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प्र: Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ? 3386 0

उत्तर : 4. "5 minutes"
व्याख्या :
Answer: D) 5 minutes Explanation: Let the total capacity of tank be 90 liters.Capacity of tank filled in 1 minute by K = 3 liters.Capacity of tank filled in 1 minute by L = 15 liters.Therefore, capacity of the tank filled by both K and L in 1 minute = 18 liters.Hence, time taken by both the pipes to overflow the tank = 90/18 = 5 minutes.

प्र: Two goods trains each 520 m long, are running in opposite directions on parallel tracks. Their speeds are 42 km/hr and 36 km/hr respectively. Find the time taken by the slower train to cross the driver of the faster one ? 3380 0

उत्तर : 2. "48 sec"
व्याख्या :
Answer: B) 48 sec Explanation: Relative speed = 42 + 36 = 78 km/hr = 653 m/s Distance = (520 + 520) =1040 mts. Time = 1040×365= 48 sec

प्र: Find the next number in the series 143 143 136 110 ? 3374 0

उत्तर : 3. "47"
व्याख्या :
Answer: C) 47 Explanation: The next number in the series is 143 143 136 110 0 7 26 (Differences) 13 - 1 , 23 - 1, 33 - 1, 43 - 1,...Now the next number is given by110 - (43 - 1) = 110 - 63 = 47.

प्र: The ratio of Karthik’s and Kalyan’s ages is 4: 5. If the difference between the present age of Kalyan and the age of Karthik 5 years hence is 3 years, then what is the total of present ages of Karthik and Kalyan? 3374 0

उत्तर : 4. "72 years"
व्याख्या :
Answer: D) 72 years Explanation: Let us consider Karthik as K1 and Kalyan as K2. Given k18+k1 and K2 - (K1 + 5) = 3 K2 - K1 = 8 K2 = 8 + K1 Now, k18+k1= 45 => K1 = 32 years Therefore K2 = 40 years. K1 + K2 = 72 years.

प्र: If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day ? 3367 0

उत्तर : 3. "102 men"
व्याख्या :
Answer: C) 102 men Explanation: From the above formula i.e (m1 x t1/w1) = (m2 x t2/w2) so, [(34 x 8 x 9)/(2/5)] = [(M x 6 x 9)/(3/5)] so, M = 136 men Number of men to be added to finish the work = 136-34 = 102 men.

प्र: Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ? 3350 0

उत्तर : 1. "Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840"
व्याख्या :
Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 Explanation: Initial investment of Ram = Rs.2500.After 2 months he withdraw Rs.1250 from his capital.Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months. Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months. And, Rakesh invested Rs.3500 for 3 months; Their investing ratio:Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42 Total profit for 6 months = Rs.2540Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800Raj's share = Rs.(2540 x 45/127) = Rs.900Rakesh's share = Rs.(2540 x 42/127) = Rs.840

प्र: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 3342 0

उत्तर : 1. "63 and 49"
व्याख्या :
Answer: A) 63 and 49 Explanation: Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y Difference = 14 => 7x - 7y = 14=> x - y = 2 product of numbers = product of their hcf and lcm=> 7x * 7y = 441 * 7=> x * y = 63 Now, we havex * y = 63 , x - y = 2=> x = 9 , y = 7 The numbers are 7x and 7y=> 63 and 49

प्र: On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ? 3340 0

उत्तर : 1. "84 years"
व्याख्या :
Answer: A) 84 years Explanation: Let the age of ruler is x so that of son = x/2 (given)Now according to the given condition (x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x=> x = 84

प्र: Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ? 3386 0

प्र: Two goods trains each 520 m long, are running in opposite directions on parallel tracks. Their speeds are 42 km/hr and 36 km/hr respectively. Find the time taken by the slower train to cross the driver of the faster one ? 3380 0

उत्तर : 2. "48 sec"
व्याख्या :
Answer: B) 48 sec Explanation: Relative speed = 42 + 36 = 78 km/hr = 653 m/s Distance = (520 + 520) =1040 mts. Time = 1040×365= 48 sec

प्र: Find the next number in the series 143 143 136 110 ? 3374 0

उत्तर : 3. "47"
व्याख्या :
Answer: C) 47 Explanation: The next number in the series is 143 143 136 110 0 7 26 (Differences) 13 - 1 , 23 - 1, 33 - 1, 43 - 1,...Now the next number is given by110 - (43 - 1) = 110 - 63 = 47.

प्र: The ratio of Karthik’s and Kalyan’s ages is 4: 5. If the difference between the present age of Kalyan and the age of Karthik 5 years hence is 3 years, then what is the total of present ages of Karthik and Kalyan? 3374 0

उत्तर : 4. "72 years"
व्याख्या :
Answer: D) 72 years Explanation: Let us consider Karthik as K1 and Kalyan as K2. Given k18+k1 and K2 - (K1 + 5) = 3 K2 - K1 = 8 K2 = 8 + K1 Now, k18+k1= 45 => K1 = 32 years Therefore K2 = 40 years. K1 + K2 = 72 years.

प्र: If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day ? 3367 0

उत्तर : 3. "102 men"
व्याख्या :
Answer: C) 102 men Explanation: From the above formula i.e (m1 x t1/w1) = (m2 x t2/w2) so, [(34 x 8 x 9)/(2/5)] = [(M x 6 x 9)/(3/5)] so, M = 136 men Number of men to be added to finish the work = 136-34 = 102 men.

प्र: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 3342 0

उत्तर : 1. "84 years"
व्याख्या :
Answer: A) 84 years Explanation: Let the age of ruler is x so that of son = x/2 (given)Now according to the given condition (x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x=> x = 84

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प्र: Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ? 3386 05b5cc75ee4d2b4197774fcc5

प्र: Two goods trains each 520 m long, are running in opposite directions on parallel tracks. Their speeds are 42 km/hr and 36 km/hr respectively. Find the time taken by the slower train to cross the driver of the faster one ? 3380 05b5cc76fe4d2b4197774ff3f

उत्तर : 2. "48 sec" व्याख्या :Answer: B) 48 sec Explanation: Relative speed = 42 + 36 = 78 km/hr = 653 m/s Distance = (520 + 520) =1040 mts. Time = 1040×365= 48 sec

प्र: Find the next number in the series 143 143 136 110 ? 3374 05b5cc6b6e4d2b4197774d5a8

उत्तर : 3. "47" व्याख्या :Answer: C) 47 Explanation: The next number in the series is 143 143 136 110 0 7 26 (Differences) 13 - 1 , 23 - 1, 33 - 1, 43 - 1,...Now the next number is given by110 - (43 - 1) = 110 - 63 = 47.

प्र: The ratio of Karthik’s and Kalyan’s ages is 4: 5. If the difference between the present age of Kalyan and the age of Karthik 5 years hence is 3 years, then what is the total of present ages of Karthik and Kalyan? 3374 05b5cc77fe4d2b419777501a1

उत्तर : 4. "72 years" व्याख्या :Answer: D) 72 years Explanation: Let us consider Karthik as K1 and Kalyan as K2. Given k18+k1 and K2 - (K1 + 5) = 3 K2 - K1 = 8 K2 = 8 + K1 Now, k18+k1= 45 => K1 = 32 years Therefore K2 = 40 years. K1 + K2 = 72 years.

प्र: If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day ? 3367 05b5cc6d9e4d2b4197774e807

उत्तर : 3. "102 men" व्याख्या :Answer: C) 102 men Explanation: From the above formula i.e (m1 x t1/w1) = (m2 x t2/w2) so, [(34 x 8 x 9)/(2/5)] = [(M x 6 x 9)/(3/5)] so, M = 136 men Number of men to be added to finish the work = 136-34 = 102 men.

प्र: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 3342 05b5cc709e4d2b4197774f267

उत्तर : 1. "84 years" व्याख्या :Answer: A) 84 years Explanation: Let the age of ruler is x so that of son = x/2 (given)Now according to the given condition (x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x=> x = 84

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प्र: Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ? 3386 0

प्र: Two goods trains each 520 m long, are running in opposite directions on parallel tracks. Their speeds are 42 km/hr and 36 km/hr respectively. Find the time taken by the slower train to cross the driver of the faster one ? 3380 0

उत्तर : 2. "48 sec"
व्याख्या :
Answer: B) 48 sec Explanation: Relative speed = 42 + 36 = 78 km/hr = 653 m/s Distance = (520 + 520) =1040 mts. Time = 1040×365= 48 sec

प्र: Find the next number in the series 143 143 136 110 ? 3374 0

उत्तर : 3. "47"
व्याख्या :
Answer: C) 47 Explanation: The next number in the series is 143 143 136 110 0 7 26 (Differences) 13 - 1 , 23 - 1, 33 - 1, 43 - 1,...Now the next number is given by110 - (43 - 1) = 110 - 63 = 47.

प्र: The ratio of Karthik’s and Kalyan’s ages is 4: 5. If the difference between the present age of Kalyan and the age of Karthik 5 years hence is 3 years, then what is the total of present ages of Karthik and Kalyan? 3374 0

उत्तर : 4. "72 years"
व्याख्या :
Answer: D) 72 years Explanation: Let us consider Karthik as K1 and Kalyan as K2. Given k18+k1 and K2 - (K1 + 5) = 3 K2 - K1 = 8 K2 = 8 + K1 Now, k18+k1= 45 => K1 = 32 years Therefore K2 = 40 years. K1 + K2 = 72 years.

प्र: If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day ? 3367 0

उत्तर : 3. "102 men"
व्याख्या :
Answer: C) 102 men Explanation: From the above formula i.e (m1 x t1/w1) = (m2 x t2/w2) so, [(34 x 8 x 9)/(2/5)] = [(M x 6 x 9)/(3/5)] so, M = 136 men Number of men to be added to finish the work = 136-34 = 102 men.

प्र: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 3342 0

उत्तर : 1. "84 years"
व्याख्या :
Answer: A) 84 years Explanation: Let the age of ruler is x so that of son = x/2 (given)Now according to the given condition (x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x=> x = 84