The number of bacteria in a colony was growing exponentially . At 1 pm yesterday the number of bacteria was 1000 and at 3 pm yesterday it was 4000. How many bacteria were there in the colony at 6 pm yesterday ?

What was the average weight of all the persons in the colony? Statement I: There are total 40 persons in the colony. Statement II: If 3 persons whose average weight is 56.5 kg left the colony and 3 new persons whose total weight is 137.5 kg joined the colony then the average weight of all the persons in the colony decreases by 0.8 kg.

A

Statement II alone is sufficient to answer the question.

B

Either statement I or statement II alone is sufficient to answer the question.

C

Both Statements I and II together are not sufficient to answer the question.

D

Statements I and II together are required to answer the question.

E

Statement I alone is sufficient to answer the question.

Which one of the following four addresses is NOT EXACTLY the same as the one given below? Nusrat Jahan 138 F, Pragya colony Meena street West bengal i. Nusrat Jahan 138 F, Pragya colony Meena street West bengal ii. Nusrat Jahan 138 F, Pragya colony Meena street West bengal iii. Nusrat Jahan 130 F, Pragya colony Meena street West bengal iv. Nusrat Jahan 138 F, Pragya colony Meena street West bengal

A

ii

B

iii

C

iv

D

i

What is the use of biochar in farming? 1. Biochar can be used as a part of the growing medium in vertical farming. 2. When biochar is a part of the growing medium, it promotes the growth of nitrogen-fixing microorganisms. 3. When biochar is a part of the growing medium, it enables the growing medium to retain water for longer time. Which of the statements given above is/are correct?

A

1 and 2 only

B

2 only

C

1 and 3 only

D

1, 2 and 3

Workmen arrive at a mine workshop to receive tools for maintenance. The inter-arrival time of workmen at the service counter is exponentially distributed with an average time of 10 min. The service time at the counter is also distributed exponentially with a mean time of 6 min. The probability that there is a queue (more than one workman) at the service counter is,

A

0.24

B

0.36

C

0.40

D

0.60

A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :

A

$$\frac{{{3^{10}}}}{2}$$

B

3¹⁰ - 2¹⁰

C

243 × (3⁵ -1)

D

3¹⁰ - 2⁵

E

None of these

The ratio of number of children, women and men in colony is 6 : 4 : 3 respectively and the colony has at least 200 members. What will be minimum number of children in the colony?

A

48

B

72

C

64

D

96

The ratio of number of children, women and men in colony is 6 : 4 : 3 respectively and the colony has at least 200 members. What could be the minimum number of women in the colony?

A

75

B

80

C

64

D

20

In a survey of 900 students, 400 students were interviewed in TCS, 310 students were interviewed in IBM and 470 students were interviewed in Infosys. Also, 110 students were interviewed in both TCS and IBM, 80 students were interviewed in both IBM and Infosys and 140 students were interviewed in both TCS and Infosys. If 50 students were interviewed in all three companies. Then, how many students were interviewed in only TCS?

A

180

B

200

C

220

D

210

E

None of these

The question is given below consist of a question followed by three statements labeled as I, II and III. You have to decide whether these statements give enough information required to answer the question or not. Ten people P, Q, R, S, T, U, V, W, X and Y were born on ten different dates 5, 7, 9, 12, 13, 15, 18, 21, 23 and 27 of the same month but not necessarily in the same order. I. Q and T were born on an even numbered date. W was born on 7 and U was born after W. Only five people were born between R and T. Y was born on 23. P is the eldest person. II. V was born on 13 and T on 12. Neither S nor Q was born on 27. Only six people were born between P and X. and P is the eldest person. There are as many people between T and Q as between Q and R. III. P is the eldest and R is the youngest person. Only six people were born between W and Y. If the dates on which T and S were born are added, the resultant will give the date on which X was born. When was X born?

A

If Statement I is alone sufficient to answer the question.

B

If Statement II is alone sufficient to answer the question.

C

If Statement III is alone sufficient to answer the question.

D

Either II or III is alone sufficient.

E

Insufficient data.

The noise level in Dhaka city has increased "exponentially". Here the "exponentially" word means----

A

amazingly

B

shockingly

C

stesdily

D

rapidly

The number of bacteria in a colony was growing exponentially . At 1 pm yesterday the number of bacteria was 1000 and at 3 pm yesterday it was 4000. How many bacteria were there in the colony at 6 pm yesterday ?

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