| Q68 |
If n is a positive integer less than 200 and 14n/60 is an integer, then n has how many different positive prime factors? |
| (1) Two |
(2) Three |
(3) Five |
(4) Six |
|
| Q69 |
If the circle above has center O and circumference 18p, then the perimeter of the sector KLMO is |
| (1) |
(2) |
(3) |
(4) |
|
| Q70 |
If 4 is one solution of the equation, x 2 + 3x + k = 0, where k is a constant, what is the other solution? |
| (1) -7 |
(2) -3 |
(3) 1 |
(4) 6 |
|
| Q71 |
A rectangular box is 10 units wide, 10 units long, 5 units high. What is the greatest possible (straight line) distance, in the same units, between any two points on the box? |
| (1) 20 |
(2) 10√ 3 |
(3) 15 |
(4) 10 √ 2 |
|
| Q72 |
In the figure above, the point on segment PQ that is twice as far as from P as from Q is |
| (1) (1.5, 0.5) |
(2) (1,0) |
(3) (2, -1) |
(4)
(2,1) |
|
Directions for Questions 73 – 77:
In each of the problems, a question is followed by two statements marked (A) and (B) containing certain data pertaining to the problem. You need to determine whether the data provided by the statements (A) and (B) are sufficient to answer the question from the four answer choices numbered (1), (2), (3) and (4). Choose the correct answer for each question based upon the statement data and then darken the corresponding oval in the answer sheet.
Choose – 1 – If the question can be answered by (A) ALONE but NOT by (B) alone.
Choose – 2 – If the question can be answered by (B) ALONE but NOT by (A) alone.
Choose – 3 – If the question can be answered by using both the statements TOGETHER but cannot be answered by using either statement alone.
Choose – 4 – If the question CANNOT BE answered even by using both statements together. |
| Q73 |
If m and n are consecutive positive integers, is m greater than ?
(A) m – 1 and n + 1 are consecutive positive integers.
(B) m is an even integer
|
| (1) (A) alone |
(2) (B) alone |
(3) Both statements together |
(4) Cannot be answered |
|
| Q74 |
How many integers n are there such that r < n < s?
(A) s – r = 5
(B) r and s are not integers |
| (1) (A) alone |
(2) (B) alone |
(3) Both statements together |
(4) Cannot be answered |
|
| Q75 |
If K and L are each circular regions, what is the radius of the larger of these regions?
(A) The area of K plus the area of L is equal to 90 TT
(B) The larger circular region has a radius that is twice the radius of smaller circular region |
| (1) (A) alone |
(2) (B) alone |
(3) Both statements together |
(4) Cannot be answered |
|
| Q76 |
An empty rectangular swimming pool has uniform depth. How long will it take to fill the pool with water?
(A) Water will be pumped in at the rate of 240 gallons per hour (1 cubic foot = 7.5 gallons)
(B) The pool is 60 feet long and 25 feet wide
|
| (1) (A) alone |
(2) (B) alone |
(3) Both statements together |
(4) Cannot be answered |
|
| Q77 |
If 2x (5n) = t, what is the value of t?
(A) X = n + 3
(B) 2x = 32
|
| (1) (A) alone |
(2) (B) alone |
(3) Both statements together |
(4) Cannot be answered |
|
Directions for Questions 78 – 84:
Choose the correct answer from the answer choices and then darken the corresponding oval in the answer sheet. |
| Q78 |
If (2 x ) (2 y ) = 8 and (9 x ) (3 y ) = 81, then (x,y) =
(A) X = n + 3
(B) 2x = 32
|
| (1) (1,3) |
(2) (2,2) |
(3) (1,1) |
(4) (1,2) |
|
| Q79 |
If x, y, and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is not necessarily an integer?
|
| (1) |
(2) |
(3) |
(4) |
|
| Q80 |
If a sales person sold her goods for Rs. 75.00 at a percent equal to its cost price, then cost price was (in Rs)?
|
| (1) 40 |
(2) 42 |
(3) 25 |
(4) 50 |
|
| Q81 |
The cost of manufacturing a popular model of a car is made up of three items: cost of raw materials, labour and overheads – In a year the cost of three items were in the ration of 4: 3: 2. Next year the cost of the raw materials rose by 10%, labour cost increased by 8% but overheads reduced by 5 %. The % increase in the price of the car is
|
| (1) 7.67% |
(2) 6% |
(3) 0.54% |
(4) 9.54% |
|
| Q82 |
The product of two numbers is 24. If the sum of the squares of two numbers be added to the sum of the numbers, the result is 62. The smaller number of the two is
|
| (1) 3 |
(2) – 8 |
(3) 3 |
(4) None of these |
|
| Q83 |
What is the value of x that would satisfy x y = y x and x 2 = y 3, where x, y >0, - 1 and y ≠1
|
| (1) |
(2) |
(3) |
(4) |
|
| Q84 |
The first term of an Arithmetic Progression (A. P) is 5 and the fourth term is 17, then the tenth term is
|
| (1) 22 |
(2) 37 |
(3) 41 |
(4) 45 |
|
|
|
| [ Answers ]
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Test Description
