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12500 shares, of par value Rs. 20 each, are purchased from Ram by Mohan at a price of Rs. 25 each. If Mohan further sells the shares at a premium of Rs. 11 each, find his gain in the transaction.
  • a)
    Rs. 75000
  • b)
    Rs. 70000
  • c)
    Rs. 85000
  • d)
    Rs. 65000
Correct answer is option 'A'. Can you explain this answer?

Kiran Reddy answered
Face value of each share = Rs.20
Market value of each share = Rs.25
Number of shares = 12500
Amount required to purchase the shares = 12500 × 25 = 312500
Mohan further sells the shares at a premium of Rs. 11 each
ie, Mohan further sells the shares at Rs.(20+11) = Rs.31 per share
total amount he gets by selling all the shares = 12500 × 31 = 387500
His gain = 387500 - 312500
 = Rs.75000
 

Find the annual dividend received by Nishita from 1200 preferred shares and 3000 common shares both of par value Rs. 50 each if the dividend paid on preferred shares is 10% and semi-annual dividend of 3½ % is declared on common shares.
  • a)
    Rs. 18500
  • b)
    Rs. 16500
  • c)
    Rs. 14500
  • d)
    Rs. 19500
Correct answer is option 'B'. Can you explain this answer?

Kiran Reddy answered
Total number of preferred shares = 1200
Face value = Rs.50
dividend paid on preferred shares is 10%
Dividend per share = 50 × 10/100 = Rs.5
Total Dividend = 1200 × 5 = 6000
Total number of common shares = 3000
Face value = Rs.50
Semi-annual dividend of 3½ % is declared on common shares.
semi-annual dividend per share = 
50 × 7/2 × 100 = Rs.7/4
Total semi-annual dividend = 7/4 × 3000 = Rs.5250
annual dividend = Rs.5250 × 2 = Rs.10500
Total dividend on all all shares(preferred and common) = 6000 + 10500 
= Rs.16500
 

Which is better investment: 11% stock at 143 or 9(3/4%) stock at 120?
  • a)
    9(3/4%) stock at 117
  • b)
    Cannot be compared, as the total amount of investment is not given.
  • c)
    11% stock at 143
  • d)
    Both are equally good
Correct answer is option 'A'. Can you explain this answer?

Asha Saha answered
 Let investment in each case be Rs. (143 x 117).
Income in 1st case = Rs.11/143 x 143 x 117 = Rs. 1287.
Income in 2nd case = Rs.39/(4×117) x 143 x 117= Rs. 1394.25
Clearly, 9 3/4% stock at 117 is better.

A man invested Rs.1552 in a stock at 97 to obtain an income of Rs.128. What is the dividend from the stock?
  • a)
    9.7%
  • b)
    7.5%
  • c)
    8%
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Kaavya Kumar answered
Solution:

Let's assume the dividend from the stock is x%.

Given:
- Amount invested = Rs. 1552
- Income obtained = Rs. 128
- Cost price of stock = Rs. 97

Calculating the dividend:
We know that dividend is calculated as the ratio of income obtained to the amount invested, multiplied by 100.

Dividend = (Income Obtained / Amount Invested) * 100

Substituting the given values, we have:
Dividend = (128 / 1552) * 100
Dividend = 8.24%

Therefore, the dividend from the stock is 8.24%.

Answer:
The correct option is (c) 8%.

A man invests some money partly in 12% stock at 105 and partly in 8% stock at 88. To obtain equal dividends from both, he must invest the money in the ratio:
  • a)
    31 : 44
  • b)
    31 : 27
  • c)
    16 : 15
  • d)
    35 : 44
Correct answer is option 'D'. Can you explain this answer?

Rajesh Rane answered
In case of stock1, if he invest Rs.105, he will get a dividend of Rs.12 (assume face value = 100)

In case of stock2, if he invest Rs.88, he will get a dividend of Rs.8 (assume face value = 100)

ie, if he invest Rs.(88*12)/8, he will get a dividend of Rs.12

Required ratio = 105 : (88 × 12)/8 = 105 : (11 × 12) = 35 : (11 × 4) = 35 : 44

Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
  • a)
    Rs. 4800
  • b)
    Rs. 5400
  • c)
    Rs. 5000
  • d)
    Rs. 5600
Correct answer is option 'C'. Can you explain this answer?

Sankar Menon answered
Let the investment in 9% stock be Rs.x        Then,investment in 10% stock    = Rs.(9800−x)        
9/75 × x = 10/80 × (9800−x)        
⇒ 3x/25 = (9800−x)/8
⇒24x = 9800 × 25 − 25x        
⇒ 49x = 9800×25        
⇒x = 5000

Anu invested Rs. 32400 in 8% stock at 90. She sold out Rs. 18000 stock when the price rose to Rs 95 and the remaining stock at Rs.98. She invested the total sale proceeds in 10% stock at 96½. Find the change in income of Anu.
  • a)
    Rs.2220
  • b)
    Rs.120
  • c)
    Rs.2720
  • d)
    Rs.720
Correct answer is option 'D'. Can you explain this answer?

Saranya Ahuja answered
Since the face value of the stock is not given, we can take it as Rs.100
it is an 8% stock. ie, dividend per stock = Rs.8
Total investment = Rs.32400
Market Value = Rs.90
Amount of stock she purchased = (32400×100)/90 = Rs.36000
Number of shares she purchased = 32400/90 = 360
Total income = 360 × 8 = Rs.2880
She sold out Rs. 18000 stock when the price was Rs.95
Amount received by selling Rs.18000 stock at Rs.95 = (18000×95)/100 = Rs.17100
Amount received by selling remaining Rs.18000 stock at Rs.98 = (18000×98)/100 = Rs.17640
Total amount received = Rs. (17100 + 17640) = Rs. 34740
This Rs.34740 is invested in 10% stock at 96½
Number of shares = 34740*(193/2) = 360
Total income from these stocks = 360 × 10 = Rs.3600
Change in income = Rs.3600 - Rs.2880 = Rs.720
 

Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for "Stocks and Shares" under Logical Reasoning and Data Interpretative. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.
Q.
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. What is the market value of each share?
  • a)
    Rs.12
  • b)
    Rs.18`
  • c)
    Rs.15
  • d)
    Rs.21
Correct answer is option 'C'. Can you explain this answer?

Abhay Gupta answered
**Given Information:**
- The man buys Rs. 20 shares.
- The shares pay a dividend of 9%.
- The man wants to have an interest of 12% on his money.

**To find:**
The market value of each share.

**Solution:**
Let's assume the market value of each share is 'x' rupees.

**Step 1: Calculate the dividend received:**
The dividend received on each share is given as 9% of the market value.

Dividend = (9/100) * x

**Step 2: Calculate the interest received:**
The man wants to have an interest of 12% on his money. So, the interest received will be 12% of the money invested.

Interest = (12/100) * 20

**Step 3: Equate dividend and interest:**
Since the dividend received should be equal to the interest received, we can equate the two values.

(9/100) * x = (12/100) * 20

Simplifying the equation:

(9/100) * x = (12/100) * 20

9x = 12 * 20

9x = 240

x = 240/9

x ≈ 26.67

**Step 4: Round off the market value:**
Since the market value of shares cannot be in decimal places, we need to round off the value.

Rounding off x to the nearest integer, the market value of each share is approximately Rs. 27.

**Conclusion:**
The market value of each share is approximately Rs. 27.

Therefore, the correct answer is option 'C' - Rs. 15.

A man invested Rs. 26000 in 5% stock at 104. He sold the stock when the price rose to Rs. 120 and invested the sale proceeds in 6% stock. By doing this his income increased by Rs. 2500. At what price did he purchase the second stock?
  • a)
    Rs. 125
  • b)
    Rs. 48
  • c)
    Rs. 24
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Dipika Sarkar answered
Assuming that face value of the first stock = Rs.100 as it is not given in the question
Since it is a 5% stock, we can take the dividend per stock = Rs.5
Market Value of the first stock = Rs.104
Investment on the first stock = Rs.26000
Number of stocks purchases = 26000/104 = 250
His total income from all these stocks = Rs.250 × 5 = Rs.1250
He sells each of this stock at Rs.120
ie, amount he earns = Rs.120 × 250 = Rs.30000
He invest this Rs.30000 in 6% stock (here also face value is not given and hence take it as Rs.100)
His new income = Rs.(1250 + 2500) = Rs.3750
ie, By Rs.30000 of investment , he earns an income of Rs.3750
To get an income of Rs.6, investment needed = (30000 × 6)/3750 = Rs.48

A 14% stock yielding 8% is quoted at:
  • a)
    Rs. 125
  • b)
    Rs. 83.33
  • c)
    Rs. 120
  • d)
    Rs. 175
Correct answer is option 'D'. Can you explain this answer?

Pragati Mehta answered
Assume that face value = Rs.100 as it is not given
To earn Rs.8, money invested = Rs.100
To earn Rs.14, money invested = 
100 ×14 / 8= Rs.175
ie, market value of the stock = Rs.175

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