## GMAT GRE - Math - Practice Test - MCQ Set 4

##### Find the area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of this area of the given triangle.

Options are :

• 1 sq unit. and 1 : 14 (Correct)
• 1 sq unit. and 1 : 1
• 4 sq unit. and 1 : 4
• 1 sq unit. and 4 : 1

Answer :1 sq unit. and 1 : 14

##### Find the sum of the odd numbers between 0 and 50. (ref 105314)

Options are :

• 725
• 625 (Correct)
• 525
• 825

##### Larger image

Options are :

• a = 9 / 2 and b = 1 / 2 (Correct)
• a = 1 / 2 and b = 9 / 2
• a = 2 and b = 9
• a = 2 / 9 and b = 2

Answer :a = 9 / 2 and b = 1 / 2

Options are :

• 6 (Correct)
• 9
• 8
• 10

##### Tensile strength of a material A is a multiple of amount of materials a, b, c, d used. If the amount of material of a, b, c, d are changed by +30%, -30%, -25%, +25% respectively, what will be the overall change in tensile strength of A?

Options are :

• Depends on the initial amount of a, b, c, d
• No Change
• -14.68% (Correct)
• +14.68%

Options are :

• a
• b
• c (Correct)
• d

##### If M is a positive integer such that average of 31, 33, M, 36. 37 lies b/w 40 and 43 (both inclusive). What is the number of possible values of M?

Options are :

• 20
• 16 (Correct)
• 24
• No such M exist

##### Larger image

Options are :

• 305
• 280 (Correct)
• 335
• 80

##### A circle with diameter 20 cm is drawn somewhere on a rectangular piece of paper with length 40 cm and width 30 cm. This paper is kept horizontal on a table top and a die, very small in size, is dropped on the rectangular paper without seeing towards it. If the die falls and lands on the paper only, find the probability that it will fall and land: (i) inside the circle (ii) outside the circle.

Options are :

• P (i) = 11 / 42 and P (ii) = 31 / 42 (Correct)
• P (i) = P (ii) = 11 / 42
• P (i) = 10 / 41 and P (ii) = 30 / 41
• P (i) = 11 / 42 and P (ii) = 33 / 42

Answer :P (i) = 11 / 42 and P (ii) = 31 / 42

Options are :

• 81 (Correct)
• 83
• 80
• 54

Options are :

• a
• b
• d
• c (Correct)

##### The average wages of a worker during a fortnight comprising 15 consecutive working days was \$90 per day. During the first 7 days, his average wages was \$87 per day and the average wages during the last 7 days was \$92 per day. What was his wage on the 8th day?

Options are :

• 97 USD (Correct)
• 92 USD
• 90 USD
• 83 USD

Options are :

• 2 (Correct)
• none of them
• 3
• 1

Options are :

• a
• c (Correct)
• b
• d

Options are :

• b
• a (Correct)
• d
• c

##### Ajay, Sanjay and Pramod go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations. After breakfast, each of them boards a different tourist vehicle from the nearest bus-depot. After three hours, Sanjay who had gone to a famous beach, calls on the mobile of Pramod and claims that he has observed a shark in the waters. Pramod learns from the local guide that at that time of the year, only eight sea-creatures (including a shark) are observable and the probability of observing any creature is equal. However, Ajay and Pramod later recall during their discussion that Sanjay has a reputation for not telling the truth five out of six times. What is the probability that Sanjay actually observed a shark in the waters?

Options are :

• 1 / 30
• 5 / 36
• 1 / 36 (Correct)
• 1 / 24

##### Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6m each, what is the distance between Reshma and Mandip?

Options are :

• 10.6
• 9.6 (Correct)
• 12.6
• 15.6

Options are :

• c
• b
• a
• d (Correct)

Options are :

• D (Correct)
• B
• A
• C

Options are :

• d (Correct)
• c
• b
• a

##### If one angle of a triangle is equal to the sum of the other two, what type triangle this:

Options are :

• Isosceles
• Right (Correct)
• Equilateral
• Scalene

Options are :

• c
• b
• a
• d (Correct)

##### If the centre of a circle is (2a, a - 7) , then find the values of a, if the circle passes through the point (11, -9) and has diameter 10?2 units.

Options are :

• a = 5, 2
• a = 5, -2
• a = 5, -3
• a = 5, 3 (Correct)

Options are :

• 1
• 0
• 3
• 2 (Correct)

##### One pipe can fill a cistern in 3 hrs less than the other. The two pipes together can fill the cistern in 6 hrs 40 minutes. Find the time that each pipe will take to fill the cistern?

Options are :

• First pipe takes = 15 hrs and second takes = 18 hrs
• First pipe takes = 10 hrs and second takes = 12 hrs
• First pipe takes = 15 hrs and second takes = 12 hrs (Correct)
• First pipe takes = 12 hrs and second takes = 15 hrs

Answer :First pipe takes = 15 hrs and second takes = 12 hrs

##### Find two numbers such that the mean proportional between them is 14 and third proportional to them is 112.

Options are :

• Numbers = 6 , 24
• Numbers = 7 , 280
• Numbers = 7 , 28 (Correct)
• not possible

Answer :Numbers = 7 , 28

##### A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day, etc., the penalty for each succeeding day being Rs. 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days. (ref 105315)

Options are :

• 30750
• 29750
• 27750 (Correct)
• 25550

##### A mining team made a plan to mine up to 300 m in a certain number of days. After working as per plan for 5 days, they added new members to the team and hence could mine 5 m more per day. In this way, 4 days before the planned date, they had mined 295 m. How many meters of mining was initially planned for each day?

Options are :

• 30 m
• 12.5 m
• 7.5 m
• 15 m (Correct)

Options are :

• d
• a
• c
• b (Correct)

##### Larger image

Options are :

• yes (Correct)
• insufficient information
• Angle PSR = Angle PRQ + Angle RPS
• no