GATE Questions

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Asian Development Bank (ADB) announced that it will assist the municipal agencies to improve quality of municipal schools through its School Excellence Programme (SEP).

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

log4928 = 12log77×4

= 12+122log72
= 12+log72
= 12 + m
= 1+2m2.

Since 653xy is divisible by 5 as well as 2, so y = 0.
Now, 653x0 must be divisible by 8.
So, 3x0 must be divisible by 8. This happens when x = 2
x + y = (2 + 0) = 2.

Given a2 + b2 = c2

Now  1logc+ab + 1logc-ab

= logbc+a + logbc-a

= logbc2-a2

= 2logbb = 2

A sweat equity share is an equity share issued by the company to employees or directors at a discount or for consideration other than cash for providing know-how or making available rights in the nature of intellectual property rights or value additions.

At present in 2017, there are only seven NPS fund managers viz. HDFC Pension Fund, ICICI Prudential Pension, Kotak Pension Fund, LIC Pension Fund,  Reliance Capital Pension, SBI Pension Fund and UTI Retirement Solutions.

Let S be the sample space.
Here n(S)= 23 = 8
Let E be the event of getting atmost two heads. Then,
n(E) = {(H,T,T), (T,H,T), (T,T,H), (H,H,T), (T,H,H), (H,T,H)}
Required probability = n(E)/n(S) = 6/8 = 3/4.