Directions: Each question is followed by two statements. You have to decide whether the information provided the statements is sufficient for answering the question.
In a colony, every house has a connecting for either STAR or ATN. How many houses have both STAR and ATN connections in the colony?
Explanation: From statement I: we have 50 houses have STAR.
From statement II, we get 25 houses (50% of 50) have both STAR and ATN and that 120 houses have ATN. So, we can calculate total number of houses as 50+120–25 = 145;
Directions: Each problem contains a question and two statements giving certain data.
You have to select the correct answer from [1] to [4] depending on the sufficiency of the data given in the statements to answer the question.
If the length of each side of rectangle R is squared, what is the sum of the 4-squared lengths?
Explanation: Since (diagonal)2 = (length)2 + (breadth)2, sum of the square of sides of a rectangle is nothing but 2
(diagonal)2. So statement I is sufficient.
Directions: Each problem contains a question and two statements giving certain data.
You have to select the correct answer from [1] to [4] depending on the sufficiency of the data given in the statements to answer the question.
The number of boys in grade 7 is equal to the number of girls in grade 8. If 2 students are selected at random, one from the 7th grade and one from the 8th grade, which of the two is more likely to be a girl?
Explanation: Leg g be the number of girls in grade 7. Then using statement I, boys in grade 8 = g – 25.
From statement II, we know that girls in grad 8 = g + 25 – 10 = g + 15.
Hence, boys in grade 7 = g + 15.
To answer the question we need to compare the ratio of girls in grade 7 out of total students of grade 7, and girls in grade 8 out of total students in grade 8.
i.e. . For some of values of g, first fraction is smaller, while for other values, the second may be smaller. Hence [4]
Directions: Read the rules listed below.
Radhesh is a class X student and is practicing for his board exam. He draws a circle of radius 9.6 cm. He also draws a chord, whose length is
Explanation: Statement I allows you get the answer since the perpendicular from the centre of the circle to the chord is going to bisect the chord. Then using Pythagoras theorem, you can calculate the length of the ½ chord
Statement II doesn’t provide you any concrete information to be useful
Directions: Read the rules listed below.
A shopkeeper sells pens of two companies i.e. Reynold and Cello, in two different packs. A pack of Reynold’s pens contains 10 pens while a pack of Cello’s pens contain 5 pens. What is the price of one pack of Reynold’s pens?
Explanation: Suppose the number of rupees obtained for the pack of Reynold’s pen is expressed by the digits x and y.
From I: The price of each pen of Reynold’s company 10x + y/10 and, the price of each pen of Cello 10y + x/5
From II : Difference between the price of each pen of the given two companies is Rs 0.5. We get 10x + y/10 - 10y + x/5 = 50 By solving it we get, x = 3 and y = 1 Hence, the price of each pack of Reynold’s pen is Rs. 31.