100 aptitude

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100

APTITUDE

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AVERAGE speed and reached the home by covering
1. The average price of 80 computers in an rest half of the distance at the speed of
electronic shop is Rs30,000. If the highest 30km/hr. The average speed of the Gopal in
and lowest price computers are sold out then the whole length of journey is:
the average price of the remaining 78 (a) 5.67 km/hr (b) 24 km/hr
computers is Rs.29,500. The cost of the (c) 22.88 km/hr (d) 5.45 km/hr
highest price computer is Rs.80,000. The 5. In a class, there are 75 students and their
cost of lowest price computer is average mark in the annual examination is
(a)Rs.19,000 (b) Rs.20,000 35. If the average marks of passed student‟s
(c)Rs.29,000 (d) Can‟t be determined is55 and average marks of failed students is
2. The average salary of all the 60 30, then find out the number students who
employees in an office is Rs.12,000 per failed
month. If the number of executive is twice (a) 60 (b) 65
the number of non executive employees, (c) 70 (d) 75
then the average salary of all the non 6. The average runs scored by a cricketer in
executive employees 42 innings, is 30. The difference between his
(a) Rs.9000 (b) Rs.8000 maximum and minimum scores in an innings
(c) Rs.6000 (d) Can‟t be determined is 100. If these two innings are not taken
3. Mr. Sharma travels by car and covers into consideration, then the average score of
25% of his journey with a speed of 10 km/h, remaining 40 innings is 28. Calculate the
45% of his journey with a speed of 5 km/h maximum runs scored by him in an innings?
and remaining 30% of his journey with a (a) 125 (b) 120
speed of 15 km/h. what will be the average (c) 110 (d) 100
speed of Mr. Sharma for the whole journey? 7. On an average 300 people watch the
(a) 7.40km/h (b) 7.45 km/h movie in Sahu Cinema hall on Monday,
(c) 8.0km/h (d) 6.5 km/h Tuesday and Wednesday and the average
4. Gopal went to the Hospital at the speed of number of visitors on Thursday and Friday is
60 km/hr while returning for his home he 250. If the average number of visitors per
covered the half of the distance at the speed day in the week be 400, then the average
of 10 km/hr, but suddenly he realized that number of people who watch the movie in
he was getting late so he increased the weekends (i.e., on Saturday and Sunday) is:
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(a) 500 (b) 600 1. A and B started a partnership business
(c) 700 (d) 800 investing some amount in the ratio of 3: 5. C
8. The average weight of 5 men is decreased joined them after six months with an amount
by 3 kg when one of them weighing 150 kg equal to that of B. In what proportion should
is replaced by another person. This new the profit at the end of one year be
person is again replaced by another person distributed amount A, B and C.
whose weight is 30 kg lower than the person (a) 3:7:5 (b) 6:10:5
he replaced. What is the overall change in (c) 6:10:7 (d) 6:7:5
the average due to this dual change? 2. A starts business with Rs. 3500 and after
(a) 6 kg (b) 9 kg 5 months, B joins with A as his partner. After
(c) 12 kg (d) 15kg a year, the profit is divided in the ratio 2:3.
9. There were 35 students in a hostel. Due What is B's contribution in the capital
to the admission of 7 new students the (a) Rs 9000 (b) Rs 7000
expenses (c) Rs 5000 (d) Rs 4000
of the mess were increased by Rs.42 pe 3. Nirmal and Kapil started a business
r day while the average expenditure per investing Rs. 9000 and Rs. 12000
head diminished by Re 1. What was the respectively. After 6 months, Kapil withdrew
original expenditure of the mess? half of his investment. If after a year, the
(a) 420 (b) 400 total profit was Rs. 4600, what was Kapil‟s
(c) 480 (d) 460 share initially?
10. The average price of 10 books is Rs.12 (a) Rs 2300 (b) Rs 2400
while the average price of 8 of these books is (c) Rs 2500 (d) None of above
Rs.11.75. Of the remaining two books, if the 4. In business, A and C invested amounts in
price of one book is 60% more than the price the ratio 2:1, whereas the ratio between
of the other, what is the price of each of amounts invested by A and B was 3:2, If Rs
these two books? 157300 was their profit, how much amount
(a) Rs. 5, Rs.8 (b) Rs. 8, Rs. 12.8 did B receive.
(c) Rs. 10, Rs. 16 (d) Rs. 12, Rs. 19.2 (a) Rs 48000 (b) Rs 47000
(c) Rs 47400 (d) Rs 48400
Partnership
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5. Rahul and Bharti are partners in a (c) 15000 (d) 60000
business. Rahul contributes 1/4th capital for 9. P, Q, R enter into a partnership & their
15 months and Bharti received 2/3 of profit. shares are in the ratio 1/2: 1/3: 1/4, after
For how long Bharti money was used. two months, P withdraws half of the capitals
(a) 8 months (b) 10 months & then after 10 months, a profit of Rs 378 is
(c) 11 months (d) 17 months divided among them. What is Q's share?
6. Check which among following are required (a) 144 (b) 154
to answer this questions: (c) 164 (d) none of the above
Three friends started a businesses, let their 10. A, B, C rent a pasture. A puts „X‟ oxen
names are A, B and C. What profit B will get, for 7 months, B puts 4 oxen for 5 months
if, and C puts 5 oxen for 3 months for grazing.
1. C invested Rs. 8000 for nine months; his If the rent of the pasture is Rs. 168, Find X if
profit was 3/2 times that of B's and his C pays Rs 45 as rent.
investment was four times that of A. (a) 3 (b) 2
2. A and B invested for one year in the (c) 4 (d) 5
proportion 1: 2 respectively.
3. The three together got Rs. 1000 as profit Percentage
at the year end. 1. If the price of petrol increases by 25%
(a) Only 1 and 3 (b) Only 1 and 2 and raj intends to spend only an additional
(c) All 1, 2 and 3 (d) None of above 10% on petrol, by how much % will he
7. If 4 (P's Capital) = 6 (Q‟s Capital) = 10 reduced the quantity of petrol purchased?
(R‟s Capital), then out of the total profit of (a) 10% (b) 12%
Rs 4650, R will receive (c) 8% (d) 6.67%
(a) 700 (b) 900 2. Rahul went to a shop and bought things
(c) 600 (d) 750 worth Rs.25, out of which 30 paise went to
8. A and B started a partnership business. A sales tax on taxable purchases .If the tax
invested 15000 and B invested 30000. After rate was 6%, then what was the cost of the
6 months A invested some more so that they tax free items?
divide the profit equally in the year end. How (a) Rs.20.00 (b) Rs. 17.90
much did A invest additionally? (c) Rs.19.70 (d) Rs.18.70
(a) 45000 (b) 30000
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3. Rama‟s expenditures and savings are in (c) 100 kg (d) 124 kg
the ratio 5:3. If her income increases by 8. The price of sugar having gone down by
12% and expenditure by 15%, they by how 10%,a consumer can buy 5 kg more sugar
much percent do her savings increase? for Rs.270.The difference between the
(a) 12 (b) 7 original and reduced price per kg is,
(c) 8 (d) 13 (a) 64 paise (b) 60 paise
4. The price of sugar is increased by 20%.As (c) 40 paise (d) 54 paise
a result a family has decreased its 9. The price of ghee is increased by
consumption by 20%.The expenditure of the 32%.Therefore, a family reduces its
family on sugar is decreased by consumption, so that the increment in price
(a) 0% (b) 2.5% of ghee is only 10%.If consumption of ghee
(c) 4% (d) 5% is 10kg before the increment, then what is
5. A vessel has 60L of solution of acid and the consumption now?
water having 80% acid. How much water is (a) 81 kg (b) 83 kg
3 4
to be added to make it solution in which acid
1 1
(c) 8 kg (d) 9 kg
2 7
forms 60%?
10. In a recent survey 30% houses
(a) 48 L (b) 24 L
contained 2 or more people. Of those houses
(c) 20 L (d) 28 L
containing only one person 15% were having
6. A candidate who scores 30% fails by 5
only a male. What is the percentage of all
marks, while another candidate who scores
houses contain exactly one female and no
40% marks gets 10 more than minimum
males?
pass marks. The minimum marks required to
(a) 60% (b) 60.5%
pass are
(c) 59% (d) 59.5%
(a) 45 (b) 60

(c) 90 (d) 50
Profit and Loss
7. A solution of salt and water contains 15%
1. A metal trader buys two kinds of copper
salt by weight. Of it, 30 kg water evaporates
foils, the ratio of their prices being 1:4. He
and the solution now contains 20% of salt.
sells the mixture at Rs.90 per kg so that he
Find the original quantity of salt.
can make a profit of 20%. If the ratio of
(a) 120 kg (b) 160 kg
their quantities present in a mixture is 6:1
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respectively, find the purchase price of the rate of 9 eggs for Rs.2. What is his
foil present in lesser quantity. percentage profit or loss?
(a) Rs. 52.5 (b) Rs. 55 (a) 10% loss (b) 11.11%loss
(c) Rs. 47.5 (d) Rs. 45 (c) 3% loss (d) 2.5% profit
2. Akram has two types of grapes. One is the 5. A merchant earns 25% profit in general.
fresh grapes containing 80% water and dry Once his 25% consignment was abducted
grapes containing 25% water. He sells 20 kg forever by some goondas. Trying to
dry grapes, by adding water to the dry compensate his loss he sold the rest amount
grapes, at cost price. What is the total profit by increasing his selling price by 20%. What
percentage when water is added in is the new percentage profit or loss?
proportion to that of fresh grapes to the 20 (a) 10% loss (b) 12.5% loss
kg of dry grapes? (c) 12.5% profit (d) 11.11% loss
(a) 275% (b) 200% 6. A milkman purchases 10 liters of milk at
(c) 80% (d) 125% Rs.7 per liter and forms a mixture by adding
3. A dishonest retailer cheats his wholesaler freely available water which constitutes
and customer both. He purchases 19% more 16.66% of the mixture. Later on he replaced
quantity from the wholesaler and sells 15% the mixture by some freely available water
less quantity while selling to his customer. and thus the ratio of milk is to water is 2:1.
What is profit percentage by selling the He then sold the new mixture at cost price of
goods at cost price? milk and replaced amount of mixture at
(a) 36.78% (b) 34% twice the cost of milk then what is the profit
(c) 40% (d) 36.85% percentage?
4. An egg seller sells his eggs only in the (a) 68% (b) 34%
packs of 3 eggs, 6 eggs, 9 eggs, 12 eggs (c) 40% (d) none of these
etc, but the rate is not necessarily uniform. 7. Profit on selling 10 candles equals selling
One day Raju (who is not the same egg price of 3 bulbs. While loss on selling 10
seller) purchased at the rate of 3 eggs for a bulbs equals selling price of 4 candles. Also
rupee and the next hour he purchased equal profit percentage equals to the loss
number of eggs at the rate of 6 eggs for a percentage and cost of a candle is half of the
rupee. Next day he sold all the eggs at the cost of a bulb. What is the ratio of selling
price of candle to the selling price of a bulb?
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(a) 5:4 (b) 3:2 increases in the ratio of 20:27. What is the
(c) 4:5 (d) 3:4 profit percentage of employees over the
8. Cost price of two motorcycles is same. previous wages?
One sold at a profit of 15% and the other for (a) 10% (b) 9.09%
Rs.4800 more than the first. If the net profit (c) 11.11% (d) none of these
is 20%. Find the cost price of each 12. A man sells an article at a profit of 40%.
motorcycle: If he had bought it at 40% less and sold for
(a) Rs.48000 (b) Rs.52000 Rs. 5 less, he would have gained 50%. Find
(c) Rs.36000 (d) Rs.42500 the cost price of the article.
9. One trader calculates the percentage of (a) Rs.10 (b) Rs.15
profit on the buying price and another (c) Rs.20 (d) Rs.30
calculates on the selling price. When their
selling prices are the same, then the Ratio Proportion and Ages
difference of their actual profits is Rs.85 and 1. Brass is an alloy of copper and zinc.
both claim to have made 20 % profit. What Bronze is an alloy containing 80% of copper,
is the selling price of each? 4% of zinc and 16% of tin. A fused mass of
(a) Rs. 1700 (b) Rs.2100 brass and bronze is found to contain 74% of
(c) Rs. 2550 (d) Rs.2750 copper, 16% of zinc, and 10% of tin. The
10. Kamal bought a house in Sushant city, ratio of copper to zinc in Brass is:
whose sale price was Rs.8 lakh. He availed (a) 64% and 36% (b) 33% and 67%
20% discount as an early bird offer and then (c) 50% and 75% (d) 68% and 32%
10% discount due to cash payment. After 2. If Rs. 58 is divided among 150 children
that he spent 10% of the cost price in such that each girl and each boy gets 25p
interior decoration and lawn of the house. At and 50p respectively. Then how many girls
what price should he sell the house to earn a are there?
profit of 25%? (a) 52 (b) 54
(a) Rs. 9 lakh (b) Rs.7.99 lakh (c) 68 (d) 62
(c) Rs. 7.92 lakh (d) none of these 3. A person gave 2/5 part of his income to
11. In an office the number of employees his elder son and 30% part to his younger
reduces in the ratio of 3:2 and the wages son. He saved his remaining money in three
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trusts A, B and C in the ratio of 3:5:2. If ages of Tanya and her grandfather 8 years
difference between the amounts got by his ago?
both sons is Rs. 2000, how much amount he (a) 11 : 50 (b) 11: 51
saved in trust C? (c) 11: 53 (d) 11: 54
(a) Rs. 1140 (b) Rs. 1200rs 7. Ayesha's father was 38 years of age when
(c) Rs. 1256 (d) Rs. 1300 she was born while her mother was 36 years
4. The ratio of female population of two old when her brother four years younger to
neighboring states A and B is 2:3. The sex her was born. What is the difference
ratios for A and B respectively are 926 and between the ages of her parents?
914 females per 1000 males. If the female (a) 2 years (b) 4 years
population of B is 33 million, what is the (c) 6 years (d) 8 years
total population of A? 8. Last time I visited a friend‟s farm near
(a) 46.28 million (b) 45.76 million Bangalore, he gave me a bag containing
(c) 44.98 million (d) 44.54 million 1000 peanuts, from which I took out 230
5. In an election each voter may vote for two peanuts for myself and gave away the bag
candidates. Half of the voters vote for A, but with the remainder of peanuts to three little
divide their votes between B, C and D in the brothers who live in my neighborhood and
ratio 3:2:1. Of the remainder, half vote for B told them to distribute the nuts among
and divide their votes between C and D in themselves in proportion of their ages which
the ratio 2: 1. Of the remainder, half vote for together amounted to 17 ½ years. Anil, Sunil
C and D and the remaining 840 do not vote and kapil, the three brothers, divided the
for anyone. How many votes were received nuts in the following manner: As often as
by A, B, C and D respectively? Anil took four, Sunil took three and as often
(a) 3360, 3360, 3080 and 1960 as Anil took six, Kapil took seven. When
(b) 3360, 3360, 1960 and 3080 were the respective ages (in years) of the
(c) 3450, 3210, 4120 and 1210 boys?
(d) 5000, 5000, 2500 and 1250 (a) 8, 4 ½, 6 (b) 6, 4 ½, 7
6. Tanya's grandfather was 8 times older to (c) 4 ½, 6, 7 (d) 4 ½, 7, 6
her 16 years ago. He would be 3 times of her 9. A factory employs skilled workers,
age 8 years from now. What was ratio of unskilled workers, and clerks in the
proportion 8: 5: 1 and the wages of skilled
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worker, unskilled worker and clerk are in the of Rs.350 and rest can be paid in 3 equal
ratio 5: 2: 3. When 20 unskilled workers are installments of Rs.400 for next 3 months.
employed, the total daily wages of all The rate of SI per annum charged by the
amount to Rs.318. Find the daily wages paid dealer is:
to each category of employees? (a) 239 (b) 179
17 23
(a) Rs.240, Rs.60, Rs.18
9
(c) 13 (d) None of these
17
(b) Rs.250, Rs.70, Rs. 24
3. Sanjay purchased a hotel worth Rs.10
(c) Rs.200, Rs.100, Rs. 20
lakh and Ranjith purchased a car worth
(d) Rs.245, Rs.85, Rs.15
Rs.16 lakh. The value of hotel every year
10. If 6 years are subtracted from the
increases by 20% of the previous value and
present age of Ajay and the remainder is
the value of car every year depreciates by
divided by 18, then the present age of Rahul
25%.What is the difference between the
is obtained. If Rahul is 2 years younger to
price of hotel and car after 3 years?
Denis whose age is 5 years, then what is
(a) Rs. 925000 (b) Rs. 10,53,000
Ajay‟s present age?
(c) Remains constant (d) Can‟t be
(a) 50 years (b) 60 years
determined
(c) 52 years (d) 55 years
4. A sum was put at SI at a certain rate for 2

years. Had it been put at 3% higher rate, it
Simple Interest/Compound Interest
would have fetched Rs.300 more. Find the
1. Purnima borrowed a sum of money and
sum.
returned it in three equal quarterly
(a) 3500 (b) 5000
installments of Rs.17576 each. Find the sum
(c) 4500 (d) 3000
borrowed, if the rate of interest charged was
5. The simple interest on a sum of money
16% per annum compounded quarterly.
will be Rs.300 after 4 years. In the next 6
(a) 46900 (b) 48775
years principal becomes 4 times, what will
(c) 68320 (d) None of these.
be the total interest at the end of the
2. A bicycle can be purchased on cash
10thyear?
payment of Rs.1500. The same bicycle can
(a) 2300 (b) 2700
also be purchased at the down payment
(c) 3100 (d) 2100
(initial payment, at the time of purchasing)
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6. A person lent a certain sum of money at the rate of 10 per cent per annum at the end
4% simple interest, and in 8 years the of two years is Rs.124.05.
interest amounted to Rs.340 less than the (a) Rs.10000 (b) Rs.6000
sum lent. Find the sum lent. (c) Rs.12000 (d) Rs.8000
(a) 750 (b) 550 12. Find the least number of complete years
(c) 500 (d) 700 in which a sum of money put out at 20 per
7. The compound interest on a certain sum cent compound interest will be more than
of money for 2 years at 10% per annum is doubled.
Rs.420.The simple interest on the same sum (a) 2 years (b) 3 years
at the same rate and same time will be: (c) 4 years (d) Data inadequate
(a) 350 (b) 375 Time and Work
(c) 380 (d) 400 1. P is thrice good a workman as Q and
8. A sum of money at compound interest therefore become able to finish a job in 48
amounts to thrice itself in three years. In days less than Q. Working together, they do
how many years will it be 9 times itself? it in
(a) 4 (b) 6 (a) 18 days (b) 24 days
(c) 7 (d) 3 (c) 20 days (d) 12 days
9. The Compound interest on a certain sum 2. Kamal can do a work in 15 days. Bimal is
for 2 years is Rs.40.80 and simple interest is 50 percent more efficient than kamal doing
Rs.40.Find the rate of interest per annum the work. In how many days will Bimal do
and the sum. that the work?
(a) 4% & 500 (b) 5% & 480 (a) 14 days (b) 12 days
(c) 8% & 520 (d) 6% & 500 (c) 10 days (d) 10 1 days
2
10. Find the compound interest on Rs.3200
3. Pipe A can fill a tank in 15 minutes and
1
in 2 years, the rate of interest being 7 % for
Pipe B can drain 40 liter per minute. If both
2
the first year and 121% for the second year. the pipes are opened together, the cistern is
2
full in 45 minutes, find the capacity of the
(a) Rs.620 (b) Rs.670
cistern.
(c) Rs.770 (d) Rs.760
(a) 600 liters (b) 750 liters
11. The difference between the simple and
(c) 900 liters (d) 1800 liters
the compound interest every six months at
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