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Q:

A man sells Rs.5000, 12 % stock at 156 and uinvests the proceeds parity in 8 % stock at 90 and 9 % stock at 108. He hereby increases his income by Rs. 70. How much of the proceeds were invested in each stock?

A) 4000	B) 4200
C) 4002	D) 4020

Answer & Explanation Answer: B) 4200

Explanation:

S.P of Rs. 5000 stock = $R s . (\frac{156}{100} * 5000)$ = Rs. 7800.

Income from this stock = $R s . (\frac{12}{100} * 5000)$ = Rs. 600.

Let investment in 8 % stock be x and that in 9 % stock = (7800 - x).

Therefore,

$(x * \frac{8}{90}) + (7800 - x) * \frac{9}{108} = [600 + 70]$

$\frac{4 x}{45} + \frac{7800 - x}{12} = 670 \Leftrightarrow x = 3600$

Therefore, Money invested in 8 % stock at 90 = Rs. 3600.

Money invested in 9 % at 108 = Rs. (7800-3600) = Rs. 4200.

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Filed Under: Stocks and Shares

Q:

A man buys Rs. 25 shares in company which pays 9 % dividend. The money invested is such that it gives 10 % on investment. At what price did he buy the shares?

A) 22.50	B) 22
C) 20.45	D) 12.50

Answer & Explanation Answer: A) 22.50

Explanation:

Suppose he buys each share for Rs. x.

Then, $R s . (25 * \frac{9}{100}) = (x * \frac{10}{10})$ or x = Rs. 22.50.

Cost of each share = Rs. 22.50.

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Filed Under: Stocks and Shares

Q:

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :

A) 2/9	B) 1/9
C) 8/9	D) 7/9

Answer & Explanation Answer: B) 1/9

Explanation:

One person can select one house out of 3= $3 C_{1}$ ways =3.

Hence, three persons can select one house out of 3 in 3 x 3 x 3 =9.

Therefore, probability that all thre apply for the same house is 1/9

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Filed Under: Probability

Q:

If (i) M is brother of N; (ii) B is brother of N; and (iii) M is brother of D, then which of the following statements is definitely true ?

A) N is brother of B	B) N is brother of D
C) M is brother of B	D) D is brother of M

Answer & Explanation Answer: C) M is brother of B

Explanation:

M is the brother of N and B is the brother of N.

So, M is the brother of B

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Filed Under: Blood Relations

Q:

Find the cost of 96 shares of Rs. 10 each at $\frac{3}{4}$ discount, brokerage being 1/4 per share.

A) 912	B) 921
C) 920	D) 900

Answer & Explanation Answer: A) 912

Explanation:

Cost of 1 share = $R s . [(10 - \frac{3}{4}) + \frac{1}{4}] = R s \frac{19}{2}$

Cost of 96 shares = $R s . (\frac{19}{2} * 96)$ = Rs. 912.

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Filed Under: Stocks and Shares

Q:

Find the annual income derived by investing Rs. 6800 in 10% stock at 136.?

A) 250	B) 1500
C) 500	D) 50

Answer & Explanation Answer: C) 500

Explanation:

By investing Rs. 136, income obtained = Rs. 10.

By investing Rs. 6800, income obtained = $R s . \frac{10}{36} \times 6800$ = Rs. 500.

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Filed Under: Stocks and Shares

Q:

Find the cash realised by selling Rs. 2440, 9.5% stock at 4 discount (brokerage 1/4 %)

A) 2000	B) 2298
C) 2290	D) 2289

Answer & Explanation Answer: B) 2298

Explanation:

By selling Rs. 100 stock , cash realised = $R s . [(100 - 4) - \frac{1}{4}] = R s . \frac{383}{4}$

By selling Rs. 2400 stock, cash realised = $R s . (\frac{383}{4} * \frac{1}{100} * 2400)$ = Rs 2298.

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Filed Under: Stocks and Shares

Q:

Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?

A) 52/221	B) 55/190
C) 55/221	D) 19/221

Answer & Explanation Answer: C) 55/221

Explanation:

We have n(s) = $52 C_{2}$ 52 = 52*51/2*1= 1326.

Let A = event of getting both black cards

B = event of getting both queens

A∩B = event of getting queen of black cards

n(A) = $\frac{52 * 51}{2 * 1}$ = $26 C_{2}$ = 325, n(B)= $\frac{26 * 25}{2 * 1}$ = 4*3/2*1= 6 and n(A∩B) = $4 C_{2}$ = 1

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