# Math Puzzle 27

This math puzzle 27 is on logical reasoning, circumference, probability,sequence etc**1) Which of the following is equivalent to 0.005?**

A. 5/100 B. 1/200 C. 5/200 D. 1/500 E. 1/250

**2) Probability of an event could be any one of the following except:**

I 0.5

II 0.733

III 1.011

IV 0.01

I 0.5

II 0.733

III 1.011

IV 0.01

A. I, II & IV B. IV C. III & IV D. III E. Insufficient data

**3) If x @ y = x**

^{2}- y^{2}, what is (x @ y) / (x + y)?A. (x + y) B. (x - y) C. (x + y)

^{2}( x - y) D. (x + y)(x – y)

^{2}E. 1

**4) Which of the following numbers when divided by 9, leaves a remainder 0?**

A. 928712 B. 928791 C. 928731 D. 928162 E. 928343

**5) In the sequence of numbers 2, 4, 8, 16 each term is obtained by multiplying the previous by 2. In such a series, what is the ratio of the 4th term to the 6th term?**

A. 1:1 B. 1:2 C. 1:4 D. 1:8 E. 1:32

**6) What is the value of a, if 7a - b + c = 48 and b = a / 2, c = 3a / 2?**

A. 1 B. 2 C. 4 D. 6 E. 8

**7) Circumference of a circle with radius 4 is equal to the perimeter of a square. What is the length of the square?**

A. 1 B. 4 C. π D. 2π E. 4π

**8) An unbiased coin is tossed n times. The probability of a head or a tail turning up on the nth trial is**

A. n*(0.5)

^{2}B. n/(0.5)

^{2}C. 0.5*(n)

^{2}D. 0.5 E. 1

**9) Book-shop1 offers a discount of 29% on a book whereas Book-shop2 offers two successive discounts of 10% and 20% for the same book. Which shop offers maximum benefit to the buyer?**

A. Book-shop1 B. Book-shop2 C. both offer same benefit

D. cannot be predicted E. None of the above

**10) A number x is increased by y% and then decreased by y%. The final number obtained will be**

I less than x always

II more than x always

III equal to x always

I less than x always

II more than x always

III equal to x always

A. I B. II C. III D. I or II E. Insufficient data

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