GAT General 

Graduate Assessment  Test  

Admission  Test  for  M.Phil 


INSTRUCTIONS 

? PLEASE MARK YOUR ANSWERS ON THE ANSWER SHEET.

? ANWERS MARKED ON THE QUESTION PAPER WILL NOT BE GRADED.

? 1 POINT WILL BE AWARDED FOR CORRECT ANSWERS.

? ¼ POINT WILL BE DEDUCTED FOR WRONG ANSWERS

? MULTIPLY MARKED ANSWERS WILL BE TREATED AS WRONG ANSWERS.

? QUESTIONS LEFT UNANSWERED WILL GET O POINTS.

? MARK YOUR ANSWER BY SHADING YOUR CHOICE AS SHOWN

(a) (b) (c) (d) (e)

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              This test consists of two parts each having 15 questions. In each of the Questions, 1-15, the problem states two quantities, one in column A and one in column B, with possibly some additional information. You are to compare the two quantities and choose your answer as follows:

 

  1. If the quantity in column A is greater.

  1. If the quantity in column B us greater.

  1. If the two quantities are equal.

  1. If the relationship cannot be determined the information given


Example 1

                          Column A                                 Column B

                                  2/7                                        12/49

Example 2

                           Given that x>0.

                                             x2                                               1

If x>1 then x2>1 otherwise x2<1. Hence the information provided is not sufficient to

solve the problem and therefore, the correct answer is (d).

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Questions 16-30              relate to simple arithmetic and logical reasoning After each question,

there are five answers but only one of them is the correct answer. You are to solve each

question and indicate which answer you think is correct.




Example:

The ice compartment of a refrigerator is 10 inches wide, 5 inches high and 4 inches deep.

If an cube is 2 inches on each side, how many whole cubes will fit into the compartment?

                   (a) 20               (b) 25                 (c) 30             (d) 16              (e) 32

5 cubes will fit in the width, only 2 in the height and 2 in the depth.

Thus the total number of cubes is 5x2x2=20.

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TEST 2 30 MINUTES

PART A

                                         Column A                                                                       Column B

Q.1                                        0.0003                                                                       0.003%

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Q.2                      Average of one tenth,                                                                   0.111

                                One hundredth,

                               And one thousand

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Q.3                               abc = 0 and                                                                      c = 1

                                           Ab =  1

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Q.4                    y-5=8 anc x + 5 = 7                                        x = y   15

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Q.5              Square root of (0.16/0.25)                                            0.9

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Q.6                        (5)(4)(3) = ((15)(16)/x                                           x = 4

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Q.7                            x = 2 and y = 3                                              x – y  =   y – x

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Q.8                             (1/4)/(3/8)                                                             1.5

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Q.9                             a/b=c/d                                                                  ad = bc

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Q.10                                                  a6                                                                                                 6a5

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Q.11                                   3x                                  y>x>0                                       y

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Q.12                           q<r<s and x < y <z                                                            x s

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Q.13                          9/a < 9/b and a > 1 and b> 1                                           a b

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Q.14                            Time between 9.45 a.m.                                                   ¾ hour                

                                         And 10.40 a.m.

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Q.15                                      0.01                                                                       Square root of 0.0001


PART B

Q.16 If 32 students in a class are girls and in the class the ratio of girls to boys is 16.9. what percentage of the class is female?


Q.17 A pile of notebooks is 15 inches high. If each notebook is 0.25 inches thick, the number of notebooks in the pile is:

                                        (a) 45               (b) 56.25%                   (c) 64%               (d) 72%             (e) 32%


Q.18 If a rectangle has length L and the width is one half of the length, then the area of the rectangle is:

                                            (a) L                (b) L2                 (c) 0.5 L2            (d) 0.25 L2               (e) 2 L


Q.19 A cricket team played 60 matches and won 30% of them. After playing more matches, and winning all of them, the team raised its winning average to 50%. How many matches did the team play after the first 60?

                                 (a) 20              b) 24                  (c) 30                           (d) 45                    (e) 12


Q.20            A rectangle L inches long and W inches wide is made 3 inches longer. The area (in square inches) has increased by:

                    (a) 3L              (b) 3LW                   (c) 3(L+W)            (d) 3l+3W+9                  (e) 3W


Q.21                  Which of the following is greater than 1/4?

                            (a) ¼               (b) ( 1/4)4                   (c) 0.04           (d) 1/250               (e) (0.25)2


Q.22                     A square of area 169 square feet must have 2 feet cut off one of its edges to fit in

 a rectangular room. What is the area (in square feet) of this room?

                (a) 121                 (b) 143                 (c) 165                    (d) 167               (e) 117


Q.23                  One orange costs x paisas. What is the cost, in rupees, of one dozen oranges?

                (a) x/12             (b) 12/100                   (c) x/100               (d) 12x/100             (e) 12x


Q.24 One half of the students in a class study Persian one thirds of the remainder study Arabic. The remaining 30 do not study foreign language. How many students are there in the class?

                                  (a) 55                   (b) 90                  (c) 135                 (d)  180                (e) 36


Q.25          The area of a square whose side is 18 feet is equal to the area of a rectangle with a length of 3 yards. The width of the rectangle (in feet) is:

 

Q.26                Paint is only available in 1 gallon cans. How many gallons should be purchased to cover 760 square feet if one gallon will cover 200 square feet?

                 a) 4                 (b) 5            (c) 6             (d) 7                 (e) 3


Q.27          The side of a square is 9 inches. The distance (to the nearest inch) between any two diagonally opposite comers is:

                        (a) 12                 (b) 11               (c) 9                (d) 15            (e) 13


Q.28        Which of the following has the greatest value:

                (a) 0.3              (b) 2/5                    (c) 1/3                  (d) 0.01 ?              (e) 0.3


Q.29           If one worker can pack 1/6 of a carton in 15 minutes and there are 40 workers, how many cartons can be packed in one and two-thirds ( 1 2/3) hours?

                  (a) 40 2/9                    (b) 43 4/9             (c) 1/3               (d) 0.01 ?          (e) 0.3


Q.30              If the sum of two numbers is 7 and their difference is 5 then the larger of the two numbers is.

                    (a) 3                      (b) 5                   (c) 7                     (d) 1                (e) 2