**Directions(1-5):** Find the **wrong number** of the following series.

- 450,449,460,430,494,369,585
494450369460585Option D

-(1)^3

+(2)^3

-(3)^3

+(4)^3

-(5)^3

+(6)^3

457 should be in place of 460. - 20,27,41,64,98,150,207
41202764150Option E

+(3*2)+1

+(4*3)+2

+(5*4)+3

+(6*5)+4

+(7*6)+5

+(8*7)+6

145 should be in place of 150. - 102,50,48,69,140,330
4814050102330Option B

*0.5-1

*1-2

*1.5-3

*2-4

*2.5-5

134 should be in place of 140. - 50,113,239,454,800,1309
80050239113454Option A

+(4^3 -1)

+(5^3+1)

+(6^3 -1)

+(7^3+1)

+(8^3 -1)

798 should be in place of 800. - 28,53,278,903,2128,4256
532784256212828Option C

+5^2

+15^2

+25^2

+35^2

+45^2

4153 should be in place of 4256. - The average weight of a group of (x-3) students is (x-4) kg. If a teacher of weight 54 kg joins the class, then average weight of the group increased by 1 kg. Find the strength of the group excluding the teacher.
1025142335Option D

{(x-3)(x-4)+54}/{(x-3)+1} = (x-4)+1

=> x = 26

Strength of the group = 26 – 3 = 23 - 9 women and 6 children can complete a given work in 8 days. If additional 4 women joined them., then they could finish (2/3) of the work in 4 days. Find the time taken by 24 women to complete the work.
6 days7 days4 days8 days5 daysOption C

(9W + 6C)*8 = (9W + 6C + 4W)*[1/(2/3)]*4

=> (18W + 12C) = (13W + 6C)*(3/2)

=> 36W + 24C = 39W + 18C

=> 3W = 6C => 1W = 2C

Now, 9W + 6C = 18C + 6C = 24 C

Then,24W = 48 C

=> 8*24/48 = 4 days - A article is sold at a profit of 21%. If the cost price is increased by 10% and the selling price remains the same, then find the profit percentage.
50%40%30%10%20%Option D

Let CP be x.

SP = 1.21x

Increased cost = 1.1x

Profit = 1.21x – 1.1x = 0.11x

Profit% = 0.11x/1.1x*100 = 10% - Find the number of words that can be formed using the letters of the word “IRIDIUM” so that vowels always come together.
9096758880Option B

Required Probability = 4!*4!/3! = 96 - A bag contains 54 balls of three different colors Red, Green and Yellow. The probability of drawing a green ball is (1/3) and the number of yellow balls is twice the number of red balls in the bag. Find the probability of drawing a yellow ball from the bag.
2/75/97/104/93/11Option D

Number of green balls = 54 *1/3 =18

Remaining = 54 – 18 = 36

Let red and yellow ball be x and 2x resp.

Therefore, 2x+x = 36

=> 3x = 36

=> x = 12

Number of yellow balls = 12*2 = 24

Required probability = 24/54 = 4/9