Directions: Each question is followed by two statements.
You have to decide whether the information provided the statements is sufficient for answering the question.
The number 165 is split into three parts – two perfect squares and one perfect cube. If all the three parts are positive and distinct, find the three parts.
Explanation: Given 165 is divided into two perfect squares and one perfect cube. The possibilities are (100, 1, 64), (100, 64, 1), (4, 36, 125) and 121, 36, 8).
From statement A we have, the one of the two perfect square as 36.
There are two possibilities for this –
(4, 36, 125) and (121, 36, 8),
• Statement A alone is not sufficient
From statement B we have the greatest of the three parts is perfect cube. So, the only possibility is (4, 36, 125)
• 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.
A certain English word has three vowels (not necessarily distinct). What is the number of O’s in the word?
(1)3
(2)2
(3)1
(4)4
Explanation: As statement A does not mention anything about vowe! O, statement A alone is not sufficient.
From statement B, we have the given word as
– REPUBLIC DAY. The vowels in this word are A, E, I and U.
As the required word is not having any of these vowels, it has all the three vowels as O.
• 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.
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 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 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.