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  • Question
  • A number consist of two digit whose sum is 10. If the digits of the number are reversed, then the number decreased by 36. Which of the following is/are correct?
    I. The number is divisible by a composite number.
    II. The number is multiple of a prime number.


  • Options
  • A. Only I
  • B. Only II
  • C. Both I and II
  • D. neither I nor II

  • Correct Answer
  • Only II 

    Explanation

    Let the two digit number be 10x + y.
    Now, according to the question,
    x + y = 10............(i)
    if digits reversed , number get decreased by 36,
    and ( x +10y) = ( 10x + y ) - 36
    ? - 9y + 9x = 36
    ? x - y = 4 ..................... (ii)
    On adding Eqs. (i) and (ii), we get
    2x = 14
    ? x = 7
    ? x = 7 and y = 3
    ? Required number is 73.
    So,the number is a multiple of a prime number.


  • More questions

    • 1. 
      If a : b = 2 : 3 and 2 : a =1 : 2, then the value of 'b' is?

    • Options
    • A. 4
    • B. 6
    • C. 1 / 3
    • D. 3 / 2
    • Discuss
    • 2. 
      0.6 of a number equals 0.09 of another number. The ratio of the number is?

    • Options
    • A. 2 : 3
    • B. 1 : 15
    • C. 20 : 3
    • D. 3 : 20
    • Discuss
    • 3. 
      If a/3 = b/8, then ( a + 3 ) : ( b + 8 ) is equal to?

    • Options
    • A. 3 : 8
    • B. 8 : 3
    • C. 5 : 8
    • D. 3 : 5
    • Discuss
    • 4. 
      4, 19, 49,?, 229

    • Options
    • A. 75
    • B. 109
    • C. 65
    • D. 169
    • Discuss
    • 5. 
      777777 / 11 =?

    • Options
    • A. 7077
    • B. 70707
    • C. 7707
    • D. 7007
    • Discuss
    • 6. 
      Find the cardinal number of the following set {x: x is a natural number ? 30 and is divisible by 7 or 11}

    • Options
    • A. 4
    • B. 8
    • C. 6
    • D. 2
    • Discuss
    • 7. 
      SBI lent ? 1331 lakh to the TATA group at compound interest and got ?1728 lakh after 3 yr. What is the rate of interest charged, if compounded annually?

    • Options
    • A. 11%
    • B. 9.09%
    • C. 12%
    • D. 8.33%
    • Discuss
    • 8. 
      The sum of two numbers is 10. Their product is 20. Find the sum of the reciprocals of the two numbers.

    • Options
    • A. 1
    • B. 3/5
    • C. 1/2
    • D. 11//6
    • Discuss
    • 9. 
      5 men and 6 women can earn ? 2160 in 4 days. 8 men and 10 women can earn ? 4400 in 5 days. In how many days can 4 men and 9 women earn ? 1800?

    • Options
    • A. 3
    • B. 4
    • C. 5
    • D. 6
    • Discuss
    • 10. 
      A train 110 metres long travels at 60 km/hr. How long does it take to cross a telegraph post?

    • Options
    • A. 5 sec.
    • B. 5.6 sec
    • C. 6.6 sec
    • D. 6.8 sec
    • Discuss


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