  ## GMAT GRE - Math - Practice Test - MCQ Set 7

##### 2 men and 5 boys can do a piece of work in 4 days, while 4 men and 4 boys can do it in 3 days. How long would it take one man alone to do it and how many days would it take one boy alone to do it?

Options are :

• One man takes = 18 days and one boy takes = 30 days
• One man takes = 15 days and one boy takes = 36 days
• One man takes = 18 days and one boy takes = 36 days (Correct)
• One man takes = 15 days and one boy takes = 30 days

Answer :One man takes = 18 days and one boy takes = 36 days

##### Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa.

Options are :

• y = 3x (Correct)
• y = -3x
• x = 3y
• not possible

##### Taxi charges consist of fixed charges and the remaining depending upon the distance travelled in kilometers. If a person travels 10 km, he pays Rs. 68 and for travelling 15 km, he pays Rs. 98. Express the above statements with help of simultaneous equations and hence find the fixed charges and the rates /km.

Options are :

• Fixed charges = Rs. 10 and the rate /km = 16
• Fixed charges = Rs. 8 and the rate /km = 10
• Fixed charges = Rs. 8 and the rate /km = 6 (Correct)
• Fixed charges = Rs. 6 and the rate /km = 8

Answer :Fixed charges = Rs. 8 and the rate /km = 6

##### Sunita had to multiply two positive integers. Instead of taking 35 as one of the multipliers, she incorrectly took 53. As a result, the product went up by 540. What is the new product?

Options are :

• 1440
• 1590 (Correct)
• 1050
• 540

##### In how many ways can the letters of the word PERMUTATIONS be arranged if the - Words start with P and end with S

Options are :

• 12!
• 8!
• 10! / 2! (Correct)
• 10!

##### At what rate percent per annum (p.a.) will the simple interest on Rs. 7,500 (INR) be Rs.650 (INR) in 8 months?

Options are :

• Rate 12 % per annum
• Rate 13 % per annum (Correct)
• Rate 12.5 % per annum

Answer :Rate 13 % per annum

Options are :

• 5
• 7
• 6
• 4 (Correct)

Options are :

• 25
• 35 (Correct)
• 55
• 30

##### If the sum of 1 + 2 + 2^2 +……….+ 2^(n-1) is 255, find the value of n.

Options are :

• n = 4
• n = 2
• n = 5
• n = 8 (Correct)

##### Larger image ABCD is a cyclic quadrilateral where Angle A = 4y + 20, B = 3y - 5, C = -4x and D = -7x + 5. Find out Angle A, B, C and D

Options are :

• A = 120, B = 70 , C = 60 and D = 110 (Correct)
• A = 70, B = 60 , C = 120 and D = 110
• A = 60, B = 70 , C = 67 and D = 120
• A = 110, B = 60 , C = 70 and D = 110

Answer :A = 120, B = 70 , C = 60 and D = 110

Options are :

• a - b
• a + b + c
• 1
• 0 (Correct)

##### Ram deposits Rs. P with a bank at r% compound interest and sees it reach Rs.16P in 20 years. If he had invested the same amount at r% simple interest for 20 years, what would be the amount?

Options are :

• Between Rs. 3.5P and 4P (Correct)
• Between Rs. 2.5P and 3P
• Between Rs. 2P and 2.5P
• Between Rs. 3P and 3.5P

Answer :Between Rs. 3.5P and 4P

##### The point P (-2, 4) lies on a circle of radius 6 and centre (3, 5)

Options are :

• Not possible to determine from the given information
• lies inside the circle (Correct)
• Lies on the circle
• Lies outside the circle

Options are :

• B
• D
• A
• C (Correct)

##### Abhishek, Anil and Aashman set out to complete a work. Aashman being the eldest would take 1 day less than Abhishek if he were to complete the work alone. All three together could complete the work in a day. However, Aashman fell ill. Abhishek and Anil began the work in his absence. After a day, Abhishek also fell ill. Anil took 3 more days to finish the work. How much portion of the work Aashman could do in a day?

Options are :

• 1 / 2 (Correct)
• 1 / 6
• 2 / 3
• 1 / 3

##### For some integer q, every odd integer is of the form

Options are :

• q
• 2q
• q + 1
• 2q + 1 (Correct)

##### In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper.

Options are :

• (i) 77 (ii) 52
• (i) 30, (ii) 52
• (i) 52 , (ii) 30 (Correct)
• none of them

Answer :(i) 52 , (ii) 30

Options are :

• d
• b
• a (Correct)
• c

##### A dealer buys a table listed at Rs. 500 (INR) and gets a discount of 28%. He spends Rs. 15 (INR) on transportation and sells it at a gain of 20%. Find the selling price of the table.

Options are :

• Rs. 410 (INR)
• Rs. 450.50 (INR)
• Rs. 450 (INR) (Correct)
• Rs. 400 (INR)

##### Find the next three terms of the sequence: ?5, 5 , 5?5………..

Options are :

• 25, 25?5, 125 (Correct)
• 25, 5?5, 120
• 25, 252 , 253
• none of them

##### The coordinates of one end of a diameter of a circle are (4,-1) and the coordinates of the center of the circle are (1,-3). Find the coordinates of the other end of diameter.

Options are :

• -2, -5 (Correct)
• -5, 4
• -2, 5
• -2, -4

##### Find the centroid of ?ABC , whose vertices are A(-1,0), B(5,-2) and C(8,2).

Options are :

• -4, 0
• 4, -1
• 0, 4
• 4, 0 (Correct)

Options are :

• 90
• 30
• 45 (Correct)
• 60

Options are :

• A
• C (Correct)
• D
• B

##### Larger image Options are :

• 150
• 110
• 80
• 130 (Correct)

Options are :

• 14
• 18
• 10
• 12 (Correct)

Options are :

• 4
• 12
• 8 (Correct)
• 10

##### Find the distance of the point (6, -6) from the origin.

Options are :

• 6
• 6 root 2 (Correct)
• root 6
• 6 root 3

##### The following table shows the frequency distribution of heights of 50 boys: Heights (cm) 120 121 122 123 124 Frequency 5 8 18 10 9  Find the mode of heights.

Options are :

• 122 (Correct)
• 125
• 120
• 121

##### A merchant buys 80 articles, each at Rs. 40. He sells n of them at a profit of n% and the remaining at a profit of (100 – n) %. What is the minimum profit the merchant could have made on this trade?

Options are :

• Rs 2210
• Rs 1580 (Correct)
• Rs 1420
• Rs 2160