**Directions(1-5):** What will come in place of question mark “?” in the following questions.

- [12*(385-?^2)]/16 =120
1816101415Option E

[12*(385-?^2)]/16 =120

=> 385 – ?^2 = 160

=> ?^2 = 225

=>? = 15 - ? = 40% of 65% of 1800 +5^2
465484493444400Option C

? = 40% of 65% of 1800 +5^2

=> ? = 468 + 25

=> ? = 493 - ? = [(6^3 + 8^2)/8]^2/35
3035253228Option B

? = [(6^3 + 8^2)/8]^2/35

=> ? = [( 216+64)/8]^2/35

=> ? = 35^2 /35

=> ? = 35 - ? = 30% of (18^2 + 6) + 72% of 1200
920858890963900Option D

? = 30% of (18^2 + 6) + 72% of 1200

=> ? = 0.3 * 300 + 0.72 *1200

=> ? = 99+864

=> ? = 963 - ? = (11^3 – 31^2)/37 + 13
1218202310Option D

? = (11^3 – 31^2)/37 + 13

=> ? = (1331 – 961)/37 + 13

=> ? = 23 - A boy running at uniform speed of 12 km/hr crosses a bridge in 45 seconds. Find the length of the bridge.
100185120150130Option D

X = 12*5/18*45

=> x = 150 metres - Vijay can complete a work in 24 days while Arjun can complete the same work in 15 days. If both worked together , then find the time taken to complete 86(2/3)% of the work.
6 days8 days4 days5days7 daysOption B

LCM (24 and 15) = 120 units

Required time taken = 86(2/3)% of 120/13 = 8 days - The average of weights of x,y and z is 50 kg and the average of weights of y and z is 45 kg. If the weight of w is 30 kg, then what is the average weight of x and w ?
45 kg33 kg50 kg25 kg40 kgOption A

(x+y+z)/3 = 50 (y+z)/2 = 45

=> y+z = 90 (x+90)/3 = 50

=> x =60 kg

Required average = (60+30)/2 = 45 kg - Pipe A can fill a bucket 4 times faster than another pipe B and takes 15 minutes less than pipe B to fill the bucket. If both the pipes are opened simultaneously, then find the time taken to fill the bucket.
48675Option A

Let time taken by pipe A to fill the bucket alone be x minutes. 4x-x = 15 => 3x = 15 => x = 5 Time taken by B = 20 minutes

Time taken by A = 5 minutes

Required time taken by both pipes simultaneously to fill the bucket

= 1/{1/5+1/20} = 4 minutes - The selling price of 25 articles is same as the cost price of x articles. Find the value of x if the profit earned is 40%.
2820153522Option D

Let SP of 1 article be Rs.1

SP of 25 articles = Rs. 25

CP of x articles = Rs. 25

Profit earned = 40% 40/100 = (x-25)/25

=> x = 35