Straight Lines Test 40

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Straight Lines Test 40

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Weekly Quiz Competition

Question 1
1 / -0

$$14, 12, 21, 59, 231, 1149, ?$$

A
$$6987$$

B
$$6787$$

C
$$6887$$

D
$$6687$$

E
$$6587$$

Solution

$$14,12,21,54,231,1149,..............$$
$$14\times 1-2=14-2=12$$
$$12\times 2-3=24-3=21$$
$$21\times 3-4=63-4=59$$
$$59\times 4-5=236-5=231$$
$$231\times 5-6=1155-6=1149$$
$$1149\times 6-7=6894-7=6887$$
ANSWER is C
Question 2
1 / -0

Find the next term of the series $$1728, 2744, 4096, 5832, 8000, 10648, ?$$

A
$$2167$$

B
$$13824$$

C
$$15625$$

D
$$9261$$

E
$$17576$$

Solution

$$1728,2744,4096,5832,8000,10648.....$$
$$12^3\rightarrow 1728$$
$$14^3\rightarrow 2744$$
$$16^3\rightarrow 4096$$
$$18^3\rightarrow 5832$$
$$20^3\rightarrow 8000$$
$$22^3\rightarrow 10648$$
$$24^3\rightarrow 13824$$
ANSWER IS B
Question 3
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 4
1 / -0

Determine the next term $$20, 24, 33, 49, 74, 110, ?$$

A
$$133$$

B
$$147$$

C
$$159$$

D
$$163$$

E
$$171$$

Solution

$$20,24,33,49,74,110,...$$

Let the number be $$x$$

difference $$24-20=4,33-24=9,49-33=16,74-49=25,110-74=36,x-110=49$$

$$\implies24-20=2^2, 33-24= 3^2, 49-33= 4^2, \,\, 74-49= 5^2\,\, 110-74=6^2,\,\,\, x-110= 7^2$$

So, $$110+49=159$$

ANSWER IS C
Question 5
1 / -0

$$529, 841, 961, 1369, 1681, 1849, ?$$

A
$$2809$$

B
$$2601$$

C
$$3249$$

D
$$3481$$

E
$$2209$$

Solution
Question 6
1 / -0

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

A
$$30950$$

B
$$46430$$

C
$$34650$$

D
$$42850$$

E
$$38540$$

Solution
Question 7
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 8
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 9
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 10
1 / -0

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

A
$$87$$

B
$$93$$

C
$$110$$

D
$$117$$

Solution

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

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Re-Attempt Weekly Quiz Competition

Straight Lines Test 40

Result

Straight Lines Test 40

Score

-

Rank

-

SHARING IS CARING

Question 1

$$6987$$

$$6787$$

$$6887$$

$$6687$$

$$6587$$

Solution

Question 2

$$2167$$

$$13824$$

$$15625$$

$$9261$$

$$17576$$

Solution

Question 3

$$39,116$$

$$52,156$$

$$30,117$$

$$31,116$$

Solution

Question 4

$$133$$

$$147$$

$$159$$

$$163$$

$$171$$

Solution

Question 5

$$2809$$

$$2601$$

$$3249$$

$$3481$$

$$2209$$

Solution

Question 6

$$30950$$

$$46430$$

$$34650$$

$$42850$$

$$38540$$

Solution

Question 7

$$200$$

$$144$$

$$120$$

$$56$$

Solution

Question 8

$$3205$$

$$3082$$

$$2959$$

$$3462$$

$$2876$$

Solution

Question 9

$$39,42$$

$$37,42$$

$$38,47$$

$$39,51$$

Solution

Question 10

$$87$$

$$93$$

$$110$$

$$117$$

Solution

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