Permutations and Combinations Test 42

Result

Permutations and Combinations Test 42

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Find the missing number from the given alternatives.

A
$$39,116$$

B
$$52,156$$

C
$$30,117$$

D
$$31,116$$

Solution

$$ 13\quad\quad 39\\26\quad\quad 78\\?\quad\quad ?$$
The pattern satisfies
$$x\quad\quad 3x$$
Therefore correct option is
$$52\quad\quad 156$$
Question 2
1 / -0

In the given figure (not drawn to scale), the coordinates of P, Q and R are (3, 0) (0, 5) and (0, -5) respectively. Find the area of $$\Delta PQR$$.

A
20 sq. units

B
40 sq. units

C
15 sq. units

D
25/2 sq. units

Solution
Question 3
1 / -0

$$8, 31, 122, 485, 1936, 7739, ?$$

A
$$30950$$

B
$$46430$$

C
$$34650$$

D
$$42850$$

E
$$38540$$

Solution
Question 4
1 / -0

$$499, 622, 868, 1237, 1729, 2344, ?$$

A
$$3205$$

B
$$3082$$

C
$$2959$$

D
$$3462$$

E
$$2876$$

Solution

$$499, 622, 868, 1237, 1729, 2344,$$ ______
$$499+1\times 123=499+123=622$$
$$622+2\times 123=622+146=868$$
$$868+3\times 123=868+369=1237$$
$$1237+4\times 123=1237+492=1729$$
$$1729+5\times 123=1729+615=2344$$
$$2344+6\times 123=2344+738=3082$$.
Question 5
1 / -0

Six people are going to sit in a row on a bench. $$A$$ and $$B$$ are adjacent, $$C$$ does not want to sit adjacent to $$D.E$$ and $$F$$ can sit anywhere. Number of ways in which these six people can be seated is

A
$$200$$

B
$$144$$

C
$$120$$

D
$$56$$

Solution

A, B, C, D, E, F
Consider AB as group so we have AB, C, D, E, F.
We have totally $$5$$
No. of ways$$(w_1)=5!\times 2$$
$$=240$$
Let CD are adjacent now AB, CD, E, F
No. of ways$$(w_2)=4!2!2!$$
$$=96$$
Total no. of ways
$$W=w_1-w_2$$
$$=240-96$$
$$=144$$.
Question 6
1 / -0

Find : $$12,15,21,24,30,33 , ? , ?$$

A
$$39,42$$

B
$$37,42$$

C
$$38,47$$

D
$$39,51$$

Solution

$$12,15,21,24,30,33,?,?$$
$$12$$
$$12 + 3 = 15$$
$$15+3\times 2=21$$
$$21+3=24$$
$$24+3\times 2=30$$
$$30+3=33$$
$$33+3\times 2=39$$
$$39+3=42$$
Question 7
1 / -0

Find the missing number :

A
$$125$$

B
$$90$$

C
$$105$$

D
$$225$$

Solution

$$\textbf{Step 1: Observe the numbers opposite to each other}$$
$$ \text{We can see that the number opposite to 315 is 21. Also, } \dfrac{315}{21}=15$$
$$\text{Hence, we can say the missing number has at least one factor of 15 }$$
$$\text{We see the missing number is opposite to 15}$$
$$\text{Also, } 15\times15=225$$
$$\textbf{Step 2: Verification}$$
$$\text{Let the missing number be x.}$$
$$\text{ATQ, }$$
$$\Rightarrow 21+15+x=261$$
$$\Rightarrow x=261-21-15$$
$$x=225$$
$$\text{Hence, it is verified that x=225}$$
$$\textbf{Thus, the missing number is D 225.}$$
Question 8
1 / -0

$$23,29,47,75 , ?$$

A
$$87$$

B
$$93$$

C
$$110$$

D
$$117$$

Solution

$$2\underbrace { 3\quad ,\quad 2 } \underbrace { 9\quad ,\quad 4 } \underbrace { 7\quad ,\quad 7 } \underbrace { 5\quad ,\quad ? } \quad =75+35$$
$$6$$ $$18$$ $$28$$ $$35$$
$$\left( 2\times 3 \right) \uparrow $$ $$\left( 2\times 9 \right) \uparrow $$ $$\left( 4\times 7 \right) \uparrow $$ $$\left( 7\times 5 \right) \uparrow $$ $$=110$$
Question 9
1 / -0

$$16,40,100,250 , ?$$

A
$$575$$

B
$$625$$

C
$$425$$

D
$$525$$

Solution

$$16,40,100,250,?$$
$${ \underline { 4 } }^{ 2 },\underline { 4 } \times \underline { \left( 10 \right) } ,{ \left( 10 \right) }^{ 2 },\underline { 10 } \times \left( 25 \right) ,{ \left( 25 \right) }^{ 2 }$$
$$16,40,100,250,625$$.
Question 10
1 / -0

Find the missing number

A
$$11$$

B
$$13$$

C
$$15$$

D
$$17$$

Solution

$$\textbf{Step 1: Observe the numbers opposite to each other}$$
$$ \text{We can see that the number opposite to 196 is 14. Also, } \dfrac{196}{14}=14$$
$$\text{Hence, we can say the missing number has at least one factor of 14}$$
$$\text{We see the missing number is opposite to 154}$$
$$\text{Also, } 14\times11=154$$
$$\text{Hence, let's assume the missing number is 11}$$
$$\textbf{Step 2: Verification}$$
$$\text{Let the missing number be x.}$$
$$\text{According to the question, }$$
$$\Rightarrow 14+196+x=221$$
$$\Rightarrow x=221-14-196$$
$$x=11$$
$$\text{Hence, it is verified that x=11}$$
$$\textbf{Thus, the missing number is (A) 11.}$$