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Home Aptitude Simplification See What Others Are Saying!
  • Question
  • (0.49)4 x (0.343)4 ÷ (0.2401)4 x = (70 ÷ 100)? + 3 ?


  • Options
  • A. 3
  • B. 1
  • C. 4
  • D. 7

  • Correct Answer


  • Explanation

    The given question is,
    (70 ÷ 100)? + 3 = (0.49)4 x (0.343)4 ÷ (0.2401)4
    As we know that
    70 ÷ 100 = 0.7
    0.49 = 0.7 2
    0.343 = 0.7 3
    0.2401 = 0.7 4

    Put these value in given question , we will get
    ? (0.7)? + 3 = (0.72)4 x ( 0.73 )4 ÷ ( 0.74 )4
    ? (0.7) ? + 3 = 0.7 2 x 4 x 0.7 3 x 4 ÷ 0.7 4 x 4
    ? (0.7) ? + 3 = 0.7 8 x 0.7 12 ÷ 0.7 16
    Apply the law of Fractional Exponents and Laws of Exponents
    (am)(an) = am+n
    am÷an=am-n
    Or
    am/an=am - n
    we will get,
    ? (0.7)? + 3 = (0.7) 8 + 12 - 16
    ? (0.7)? + 3 = (0.7) 20 - 16
    ? (0.7)? + 3 = (0.7) 4
    On comparing the exponents both sides, we get
    ? + 3 = 4
    ? ? = 4 - 3 = 1


  • More questions

    • 1. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

    • Options
    • A. 2 : 3
    • B. 1 : 1
    • C. 3 : 4
    • D. 4 : 3
    • Discuss
    • 2. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

    • Options
    • A. 65 sec
    • B. 89 sec
    • C. 100 sec
    • D. 150 sec
    • Discuss
    • 3. What was the day of the week on 17th June, 1998?

    • Options
    • A. Monday
    • B. Tuesday
    • C. Wednesday
    • D. Thursday
    • Discuss
    • 4. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

    • Options
    • A. 279
    • B. 283
    • C. 308
    • D. 318
    • Discuss
    • 5. 
      1872/ ? ? = 234

    • Options
    • A. 324
    • B. 64
    • C. 8
    • D. 256
    • Discuss
    • 6. 
      For every 4 leaps taken by a dog, a cat takes 5 leaps in the same time. But distance covered in 3 leaps of dog is same as that of 4 leaps of cat. Then what is the ratio of speed of dog and cat?

    • Options
    • A. 15 : 14
    • B. 16 :15
    • C. 12 :11
    • D. 10 : 9
    • Discuss
    • 7. 
      A come of height 7 cm and base radius 3 cm is curved from a rectangular block of wood 10 cm x 5 cm x 2 cm. The percentage of wood wasted is?

    • Options
    • A. 34%
    • B. 46%
    • C. 54%
    • D. 66%
    • Discuss
    • 8. 
      1, 9, 25, 49, 81,?

    • Options
    • A. 90
    • B. 135
    • C. 121
    • D. 125
    • Discuss
    • 9. 
      An accurate clock shows the time as 3:00 after hour hand has moved 135°, the time would be?

    • Options
    • A. 7:30
    • B. 6:30
    • C. 8:00
    • D. 9:30
    • Discuss
    • 10. 
      P.V. Narsihma Rao was elected party leader on 29th may, 1991. What was the day of the week?

    • Options
    • A. Tuesday
    • B. Friday
    • C. Wednesday
    • D. Sunday
    • Discuss


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