Straight Lines Test 22

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Straight Lines Test 22

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Weekly Quiz Competition

Question 1
1 / -0

Directions For Questions

In a certain code, ' il be pee ' means 'roses are blue', silk hee means ' red flowers' and ' pee mit hee' means ' flowers are vegctables'

...view full instructions

How is 'red written in that code ?

A
hee

B
silk

C
be

D
cannot be determined

Solution

Type Direct coding (Jumbled fashion)
S.no. code sentence
1. il be pee roses are blue
2. silk hee red flowers
3. pee mit hee Flowers are Vegetables
common word in sentences 1 & 3 $$ \displaystyle \rightarrow $$ 'are' and code $$ \displaystyle \rightarrow $$ 'pee'
common word in sentences 2 & 3 $$ \displaystyle \rightarrow $$ flowers and code $$ \displaystyle \rightarrow $$ 'hee'
Therefore
Codes words
pee are
hee flowers
silk red
niit vegetables
il roses/ blue
be blue./ rose
Question 2
1 / -0

Directions For Questions

In a certain code, ' il be pee ' means 'roses are blue', silk hee means ' red flowers' and ' pee mit hee' means ' flowers are vegctables'

...view full instructions

How is 'roses' written in that code?

A
il

B
pee

C
be

D
cannot be determined

Solution

Type Direct coding (Jumbled fashion)
S.no. code sentence
1. il be pee roses are blue
2. silk hee red flowers
3. pee mit hee Flowers are Vegetables
common word in sentences 1 & 3 $$ \displaystyle \rightarrow $$ 'are' and code $$ \displaystyle \rightarrow $$ 'pee'
common word in sentences 2 & 3 $$ \displaystyle \rightarrow $$ flowers and code $$ \displaystyle \rightarrow $$ 'hee'
Therefore
Codes words
pee are
hee flowers
silk red
niit vegetables
il roses/ blue
be blue./ rose
Question 3
1 / -0

How is 'vegetables are red flowers' written in this code ?

A
Pec silk mit hee

B
silk peehee be

C
il silk mit hee

D
none

Solution

Type Direct coding (Jumbled fashion)
S.no. code sentence
1. il be pee roses are blue
2. silk hee red flowers
3. pee mit hee Flowers are Vegetables
common word in sentences 1 & 3 $$ \displaystyle \rightarrow $$ 'are' and code $$ \displaystyle \rightarrow $$ 'pee'
common word in sentences 2 & 3 $$ \displaystyle \rightarrow $$ flowers and code $$ \displaystyle \rightarrow $$ 'hee'
Therefore
Codes words
pee are
hee flowers
silk red
niit vegetables
il roses/ blue
be blue./ rose
nit silk hee pee
Question 4
1 / -0

There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?

A
15

B
6

C
28

D
56

E
64

Solution

Matches played between 8 teams =$$ 7+6+5+4+3+2+1 = 21$$
In these 8 matches, 4 winners will emerge.
So, total number of matches between these 4 winners = $$ 3+2+1= 6$$
Two winners will emerge from these 4 winners who will play the final match.
so, total matches played in the tournament = $$21 + 6+1 = 28$$ (option C)
Question 5
1 / -0

In a certain sequence of 8 numbers, each number after the first is 1 more than the previous number .If the first number is -5, how many of the numbers in the sequence are positive?

A
None

B
One

C
Two

D
Three

E
Four

Solution
Question 6
1 / -0

The area of triangle with vertices $$A(5,\,0),\,B(8,\,0)$$ and $$C(9,\,5)$$ is

A
$$7\dfrac{1}{4}$$

B
$$7\dfrac{1}{2}$$

C
$$\dfrac{15}{4}$$

D
None of the above

Solution

Area of triangle $$=\dfrac{1}{2}\begin{bmatrix}x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)\end{bmatrix}$$
$$A=\dfrac{1}{2}\begin{bmatrix}5(0-5)+8(5-0)+9(0-0)\end{bmatrix}$$
$$A=\dfrac{1}{2}\begin{bmatrix}-25+40\end{bmatrix}=\dfrac{15}{2}$$ square units.
So, option B is correct.
Question 7
1 / -0

$$\triangle OPQ$$ is formed by the coordinates $$P(0,\,5),\, Q(8,\,0)$$ and origin $$O$$. The area of $$\triangle OPQ$$ is ____ square units.

A
$$20$$ sq. units

B
$$10$$ sq. units

C
$$30$$ sq. units

D
None of the above

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 $$\cfrac{1}{2}\left | x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1}) +x_{3}(y_{1}-y_{2})\right |$$
Area of $$\triangle OPQ $$
$$=\dfrac 12 \left[ 1(0) - 1(0) +1(-40)\right]$$
$$=\dfrac 12 \times 40 = 20$$ sq. units
Question 8
1 / -0

Which pair of numbers comes next?
$$25, 23, 5, 20, 16, 5,....$$

A
$$11, 5$$

B
$$5, 6$$

C
$$10, 5$$

D
$$9, 5$$

Solution

This is an alternating subtraction series with the interpolation of a random number, $$5$$, as every third number.
In the subtraction series, $$2$$ is subtracted, then $$3$$ then $$4$$, and so on.
The next pair of numbers are $$11$$ and $$5$$.
Question 9
1 / -0

The area of triangle with vertices $$A(0,\,9),\,B(0,\,4)$$ and $$C(-5,\,-9)$$ is

A
$$\dfrac{25}{2}$$ sq. units

B
$$\dfrac{23}{2}$$ sq. units

C
$$\dfrac{19}{2}$$ sq. units

D
None of the above

Solution

Area of triangle $$=\dfrac{1}{2}\begin{bmatrix}x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)\end{bmatrix}$$
$$=\dfrac{1}{2}\begin{bmatrix}0(4+9)+0(-9-9)+(-5)(9-4)\end{bmatrix}$$
$$=\dfrac{1}{2}\begin{bmatrix}-5\times5\end{bmatrix}$$
$$=-\dfrac{25}{2}$$
The area cannot be negative.
$$\therefore$$ It must be $$\dfrac{25}{2}$$ sq. units
So, option A is correct.
Question 10
1 / -0

Complete the pattern: $$3, 5, 8, 13,$$ ___

A
21

B
22

C
23

D
24

Solution

The next number is $$21$$.
We get the next number by adding the previous two numbers.

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Re-Attempt Weekly Quiz Competition

Straight Lines Test 22

Result

Straight Lines Test 22

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SHARING IS CARING

Question 1

hee

silk

be

cannot be determined

Solution

Question 2

il

pee

be

cannot be determined

Solution

Question 3

Pec silk mit hee

silk peehee be

il silk mit hee

none

Solution

Question 4

15

6

28

56

64

Solution

Question 5

None

One

Two

Three

Four

Solution

Question 6

$$7\dfrac{1}{4}$$

$$7\dfrac{1}{2}$$

$$\dfrac{15}{4}$$

None of the above

Solution

Question 7

$$20$$ sq. units

$$10$$ sq. units

$$30$$ sq. units

None of the above

Solution

Question 8

$$11, 5$$

$$5, 6$$

$$10, 5$$

$$9, 5$$

Solution

Question 9

$$\dfrac{25}{2}$$ sq. units

$$\dfrac{23}{2}$$ sq. units

$$\dfrac{19}{2}$$ sq. units

None of the above

Solution

Question 10

21

22

23

24

Solution

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