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प्र: Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern ? 1442 0

उत्तर : 4. "100 min"
व्याख्या :
Answer: D) 100 min Explanation: Work done by the third pipe in 1 min = 1/50 - (1/60 + 1/75) = - 1/100.[-ve sign means emptying] The third pipe alone can empty the cistern in 100 min.

प्र: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement ? 2712 0

उत्तर : 1. "1900"
व्याख्या :
Answer: A) 1900 Explanation: Given 2000 ---- 54 days The provisions for 2000 men for 39 days can be completed by 'm' men for only 20 days. i.e, 2000 ----- 39 days == m ---- 20 days => m x 20 = 2000 x 39 m = 3900 So total men for 20 days is 3900 => 2000 old and 1900 new reinforcement. Hence, reinforcement = 1900.

प्र: Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ? 947 0

उत्तर : 1. "6"
व्याख्या :
Answer: A) 6 Explanation: Let rate = R% and time = R years. Then, (1200 x R x R) / 100 = 432 => R = 6.

प्र: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1653 0

उत्तर : 2. "180"
व्याख्या :
Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ; 8 x 9 x 25 x 7 = 23 × 32 × 52 × 7 16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72 H.C.F = 22 × 32 × 5 = 180.

प्र: The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ? 949 0

उत्तर : 3. "6 m"
व्याख्या :
Answer: C) 6 m Explanation: The edge of the new cube is = 33+43+53 = a3 => a = 6 m.

प्र: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit ? 1612 0

उत्तर : 4. "None"
व्याख्या :
Answer: D) None Explanation: Amount = 80001+51002 = 8000 x 21/20 x 21/20 = Rs. 8820

प्र: A thief goes away with a MARUTHI car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ? 8277 0

उत्तर : 2. "2 hrs"
व्याख्या :
Answer: B) 2 hrs Explanation: |-----------20--------------------|50 40 Difference = 20kms Relative Speed = 50 – 40 = 10 kmph Time = 20/10 = 2 hours.

प्र: 96% of the population of a village is 23040. The total population of the village is ? 2917 0

उत्तर : 4. "100 min"
व्याख्या :
Answer: D) 100 min Explanation: Work done by the third pipe in 1 min = 1/50 - (1/60 + 1/75) = - 1/100.[-ve sign means emptying] The third pipe alone can empty the cistern in 100 min.

प्र: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement ? 2712 0

प्र: Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ? 947 0

उत्तर : 1. "6"
व्याख्या :
Answer: A) 6 Explanation: Let rate = R% and time = R years. Then, (1200 x R x R) / 100 = 432 => R = 6.

प्र: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1653 0

उत्तर : 2. "180"
व्याख्या :
Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ; 8 x 9 x 25 x 7 = 23 × 32 × 52 × 7 16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72 H.C.F = 22 × 32 × 5 = 180.

प्र: The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ? 949 0

उत्तर : 3. "6 m"
व्याख्या :
Answer: C) 6 m Explanation: The edge of the new cube is = 33+43+53 = a3 => a = 6 m.

प्र: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit ? 1612 0

उत्तर : 4. "None"
व्याख्या :
Answer: D) None Explanation: Amount = 80001+51002 = 8000 x 21/20 x 21/20 = Rs. 8820

प्र: A thief goes away with a MARUTHI car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ? 8277 0

उत्तर : 2. "2 hrs"
व्याख्या :
Answer: B) 2 hrs Explanation: |-----------20--------------------|50 40 Difference = 20kms Relative Speed = 50 – 40 = 10 kmph Time = 20/10 = 2 hours.

प्र: 96% of the population of a village is 23040. The total population of the village is ? 2917 0

उत्तर : 1. "24000"
व्याख्या :
Answer: A) 24000 Explanation: Let the total population be 'P' P x (96/100) = 23040 P = 240 * 100 P = 24000.

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उत्तर : 4. "100 min" व्याख्या :Answer: D) 100 min Explanation: Work done by the third pipe in 1 min = 1/50 - (1/60 + 1/75) = - 1/100.[-ve sign means emptying] The third pipe alone can empty the cistern in 100 min.

प्र: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement ? 2712 05b5cc6e7e4d2b4197774edb0

प्र: Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ? 947 05b5cc6e7e4d2b4197774edab

उत्तर : 1. "6" व्याख्या :Answer: A) 6 Explanation: Let rate = R% and time = R years. Then, (1200 x R x R) / 100 = 432 => R = 6.

प्र: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1653 05b5cc6e7e4d2b4197774eda6

उत्तर : 2. "180" व्याख्या :Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ; 8 x 9 x 25 x 7 = 23 × 32 × 52 × 7 16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72 H.C.F = 22 × 32 × 5 = 180.

प्र: The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ? 949 05b5cc6e7e4d2b4197774eda1

उत्तर : 3. "6 m" व्याख्या :Answer: C) 6 m Explanation: The edge of the new cube is = 33+43+53 = a3 => a = 6 m.

प्र: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit ? 1612 05b5cc6e7e4d2b4197774ed9c

उत्तर : 4. "None" व्याख्या :Answer: D) None Explanation: Amount = 80001+51002 = 8000 x 21/20 x 21/20 = Rs. 8820

प्र: A thief goes away with a MARUTHI car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ? 8277 05b5cc6e7e4d2b4197774ed97

उत्तर : 2. "2 hrs" व्याख्या :Answer: B) 2 hrs Explanation: |-----------20--------------------|50 40 Difference = 20kms Relative Speed = 50 – 40 = 10 kmph Time = 20/10 = 2 hours.

प्र: 96% of the population of a village is 23040. The total population of the village is ? 2917 05b5cc6e7e4d2b4197774ed92

उत्तर : 1. "24000" व्याख्या :Answer: A) 24000 Explanation: Let the total population be 'P' P x (96/100) = 23040 P = 240 * 100 P = 24000.

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उत्तर : 4. "100 min"
व्याख्या :
Answer: D) 100 min Explanation: Work done by the third pipe in 1 min = 1/50 - (1/60 + 1/75) = - 1/100.[-ve sign means emptying] The third pipe alone can empty the cistern in 100 min.

प्र: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement ? 2712 0

प्र: Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ? 947 0

उत्तर : 1. "6"
व्याख्या :
Answer: A) 6 Explanation: Let rate = R% and time = R years. Then, (1200 x R x R) / 100 = 432 => R = 6.

प्र: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1653 0

उत्तर : 2. "180"
व्याख्या :
Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ; 8 x 9 x 25 x 7 = 23 × 32 × 52 × 7 16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72 H.C.F = 22 × 32 × 5 = 180.

प्र: The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ? 949 0

उत्तर : 3. "6 m"
व्याख्या :
Answer: C) 6 m Explanation: The edge of the new cube is = 33+43+53 = a3 => a = 6 m.

प्र: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit ? 1612 0

उत्तर : 4. "None"
व्याख्या :
Answer: D) None Explanation: Amount = 80001+51002 = 8000 x 21/20 x 21/20 = Rs. 8820

प्र: A thief goes away with a MARUTHI car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ? 8277 0

उत्तर : 2. "2 hrs"
व्याख्या :
Answer: B) 2 hrs Explanation: |-----------20--------------------|50 40 Difference = 20kms Relative Speed = 50 – 40 = 10 kmph Time = 20/10 = 2 hours.

प्र: 96% of the population of a village is 23040. The total population of the village is ? 2917 0

उत्तर : 1. "24000"
व्याख्या :
Answer: A) 24000 Explanation: Let the total population be 'P' P x (96/100) = 23040 P = 240 * 100 P = 24000.