GRE Complete Mock Test

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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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