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  • Question

  • The average age of a group of persons going for picnic is 16 years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is :


  • Options
  • A. 15
  • B. 20
  • C. 23
  • D. 24

  • Correct Answer
  • 20 

    Explanation

    Let the initial number of persons be x. Then,

    16x + 20 * 15 = 15.5 (x + 20) <=> 0.5x = 10 <=> x = 20.

    • More questions

    • 1. If the expression px3 ? qx2 ? 7x ? 6 is completely divisible by x2 ? x ? 6 , then what is the value of p and q respectively?

    • Options
    • A. 0, 1
    • B. 1, 0
    • C. 2, 1
    • D. 1, 2
      • Discuss
    • 2. If the expression px3 ? 2x2 ? qx + 18 is completely divisible by (x2 ? 9) , then what is the ratio between p and q respectively?

    • Options
    • A. 1:9
    • B. 1:3
    • C. 3:1
    • D. 9:1
      • Discuss
    • 3. If (x/y)a-4 = (y/x)2a-5 , then what is the relation between x and y?

    • Options
    • A. x > y
    • B. Cannot be determined
    • C. x < y
    • D. x = y
      • Discuss
    • 4. If 3a ? (3/a) ? 3 = 0, then what is the value of a3 ? (1/a3) + 2 ?

    • Options
    • A. 0
    • B. 2
    • C. 4
    • D. 6
      • Discuss
    • 5. Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in cm2) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?

    • Options
    • A. 6
    • B. 9?3
    • C. 12
    • D. 12?3
      • Discuss
    • 6. If 2 cos ? = 2 ? sin ?, then what is the value of cos ??

    • Options
    • A. 1 or 3/5
    • B. 1 or ?1/2
    • C. ?1 or?1/2
    • D. ?1 or 3/5
      • Discuss
    • 7. If x3+ 2x2? 5x + k is divisible by x + 1, then what is the value of k?

    • Options
    • A. -6
    • B. -1
    • C. 0
    • D. 6
      • Discuss
    • 8. If 3x + [1/(5x)] = 7, then what is the value of 5x/(15x2+ 15x + 1) ?

    • Options
    • A. 1/5
    • B. 1/10
    • C. 2/5
    • D. 10
      • Discuss
    • 9. If x + [1/(4x)] = 5/2, then what is the value of (64x6+ 1)/8x3 ?

    • Options
    • A. 110
    • B. 115
    • C. 125
    • D. 140
      • Discuss
    • 10. If x2+ x = 19 , then what is the value of (x + 5)2+ [1/(x + 5)2] ?

    • Options
    • A. 77
    • B. 79
    • C. 81
    • D. 83
      • Discuss

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