GAT-B Arts, Humanities & Social Science Quantitative

If x/9 = 2/3, then x =

• 8/3 A
• 6 B
• 3 C
• 27/2 D

The average number of goals a team has scored in 7 matches is 8. They averaged 10 goals for the first 3 matches and they scored 5 goals in each of the next tow matches. What is the average score of the last two matches ?

• 5 goals A
• 4 goals B
• 6 goals C
• 8 goals D

• 
  A
• 
  B
• 
  C
• 
  D

Direction:In the following type of question,each consists of two quantities,one in column A and one in column B.You must compare two quantities and on the answer sheet fill in.

A.If the quantity in column A is greater.

B.If the quantity in column B is greater.

C.If the two quantities are equal.

D.If the relationship cannot be determined from the information given.

Notes:Sometimes,in certain question,information concerning one or both the quantities to be compared is centered above the two columns.A symbol that in both columns represents the same thing in column A as it does in column B.

Column A

The average of the old integers from 1 to 100.

Column B

The average of the even integers from 1 to 100.

• A A
• B B
• C C
• D D

Sonia buys two off-cuts of ribbon in a sale. One is 153 cm long. The other is 204 cm long. She cuts them so that she ends up with a number of pieces all the same length. What is the greatest length each piece can be ?

• 39 A
• 6 B
• 17 C
• 51 D

• 100^o A
• 60^o B
• 30^o C
• 110^o D

Health club membership has increased dramatically over the last five years. In order to take advantage of this increase, Fitness Express plans to open more of the same types of classes available during the week, while continuing its already very extensive advertising in newspapers and on the radio.

Q: Which of the following if true, provides most support for the view that Fitness Express cannot increase membership on its gyms by adopting the plan outlined above?

• Although it fills of the classes it opens, Fitness Express's share of all health club memberships has declined over the last five years A
• Fitness Express number of classes offered to their clients has declined slightly over the last year B
• Advertising has made the name of Fitness Express widely known, but few customers know that Fitness Express health clubs also off acupuncture and shiatsu treatments C
• Despite a slight decline in membership price, sales of Fitness Express memberships have fallen in the last five years D

A solid metal cube of side 5 inches is placed in a rectangular tank whose length, breadth and height are 5, 6 and 7 inches, respectively. What is the volume in cubic units, of water that the tank can now held ?

• 210 cubic inches A
• 85 cubic inches B
• 125 cubic inches C
• 216 cubic inches D

The area of an equilateral triangle whose altitude is 10, is:

• 8√3 A
• 2√3 B
• 96√3 C
• 4√3 D

Out of the 44 boys in a class, 9 are of the age of 10, 15 at the age of 9, and the rest are at the age of 5. Find the average age of the entire class.

• 7.85 A
• 8.75 B
• 12.2 C
• 14.35 D

If 1/x +1/y = 1/z and xy = z, what is the average of x and y ?

• 1/2 A
• 1 B
• x + y + z/3 C
• x + y + z/2 D

If a > 0, b > 0 and a - b < 0, then ?

• a < b A
• a + b <0 B
• a > b C
• b - a < 0 D

Fatima and Maryium each roll a sheet of 9 × 18 paper to form a cylinder. Fatima tapes the two 9-inch edge together and Maryium tapes the two 18-inch edge together. Refer to this question and tell which of the following statement is true ?

• The volume of Fatima cylinder is greater than Maryium cylinder A
• The volume of Fatima cylinder is less than Maryium cylinder B
• The volume of Fatima cylinder is equal to the Maryium cylinder C
• Both cylinders have the same circumference D

• 80 A
• 110 B
• 100 C
• 95 D

The death rates for three diseases are

Disease R 2 people out of 10,000

Disease S 13 people out of 1,000,000

Disease T 9 people out of 100,000

What is the combined death rate for the three diseases?

• 123 out of 1,000,000 A
• 42 out of 10,000 B
• 42 out of 1000,000 C
• 303 out of 1,000,000 D

8 students in a class obtained 60%, 3 obtained 75%, 2 obtained 80% and 7 obtained 45% in a class test. What is the average marks ?

• 49% A
• 59% B
• 29% C
• 51% D

a has to be a whole number such that 0 ≤ a ≤ 10. The solution for a < 4 and a ≥ 6 is:

• 5 A
• 7 B
• 3 C
• no solution D

How many whole bricks 6 × 12 × 24 cm³ will be sufficient to construct a solid cube of minimum size ?

• 4 A
• 6 B
• 8 C
• 12 D

Mohin is now three times Mohsin age. Four years from now Mohin will be y years old. In terms of y, how old will Mohsin be ?

• x - 4/3 A
• x + 4/3 B
• x + 4 C
• x - 4 D

• 200 A
• 220 B
• 210 C
• 190 D