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

- 4,2,2,4,20,?
152160145162170Option E

4*1-2 = 2

2*3-4 = 2

2*5-6 = 4

4*7-8 = 20

20*9-10= 170 - 200,50,400,100,800,?
500200600400300Option B

200/4 = 50

50*8 =400

200/4 =100

100*8 =800

800/4 =200 - 85,68,102,51,?,34
109110119112111Option C

85 – 17*1 = 68

68 – 17*2 = 102

102 – 17*3 = 51

51 – 17*4 = 119

119 – 17*5 = 34 - 76,77,85,94,158,?
170183165184177Option B

+1^3

+2^3

+3^3

+4^3

+5^3

? = 183 - 3,6,15,28,66,?
9188958084Option A

(2^2+2)/2 = 3

(3^2+3)/2= 6

(5^2+5)/2 = 15

(7^2+7)/2 = 28

(11^2+11)/2 = 66

(13^2+13)/2 = 91 - The overall time taken by a man to cover 36 km downstream and 18 km upstream in 5 hours, while the man takes the same time to cover 54 km downstream and 12 km upstream. Calculate the speed of the stream.
45368Option D

36/u + 18/v = 5 —- (1)

54/u + 12/v = 5 —- (2)

On solving (1) and (2) we get

Speed of the stream = (18-6)/2 = 6 km/hr. - A shopkeeper sells 3 pens at the cost of 4 pens. If the cost price of each pen is Rs. 6, find the profit% gained by the shopkeeper on each pen.
20%25%15%33.33%30%Option D

CP of 4 pens = 6*4 = Rs. 24

SP of 3 pens = Rs. 24

SP of 1 pen = 24/3 = Rs. 8

Profit% = (8-6)/6*100 = 33.33% - The ratio of milk to water in the mixture of 35 litres is 5:2 resp. If 14 litres of mixture is removed and 9 litres of milk is added to the mixture then find the ratio of milk to water in the mixture?
4:74:111:69:57:3Option B

Quantity of milk in the mixture = 5/7*35 = 25 L

Quantity of water in the mixture = 35 – 25 = 10 L

After 14 L of mixtures is removed.

Quantity of milk in the mixture = 25 – 5/7*14 = 15 L

Quantity of water in the mixture = 10 – 2/7*14 = 6 L

Total quantity of milk in the mixture after addition of 9 L

of mixture = 15+ 9 = 24 L

Ratio of milk and water = 24:6 =4:1 - What is the cost of painting the entire surface area of a solid hemisphere dome of radius 14 m at the rate of Rs. 12 per metre square?
Rs. 22110Rs. 20550Rs. 22176Rs. 21025Rs. 22000Option C

TSA = 2*22/7*14*14 = 1848 m^2

Total cost of painting = 1848 * 12 = Rs. 22176 - The number of ways of selecting 1 ball from a bag containing x number of distinct balls is 5 less than the number of ways of selecting 2 balls from the same bag. Find the value of x.
54768Option A

Let the number of balls in the bag be x.

xC1 + 5 = xC2

=> x = 5