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प्र: The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ? 1726 0

उत्तर : 4. "10 months"
व्याख्या :
Answer: D) 10 months Explanation: 7x5: 5xk = 7:10k = 10 months

प्र: A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ? 1101 0

उत्तर : 3. "28 hrs"
व्याख्या :
Answer: C) 28 hrs Explanation: 1/K + 1/L + 1/M = 1/8 (Given)Also given that K = 2L and L = 2M=> 1/2L + 1/L + 2/L = 1/8=> (1 + 2 + 4)/2L = 1/8=> 2L/7 = 8=> L = 28 hours.

प्र: The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is: 1183 0

उत्तर : 1. "30"
व्याख्या :
Answer: A) 30 Explanation: Then, A:B = 2:3 and B:C = 5:8= (5 x 3/5) : (8 x 3/5) = 3:24/5A:B:C = 2:3:24/5= 10:15:24 => B = 98 x 15/49 = 30.

प्र: The price of an article has been reduced by 35%. In order to restore the original price the new price must be increased by ? 1364 0

उत्तर : 4. "53.84 %"
व्याख्या :
Answer: D) 53.84 % Explanation: 100 65 -------65 ------- 35100 ------ ? => 53.84 %

प्र: A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ? 1343 0

उत्तर : 1. "10 days"
व्याख्या :
Answer: A) 10 days Explanation: For 30 days he receives 30 x 25 = 750 Actually he gets 425 Therefore, Fine is 750 - 425 = 325 => No of days absent = 325/(25+7.50)= 10

प्र: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ? 1861 0

उत्तर : 2. "50/9 %"
व्याख्या :
Answer: B) 50/9 % Explanation: Let sum = S. Then, amount = 7S/6 S.I. = 7S/6 - S = S/6; Time = 3 years. Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.

प्र: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ? 1262 0

उत्तर : 3. "47619"
व्याख्या :
Answer: C) 47619 Explanation: By hit and trail, we find that 47619 x 7 = 333333. 7) 333333 (47619 333333---------------- 0 And 476190476 x 7 = 3333333333 but smallest number is 47619.

प्र: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ? 1508 0

प्र: The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ? 1726 05b5cc6dfe4d2b4197774eaf3

उत्तर : 4. "10 months" व्याख्या :Answer: D) 10 months Explanation: 7x5: 5xk = 7:10k = 10 months

प्र: A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ? 1101 05b5cc6dfe4d2b4197774eaee

उत्तर : 3. "28 hrs" व्याख्या :Answer: C) 28 hrs Explanation: 1/K + 1/L + 1/M = 1/8 (Given)Also given that K = 2L and L = 2M=> 1/2L + 1/L + 2/L = 1/8=> (1 + 2 + 4)/2L = 1/8=> 2L/7 = 8=> L = 28 hours.

प्र: The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is: 1183 05b5cc6dfe4d2b4197774eae9

उत्तर : 1. "30" व्याख्या :Answer: A) 30 Explanation: Then, A:B = 2:3 and B:C = 5:8= (5 x 3/5) : (8 x 3/5) = 3:24/5A:B:C = 2:3:24/5= 10:15:24 => B = 98 x 15/49 = 30.

प्र: The price of an article has been reduced by 35%. In order to restore the original price the new price must be increased by ? 1364 05b5cc6dfe4d2b4197774eae4

उत्तर : 4. "53.84 %" व्याख्या :Answer: D) 53.84 % Explanation: 100 65 -------65 ------- 35100 ------ ? => 53.84 %

प्र: A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ? 1343 05b5cc6dfe4d2b4197774ead0

उत्तर : 1. "10 days" व्याख्या :Answer: A) 10 days Explanation: For 30 days he receives 30 x 25 = 750 Actually he gets 425 Therefore, Fine is 750 - 425 = 325 => No of days absent = 325/(25+7.50)= 10

प्र: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ? 1861 05b5cc6dfe4d2b4197774eacb

उत्तर : 2. "50/9 %" व्याख्या :Answer: B) 50/9 % Explanation: Let sum = S. Then, amount = 7S/6 S.I. = 7S/6 - S = S/6; Time = 3 years. Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.

प्र: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ? 1262 05b5cc6dfe4d2b4197774eac6

उत्तर : 3. "47619" व्याख्या :Answer: C) 47619 Explanation: By hit and trail, we find that 47619 x 7 = 333333. 7) 333333 (47619 333333---------------- 0 And 476190476 x 7 = 3333333333 but smallest number is 47619.

प्र: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ? 1508 05b5cc6dfe4d2b4197774eabc

उत्तर : 1. "5" व्याख्या :Answer: A) 5 Explanation: Let the number be x. Then, 3x2 - 4x = x + 50 3x2- 5x - 50 = 0 (3x + 10)(x - 5) = 0 x = 5

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प्र: The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ? 1726 0

उत्तर : 4. "10 months"
व्याख्या :
Answer: D) 10 months Explanation: 7x5: 5xk = 7:10k = 10 months

प्र: A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ? 1101 0

उत्तर : 3. "28 hrs"
व्याख्या :
Answer: C) 28 hrs Explanation: 1/K + 1/L + 1/M = 1/8 (Given)Also given that K = 2L and L = 2M=> 1/2L + 1/L + 2/L = 1/8=> (1 + 2 + 4)/2L = 1/8=> 2L/7 = 8=> L = 28 hours.

प्र: The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is: 1183 0

उत्तर : 1. "30"
व्याख्या :
Answer: A) 30 Explanation: Then, A:B = 2:3 and B:C = 5:8= (5 x 3/5) : (8 x 3/5) = 3:24/5A:B:C = 2:3:24/5= 10:15:24 => B = 98 x 15/49 = 30.

प्र: The price of an article has been reduced by 35%. In order to restore the original price the new price must be increased by ? 1364 0

उत्तर : 4. "53.84 %"
व्याख्या :
Answer: D) 53.84 % Explanation: 100 65 -------65 ------- 35100 ------ ? => 53.84 %

प्र: A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ? 1343 0

उत्तर : 1. "10 days"
व्याख्या :
Answer: A) 10 days Explanation: For 30 days he receives 30 x 25 = 750 Actually he gets 425 Therefore, Fine is 750 - 425 = 325 => No of days absent = 325/(25+7.50)= 10

प्र: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ? 1861 0

उत्तर : 2. "50/9 %"
व्याख्या :
Answer: B) 50/9 % Explanation: Let sum = S. Then, amount = 7S/6 S.I. = 7S/6 - S = S/6; Time = 3 years. Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.

प्र: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ? 1262 0

उत्तर : 3. "47619"
व्याख्या :
Answer: C) 47619 Explanation: By hit and trail, we find that 47619 x 7 = 333333. 7) 333333 (47619 333333---------------- 0 And 476190476 x 7 = 3333333333 but smallest number is 47619.

प्र: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ? 1508 0

उत्तर : 1. "5"
व्याख्या :
Answer: A) 5 Explanation: Let the number be x. Then, 3x2 - 4x = x + 50 3x2- 5x - 50 = 0 (3x + 10)(x - 5) = 0 x = 5