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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.
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 number 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’.
that's incorrect something wrong with picking up unit digits, you picked up 10th digits to show answer to unit digit, it should be (28)(34)(57) = 8*4*7 == 32 * 7 == 32 * 7 = 4
Answer is 4
if you multiply (28)(34)(57) == 54254 _________________
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