Sequences and Series Test 38

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Sequences and Series Test 38

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Weekly Quiz Competition

Question 1
1 / -0

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

A
$30950$

B
$46430$

C
$34650$

D
$42850$

E
$38540$

Solution
Question 2
1 / -0

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

A
$2809$

B
$2601$

C
$3249$

D
$3481$

E
$2209$

Solution
Question 3
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 4
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 5
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 6
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 7
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 8
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 9
1 / -0

Find the missing number

A
$11$

B
$13$

C
$15$

D
$17$

Solution

$\textbf{Step 1: Observe the numbers opposite to each other}$
$\text{We can see that the number opposite to 196 is 14. Also, } \dfrac{196}{14}=14$
$\text{Hence, we can say the missing number has at least one factor of 14}$
$\text{We see the missing number is opposite to 154}$
$\text{Also, } 14\times11=154$
$\text{Hence, let's assume the missing number is 11}$
$\textbf{Step 2: Verification}$
$\text{Let the missing number be x.}$
$\text{According to the question, }$
$\Rightarrow 14+196+x=221$
$\Rightarrow x=221-14-196$
$x=11$
$\text{Hence, it is verified that x=11}$
$\textbf{Thus, the missing number is (A) 11.}$
Question 10
1 / -0

Find : $13,23,43,83,163 , ?$

A
$326$

B
$323$

C
$321$

D
$318$

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Re-Attempt Weekly Quiz Competition

Sequences and Series Test 38

Result

Sequences and Series Test 38

Score

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Rank

-

SHARING IS CARING

Question 1

309503095030950

464304643046430

346503465034650

428504285042850

385403854038540

Solution

Question 2

280928092809

260126012601

324932493249

348134813481

220922092209

Solution

Question 3

320532053205

308230823082

295929592959

346234623462

287628762876

Solution

Question 4

200200200

144144144

120120120

565656

Solution

Question 5

39,4239,4239,42

37,4237,4237,42

38,4738,4738,47

39,5139,5139,51

Solution

Question 6

878787

939393

110110110

117117117

Solution

Question 7

20 sq. units

40 sq. units

15 sq. units

25/2 sq. units

Solution

Question 8

575575575

625625625

425425425

525525525

Solution

Question 9

111111

131313

151515

171717

Solution

Question 10

326326326

323323323

321321321

318318318

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Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.

$30950$

$46430$

$34650$

$42850$

$38540$

$2809$

$2601$

$3249$

$3481$

$2209$

$3205$

$3082$

$2959$

$3462$

$2876$

$200$

$144$

$120$

$56$

$39,42$

$37,42$

$38,47$

$39,51$

$87$

$93$

$110$

$117$

$575$

$625$

$425$

$525$

$11$

$13$

$15$

$17$

$326$

$323$

$321$

$318$