# NTA-NET (UGC-NET) Paper-I (in English) Video Course Lecture: Data Sufficiency Difficult (*40 mins*) | Lecture 7 of 84

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## Topics Covered

- Data Interpretation & Sufficiency » Data Sufficiency

## Details

Q. Determine the price of two type A footballs if the total cost of a type A and a type B football is 500.

1. Type B football costs 200.

2. Two type A and three type B footballs costs 1200.

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 certain wooded lot contains 56 maple trees. How many deodar trees does the lot contain?

1. The ratio of the number of maple trees to the number of deodar trees in the lot is 8 to 5.

2. If the number of maple trees was increased by 4 and the number of deodar trees remained unchanged, the ratio of the number of maple trees to the number of deodar trees in the lot would be 12 to 7.

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 value of x?

1. the square of x is 36

2. x (x-6) = 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

Q. A bucket was placed under a dripping tap which was dripping at a uniform rate. At what time was the bucket full?

1. The bucket was put in place at 2 pm.

2. The bucket was half full at 6 pm and three-quarters full at 8 pm on the same day.

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 piece of string meters long is cut into three pieces. What is the length of each of the pieces?

1. The length of one of the pieces is 20 cm.

2. The sum of the lengths of two of the pieces is equal to the length of the third piece.

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. There are 120 saplings to be planted in an orchard. Joy and Martin working together without a break can complete the job in six hours. How long would it take Joy working alone to complete the job?

1. Martin plants 3 saplings in the time it takes Joy to plant 2.

2. Martin working alone would take 10 hours to do the job.

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. Every pupil in a school was given one ticket for a concert. The school was charged a total of 6000 for these tickets, all of which were of equal value. What was the price of one ticket?

1. If the price of each ticket had been 1 less, the total cost would have been 1,200 less.

2. If the price of each ticket had been 2 more, the total bill would have increased by 40 % .

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 people are standing in the queue at the counter?

1. If four more people join the queue, the number in the queue will be more than 15.

2. If three people give up and leave the queue, the number remaining will be less than 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

Q. If n is a member of the set {33, 36, 38, 39,41, 42} , what is the value of n?

1. n is even.

2. n is a multiple of 3.

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. Prince deposited 4000 in her bank account at the beginning of the year. Determine the amount the funds accumulated to.

1. The bank offered 4.3 % interest rate.

2. The amount was deposited for a period of 5 years.

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 > 10?

(1) x > 9

(2) x > 11

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 > 10?

(1) x > 9

(2) x > 8

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 certain straight corridor has four doors, A, B, C and D (in that order) leading off from the same side. How far apart are doors B and C?

1. The distance between doors B and D is 10 meters.

2. The distance between A and C is 12 meters.

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 P and Q represent the hundreds and tens digits, respectively, in the four-digit number , is divisible by 8?

1. P = 4

2. Q = 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

Q. When a cookie is taken at random from a jar, what is the probability that it is chocolate flavored?

1. There are twice as many chocolate flavored cookies as there are almond flavored cookies in the jar.

2. One third of the cookies in the jar are almond flavored.

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. Yesterday it rained in New York. Did it rain in Moscow?

1. Whenever it rains in Moscow, it also rains in New York.

2. If it does not rain in Moscow, it does not rain in New York.

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