STATISTICS MCQS
Statistics Past Paper and other MCQs
پی ڈی ایف میں ڈنلوڈ کرنے کے لیےاس لنک پر کلک کریں۔
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چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
25
40
50
60
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Explanation
P/E Ratio = Market Price per Share ÷ Earnings per Share
= 500 ÷ 10
= 50
Last updated on 25-08-2026 by NS
29
30
31
None of these
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Explanation
Mean = Sum of all numbers / Total count of numbers
Given data: 14, 24, ____, 18, 30
Total numbers = 5
Mean = 23
So, Sum of all numbers = Mean × Total count = 23 × 5 = 115
Let the missing number be x
14 + 24 + x + 18 + 30 = 115
86 + x = 115
x = 115 - 86
x = 29
Last verified on 24-08-2026
پاکستان میں پبلک ایڈمنسٹریشن کی تعلیم بنیادی طور پر کن نظاموں سے متاثر ہوئی ہے؟
French and German systems
British and American systems
Chinese and Russian systems
Japanese and Indian systems
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Explanation
Public administration education and training in Pakistan have been primarily influenced by: t he British colonial administrative framework the American public administration model I ntroduced during the 1950s and 1960s.
5%
7%
9%
12%
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Explanation
Given:
Dividend (D₀) = Rs. 4
Market Price (P₀) = Rs. 100
Growth rate (g) = 5%
Step 1: Calculate next year’s dividend
D₁ = D₀ × (1 + g)Rs. 4.20
Step 2: Use the Gordon Growth Model
Required Return:
K e = D 1/ P 0 + g
K e = 4.20/ 100 + 0.05
K e = 0.042 + 0.05 = 0.092
K e = 9.2% ≈ 9%
Rs. 35,000
Rs. 39,727
Rs. 45,000
Rs. 50,000
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Explanation
For an ordinary annuity:
P V = PMT × 1 − ( 1 + r ) − n/r
PMT = Rs. 4,000
r = 8% = 0.08
n = 20 years
PV ≈ Rs. 39,727
اگر بانڈ اپنی اصل قیمت سے زیادہ قیمت پر فروخت ہو رہا ہو تو کون سا بیان درست ہے؟
YTM is higher than the coupon rate
YTM is equal to the coupon rate
YTM is lower than the coupon rate
YTM is unrelated to the coupon rate
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Explanation
When a bond sells for more than its par value, it is trading at a premium. This occurs because the b ond's fixed interest payments (the coupon rate) are higher than the current market interest rate (the yield to maturity, or YTM). Investors are willing to pay extra upfront for those larger interest payouts . Consequently, the total expected return over the li fe of the bond (YTM) drops below the stated coupon rate.
One-third
Same
Three times
None of these
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Explanation
Standard Deviation measures spread.
If every observation is multiplied by 3, the spread also gets multiplied by 3.
Mean changes by 3x, and SD also changes by 3x.
Last verified on 21-08-2026
Variance becomes zero only when every observation is identical.
Variance measures central tendency.
Variance is always equal to Standard Deviation.
None of these
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Explanation
Variance is zero only when all observations have the same value. Variance measures dispersion (spread). Variance is calculated from squared deviations from the mean. Since squared deviations cannot be negative, variance cannot be negative. Last verified on 21-08-2026
1/11
1/6
3/11
None of these
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Explanation
Total balls = 5 red + 4 blue + 3 green = 12 balls
Number of blue balls = 4
We need probability that both balls drawn are blue, without replacement.
First ball blue = 4/12
Second ball blue = 3/11
Multiply them: (4/12) * (3/11) = 12/132 = 1/11
Last verified on 21-08-2016
1/16
4/16
15/16
16/16
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Explanation
Total possible outcomes = 2⁴ = 16.
The probability of getting no head (all tails) is 1/16.
Probability of getting at least one head = 1 − P(no head).
Therefore: 1 − 1/16 = 15/16.
