
In the question below consists of one question and some statements given below it. Read all the statements carefully and find out which of the statement is/are sufficient to answer the given question.
Who has got highest marks among P, Q, R, S and T?
I. T has got less marks than R and more than Q and S. P has got the lowest marks.
II. S has got more marks than P and less than R. Also, Q has got more marks than P and less than T.
I. T has got less marks than R and more than Q and S. P has got the lowest marks.
II. S has got more marks than P and less than R. Also, Q has got more marks than P and less than T.
If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
If the data either in statement I alone or in statement II alone are sufficient to answer the question.
If the data in both statements I and II together are necessary to answer the question.
If the data in both statements I and II together are not sufficient to answer the question.

Important Questions on Data Sufficiency
Question
What is the number of pyramids in the box?
Statements
I. There are some yellow, red, and blue colored pyramids in the box.
II. There are 6 yellow, 7 red and some blue coloured pyramids in the box.

Find the number of boys and number of girls in a row.
I. R sits from the left end of the row and Y sits from the right end of the row. R and Y interchange their positions, after interchanging the position, R's position is from the left end.II. Total students are in the row and all are facing in same direction.
a. if the data is statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
b. if the data is statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
c. if the data either in statement I alone or in statement II alone are sufficient to answer the question.
d. if the data even in both statement I and II together are not sufficient to answer the question.
e. if the data even in both statement I and II together are necessary to answer the question.

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and Give answer.
Did X lose the golden chain in school?
I. The children need not wear jewellery in school.
II. X had worn the golden chain in the morning.

In the given question, consists of two statements numbered I and II given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Read both the statements and give answers.
What is the code of the 'right' in a certain code language?
I. The code of 'every right to reject' is '%47*32@53*95'
II. The code of 'never reject right turn' is %62%47@51*32'
a. if the data is statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
b. if the data is statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
c. if the data either in statement I alone or in statement II alone are sufficient to answer the question.
d. if the data even in both statement I and II together are not sufficient to answer the question.
e. if the data even in both statement I and II together are necessary to answer the question.

L, A, C and E are standing in the descending order of their height. Who is standing at the first place?
I. L is taller than C and E.
II. A is taller than L.

In the given question, consists of two statements numbered I and II given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Read both the statements and give answers.
Who sits immediate to the left of Ravi, who is sitting in a row. All the persons who are sitting in that row are facing towards North direction?
I. There are only two persons sitting between Sahil and Geeta. More than three persons sit to the left of Geeta.
II. Not more than 8 persons can sit in a row. Ravi sits second to the left of Sahil. Divya sits 6 places away from Geeta.
a. if the data is statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
b. if the data is statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
c. if the data either in statement I alone or in statement II alone are sufficient to answer the question.
d. if the data even in both statement I and II together are not sufficient to answer the question.
e. if the data even in both statement I and II together are necessary to answer the question.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
If |x| denotes the least integer greater than or equal to x, is |x| = 0?
(1) −1 < x < 1
(2) x < 0

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
If Car X followed Car Y across a certain bridge that is 1/2 mile long, how many seconds did it take Car X to travel across the bridge?
(1) Car X drove onto the bridge exactly 3 seconds after Car Y drove onto the bridge and drove off the bridge exactly 2 seconds after Car Y drove off the bridge.
(2) Car Y traveled across the bridge at a constant speed of 30 miles per hour.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
If x and y are integers, is x > y?
(1) x + y > 0
(2) y x < 0

In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Who has secured less marks among A, B, C, D and E?I. D has secured less marks than only C and E.
II. B secured more marks than A.

. If the statement , alone is sufficient to answer the question, but the statement , alone is not sufficient.
. If the statement , alone is sufficient to answer the question, but the statement , alone is not sufficient.
. If either the statement , alone or the statement , alone is sufficient to answer the question.
.If you cannot get the answer from the statement , and , together, but need more data.
. If both statements , and , together are needed to answer the question.
What does ki means, in a code language
. 'Lo ki phi chi' means 'children are really cute'.
. 'Tee phi chi lo' means 'cute children are naughty'.

Each of the question below consists of a question and two Statements I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements.
In which direction is Shreya facing ?
I. If Sumit who is currently facing West, turns towards his left, he would face the same direction as Shreya.
II. If Harish who is currently facing East, turns towards his left, he would face a direction just opposite to the direction Shreya is facing.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
$k, n, 12, 6, 17$
What is the value of $n$ in the list above?
(1) $k < n$
(2) The median of the numbers in the list is $10$.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
How many people are directors of both Company K and Company R?
(1) There were 17 directors present at a joint meeting of the directors of Company K and Company R, and no directors were absent.
(2) Company K has 12 directors and Company R has 8 directors.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
What is the cube root of w?
(1) The 5th root of w is 64.
(2) The 15th root of w is 4.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
Is rst = 1?
(1) rs = 1
(2) st = 1

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
Each week a certain salesman is paid a fixed amount equal to , plus a commission equal to percent of the amount of his sales that week over . What is the total amount the salesman was paid last week?
(1) The total amount the salesman was paid last week is equal to percent of the amount of his sales last week.
(2) The salesman's sales last week totaled .

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
If $r > 0$ and $s > 0$, is $(\frac{r}{s}) < (\frac{s}{r})?$
(1)$\frac{r}{(3s)} = \frac{1}{4}$
(2) $s = r + 4$

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
Is x a negative number?
(1) 9x > 10x
(2) x+3 is positive.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
If k is an integer such that $56 < k < 66$, what is the value of $k?$
(1) If $k$ were divided by $2$, the remainder would be $1$.
(2) If $k + 1$ were divided by $3$, the remainder would be $0$.

