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GMAT Sample Questions and solution tips [#permalink]
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09 Apr 2014, 04:37
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.



Director
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GMAT Sample Questions and solution tips [#permalink]
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10 Apr 2014, 04:01
Concept tested: Exponents Question: Calculate (1)273
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



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Re: GMAT Sample Questions and solution tips [#permalink]
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11 Apr 2014, 03:22
Concept tested: Exponents and roots Question: ( 7√x)7 = ?
a) x49 b) x c) X1/7 d) 1
Answer: x
( 7√x)7 = ( x1/7) 7= x(1/7)* 7 = x
Mantra: n√x can be written as x1/n



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Re: GMAT Sample Questions and solution tips [#permalink]
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01 May 2014, 04:32
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.



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Re: GMAT Sample Questions and solution tips [#permalink]
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02 May 2014, 04:26
Concept tested: Exponents Question: If xy < 0 , then x is a) < 0 b) >0 c) Can’t be determined
Answer: < 0
If xy < 0 , then irrespective of the value of y , x is also negative.
Case 1 : x=2 , y =3 xy = 23 = 8 > 0 Case 2: x= 2 , y =3 xy = (2)3 = 8 < 0
Mantra: If xy < 0 , x is also negative but it is not true vice versa. i.e if x < 0, then not necessarily xy < 0



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Re: GMAT Sample Questions and solution tips [#permalink]
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03 May 2014, 02:50
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’.



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



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Concentration: General Management, Technology
GMAT Date: 08202014

Re: GMAT Sample Questions and solution tips [#permalink]
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08 May 2014, 02:19
nehasingh1020 wrote: Concept tested: Exponents Question: If xy < 0 , then x is a) < 0 b) >0 c) Can’t be determined
Answer: < 0
If xy < 0 , then irrespective of the value of y , x is also negative.
Case 1 : x=2 , y =3 xy = 23 = 8 > 0 Case 2: x= 2 , y =3 xy = (2)3 = 8 < 0
Mantra: If xy < 0 , x is also negative but it is not true vice versa. i.e if x < 0, then not necessarily xy < 0 The answer should be can't be determined as either x can be negative or y can be negative in which case x is positive. Isnt it?



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Re: GMAT Sample Questions and solution tips [#permalink]
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17 Apr 2015, 17:09
1
This post received KUDOS
Quote: 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 incorrectsomething wrong with picking up unit digits, you picked up 10th digits to show answer to unit digit, it should be (2 8)(3 4)(5 7) = 8*4*7 == 32 * 7 == 3 2 * 7 = 4 Answer is 4if you multiply (28)(34)(57) == 5425 4
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