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gmat Latest Exam Pattern - gmat Sample Question with Solutions Page 11

(#M40000253) GMAT QUESTION Keep an EYE

If n is an integer greater than 5.3, then n! must be divisible by which of the following numbers?
(A) 7
(B) 11
(C) 12
(D) 13
(E) 14

Solution

factors of 12 are 3 and 4 and for the factorial of any integer greater than 5, 3 and 4 will be present in the number.

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Asked In GMAT neeraj (15 years ago)

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(#M40000252) GMAT QUESTION Keep an EYE

A man spends 75% of his income, when his income is increased by 20%, he increases his expenditure by 10%. By how much per cent are his savings increased

Solution

Let the income of the man = x
then expenditure = 0.75x and savings = 0.25x
now after 20 % increment income = 1.2x and with 10 % increment in the expenditure it will be 0.75x*1.1 = 0.825x
so savings = 1.2x - 0.825x = 0.375x
so new % of savings relative to new income = (0.375x/1.2x)*100
= 0.3125*100 = 31.25 %

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Asked In GMAT neeraj (15 years ago)

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(#M40000251) GMAT QUESTION Keep an EYE

Each of 435 bags contains at least one of the following three items: raisins, almonds, and
peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain
only peanuts. The number of bags that contain only almonds is 20 times the number of bags that
contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the
number of bags that contain only almonds. 210 bags contain almonds. How many bags contain
only one kind of item?
(A) 256
(B) 260
(C) 316
(D) 320
(E) It cannot be determined from the given information.

Asked In GMAT neeraj (15 years ago)

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(#M40000250) GMAT QUESTION Keep an EYE

If n is an integer greater than 0, what is the remainder when 9^12n+3 is divided by 10?
(A) 0
(B) 1
(C) 2
(D) 7
(E) 9

Asked In GMAT neeraj (15 years ago)

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(#M40000249) GMAT QUESTION Keep an EYE

Frances can complete a job in 12 hours, and Joan can complete the same job in 8 hours.
Frances starts the job at 9 a.m., and stops working at 3 p.m. If Joan starts working at 4 p.m. to
complete the job, at what time is the job finished?
(A) 6 p.m.
(B) 7 p.m.
(C) 8 p.m.
(D) 10 p.m.
(E) 12 p.m.

Asked In GMAT neeraj (15 years ago)

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(#M40000248) GMAT QUESTION Keep an EYE

If the range of the set of numbers {150, 90, 125, 110, 170, 155, x, 100, 140} is 95, which of the
following could be x?
(A) 80
(B) 85
(C) 95
(D) 125
(E) 185

Asked In GMAT neeraj (15 years ago)

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(#M40000247) GMAT QUESTION Keep an EYE

A certain club has exactly 5 new members at the end of its first week. Every subsequent
week, each of the previous week's new members (and only these members) brings exactly x new
members into the club. If y is the number of new members brought into the club during the
twelfth week, which of the following could be y?
(A) 3
(B) 6
(C) 4
(D) 8
(E) 5

Asked In GMAT neeraj (15 years ago)

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(#M40000245) GMAT QUESTION Keep an EYE

a, b, and c are positive integers. If a, b, and c are assembled into the six-digit number abcabc,
which one of the following must be a factor of abcabc?
(A) 16
(B) 13
(C) 5
(D) 3
(E) none of the above

Asked In GMAT neeraj (15 years ago)

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(#M40000244) GMAT QUESTION Keep an EYE

a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the
set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is
(7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set
R?
(A) 3/8
(B) 1/2
(C) 11/16
(D) 5/7
(E) 3/4

Asked In GMAT neeraj (15 years ago)

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