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GRE Complete Mock test. We covered all the GRE Complete Mock test in this post for free so that you can practice well for the exam.
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GRE Complete FREE Mock test for Students
Find the sum of the first 24 natural numbers.
a) 300
b) 240
c) 360
d) 380
e) 420
Option a – 300
Find the sum of the squares of all numbers between 40 and 50.
a) 18205
b) 12825
c) 18285
d) 18855
e) 18825
Option c – 18285
Find the sum of the cubes of natural numbers from 11 to 20.
a) 40015
b) 41150
c) 41175
d) 47115
e) 45771
Option c – 41175
Two arithmetic progressions are given: A = (17, 21, 25, …) and B = (16, 21, 26, …). Find the sum of the first 10 terms common to both.
a) 1110
b) 1100
c) 1010
d) 1011
e) 10100
Option a – 1110
The first three terms of a geometric progression are x + 1, x − 3, and x − 1. Find the value of x.
a) 5/2
b) 3/5
c) 5/4
d) 5/3
e) 2/3
Option d – 5/3
Find the sum of the cubes of natural numbers whose cube values lie between 1000 and 4000.
a) 11370
b) 11375
c) 11753
d) 11573
e) 11575
Option b – 11375
The sum of any sequence of consecutive odd numbers starting from 1 is always:
a) Odd
b) Even
c) Integer
d) Perfect square
e) Rational number
Option b – Even
A square ABCD has a side length of 2 meters. Another square EFGH is formed by joining the midpoints of ABCD, and the process is repeated infinitely. Find the sum of the areas of all such squares.
a) 8
b) 9
c) 12
d) 24
e) 32
Option a – 8
If the sequence 4, 9, 14, … is an arithmetic progression, find the sum of its first 8 terms.
a) 162
b) 164
c) 168
d) 172
e) 180
Option d – 172
Find the ratio of the arithmetic mean, geometric mean, and harmonic mean for the numbers 16 and 64.
a) 5 : 4 : 2
b) 3 : 4 : 3.2
c) 5 : 3 : 4
d) 5 : 4 : 3.2
e) None of these
Option d – 5 : 4 : 3.2
Establish the relationship between AM, GM, and HM for the numbers 32 and 32.
a) A > G = H
b) AG > H
c) A > G > H
d) A = G = H
e) None of these
Option c – A > G > H
Find the difference between K and M if (18, K, 72) forms an AP and (24, M, 144) forms a GP.
a) 10
b) 15
c) 18
d) 24
e) 32
Option b – 15
Find the sum of all natural numbers less than 145 but greater than 127.
a) 2312
b) 2302
c) 2032
d) 2123
e) 2321
Option a – 2312
Find the sum of the squares of all natural numbers whose squares are less than 400.
a) 247
b) 2740
c) 2490
d) 2470
e) 2746
Option d – 2470
In a GP, the numbers 48, K, M, 1296 are consecutive terms. Find the values of K and M.
a) 432
b) 216
c) 108
d) 864
e) None of these
Option a – 432
If 2/3, 2/5, 2/7, … are in harmonic progression, find the 6th term of the HP.
a) 1/12
b) 2/11
c) 3/10
d) 2/13
e) None of these
Option d – 2/13
Given that 3/11, 3/14, and 3/17 are terms of an HP, find the sum of 9 terms in this sequence.
a) 2/23
b) 1/69
c) 3/92
d) 4/115
e) None of these
Option b – 1/69
If the harmonic mean and geometric mean of two positive numbers a and b are in the ratio 4 : 5, find an equation involving a and b.
a) 1
b) 2
c) 0
d) 8
e) 11
Option c – 0
The arithmetic mean and harmonic mean of two numbers are 27 and 12, respectively. Find their geometric mean.
a) 12
b) 9
c) 18
d) 24
e) 30
Option c – 18
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