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This mock test of SSC CPO Mock Test (Paper 1) - 4 for SSC helps you for every SSC entrance exam.
This contains 200 Multiple Choice Questions for SSC SSC CPO Mock Test (Paper 1) - 4 (mcq) to study with solutions a complete question bank.
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students definitely take this SSC CPO Mock Test (Paper 1) - 4 exercise for a better result in the exam. You can find other SSC CPO Mock Test (Paper 1) - 4 extra questions,
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QUESTION: 1

ACEG : JLNP :: BDFH : ?

Solution:

QUESTION: 2

Solution:

QUESTION: 3

Solution:

QUESTION: 4

Choose the word which is least like the other words in the group.

Solution:

QUESTION: 5

Choose the pair in which the words are differently related .

Solution:

QUESTION: 6

Choose the group of letters which is different from others.

Solution:

QUESTION: 7

Complete the analogous pair.

Warm : Hot :: ? : Anger

Warm : Hot :: ? : Anger

Solution:

QUESTION: 8

Complete the analogous pair.

Judges : Bench :: Teachers : ?

Judges : Bench :: Teachers : ?

Solution:

QUESTION: 9

Complete the analogous pair.

Nose : Man : : Gill :?

Nose : Man : : Gill :?

Solution:

QUESTION: 10

Complete the analogous pair.

Court : Justice : : School : ?

Court : Justice : : School : ?

Solution:

QUESTION: 11

A clock is so placed that at 12 noon its minute hand points towards north-east. In which direction does its hour hand point at 1.30 p.m. ?

Solution:

QUESTION: 12

Study the following and answer the question based on it.

1. A,B,C,D,E,F and G are sitting on a wall and they all facing to north.

2. C is at the right of D.

3. B is at the end and E is his neighbour.

4. G is sitting between E and F.

5. D is third from southen end.

Which one of the following should replace with C so that he may be third from northern?

1. A,B,C,D,E,F and G are sitting on a wall and they all facing to north.

2. C is at the right of D.

3. B is at the end and E is his neighbour.

4. G is sitting between E and F.

5. D is third from southen end.

Which one of the following should replace with C so that he may be third from northern?

Solution:

QUESTION: 13

Find the number of squares in the given figure.

Solution:

QUESTION: 14

Find the missing character.

Solution:
The numbers in the first row form a series 1^{2}, 2^{2}, 3^{2}.

So, missing number in the first row =4^{2}=16.

The numbers in the second row form the series, 1, 2, 3, 4.

The numbers in the third row form the series 2, 4, 6.

So, missing number in the third row =6+2=8.

So, missing number in the first row =4

The numbers in the second row form the series, 1, 2, 3, 4.

The numbers in the third row form the series 2, 4, 6.

So, missing number in the third row =6+2=8.

QUESTION: 15

If the second half of the following alphabets is written in the reverse order, which will be the 10th letter to the left of 9th letter counting from the right end ?

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Solution:

QUESTION: 16

Group the following figures into three classes on the basis of identical properties.

Solution:

QUESTION: 17

Find the missing character.

Solution:
In fig. (A), ${6}^{2}=\mathrm{36,}\phantom{\rule{0.5em}{0ex}}{8}^{2}=\mathrm{64,}\phantom{\rule{0.5em}{0ex}}{5}^{2}=\mathrm{25,}\phantom{\rule{0.5em}{0ex}}{7}^{2}=49.$ And, 6+8+5+7=26.

In fig. (B), ${3}^{2}=\mathrm{9,}\phantom{\rule{0.5em}{0ex}}{5}^{2}=\mathrm{25,}\phantom{\rule{0.5em}{0ex}}{4}^{2}=\mathrm{16,}\phantom{\rule{0.5em}{0ex}}{9}^{2}=81.$ And, 3+5+4+9=21.

In fig. (C), ${5}^{2}=\mathrm{25,}\phantom{\rule{0.5em}{0ex}}{12}^{2}=\mathrm{144,}\phantom{\rule{0.5em}{0ex}}{6}^{2}=\mathrm{36,}\phantom{\rule{0.5em}{0ex}}{8}^{2}=64.$

So, missing number = 5+12+6+8=31.

In fig. (B), ${3}^{2}=\mathrm{9,}\phantom{\rule{0.5em}{0ex}}{5}^{2}=\mathrm{25,}\phantom{\rule{0.5em}{0ex}}{4}^{2}=\mathrm{16,}\phantom{\rule{0.5em}{0ex}}{9}^{2}=81.$ And, 3+5+4+9=21.

In fig. (C), ${5}^{2}=\mathrm{25,}\phantom{\rule{0.5em}{0ex}}{12}^{2}=\mathrm{144,}\phantom{\rule{0.5em}{0ex}}{6}^{2}=\mathrm{36,}\phantom{\rule{0.5em}{0ex}}{8}^{2}=64.$

So, missing number = 5+12+6+8=31.

QUESTION: 18

Find the missing character.

Solution:
The above three numbers are multiples of the number at the bottom.

Clearly, 36, 18 and 27 are all multiples of 9.

So, the missing number is 9.

Clearly, 36, 18 and 27 are all multiples of 9.

So, the missing number is 9.

QUESTION: 19

Which is the one that does not belong to the group?

Solution:

QUESTION: 20

Choose the odd one out.

Solution:

QUESTION: 21

If BINARY is coded as DHPZTX then how will KIDNAP be coded?

Solution:

B | I | N | A | R | Y |

â†“+1 | â†‘ | â†“+1 | â†‘ | â†“+1 | â†‘ |

D | H | P | Z | T | X |

K | I | D | N | A | P |

â†“+1 | â†‘ | â†“+1 | â†‘ | â†“+1 | â†‘ |

M | H | F | M | C | O |

QUESTION: 22

The diagram below shows group of people earning their living by various means viz.

*A* = By working in office

*B* = By working in factories

*C* = By running their own business

Which portion in the diagram depicts people who are earning their living from their own business as well as by working in offices?

Which portion in the diagram depicts people who are earning their living from their own business as well as by working in offices?

Solution:

QUESTION: 23

The given diagram shows the number of students who failed in an examination comprising papers in English, Hindi and Mathematics. The total number of students who took the test is 500. What is the percentage of students who failed in atleast two subject ?

Solution:

Number of students who failed at least two subjects

= 10 + 5 + 12 + 12 = 39

Hence, required percentage = 39 500 x 100 = 7.8

QUESTION: 24

If the first and second letters of the 'UNPRECEDENTED' are interchanged with the last and second last letters and similarly the third and the fourth letters are interchanged with the third and the fourth letters from the last respectively and so on, then what will be the 7th letter to the right of the 3rd letter from the left?

Solution:
U N P R E C E D E N T E D is represented as:

Third letter from left is T and 7th letter to the right of T is R

Third letter from left is T and 7th letter to the right of T is R

QUESTION: 25

If + means -, - means x, x means ÷ and ÷ means +, then

36 x 2+8÷ 8=?

Solution:

QUESTION: 26

If - means x, x means +, + means ÷ and ÷ means -, then

40 x 12 + 3 - 6 ÷ 60 = ?

Solution:

Given expression : 40 + 12 ÷ 3 x 6 - 60 = 40 + 4 x 6 - 60 = 40 + 24 - 60 = 4

QUESTION: 27

If 'x' means '-', '+' means '÷', '-' means '+' and '÷' means 'x' then what is the value of 136 + 4 ÷ 5 - 68 x 75?

Solution:

136 ÷ 4 x 5 + 68 - 75

= 34 x 5 - 7

⇒ 170 - 7 = 163

QUESTION: 28

Choose the odd one out.

Solution:

QUESTION: 29

Find the odd number from the given alternatives.

Solution:

QUESTION: 30

Choose the odd one out.

Solution:

QUESTION: 31

Choose the missing term out of the given alternatives.

Z, U, Q, ?, L

Z, U, Q, ?, L

Solution:

QUESTION: 32

Find out the term in the number series which is wrong.

5, 27, 61, 122, 213, 340, 509

5, 27, 61, 122, 213, 340, 509

Solution:
The terms of the series are (2^{3} - 3), (3^{3} - 3), (4^{3} - 3), (5^{3} - 3), (6^{3} - 3), (7^{3} - 3), (8^{3} -3).

So, 27 is wrong and must be replaced (3^{3} - 3) i.e. 24

So, 27 is wrong and must be replaced (3

QUESTION: 33

Choose the missing term out of the given alternatives.

C4X, F9U, I16R, ?

C4X, F9U, I16R, ?

Solution:

QUESTION: 34

Find the wrong number in the series.

2, 6, 16, 38, 84, 176, 368

Solution:

2x2=4+2=6

6x2=12+4=16

16x2=32+6=38

38x2=76+8=84

84x2=168+10=__178__

178x2=356+12=368

.......

QUESTION: 35

Find out the term in the number series which is wrong.

1, 2, 5, 10, 17, 28

1, 2, 5, 10, 17, 28

Solution:

QUESTION: 36

Choose the correct alternative that will continue the same pattern and fill in the blank.

13, 32, 24, 43, 35, (....), 46, 65, 57, 76

13, 32, 24, 43, 35, (....), 46, 65, 57, 76

Solution:

QUESTION: 37

Below is given statement followed by two conclusions numbered I and II. You have to consider the statement and the following conclusions and decide which of the conclusions is follows in the statement :

Statements : a. All articles are coats.

b. Some coats are tables.

Conclusions : I. Some articles are tables.

II. Some tables are articles.

Statements : a. All articles are coats.

b. Some coats are tables.

Conclusions : I. Some articles are tables.

II. Some tables are articles.

Solution:

QUESTION: 38

Below is given statement followed by two assumptions numbered I and II. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement :

Statements :

The district authority has decided to set up wireless communication along the coastline in view of the cyclonic storm hitting the coast.

Assumptions :

I. The telephone communications may be paralyzed due to the cyclonic storm.

II. The wireless communication systems may be able to withstand the fury of the cyclonic storm.

Statements :

The district authority has decided to set up wireless communication along the coastline in view of the cyclonic storm hitting the coast.

Assumptions :

I. The telephone communications may be paralyzed due to the cyclonic storm.

II. The wireless communication systems may be able to withstand the fury of the cyclonic storm.

Solution:

QUESTION: 39

If 'red means 'white', 'white' means 'black', 'black' means 'yellow', 'yellow' means 'green' and 'green' means 'blue' and 'blue means 'indigo'; then which of the following will represent the colour of sunflower?

Solution:

QUESTION: 40

Bus for Chikodi village is after every hour from 7.30 am to 12.30 pm but after that it is after every one and half hours gap. One bus has gone half an hour ago, Vilas was told by a depot clerk at 5.30 pm. When was the next bus scheduled ?

Solution:

QUESTION: 41

In each question, five words are given. Four of them are alike in some way. One is different from them.Which is the one that does not belong to that group?

Solution:

QUESTION: 42

From the given alternatives, find the word which cannot be formed from the letters used in the given word.

INFRASTRUCTURE

INFRASTRUCTURE

Solution:

QUESTION: 43

One side of a right triangle measures 12 cm and the difference between the hypotenuse and the other side is 8 cm. The area of the triangle is

Solution:

QUESTION: 44

Fill in the blank with appropriate word.

I listened, but I had no idea what he was ........about.

I listened, but I had no idea what he was ........about.

Solution:

QUESTION: 45

**In the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of fig. (X) would complete the pattern.**

Solution:

QUESTION: 46

**In each question below is given a group of letters followed by four combinations of digits numbered (A), (B), (C) and (D). You have to find which of the combinations correctly represents the group of letters based on the following coding system and mark the number of that combination as the answer. If none of the four combinations correctly represents the group of letters, mark (E) i.e. 'None of these' as the answer.
Letter : B L C X P D S K M E
Digits : 7 1 0 8 9 3 6 2 5 4**

XCMSLPK

Solution:

X → 8, C → 0, M → 5, S → 6 L → 1, P → 9, K → 2 XCMSLPK → 8056192

QUESTION: 47

**In each question below is given a group of letters followed by four combinations of digits numbered (A), (B), (C) and (D). You have to find which of the combinations correctly represents the group of letters based on the following coding system and mark the number of that combination as the answer. If none of the four combinations correctly represents the group of letters, mark (E) i.e. 'None of these' as the answer.
Letter : B L C X P D S K M E
Digits : 7 1 0 8 9 3 6 2 5 4**

KCDEBPS

Solution:

QUESTION: 48

Complete the analogous pair.

31. 11 : 145 :: 14 : ?

Solution:

QUESTION: 49

**Select the correct mirror image of the figure (X) from amongst the given alternatives.**

Solution:

QUESTION: 50

**Find out from amongst the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.**

Solution:

QUESTION: 51

**Each of the following question consist of five problem figure marked 1, 2, 3, 4, 5 followed by Answer figure A, B, C, D and E. Select of figure from the answer figure which will continue the same series as given in the problem figure.**

Solution:

QUESTION: 52

**In the questions, figure (X) is embedded in one of following figures. Find out the correct alternative.**

Solution:

QUESTION: 53

Which one of the following states has a lower percentage decadal growth (1991-2001) than the other three ?

Solution:

QUESTION: 54

Which of the following is not included in Article 19 of the Constitution?

Solution:

QUESTION: 55

The Attorney-General holds office:

Solution:

QUESTION: 56

Can there be a common high Court for two or more States?

Solution:

QUESTION: 57

Which city of India has the largest Zoological garden?

Solution:

QUESTION: 58

Bit refers to a:

Solution:

QUESTION: 59

Which of the following packages is used for composition in printing press?

Solution:

QUESTION: 60

The Kisan Credit Card Scheme, introduced in 1998-99,is an innovative mechanism for facilitating.....:

Solution:

QUESTION: 61

Corporate Tax is imposed by—

Solution:

QUESTION: 62

What is Zero Coupon Bond?

Solution:

QUESTION: 63

Which of the following schemes was launched a few years back to provide wage employment to the rural people in India (The programme is being run successfully in addition to NREGA)?

Solution:

QUESTION: 64

By which Bill does the government purpose collection of revenues for a year?

Solution:

QUESTION: 65

Coal is considered as a

Solution:

QUESTION: 66

Compared to the rich the poor save-

Solution:

QUESTION: 67

Antyodaya scheme is meant to

Solution:

QUESTION: 68

Which temperature zone is known as the surplus zone ?

Solution:

QUESTION: 69

The vertical transfer of energy through the atmosphere is called :

Solution:

QUESTION: 70

Which is the poorest country among the following?

Solution:

QUESTION: 71

The length of the Sueze canal is :

Solution:

QUESTION: 72

Indian Naval Academy is located at;

Solution:

QUESTION: 73

What lead Nawab Sirajuddaulah to attack Fort William in Calcutta in 1756

Solution:

QUESTION: 74

The Capital of the Chola rulers during the Sangam period was-

Solution:

QUESTION: 75

The Swaraj Party was established in -

Solution:

QUESTION: 76

Who among the following was the head of the military department under Delhi Sultans ?

Solution:

QUESTION: 77

Who was Vrajapati during the early Vedic period

Solution:

QUESTION: 78

Which one of the following is NOT true about fruits ?

Solution:

QUESTION: 79

According to a legend Lord Krishna lifted Mount Govardhana to crush the pride of :

Solution:

QUESTION: 80

According to the World Health Organisation the disease which causes the death of the largest number of people today is:

Solution:

QUESTION: 81

Which one of the following fuels causes minimum environmental pollution?

Solution:

QUESTION: 82

The half-life of a radioactive element is a 5 years. The fraction the radioactive substance that remains after 20 years is

Solution:

QUESTION: 83

Consider the following statements about accetylene:

1. It is used in welding industry

2. It is a raw material for preparing plastics.

3. It is easily obtained by mixing silicon carbide and water.

Of these statements

Solution:

QUESTION: 84

An aqueous solution of copper sulphate is acidic in nature because the salt undergoes

Solution:

QUESTION: 85

When the same note is played on a sitar and a flute, the sound produced can be distinguished from each other because of the difference in

Solution:

QUESTION: 86

When water is heated from 0 C to 10 * C, its volume

Solution:

QUESTION: 87

The group of small pieces of rock revolving round the between the orbits of Mars and Jupiter are called

Solution:

QUESTION: 88

Renowned _______actress Lakshmi Devi Kanakala passed away recently.

Solution:

QUESTION: 89

The best known and most commonly used artificial fibre is :

Solution:

QUESTION: 90

A car has a speedometer to measure the :

Solution:

QUESTION: 91

A person in normal health requires per day :

Solution:

QUESTION: 92

The time period of a pendulum on moon

Solution:

QUESTION: 93

Anemometer measures :

Solution:

QUESTION: 94

Internet operations could transmit :

Solution:

QUESTION: 95

Which one of the following is a contagious disease ?

Solution:

QUESTION: 96

Which of the following machines will fail to give satisfactory result in vacuum ?

Solution:

QUESTION: 97

During processing, the maximum amount of food substance lost is :

Solution:

QUESTION: 98

India's National Cricket Championship is :

Solution:

QUESTION: 99

Which of the following is the best conductor of electric current ?

Solution:

QUESTION: 100

South Asian Association for Regional Co-operation (SAARC) was formed in:

Solution:

QUESTION: 101

Which country has attained the top position in the latest World FIFA Rankings?

Solution:

QUESTION: 102

How is the new membership of United Naitons affected?

Solution:

QUESTION: 103

Akbar will turn 50 when his son Jehangir turns 18. What will be Akbar's age when it will be exactly 5 times that of Jehangir?

Solution:

Let us suppose when jahangir's age will be 5 times that of akabar's age will be 50 - x

Hence jahangir's age wil be 18 - x

Hence (50 - x) = 5(18 - x)

⇒ 50 - x = 90 - 5x

⇒ 4x = 40

⇒ x = 10

Hence akbar's age will be 50 - 10 or 40 years when jahangir's age was 8 years

QUESTION: 104

A classroom has equal number of boys and girls.8 girls left to play Kho-Kho,leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially?

Solution:

Let number of boy and girls in class are x & y

Then, x = 2 (y - 8)

or x = 2y - 16

again, x = y

or 2y - 16 = y

or y = 16

Total Number of boys & girls are 32

QUESTION: 105

The area of the quadrant of a circle whose circumference is 22 cm is

Solution:

QUESTION: 106

A lady has only 25-paise and 50-paise coins in her purse. She has a total of 120 coins and total amount is Rs 50. The number of coins of each type in her purse is respectively

Solution:

QUESTION: 107

Given that x+2 and x-3 are factors of x^{3} + ax + b, the values of a and b are

Solution:

Let p(x) = x^{3} + ax + b

x + 2 is a factor of p(x)

So, p(-2) = 0

(-2)^{3} + a(-2) + b = 0

⇒ - 8 - 2a + b = 0

⇒ b - 2a - 8 = 0 .....(1)

x - 3 is a factor of p(x)

So, p(3) = 0

(3)^{3} + a(3) + b = 0

⇒ 27 + 3a + b = 0 .....(2)

Subtract equation (1) from (2) we get 5a + 35 = 0

⇒ 5a = - 35

⇒ a = -7

b = -6

QUESTION: 108

If x = 1 2 (√3 + 1), then the value of 4x^{3} + 2x^{2} - 8x + 7 is-

Solution:

If x = 1 2 (√3 + 1)

⇒ (2x - 1)^{2} = 3

⇒2x^{2} - 2x - 1 = 0

∴ 4x^{3} + 2x^{2} - 8x + 7

= 2x (2x^{2} - 2x - 1) + 3 (2x^{2} - 2x - 1) + 10

= 2x (0) + 3 (0) + 10 = 10

QUESTION: 109

A rectangular park is 200 by 150m. Two cross paths are to be made one parallel to the length and the other parallel to the breadth. The longer path is to be 3 m wide and the shorter is to be 2 m wide. The cost of grassing the remaining part of the park @ Rs. 1000 per ha is

Solution:

Area of the park minus the paths

= (200 - 3) (150 - 2)

= 197 x 147 sq. m

= 29156 sq. m

The cost of grashing the remaming part of the park = Rs 29156 10000 x 1000

= Rs 2915.6

QUESTION: 110

The average weight of 16 tall boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weight of all boys in the class.

Solution:

QUESTION: 111

If the lines x - y - 1 = 0, 4x + 3y = K and 2x - 3y + 1 = 0 are concurrent, then K is

Solution:

QUESTION: 112

A sum of money doubles itself at compound interest in 15 years. In how many years will it become eight times?

Solution:

QUESTION: 113

The average annual income (in Rs.) of certain argicultural workers is S and that of other workers is T. The number of agricultural workers is 11 times that of other workers. Then the average monthly income (in Rs.) of all the workers is:

Solution:

Let the number of other workers be x

Then, number of agricultural workers = 11x

Total number of workers = 12x

∴ Average monthly income = S x 11x + T x x /12x = 11S + T/ 12

QUESTION: 114

Solution:

QUESTION: 115

By selling an umberella for Rs 30,a shopkeeper gains 20%. During a clearance sale,the shopkeeper allows a discount of 10% on the marked price. His gain % during sale is

Solution:

QUESTION: 116

Which of the following is equal to 3.14x10^{6}?

Solution:

QUESTION: 117

The orthocentre of a triangle divides the medians in the ratio :

Solution:

QUESTION: 118

D is the mid-point of side BC of ∆ABC and O is a point on AD. Then, the correct statement out of the following is

Solution:

AD is a median of ∆ABC.

Hence, ar. ∆ABD = ar. ∆ACD.

Also, OD is a median of ∆BOC. Hence,ar. ∆OBD = ar. ∆OCD.

Subtracting the second result from the first we obtain the result.

QUESTION: 119

In the given figure AB || CD and EF || GH. If x = 80, then y = ....

Solution:

QUESTION: 120

AB∥CD and P is a point between the lines, the measure of the angles ∠ABP+∠BPD+∠CDP is

Solution:

QUESTION: 121

The smallest three-digit prime number is

Solution:

QUESTION: 122

A balloon,whose radius is r,subtends an angle α at the eye of an observer when the angle of elevation of its centre is β.The height of its centre is

Solution:

QUESTION: 123

4598 is 95% of

Solution:

QUESTION: 124

The ratio of males and females in a city is 7:8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 What is the total population?

Solution:

QUESTION: 125

The HCF of three numbers is 24. If they are in the ratio 35:55:77,then the numbers are

Solution:

QUESTION: 126

A watch is sold for Rs 880 at a loss of 20%. For how much should it be sold to gain 10%?

Solution:

QUESTION: 127

If 5% more is gained by selling an article for Rs 350 than by selling it for Rs 340, the cost of the article (in rupees) is

Solution:

Let Cost price of an article = Rs x

⇒ x = Rs 200 = C.P. Of an article

QUESTION: 128

The value of 0.234 is

Solution:

QUESTION: 129

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :

Solution:

QUESTION: 130

A man ordered 4 pairs of black socks and some pair of brown socks. The price of a black pair is double that of a brown pair. While preparing the bill,the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was

Solution:

Let x pairs of brown socks were ordered

Let P be the price of a brown pair

Therefore price of black pair of sock = 2P

Then 4P + 2Px = 1.5 (xP + 8P)

⇒ 4P + 2Px = 3 2 (xP + 8P)

⇒ 8P + 4Px = 3xP + 24P

⇒ Px = 16P or x = 16

The ratio of the number of black and brown pairs of socks in the original order was 1:4

QUESTION: 131

If the sides of a triangle are 3,5,7, it has

Solution:

QUESTION: 132

A sum invested at 5% simple interest per annum grows to Rs. 504 in 4 years. The same amount at 10% simple interest per annum in 2.5 years will grow to :

Solution:

QUESTION: 133

If 2∗5 is a perfect square, which of the following digits can replace the ∗ ?

Solution:

QUESTION: 134

A milk tanker cylindrical is shape having diameter 2 m and length 4.2 m supplies milk to two booths A and B in the ratio 3:2. Milk booth A is a rectangular vessel having base area as 3.96m^{2} and milk booth B is a cylindrical vessel having diameter 2m. The level of milk in vessels in booths A and B respectively are

Solution:

QUESTION: 135

sin50º-sin70º+sin10º=

Solution:

QUESTION: 136

If cosθ=(3/5) and cosφ=(4/5), where θ and φ are positive acute angles then cos((θ-φ)/2)=

Solution:

QUESTION: 137

The value of cosA-sinA when A=(5π/4), is

Solution:

QUESTION: 138

A thief steals a car at 2.30 p.m. and drives it at 60 kmph. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 kmph. When will he overtake the thief?

Solution:

QUESTION: 139

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

Solution:

QUESTION: 140

The number of coins of radius 0.75 cm and thickness 0.2 cm to be melted to make a right circular cylinder of height 8 cm and base radius 3 cm is :

Solution:

QUESTION: 141

Find the minimum number of cubes required to construct a cuboid of dimension 20cm x 16cm x 12cm ?

Solution:

Volume of cuboid = 20 x 16 x 12 = 3840 cm^{3}

Since minimum no. of cubes required

So length of cube = HCF of 20, 16, 12 cm = 4

Volume of each cube = (4)^{3} = 64cm^{3}

minimum no of cubes = Vol. of cuboid Vol. of cube = 3840 64 = 60

QUESTION: 142

**Study the following graph carefully and answer the questions given below.**

Population of State 'F' in 1995 approximately what percent of its population in 1996 ?

Solution:

Required percentage = × 100% = 66.66% ≈ 67% [Let population in 1995 be 100 then population in 1996 is 150]

QUESTION: 143

**Study the following graph carefully and answer the questions given below.**

If the popualtion of State 'B' in the year 1994 was 5 lakh, what was approximately its population in the year 1996 ?

Solution:

QUESTION: 144

**Study the following graph carefully and answer the questions given below.**

If the population of states C and D in 1995 are in the ratio 2 : 3 respectively and the population of states 'C' in 1994 was 2.5 lakh, what was the population of State 'D' in 1995 ?

Solution:

QUESTION: 145

**Study the following graph carefully and answer the questions given below.**

In 1994 population of states B and D are equal and the population of States B in 1996 is 20.925 lakhs. What approximate was the population of State 'D' in 1996 ?

Solution:

Let population of B in 1994 be x then x × 1.55 × 1.35 = 20.925 lakh ⇒ x = 10 lakh An in 1994 population D = population of B, Hence population of D in 1994 is 10 lakh ∴ Population of D in 1996 is = 10 × 1.6 × 1.7 lakh = 27.2 lakh ≈ 27 lakh

QUESTION: 146

**Study the following graphs carefully to answer the questions given below it.**

What is the amount (in Rs.) spent by Company 'A' on Electricity ?

Solution:

QUESTION: 147

**Study the following graphs carefully to answer the questions given below it.**

How much (in Rs.) have both companies together spent on raw material ?

Solution:

QUESTION: 148

**Study the following graphs carefully to answer the questions given below it.**

What is the ratio of amount spent by Company A on Advertisement and Electricity respectively ?

Solution:

QUESTION: 149

**Study the following graphs carefully to answer the questions given below it.**

On which item is there least expenditure ?(irrespective of Company A or B)

Solution:

Company 'A' expenditure on miscellaneous = 35750000 × 9/100= Rs 3217500 company 'B' = 40550000 × 4/100 = Rs 1622000 So least expenditure is in miscellaneous of company 'B'

QUESTION: 150

**Study the following graphs carefully to answer the questions given below it.**

What is the total amount (in Rs.) spent by Company 'B' on Raw Material, Maintainance and salary together ?

Solution:

Company 'B' spend on Raw material = 40550000 × 32/100= 12976000

maint ainance = 40550000 × 8/100= 3244000

salary = 40550000 ×29/100 = 11759500 Total = Rs 27979500

QUESTION: 151

Two pipes can fill a cistern in 3 hrs and 4 hrs respectively and a waste pipe can empty it in 2 hrs. If all the three pipes are kept open, then the cistern will be filled in

Solution:

QUESTION: 152

Find the antonym of AUTHENTIC.

Solution:

QUESTION: 153

Find the Antonym of HOSTILE.

Solution:

QUESTION: 154

Find the antonym of DISPARAGE

Solution:

QUESTION: 155

Find the Antonym of FLAGITIOUS

Solution:

QUESTION: 156

Choose the correctly spelt word.

Solution:

QUESTION: 157

Choose the correctly spelt word.

Solution:

QUESTION: 158

Find the Antonym of MASK

Solution:

QUESTION: 159

Choose the correctly spelt word.

Solution:

QUESTION: 160

Choose the correctly spelt word.

Solution:

QUESTION: 161

Choose the correctly spelt word.

Solution:

QUESTION: 162

Fill in the blank with appropriate word.

I congratulate you ........ your success.

Solution:

QUESTION: 163

Fill in the blank with appropriate word.

He was in trouble because he did not.......the instructions.

Solution:

QUESTION: 164

Fill in the blank with appropriate word.

The passengers and crew members of the aeroplane had a.......escape when it was taking off from the runway.