**Directions(1-5):** What approximate value will come in place of question mark ‘?’ in the following question.

- ? = 30% of 420 + 40% of 420 + 50% of 420 +60% of 420
700742756710722Option C

? = 30% of 420 + 40% of 420 + 50% of 420 +60% of 420

=> ? = ( 30 + 40 + 50 + 60) % of 420

=>? = 180% of 420

=>? = 756 - ?^2 = {15 *(23^2 – 19^2)} – 17*7
3349384052Option B

?^2 = {15 *(23^2 – 19^2)} – 17*7

=>?^2 = {15 * 42 * 4 } – 119

=>?^2 = 2520 – 119

=>?^2 = 2401

=>? = 49 - (478 – ?^2 +11)% of 450 = 900
1015191721Option D

(478 – ?^2 +11)% of 450 = 900

=> 478 -?^2 +11 = 900

=>?^2 = 289

=>? = 17 - (14.28% of 12.5% of 33.33% of 840)^3 + (1936)^1/2
136150144160169Option E

(14.28% of 12.5% of 33.33% of 840)^3 + (1936)^1/2

=>? = (1/7 * 1/8 * 1/3 * 840)^3 + 44

=>? = 5^3 + 44

=>? = 169 - {(9^3 / 3^4) * 5}% of 4500 – ? = 1305
700720689650680Option B

{(9^3 / 3^4) * 5}% of 4500 – ? = 1305

=> {(729 / 81)* 5}% of 4500 – ? = 1305

=> 45% of 4500 – 1305 = ?

=> ? = 2025 – 1305

=>? =720 - A boat can travel 20 km downstream in 24 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 15 km upstream?
2010301525Option C

Down speed =20/24*60=50km/hr

4:1 =4x:x

Downstream speed = 4x+x=5x

Upstream speed = 4x-x=3x

5x= 50; x=10

so up speed 3*10=30

Time = 15/30*60= 30min. - P and Q started a business by investing Rs 8,000 and Rs 9,000 respectively. After 4 months P withdrew Rs 400 and Q added Rs 400 more. What is the share of Q from the profit of Rs 10,200?
52005420510055605360Option D

8000*4 + 7600*8 : 9000*4 + 9400*8

116 : 139

Share of B = 139/(116+139) * 10200 = 5560 - A sum of Rs. 8800 is to be divided among three brothers P, Q and R in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of P is more than that of R by?
32503120300032003452Option D

x*5*1/100 = y*5*2/100 = z*5*3/100

x:y:z = 6:3:2

The share of P is more than that of R by = 4/11 * 8800 = 3200 - The simple interest on a certain sum of money at 4% per annum for 5 years is 100 more than the interest on the same sum for 3 years at 5% per annum. Find the sum.
45003500200025002200Option C

p*(4/100)*5 – p*(5/100)*3 = 2000 - A urn contains 4 red balls, 5 green balls and 6 white balls, If one ball is drawn at random, find the probability that it is neither red nor white ?
1/41/51/31/81/6Option C

Required Probability = 5c1/15c1 = 1/3