Free Practice Questions for Competitive Exams, Interviews, Certifications

Q:

If the mean of m observations out of n observations is n and the mean of remaining observations is m, then what is the mean of all n observations?

A) 2m –m^2/n	B) 2m –m/n
C) 2m	D) 2m –m

Answer & Explanation Answer: A) 2m –m^2/n

Explanation:

Mean of m observations is n

Mean of n-m observations is m

So total = nm+ (n-m)m

Total observations = n

Mean = Total / Total observations = (2mn-m^2)/n = 2m –m^2/n

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2238

Q:

The monthly expenditure of a person is Rs. 6000. The distribution of expenditure on various items is as follows:

Item of expenditure Amount(in Rs.)
Food 2000
Clothing 660
Fuel and rent 1200
Education 480
Miscellaneous 1660

If the above data is represented by a percentage bar diagram of height 15 cm, then what are the lengths of the two segments of the bar diagram corresponding to education and miscellaneous respectively?

A) 1.25 cm and 5 cm	B) 1.2 cm and 4.15 cm
C) 1.2 cm and 3.5 cm	D) 4.15 cm and 6 cm

Answer & Explanation Answer: B) 1.2 cm and 4.15 cm

Explanation:

15 cm corresponds to 6000 rs

Education = 480/6000 * 15 cm = 1.2 cm

Miscellaneous = 1660/6000 * 15 cm = 4.15 cm

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Filed Under: Bar Charts
Exam Prep: Bank Exams

3 1481

Q:

The data collected from which one of the following methods is not a primary data?

A) By direct personal interviews	B) By indirect personal interviews
C) By schedules sent through enumerators	D) From published thesis

Answer & Explanation Answer: D) From published thesis

Explanation:

Primary data is information that you collect specifically for the purpose of your research project.

An advantage of primary data is that it is specifically tailored to your research needs. A disadvantage is that it is expensive to obtain.

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Filed Under: Quantitative Aptitude - Data Interpretation
Exam Prep: Bank Exams

0 614

Q:

Diagrammatic representation of data includes which of the following?

1) Bar diagram

2) Pie-diagram

3) Pictogram

Select the correct answer using the code given below:

A) 1 and 2 only	B) 2 and 3 only
C) 1 and 3 only	D) 1, 2 and 3

Answer & Explanation Answer: D) 1, 2 and 3

Explanation:

All three are types of data representation

Pictogram uses pictures so show different identities with different numbers

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Filed Under: Quantitative Aptitude - Data Interpretation
Exam Prep: Bank Exams

2 1445

Q:

Consider two-digit numbers which remain the same when the digits interchange their positions. What is the average of such two-digit numbers?

A) 33	B) 44
C) 55	D) 66

Answer & Explanation Answer: C) 55

Explanation:

All such 2 digit numbers are 11,22,33,44....... upto 99

Forms an AP

So sum = n/2(a+l)

= 9/2(11+99)

Average = sum/9 = ½(11+99) = 55

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Filed Under: Numbers
Exam Prep: Bank Exams

0 1019

Q:

The average of 50 consecutive natural numbers is x. What will be the are average when the next four natural numbers are also included?

A) x + 1	B) x + 2
C) x + 4	D) x + (x/54)

Answer & Explanation Answer: B) x + 2

Explanation:

Sum of n consecutive natural numbers = n(n+1)/2

Average of n consecutive natural numbers = (n+1)/2

For first 50 average = 51/2 = x

Last 50 average = 55/2 = x+2

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Filed Under: Average
Exam Prep: Bank Exams

2 3009

Q:

Consider the following frequency distribution:

x f

8 6

5 4

6 5

10 8

9 9

4 6

7 4

What is the median for the distribution?

A) 6	B) 7
C) 8	D) 9

Answer & Explanation Answer: C) 8

Explanation:

Summation of frequencies = 6+4+5+8+9+6+4 = 42

Median = mid value = average of 21st and 22nd value

Arranging data in increasing order we get

x f

4 6

5 4

6 5

7 4

8 6

9 9

10 8

So mid value i.e 21st and 22nd value = 8

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Filed Under: Average
Exam Prep: Bank Exams

0 15660

Q:

Consider the following grouped frequency distribution:

x f

0-10 8

10-20 12

20-30 10

30-40 p

40-50 9

If the mean of the above data is 25.2, then what is the value of p?

A) 9	B) 10
C) 11	D) 12

Answer & Explanation Answer: C) 11

Explanation:

Mean = (sum of fixi/ (sum of f) = (8*5 + 12*15 + 10*25 + P*35 +9*45) / (8+12+10+P+9) = 25.2

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