## GMAT GRE - Math - Practice Test - MCQ Set 9

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Options are :

• Angle XYQ = 122 deg , Reflex of Angle QYP = 302 (Correct)
• Angle XYQ = 126 deg , Reflex of Angle QYP = 126
• Angle XYQ = 122 deg , Reflex of Angle QYP = 58
• Angle XYQ = 210 deg , Reflex of Angle QYP = 64

Answer :Angle XYQ = 122 deg , Reflex of Angle QYP = 302

##### A runs 25% faster than B and is able to allow B a lead of 7 meters to end a race in dead heat. What is the length of the race?

Options are :

• 45 mtrs
• 35 mtrs (Correct)
• 10 mtrs
• 25 mtrs

Options are :

• 70 (Correct)
• 60
• 90
• 80

##### An altitude of a triangle is five-third of the length of its corresponding base. If the altitude is increased by 4 cm and the base is decreased by 2 cm, the area of the triangle remains the same. Find the lengths of the base and the altitude.

Options are :

• base = 20 cm and altitude = 20 cm
• base = 12 cm and altitude = 21 cm
• base = 12 cm and altitude = 20 cm (Correct)
• base = 21 cm and altitude = 22 cm

Answer :base = 12 cm and altitude = 20 cm

##### Given A = 2^65 and B = (2^64 + 2^63 + 2^62 +...+ 20), which of the following is true?

Options are :

• A is larger than B by 1 (Correct)
• A and B are equal
• B is 2^64 larger than A
• B is larger than A by 1

Answer :A is larger than B by 1

##### Minesh, Sunil and Devang travel from Delhi to Mathura to attend Janmashtmi Utsav. They have a bike which can carry only two riders at a time as per traffic rules. Bike can be driven only by Minesh. Mathura is 300 km from Delhi.All of them walk at 15 km/h. All of them start their journey from Delhi simultaneously and are required to reach Mathura at the same time. If the speed of bike is 60km/h, then what is the shortest possible time in which all three can reach Mathura at the same time?

Options are :

• none of these
• 65 / 7 hrs (Correct)
• 10 hrs
• 58 / 7 hrs

Options are :

• 60 (Correct)
• 90
• 75
• 50

Options are :

• 2.2
• 3
• 2 (Correct)
• 2.5

##### In an ice-cream factory, 30% of total Vanilla-flavored ice-cream produced is mixed with 40% of total Banana-flavored ice-cream produced, in a ratio of 1:1. Find the overall percentage of ice-cream produced which is mixed with each other. (Ice-creams of only these 2 flavors are produced in the factory)

Options are :

• 17.14%
• 34.28% (Correct)
• 35%

Options are :

• 60 (Correct)
• 30
• 40
• 50

##### In a practice paper at mathsphy.com, questions were given from 5 topics. Out of the appearing students, 10% passed in all topics while 10% did not pass in any. Of the remaining, 20% passed in one topic only and 25% in two topics only. If 24% of the total students passed 4 topics only and 500 students passed in 3 topics only, find the total number of students who appeared in the examination?

Options are :

• 4545
• 1600
• 2500 (Correct)
• 2000

Options are :

• c (Correct)
• b
• d
• a

##### The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the manager whose salary was Rs. 720, was replaced with a new manager, then the average salary of the team went down to 580. What is the salary of the new manager?

Options are :

• 690
• 570
• 420 (Correct)
• 640

##### Solve for x : 3(x – 1) ? 2(x -3) when x is a real number x will be

Options are :

• less than 3
• none of the above
• (- infinity , -3] (Correct)
• [- infinity , -3)

Options are :

• A (Correct)
• D
• B
• C

##### Seven Cards: the eight, the nine, the ten, jack, queen, king and ace of diamonds are well shuffled. One card is then picked up at random. (i)  What is the probability that the card drawn is the eight or the king? (ii)  If the king is drawn and put aside, what is the probability that the second card picked up is: (1) an ace (2) a king?

Options are :

• P(i) = 2 / 9 and P (1) = 1 / 6 , P(2) = 1
• P (i) = 2 / 7 and P (1) = 1 / 6 , P(2) = 0 (Correct)
• P(i) = 2 / 7 and P(1) = 1 / 5 , P (2) = 1
• None of them

Answer :P (i) = 2 / 7 and P (1) = 1 / 6 , P(2) = 0

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Options are :

• C =30, A = 40
• None of the above (Correct)
• C= 35, A = 60
• C = 40, A = 30

Options are :

• B (Correct)
• D
• C
• A

##### In a Triangle ABC, angle A = x deg, angle B = (3x - 2) deg and angle C = y deg. Also (Angle C - Angle B) = 9 deg. Determine the three angles

Options are :

• A = 25, B = 73, C= 80
• A = 20, B = 73, C= 80
• A = 20, B = 74, C= 82
• A = 25, B = 73, C= 82 (Correct)

Answer :A = 25, B = 73, C= 82

Options are :

• b
• c (Correct)
• d
• a

##### Larger image

Options are :

• root 37
• 8
• root 11
• root 73 (Correct)

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Options are :

• X = 50 deg, Y = 130 Deg.
• X = 130 deg, Y = 50 Deg.
• X = 50 deg, Y = 50 Deg.
• X = 130 deg, Y = 130 Deg. (Correct)

Answer :X = 130 deg, Y = 130 Deg.

##### The average temperature on Wednesday, Thursday and Friday was 25 deg. The average temperature on Thursday, Friday and Saturday was 24 deg. If the temperature on Saturday was 27 deg, what was the temperature on Wednesday?

Options are :

• 21 deg
• 27 deg
• 30 deg (Correct)
• 24 deg

Options are :

• 60
• 70
• 75
• 76 (Correct)

Options are :

• d
• a
• c
• b (Correct)

##### Two diagonals of a parallelogram intersect each other at coordinates (17.5, 23.5). Two adjacent points of the parallelogram are (5.5, 7.5) and (13.5, 16). Find the lengths of the diagonals.

Options are :

• 15, 40
• 15, 30
• 17, 40 (Correct)
• many solutions are possible

##### The following table gives the ages of 50 students of a class. Find the Arithmetic Mean of their ages. Age (in years) 16-18 18-20 20-22 22-24 24-26 No. of students 2 7 21 17 3

Options are :

• 21.39
• 21
• 21.48 (Correct)
• 18

Options are :

• a (Correct)
• d
• c
• b

Options are :

• 140
• 40
• 20 (Correct)
• 60

##### Solve : 4x + 6 / y =15              6x - 8 / y =14. Hence, find “?” if y = ?x - 2

Options are :

• ? = 4
• ? = 0
• ? = 4/2
• ? = 4/3 (Correct)