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प्र: Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ? 3601 0

  • 1
    17 days
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  • 2
    11 days
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  • 3
    15 days
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  • 4
    16 days
    सही
    गलत
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उत्तर : 3. "15 days"
व्याख्या :

Answer: C) 15 days Explanation: We know that Time is inversely proportional to Efficiency Here given time ratio of P & P+Q as P/P+Q = 150/100 = 3:2 Efficiency ratio of P & Q as P:Q = 2:1 ....(1) Given Efficiency ratio of Q & R as Q:R = 3:1 ....(2) From (1) & (2), we get P:Q:R = 6:3:1 P alone can finish the work in 22.5(3+1)/6 = 15 days.

प्र: National Highway No: _____  is called as Shershah Suri Marg ? 3590 0

  • 1
    NH-1
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  • 2
    NH-3
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  • 3
    NH-7
    सही
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  • 4
    NH-5
    सही
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उत्तर : 1. "NH-1"
व्याख्या :

Answer: A) NH-1 Explanation: N.H. 1 is also called The Sher Shah Suri Marg between Delhi and Amritsar.

प्र: In an exhibition, Almond bought a painting for Rs. 20000. He later sold it to Olive for Rs. 23000. Olive sold it to Sarah for double the profit percentage that Almond earned. At what price should Sarah sell this painting to earn 8% profit ? 1640 0

  • 1
    Rs. 34,410
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  • 2
    Rs. 31,184
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  • 3
    Rs. 29,999
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    गलत
  • 4
    Rs. 32,292
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उत्तर : 4. "Rs. 32,292"
व्याख्या :

Answer: D) Rs. 32,292 Explanation: Almond Selling price = CP(1 + P%/100) => CP = 20000, SP = 23000 => 23000 = 20000 (1 + P/100) => P% = 100(23000/20000 - 1) = 15 Then, Olive's P% = 30% SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900 Now Sarah wants to earn profit of 8% => Sp for Sarah = 29900(1 + 8/100) = Rs. 32,292.

प्र: A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit  ? 1217 0

  • 1
    Rs. 8,640
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  • 2
    Rs. 9,850
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  • 3
    Rs. 10,000
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  • 4
    Rs. 11,220
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उत्तर : 3. "Rs. 10,000"
व्याख्या :

Answer: C) Rs. 10,000 Explanation: Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12 = 36 : 36 : 48 = 6 : 6 : 8 But given that the annual profit of B is Rs. 3000 => 6 ratio = 3000 Then for the total annual profit of partners is 20 ratio = 3000 x 20/6 = 10,000.

प्र: Navaneet has thrice the money Poonam has and Poonam has 25% more money than Hebah. If the average money of the three is Rs. 350, What is the amount that Navaneet has ? 1408 0

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    Rs. 175
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  • 2
    Rs. 220.75
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  • 3
    Rs. 218.55
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  • 4
    Rs. 656.25
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उत्तर : 4. "Rs. 656.25"
व्याख्या :

Answer: D) Rs. 656.25 Explanation: Assume Hebah has Rs. M Since 25% more money at Poonam => Money at Poonam = M + (25% of M) => Money at Poonam = M + 0.25M = Rs. 1.25M Money with Navaneet is thrice the money with Poonam, => Money at Navaneet = 3(1.25M) = Rs. 3.75M Now, sum of all Money = (M + 1.25M + 3.75M) = Rs. 6M But given the average of the money is Rs. 350 => 6M/3 = 350 => 2M = 350 => M = 350/2 = Rs. 175 => Amount of money Navaneet has = Rs. 3.75M = 3.75 x 175 = Rs. 656.25.

प्र: What should come in place of question mark (?) in the following number series? 38, 195, ?, 4905, 24530, 122655 1354 0

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    980
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  • 2
    885
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  • 3
    824
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  • 4
    1021
    सही
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उत्तर : 1. "980"
व्याख्या :

Answer: A) 980 Explanation: The given series follows the pattern that,   ×5+5,   ×5+5,   ×5+5,   ×5+5,   ×5+5   38 x 5 + 5  = 195   195 x 5 + 5 = 980   980 x 5 + 5 = 4905   4905 x 5 + 5 = 24530   24530 x 5 + 5 = 122655   So the missing number is 980 .

प्र: A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ? 1203 0

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    250 mts
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  • 2
    400 mts
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  • 3
    320 mts
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  • 4
    390 mts
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उत्तर : 2. "400 mts"
व्याख्या :

Answer: B) 400 mts Explanation: Let the length of the 1st train = L mts Speed of 1st train = 48 kmph Now the length of the 2nd train = L/2 mts Speed of 2nd train = 42 kmph Let the length of the bridge = D mts Distance = L + L/2 = 3L/2 Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite) Time = 12 sec => 3L/2x25 = 12 => L = 200 mts Now it covers the bridge in 45 sec => distance = D + 200 Time = 45 sec Speed = 48 x5/18 = 40/3 m/s => D + 200/(40/3) = 45 => D = 600 - 200 = 400 mts Hence, the length of the bridge = 400 mts.

प्र: To fill 8 vacancies there are 15 candidates of which 5 are from ST. If 3 of the vacancies are reserved for ST candidates while the rest are open to all, Find the number of ways in which the selection can be done ? 1111 0

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    7920
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  • 2
    74841
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    14874
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  • 4
    10213
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उत्तर : 1. "7920"
व्याख्या :

Answer: A) 7920 Explanation: ST candidates vacancies can be filled by C35 ways = 10  Remaining vacancies are 5 that are to be filled by 12  => C512= (12x11x10x9x8)/(5x4x3x2x1) = 792  Total number of filling the vacancies = 10 x 792 = 7920

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