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GRE Quantitative Problem Solving Medium Level Exercise 01


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Q.1.
Column A
7 + 2√3√5
  Column B
7

A > B then answer is A
B > A then answer is B
A = B then answer is C
If Question is non relevant then answer is D

Q.2. p and q are positive

Column A
Average of p and q
  Column B
Average of p3 and q3

A > B then answer is A
B > A then answer is B
A = B then answer is C
If Question is non relevant then answer is D

Q.3.
Column A
0.05
 Column B
√0.025

A > B then answer is A
B > A then answer is B
A = B then answer is C
If Question is non relevant then answer is D

Q.4. For equation mp/mq = m10 and (mq)3 = mp, if m > 1 what is the value of p ?


14
15
16
17

Q.5. If m > 0, which of the following is equivalent to √m3 ?
(i)    m + m1/2   (ii)    (m1/2)3   (iii)    (m2)(m-1/2)


None
I and II only
I and III only
II and III only
 I,II and III

Q.6. If √5 = m - 2 then what is the value of (m - 2)2 ?


3
4
5
6
7

Q.7.

The circle above with centre O has an area of 24. PM is tangent to the circle with origin O at point P. If OM = 2OP what is the area of shaded region ?


10
20
30
40
50

Q.8. If m + 2n = 20 and n - m = 5 then what is the value of n ?


5
10
15
20
25

Q.9. If the average of 5 numbers is 10, and the average of 2 of these numbers is 7, what is the average of other three numbers ?


6
7
12
15
20

Q.10. Which of the following are prime factors of 40 ?


1
2
3
4
5

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