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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 = Rs.156100*5000= Rs. 7800. 

 

Income from this stock = Rs.12100*5000 = Rs. 600.  

 

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

 

Therefore,  

 

x*890+7800-x*9108=600+70  

 

4x45+7800-x12=670x=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, Rs.25*9100=x*1010 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= 3C1 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 34 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  =Rs.10-34+14=Rs192  

 

Cost of 96 shares  = Rs.192*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 = Rs.1036×6800 = 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 = Rs.100-4-14=Rs.3834  

 

By selling Rs. 2400 stock, cash realised =Rs.3834*1100*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) =52C2 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) = 52*512*1 = 26C2 = 325, n(B)= 26*252*1= 4*3/2*1= 6  and  n(A∩B) = 4C2 = 1 

P(A) = n(A)/n(S) = 325/1326;

P(B) = n(B)/n(S) = 6/1326 and 

P(A∩B) = n(A∩B)/n(S) = 1/1326 

P(A∪B) = P(A) + P(B) - P(A∩B) = (325+6-1) / 1326 = 330/1326 = 55/221

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Filed Under: Probability