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FCI Practice Questions Numerical Aptitude | Set-2
1. What should come in place of question mark (?) in the following question?
100 × 10 – 100 + 3000 ÷ 100 = ?
A. 979
B. 920
C. 780
D. 930
Show Correct Answers
Correct Answer – D. 930
To Follow BODMAS Rule
Step-1- Parts of an equation enclosed in ‘Brackets’ must be solved first, and in the bracket, the BODMAS rule must be followed,
Step-2- Any mathematical ‘Of’ or ‘Exponent’ must be solved next,
Step-3-Next, the parts of the equation that contain ‘Division’ and ‘Multiplication’ are calculated,
Step-4-Last but not least, the parts of the equation that contain ‘Addition’ and ‘Subtraction’ should be calculated.
Given expression is,
100 × 10 – 100 + 3000 ÷ 100 = ?
⇒ (100 × 10) – 100 + (3000 ÷ 100) = ?
⇒ 1000 – 100 + 30 = ?
⇒ 900 + 30 = ?
⇒ ? = 930
2. What should come in place of question mark (?) in the following question?
(5.20)2 – 102.6 ÷ ? = 8.04
A. 5.4
B. 6.5
C. 8.2
D. 16
Show Correct Answers
Correct Answer –A. 5.4
Follow BODMAS rule to solve this question, as per the order given below,
Step-1-Parts of an equation enclosed in ‘Brackets’ must be solved first,
Step-2-Any mathematical ‘Of’ or ‘Exponent’ must be solved next,
Step-3-Next, the parts of the equation that contain ‘Division’ and ‘Multiplication’ are calculated,
Step-4-Last but not least, the parts of the equation that contain ‘Addition’ and ‘Subtraction’ should be calculated.
Now, the given expression,
(5.20)2 – 102.6÷ ? = 8.04
⇒ 27.04 – 102.6/? = 8.04
⇒ 102.6/? = 27.04 – 8.04
⇒ ? = 102.6/19
⇒ ? = 5.4
3.What should come in place of question mark (?) in the following question?
1.05% of 2500 + 2.5% of 440 =?
A. 37.75
B. 37.25
C. 35.75
D. 33.5
Show Correct Answers
Correct Answer – B. 37.25
Given expression:
1.05% of 2500 + 2.5% of 440 =?
⇒ ? = 2500 × (1.05/100) + 440 × (2.5/100)
⇒ ? = 26.25 + 11
⇒ ? = 37.25
Hence, the required number in place of question mark is 37.25.
4. What should come in place of question mark (?) in the following question?
25114.25 – 7856.36 + 1425.28 =? – 4587 A. 14,257.36
B. 17,566.23
C. 23,270.17
D. 78,356.25
Show Correct Answers
Correct Answer – C. 23,270.17
25114.25 – 7856.36 + 1425.28 =? – 4587
⇒ ? = 25114.25 – 7856.36 + 1425.28 + 4587
⇒ ? = 31126.53 – 7856.36
⇒ ? = 23,270.17
Hence, the required number in place of question mark is 23,270.17.
Directions (5-9) : Study the following data carefully and answer the questions given below.
The total number of schools and colleges in a state are 30000. The ratio of school and colleges in this state is 4:1. 30% of total numbers of schools are girl schools and 25% of the total numbers of schools are co-ed schools. The rest of the schools are boys schools. Out of total numbers of colleges 15% are girls colleges for general course. 5% of total numbers of colleges are degree engineering colleges and 2% of total numbers of colleges are diploma colleges. And 20% of total degree engineering colleges teach diploma courses also.
[Boys and girls both can be admitted in co-ed schools]
5. The numbers of schools where girls can be admitted is what percentage of the number of schools where boys can be admitted?
A. 87.50
B. 62.58
C. 78.57
D. 59.51
Show Correct Answers
Correct Answer – C. 78.57
The total number of schools and colleges in a state are 30000.
The ratio of school and colleges in this state is 4:1.
So, the number of schools = 30000 × (4/5) = 24000
30% of total numbers of schools are girl schools.
So, the numbers of girls schools = 24000 × (30/100) = 7200
25% of the total numbers of schools are co-ed schools.
So, the numbers of co-ed schools = 24000 × (25/100) = 6000
And Boys and girls both can be admitted in co-ed schools.
∴ The numbers of schools where girls can be admitted = 7200 + 6000 = 13200
Rest of the schools is boys schools.
So, the numbers of boys schools = 24000 × [100 – (30 + 25)]% = 24000 × 45% = 24000 × (45/100) = 10800
Then the number of schools where boys can be admitted = 10800 + 6000 = 16800
∴ The required percentage = [(13200/16800) × 100]% = 78.57%.
6. In how many colleges students can be admitted for diploma course?
A. 150
B. 200
C. 180
D. 120
Show Correct Answers
Correct Answer – C. 180
The total number of schools and colleges in a state are 30000.
The ratio of school and colleges in this state is 4:1.
So, the number of colleges = 30000 × (1/5) = 6000
5% of total numbers of colleges are degree engineering colleges.
So, the numbers of degree engineering colleges = 6000 × (5/100) = 300
2% of total numbers of colleges are diploma colleges.
So, the numbers of diploma colleges offering diploma course = 6000 × (2/100) = 120
And 20% of total degree engineering colleges used to teach diploma courses also.
So, the numbers of degree engineering colleges offering diploma course = 300 × (20/100) = 60
∴ The total numbers of colleges where students can be admitted for diploma course = 120 + 60 = 180.
7. What is the ratio between numbers of degree engineering colleges and schools?
A. 1:80
B. 3:40
C. 1:50
D. 2:35
Show Correct Answers
Correct Answer – A. 1:80
The total number of schools and colleges in a state are 30000.
The ratio of school and colleges in this state is 4:1.
So, the number of colleges = 30000 × (1/5) = 6000
5% of total numbers of colleges are degree engineering colleges.
So, the numbers of degree engineering colleges = 6000 × (5/100) = 300
The total number of schools and colleges in a state are 30000.
So, the number of schools = 30000 × (4/5) = 24000
∴ The ratio between numbers of degree engineering colleges and schools = 300:24000 = 1:80.
8. What is the number of girls colleges for general course in the state?
A. 975
B. 1025
C. 750
D. 900
Show Correct Answers
Correct Answer – D. 900
The total number of schools and colleges in a state are 30000.
The ratio of school and colleges in this state is 4:1.
So, the number of colleges = 30000 × (1/5) = 6000
Out of total numbers of colleges 15% are girls colleges for general course.
∴ The number of girls colleges for general course in the state = 6000 × (15/100) = 900.
9. In how many schools can girls be admitted in the state?
A. 12330
B. 13200
C. 12500
D. 12540
Show Correct Answers
Correct Answer –B. 13200
The total number of schools and colleges in a state are 30000.
The ratio of school and colleges in this state is 4:1.
So, the number of schools = 30000 × (4/5) = 24000
30% of total numbers of schools are girl schools.
So, the numbers of girls schools = 24000 × (30/100) = 7200
25% of the total numbers of schools are co-ed schools.
So, the numbers of co-ed schools = 24000 × (25/100) = 6000
∵ Boys and girls both can be admitted in co-ed schools.
∴ The numbers of schools where girls can be admitted = 7200 + 6000 = 13200
10. In a company, 20% of the total employees are in the top management and 35% are in middle management. If 24 middle management employees get promoted to top management, there will be 22% of total employees in top management. How many employees are there in the company?
A. 880
B. 1000
C. 1200
D. 1440
Show Correct Answers
Correct Answer – C. 1200
Suppose there are T employees in company. If 24 middle management employees get promoted to top management, there will be 22% of total employees in top management instead of 20%.