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: 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.
Is k greater than 3?
Explanation: Since the answer can be obtained from the first statement alone, option [1] is correct.
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.
Is the prime number p equal to 37?
Explanation: Since 142 = 196 and 152 = 225, if follows from (B) that p > 14
In (A) the expression n2 + 1 can represent a prime number less than 37, equal to 37, or greater than 37, depending on the value of n. For example, if n = 4, the 42 + 1 = 17; if n = 6, then 62 + 1 = 37; if n = 10, then 102 + 1 = 101; and 17, 37, and 101 are all prime numbers. Thus, (A) alone is not sufficient
Both the statements together are not sufficient
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.