Olympiad Mathematics - Comparing Quantities
Exam Duration: 45 Mins Total Questions : 30
In an office the working hours are 10:30 a.m. to 5:30 p.m. and in between 30 minutes are spent for lunch. Find the ratio of office hours to the time spent for lunch.
- (a)
7: 30
- (b)
1: 14
- (c)
14: 1
- (d)
30: 7
If \(2\frac{1}{2}\%\) of a number is 0.2, what will be 120% of it?
- (a)
10.8
- (b)
4.8
- (c)
9.6
- (d)
12.4
The number of seats for admission is increased by 10% every year. If the number of seats in 2001 was 400, what was the number of seats in 2003?
- (a)
824
- (b)
484
- (c)
500
- (d)
480
In an election between two candidates, the candidate who gets 30% of the votes polled is defeated by 15000 votes. What is the number of votes polled for the winning candidate?
- (a)
37500
- (b)
30000
- (c)
26250
- (d)
11250
In 2003, Indian cricket team played 60 games and won 30% of the games played. After a phenomenal winning streak, this team raised its average to 50%. How many games did the team win in a row to attain this average?
- (a)
36
- (b)
24
- (c)
48
- (d)
12
The ratio of copper and zinc in an alloy is 7: 8. If the weight of zinc is 9.6 kg, what is the weight of copper in the alloy?
- (a)
9.4 kg
- (b)
8.8 kg
- (c)
8.4 kg
- (d)
4.8 kg
Which of the following statements is wrong?
- (a)
\(\sqrt {225}+625=\) 80%of 1200- 320
- (b)
\(5\frac{1}{2}\ of \ 240=\) 150% of 880
- (c)
25% of 50 = 0.125
- (d)
150 g is 20% of a kg
35% population of a town are men and 40% are women. If the number of children is 20,000, what is the number of women?
- (a)
3200
- (b)
30,050
- (c)
32000
- (d)
31500
A student has to secure 40% marks to pass. He got 40 marks and failed by 40 marks. What is the maximum number of marks?
- (a)
400
- (b)
300
- (c)
200
- (d)
100
After a deduction of 5% from a certain sum and then 10% from the remainder, a sum of Rs. 171 is left. What was the original sum?
- (a)
Rs.200
- (b)
Rs.250
- (c)
Rs.150
- (d)
Rs.300
The C.P.of 25 articles is equal to the S.P. of 20 articles. What is the gain%?
- (a)
25%
- (b)
20%
- (c)
30%
- (d)
50%
By selling an article for ( 600 a man loses 20%. At what price should he sell it in order to gain 25%?
- (a)
Rs.800
- (b)
Rs.750
- (c)
Rs.937.50
- (d)
Rs.1000
11 oranges are bought for Rs. 10 and 10 oranges are sold for Rs. 11. Find the gain (or) loss percent.
- (a)
21% loss
- (b)
11% gain
- (c)
21% gain
- (d)
11% loss
A sum of money at simple interest doubles itself in 8 years 4 months. What is the time for which it triples itself?
- (a)
18 years 6 months
- (b)
16 years 8 months
- (c)
15 years 8 months
- (d)
16 years 10 months
In how many years does a certain sum amount to three times the principal at the rate of 16\(\frac { 2 }{ 3 } \)%?
- (a)
12 years
- (b)
8 years
- (c)
4 years
- (d)
16 years
A man buys a radio for Rs. 600 and sells it at a gain of 25%. What is the S.P of the radio?
- (a)
Rs.700
- (b)
Rs.750
- (c)
Rs.900
- (d)
Rs.1000
A sum was invested at S.I at a certain rate for 4 years. Had it been invested at 2% higher rate, it would have fetched Rs 56 more. Find the sum.
- (a)
Rs 500
- (b)
Rs 600
- (c)
Rs 700
- (d)
Rs 800
150% of a number is 900, What is the number?
- (a)
450
- (b)
600
- (c)
1350
- (d)
1800
Which of the following is not equal to 5.2%?
- (a)
52 out of 1000
- (b)
13 out of 250
- (c)
26 out of 50
- (d)
39 out of 750
The ratio of the length of Rope A to the length of Rope B is 3: 4, The ratio of the length of Rope C to the length of Rope B is 7: 6. If the length of the longest rope is 84 cm, then find the total length of the three
ropes.
- (a)
210 cm
- (b)
225 cm
- (c)
185 cm
- (d)
200 cm
\(\frac{25\%\ of50\%\ of100\%}{25\ of100\times50\%\ of100}\) is equal to_____.
- (a)
0.0001 %
- (b)
0.1%
- (c)
0.01 %
- (d)
1%
A number A exceeds B by 25%. 8y what percentage is A more than B?
- (a)
20%
- (b)
25%
- (c)
30%
- (d)
15%
11 oranges are bought for Rs 10 and 10 oranges are sold for Rs 11, The gain/loss percent is________.
- (a)
21% loss
- (b)
11% gain
- (c)
21% gain
- (d)
11% loss
What percentage of the figure is shaded?
- (a)
50 %
- (b)
60 %
- (c)
70 %
- (d)
65 %
In an election between two candidates, the candidate who gets 30% of the votes polled is defeated by 15000 votes. What is the number of votes polled for the winning candidate?
- (a)
37500
- (b)
30000
- (c)
26250
- (d)
11250
By selling a jug for Rs 144, a man loses \(\frac{1}{7}\) of his outlay. If it is sold for Rs 189, then what is the gain percent?
- (a)
50%
- (b)
25%
- (c)
30%
- (d)
12.5%
A school has 560 students. The number of girls is \(14\frac{2}{7}\%\) of the number of boys. How many girls are there in the school?
- (a)
100
- (b)
80
- (c)
49
- (d)
70
State 'T' for true and 'F' for false.
(i) Mr Prateek has a total of Rs 15000. He spends 35% of his money on his child's education and save the rest. He save Rs 9750.
(ii) In the second terminal examination, Trishu scored 65 marks in English, 75 marks in Hindi, 65 marks in Social Science, 82 marks in Maths and 91 marks in Science. If the maximum marks for each subject is 100, then the percentage of his aggregate marks is 75%.
(iii) Sidak bought 100 dozen pencils at Rs 20 per dozen. She sold the pencils at Rs 2 each. Her loss percent is 20%.
- (a)
(i) (ii) (iii) F F T - (b)
(i) (ii) (iii) T F T - (c)
(i) (ii) (iii) F T T - (d)
(i) (ii) (iii) T F F
Which of the following statements is CORRECT?
Statement-1: Mathematics textbook for Class VII has 320 pages. The chapter 'Symmetry' runs from page 261 to page 272. The ratio of the number of pages of this chapter to the total number of pages of the book is 3: 81.
Statement-2: In a school of 100 students, only 2 out of 5 students can participate in a quiz. The percentage of students that participate in the quiz is 40%.
- (a)
Only Statement-1
- (b)
Only Statement-2
- (c)
Both Statement-1 and Statement-2
- (d)
Neither Statement-1 nor Statement-2
In the given question, a question is asked and is followed by three statements. While answering the question, you may or may not require the data provided in all the statements. You have to read the question and the three statements and then decide whether the question can be answered with anyone or two of the statements or all the three statements are required to answer the question. Select the correct option. What is the principal sum?
(i) The sum amounts to Rs 690 in 3 years at S.I.
(ii) The sum amounts to Rs 750 in 5 years at S.I.
(iii) The rate of interest is 5% p.a.
- (a)
Both (i) and (iii)
- (b)
Both (ii) and (iii)
- (c)
Both (i) and (ii)
- (d)
Any two of the three