The average of 17 numbers is 10.9. If the average of first nine numbers is 10.5 and that of the last nine numbers is 11.4, the middle number is
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28%
(a) 11.8
24%
(b) 11.4
41%
(c) 10.9
7%
(d) 11.7
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In a class, 60% of students are from India and 50% of the students are girls. If 30% of the Indian students are girls, then what percentage of foreign students are boys? (UPSC-2021)
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7%
(a) 45%
25%
(b) 40%
22%
(c) 30%
46%
(d) 20%
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In a test, a candidate attempted only 8 questions and secured 50% marks in each of the questions. If he obtained a total of 40% in the test and all questions in the test carried equal marks, how many questions were there in the test? (UPSC-2015)
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8%
(a) 8
57%
(b) 10
22%
(c) 15
13%
(d) 16
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Topic: 10 ✓ LCM & HCF.
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In a class of 60 students, where girls are twice that of boys. Kamal ranked seventeenth from the top, if there are 9 girls ahead of Kamal, how many boys are after him in rank?
Anonymous Quiz
5%
(a) 3
19%
(b) 7
66%
(c) 12
10%
(d) 23
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In a school there are 1000 students in the year 1999. The number of students increased by 20% in the year 2000. And it is increased by 15% in the year 2001. But it is decreased by 20% in 2002. Then what is the strength in 2002?
Anonymous Quiz
8%
(a) 1200
16%
(b) 1300
27%
(c) 1150
50%
(d) 1104
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Topic: 15 ✓ Important Series Sum
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Topic: 20 ✓ Clock
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Topic: 20 ✓ Clock
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The average marks of a group of 20 students on a test is reduced by 4 when the topper who scored 90 marks is replaced by a new student. How many marks did the new student have?
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9%
(a) 30
50%
(b) 10
25%
(c) 20
16%
(d) 40
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A street vendor has enough money to buy 20 pairs of shoes. If he gets discount of Rs. 25 on each pair of shoe, then he can buy two more pairs of shoes, and still have Rs. 70 left with him. How much money did he have originally?
Anonymous Quiz
5%
(a) Rs. 4500
71%
(b) Rs. 4800
18%
(c) Rs. 5000
5%
(d) Rs. 5200
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👆Ans. B | Explanation:
Let the original price of each pair of shoe be Rs. x.
According to the question,
20x = 22(x – 25) + 70
or, 20x = 22x – 550 + 70
or, 22x – 20x = 480
or, 2x = 480
or, x = Rs. 240
So, the amount of money that street vendor originally had = 20x = 20 × 240 = Rs. 4800
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Let the original price of each pair of shoe be Rs. x.
According to the question,
20x = 22(x – 25) + 70
or, 20x = 22x – 550 + 70
or, 22x – 20x = 480
or, 2x = 480
or, x = Rs. 240
So, the amount of money that street vendor originally had = 20x = 20 × 240 = Rs. 4800
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A man in his boat can cover 60 km length of a river and come back to his initial point in 4 hrs. If speed of boat is twice that of stream, then what must be the speed of stream?
Anonymous Quiz
19%
a) 15 km/hr
19%
(b) 16 km/hr
54%
(c) 20 km/hr
9%
(d) 10 km/hr
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👆Ans. C | Explanation:
Let, speed of stream = x km/hr.
So, speed of boat = 2x km/hr.
According to the question,
[60/(2x + x)] + [60/(2x - x)] = 4
Or (60/3x) + (60/x) = 4
Or (20/x) + (60/x) = 4
Or 80/x = 4
Or x = 20 km/hr
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Let, speed of stream = x km/hr.
So, speed of boat = 2x km/hr.
According to the question,
[60/(2x + x)] + [60/(2x - x)] = 4
Or (60/3x) + (60/x) = 4
Or (20/x) + (60/x) = 4
Or 80/x = 4
Or x = 20 km/hr
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👍5
A scored 60 more marks than B in an examination. If B scored 10% less marks than A, then how much did B score?
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9%
(a) 360
14%
(b) 480
72%
(c) 540
5%
(d) 420
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👆Ans. C | Explanation:
A scored 60 more marks than B. So, if marks of B are b, then marks of A will be b + 60.
Now, B scored 10% less marks than A. That is, marks of B are 90% of the marks of A.
So, b = 90% of (b + 60)
Or 10b = 9b + 540
Or b = 540
So, B scored 540 marks.
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A scored 60 more marks than B. So, if marks of B are b, then marks of A will be b + 60.
Now, B scored 10% less marks than A. That is, marks of B are 90% of the marks of A.
So, b = 90% of (b + 60)
Or 10b = 9b + 540
Or b = 540
So, B scored 540 marks.
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If the fifth day of a month is Monday, then which one of the following will be the third day from 18th of that month?
Anonymous Quiz
55%
(a) Wednesday
18%
(b) Thursday
17%
(c) Monday
10%
(d) Sunday
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👆Ans. A | Explanation:
Third day from 18th will be 21st.
Mondays of the month will be: 5 12 19 26
Hence, 21st of the month will be a Wednesday.
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Third day from 18th will be 21st.
Mondays of the month will be: 5 12 19 26
Hence, 21st of the month will be a Wednesday.
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👍6
A man completes 5/8th of a job in 25 days. How many more days will it take him to finish the job if quantum of work is further increased by 50%?
Anonymous Quiz
10%
(a) 44 days
18%
(b) 31 days
14%
(c) 28 days
57%
(d) 35 days
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👆Ans. D | Explanation:
Let initial units of work = 8 units
Out of which, 5 units are completed in 25 days.
So, the number of days that the man takes in completing one unit of work = 25/5 = 5 days
Now, amount of new work = 8 + 50% of 8 = 8 + 4 = 12 units
Work remaining = 12 – 5 = 7 units
So, the time taken by the man to complete the rest of the work = 7 × 5 = 35 days
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Let initial units of work = 8 units
Out of which, 5 units are completed in 25 days.
So, the number of days that the man takes in completing one unit of work = 25/5 = 5 days
Now, amount of new work = 8 + 50% of 8 = 8 + 4 = 12 units
Work remaining = 12 – 5 = 7 units
So, the time taken by the man to complete the rest of the work = 7 × 5 = 35 days
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What are the total number of five-digit numbers divisible by 5, that can be formed by using digits 1, 2, 3, 4, and 5, such that no digit is repeated?
Anonymous Quiz
21%
(a) 120
10%
(b) 8
63%
(c) 24
6%
(d) 36
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👆Ans. C | Explanation:
As the number is divisible by 5, so the unit place will always be 5.
The rest of the four positions may be filled by the remaining 4 digits as follows:
* Tens place in 4 ways
* Hundreds place in 3 ways
* Thousands place in 2 ways
* Ten Thousands place in 1 way
Hence, total number of required numbers = 4 × 3 × 2 × 1 = 24
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As the number is divisible by 5, so the unit place will always be 5.
The rest of the four positions may be filled by the remaining 4 digits as follows:
* Tens place in 4 ways
* Hundreds place in 3 ways
* Thousands place in 2 ways
* Ten Thousands place in 1 way
Hence, total number of required numbers = 4 × 3 × 2 × 1 = 24
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