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Concept tested: Even/Odd number Question:If a is odd and b is even, is ab odd, or even?

Answer: xy is even An odd number can be represented as 2n + 1, and an even number can be represented as 2n, where n is an integer.Multiplying 2n + 1 and 2n would yield 4n2 +2n, which is always even, since 2 is a factor of both terms.

Mantra: odd number times an even number is always even. _________________

Answer: -1 –1 raised to any even power is 1 {eg (–1) × (–1) = 1}. –1 raised to any odd power will equal –1 {eg (–1) × (–1) × (–1) = -1}. Since, 273 is an odd number, so (-1)273= –1.

Mantra: (-1) raised to an even power is equal to 1 and (-1) raised to odd power is equal to +1 _________________

Re: GMAT Sample Questions and solution tips [#permalink]
01 May 2014, 03:32

Concept tested: Even/Odd numbers Question: If x and y are both odd integers , what is x/y ? a) Odd b) Even c) Can’t be determined

Answer: Can’t be determined

If x is divisible by y , then obviously then x/ y is an odd integer. But it is not given whether x is divisible by y or not. So, we can’t determine it with given information.

Mantra: Check whether outcome of a calculation is an integer or not , before deciding whether it can be even or odd. _________________

Re: GMAT Sample Questions and solution tips [#permalink]
03 May 2014, 01:50

Concept tested: Unit Digit Question: What is the units digit of (28)(34)(57)? a) 3 b) 0 c) 5

Answer: 0

We need not multiply the entire numbers to find the unit digit. Multiplying 2 and 5 , we get 10 (unit digit ‘0’). Hence this number when multiplied by any nymber any number of times will yield ‘0’ as unit digit.

Mantra: When a number with ‘0’ in its unit digit is multiplied with any other number, unit digit will remain same i.e. ‘0’. _________________

Re: GMAT Sample Questions and solution tips [#permalink]
06 May 2014, 05:09

Concept tested: Factoring Question: Simplify 5^3 + 5^4 + 5^3 + 5^4 a) 625 b) 1500 c) 2500

Answer: 1500

5^3 is common in all terms. Factoring out the common term,

5^3 + 5^4 + 5^3 + 5^4 = 5^3 ( 1 + 5 + 1 + 5 ) = 5^3 ( 12 ) =125 *12 = 1500 Mantra: Look out to find the common term and factor it out to simply calculations and save time. _________________