Considering the alarming importance of CSAT in UPSC CSE Prelims exam and with enormous requests we received recently, InsightsIAS has started Daily CSAT Test to ensure students practice CSAT Questions on a daily basis. Regular Practice would help one overcome the fear of CSAT too.
We are naming this initiative as Insta– DART – Daily Aptitude and Reasoning Test. We hope you will be able to use DART to hit bull’s eye in CSAT paper and comfortably score 100+ even in the most difficult question paper that UPSC can give you in CSP-2021. Your peace of mind after every step of this exam is very important for us.
Looking forward to your enthusiastic participation (both in sending us questions and solving them on daily basis on this portal).
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Question 1 of 5
1. Question
In a class there are 60 girls and 30 boys, the total average weight of the class is 47(7/15)kg and the average weight of boys is 58kg. What will be the average weight of girls.
Correct
Answer: (a) 42
Explanation:
30*58 + 60*x =(712/15) *90
Where, x= average weight of girls
47(7/15) = 712/15
90=(boys +girls)=total number of students
On solving we get x=42 approximately
Hence the average weight of the girls=42kg.
Incorrect
Answer: (a) 42
Explanation:
30*58 + 60*x =(712/15) *90
Where, x= average weight of girls
47(7/15) = 712/15
90=(boys +girls)=total number of students
On solving we get x=42 approximately
Hence the average weight of the girls=42kg.
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Question 2 of 5
2. Question
The average age of all the 200 employees in an office is 58 years, where 2/5 employees are women and the ratio of average age of men to women is 5:7. The average age of female employees is.
Correct
Answer: (c)
Explanation:
Number of women=200*2/5=80
Number of male=200*3/5=120
According to the question,
80*7x + 120*5x =11600
560x+600x=11600
1160x=11600
,x=10
Average age of female employees=70 years.
Incorrect
Answer: (c)
Explanation:
Number of women=200*2/5=80
Number of male=200*3/5=120
According to the question,
80*7x + 120*5x =11600
560x+600x=11600
1160x=11600
,x=10
Average age of female employees=70 years.
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Question 3 of 5
3. Question
There are 6 consecutive odd numbers. The difference between the square of the average of the last three numbers and that of first three numbers is 288. What is the average of largest odd number and smallest odd number?
Correct
Answer : (d)
Explanation:
Let consecutive odd numbers are,
2x+1, 2x+3, 2x+5, 2x+7, 2x+9, 2x+11
((2x+7+2x+9+2x+11)/3 )2 – ((2x+1+2x+3+2x+5)/3 )2 =288
(2x+9)2 – (2x+3)2 = 288
Apply a2-b2=(a+ b)(a-b) formula
On solving we get x=9
The consecutive odd numbers are,
19, 21,23,25,27,29
Average of small and larger odd number is
(19+29)/2= 24
Incorrect
Answer : (d)
Explanation:
Let consecutive odd numbers are,
2x+1, 2x+3, 2x+5, 2x+7, 2x+9, 2x+11
((2x+7+2x+9+2x+11)/3 )2 – ((2x+1+2x+3+2x+5)/3 )2 =288
(2x+9)2 – (2x+3)2 = 288
Apply a2-b2=(a+ b)(a-b) formula
On solving we get x=9
The consecutive odd numbers are,
19, 21,23,25,27,29
Average of small and larger odd number is
(19+29)/2= 24
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Question 4 of 5
4. Question
Present average age of P,Q and R is (8x+12) years. The present age of P and Q is (12x-30) years. The present age of Q is 25% less than present age of R and 20% more than the present age of P. What is he present age of P?
Correct
Answer: (a)
Explanation:
P+Q+R= 24x+36—-(1)
P+Q=24x-60——-(2)
On solving 1 and 2 ,
We get R=24
Q= 25% less than R=2/4(24)=18
Q=20% more than P
Q=6/5(P)
18*5/6=P
P=15 years.
Incorrect
Answer: (a)
Explanation:
P+Q+R= 24x+36—-(1)
P+Q=24x-60——-(2)
On solving 1 and 2 ,
We get R=24
Q= 25% less than R=2/4(24)=18
Q=20% more than P
Q=6/5(P)
18*5/6=P
P=15 years.
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Question 5 of 5
5. Question
In an examination of 100 marks, the average marks of class is 40 students are 76. If the top 3 scorer of the class leave , the average score falls down by 1, if the other two toppers except the highest topper scored not more than 85 then what is the minimum score the topper can score?
Correct
Answer: (a)
Explanation:
Total score of 40 students=40*76=3040
Total score of top 3=3040-37*75= 265
To minimize the score of topmost scorer, let top two score get marks each
265-(85+85)=95
Incorrect
Answer: (a)
Explanation:
Total score of 40 students=40*76=3040
Total score of top 3=3040-37*75= 265
To minimize the score of topmost scorer, let top two score get marks each
265-(85+85)=95
