GRE QUANTITATIVE ARITHMETIC PROBLEMS

1. GRE ARITHMETIC II
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2. What is the 6th element in the sequence 5, 12, 26, 54,--------
a)150 b)75 c)83 d)207 e) 222
12= 2(5)+ 2 26= 12(2)+2 54=26(2)+2
5th term = 2(54)+2=110
6th term = 2(110)+2=222 Ans = e
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3. What % of the 1st 10 integers in the series -1, 8, -27, 64, ------
is < 500
23
= 8, 33
= 27, 43
= 64, 53
= 125, 63
= 216, 73
= 343,
83
= 512 > 500
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4. The 1st 7 values are < 500
Also, the numbers are alternately positive and negative.
−93 < 500
8 values are < 500
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5. % =
8
10
× 100% = 80%
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6. Which of the following integers is divisible by 12
a) 1441. b)1652. c)1728. d) 2049. e) 2886
A number is divisible by 12 if it is both divisible by 3 and 4
1441 is not divisible by 4
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7. A number is divisible by 3 if the sum of its digits is divisible by 3
1652 is not divisible by 3
1728 is divisible by both 3 and 4
2049 is not divisible by 4
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8. 2886 is not divisible by 4
Answer = c
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9. If n is a natural no. what is the remainder when
23 ∗ 35 ∗ 57 ∗ 79 ^𝑛 Is divided by 2
Each of these numbers is odd.
Product of odd nos is odd
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10. Odd no ^ natural no is odd
When an odd no is divided by 2, the remainder is 1
Ans = 1
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