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Q: Two pipes A and B can fill a tank in 16 hrs and 12 hrs respectively. The capacity of the tank is 240 liters. Both the pipes are opened simultaneously and closed after 2 hrs. How much more water need to fill the tank? 2398 0

Answer : 2. "170 lit"
Explanation :
Answer: B) 170 lit Explanation: Given A alone can fill the tank of capacity 240 lit in 16 hrs. => A can fill in 1 hr = 240/16 = 15 lit => B alone can fill the tank of capacity 240 lit in 12 hrs. => B can fill in 1 hr = 240/12 = 20 lit Now, (A + B) in 1 hr = 15 + 20 = 35 lit But they are opened for 2 hrs => 2 x 35 = 70 lit rae filled Remaining water to be filled in tank of 240 lit = 240 - 70 = 170 lit.

Q: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ? 2397 0

Answer : 1. "14 days"
Explanation :
Answer: A) 14 days Explanation: Let A worked for x days. x/21 + 4/28 = 1 => x = 18 A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.

Q: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2395 0

Answer : 2. "5 m/h"
Explanation :
Answer: B) 5 m/h Explanation: As the distance travelled is constant, the time taken is inversely proportional to speed. Let 'u' be the speed of the current and 'v' be the speed of the boat. Speed of the boat downstream = v + u & upstream = v - u => v+u/v-u = 30/20 => v/u = 5 => v = 5u => v + u = 6u = 10/20/60 miles/hr => 6u = 30 m/h => u = 5 m/h

Q: एक व्यापारी को एक रेडियो पर बिक्री हेतु क्या दाम अंकित करना चाहिए जिसे उसने 1200 रूपये में खरीदा था और जबकि वह उसके अंकित मूल्य पर 20 प्रतिशत छुट देना चाहता है तथा चाहता है कि तब भी उसे 25 प्रतिशत का लाभ उसकी बिक्री से मिले- 2394 0

Answer : 4. "40%"

Q: The capacity of a tank is 2400 m3. A pump can be used both for filling and emptying the tank. The emptying capacity of the pump is 10 m3/minute higher than its filling capacity. And also, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump. 2393 0

Answer : 4. "50 cub.m/min"
Explanation :
Answer: D) 50 cub.m/min Explanation: Let filling capacity of the pump be 'F' m3/min Then, the filling capacity of the pump will be (F + 10) m3/min From the given data, 2400F - 2400F+10= 8⇒ 2400 F+10-FF(F+10) =8⇒ F2 + 10F - 3000 = 0⇒ F = 50 m3/min

Q: Which expression is equivalent to i233? 2391 0

Answer : 1. "i"
Explanation :
Answer: A) i Explanation: We know that, i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233 =i4 x 58 + 1 = i232 x i1 = 1 x i = i

Q: Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ? 2387 0

Answer : 3. "5%"
Explanation :
Answer: C) 5% Explanation: C.I = P1+r100t-1 594.5 = 58001+r1002-1 594.55800+1=1+r1002 r100=1.05-1=0.05=> r = 5 % .

Q: Length of train is 170 meters and speed of train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge. 2385 0

Answer : 1. "355 mts"
Explanation :
Answer: A) 355 mts Explanation: Given speed = 63 km/hr = 63×518=352 m/s Let the length of the bridge = x mts Given time taken to cover the distance of (170 + x)mts is 30 sec. We know speed = distancetimem/s ⇒352=170+x30 --> x = 355 mts.

Q: Two pipes A and B can fill a tank in 16 hrs and 12 hrs respectively. The capacity of the tank is 240 liters. Both the pipes are opened simultaneously and closed after 2 hrs. How much more water need to fill the tank? 2398 0

Q: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ? 2397 0

Answer : 1. "14 days"
Explanation :
Answer: A) 14 days Explanation: Let A worked for x days. x/21 + 4/28 = 1 => x = 18 A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.

Q: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2395 0

Answer : 4. "40%"

Answer : 4. "50 cub.m/min"
Explanation :
Answer: D) 50 cub.m/min Explanation: Let filling capacity of the pump be 'F' m3/min Then, the filling capacity of the pump will be (F + 10) m3/min From the given data, 2400F - 2400F+10= 8⇒ 2400 F+10-FF(F+10) =8⇒ F2 + 10F - 3000 = 0⇒ F = 50 m3/min

Q: Which expression is equivalent to i233? 2391 0

Answer : 1. "i"
Explanation :
Answer: A) i Explanation: We know that, i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233 =i4 x 58 + 1 = i232 x i1 = 1 x i = i

Q: Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ? 2387 0

Answer : 3. "5%"
Explanation :
Answer: C) 5% Explanation: C.I = P1+r100t-1 594.5 = 58001+r1002-1 594.55800+1=1+r1002 r100=1.05-1=0.05=> r = 5 % .

Q: Length of train is 170 meters and speed of train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge. 2385 0

Answer : 1. "355 mts"
Explanation :
Answer: A) 355 mts Explanation: Given speed = 63 km/hr = 63×518=352 m/s Let the length of the bridge = x mts Given time taken to cover the distance of (170 + x)mts is 30 sec. We know speed = distancetimem/s ⇒352=170+x30 --> x = 355 mts.

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Q: Two pipes A and B can fill a tank in 16 hrs and 12 hrs respectively. The capacity of the tank is 240 liters. Both the pipes are opened simultaneously and closed after 2 hrs. How much more water need to fill the tank? 2398 05b5cc6bbe4d2b4197774d802

Q: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ? 2397 05b5cc6e5e4d2b4197774ed3d

Answer : 1. "14 days" Explanation :Answer: A) 14 days Explanation: Let A worked for x days. x/21 + 4/28 = 1 => x = 18 A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.

Q: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2395 05b5cc6bfe4d2b4197774da29

Answer : 4. "40%"

Answer : 4. "50 cub.m/min" Explanation :Answer: D) 50 cub.m/min Explanation: Let filling capacity of the pump be 'F' m3/min Then, the filling capacity of the pump will be (F + 10) m3/min From the given data, 2400F - 2400F+10= 8⇒ 2400 F+10-FF(F+10) =8⇒ F2 + 10F - 3000 = 0⇒ F = 50 m3/min

Q: Which expression is equivalent to i233? 2391 05b5cc645e4d2b4197774bbd1

Answer : 1. "i" Explanation :Answer: A) i Explanation: We know that, i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233 =i4 x 58 + 1 = i232 x i1 = 1 x i = i

Q: Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ? 2387 05b5cc73ae4d2b4197774f89c

Answer : 3. "5%" Explanation :Answer: C) 5% Explanation: C.I = P1+r100t-1 594.5 = 58001+r1002-1 594.55800+1=1+r1002 r100=1.05-1=0.05=> r = 5 % .

Q: Length of train is 170 meters and speed of train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge. 2385 05b5cc76fe4d2b4197774ff49

Answer : 1. "355 mts" Explanation :Answer: A) 355 mts Explanation: Given speed = 63 km/hr = 63×518=352 m/s Let the length of the bridge = x mts Given time taken to cover the distance of (170 + x)mts is 30 sec. We know speed = distancetimem/s ⇒352=170+x30 --> x = 355 mts.

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Q: Two pipes A and B can fill a tank in 16 hrs and 12 hrs respectively. The capacity of the tank is 240 liters. Both the pipes are opened simultaneously and closed after 2 hrs. How much more water need to fill the tank? 2398 0

Q: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ? 2397 0

Answer : 1. "14 days"
Explanation :
Answer: A) 14 days Explanation: Let A worked for x days. x/21 + 4/28 = 1 => x = 18 A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.

Q: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2395 0

Answer : 4. "50 cub.m/min"
Explanation :
Answer: D) 50 cub.m/min Explanation: Let filling capacity of the pump be 'F' m3/min Then, the filling capacity of the pump will be (F + 10) m3/min From the given data, 2400F - 2400F+10= 8⇒ 2400 F+10-FF(F+10) =8⇒ F2 + 10F - 3000 = 0⇒ F = 50 m3/min

Q: Which expression is equivalent to i233? 2391 0

Answer : 1. "i"
Explanation :
Answer: A) i Explanation: We know that, i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233 =i4 x 58 + 1 = i232 x i1 = 1 x i = i

Q: Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ? 2387 0

Answer : 3. "5%"
Explanation :
Answer: C) 5% Explanation: C.I = P1+r100t-1 594.5 = 58001+r1002-1 594.55800+1=1+r1002 r100=1.05-1=0.05=> r = 5 % .

Q: Length of train is 170 meters and speed of train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge. 2385 0

Answer : 1. "355 mts"
Explanation :
Answer: A) 355 mts Explanation: Given speed = 63 km/hr = 63×518=352 m/s Let the length of the bridge = x mts Given time taken to cover the distance of (170 + x)mts is 30 sec. We know speed = distancetimem/s ⇒352=170+x30 --> x = 355 mts.