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One bacterium splits into eight bacteria of the next generation. But due to environment, only 50% of one generation can produced the next generation. If the seventh generation number is 4096 million, what is the number in first generation?

Correct Answer: 1 million
Let the number of bacteria in the 1st generation be x, then number of bacteria in 2nd, 3rd, 4th . . . . . Generation would be$$8\left( {\frac{{\text{x}}}{2}} \right),\,8\left( {\frac{{4{\text{x}}}}{2}} \right),\,8\left( {\frac{{16{\text{x}}}}{2}} \right)$$     . . . . And so on.As x, 4x, 16x, 64x . . . . . it is in GP with common ratio 4Hence, 7th term of GP, x(4)6 = 4096or, x = 1 or 1 million.

GDP is $10 million, consumer spending is $6 million, government spending is $3 million, exports are $2 million, and imports are $3 million. How much is spent for investments?

Which of the following statements is not true about a splitting rule at internal nodes of the tree based on thresholding the value of a single feature? , where i ∈ is the index of the relevant feature b) It move to the right or left child of the node on the basis of 1, where ϑ ∈ R is the threshold c) Here a decision tree splits the instance space, X = Rd, into cells, where each leaf of the tree corresponds to one cell d) Splits based on thresholding the value of a single feature are also known as multivariate splits

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 :

Two splits A and B are ventilated from an intake airway. Resistances of the splits are 0.5 Ns2m-8 and 0.8 Ns2m-8 respectively. A regulator is placed in split B to maintain a flow of 15 m3/s and 10 m3/s in splits A and B respectively as shown in the figure. The size of the regulator in m2 is
Mine Ventilation mcq question image

Read the passage carefully and choose the best answer to each question out of the four alternatives.
Eight north Indian Ocean countries, namely, Bangladesh, India, the Maldives, Myanmar, Oman, Pakistan, Sri Lanka and Thailand, were asked to contribute names so that a combined list could be compiled. Each country gave eight names and a combined list of 64 names was prepared. This list is currently in use, and all cyclones arising in the north Indian Ocean are named from this list, with one name from each country being used in turn. Almost 38 or 39 names from the list have been used up, but since many cyclones dissipate long before they hit land, their names rarely figure in the papers or other media. The names that people do know about, and remember are, naturally, those that were most destructive ones, or very recent. Aila, in 2009 is remembered with a shudder for the enormous destruction it caused in West Bengal and Bangladesh; Phaillin, also for the damage it caused when it hit the Odisha coast in 2013. Two harmless cyclones, which also might remain in peoples memory, are the more recent ones of 2014 — Hudhud, which threatened the east coast of India and Nilofar, which was expected to, but did not, devastate the western coast. The names in the cyclone list are usually words one associates with storms; words which mean water or wind or lightning in various national languages. Sometimes they are names of other things — birds or flowers or precious stones. The name Aila, contributed by the Maldives means fire, the name Phaillin from Thailand means sapphire, the name Hudhud from Oman is the name of a bird, probably the hoopoe, and the name Nilofar, given by Pakistan, is the Urdu name of the lotus or water lily. The eight names suggested by India, and which are in the list of 64, are Agni, Akaash, Bijli, Jal, Leher, Megh, Sagar and Vayu, meaning in that order, fire, sky, lightning, water, wave, cloud, sea and wind. Five of these names (that is, up to Leher) have been used so far.
For the next cyclone if it is the turn of an Indian name to be chosen, then what will be that name?

A man has 'n' magical eggs whose average weight is 'k' gm. Each of the 'n' eggs produces 'n' eggs next day such that the average weight of 'n' eggs produced is same as that of the parental egg for each 'n' groups individually i.e. each egg produces 'n' eggs of next generation and average weight of all the 'n' eggs of next generation is same as the weight of the mother egg. This process is continued without any change in pattern. What is the total weight of all the eggs of rth generation, where the initial number of eggs with man are considered as the eggs of first generation.

S1:Biological evolution has not fitted man to any specific environment.
P :It is by no means a biological evolution, but it is a cultural one.
Q :His imagination, his reason, his emotional subtlety and toughness, makes it possible for him not to accept the environment but to change.
R :And that series of inventions by which man from age by age has reshaped his environment is a different kind of evolution.
S :Among the multitude of animals which scamper, burrow swim around us he is in the only one who is not locked in to his environment.
S6:That brilliant sequence of cultural peaks can most appropriately be termed the ascent of man.

The Proper sequence should be:

If $$\sqrt {{\text{4096}}} $$  = 64, then the value of $$\sqrt {{\text{40}}{\text{.96}}} $$   $$ + $$ $$\sqrt {{\text{0}}{\text{.4096}}} $$   $$ + $$ $$\sqrt {{\text{0}}{\text{.004096}}} $$    $$ + $$ $$\sqrt {{\text{0}}{\text{.00004096}}} $$     up to two place of decimals is = ?

A company reports sales revenue of Tk. 200 million the current year and Tk. 180 million last year. Their total assets in the current year are Tk. 150 million and last year's total assets were Tk. 130 million . What is the current year's asset turnover ratio ?

Ratan and Moinul have started a business investing taka 2.5 million and 3.5 million respectively. After 4 months Ratan gave in 5 lakh taka more while Moinul withdrew 5 lakh taka. If the year ending profit is 12.92 million taka what will be the profit share of Moinul in million taka?