data sufficiency qs
Choose A: If the question can be answered by one of the statement alone but not by another.
Choose B: If the question can be answered by using either statement alone.
Choose C: If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose D: If the question cannot be answered by using both the statements together.
Q1. X is a single digit number all of whose powers end in the same digit. What is X?
a. The number of is divisible by 5?
b. The number is not composite number.
Q2. x + 2y + z = 8
2x + y + z = 7
what are the values of x, y, z?
a. x, y, z are positive integers.
b. x, y, z are distinct numbers
Q3. A truncated cone of base radius 7 cm and height 5 cm is melted into a hollow sphere. What is the inside diameter of the sphere?
a. The original height of the cone is 10 cms.
b. The slant height of the cone originally is 24 cms.
Q4. what is the profit percentage?
a. If the selling price is increased by Rs. 70, the profit increases by 50%.
b. If the selling price reduces to 70%, the profit increases by Rs.50.
Q5. what is the ratio of the sum of the first 20 terms of the two arithmetic series A1, A2 ?
a. The ratio of the 10th terms of A1 and A2 is 2 : 3
b. New terms are introduced between every two consecutive terms A1 and A2, forming two new arithmetic series A3, A4 respectively. The ratio of 20th terms of A3 and A4 is 2 : 3.
Q6. ‘X’ is a positive integer, which when divided by 2 has a reminder of 1. what is the reminder when ‘x’ is divided by 4?
a. x is a multiple of 3
b. 61 < x < 65
Q1. X is a single digit number all of whose powers end in the same digit. What is X?
a. The number is divisible by 5.
b. The number is not composite number.
ans:
X is a single digit number all of whose powers end in the same digit
=>
possible numbers are 1, 5, 6
from statement a. The number of is divisible by 5.
we can say the number is 5 (1,6 are not possible)
from statement a. The number is not composite number.
Nothing can be said about the number.
Thus the answer is A: If the question can be answered by one of the statement alone but not by another.
Q2. x + 2y + z = 8
2x + y + z = 7
what are the values of x, y, z?
a. x, y, z are positive integers.
b. x, y, z are distinct numbers
ans:
can be solved by using both the statements and the values are
x = 1
y = 2
z = 3
So ans is Choose C: If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Q4. what is the profit percentage?
a. If the selling price is increased by Rs. 70, the profit increases by 50%.
b. If the selling price reduces to 70%, the profit increases by Rs.50.
ans:
Choose B: If the question can be answered by using either statement alone.

b alone gives the correct answer
so ans is A