List of practice Questions

Suppose one wishes to find distinct positive integers \( x, y \) such that \( \frac{x + y}{xy} \) is also a positive integer. What can be said about the number of such valid pairs?
Given odd positive integers \( x, y, z \), which of the following is not necessarily true?
139 persons have signed up for an elimination tournament. All players are to be paired for the first round, with one bye in case of odd number. What is the minimum number of matches to determine the champion?
Ten 50 paise coins: 6 tails, 4 heads. One coin is flipped randomly, seven times in total. One coin is covered. The rest show 5 tails and 4 heads. What does the covered coin show?
What is the price of mangoes per kg? I. Ten kg of mangoes and two dozens of oranges cost Rs. 252.
I II. Two kg of mangoes could be bought in exchange for one dozen oranges.
Two oranges, three bananas and four apples cost Rs.15. Three oranges, two bananas and one apple cost Rs.10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay?
Each sentence is broken into four parts. Identify the part with an error.
Given that X and Y are non-negative. What is the value of X?
I. $2X + 2Y \leq 40$
I II. $X - 2Y \geq 20$
What are the values of three integers \( a, b, \) and \( c \)? I. \( ab = 8 \)
I II. \( bc = 9 \)
Is the average of the largest and the smallest of four given numbers greater than the average of the four numbers? I. The difference between the largest and the second largest numbers is greater than the difference between the second smallest and the smallest numbers.
I II. The difference between the largest and the second largest numbers is less than the difference between the second largest and the second smallest numbers.
What are the ages of the three brothers? I. The product of their ages is 21.
I II. The sum of their ages is not divisible by 3.
Two types of widgets, namely type A and type B, are produced on a machine. The number of machine hours available per week is 80. How many widgets of type A must be produced? I. One unit of type A widget requires 2 machine hours and one unit of type B widget requires 4 machine hours.
I II. The widget dealer wants supply of at least 10 units of type A widget per week and he would not accept less than 15 units of type B widget.
This question has four items. Mark the one that does not belong to this group.
Options relate to philosophy and level of tangibility.
Each sentence is broken into four parts. Identify the part with an error.
Each sentence is broken into four parts. Identify the part with an error.
Each sentence is broken into four parts. Identify the part with an error.
Each sentence is broken into four parts. Identify the part with an error.
ATMOSPHERE : STRATOSPHERE
Choose the pair of words which best expresses the relationship similar to that expressed in the capitalized pair.
DIVIDE : UNITE
Choose the pair of words which best expresses the relationship similar to that expressed in the capitalized pair.
This questions has four items. Mark the one that does not belong to this group.
Options given relate to commercial documents or tax instruments.
This question has four items. Mark the one that does not belong to this group.
Options relate to horses and related terms.
This question has four items. Mark the one that does not belong to this group.
Options relate to synonymy of suitability or skill.
This question has four items. Mark the one that does not belong to this group.
Options relate to body parts or accessories.
FOOD : GOURMET
Choose the pair of words which best expresses the relationship similar to that expressed in the capitalized pair.
NORTH : SOUTH
Choose the pair of words which best expresses the relationship similar to that expressed in the capitalized pair.