  ## GMAT GRE - Math - Practice Test - MCQ Set 5

##### Namita buys goods worth Rs. 7,000 (INR). She gets a rebate of 5% on it. After getting the rebate, a sales [email protected] 7% is levied. Find the amount she will pay for the purchase of goods.

Options are :

• 7,115.50 (INR) (Correct)
• 7,105.00
• 7,000.00
• 6,650.00

##### If a, b, c are in continued proportion and a (b - c) = 2b , then a - c will be equal to

Options are :

• 2 a/ b
• 2 (a + b) / a (Correct)
• 2 (a - b)/ a
• none of them

Answer :2 (a + b) / a

Options are :

• B (Correct)
• D
• C
• A

##### Larger image Options are :

• 115 (Correct)
• 50
• 120
• 160

##### Find the sum of all the terms, If the first 3 terms among 4 positive integers are in A.P and the last 3 terms are in G.P. Moreover the difference between the first and last term is 40.

Options are :

• 108
• 124
• 172 (Correct)
• 196

##### In a regiment, the ratio of the number of officers to the number of soldiers was 3 : 31 before battle. In the battle 6 officers and 22 soldiers were killed. The ratio between the number of officers and the numbers of soldiers now is 1 : 13. Find the number of officers and soldiers in the regiment, before the battle.

Options are :

• Number of officers = 23 and number of soldiers = 215
• Number of officers = 21 and number of soldiers = 215
• Number of officers = 23 and number of soldiers = 217
• Number of officers = 21 and number of soldiers = 217 (Correct)

Answer :Number of officers = 21 and number of soldiers = 217

Options are :

• D (Correct)
• A
• C
• B

##### Krishna borrows Rs. 45K from a bank at 10% compound interest. He repays it in three annual installments that are in arithmetic progression. He ends up paying 54K totally. How much did he pay in year 1?

Options are :

• Rs 19,500 (Correct)
• Rs 18,000
• Rs 21,500
• Rs 16,500

##### N is a 3-digit number that is a multiple of 7; what is the probability that it will be a multiple of 5?

Options are :

• 13 / 64 (Correct)
• 1 / 5
• 13 / 66
• 11 / 54

##### Out of 940 km journey, a part was made by a motorcar at a speed of 72 km/h. The remaining journey was made by train at a speed of 84 km/h. if the total distance was covered in 12 hours, find the distance (D) travelled by the train and the time (t) by it to cover that distance.

Options are :

• D = 532 km and t = 6 hrs 20 minutes (Correct)
• D = 530 km and t = 6 hrs 30 minutes
• D = 500 km and t = 6 hrs 20 minutes
• D = 532 km and t = 6 hrs

Answer :D = 532 km and t = 6 hrs 20 minutes

##### 40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together?

Options are :

• 415
• 405
• 408 (Correct)
• 390

Options are :

• root 50
• 8 (Correct)
• root 37
• 6

Options are :

• A
• D (Correct)
• B
• C

##### The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2:3. Determine the fraction.

Options are :

• 5/9 (Correct)
• 5/8
• 4/9
• 5/4

##### In a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy?

Options are :

• 5 / 7
• 4 / 9
• 4 / 7 (Correct)
• 2 / 7

Options are :

• b
• a
• c (Correct)
• d

##### Abscissa of a point is positive in

Options are :

• i and iv quadrants (Correct)

Options are :

• a
• b
• c (Correct)
• d

Options are :

• 10 (Correct)
• 12
• 9
• 20

##### The monthly incomes of A and B are in the ratio 9 : 7 and their monthly expenditures are in the ratio of 4 : 3. If each Rs. 1,600 per month, find the monthly income of each.

Options are :

• Income of A = Rs. 11400 and B = Rs. 11200
• Income of A = Rs. 14400 and B = Rs. 12200
• Income of A = Rs. 1400 and B = Rs. 1200
• Income of A = Rs. 14400 and B = Rs. 11200 (Correct)

Answer :Income of A = Rs. 14400 and B = Rs. 11200

Options are :

• c (Correct)
• d
• b
• a

##### If A and B work together, they will complete a job in 7.5 days. However, if A works alone and completes half the job and then B takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will B alone take to do the job if A is more efficient than B?

Options are :

• 40 days
• 36 days
• 30 days (Correct)
• 20 days

##### Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.

Options are :

• 12 min
• 25 min
• 60 min
• 40 min (Correct)

Options are :

• B (Correct)
• C
• D
• A

##### In a school, students thought of planting trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be the same as the class, in which they are studying, e.g., a section of class I will plant 1 tree, a section of class II will plant 2 trees and so on till class XII. There are three sections of each class. How many trees will be planted by the students? (ref 105317)

Options are :

• 237
• 234 (Correct)
• 236
• 235

##### Tanu ran to the top of a steep hill at an average pace of 6 miles per hour. She took the exact same trail back down. To her relief, the descent was much faster; her average speed rose to 14 miles per hour. If the entire run took Tanu exactly one hour to complete and she did not make any stops, how many miles is the trail one way?

Options are :

• 5 miles
• 4.2 miles (Correct)
• 4 miles
• 8.4 miles

##### On a morning walk, three persons step off together and their steps measure 40cm, 42cm and 45cm, respectively. What is the minimum distance each should walk, so that each cover the same distance in complete steps?

Options are :

• 2515
• 1250
• 5125
• 2520 (Correct)

##### Find the area of the triangle whose vertices are (-6,  -2), (-4,  -6), (-2, 5).

Options are :

• 36 sq units
• 18 sq units
• 30 sq units
• 15 sq units (Correct)

Options are :

• c (Correct)
• a
• d
• b

Options are :

• 60
• 40
• 30 (Correct)
• 50