   ## GMAT GRE - Math - Practice Test - MCQ Set 3

Options are :

• 63
• 34 (Correct)
• 8
• 2

Options are :

• d (Correct)
• a
• b
• c

##### The product of any two irrational numbers is

Options are :

• always a rational number
• sometimes rational, sometime irrational (Correct)
• always an integer
• always an irrational number

##### Offices in Delhi are open for five days in a week (Mon to Fri). Two employees of an office remain absent for one day in the same particular week. Find the probability that they remain absent on: (i) consecutive day (ii) different days.

Options are :

• P (i) = 4 / 25 and P (ii) = 4 / 5
• none of them
• P (i) = 8 / 25 and P (ii) = 4 / 5 (Correct)
• P (i) = 4 / 5 and P (ii) = 8 / 5

Answer :P (i) = 8 / 25 and P (ii) = 4 / 5

##### Jenifer thought of a two-digit number and divided the number by the sum of the digits of the number. she found that the remainder is 3. Clay also thought of a two-digit number and divided the number by the sum of the digits of the number. He also found that the remainder is 3. Find the probability that the two digit number thought by Jenifer and Clay is TRUE?

Options are :

• 1 / 13
• 1 / 12
• 1 / 14 (Correct)
• 1 / 15

##### A bag contains six white marbles and five red marbles. Find the number of ways in which four marbles can be drawn from the bag if - Two must be white and two red and

Options are :

• 150 (Correct)
• 5c2
• 198
• 6c2

Options are :

• D
• A
• C
• B (Correct)

##### The cost of a machine is Rs. 32,000 (INR). Its value depreciates at the rate of 5% every year. Find the total depreciation in its value by the end of 2 years.

Options are :

• 1,600
• 3,120 (Correct)
• 3,000
• 1,520

Options are :

• c
• a (Correct)
• b
• d

##### Find the length of medians of ?ABC whose vertices are A (-1, 3), B (1,1 ) and C (5, 1).

Options are :

• 5, root 10, root 5
• 5, root 10, 5 (Correct)
• 10, 5, root 10
• 5, root 10, 10

Options are :

• 60
• 90 (Correct)
• 80
• 120

##### A and B are friends. Ignoring the leap year, find the probability that both friends will have: (i) different birthdays? (ii)  the same birthdays?

Options are :

• not possible
• P (i) = 360 / 365 and P (ii) = 364 / 365
• P (i) = 364 / 365 and P (ii) = 1 / 365 (Correct)
• P (i) = P (ii) = 364 / 365

Answer :P (i) = 364 / 365 and P (ii) = 1 / 365

Options are :

• 18
• 17
• 15
• 16 (Correct)

Options are :

• a
• b
• d
• c (Correct)

##### Akash and Brijesh stand at distinct points of a circular race track of length 120m. They run at speeds of �a� m/s and �b� m/s respectively. They meet for the first time 16 seconds after they start the race and for the second time 40 seconds from the time they start the race. Now, if Brijesh had started in the opposite direction to the one he had originally started, they would have meet for the first time after 40 seconds. If Brijesh is quicker than Akash, find Brijesh�s speed.

Options are :

• 3 m / s
• 4 m / s
• 84 m / s
• 5 m / s (Correct)

##### If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation

Options are :

• Changes
• Changes in case of multiplication only
• Remains the same (Correct)
• Changes in case of division only

Options are :

• 20 (Correct)
• 35
• 30
• 40

Options are :

• 4b
• 6a
• 4d

##### Larger image Options are :

• 150
• 20
• 110 (Correct)
• 130

##### Sohan had a great job in India but he went abroad to earn more money. He realized he had to make at least USD 6000/month in order to justify his foreign trip. He recorded an average of USD 5,500/ month for the first 11 months. What should be his earning on the last month in order for his foreign visit to make sense?

Options are :

• 9,500
• 11,000
• 10,500
• 11,500 (Correct)

Options are :

• 100
• 65 (Correct)
• 90
• 130

##### Ramesh choose a date at random in January for a party (see the following figure).                                                                                                                        JANUARY Monday 6 13 20 27 Tuesday 7 14 21 28 Wednesday 1 8 15 22 29 Thursday 2 9 16 23 30 Friday 3 10 17 24 31 Saturday 4 11 18 25 Sunday 5 12 19 26 Find the probability that he chooses: (i) A Wednesday (ii) A Tuesday or a Saturday

Options are :

• p (i) = 4 / 31 and p (ii) = 8 / 31
• p (i) = 5 / 31 and p (ii) = 4 / 31
• p (i) = 5 / 31 and p (ii) = 8 / 31 (Correct)
• none of them

Answer :p (i) = 5 / 31 and p (ii) = 8 / 31

##### Second term of a geometric progression is 6 and its fifth term is 9 times of its third term. Find the G.P. consider that each term of G.P. is positive.

Options are :

• G.P. = 2, 4, 8, 16, ���.
• G.P. = 2, 6, 18, 54, ���� (Correct)
• G.P. = 4, 16, 24, 64, ��..
• G.P. = 2, 8, 16, 48, ���.

Answer :G.P. = 2, 6, 18, 54, ����

##### There are some lotus flowers in a lake. If one butterfly sits on each flower, one butterfly is left. If two butterflies sit on each flower, one flower is left. What is the number of flowers and butterflies?

Options are :

• No. of flowers = 4 and no. of butterflies = 3
• No. of flowers = 3 and no. of butterflies = 4 (Correct)
• No. of flowers = 3 and no. of butterflies = 3

Answer :No. of flowers = 3 and no. of butterflies = 4

##### Larger image Options are :

• 90
• 100
• 120
• 180 (Correct)

##### Find the 20th term from the last term of the A.P. 3, 8, 13, �, 253. (Ref 105217)

Options are :

• 153
• 161
• 150
• 158 (Correct)

Options are :

• C
• B
• A
• D (Correct)

Options are :

• a
• b (Correct)
• c
• d

##### From a point P, on the surface of radius 3 cm, two cockroaches A and B started moving along two different circular paths, each having the maximum possible radius, on the surface of the sphere, that lie in the two different planes which are inclined at an angle of 45 degree to each other. If A and B takes 18 sec and 6 sec respectively, to complete one revolution along their respective circular paths, then after how much time will they meet again, after they start from P?

Options are :

• 27 sec
• 9 sec (Correct)
• 18 sec
• 24 sec

##### By selling 45 oranges for Rs. 160 (INR), a man loses 20%. How many oranges should he sell for Rs. 112 (INR) to gain 20% on the whole?

Options are :

• Oranges= 21 (Correct)
• None of them
• Oranges= 22
• Oranges= 20