Learn some practice tips & strategies from our experts on how to crack GMAT Quant! Shortcuts, success formulas & Math mantras- all to take you a step ahead of the GMAT competition!
3. Properties of every GMAT question
• Solvable within 2 minutes
• Tests specific abilities
• Math Camouflage
• Extremes are always tested
4. Let us see a question:
If abc = bcd, is a = d?
(1) b = c
(2) bc>0
Always try to get what the question is trying to test!
5. „x‟ is an integer and „a‟ is an even integer. Is x an odd integer?
(1) Xa is an odd integer
(2) |a|a > a
Every question has a skeleton and things are coated !
6. A square of side with 10 units has one of its vertex at origin.
If all the coordinates of the square are integers, then how
many such squares are possible?
1) 4
2) 8
3) 10
4) 12
5) 15
Never go for the obvious answer!
7. With the GMAT its never the usual
What is the value of x?
(1)3x = 2y + 21
(2)3y = 4.5x – 31.5
8. For a school fundraiser, a class of nine students sold bags of
popcorn for $1.00 each bag. They sold a total of 45 $ worth
of bags in total. If no two students sold the same number of
bags, how many students did not record a sale?
(1) The highest total recorded by one student was 9 $
(2) The lowest total recorded by one student was 1 $
With the GMAT its never the usual!
12. If p < q, p < r and p, q and r are integers ,
is (p)(q)(r) < p?
(1) pq < 0
(2) pr < 0
Every word has a purpose!
13. Start learning from question types:
If p < q, p < r, is (p)(q)(r) < p?
(1) pq < 0
(2) pr < 0
14. What is the value of y?
(1) 3|x 2 – 4| = y - 2
(2) |3 – y| = 11
15. What is the value of |x|?
(1) |x 2 + 16| - 5 = 27
(2) x 2 = 8x - 16
16. Question maker drops hints
„x‟ is a non negative integer such that 12x is a factor of
17281212. Which of the following can be equal to xy – yx ?
A) 1
B) -1
C) 0
D) 12
E) 144
17. „a‟ and „b‟ are positive integers and If a + b is divisible by
3, is „a‟ divisible by 3?
(1) a + 2b is divisible by 3
(2) 2a + b is divisible by 3
18. For non-negative integers x, y and m, what is
the greatest value of m for which xm is a
factor of y! ?
(1) y = x – 1
(2) x is a prime number
19. Some points that help!
Average of numbers in arithmetic progression!
20. What is the median of a set of consecutive numbers?
1) The average of all the numbers is 12
2) There are 4 numbers in the list
21. What is the mean of a set of seven consecutive numbers?
1) The average of first three is 13
2) The average of last three is 17
22. If S is a finite set of consecutive even numbers, is the
median of S an odd number?
(1) The mean of set S is an even number.
(2) The range of set S is divisible by 4.
27. Confusing Questions
One pound of banana costs 1 $. A
banana pie requires 3 cups of dried
banana. When dried banana loses its
one fifth of weight. Two cups of dried
banana make up one pound of dried
banana. If David makes „x‟ pies, then
what will be the cost in terms of x?
Don’t tell anyone!
28. Keep Pace with Numbers
If a and b are integers and a/b and a – b are even integers
then which of the following must be an odd integer:
(a/2)
(b/2)
(a + b)/2
(a + 2)/2
(b + 2)/2
Don’t tell anyone!
29. Summing Up
Always try to get what the question is trying to test
Every question has a skeleton and things are coated
Never go for the obvious answer
With the GMAT its never the usual
Every word has a purpose
Question maker drops hints
Play with Numbers
31. What is the value of N?
(1) N! ends with 28 zeroes
(2) (N+2)! ends with 31 zeroes and (N-1)! ends with 28 zeroes
What is the value of the two-digit positive integer n?
(1) When n is divided by 5, the remainder is equal to the tens
digit of n.
(2) When n is divided by 9, the remainder is equal to the tens
digit of n.
32. Is positive integer n – 1 a multiple of 3?
(1) n3 – n is a multiple of 3
(2) n3 + 2n2+ n is a multiple of 3
34. If x is a positive integer greater than 1, is x! + x + 1 a prime
number?
(1) x < 10
(2) x is odd
35. If x, y, and z are integers greater than 1, and (327)(3510)(z)
= (58)(710)(914)(xy), then what is the value of x?
(1) z is prime
(2) x is prime
36. If x is a positive integer, what is the units digit of 3x?
(1) x = 10k2 + 1, where k is a positive integer.
(2) The units digit of x2 is 1.
37. If x and y are non-zero integers and |x| + |y| = 32, what is xy?
(1) -4x – 12y = 0
(2) |x| – |y| = 16
38. In a room filled with 7 people, 4 people have exactly 1 sibling in
the room and 3 people have exactly 2 siblings in the
room. If two individuals are selected from the room at random,
what is the probability that those two individuals are
NOT siblings?
5/21
3/7
4/7
5/7
16/21
39. Machines A and B each produce tablets at their respective constant
rates. Machine A has produced 30 tablets when Machine B is turned
on. Both machines continue to run until Machine B‟s total production
catches up to Machine A‟s total production. How many tablets does
Machine A produce in the time that it takes Machine B to catch up?
(1) Machine A‟s rate is twice the difference between the rates of the
two machines.
(2) The sum of Machine A‟s rate and Machine B‟s rate is five times
the difference between the two rates.
40. x is the sum of y consecutive integers. w is the sum
of z consecutive integers. If y = 2z, and y and z are both
positive integers, then each of the following could be true
EXCEPT
x = w
x > w
x/y is an integer
w/z is an integer
x/z is an integer
41. Six mobsters have arrived at the theater for the premiere of
the film “Goodbuddies.” One of the mobsters, Frankie, is an
informer, and he's afraid that another member of his crew,
Joey, is on to him. Frankie, wanting to keep Joey in his sights,
insists upon standing behind Joey in line at the concession
stand, though not necessarily right behind him. How many
ways can the six arrange themselves in line such that
Frankie‟s requirement is satisfied?
6 24 120 360 720
42. The Carson family will purchase three used cars. There are
two models of cars available, Model A and Model B, each of
which is available in four colors: blue, black, red, and green.
How many different combinations of three cars can the
Carsons select if all the cars are to be different colors?
24 32 48 60 192
43. If line L in the xy-coordinate plane has a positive slope, what
is the x-intercept of L ?
(1) There are different points (a, b) and (c, d) on line L such
that ad = bc.
(2) There are constants m and n such that the points (m, n)
and (–m, –n) are both on line L.
44. Leila is playing a carnival game in which she is given 4
chances to throw a ball through a hoop. If her chance of
success on each throw is 1/5, what is the chance that she will
succeed on at least 3 of the throws?