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प्र: Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes). 3588 0

उत्तर : 2. "30 min"
व्याख्या :
Answer: B) 30 min Explanation: Distance travelled by Ramu = 45 x 4 = 180 km Somu travelled the same distance in 6 hours. His speed = 180/6 = 30 km/hr Hence in the conditional case, Ramu's speed = 45 - 9 = 36 km/hr and Somu's speed = 30 + 10 = 40km/hr. Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively. Hence difference in the time taken = 0.5 hours = 30 minutes.

प्र: The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes ? 4870 0

उत्तर : 4. "150, 200"
व्याख्या :
Answer: D) 150, 200 Explanation: The incomes of A and B be 3P and 4P. Expenditures = Income - Savings (3P - 100) and (4P - 100) The ratio of their expenditure = 1:2 (3P - 100):(4P - 100) = 1:2 2P = 100 => P = 50 Their incomes = 150, 200

प्र: 217 x 217 + 183 x 183 = ? 1269 0

उत्तर : 3. "80578"
व्याख्या :
Answer: C) 80578 Explanation: 2172+1832 = 200+172+200-172 It is in the form of a+b2+a-b2=2a2+b2 = 2(40000 + 289) = 80578.

प्र: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions ? 4000 0

उत्तर : 1. "10 sec"
व्याख्या :
Answer: A) 10 sec Explanation: Relative Speed = 60 -40 = 20 x 5/18 = 100/18 Time = 50 Distance = 50 x 100/18 = 2500/9 Relative Speed = 60 + 40 = 100 x 5/18 Time = 2500/9 x 18/500 = 10 sec.

प्र: How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ? 2013 0

उत्तर : 2. "9"
व्याख्या :
Answer: B) 9 Explanation: LCM of 2, 3, 7 is 42. => (700 – 300)/42 = 9 22/42 => 9 Numbers.

प्र: 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ? 5979 0

उत्तर : 4. "7"
व्याख्या :
Answer: D) 7 Explanation: Let 1 woman's 1 day work = x. Then, 1 man's 1 day work = x/2 and 1 child's 1 day work x/4. So, (3x/2 + 4x + + 6x/4) = 1/7 28x/4 = 1/7 => x = 1/49 1 woman alone can complete the work in 49 days. So, to complete the work in 7 days, number of women required = 49/7 = 7.

प्र: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill ? 37148 1

उत्तर : 3. "8.57 min"
व्याख्या :
Answer: C) 8.57 min Explanation: 1/10 + 1/15 = 1/6 x 3 = 1/2 1 - 1/2 = 1/2 1/10 + 1/15 - 1/x = 1/2 x = 8.57 min

प्र: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ? 5261 0

उत्तर : 1. "27 sec"
व्याख्या :
Answer: A) 27 sec Explanation: Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

प्र: The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes ? 4870 0

उत्तर : 4. "150, 200"
व्याख्या :
Answer: D) 150, 200 Explanation: The incomes of A and B be 3P and 4P. Expenditures = Income - Savings (3P - 100) and (4P - 100) The ratio of their expenditure = 1:2 (3P - 100):(4P - 100) = 1:2 2P = 100 => P = 50 Their incomes = 150, 200

प्र: 217 x 217 + 183 x 183 = ? 1269 0

उत्तर : 3. "80578"
व्याख्या :
Answer: C) 80578 Explanation: 2172+1832 = 200+172+200-172 It is in the form of a+b2+a-b2=2a2+b2 = 2(40000 + 289) = 80578.

प्र: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions ? 4000 0

उत्तर : 1. "10 sec"
व्याख्या :
Answer: A) 10 sec Explanation: Relative Speed = 60 -40 = 20 x 5/18 = 100/18 Time = 50 Distance = 50 x 100/18 = 2500/9 Relative Speed = 60 + 40 = 100 x 5/18 Time = 2500/9 x 18/500 = 10 sec.

प्र: How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ? 2013 0

उत्तर : 2. "9"
व्याख्या :
Answer: B) 9 Explanation: LCM of 2, 3, 7 is 42. => (700 – 300)/42 = 9 22/42 => 9 Numbers.

प्र: 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ? 5979 0

उत्तर : 3. "8.57 min"
व्याख्या :
Answer: C) 8.57 min Explanation: 1/10 + 1/15 = 1/6 x 3 = 1/2 1 - 1/2 = 1/2 1/10 + 1/15 - 1/x = 1/2 x = 8.57 min

प्र: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ? 5261 0

उत्तर : 1. "27 sec"
व्याख्या :
Answer: A) 27 sec Explanation: Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

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प्र: The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes ? 4870 05b5cc6e5e4d2b4197774ed0b

उत्तर : 4. "150, 200" व्याख्या :Answer: D) 150, 200 Explanation: The incomes of A and B be 3P and 4P. Expenditures = Income - Savings (3P - 100) and (4P - 100) The ratio of their expenditure = 1:2 (3P - 100):(4P - 100) = 1:2 2P = 100 => P = 50 Their incomes = 150, 200

प्र: 217 x 217 + 183 x 183 = ? 1269 05b5cc6e5e4d2b4197774ed10

उत्तर : 3. "80578" व्याख्या :Answer: C) 80578 Explanation: 2172+1832 = 200+172+200-172 It is in the form of a+b2+a-b2=2a2+b2 = 2(40000 + 289) = 80578.

प्र: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions ? 4000 05b5cc6e5e4d2b4197774ed06

उत्तर : 1. "10 sec" व्याख्या :Answer: A) 10 sec Explanation: Relative Speed = 60 -40 = 20 x 5/18 = 100/18 Time = 50 Distance = 50 x 100/18 = 2500/9 Relative Speed = 60 + 40 = 100 x 5/18 Time = 2500/9 x 18/500 = 10 sec.

प्र: How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ? 2013 05b5cc6e5e4d2b4197774ed01

उत्तर : 2. "9" व्याख्या :Answer: B) 9 Explanation: LCM of 2, 3, 7 is 42. => (700 – 300)/42 = 9 22/42 => 9 Numbers.

प्र: 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ? 5979 05b5cc6e5e4d2b4197774ecfc

उत्तर : 3. "8.57 min" व्याख्या :Answer: C) 8.57 min Explanation: 1/10 + 1/15 = 1/6 x 3 = 1/2 1 - 1/2 = 1/2 1/10 + 1/15 - 1/x = 1/2 x = 8.57 min

प्र: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ? 5261 05b5cc6e5e4d2b4197774ecf2

उत्तर : 1. "27 sec" व्याख्या :Answer: A) 27 sec Explanation: Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

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प्र: The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes ? 4870 0

उत्तर : 4. "150, 200"
व्याख्या :
Answer: D) 150, 200 Explanation: The incomes of A and B be 3P and 4P. Expenditures = Income - Savings (3P - 100) and (4P - 100) The ratio of their expenditure = 1:2 (3P - 100):(4P - 100) = 1:2 2P = 100 => P = 50 Their incomes = 150, 200

प्र: 217 x 217 + 183 x 183 = ? 1269 0

उत्तर : 3. "80578"
व्याख्या :
Answer: C) 80578 Explanation: 2172+1832 = 200+172+200-172 It is in the form of a+b2+a-b2=2a2+b2 = 2(40000 + 289) = 80578.

प्र: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions ? 4000 0

उत्तर : 1. "10 sec"
व्याख्या :
Answer: A) 10 sec Explanation: Relative Speed = 60 -40 = 20 x 5/18 = 100/18 Time = 50 Distance = 50 x 100/18 = 2500/9 Relative Speed = 60 + 40 = 100 x 5/18 Time = 2500/9 x 18/500 = 10 sec.

प्र: How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ? 2013 0

उत्तर : 2. "9"
व्याख्या :
Answer: B) 9 Explanation: LCM of 2, 3, 7 is 42. => (700 – 300)/42 = 9 22/42 => 9 Numbers.

प्र: 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ? 5979 0

उत्तर : 3. "8.57 min"
व्याख्या :
Answer: C) 8.57 min Explanation: 1/10 + 1/15 = 1/6 x 3 = 1/2 1 - 1/2 = 1/2 1/10 + 1/15 - 1/x = 1/2 x = 8.57 min

प्र: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ? 5261 0

उत्तर : 1. "27 sec"
व्याख्या :
Answer: A) 27 sec Explanation: Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.