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Directions(1-5):** Find the missing value ‘?’ of the following series.

- 24,43,81,138,?,309
214320200288211Option A

+19*1

+19*2

+19*3

+19*4

+19*5

? = 214 - 12,10,17,47,?,909
191166183177125Option C

*1-2

*2-3

*3-4

*4-5

*5-6

? = 183 - 32,37,27,42,?,47
1518202225Option D

+5,-10,+15,-20,+25

? = 22 - 24,36,72,180,?,1890
581562555500540Option E

*1.5,*2,*2.5,*3,*3.5

? = 540 - 525,524,516,489,?,300
441425420400425Option E

-1^3,-2^3,-3^3,-4^3,-5^3

? = 425 - Sum of present ages of A and B is 41. Age of A 2 year hence is equal to age of C, 1 year ago. Age of A, 4 year hence is equal to age of B 1year ago and ratio of present age of A and D is 3 : 4. Find the difference of age of C and D.
4 years5 years1 years3 years2 yearsOption D

A + B = 41 …(i)

C -1 = A + 2 C = A + 3

And A + 4 = B – 1

⇒ B = A + 5 …(ii)

From (i) + (ii) A = 18 years

B = 18 + 5 = 23 years

C = 18 + 3 = 21 years

A/D = 3/4

D = 4/3*18 = 24 years

Required Difference = 24 – 21 = 3 years - A and B started business with Rs 600 and Rs 500 respectively. After 4 months, C replaces B with X% of B’s capital. After 1 year C’s share out of the total profit 24000 is 5600. Find the value of X.
80%90%60%50%70%Option E

(A’s profit) : (B’s profit) : (c’s profit)

=600* 12 : 500* 4 : 5x* 8

=180 : 50 : x

C’s profit = x/ (230+ x)× 24000

=>x = 70% - A can complete a work in 36 days. B is 33.33% more efficient than A. In how many days both complete the work if they work on alternate days starting with A?
15432Option A

B will complete the work alone in = 3/4 × 36

= 27 days

A == B

36 ====27

==108

3 ==== 4

Let total units of work = 108

No. of units done by A in 1 day = 3

No. of units done by B in 1 day = 4

Total work done in 2 days = 7 units

Work done in 30 days = 7 × 15 = 105 units

Remaining work will be done by A in = 1 day

= (108- 105)/ 3 = 1 Day - Ravi started a business by investing Rs.4200. After x months, Rohan joined him with a capital of Rs.5400. At the end of the year, the ratio between Ravi’s profit to Rohan’s profit is 7:3. Find the value of x.
74685Option D

[4200*12]/[5400*(12-x)] = 7/3

=>x = 8 - In bag A there are 5 red balls, X green balls and 7 yellow balls. Probability of drawing one green ball from bag A is 2/5. In bag B there are (X-3) red balls, (X-4) green balls and 6 yellow balls. 2 balls are drawn from bag B. Find the probability that both the balls are red colour?
5/113/154/192/217/17Option D

Probability of drawing one green ball = x/(12+x)

= 2/5

⇒ x = 8

Required Probability = 5C2/15C2 = 2/21