Directions (1-5): Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of mathematics to choose between the possible answers. Give answer:
(a)if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
(b)if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
(c)if either the statement A alone or B alone is sufficient to answer the question.
(d)if you cannot get the answer from the statements A and B together, but needed even more data.
(e)if the both statement A and B together are needed to
answer the question.
Question 1. What is the exact average of n, 35, 39, 42, p and w?
A. n is six more than w.
B. w is four less than p.
Explanation
d
From statement I
n = 6 + w
From statement II
w = p – 4
Hence, the data in both the statement are not sufficient.
Question 2. What was the per cent profit/loss made/incurred by selling an article for Rs. 24000?
A. The ratio between the selling price and the cost price of the articles is 5 : 3 respectively.
B. The difference between the cost price and the selling price is Rs. 9600.
Explanation
. a
SP = 24000
From statement I
SP/CP=5/3
CP = 144,00
∴ % profit =(24000 – 14400)/14000×100=68.5%
From statement II
It is not clear that CP is greater than or less than SP.
Hence, the data in statement I is sufficient.
Question 3. What is the ratio between two numbers x and y?
A. 40% of x is 20% of 50.
B. 30% of y is 25% of 72.
Explanation
e
From statement I
40/100 x=20/100×50⇒x=25
From statement II
30/100×y=25/100×72⇒y=60
∴x : y = 25 : 60 = 5 : 12
Hence, the data in both the statement are not sufficient.
Question 4. What is the area of the circle?
A. The breadth of a rectangle is three-fourth the radius of the circle.
B. The radius of the circle is equal to the side of a square of area 144 sq cm.
Explanation
b
From statement I
b=3/4 r
From statement II
r=a=√144=12
∴ Area of circle =πr^2=144π
Hence, the data in statement II is sufficient.
Question 5. What is Jyoti’s annual income?
A. Jyoti’s monthly income is Rs. 8500 more than Amit’s monthly income.
B .Rohit’s monthly income is Rs. 3.5 thousand which is half Amit’s monthly income.
Explanation
. e
From both statements.
Jyoti’s income = Amit’s income + 8500
Amit’s income = 3.5×2=7000
∴Jyoti’s income = 7000 + 8500 = 15,500
