How many of the integers between 110 and 120 are prime numbers?

In the question below, are given a statement followed by three courses of actions numbered I, II and III. On the basis of the information given, you have to assume everything in the statement to be true, and then decide which of the suggested courses of action logically follow(s) for pursuing. Statement: With just two days to go for the second edition of Amazon Prime Day, the e-commerce giant has been keeping its loyalists busy with a seven-day entertainment marathon. Started on July 10 with the release of Amitabh Bachchan starrer '102 Not Out', Amazon has been dropping one title every day for its Prime members. With Video and Music, Amazon clearly wants to showcase that Prime day is not merely about products. Courses of action: I. Building on the success of its previous sales, Amazon is gearing up for a bigger event, with extra perks for its Prime members in the form of quality video and music content - and not just early access and quicker deliveries. II. Started on July 3, Prime members who play three songs from the millions on Amazon Prime Music stand a chance to win an Echo Dot every day, with two winners announced daily. III. With Raazi and Transformers: The Last Night slated for release in the next two days, members already have access to Dunkirk, Telugu hit Officer as well as Prime Original show, Comicstaan - a reality TV show to find India's next stand-up comedy star.

A

Only III follows

B

Neither I nor III follows

C

None follows

D

All except III and II

E

All I, II and III follow

Which of the following is TRUE regarding prime numbers less than 100? A: Between any two consecutive prime numbers there cannot be more than 5 composite numbers. B: Among the prime numbers below 100, integers with the unit digit ‘3’ are maximum. C: Any number of the form n + n2 – 3 is always a composite number.

A

B only

B

Both A and C

C

C only

D

All A, B and C

Consider the following statements: (I) All prime numbers are odd numbers. (Il) There are only five single digit prime numbers. (Ill) There are infinitely many prime numbers. (IV) A prime number has only two factors. Which of the above statements are true?

A

(I) and (IV)

B

(II), (III) and (IV)

C

(III) and (IV)

D

(II) and (IV)

A, B, C, D and E are five different integers. When written in the ascending order of values, the difference between any two adjacent integers is 4. D is the greatest and A is the least. B is greater than E but less than C. The sum of the integers is equal to E. What is the positive difference between the lowest and the highest integers?

A

8

B

6

C

16

D

18

Study the following table carefully to answer the given question. Number of employees in different departments of five organisations Organisation → Department ↓ A B C D E HR 145 80 120 180 160 Finance 120 75 100 220 140 Marketing 150 90 115 200 190 IT 225 110 160 280 220 Administration 180 120 130 110 130 What is the ratio between the number of employees from Finance and Marketing departments together of organization B and these two departments together of organisation D respectively?

A

9 ∶ 11

B

11 ∶ 18

C

18 ∶ 11

D

11 ∶ 28

Let Z be the set of real integers and R the set of real numbers. The sampling process may be viewed as partitioning the x-y plane into a grid, with the central coordinates of each grid being from the Cartesian product Z2, that is a set of all ordered pairs (zi, zj), with zi and zj being integers from Z. Then, f(x, y) is a digital image if (x, y) are integers from Z2 and f is a function that assigns a gray-level value (that is, a real number from the set R) to each distinct coordinate pair (x, y). What happens to the digital image if the gray levels also are integers?

A

The Digital image then becomes a 2-D function whose coordinates and amplitude values are integers

B

The Digital image then becomes a 1-D function whose coordinates and amplitude values are integers

C

The gray level can never be integer

D

None of the mentioned

In the following question, three statements are given before the two conclusions I, II. Read the conclusions and decide which of the conclusions follow/s the statements. Statements: Some numbers are prime. Some numbers are co-prime. No is co-prime is Composite. Conclusions: I. Some prime is not Composite. II. Some Composite are prime.

A

Only conclusion I follows

B

Both conclusion I and conclusion II follow