Exams Questions and Answers

Q:

The degree of dissociation ( $α$ ) of a weak electrolyte, $A_{x} B_{y}$ is related to van't Hoff factor (i) by the expression:

$1 . α = \frac{x + y + 1}{i - 1}$

$2 . α = \frac{x + y - 1}{i - 1}$

$3 . α = \frac{i - 1}{x + y + 1}$

$4 . α = \frac{i - 1}{x + y - 1}$

A) 1 is correct	B) 2 is correct
C) 3 is correct	D) 4 is correct

Answer & Explanation Answer: D) 4 is correct

Explanation:

Van't Hoff factor (i) = $\frac{O b s e r v e d C o l l i g a t i v e P r o p e r t y}{N o r m a l C o l l i g a t i v e P r o p e r t y}$

$\begin{matrix} A_{x} B_{y} \\ 1 - α \end{matrix} \to \begin{matrix} x A^{+ y} \\ x α \end{matrix} + \begin{matrix} y B^{- x} \\ y α \end{matrix}$

Total Moles = $1 - α + x α + y α$ = $1 - α (x + y - 1)$

$i = \frac{1 + α (x + y - 1)}{1}$

$\Rightarrow α = \frac{i - 1}{x + y - 1}$

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Filed Under: Chemistry
Exam Prep: AIEEE

6 8077

Q:

Asia’s largest tulip garden is ?

A) Rock Garden	B) Brindavan Garden
C) Yadavindra Gardens	D) Indira Gandhi Memorial Tulip garden

Answer & Explanation Answer: D) Indira Gandhi Memorial Tulip garden

Explanation:

Indira Gandhi Memorial Tulip garden, previously Model Floriculture Center, is a tulip garden in Srinagar, India. It is the largest tulip garden in Asia spread over an area of about 12 hectares. It is situated on the foothills of Zabarwan Range with an overview of Dal Lake. The garden was opened in 2007 with the aim to boost floriculture and tourism in kashmir valley.

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Filed Under: Famous Places
Exam Prep: Bank Exams

11 8077

Q:

K and L start the business, with L investing the total capital of Rs. 40,000 on the condition that K pays L interest @ 8% per annum on his half of the capital. L is a working partner and receives Rs.1200 per month from the total profit and any profit reamaining is equally shared by both of them. At the end of the year, it was found that the income of L is twice that of K. Find the total profit for the year ?

A) Rs.44000	B) Rs.46400
C) Rs.480800	D) Rs.46000

Answer & Explanation Answer: B) Rs.46400

Explanation:

Interest received by L from K = 8% of half of Rs.40,000

$\Rightarrow \frac{8}{100} \times 20000 = 1600$

Amount received by L per annum for being a working partner = 1200 x 12 = Rs.14,400

Let 'A' be the part of remaing profit that 'L' receives as his share.

Total income of 'K' = only his share from the reamaing profit

= 'A', as both share equally.

Given income of L = Twice the income of K

--> (1600 + 14400 + A ) = 2A

--> A= Rs.16000

Thus total profit = 2A + Rs.14,400= 2(16000) + 14400

= 32000 +14400 = Rs.46,400.

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Filed Under: Partnership
Exam Prep: CAT
Job Role: Bank PO

13 8069

Q:

P, Q and R start simultaneously from A to B. P reaches B, turns back and meet Q at a distance of 11 km from B. Q reached B, turns back and meet R at a distance of 9 km from B. If the ratio of the speeds of P and R is 3:2, what is the distance between A and B ?

A) 99	B) 100
C) 89	D) 1

Answer & Explanation Answer: A) 99

Explanation:

Let, Distance between A and B = d

Distance travelled by P while it meets Q = d + 11

Distance travelled by Q while it meets P = d – 11

Distance travelled by Q while it meets R = d + 9

Distance travelled by R while it meets Q = d – 9

Here the ratio of speeds of P & Q => SP : SQ = d + 11 : d – 11

The ratio of speeds of Q & R => SQ : SR = d + 9 : d – 9

But given Ratio of speeds of P & R => P : R = 3 : 2

$\frac{S P}{S R} = \frac{S P}{S Q} x \frac{S Q}{S R} = \frac{(d + 11) (d + 9)}{(d - 11) (d - 9)}$

=> $\frac{(d + 11) (d + 9)}{(d - 11) (d - 9)}$ = 3/2

=> d = 1, 99

=> d = 99 satisfies.

Therefore, Distance between A and B = 99

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Filed Under: Time and Distance
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

16 8066

Q:

The price of an article has been reduced by 35%. In order to restore the original price the new price must be increased by ?

A) 51.8 %	B) 49.25 %
C) 47.2 %	D) 53.84 %

Answer & Explanation Answer: D) 53.84 %

Explanation:

100
65
-------
65 ------- 35
100 ------ ? => 53.84 %

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

6 8066

Q:

Study the bar chart and answer the questions based on it.

Production of Pesticides by Coromandal International Ltd. Company (in 1000 tonnes)

The average production of 1996 and 1997 was exactly equal to the average production of which of the following pairs of years?

A) 2000 and 2001	B) 1999 and 2000
C) 1998 and 2000	D) 1995 and 2001

Answer & Explanation Answer: D) 1995 and 2001

Explanation:

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Filed Under: Bar Charts
Exam Prep: Bank Exams

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Q:

One third of a Number is 96. What will 67% of that Number be?

A) 192.96	B) 181.44
C) 169.92	D) 204.48

Answer & Explanation Answer: A) 192.96

Explanation:

Let the Number be x.

Given that one third of a Number is 96.

i.e x = 3 x 96 = 288.

67% of x = $\frac{x \times 67}{100} = \frac{288 \times 67}{100} = 192.96$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

3 8065

Q:

What is the Probability of all cars not clashing each other ?

triangular1504515041.jpg image

A) 1/8	B) 0
C) 1/4	D) 1

Answer & Explanation Answer: C) 1/4

Explanation:

Non collision can happen only when all the cars move in same direction.

That is either all cars moving in clockwise direction or all cars moving in anti clockwise direction.
P(all cars not colliding)

= P(all cars moving in the same direction)

= P(all cars moving in clockwise direction) + P(all cars moving in anticlockwise direction)

= [p(A --> C) x p(C --> B) x p(B --> A)] + [p(A --> B) x p(B --> C) x p(C --> A)]

= [1/2 x 1/2 x 1/2] + [1/2 x 1/2 x 1/2]

= 1/8 + 1/8

= 1/4

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Filed Under: Math Puzzles
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

18 8059

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