Mathematics - Comparing Quantities
Exam Duration: 45 Mins Total Questions : 30
Which of the following is the condition for two ratios to be equal?
- (a)
Product of means is equal to antecedents
- (b)
Product of extremes is equal to consequents
- (c)
Antecedents are equal to consequents
- (d)
Product of means is equal to product of extremes.
If 20: 5:: p: 1, what is the value of p?
- (a)
\(\frac{1}{5}\)
- (b)
4
- (c)
5
- (d)
1
What is the mean proportion of 25: 20:: 20: 16?
- (a)
25
- (b)
20
- (c)
16
- (d)
100
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
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
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
In an examination, 96% of the candidates passed and 50 failed. What is the number of candidates who appeared for the examination?
- (a)
1520
- (b)
1250
- (c)
1530
- (d)
1350
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
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
Ashok sells a room heater for Rs 322 gaining \(\frac { 1 }{ 6 } \) of its cost price. What is his gain percent?
- (a)
13\(\frac { 2 }{ 3 } \)%
- (b)
15\(\frac { 2 }{ 3 } \)%
- (c)
16\(\frac { 2 }{ 3 } \)%
- (d)
17\(\frac { 2 }{ 3 } \)%
Guru and Chiru borrowed Rs2250 and Rs2500 respectively at the same rate of simple interest for 3 years. If the interest paid by Chiru is Rs 45 more than that paid by Guru, what is the rate of interest per annum?
- (a)
3% p.a
- (b)
4% p.a.
- (c)
5% p.a.
- (d)
6% p.a.
How many times will the sum get multiplied in 10 years at 20% per annum rate of interest?
- (a)
2 times
- (b)
3 times
- (c)
4 times
- (d)
5 times
A shopkeeper sold two watches for Rs. 425 each. gaining 10% on one and losing 10% on the other. Which of the following is true?
- (a)
He gains 1%.
- (b)
He loses 1 %.
- (c)
Either (A) or (B)
- (d)
Neither (A) nor (B)
Sneha bought a purse for Rs.480. She sold it to Neha at a gain of \(6\frac{1}{4}\%\) and Neha sold it to Devi at a gain of 10%. How much did Devi pay for it?
- (a)
Rs.561
- (b)
Rs.560
- (c)
Rs.550
- (d)
Rs.525
On what sum of money lent at 9% per annum for 6 years does the S.I. amount toRs. 810?
- (a)
Rs.1000
- (b)
Rs.1500
- (c)
Rs.1200
- (d)
Rs.1600
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
The S.I on a sum of money is 1/9th of the principal and the number of years is equal to the rate percent per annum. Find the rate percent.
- (a)
2\(\frac { 1 }{ 3 } \)%
- (b)
3\(\frac { 1 }{ 3 } \)%
- (c)
4\(\frac { 1 }{ 3 } \)%
- (d)
3\(\frac { 1 }{ 3 } \)%
If Rs 85 amounts to Rs 95 in 3 years, what will Rs102 amount to in 5 years at the same rate?
- (a)
Rs 120
- (b)
Rs 104
- (c)
Rs 116
- (d)
Rs 122
A wire is 72 cm long. It is bent to form a rectangle. The ratio of its length to its breadth is 7 : 5, Find the area of the rectangle.
- (a)
250 cm2
- (b)
300 cm2
- (c)
315 cm2
- (d)
285 cm2
150% of a number is 900, What is the number?
- (a)
450
- (b)
600
- (c)
1350
- (d)
1800
Select the INCORRECT match.
- (a)
Item S.P(Rs) Profit/loss C.P(Rs) Pen 96 20% profit 80 - (b)
Item S.P(Rs) Profit/loss C.P(Rs) Sofa 7000 121/2%loss 8000 - (c)
Item S.P(Rs) Profit/loss C.P(Rs) Wooden shelf
6786 13% loss 7812 - (d)
Item S.P(Rs) Profit/loss C.P(Rs) Tea set 1526 9% gain 1400
Express 54 m as a percentage of 1 km 80 m.
- (a)
\(3\frac{5}{7}\%\)
- (b)
5%
- (c)
\(37\frac{1}{7}\%\)
- (d)
50%
A contractor employed 210 men to build a house in 60 days. After 12 days, he was joined by 70 more men. In how many days will the remaining work be finished?
- (a)
35
- (b)
36
- (c)
38
- (d)
40
Mini purchased a dozen handkerchiefs for Rs 60 and sold them for Rs 84 whereas Trishika purchased a dozen handkerchiefs for Rs 90 and sold them for Rs 150. Whose profit percent is more and by how much?
- (a)
Mini, 23.4%
- (b)
Trishika,25.4%
- (c)
Trishika, 26.6%
- (d)
Mini, 31.6%
Kavleen invited 24 of her friends on her birthday party. In the party the ratio of boys and girls was 3: 5 (excluding Kavleen). Find the number of boys and girls invited by Kavleen on her birthday party.
- (a)
9, 15
- (b)
7, 17
- (c)
10, 14
- (d)
6, 18
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
You have Rs 1500 in your savings account at the beginning of the month. The record below shows all of your transactions during the month. How much money is in your account after these transactions?
Date | Withdrawal | Deposit |
4/9/14 | Rs 1200 | Rs 2000 |
22/9/14 | Rs 2100 | Rs 2500 |
- (a)
Rs 2000
- (b)
Rs 3100
- (c)
Rs 2500
- (d)
Rs 2700
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