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Q:

'Equity schemes managed strong NAV gains, which boost their assets' was a news in some financial newspapers. What is the full form of the term NAV as used in above head lines ?

A) Nil Accounting Variation B) New Asset Venture
C) Net Accounting Venture D) Net Asset Value
 
Answer & Explanation Answer: D) Net Asset Value

Explanation:

Net asset value (NAV) is value per share of a mutual fund or an exchange-traded fund (ETF) on a specific date or time. It  is the value of an entity's assets minus the value of its liabilities, often in relation to open-end or mutual funds, since shares of such funds registered with the U.S. Securities and Exchange Commission are redeemed at their net asset value.

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Q:

Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ?

A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 B) Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
C) Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840 D) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940
 
Answer & Explanation Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840

Explanation:

Initial investment of Ram = Rs.2500.
After 2 months he withdraw Rs.1250 from his capital.
Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months.

Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months.

And, Rakesh invested Rs.3500 for 3 months;

Their investing ratio:
Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)
= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42

Total profit for 6 months = Rs.2540
Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800
Raj's share = Rs.(2540 x 45/127) = Rs.900
Rakesh's share = Rs.(2540 x 42/127) = Rs.840

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Q:

Each of the following series of statements is followed by four sets. Identify the set that is logically consistent.
(a) The gap between the average starting salaries of teachers and those of other professionals has shrunk in recent years.
(b) The average age of first year teachers is same as it was in 1975.
(c) Starting teachers are no longer underpaid.
(d) The extent of a persons formal education is a measure by which to determine his level of salary.
(e) Over the last few years, the average starting salaries of other professionals have increased by 20%

A) e,b,d B) e,d,b
C) a,c,b D) a,e,c
 
Answer & Explanation Answer: D) a,e,c

Explanation:

The statements  a,e,c  are logically sequenced.

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Q:

Who was appointed as new Brand Ambassador for Swachh Bharat Mission in 2017 ?

A) Priyanka Chopra B) Shilpa Shetty
C) Kangana Ranaut D) Anushka Sharma
 
Answer & Explanation Answer: B) Shilpa Shetty

Explanation:

The government has roped in actress Shilpa Shetty as a brand ambassador for the Modi government's cleanliness initiative Swachh Bharat Mission.

The 41-year-old actress will feature in TV and radio campaigns aimed at discouraging people from littering on roads. Soon, campaign posters featuring her will be displayed at various places across the country.

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Q:

Who is named as 'Captain of the year' in the 10th annual ESPNcricinfo Awards ?

A) Quinton de Kock B) Hayley Williams
C) Ben Stokes D) Virat Kohli
 
Answer & Explanation Answer: D) Virat Kohli

Explanation:

Indian international cricketer Virat Kohli has named as the 'Captain of the Year' at the 10th annual ESPNcricinfo Awards. Kohli led India to nine wins out of 12 Tests in the year 2016.

♦ The ESPNcricinfo awards honour the best batting and bowling performances across the international formats of the game in the preceding calendar year.
♦ This year ESPNcricinfo introduced awards for women’s cricket across all three international formats.

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Q:

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A) 12,421 B) 9,423
C) 11,600 D) 10,500
 
Answer & Explanation Answer: D) 10,500

Explanation:

The ratio of their investments:
50000x36 : 80000x30 = 3 : 4
Simran's share of profit = (24500x3/7) = Rs.10,500.

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Q:

Statement: There has been a significant drop in the water level of all the lakes supplying water to the city.
Courses of action:
I. The water supply authority should impose a partial cut in supply to tackle the situation.
II. The government should appeal to all the residents though mass media for minimal use of water.

A) Only I follows B) Only II follows
C) Both I & II follows D) Neither I nor II follows
 
Answer & Explanation Answer: C) Both I & II follows

Explanation:

The situation can be tackled by periodic cuts in supply, and urging people to conserve water. So both the courses follow.

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Q:

Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 

A) 14.69 cm B) 15.69 cm
C) 18.65 cm D) 16.42 cm
 
Answer & Explanation Answer: B) 15.69 cm

Explanation:

circle11487663359.jpg image

Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC
perpendicular to both chords. That divides the two chords in half.
So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.
We are given that BC = 5, the distance between the two chords. Let
OB = x.

We use the Pythagorean theorem on right triangle ABO

AO² = AB² + OB²
r² = 14² + x²

We use the Pythagorean theorem on right triangle DCO

DO² = CD² + OC²

We see that OC = OB+BC = x+5, so

r² = 10² + (x+5)²

So we have a system of two equations:

r² = 14² + x²
r² = 10² + (x+5)²

Since both left sides equal r², set the right sides
equal to each other.

14² + x² = 10² + (x+5)²
196 + x² = 100 + x² + 10x + 25
196 = 125 + 10x
71 = 10x
7.1 = x

r² = 14² + x²
r² = 196 + (7.1)²
r² = 196 + 50.41
r² = 246.41
r = √246.41
r = 15.69745202 cm

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