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  • Question
  • In a competitive examination, the average marks for the entire examination was 60 marks. If 20% of the applicants scored 85 marks and 25% scored 95 marks. What was the average marks of the remaining applicants in the examination ?


  • Options
  • A. 60
  • B. 52
  • C. 45
  • D. 35

  • Correct Answer
  • 35 

    Explanation

    Let the total applicants be 100

     

    Then, 20% got 85 marks

    i.e 20 x 85 = 1700

     

    and 25% got 95 marks

     i.e 25 x 95 = 2375

     

    Now, the remaining applicants are 55 and let the average marks scored by them be x.

     

    Therefore, 2375 + 1700 + 55x  =   60 × 100  

    6000 - 4075 = 55x

    55x=1925

    x=35.

  • Tags: GATE, CAT, Bank Exams, Bank PO, Bank Clerk

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    • 1. A sales boy is allowed 412 % discount on the total sales made by him plus a bonus of 14 % on the sales over Rs.12,000.If his total earnings were Rs.2400, then his total sales(in Rs.) are ?

    • Options
    • A. Rs.60,145.23
    • B. Rs.54,285.54
    • C. Rs.52,147.85
    • D. Rs.50,589.47
    • Discuss
    • 2. What will come in place of the question mark (?) in the following question ? 52.5% of 800 + 30.5% of 2800 = ? + 87.30

    • Options
    • A. 1096.30
    • B. 1226.70
    • C. 1124.20
    • D. 1186.70
    • Discuss
    • 3. Arun?s weight is 140% of Akhil?s weight. Nani?s weight is 90% of Shreyon?s weight. Shreyon?s weight is twice as much as Akhil?s. What percentage of Arun?s weight is Nani?s weight?

    • Options
    • A. 76%
    • B. 77%
    • C. 78%
    • D. 79%
    • Discuss
    • 4. 74.99% of 1299 + 8.98% of 1899 = ?

    • Options
    • A. 1378
    • B. 1301
    • C. 1212
    • D. 1197
    • Discuss
    • 5. In order to maximize his gain, a shopping mall owner decides to reduce the price of electronics goods by 20% and as a result of this, the sales of electronics increase by 40%. If, as a result of these changes, he is able to increase his weekly collection by Rs. 1,05,000, find by what value did the gross collection increase per day?

    • Options
    • A. Rs. 14400
    • B. Rs. 14600
    • C. Rs. 14800
    • D. Rs. 15000
    • Discuss
    • 6. If there are 150 questions in a 3 hr examination. Among these questions 50 are type A problems, which requires twice as much as time be spent on the rest of the type B problems. How many minutes should be spent on type A problems ?

    • Options
    • A. 75 min
    • B. 82 min
    • C. 90 min
    • D. 101 min
    • Discuss
    • 7. Two numbers are 35% and 42% are less than a third number .How much percent is the second number less than the first ?

    • Options
    • A. 10.769 %
    • B. 11.23 %
    • C. 10.4 %
    • D. 9.87 %
    • Discuss
    • 8. Express 6.72 % in ratio ?

    • Options
    • A. 65 : 124
    • B. 42 : 625
    • C. 21 : 125
    • D. 37 : 442
    • Discuss
    • 9. 1/2 as a percentage?

    • Options
    • A. 50%
    • B. 5%
    • C. 0.5%
    • D. 0.05%
    • Discuss
    • 10. Rs. 69 were divided among 115 family members so that each lady gets 50 paise less than each gentleman, and each gentleman received twice the paise as each lady received. Find the number of gentlemen in the family?

    • Options
    • A. 23
    • B. 92
    • C. 48
    • D. 52
    • Discuss


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