Directions: Each question is followed by two statements.
You have to decide whether the information provided the statements is sufficient for answering the question.
Is a divisible by 65?
Explanation: -Statement A alone is not sufficient as we don't know whether it is divisible by 5. From statement B we have a + b = 175 and b is a multiple of 20 of b, a is not divisible by 65.
• Statement B alone is sufficient.
Directions: Each question is followed by two statements.
You have to decide whether the information provided the statements is sufficient for answering the question.
What is the area of the cyclic quadrilateral ABCD, where AB = 6 cm?
Explanation: From statement A,
Let O be the centre of the circle.
Given OE = OF ………..(1)
where E and F are the foot of the perpendiculars drawn from AD and AB respectively.
The given condition is possible only when ABCD is a square and AB = 6. So, the area of ABCD can be calculated.
• A alone is sufficient.
From statement B alone, since AB is parallel and equal to CD, ABCD is a rectangle. We do not have any information about the AD or BC.
So, B alone is not sufficient.
Directions: Each question is followed by two statements. You have to decide whether the information provided the statements is sufficient for answering the question.
What is the average mark of the entire class of 300 students?
Explanation: From statement I, Let the number of girls = x
Number of boys = 2x
• Average marks of the class
= = 77%
Statement II.
Number of boys = Number of girls = x(say)
• Average marks of the class
Hence, either of the statements alone is sufficient to give a solution.
Directions: Each question is followed by two statements. You have to decide whether the information provided the statements is sufficient for answering the question.
How many students from the top 20 rankers in the institute are Commerce graduates if it is known that none of the top five rankers are Commerce graduates?
Explanation: Form statement II alone we can get the answer. If there are at least eight commerce graduates in the to 15 they must be in the ranks 6 to 15 only (because the top 5 are not commerce graduates). When we consider the last 15 of the to 20, since this will be from 6 to 20 all the eight or more commerce graduates in the ranks 6 to 15 should also be counted here. That means, at least 8 commerce graduates must be there from 6 to 20. But statement II itself says that there are not more than 8 commerce graduates from ranks 6 to 20. This means, there are exactly eight commerce graduate from 6 to 20 or in other words, there are 8 commerce graduates in the to twenty rankers.
Directions: Each question is followed by two statements. You have to decide whether the information provided the statements is sufficient for answering the question.
How many stars are there in the sky?
Explanation: While we know the weight of truck filled with sand, we do not have the weight of an empty truck to calculate the weight of sand in the truck, unless we know the weight of the sand, we cannot get the number of grains of sand.