If each of the 20 rolls of fabric on the shelf is either 100% cotton or 100% wool or a mixture of cotton and wool, then find the number of rolls only with a mixture of cotton and wool ? Statements :
I. Of the 20 rolls 18 contains wool and 14 contains cotton.
II. Of the 20 rolls, 6 are 100% wool.
A :
If the question can be answered with the help of the Statement I alone.
B :
If the question can be answered with the help of the Statement II alone.
C :
If the question can be answered with the help of both the statements, but not with the help of either statements alone.
D :
If question can not be answered even with the help of both the statements.
Answer: A Statement I : Of the 20 rolls 18 contains wool and 14 contains cotton. Number of rolls only with the mixture of both = 18+14 - 20 = 32. Statement II : out of 20 rolls 6 contains 100% wool => 14 is either 100% wool or a mixture does not give the conclusion.
Q. No. 32:
What is the third number of 8 consecutive natural number ? Statements :
I. Product of the numbers is 34, 459, 425.
II. Sum of numbers is 84.
A :
If the question can be answered with the help of the Statement I alone.
B :
If the question can be answered with the help of the Statement II alone.
C :
If the question can be answered with the help of both the statements, but not with the help of either statements alone.
D :
If question can not be answered even with the help of both the statements.
Answer: B Statement II : Let the number be x, Consecutive eight letters = x, x+1, x+2, .....x+7. 8x + (1+2+3+4+5+6+7) = 84 => x = 7.
Q. No. 33:
A wooden rectangular box of dimensions 5cm * 6cm * 8cm is solid except for a small spherical section in the centre filled with liquid. What is the minimum depth to which Rahul will have to drill so as to reach the liquid ? Statements :
I. Volume of the wood is known.
II. Rahul can drill a hole 1 m deep in 1 hour.
A :
If the question can be answered with the help of the Statement I alone.
B :
If the question can be answered with the help of the Statement II alone.
C :
If the question can be answered with the help of both the statements, but not with the help of either statements alone.
D :
If question can not be answered even with the help of both the statements.
Answer: A Statement I : We can get the difference of volume of rectangular box and volume of wood, then we can get the minimum depth of the wood. Statement II : Doesn't lead to the conclusion, as nothing to do with time.
Q. No. 34:
A library buys between 5, 4 and 3 copies of each book depending upon their popularity i.e high, fair and medium respectively. It has in all 718 copies of 200 books. When I ask for a copy. "The God of Small Things" Which i knw is part of their collection, will I get the book ? Statements :
I. Three people have already been issued a copy each.
II. 16% of all the books are highly popular while 27% are fairly popular.
A :
If the question can be answered with the help of the Statement I alone.
B :
If the question can be answered with the help of the Statement II alone.
C :
If the question can be answered with the help of both the statements, but not with the help of either statements alone.
D :
If question can not be answered even with the help of both the statements.
Answer: D Statement I : As, we can't conclude the answer because the library may have 3 or more copies of the book depending upon its popularity. Statement II : We can't decide whether "The God of Small Things" is popular or not.
Q. No. 35:
The diameter of the rear wheel of a vehicle is 1.2 m. What is the diameter of front wheel? Statements :
I. Front wheel makes 240 revolutions while rear wheel makes 80.
II. In 204 revolutions the front wheel covers a distance of 603.4 m.
A :
If the question can be answered with the help of the Statement I alone.
B :
If the question can be answered with the help of the Statement II alone.
C :
If the question can be answered with the help of both the statements, but not with the help of either statements alone.
D :
If question can not be answered even with the help of both the statements.
Answer: A Statement I : The distance traveled by both the wheels are equal. Hence, 2*pie*r*80 = 2*pie*R*240 => R = (0.6*80)/240 = 0.2 m. Statement II : We can't calculate the diameter of the front wheel.
Q. No. 36:
P,Q,R and S lie in the same order on the straight line. How many metres apart are Q and R ? Statements : I. The distance from P to Q is 15 metres. II. The distance from Q to S is 20 metres.
A :
If the question can be answered with the help of statement I alone
B :
If the question can be answered with the help of the statement II alone
C :
If the question can be answered with the help of both the statements but not with the help of either statements alone.
D :
If the question cannot be answered even by using both the statements together.