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

- 19,32,49,68,?,120
8870859179Option D

+13,+17,+19,+23,+29

? = 91 - 224,221,?,231,270,359
212177220180200Option C

+1^3-2^2

+2^3-3^2

+3^3-4^2

+4^3-5^2

+5^3-6^2

? = 220 - 621,540,491,466,457,?
420400384456390Option D

-9^2,-7^2,-5^2,-3^2,-1^2

? = 456 - 14,15,25,?,1125,11125
125110150120133Option A

+10^0, +10^1, +10^2, +10^3, +10^4

? =125 - 18,24,36,56,?,128
8086727891Option B

+3^2 -3

+4^2 -4

+5^2 -5

+6^2 -6

+7^2 -7

? = 86 - Present age of A is 40% less than the present age of B. Age of A four years ago was half the present age of B. Find the present age of A and B.
3940324728Option C

Let the present age of B be x.

Present age of A = 0.6x

Now,

0.6x – 4 = x/2

=>x = 40

Present average age = (40+24)/2 = 32 years - Raj spent ¼ and 1/5 of his monthly salary on entertainment and transport resp. Out of the remaining amount, he spent 40% on food and rent together. He invests the remaining amount in a XYZ for one year and earned a profit of 20%. Find his monthly income if he received Rs.9504 from XYZ after one year.
1400018000240002100020000Option C

Let the monthly salary of Raj be Rs.x.

Amount invested in XYZ = x – 0.25x – 0.20x -0.22x = 9504/1.2

=> x= 24000 - A circular well is dug in the ground up to 15 m depth. The soil which is taken out of the well is spread uniformly on a square floor having perimeter 48 m. Find the height up to which the soil is spread over the square floor if the diameter of the well is 16 m.
24 m32 m20 m18 m27mOption C

Volume of the soil taken out = 3*8*8*15 = 2880 m^3

Side of the square floor = 48/4 = 12 m

Desired height =2880/(12*12) = 20 m - Ram bought a car for Rs.6x. He spent Rs.(x+500) for its repair and sold it to Shyam for Rs.(10x -252). Find the value of x, if in this transaction Ram had profit of 32%.
10001200180016001300Option B

CP of car for Ram = (7x +500)

SP of car =1.32*(7x+500) = 10x – 252

9.24x + 660 = 10x – 252

=>x = 1200 - There are 10 red , 5 white and 5 black balls in an urn. Three balls are drawn at random from the urn. What is the probability that all three balls are white?
1/1131/1145/1113/1141/110Option B

Required Probability = 5C3/20C3 = 10/1140 = 1/114