Quantitative Aptitude प्रश्न और उत्तर का अभ्यास करें

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 ? 2779 0

  • 1
    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840
    सही
    गलत
  • 2
    Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
    सही
    गलत
  • 3
    Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840
    सही
    गलत
  • 4
    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940
    सही
    गलत
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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: Find the odd man out in the following number series? 5, 4, 9, 32, 273 2771 0

  • 1
    4
    सही
    गलत
  • 2
    9
    सही
    गलत
  • 3
    32
    सही
    गलत
  • 4
    273
    सही
    गलत
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उत्तर : 3. "32"
व्याख्या :

Answer: C) 32 Explanation: The given number series follows 5, 4, 9, 32, 308 pattern that   5 5 x 1 - 1 = 4 4 x 3 - 3 = 9 9 x 5 - 5 = 40 (not equals to 32) 40 x 7 - 7 = 273   Hence, the odd man in the given number series is 32.

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 ? 2769 0

  • 1
    1900
    सही
    गलत
  • 2
    2100
    सही
    गलत
  • 3
    1700
    सही
    गलत
  • 4
    2000
    सही
    गलत
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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: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ? 2765 0

  • 1
    Rs. 820
    सही
    गलत
  • 2
    Rs. 830
    सही
    गलत
  • 3
    Rs. 840
    सही
    गलत
  • 4
    Rs. 850
    सही
    गलत
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उत्तर : 2. "Rs. 830"
व्याख्या :

Answer: B) Rs. 830 Explanation: Let the total amount in the partnership be 'x'.Then A's share = x/3B's share = x/4C's share = x/5D's share = x - (x/3 + x/4 +x/5) = 13x/60 A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13 A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.

प्र: Three taps P, Q and R can fill a tank in 12 hrs, 15 hrs and 20 hrs respectively. If P is open all the time and Q and R are open for one hour each alternately, starting with Q, then the tank will be full in how many hours ? 2749 0

  • 1
    9 hrs
    सही
    गलत
  • 2
    7 hrs
    सही
    गलत
  • 3
    13 hrs
    सही
    गलत
  • 4
    11 hrs
    सही
    गलत
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उत्तर : 2. "7 hrs"
व्याख्या :

Answer: B) 7 hrs Explanation: Given, P can fill in 12 hrs Q can fill in 15 hrs R can fill in 20 hrs => Volume of tank = LCM of 12, 15, 20 = 60 lit => P alone can fill the tank in 60/12 = 5 hrs => Q alone can fill the tank in 60/15 = 4 hrs => R alone can fill the tank in 60/20 = 3 hrs Tank can be filled in the way that (P+Q) + (P+R) + (P+Q) + (P+R) + .... => Tank filled in 2 hrs = (5+4) + (5+3) = 9 + 8 = 17 lit => In 6 hrs = 17 x 6/2 = 51 lit => In 7th hr = 51 + (5+4) = 51 + 9 = 60 lit => So, total tank will be filled in 7 hrs.

प्र: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ? 2747 0

  • 1
    5:3
    सही
    गलत
  • 2
    1:4
    सही
    गलत
  • 3
    4:1
    सही
    गलत
  • 4
    9:1
    सही
    गलत
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उत्तर : 4. "9:1"
व्याख्या :

Answer: D) 9:1 Explanation: Milk = 3/5 x 20 = 12 liters, water = 8 liters   If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.   Remaining milk = 12 - 6 = 6 liters Remaining water = 8 - 4 = 4 liters   10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.   The ratio of milk and water in the new mixture = 16:4 = 4:1   If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 x 10 = 8 liters.   Amount of water removed = 2 liters.   Remaining milk = (16 - 8) = 8 liters. Remaining water = (4 -2) = 2 liters.   Now 10 lts milk is added => total milk = 18 lts   The required ratio of milk and water in the final mixture obtained   = (8 + 10):2 = 18:2 = 9:1.

प्र: The ages of Anushka, Kajal and Charu latha together are 57 years. Bharti is thrice as old as Anushka and Charu latha is 12 years older than Anushka. Then, the respective age of Anushka, Kajal and Charu latha is ? 2742 0

  • 1
    27, 9, 21
    सही
    गलत
  • 2
    9, 21, 27
    सही
    गलत
  • 3
    21, 27, 9
    सही
    गलत
  • 4
    9, 27, 21
    सही
    गलत
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उत्तर : 4. "9, 27, 21"
व्याख्या :

Answer: D) 9, 27, 21 Explanation: Let Anushka age = XCharu latha 12 yrs older than Anushka so Charu latha age = x+12Kajal is thrice as old as Anushka so Kajal age = 3xThe ages of Anushka, Kajal and Charu latha together are 57 yearsi.e x + (x+12) + 3x = 57=> 5x = 45:- x = 9Anushka age = 9Kajal age = 3x = 27Charu latha age = x+12 = 21

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