Straight Lines Test 9

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Straight Lines Test 9

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Weekly Quiz Competition

Question 1
1 / -0

Answer the following set of questions by reading the above pitctograph. Number of TV sets sold in the year 2005 is

A
$1000$

B
$500$

C
$50$

D
$2000$

Solution

In the given pictogram the year 2005 depicts only one television figure.
When each television figure represents 500 TV sets, number of TV sets sold in the year 2005 is 500.
So, option B is the correct answer.
Question 2
1 / -0

A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the group is:

A
85

B
80

C
75

D
70

Solution

Out of 16 men, there is a captain.
Number of captains in 1200 men = $\displaystyle \\ 1200\div 16=75$ .
Question 3
1 / -0

A car driver knows four different routes from Delhi to Amritsar. From Amritsar to Pathankot, he knows three different routes and from Pathankot to Jammu he knows two different routes. How many routes does he know from Delhi to Jammu?

A
4

B
8

C
12

D
24

E
36

Solution

The car driver can reach Amritsar in 4 ways.From each of these four ways, he can reach Pathankot in 3 different ways and so he can reach from Delhi to Pathankot in $\displaystyle \left( 4\times 3 \right)$ i.e 12 ways. Again from Pathankot to Jammu, there are 2 ways. Hence he can reach Jammu from Delhi in $\displaystyle \left( 12\times 2 \right)$ i.e. in 24 ways.
Question 4
1 / -0

In a chess tournament each of six players will play every other player exactly once. How many matches will be played during the tournament?

A
36

B
30

C
15

D
12

Solution

First player can play 5 matches with other five players. Second player can play 4 matches with other four players and proceeding this way, the fifth player will play only one match with sixth player.
$\displaystyle \therefore$ Total number of matches played = 5 +4 + 3 + 2 + 1 = 15.
Short cut : Number of matches played by n players = $\displaystyle \frac { n\left( n+1 \right) }{ 2 }$
Question 5
1 / -0

If CAT is $48$ , Z is $52$ Then what is TEA equal to ?

A
$48$

B
$52$

C
$60$

D
$50$

Solution

Alphanumeric coding type
Word Code value Final code
(alphabet series)
CAT C=3,A=1,T=20 24X2=48
3+1+20=24
Z 26 24X2=52
TEA T=20,E=5,A=1 26X2=52
20+5+1=26
Question 6
1 / -0

I think of a decimal number. After I have subtracted 2.9 from it, then multiplied by 3 and then added 0.15, I get 10.5. What is the decimal number?

A
4.5

B
15.66

C
20.10

D
6.35

Solution

Let the decimal number be x.
$3(x-2.9)+0.15=10.5$
$3x-8.7+0.15=10.5$
$3x-8.7=10.35$
$3x=19.05$
$x=6.35$ .
Question 7
1 / -0

I thought of a decimal number. After I had multiplied it by 2, then added 1.5 and then divided by 3, I got 3.5. What was the decimal number?

A
7.1

B
5.6

C
5.8

D
4.5

Solution

Let the decimal number be $x.$
$\dfrac{x\times 2+1.5}{3}=3.5$
$2x+1.5=3.5\times 3$
$2x+1.5=10.5$
$2x=9$
$x=\dfrac{9}{2}$
$x=4.5$
Hence, correct option is D.
Question 8
1 / -0

Observe the following pattern for obtaining the sums then find the sum of numbers from 781 to 790?
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155
21 + 22 + 23 + 24 + 25 + 26 + 27 + 28 + 29 + 30 = 255
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
51 + 52 + 53 + 54 + 55 + 56 + 57 + 58 + 59 + 60 = 555
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110 = 1055
251 + 252 + 253 + 254 + 255 + 256 + 257
258 + 259 + 260 = 2555

A
7055

B
7855

C
7955

D
8155

Solution

781 + 782 + 783 + 784 + 785
786 + 787 + 788 + 789
+ 790 = 7855
Question 9
1 / -0

Given three vertices of a triangle whose coordinates are A (1, 1), B (3, -3) and (5, -3). Find the area of the triangle.

A
3 square units

B
4 square units

C
5 square units

D
6 square units

Solution

We know that the area of the triangle whose vertices are $\displaystyle (x_{1},y_{1}),(x_{2},y_{2}),$ and $(x_{3},y_{3})$ is $\cfrac{1}{2}\left | x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1}) +x_{3}(y_{1}-y_{2})\right |$
The three vertices of the triangle are $A(1,1), B(3,-3), C(5,-3)$
Area of triangle $=\dfrac{|1(-3-(-3)+3(-3-1)+5(1-(-3))|}{2}$
$=\dfrac{|1(0)+3(-4)+4(4)|}{2}$
$=\dfrac{|-12+20|}{2}$
$=\dfrac{8}{2}$
$=4$ square units.
Question 10
1 / -0

A, B, C and D are four 4-digit numbers each having the digit 9 only once and in the place shown None of the other digits are known
What can be said about A, B, C and D?

A
D is the smallest of the four numbers

B
B is larger than C

C
A is the largest of the 4 numbers

D
D is the largest of the 4 numbers

Solution

A is the largest of the 4
numbers because its place
value is 9000

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Re-Attempt Weekly Quiz Competition

Straight Lines Test 9

Result

Straight Lines Test 9

Score

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Rank

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SHARING IS CARING

Question 1

100010001000

500500500

505050

200020002000

Solution

Question 2

85

80

75

70

Solution

Question 3

4

8

12

24

36

Solution

Question 4

36

30

15

12

Solution

Question 5

484848

525252

606060

505050

Solution

Question 6

4.5

15.66

20.10

6.35

Solution

Question 7

7.1

5.6

5.8

4.5

Solution

Question 8

7055

7855

7955

8155

Solution

Question 9

3 square units

4 square units

5 square units

6 square units

Solution

Question 10

D is the smallest of the four numbers

B is larger than C

A is the largest of the 4 numbers

D is the largest of the 4 numbers

Solution

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$1000$

$500$

$50$

$2000$

$48$

$52$

$60$

$50$