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# SSC CPO Mock Test (Paper 1) - 6

## 200 Questions MCQ Test SSC CPO & Constable - Mock Tests & Previous Year Papers | SSC CPO Mock Test (Paper 1) - 6

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This mock test of SSC CPO Mock Test (Paper 1) - 6 for SSC helps you for every SSC entrance exam. This contains 200 Multiple Choice Questions for SSC SSC CPO Mock Test (Paper 1) - 6 (mcq) to study with solutions a complete question bank. The solved questions answers in this SSC CPO Mock Test (Paper 1) - 6 quiz give you a good mix of easy questions and tough questions. SSC students definitely take this SSC CPO Mock Test (Paper 1) - 6 exercise for a better result in the exam. You can find other SSC CPO Mock Test (Paper 1) - 6 extra questions, long questions & short questions for SSC on EduRev as well by searching above.
QUESTION: 1

Solution:
QUESTION: 2

### If the letters in each of the following five words are first rearranged in the alphabetical order and then the groups of letters so formed are rearranged as in a dictionary, which word would have its group of letters in the MIDDLE among the five?

Solution: When the letters in each of the words are arranged in alphabetical order it becomes as follows:
Now when the words are rearranged as in a dictionary then their respective position becomes as follows : ackl, ador, cdeo and eemt.
QUESTION: 3

### Re-arrange the given words in alphabetical order and tick the one that comes in the middle.

Solution:
QUESTION: 4
Choose the numeral pair which is different from others .
Solution:
QUESTION: 5
Complete the analogous pair.
Shoes : Leather : : Brick :?
Solution:
QUESTION: 6
Choose the number which is different from others.
Solution:
QUESTION: 7
Choose the word which is least like the other words in the group .
Solution:
QUESTION: 8
Complete the analogous pair.
Skirmish : War : : Disease : ?
Solution:
QUESTION: 9
Complete the analogous pair.
Push : Pull : : Throw : ?
Solution:
QUESTION: 10
Count the number of triangles in the figure given below
Solution: After labelling the figure in the question, it looks like as under:

There are sixteen triangles in this figure namely:
AMN, AMB, ABN, ACD, ACO, AOD, OSR, OSE, OER, OFG, OFH, OHG, PMC, NQD, COS and ODR
QUESTION: 11
Complete the analogous pair.
Bizarre : Unusual :: Whimsical : ?
Solution:
QUESTION: 12
Ravi walks 100 m from his house towards North. From there he goes 100 m towards West. Here is the house of Sunder. From there they both goes to the market which is in the South-West direction from Sunder's house. If the market is in the West of Ravi's house, then how far is the market from Ravi's house?
Solution:
QUESTION: 13
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 of the conditions is not necessary to find the position of A?
Solution:
QUESTION: 14
If the following series is written in the reverse order and the alternate letter are deleted from it then which letter will divide the new series in two equal parts?
ABCDEFGHIJKLMNOPQRSTUVWXYZ.
Solution:
QUESTION: 15
Group the following figures into three classes on the basis of identical properties.
Solution: 3,6,9 are geometrical figures containing line segments (the number of these line segments is half the number of sides in the figure) parallel to the sides of the figure.
1,5,8 consist of a circle and a triangle intersecting it. The triangle is also divided into two equal parts by a straight line.
2,4,7 are all funnel shaped figures.
QUESTION: 16
Find the missing character.
Solution: The lower number is obtained by adding the squares of the upper two numbers. Thus,
In fig. (A), 22+42=20.
In fig. (B), 32+92=90.
$âˆ´$In fig. (C), missing number = 12+52=26.
QUESTION: 17
Choose the odd one out.
Solution:
QUESTION: 18
Find the missing character.
Solution: Clearly, (1st cell of 1st column)2+(2nd cell of 1st column)2+(3rd cell of 1st column)2=4th cell of 1st column.
Thus, in the first column, ${4}^{2}+{2}^{2}+{1}^{2}=21.$
In the second column, ${5}^{2}+{3}^{2}+{8}^{2}=98.$
$âˆ´$In the third column, missing number = ${6}^{2}+{7}^{2}+{3}^{2}=36+49+9=94.$
QUESTION: 19
Find the missing character.
Solution: Suppose X denotes the numbers in the first row and Y denotes the numbers in the second row.
Then, the pattern is X2 - X = Y.
32 - 3 = 9 - 3 = 6; 82 - 8 = 64 - 8 = 56; 102 - 10 = 100 - 10 = 90;
22 - 2 = 4 - 2 = 2; 12 - 1 = 1 - 1 = 0.
Similarly, 52 - 5 = 20.
So, the missing number is 5.
QUESTION: 20
Choose the odd one out.
Solution:
QUESTION: 21
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
QUESTION: 22
If 'DO' is written as 'FQ' and 'IN' is written as 'KP', then how would 'AT' be written?
Solution:
QUESTION: 23
In a certain code language 'how old are you' is written as '9734' and 'he is old' is written as '2 75'. How is 'he' written in that code language?
Solution: 9734 â†’ how old are you
275 â†’ he is old
he â†’ 2 or 5
QUESTION: 24
Which of the following combination of circles best represents Athlets, Sprinters and Marathon runners?
Solution:
QUESTION: 25

If 'x' means '+', '+' means '÷', '÷' means '-' and '-' means 'X', what will be the value of the following expression?
5 - 7 x 9 + 3 x 2

Solution:

5 - 7 x 9 + 3 x 2
⇒ 5 x 7 + 9 x 3 - 2 = 35 + 3 - 2
⇒ 38 - 2 = 36

QUESTION: 26

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: 27

If Δ denotes =, + denotes > , - denotes >, □ denotes ≠, x denotes > and x denotes < then a + b -c denotes :-

Solution:
QUESTION: 28

If + means -, - means x, x means ÷ and ÷ means +, then 15 x 3 x 10 + 5 - 3 = ?

Solution:

15 x 3 + 10 - 5 x 3
= 5 + 10 - 15 = 0 (Use BODMAS Rule)

QUESTION: 29
Complete the analogous pair.
11529 : 72135 :: 152943 : ?
Solution:
QUESTION: 30
Choose the odd one out.
Solution:
QUESTION: 31
Choose the odd one out.
Solution:
QUESTION: 32
Choose the odd one out.
Solution:
QUESTION: 33
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: 34
In this letter series, some of the letters are missing. Choose the correct letter given below -
b _ ac _ cc _ cb _ ab _ ac
Solution:
QUESTION: 35
In each question, three sequences of letters/numerals are given which correspond to each other. Find out the letters/numerals that come in vacant places marked by (?).
$\begin{array}{ccccccccccc}\text{_}& A& C& \text{_}& B& D& \text{_}& C& D& C& D\\ 2& \text{_}& 4& 1& \text{_}& 1& 4& \text{_}& \text{_}& \text{_}& \text{_}\\ c& d& \text{_}& b& c& \text{_}& a& ?& ?& ?& ?\end{array}$
Solution: Clearly, 4 corresponds to C and a corresponds to 4. So, a corresponds to C.
1 corresponds to D and b corresponds to 1. So, b corresponds to D.
thus, CDCD corresponds to a, b, a, b.
QUESTION: 36
Choose the correct alternative that will continue the same pattern and fill in the blank.
20, 19, 17, (.....), 10, 5
Solution:
QUESTION: 37
Choose the missing term out of the given alternatives.
KM5, IP8, GS11, EV14, ?
Solution:
QUESTION: 38
Choose the missing term out of the given alternatives.
cx fu ir ? ol ri
Solution:
QUESTION: 39
Choose the correct alternative that will continue the same pattern and fill in the blank.
17, 19, 23, 29, (....), 37
Solution:
QUESTION: 40
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 :
Statement:
Beware of dogs. Our dogs do not bark but they are trained to distinguish between genuine guests and intruders.
Assumption:
I. Barking dogs rarely bite.
II. Our dogs could be dangerous for intruders.
Solution:
QUESTION: 41
Below is given statement followed by three conclusions numbered I, II and III. You have to consider the statement and the following conclusions and decide which of the conclusions is follows in the statement :
Statements :a. No rabbit is lion.
b. Some horses are lions.
c. All rabbits are tables.
Conclusions:I. Some tables are lions.
II. Some horses are rabbits.
III. No lion is table.
Solution:
QUESTION: 42
If Pen is coded as Pencil, Pencil as Chalk, Chalk as Slate, Slate as Paper, then by which do you mostly write?
Solution:
QUESTION: 43
If the day before yesterday was Thursday, when will Sunday be ?
Solution: If day before yesterday was Thursday, so today is Saturday.
.'. Tomorrow will be Sunday.
QUESTION: 44
Which of the following words does not belong to the above set?
â€˜Gym, hymn, lynx, pygmy, rhythmâ€™
Solution:
QUESTION: 45
If it is possible to make a meaningful word out of the second, the fourth, the fifth and the eighth letters of the word 'ILLOGICAL' then which of the following will be the third letter of the so formed word? If more than one word can be formed then give X as the answer. If no meaningful word can be formed, then give Z as the answer.
Solution:
QUESTION: 46

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: 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 : T R J Q A F E H L D B V
Digits :  3 9  # 8  4  \$ 2  5 7 @ 6 %

LTARHF

Solution:
QUESTION: 48

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

Solution:
QUESTION: 49

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: 50

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

Solution:
QUESTION: 51

How many times National Emergency has been declared in India?

Solution:
QUESTION: 52

Which one of the following is the correct chronological order of the tenures of the following Presidents of Indian National Congress?
I. Jagjivan Ram
II. K. Kamraj
III. P. D. Tandon
IV. U. N. Dhebar
Select the correct answer using the codes given below:

Solution:
QUESTION: 53

As per census 2011 report on Urban and Rural population, a town is counted as urban areas if it has
A) a minimum population of 5,000
B) a density of population of 400 per sq km
C) 70 per cent of the male main workers engaged in non-agricultural pursuits

Solution:
QUESTION: 54

It is mandatory for the Governor to reserve a Bill for the consideration by the President if such a Bill affects

Solution:
QUESTION: 55

When was the first air-conditioned train introduced in India?

Solution:
QUESTION: 56

Bit refers to a:

Solution:
QUESTION: 57

Which of the following represents 1 m byte ?

Solution:
QUESTION: 58

The process of budget making after re-evaluating every item of expenditure in every financial year is known as—

Solution:
QUESTION: 59

Who amongst the following was the chairperson of the "working group on Benchmark prime lending Rate (BPLR)" constituted by the RBI?

Solution:
QUESTION: 60

‘Axis Bank’ is the new proposed name for—

Solution:
QUESTION: 61

Patnayak Economy Committee constituted by NDC gave the main recommendation—

Solution:
QUESTION: 62

The term mixed economy denotes-

Solution:
QUESTION: 63

Which is not declared as a 'Navratan'?

Solution:
QUESTION: 64

An industrial unit is considered sick when

Solution:
QUESTION: 65

Budget is the;

Solution:
QUESTION: 66

The northern tip of the earth is inclined towards the sun on :

Solution:
QUESTION: 67

Green revolution in india has so far been most successful in case of.

Solution:
QUESTION: 68

The gentle slope of less than 1º is represented by the gradient of -

Solution:
QUESTION: 69

Sariska Reserve Forest is located in:

Solution:
QUESTION: 70

Which country is geographically in North America but politically a part of Europe?

Solution:
QUESTION: 71

In ancient India marriage was considered

Solution:
QUESTION: 72

Who among the following was not included in the first interim National Government announced in August ,1946?

Solution:
QUESTION: 73

Which of the following departments regulated the marked control system introduced by Alauddin khilji?

Solution:
QUESTION: 74

Which of the following denote a tax on land produce? (1) Kharaj (2) Khumus (3) Ushr (4) Muqtai

Solution:
QUESTION: 75

Sheikh Nizamuddin Aulia was born at -

Solution:
QUESTION: 76

Which one of the following organs of the human body breaks down the old red blood cells and stores iron from them?

Solution:
QUESTION: 77

Who built the rock-cut temples at Mahabalipuram ?

Solution:
QUESTION: 78

Insect-resistant cotton plants have been genetically engineered by inserting a gene from a/an

Solution:
QUESTION: 79

Which one of the following is a mixed fertilizer ?

Solution:
QUESTION: 80

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

Solution:
QUESTION: 81

A corked bottle full of water then forzen will break because

Solution:
QUESTION: 82

It is possible to produce seedless tomato fruits by

Solution:
QUESTION: 83

The heart of human embryo starts beating

Solution:
QUESTION: 84

Of the following the best way to put out a petrol fire is to use :

Solution:
QUESTION: 85

When a CD (compact disc used in audio and video systems) is seen in sunligjht, rainbow like colours are seen. This can be explained on the basis of the phenomenon of

Solution:
QUESTION: 86

The most ductile element is :

Solution:
QUESTION: 87

The 2017 Samudra Manthan – Caring Organisation of the Year Award has been won by which of the given container ports?

Solution:
QUESTION: 88

Which of the following features distinguish musical sounds from noise ? (1) Regularity in sound (2) A musical sound has a single frequency (3) Absence of sudden changes of amplitude in respect of musical sounds

Solution:
QUESTION: 89

Ticks and mites are actually

Solution:
QUESTION: 90

Which of the following can explain the growth of two different fruits in two different branches ?

Solution:
QUESTION: 91

The radio does not receive/catch the audio waves in a running train properly since :

Solution:
QUESTION: 92

What causes decomposition of animal remains ?

Solution:
QUESTION: 93

The credit of "Green Revolution" in India goes to a prominent agricultural technologist whose name is :

Solution:
QUESTION: 94

The number of naturally occurring amino acids found in proteins is

Solution:
QUESTION: 95

What metals are used for manufacturing stainless steel ?

Solution:
QUESTION: 96

Kamlesh Mehta has distinguished himself in which of the following games/sports?

Solution:
QUESTION: 97

The Delhi Soccer Association (Football Delhi) has announced to celebrate which legendary football players birthday as Football Day in Delhi as a mark of honor?

Solution:
QUESTION: 98

United Nations adopted a Charter of Economic Rights in the year

Solution:
QUESTION: 99

Which one of the following is a rich source of vitamin A ?

Solution:
QUESTION: 100

How many countries are the members of the European Union (EU)?

Solution:
QUESTION: 101

The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2, what is the total of P's and Q's present ages?

Solution:

Present ages of P and Q
= 5x years and 7x years
Then 7x - (5x + 6) = 2
2x = 8
∴ x = 4
∴ Required sum = 5x + 7x = 12x
= 12 x 4 = 48 years

QUESTION: 102

A man bought a certain number of similar articles for Rs 380.If he had paid rupee one more for each article,he would have got one article less for the same price. What was the original priceof each article?

Solution:
QUESTION: 103

A certain number of tennis balls were purchased for Rs 450.Five more balls could have been purchased for the same amounts if each ball was cheaper by Rs 15.Find the number of balls purchased.

Solution:

Let the number of balls purchased be x
Then, 450 x - 450 x + 5 = 15
⇒ 1 x - 1 x + 5 = 15 450
⇒ x + 5 - x x(x + 5) = 1 30
⇒ x2 + 5x - 150 = 0
⇒ (x + 15) (x - 10) = 0
x = 10

QUESTION: 104

If x+y=6 and 3x-y=4, then x-y is equal to

Solution:
QUESTION: 105

A park is in form of a rectangle 120 m x 100m. At the centre of the park is a circular lawn. The area of the park excluding the lawn is 10614 m2. The cost of grass carpeting the lawn @ Rs. 27/m2 is

Solution:

Area of the park = 100 x 120
= 12000 m2
Area of the park excluding the lawn = 10614 m2
∴ The Area of the lawn = 12000 - 10614 = 1386 m2
The Cost of fencing the lawn = Rs. (27 x 1386) = Rs. 37422.00

QUESTION: 106

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: 107

If one root of a quadratic equation is 2 +√ 5 , then the quardratic equation is

Solution:

x2 - (α + β)x + αβ = 0
⇒ x2 - (2 + 5 + 2 - 5 ) x + (2 + 5 ) (2 - 5 ) = 0
⇒ x2 - 4x + (2)2 - ( 5 )2 = 0
⇒ x2 - 4x - 1 = 0

QUESTION: 108

The average weight of a group of 150 students in a class is 60 kg. If the mean of the weight of all the 50 male students in the class is 70 kg,then the average weight of the 100 girls in the class is

Solution:

Sum of ages of all students 150

= 60
⇒ SumS = 9000
Also,
Sum of ages of all boys 50 = 70
⇒ SumB = 3500
Sum of ages of all girls is then = 9000 - 3500 = 5500
⇒ Average = 5500 100 = 55 kg

QUESTION: 109

An equilateral triangle has a side of 18 cm. Find the perimeter of triangle (in cm):

Solution:
QUESTION: 110

The orthocnetre of the triangle formed by the line bx + ay = ab and the co-ordinate axes is :

Solution:
QUESTION: 111

?

Solution:
QUESTION: 112

A sum of money lent out at simple interests amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is :

Solution:

Principal + SI for 2 years = Rs 720 ……(I)
Principal + SI for 7 years = Rs 1020 ……(II)
Subtracting equation (I) from (II),
S.I. for 5 years = (1020 – 720) = Rs 300
∴ S.I. for 2 years = 300 � 2 5 = Rs 120
∴ Principal = (720 – 120) = Rs 600

QUESTION: 113

The average weight of 8 men is increased by 1.5 kg when one of the men who weighs 65 kg is replaced by a new man. The weight of the new man is

Solution:

Total weight increased = (8 x 1.5) kg = 12 kg.
Weight of new person = (65 + 12) kg = 77 kg.

QUESTION: 114

When 0.232323.... is converted into a fraction, then the result is :

Solution:
QUESTION: 115

If PQ is a tangent to the cirlc at A, ∠BAQ = 50º, and ∠BAC=35º then the measure of ∠ABC is

Solution:
QUESTION: 116

There are four lines in a plane. No two of which are parallel. The number of points which they intersect are

Solution:
QUESTION: 117

AB∥CD and AC∥BD. CD is produced to E. If ∠CAD=37º and ∠BDE=68º, then ∠ABD is :

Solution:
QUESTION: 118

A vendor provides 10% discount on the purchase of an item. If paid in cash immediately, a further discount of 12% is given. If the original price of the item is Rs. 250, what is the selling price of the article if a cash purchase is made

Solution:
QUESTION: 119

Sides BA and DC of the quadrilateral ABCD are produced as shown in the figure. The measure of angle x is

Solution:

∠ D A B = 180 º − 45 º = 135 º

∠ D C B = 360 º − 65 º + 70 º + 135 º = 90 º
∠ x = 180 º − 90 º = 90 º

QUESTION: 120

Two pipes A and B can fill a cistern in 12 minutes and 15 minutes respectively but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 5 minutes in the begining and then C is also opened. In what time will the cistern be emptied?

Solution:

QUESTION: 121

The sum of two numbers is 36 and their HCF is 4, How many pairs of such numbers are possible?

Solution:
QUESTION: 122

A person who spends 66(2/3)% of his income is able to save Rs.1200 per month. His monthly expenses (in Rs.) are:

Solution:
QUESTION: 123

From a container having pure milk, 20% is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is:

Solution:

Let the total quantity of original milk = 1000 gm.
Milk after first operation = 80% of 1000 = 800 gm.
Milk after second operation = 80% of 800 = 640 gm.
Milk after third operation = 80% of 640 = 512 gm.
∴ Strength of final mixture = 51.2%

QUESTION: 124

A number x,when divided by 7, leaves a remainder 1 and another number by y, when divided by 7, leaves the remainder 2. If x+y is devided by 7, then the remainder will be

Solution:
QUESTION: 125

A portion of a 30 m long tree is broken by tornando and the top struck up the ground making an angle of 30º with the ground level. The height of the point where the tree is broken is equal to

Solution:
QUESTION: 126

The harmonic Mean of a/1 - ab and a/1 + ab is

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:

QUESTION: 128

If b = 3, c = 4, and B = π/3, then the number of triangles that can be constructed is

Solution:
QUESTION: 129

A Shopkeeper gives 12% additional discount on the discounted price, after giving an initial discount of 20% on the labelled price of a radio. If the final sale price of the radio is Rs.704, then what is its labelled price?

Solution:
QUESTION: 130

Two liquids A and B are in the ratio 5 : 1 in container I and 1 : 3 in container II. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1?

Solution:
QUESTION: 131

Neeta bought a book at 30% discount on the listed price. Had she not got the discount, she would have paid Rs. 82.50 extra. At what price did she buy the book?

Solution:

List price of book = 82.50 30 x 100 = Rs 275
Neeta bought the book in
275 x 0.70 = Rs 192.50

QUESTION: 132

If  , then the value of x is

Solution:
QUESTION: 133

X,Y,Z can do a piece of work together in 10 days. If X alone can do it in 40 days, Y alone can do it in 30 days, then Z alone will do the same work in

Solution:
QUESTION: 134

The value of cos 1ºcos2ºcos3º...cos179º is equal to

Solution:
QUESTION: 135

If I walk at 3 kmph, I miss a train by 2 minutes. If, however, I walk at 4 kmph, then I reach the station 2 minutes before the arrival of the train. How far do I walk to reach the station?

Solution:

Let the distance be x km
Then correct time at a speed of 3 km/h

QUESTION: 136

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned ?

Solution:
QUESTION: 137

The greatest value of 3 cos θ + 4 sin θ is :

Solution:

The greatest value of 3 cos θ + 4 sin θ is

QUESTION: 138

The distance between 6.00 AM and 3.15 P.M. by the tip of the 12 cm long hour hande in a clock is

Solution:

QUESTION: 139

A rectangular water tank of base 11 m x 6 m contains water up to a height of 5m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, then the water level in this tank will be nearly

Solution:
QUESTION: 140

The height of a wall is six times its width and the length of the wall is seven times its height. If volume of the wall be 16128 cu. m, its width is :

Solution:

Let us take width as x m
volume = 16128 cu m
⇒ (x) (6x) (42x) = 16128

x3 = 16128/ 42 x 6
x3 = 64
x = 4 m

QUESTION: 141

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is :

Solution:

Diameter of the spherical ball, d = 6 cm
radius of the spherical ball, r = d 2 = 6 2 = 3 cm
Now, diameter of base of cone, D = 12 cm
Now, radius of base of cone, R = D 2 = 12 2 = 6 cm
Let the height of the cone = H
Now, spherical ball is melted and recast into the cone,
So, volume of cone = volume of spherical ball
⇒ 1 3 πR2H = 4 3 πr3
⇒ 1 /3 x 6 x 6 x H = 4 /3 x 3 x 3 x 3
⇒ 12H = 36
⇒ H = 3
So, height of the cone = 3 cm

QUESTION: 142

The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000. Study the graph and answer the questions based on it.

The difference between the percentages of candidates qualified to appeared was maximum in which of the following pairs of years ?

Solution:
QUESTION: 143

The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000. Study the graph and answer the questions based on it.

In which pair of years was the number of candidates qualified, the same ?

Solution:
QUESTION: 144

The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000. Study the graph and answer the questions based on it.

If the number of candidates qualified in 1998 was 21200, what was the number of candidates appeared in 1998 ?

Solution:
QUESTION: 145

The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000. Study the graph and answer the questions based on it.

If the total number of candidates appeared in 1996 and 1997 together was 47400, then the total number of candidates qualified in these two years together was