No Explaination.

(a + b√3) = [1 / (2 - √3)]

= [(2 + √3) / (2 - √3) (2 + √3)]……..(multiplying numerator and denominator by conjugate of denominator)

= [(2 + √3) / {(2)^{2} – (√3)^{2}}] …………(x – y) (x + y) = (x^{2} – y^{2})

= [ (2 + √3) / (4 – 3) ]

= ( 2 + √3)

Ã (a + b√3) = ( 2 + 1√3)

Ã a = 2, and b = 1

Ã a:b = 2:1

In a hospital, there are 200 employees working in two departments: Neurology and Cancer center. Each employee from each department knows one or more languages out of English, Hindi and Tamil. 45% of the employees belong to Neurology and the remaining employees belong to Cancer center.

Out of the employees in Neurology, doctors and nurses are in the ratio of 5:4. Out of the doctors in neurology, 16% know only English, 10% know only Hindi and 4% know only Tamil. 24% know English as well as Hindi, 20% know English as well as Tamil and 14% know Hindi as well as Tamil. The remaining doctors know all the three languages. Out of the nurses in neurology, 20% know only English, 10% know only Hindi and 10% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil and 10% know Hindi as well as Tamil. The remaining nurses know all the three languages.

Out of the employees in cancer center, doctor and nurse are in the ratio of 5:6. Out of the doctors in cancer center, 20% know only English, 16% know only Hindi and 4% know only Tamil. 18% know English as well as Hindi, 24% know English as well as Tamil, and 10% know Hindi as well as Tamil. The remaining doctors know all three languages. Out of the nurses in cancer center, 15% know only English, 15% know only Hindi and 5% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil, and 15% know Hindi as well as Tamil. The remaining nurses know all three languages.

How many employees working in neurology know only either English or Hindi?

Total employees = 200

NEUROLOGY

CANCER CENTER

Employees working in neurology know only English = 8 + 8 = 16

Employees working in neurology know only Hindi = 5 + 4 = 9

∴Employees working in neurology know only either English or Hindi = 16 + 9 = 25

Principle : Intentional application of force to another person is action able in law.

Facts : 'P' and 'D' are unknown to each other. When 'P' is about to sit on a chair, 'D' intentionally pulls it away as a result of which 'P' falls on the floor and is injured.

No Explaination.

400, 240, 144, 86.4, 51.84, 31.104, ?

18.6624

400 × 0.6 = 240

240 × 0.6 = 144

144 × 0.6 = 86.4

86.4 × 0.6 = 51.84

51.84 × 0.6 = 31.104

31.104 × 0.6 = 18.6624

Let the number be (10*x* + *y*), so when the digits of number are reversed the number becomes (10*y* + *x*).

According the question, (10*y* + *x*) – (10*x* + *y*) = 18

⇒ 9 (*y* – *x*) = 18 ⇒*y* – *x* = 2

So, the possible pairs of (*x, y*) are

(1, 3), (2, 4), (3, 5), (4, 6), (5,7), (6, 8) and (7,9).

But we want the number other than 13.

Thus, there are 6 possible numbers, *i.e., *24, 35, 46, 57, 68, 79.

So, total number of possible numbers are 6.

Directions: Study the following graph carefully and answer the questions given below:

Number of soldiers (in thousands) joining five different forces during six different years

The total soldiers joining BSF in the years 2010, 2012 and 2014 was approximately what per cent of the total number of soldiers joining Navy over all the years together?

Total soldiers joining BSF in the years 2010, 2012 and 2014

= (4.8+5.2+7.2) = 17.2 thousands

Total number of soldiers joining Navy over all the years

= (0.75+1.2+1.8+3.25+4.25+5.2) = 16.45 thousands

Required percentage = (17.2*100)/16.45 = 104.5 = 105%

No Explaination.

Following are the conditions for selecting a Senior Manager in a bank.

The candidate must –

(i) have passed class 12th with at least 60% marks.

(ii) be a graduate in any discipline with at least 55% marks.

(iii) be a post graduate in Management with specialization in Economic/Statistics with at least 60% marks.

(iv) have work experience of at least 2 years in a bank.

(v) be at least 25 years and not more than 35 years as on 01-03-2016.

(vi) cleared written examination with at least 50% marks

(vii) cleared personal interview with at least 40% marks

In the case of candidate who fulfills all conditions except –

(a) at (iii) above, but has secured at least 60% marks in CA, the case is to be referred as VP.

(b) at (vii) above, but has cleared written examination with at least 60% marks and personal interview with at least 35% marks, his case to be referred as President.

In each question below, details of a candidate are provided followed by a question and 5 courses of action. Select the course of action that applies to the person’s candidature.

Karan has secured 65% in B.Com and 70% marks in M.Com Economics. He has been working in a bank as officer for the past 3 years after completing his post-graduation. He secured 55% marks in the written examination and 50% marks in the personal interview. He was born on July 8, 1988.

His class 12 marks are not given, so data inadequate

Direction: Study the given information carefully and answer the questions that follow:

A basket contains 5 red, 4 blue, 3 green stones.

If two stones are picked at random, what is the probability that both are blue?

Probability if both is blue