Mohit is a teacher and he teach some students in two (Morning & evening) slots. There are 5 boys and ‘x’ girls in morning slot, while there are ‘x’ boys and 8 girls in evening slot. If one student is chosen at random from any slot, then the probability of being girl is 5/9. Which of the following can be the value of ‘x’?
I. 10
II. 4
III. 3
IV. 5
V. 6
Probability for being girl from morning slot = (1/2) × (x/(x+5)) Probability for being girl from evening slot = (1/2) × (8/(x+8)) ATQ – 1/2 [x/(x+5)+(8/(x+8))]=5/9 10/9=(x(x+8)+8(x+5))/(x+8)(x+5) 10/9=(x2+8x+8x+40)/(x2+13x+40) 10x2+130x+400=9x2+144x+360 x2–14x+40=0 x2–10x–4x+40=0 x(x –10) –4(x –10)=0 x=10,4 So, both I and II follow
National Housing Bank (NHB) and Indian Railway Finance Corporation (IRFC) have raised funds worth a total of ₹4,500 crore through sales of three-year ...
Consider the following statements
1. Railways budget is presented together with the Union budget from financial year 2017-18.
2. The ...
Consider the following statements.
1. Owing to Covid-19 pandemic, India lost its dominance in the world services trade in FY22.
2. Softwar...
The capital asset pricing model (CAPM) suggest that, the cost of equity is a trade-off between :
The preparation of a trial balance is for:
The Tata Group signed an outline deal with which state government for building a lithium-ion cell factory with an investment of about Rs 13,000 crore ($...
A bank finds it difficult to repay the short term deposits on maturity because the funds of the bank are locked in ____
Which FYP was based on the Ashok Rudra Menon Model?
With reference to Millets, consider the following statements:
1. The United Nations General Assembly, in its 75th session during March 2...
Collateralized Borrowing and Lending obligation is a money market instrument for the benefit for entities not having access to the interbank call money ...