# NTA-NET (UGC-NET) Paper-I (in English) Video Course Lecture: Data Sufficiency Basics (*52 mins*) | Lecture 6 of 84

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## Topics Covered

- Data Interpretation & Sufficiency » Data Sufficiency

## Details

Q. What is the average of x, y, and z?

1.

2.

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

Q. A man shared his lottery winnings of 15,000 with his wife and two children. How much did his wife receive?

1. He gave his children 2,000 each.

2. The wife received 1,000 less than her husband and three thousand more than each of the children.

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

Q. A die is rolled randomly on to a circular board with a triangle inscribed in the circle. (All three vertices of the triangle are on the circumference of the circle.) What is the probability that the die comes to rest outside the triangular region?

1. The hypotenuse of the triangle is a diameter of the circle.

2. The radius of the circle is 2 units, and the area of the triangle is 4 square units.

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

Q. A university has 2,000 faculty members all of whom have a masters degree, and some of whom also have a doctorate. 35 percent of the faculty members are female. What fraction of the faculty members are female doctorate holders?

1.20 percent of the male faculty members have a doctorate.

2. A total of 1140 faculty members have only a masters degree.

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

Q. Is x < 0?

1.

2.

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

Q. In what year was Micky born?

Micky՚s daughter was born in 1960 when Micky was 28 years old.

Micky՚s birthday and her daughter՚s birthday are exactly six months apart.

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

Q. Set 1: 13,10, 8,2

Set 2: 13, 11,3, 2, x

Is the median of the numbers in set 1 above, equal to the median of the numbers in set 2?

1.

2. The sum of numbers in set 2 is 38

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

Q. In triangle ABC all the sides have integer lengths. What is the length of side AC?

1. AB = 3 and BC = 4

2. One of the angles of ABC is a right angle

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

Q. If x and y are both positive integers, how much greater is x than y?

1.

2.

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

Q. Is w an integer?

1.3w is an odd number.

2.2w is an even number.

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

Q. What is the length of the diagonal of rectangle ABCD?

1. The perimeter of the rectangle is 16.

2. The area of the rectangle is 16.

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

Q. Are p and q both greater than zero?

1. p - q > 0

2. p > q

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

Q. How many hours were Jack and Jill away from home?

1. They left at 9.30 am on Monday and returned at 9.30 pm on Friday.

2. Their home was empty for exactly four days.

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

Q. The cost of a certain phone call was 0.75 for the first 3 minutes and 0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes?

1. The cost of the phone call was less than 4.16

2. The cost of the phone call was greater than 3.35

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

Q. Of the 75 houses in a certain community, 48 have a patio. How many of the houses in the community have a swimming pool?

1.38 of the houses in the community have a patio but do not have a swimming pool.

2. The number of houses in the community that have a patio and a swimming pool is equal to the number of houses in the community that have neither a swimming pool nor a patio.

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

Q. How many adults ride bicycles in city A if all adults in city A either ride bicycles or drive cars?

1.85 % of the 10,000 adults in city A drive cars.

2.8,500 adults in city A drive cars.

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

Q. Jack drove to the airport and back home again along the same roads without stopping. How long did it take him to get home from the airport?

1. The car traveled at an average speed of 65 miles per hour.

2. The entire trip took 3 hours to complete.

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

Q. How much was a certain card worth in January 1991?

1. In January 1997 the card was worth 10,000.

2. Over the ten years 1987 - 1997, the card increased in value by 10 % each 12 months.

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

Q. What is the average (arithmetic mean) of 3x and 12z?

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