

L - pair of opposite letter Similarly, M - N - pair of opposite letter X - C - pair of opposite letter

R - I - pair of opposite letter C - X - pair of opposite letter MXRC - NCIX

SSC CGL Tier-I Practice Test - 31 - Question 9

RAM : TCO : : SHYAM : ?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 9

R A M -T C O

Similarly,

SHYAM - UJACO

SSC CGL Tier-I Practice Test - 31 - Question 10

Find the missing number from the given responses.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 10

3 × 4 + 1 = 12 + 1 = 13 4 × 5 + 1 = 20 + 1 = 21 5 × 6 + 1 = 30 + 1 = 31 6 × 7 + 1 = 42 + 1 = 43

SSC CGL Tier-I Practice Test - 31 - Question 11

A piece of paper is folded and cut as shown below in the question figures from the given answer figures, indicates how it will appear when opened?

Question figure

1,2,3,4

SSC CGL Tier-I Practice Test - 31 - Question 12

Select from the alternatives, the box that can be formed by folding the sheet shown in figure.

SSC CGL Tier-I Practice Test - 31 - Question 13

' value="" >

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below.  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., 'A' can be represented by 00, 11, 20 etc. and *P' can be represented by 59, 68, 75, etc. Similarly, you have to identify the set for the word 'LONE'.

SSC CGL Tier-I Practice Test - 31 - Question 14

If P denote ÷, θ denotes x, R denotes + and S denotes -, what is the value of 18 θ 12 P 4 R 5 S 6.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 14

18θ12P4R5S6

= 18×12÷4+5-6

=> 18×3+5-6 =>54+5-6 = 53

SSC CGL Tier-I Practice Test - 31 - Question 15

Find the odd one out.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 15

All except Brick are suits of cards.

SSC CGL Tier-I Practice Test - 31 - Question 16

n the given figure, which letter represents those Actors who are also Directors, Singers as well as Producers?

SSC CGL Tier-I Practice Test - 31 - Question 17

In a certain code language ‘379’ means ‘this is book’, ‘736’ means ‘book is worth’ and ‘578’ means ‘that are book’. What is the code for book?

SSC CGL Tier-I Practice Test - 31 - Question 18

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

SSC CGL Tier-I Practice Test - 31 - Question 19

Pole Q is 3 m to the west of pole D. Pole E is 6 m to the north of pole Q. Pole S is 5 m to the north of pole R which is 3 m to the west of pole E. In which direction pole S is with respect to pole D?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 19

SSC CGL Tier-I Practice Test - 31 - Question 20

Sonam introduced a woman in a function, “She is the wife of the only son of my father’s brother’. How is the woman related to Sonam?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 20

SSC CGL Tier-I Practice Test - 31 - Question 21

The number of boys in a class is five times the number of girls. Which of the following numbers cannot represent the total number of children in the class?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 21

The number of girls be x

The number of boys is 5x

Total number of student = x + 5x = 6x The

number which is divisible by 6 is the number of children. So, 64 is not divisible by 6.

SSC CGL Tier-I Practice Test - 31 - Question 22

Directions

In each of the questions 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 both the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts. Give answer

Statements :         Some eggs are chickens.

No chicken is a hen.

No hen is a pigeon.

Conclusions :        I. Some eggs may be hens.

II. Some chickens are not pigeons.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 22

Some eggs are chickens (I) + No chicken is a hen (E) = Some eggs are not hens (O) ⇒ Probable conclusion ⇒ Some eggs may be hens (I). Hence, conclusion I will follow. No chicken is a hen (E) + No hen is a pigeon (E) = No conclusion. Hence, conclusion II will not follow.

SSC CGL Tier-I Practice Test - 31 - Question 23

Directions

In each of the questions 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 both the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts. Give answer

Statements:          Some dogs are cats.

No camel is a rat.

All cats are camels.

Conclusions:        I. All dogs may be camels.

II. Some dogs may not be camels.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 23

For conclusion I, second statement is not required, because we find a common term ‘cat’ in the first and the third statement. Some dogs are cats (I) + All cats are camels (A) = Some dogs are camels (I) ⇒ Probable conclusions ⇒ All dogs may be camels (A) and Some dogs may not be camels(O). Hence, both conclusion I and II will follow

SSC CGL Tier-I Practice Test - 31 - Question 24

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

SSC CGL Tier-I Practice Test - 31 - Question 25

Arrange the following words in a meaningful order
.A. Egg         B. Caterpillar     C. Pupa     D. Butterfly

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 25

Egg → Caterpillar → Pupa → Butterfly

SSC CGL Tier-I Practice Test - 31 - Question 26

Find the missing figure in the series from the given answer figures.

Question figure:

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 26

The triangle moves two steps in anticlockwise direction while the circle moves one step in anticlockwise direction.

SSC CGL Tier-I Practice Test - 31 - Question 27

Which of the following sector workers are known as ‘Blue Collar workers’?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 27

Blue collar workers are those workers which engaged in those activities which results in transformation of natural products into the form of manufacturing goods.

SSC CGL Tier-I Practice Test - 31 - Question 28

Which of the following Country is the largest producer of Wheat (per quantity wise)?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 28

Production of Wheat in China is 130,190 metric tons in 2016 . India is the second largest country after china.

SSC CGL Tier-I Practice Test - 31 - Question 29

Match the Following:

Major Crops                        Largest Producer

A. Pulses                               1. Gujarat

C.  Spices                              3. Rajasthan

SSC CGL Tier-I Practice Test - 31 - Question 30

When to accomplish a particular necessity, the Demand of various goods is increased automatically into the market , it is known as ________________ .

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 30

Example of Derived demand For building a house, the demand of Painter, labour, artisans, Bricks, Cements automatically increases

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

Which of the Following Day is not observed in January?

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

Voters Day is observed on 25 January Girl Child Day is observed on 24 January Consumer Rights Day is observed on 15 March National Youth Day is observed on 12 January

SSC CGL Tier-I Practice Test - 31 - Question 32

How many States in India are Landlocked (sharing no boundaries including water with other neighbouring countries)

SSC CGL Tier-I Practice Test - 31 - Question 33

Which of the following Country did not observed their Independence Day on 15TH August?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 33

Countries     Got Independence
On North Korea 15 August 1945
South Korea 15 August 1945
Republic of Congo 15 August 1960
Costa Rica 15 September 1821

SSC CGL Tier-I Practice Test - 31 - Question 34

Which of the Following Isopleth connects places of equal height above the sea level.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 34

Isopleths are the imaginary lines on the surface of a map that show the change and variation of a particular geographical or metrological value on the surface of earth or the atmosphere. Isohypse - connects places of equal height above the sea level.Isohaline – connects places of equal Sunshine Isohyet – Connects places of equal Rainfall Isobath – Connects places of equal depth

SSC CGL Tier-I Practice Test - 31 - Question 35

Match the following inventions with it’s Inventors.

A. Microscope                      1. D.G. Fahrenheit

B. Thermometer                    2. D. Hughes

C. Barometer                        3. Z. Jansen

D. Microphone                     4. E. Torricelli

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 35

Microscope was invented by Z. Jansen in 1590 Thermometer was invented by Daniel Gabriel Fahrenheit in 1714 Barometer was invented by E. Torricelli in 1644 Microphone was invented by David Hughes in 1878

SSC CGL Tier-I Practice Test - 31 - Question 36

Which of the following glass absorbs ultraviolet rays which are harmful for the eyes.

SSC CGL Tier-I Practice Test - 31 - Question 37

Which of the following Alloy is not used for making utensils.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 37

Deficiency of Vitamin B₃ causes whitening of hair and mentally retardness. Deficiency of Vitamin B₅ causes pellagra or 4-D Syndrome Deficiency of Vitamin B₇ causes Paralysis, body pain and hair falling Deficiency of Vitamin B₂ causes Cracking of skin, red-dish eye, cracking of tongue.

SSC CGL Tier-I Practice Test - 31 - Question 38

Whitening of hair is caused by the deficiency of _________?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 38

The Parliament of both Pakistan and France are National Assemblies. The Parliament of Nepal is Rashtriya Panchayat. The Parliament of USA is Congress (House of Representatives and Senate).

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

Which of the following Country’s Parliament is National Assembly?

A) Pakistan       B) France       C) Nepal      D) USA

SSC CGL Tier-I Practice Test - 31 - Question 40

Recently which country successfully launches its First X-ray space telescope to study black holes, pulsars and gamma-ray bursts.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 40

China successfully launches its First X-ray space telescope to study black holes, pulsars and gammaray bursts. The telescope named ‘Insight’ was launched from Jiuquan Satellite Launch centre in northwest China’s Gobi desert.

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

From the following, recently which bank was restricted by Reserve Bank of India on banking activities such as from lending, hiring and expanding branches.

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

The Reserve Bank of India (RBI) has placed Central Bank of India under Prompt Corrective Action (PCA) which puts restricts on banking activities.

SSC CGL Tier-I Practice Test - 31 - Question 42

The  symbol ‘₹’ of Rupee is designed by:

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 42

The new symbol of Rupee is designed by D. Udaya Kumar, a post graduate of IIT-Bombay, was finally selected by the Union Cabinet on July 15,2010 .

SSC CGL Tier-I Practice Test - 31 - Question 43

The highest Lake of India is

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 43

Devtal Lake is the highest lake situated in Gadhwal (Uttarakhand) Chilka Lake is the largest Saline Water lake in Orissa. Cholamu Lake is the India’s highest lake, located at a mighty elevation of 18k feet from the sea level in North Sikkim, India. Dal Lake is the famous lake in Srinagar, Kashmir. It is the second largest lake of Jammu & Kashmir. It is famous for Shikare or houseboat.

SSC CGL Tier-I Practice Test - 31 - Question 44

Which is the most Populated city in the World?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 44

As per the Census 2014, Tokyo (Japan) is the most populated city with approx. 37,833,000 population

SSC CGL Tier-I Practice Test - 31 - Question 45

Which Country shares the longest boundary with India?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 45

Bangladesh and India share a 4,096-kilometer (2,545-mile)-long international border, the fifth-longest land border in the world, including 262 km in Assam, 856 km in Tripura, 180 km in Mizoram, 443 km in Meghalaya, and 2,217 km in Bengal.

SSC CGL Tier-I Practice Test - 31 - Question 46

Who among the following is the Youngest President of Indian National Congress?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 46

In 1923, at an age of 35 Abul kalam Azad became the youngest person to serve as the President of INC.

SSC CGL Tier-I Practice Test - 31 - Question 47

Select the correct direction of Sirocco storm.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 47

Sirocco originates in the Sahara and blows across the Mediterranean Sea into southern Europe. It arises from a warm, dry, tropical airmass in the Arabian or Sahara deserts that is pulled northward by low pressure cells moving eastward across the Mediterranean Sea.

SSC CGL Tier-I Practice Test - 31 - Question 48

Who said, “The State exists because crime exists in society otherwise there would be no need of a State”?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 48

Herbert Spencer in his ‘Social Statics’(1851) argued that the state is the offspring of evil, bearing about it all the marks of its parentage. It exists because crime exists. It is not strong – or, despotic – when crime is great; there is more liberty – less government – when crime diminishes.

SSC CGL Tier-I Practice Test - 31 - Question 49

Canalised list of items in foreign trade of India refers to

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 49

The Export – import policy announced on March 31, 1992 said that all goods, except those coming under the negative list, could be freely imported and exported. The negative list consisted of goods, the import or export of which was prohibited; restricted through licensing or otherwise; or canalised. Canalised items can be imported by Canalizing agency only and not by an individual importer

SSC CGL Tier-I Practice Test - 31 - Question 50

When was the Minimum wages act enacted in India?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 50

The Minimum wages act, 1948 was enacted to safeguard the interests of workers, mostly in the unorganised sector by providing for the fixation of minimum wages in certain specified employments. It binds the employers to pay their workers the minimum wages fixed under the Act from time to time.

SSC CGL Tier-I Practice Test - 31 - Question 51

An aspect of Input/output controller of data logic is called

SSC CGL Tier-I Practice Test - 31 - Question 52

Work Efficiency of Ramu and Kalu are in the ratio of 17:15. Both of them worked together and finished the  work in Eight and a half days. In how many days, the total work will be finished if Ramu works alone.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 52

Work Efficiency of Ramu : Kalu = 17: 15 Total work = (17+15) = 32 Total work done = 32 × 8.5 = 272 Now, Time taken by Ramu = 272/17 = 16 days

SSC CGL Tier-I Practice Test - 31 - Question 53

If A∛36 + B∛6 + C = 1/(∛36  + ∛6  +1), find the value of A+B+C

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 53

1/(∛36 + ∛6 +1) (NOTE: ∛36 =

〖36〗^(1/3) = 〖〖(6〗^2 )〗^(1/(3 )) = 〖〖(6〗^(1/3))〗^2 = 1/(〖〖(6〗^(1/3))〗^2+ 6^(1/3)+1²) Then, Multiply and Divide

numerator and denominator by (6^(1/3)-1) We get, ((6^(1/3)-1))/((6^(1/3)-1) {〖〖(6〗^(1/3))〗^2+ 6^(1/3) ×1 + 1^2 } ) Now, (a³ - b³) = (a-b) (a²+ab+b²) ((6^(1/3)-1))/(〖〖(6〗^(1/3))〗^3-1) = (∛6-1)/(6-1) (∛6-1)/5 = (∛6 )/5- 1/5 A∛36 + B∛6 + C = 0 + (∛6 )/5- 1/5 From here we get the vales of A= 0 B= 1/5 C= - 1/5 A+B+C = 0 + 1/5 - 1/5 = 0

SSC CGL Tier-I Practice Test - 31 - Question 54

x-y√3=8 and √3x+y=9 Find the angle between both the lines when they intersect each other

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 54

x-y√3=8 √3x+y=9 y√3=x-8 y= -√3x+9 y= x/√3 -

8/√3 Slope, m₁ = 1/(√3) , Slope, m₂ = √3 If two

lines are intersect each other at same point,

Then Slope m₁ and Slope m₂ makes the angle

θ is equal to Tan θ = |(m₁-m₂)/(1+ m₁m₂)| = |(1/√3- √3)/(1+(-√3 × 1/√3))| = |(1-3)/0| = infinity Tan θ= infinity Then θ = 90⁰

SSC CGL Tier-I Practice Test - 31 - Question 55

he Helicopter flies along a Square field @ 100, 200, 300 and 400 km/hours respectively. Then find the Average speed of the helicopter during the whole journey?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 55

Concept of Average Speed: LCM of 100, 200, 300 and 400 = 1200 Now, Average Speed = (1200 ×4)/(1200/100+1200/200+1200/300+1200/400) = (1200 ×4)/25= 192 kmph

SSC CGL Tier-I Practice Test - 31 - Question 56

If 80% of A = 50% of B and B = x% of A, find the value of x?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 56

80/100 × A = 50/100 × B 8A = 5B B = 8/5 A x = (B ×100)/A x = (8A ×100)/5A = 160

SSC CGL Tier-I Practice Test - 31 - Question 57

AB and AC are two tangents of a circle of centre O with radius 5cm. Another tangent is drawn on the circle which intersects AB and AC at m and n respectively. Find the shortest length of mn, if the length of tangent AB is 12cm?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 57

AO² = AB² + OB² AO² = 5² + 12² = 169 AO = 13cm Let P be the point which divides MN in two equal parts Now, In Triangle BOA and MPA ∠BAO = ∠MAP and ∠OBA = ∠MPA Therefore both the Triangles are similar, Hence AP/AB = MP/OB 8/12 = MP/5 MP = 10/3 Length of the Shortest Tangent = 2 ×10/3 = 20/3 cm

SSC CGL Tier-I Practice Test - 31 - Question 58

A Shopkeeper gives 4 articles free on the purchase of every 12 articles. He also allow a discount of 20% to customer and still earn 20% profit. Find the ratio of the cost price to the marked price of the article?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 58

Offer of the Shopkeeper: Buy 12 get 4 free = 16 articles Let the marked price of 1 article be Rs. 10 Marked Price of 16 articles = 10× 16 = 160 Selling Price of 12 articles = 10 × 12 = 120 Actual Selling Price of 12 articles (less discount) = 120 – 24 = 96 Profit % = 20 % ∴ Cost Price = 96 × 100/120 = 80 Cost Price : Marked Price = 80 : 160 = 1:2

SSC CGL Tier-I Practice Test - 31 - Question 59

The simple interest on a sum for 5 years is one-fourth of the sum. The rate of interest per annum is.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 59

(Simple Interest)/Principal = 1/4 ∴ Rate = (S.I × 100)/(Time × Principal) = (1 × 100)/(4 × 5) = 5% per annum.

SSC CGL Tier-I Practice Test - 31 - Question 60

The Government issued Aaadhar card which is of 6-Digit number. Ramu was last to get the Aaadhar card and so he had the last possible Aadhar Card number.

He was afraid that he will forget his number so he wrote down the number 1234 in his Diary alongwith the way to arrive at the number. When the card number is divided by 3,4,5 and 6, then it gives the remainder individually the number which was notes in the diary. Find out his aadhar number?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 60

LCM of 3,4,5,6 = 60

Common Remainder = (3-1), (4-2), (5-3), (6-4) is “2” Now the 6 digit greater number = 999999

When divided by 60 gives Remainder ‘39’

Therefore, (999999-39) is exactly divided by 60 Now, Aadhar Number is = 999960 – common Remainder = 999960 – 2 = 999958

SSC CGL Tier-I Practice Test - 31 - Question 61

How many Zeros can be formed by multiplying 10×20×30×40×…………….× 1000

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 61

10×20×30×40×…………….× 1000 10×1 × 10×2 × 10×3 × 10×4 × …………….× 10×100 10 × 1×2×3×4×……..× 100 Now, if 10 = 1 zeroes 10 = 2 zeroes 10 = 3 zeroes Then, 10 = 100 zeroes ……………..(i) Now 1×2×3×4×……..× 100 100/5 = 20 20/5 = 4 =(20+4) = 24 zeroes ∴ Required number of Zeroes = 100+ 24 = 124

SSC CGL Tier-I Practice Test - 31 - Question 62

A squirrel climb a tree by revolving around it. Find the distance covered by a squirrel on a tree whose base diameter and height are 5 x 1/11m and 48m. The Squirrel makes exactly 4 complete turn around the tree while it touches the bottom to top of the tree?

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 62

Circumference of the tree becomes the Breath Circumference = 2πr = 2r ×π = 56/11×22/7 = 16m

covered by the squirrel = 20×4= 80m

SSC CGL Tier-I Practice Test - 31 - Question 63

Find the Sum of all the even Factors of ‘240’

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 63

Factors of 240 = 2 × 2 × 2 × 2 × 3 × 5 Sum of All factors = (2⁰ + 2¹ + 2² + 2³ + 2⁴) × (3⁰+ 3¹) × (5⁰+ 5¹) Sum of Even Factors = (2¹ + 2² + 2³ + 2⁴) × (3⁰ + 3¹) × (5⁰+ 5¹) = 30 × 4 × 6 = 720

SSC CGL Tier-I Practice Test - 31 - Question 64

Find the value of 7 + 77 + 777 + 777 + …………..+ n terms 1.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 64

7 + 77 + 777 + 777 +…………..+

n terms 7(1 + 11 + 111 + ………………………+

n terms) Multiply and divide by 9 9/9 × 7(1 + 11 + 111 +………………………+

n terms) 7/9 × (9 + 99 + 999 + …………………+ n terms) 7/9 × [(10 - 1) + (100 - 1) + (1000 - 1) +…………… +

n terms] 7/9 × [(10 + 10² + 10³ +………+ n terms) – (1+1+1+………+

terms)] 7/9 × [(10 + 10² + 10³ +………+ n terms) – n] In the series [10 + 10² + 10³ +………+ n terms]

First term, a = 10 common ratio, r = 10 Sum of n terms = (a(r -1))/((r-1))

∴ Required answer = 7/9 [((10(10 -1))/9 - n)]

SSC CGL Tier-I Practice Test - 31 - Question 65

If SecA + TanA = 2√2 + 9, then find the value of Sin A + Cos A

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 65

Sec²A – Tan²A = 1 (SecA – TanA)

(SecA + TanA) = 1 (SecA – TanA) (2√2 + 9) = 1 (SecA - TanA) = 1/(2√2 + 9) SecA – TanA = 9 - 2√2 ………………

(i) SecA + TanA = 9 + 2√2 ………………

(ii) By solving the two equations e get, 2SecA = 18 SecA = 9 CosA = 1/9 Sin²A + Cos²A = 1 Sin²A + 1/81 = 1 Sin²A = 1 - 1/81 Sin²A = 80/81 SinA= (4√5)/9 SinA + CosA = (4√5)/9+ 1/9 SinA + CosA = (1+4√5)/9

SSC CGL Tier-I Practice Test - 31 - Question 66

The cost of 3 mugs and 2 buckets is Rs.50 and that of 2 mugs and 3 bucket is Rs.60. Find the cost of 2 mugs and 5 buckets.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 66

Let cost of a mug and a bucket be x and y, respectively.

As per the question, 3x + 2y = 50 2x + 3y = 60

Solving the equation, for x and y, x=Rs.6 and y=Rs.16 Cost of 2 mugs and 3 buckets = 2x + 3y = 2 × 6 + 5 × 16 = Rs.92

SSC CGL Tier-I Practice Test - 31 - Question 67

If two times of A is equal to three times of B and also equal to four times of C, then A : B : C is

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 67

According to the question,
2A = 3B ⇒ B = 2/3 A And 2A = 4C ⇒ C = 1/2 A ∴ A : B : C = A : 2/3 A : 1/2 A = 6 : 4 : 3

SSC CGL Tier-I Practice Test - 31 - Question 68

If 78*3945 is divisible by 11, where * is a digit, then * is equal to

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 68

A number is divisible by 11, if the difference of

sum of its digit at even places is either 0 or a

number divisible by 11. ( 5 + 9 + * + 7 ) – ( 4 + 3 + 8 ) = 0 or multiple of 11 ⇒ 21 - * - 15 ∴ * +

6 = a multiple of 11 ∴ * = 5

SSC CGL Tier-I Practice Test - 31 - Question 69

A, B and C are three pipes connected to a tank. A and B together fill the tank in 30 hours, B and C together fill the tank in 40 hours. A and C together fill the tank in 60 hours. In how much time will A, B and C fill the tank separately

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 69

A+B fill in 30 hrs B+C fill in 40 hrs A + C fill in

60 hrs 2(A+B+C) fill in (30×40×60 )/(30×40+

40×60+60×30) = 40/3 hours Therefore A + B +

C fill the tank in 80/3 hours Now, A = (A+B+C)

– (B+C) fills in 3/80 - 1/40 = 1/80 = 80 hours

Similarly B fills in 3/80 - 1/60 = 1/24 = 48 hours

And C fills in 3/80 - 1/30 = 1/240 = 240 hours .

SSC CGL Tier-I Practice Test - 31 - Question 70

A person takes loan of Rs. 20,000 on the condition that he would pay it in the monthly instalment of Rs. 2,500. He has to pay interest @ 16% on the outstanding balances, then find out the average rate of interest received by the creditor per annum.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 70

Monthly instalment = Rs. 2,500 Total loan =

Rs. 20,000 ∴ Number of instalment =

20,000/2,500 = 8 Once the payment starts

outstanding balances will go on diminishing.

Hence, from point of view of interest, principal

= 20,000 + 17,500 + 15,000 + 12,500 + 10,000 + 7,500 + 5,000 + 2,500 = Rs 90,000 ∴ Interest on Rs. 90,000 for 1 month at 16% p.a. = (90,000 × 16 × 1)/(100 × 12) = Rs. 1,200 Average rate of interest = (100 × I)/(P × T) T = 8 months = 8/12 year = (1200 × 100 × 12)/(20,000 × 8) = 9%

SSC CGL Tier-I Practice Test - 31 - Question 71

Divide Rs. 35,240 into two parts such that the first part after 12 years is equal to the second part after 8 years, compound interest being 25% per annum compounded yearly.

Detailed Solution for SSC CGL Tier-I Practice Test - 31 - Question 71

Let the first part be x and the second part be y

The first part after 12 years = x ( 1 + 25/100 )¹²

The second part after 8 years = y ( 1 + 25/100 )⁸ As given in the problem these two amounts are equal. So, y ( 1 + 25/100 )⁸ = x ( 1 +

25/100 )¹² Or y/x = ( 1 + 25/100 )⁴ Or y/x = 625/256 We have the x + y = Rs. 35,240 Using

the ratio formula, y = 625/(625 + 256) × 35,240 = Rs. 25,000 x = 256/(625 + 256) × 35,240 = Rs. 10,240