Aptitude - Practice Questions PDF

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SURDS & INDICES 1. Find the value of X if a) 2

()

x-1

=( )

b) 1

x-3

c) 4

d) 0

2. What is the value of x, if ( = 36 ? a) 1 b) 2 c) 4

d) 0

3. What is the value of x, if a) 2

b) 3

c) 5

d) 6

4. What is the value of x, if 3 (3x+1) = 81 ? a) 1 b) 2 c) 3 5. If 2 –x = 3 –y = 6 z a) 1

d) 4

, then what is the value of ( + ) ? b) - 1

c) 2

d) 0

6. What is the value of x, if 2 x+4 – 2 x+2 = 3 ? a) -2 b) 2 c) 4

d) -4

7. If x ½ + x -1/2 = 3, then find the value of x 2 + x -2 . a) 48 b) 46 c) 47 d) 49 8. If 5a = 3125, then what is the value of 5(a - 3) ? 25

b)

125

c)625

d)

1625

9. If 3(x - y) = 27 and 3(x + y) = 243, then what is the value of x? a) 0 10.

b) 2

(0.04)-1.5 =……? a) 25 b)125

c) 4

c)625

d) 6

d)250

11. What is the value of ( 2 ?

a) 4

b) 16

c) 32

d) 64

ANSWER KEY (Surds & Indices) 1

A

2

c

3

d

4

a

5

d

6 11

a b

7

c

8

a

9

c

10

b

LOGARITHM 1. The Value of log864 – log644096 is a) 1 b) 2

c) 0

d) - 1

2. If log 5 6 = a, what is log5 (1/30)? a) (a+1) b) (a-1)

c) -(a+1)

d) 1

c)

d) -1/3

c)

d) -16

3.

What is the value of log512 8 ? a) 1/3 b) 3

4. Find x, if log 8 x + log 4 x = 5. a) 64 b) 125

5. If log 2 = 0.30103, then what is the number of digits in 250 ? a) 15 b) 16 c)

d) 18

6. What is the value of log16 64 + log8 16? a) 5/6 b) 10/3 c) 17/6

d) 12

7. If log x + log y = log (x – y), then what is the value of y? a)

b.

c.

8. If 5 log 27 y + 2log 9 (81y) = 20 then what is the value of y? a) 1/7 b) 81 c) 243

d) 729

9. If log 2 = 0.30103, then what is the number of digits in log 10 80 ? a) 1.6020 b) 1.9030 c) 3.9030 d) 4.2210 10. What is the value of x, if log2 { log4 (log3 x)} = 0 ? a) 81 b) 9 c) 64

d) 16

11. What is the value of x, if log 4 x = 5/2 ? a) 4 b) 16 c) 64

d) 32

ANSWER KEY (LOGARITHM) 1

c

2

c

3

a

4

a

5

b

6 11

c d

7

c

8

d

9

b

10

a

PERCENTAGE 1. If the numerator of a fraction is increased by 200% and the denominator is increased by 250% the resultant fraction is 3/14. What is the original fraction? a) 1/2 b) ¾ c) ¼ d) 1/8 2. Three-fourth of a number is equal to 60% of another number and the difference between the two numbers is 20. What is the sum of the two numbers? a) 220 b) 180 c) 170 d) 320 3. In a election between two candidate 10% of votes were invalid winner got 70% of valid votes and was elected by a majority of 900 votes. Find the total number of votes? a)2500 b)3000 c)2750 d) 2000 4. The price of petrol is increased by 10%. By how much percent the consumption be reduced so that the expenditure remains the same? a)11.11% b) 9.09% c) 10% d) 8.33% 5. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats? a) 2 : 3 : 4 b) 6 : 7 : 8 c) 6 : 8 : 9 d)None of these

6. In a college, 12% of the total students are interested in sports, and

3 4

of the total students are interested in

dancing. 10% of the total students are interested in singing and the remaining 15 students are not interested in any activity. How many students are there in the college? a) 450

b)500

c)600

d)None of these

7. The present population of a town is 10000 and was 8000 two years ago. If it grows at the same rate, what will be the population 2 years hence? a)12000

b)12500

c)12750

d)12755

8. 72% of 390 +28% of 165 = ? + 13 a)320

b)327

c)331

d)314

9. The population of a town is 126800. It increases by 15% in the first year and decreases by 20% in the second year. What is the population of the town at the end of 2 yr?

a)174984

b)135996

c)116656

d)145820

10. The price of rice is reduced by 5%. How many kilograms of rice can now be bought for the money, which was sufficient to buy 50 kg of rice earlier? a)52.63 kg b)50.40 kg c)42.30 kg d)60.50 kg 11. The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25%, a mean score of 31. The mean score of remaining 55% is a)54.6% b)45% c)50% d)51.4% 12. If sales tax is reduced from 5% to 4%, then what difference it will make if you purchase an item of Rs. 1000? a) 10 b) 20 c) 30 d) 40 13. If 15% of 40 is greater than 25% of a number by 2, the number is a) 15 b) 16 c) 20 d) 21 14. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got a) 60% b) 65% c) 57% d) 58%

15. . A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets. a) 10% b) 50% c) 20% d) 10%

ANSWER KEY (PERCENTAGE)

1

c

2

b

3

a

4

b

5

a

6 11

b d

7 12

b A

8 13

d B

9 14

c c

10 15

a b

PROFIT & LOSS 1. If the marked price of 30 articles is equal to selling price of 40 articles, then find the % discount? a)25% b)33.33% c)75% d) 20% 2. A person sells one house for Rs 75 lakhs, making profits of 25%. He sells another house at a loss of 20%, and on the whole he makes neither profit nor loss. What is the cost of the second house? a) 50 lakhs b) 41 lakhs c) 75 lakhs d) 60 lakhs

3.

A man bought a mobile and a laptop for Rs. 78000. He sold the mobile at a gain of 25% and the laptop at a loss of 15%, thereby gaining 5% on the whole. Find the cost price of mobile. a) Rs. 39000

b) Rs. 34000

c) Rs. 30000

d) Rs. 38000

e) Rs. 32000

4. One shopkeeper bought 400 meter cloth at Rs 40,000. and sell at 200 Rs per one and half meter cloth. What is the gain or loss percent? a)25% b)33.33% c)75% d) 20% 5. A LG shop offers a 10% discount on a microwave, whose marked price is Rs 8000, and also gives a Stand worth Rs.1200 as a gift with it. Even then, the showroom earns a profit of 20%. The cost price per microwave is : a) Rs 7200 b) Rs. 6,000 c) Rs 5,000 d) Rs. 4,000 6. The printed price on a book is Rs 400, a bookseller offers a 10% discount on it. If he still earns a profit of 20%, then the cost price of the book is : a) Rs 280 b) Rs 352 c) Rs360 d) Rs 300 7. Satish bought 10 cycles for Rs. 1,750 each. He sold 4 cycles for Rs 8,400, 3 for Rs 1900 each . At what price should he sell the remaining cycles so as to earn an average profit of Rs 320 per cycle? a) Rs 1,900 b) Rs 2,000 c) Rs. 1,800 d) Rs 2,050 e) Rs 2,200 8. If a man reduces the selling price of a fan from Rs 400 to Rs 380 and his loss increases by 20% .What is the cost price of the fan? a) Rs 480 b) Rs 352 c) Rs360 d) Rs 500 9. A man purchased a watch for Rs. 400 and sold it at a gain of 20% of the selling price. The selling price of the watch is: a) Rs 450 b) Rs 500 c) Rs. 420 d) Rs 450 10. If the cost price of 20 articles is equal to the selling price of 15 articles, find the profit percent. a)33 %

b)33 %

c)33 % d)33 %

ANSWER KEY (PROFIT & LOSS)

1

a

2

b

3

a

4

b

5

c

6

d

7

e

8

d

9

b

10

b

SIMPLE INTEREST & COMPOUND INTEREST 1.

The amount on Rs A for A months at A % p.a.is: a) A (

)

b) A (

)

c) A (

)

d)A ( )

2. If a sum of money doubles itself in 9 years at simple interest, then it will become 4 times itself in how many years? a) 18 yrs

b) 27 yrs

c) 36 yrs

d) 45 yrs

3. A sum of money triples itself at compound interest in 3 years. In 9 years it will be a)6 times the principal b) 12 times the principal c) 18 times the principal d) 27 times the principal 4. A sum amounts to Rs 2916 in 2 yr and Rs 3149.28 in 3 yr at compound interest. The sum is a)Rs 1500 b)Rs 2500 c)Rs 2000 d)Rs 3000 5. A sum amounts to Rs 2916 in 2 yr and Rs 3149.28 in 3 yr at compound interest. The sum is a)Rs 1500 b)Rs 2500 c)Rs 2000 d)Rs 3000 6. The simple interest on a certain sum of money for 2 ½ yr at 12% per annum is Rs 20 less than the simple interest on the same sum for 3 ½ yr at 10% per annum. Find the sum. a)Rs 800 b)Rs 750 c)Rs 625 d)Rs 400 7. The simple interest on a certain sum in 2 years is Rs 600 and the compound interest is Rs 630. Find the rate of interest per annum.

8.

a) 5% b) 10% c) 4% d) 20% In how many years a sum of Rs 6250 will amount to Rs 7290 at 8 % p.a. compound interest? a) 3

b) 4

c) 5

d) 2

9. Find the least number of integral years in which a sum of money invested at 20 % p.a. compound interest will become more than double itself. a) 3 b) 4 c) 5 d) 6 10. The difference between simple interest and compound interest in 2 years at 5% On a certain sum is Re 1. Find the sum? a) Rs 250

b) Rs 300

c) Rs 375

d) Rs 400

ANSWER KEY (SI & CI)

1

c

2

b

3

d

4

b

5

b

6

d

7

b

8

d

9

b

10

d

NUMBER SYSTEM 1. A number is to be multiplied by the fraction 4/5. But Alok, by mistake multiplied it by 5/4 and obtained the number 81 more than the correct one. What was the original number ? a) 200

b) 120

c) 180

d) 240

2. One third of a two digit number exceeds its one fourth by 7. What is the sum of digits of the number? a) 72

b) 84

c) 15

d) 12

3. 3 CDs and 2 Pen drives cost Rs. 790. 2 CDs and 3 Pen drives cost Rs.1110. What is the cost of one pen Drive? a) 30 b) 350 c) 25 d) 300 4. Recycling 900 kg of paper saves 17 trees. How many trees are saved when 1200 kg of paper are recycled? a)19 b)25 c)20 d)29 5. if 8 25 divided by 7, then what is reminder? a)25 b)1 c)0

d)2

6. The number 642 is added to a 3-digit number 7x2 to give a 4 digit 13y4 which is exactly divisible by 11. Find the value X × Y. a)12 b)25 c)20 d)22 7. What is the remainder when 235 is divided by 5? a) 3 b)1 c)0

d)2

8. If 764xy is divisible by 90 , then what will be the value of x+y ? a) 1 b) 3 c) 5 d) 6 9. In a company 3/5 of people know shorthand 1/4th know typing and 1/5 know both. What fraction of people do not know both? a) 1/2 b) ¾ c) ¼ d) 7/20 10. In a farm 50 hens lays 200 eggs in 2 days, how many days that 20 hens to lay 400 eggs? a) 20 b) 10 c) 40 d) 30 11. Ram is five year elder to his youngest sibling shreya. Shreya is two years younger than her brother Ritesh. Ritesh is 13 years old and is Ram’s brother. How old will Ram be in two year from now ? a) 19 b) 16 c) 18 d) 20 12. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: a) 18 b) 24 c) 42 d) 81

13. A and B are 3 years 2 years old respectively. Their father is 40 years old. After how many years, father age would be the twice of combined age of A and B? a) 18 b) 14 c) 10 d) 12 14. A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day? a) 18 b) 24 c) 42 d) 8 15. If 3/p = 6 and 3/q = 15 then p - q = ? a) 1/3 b) 2/5 c) 3/10

d) 5/6

16. If x(a) = a2+2a-1, then x(8)-x(5) = a) 43 b) 45

d) 3

c) 38

17.

If one-third of one-fourth of a number is 15, then three-tenth of that number is: a) 35 b)36 c) 45 d) 54

18.

A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were? a) 911 b)1001 c) 1009 d) 991

19.

Silu and Meenu were walking on the road. Silu said, "I weigh 51 Kgs. How much do you weigh?"Meenu replied that she wouldn't reveal her weight directly as she is overweight. But she said, "I weigh 29 Kgs plus half of my weight."How much does Meenu weigh? a) 58kg b)36kg c) 45kg d) 55kg

20.

A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is: a) 145 b) 253 c) 370 c) 352 A box contains 90 nuts each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg., then the weight of the empty box is : a) 10 kg b) 10.5 kg c) 11 kg d) 11.5 kg

21.

22.

The sum of 3 single digit numbers is 15 less than their product. If we subtract 2 from first given number then sum of these numbers will become 7 more than their product. The product of given 3 numbers will be? a) 24 b) 18 c) 15 d) 18

23.

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is: a) 380 b) 395 c) 400 d)425

24.

If 2x+y = 11, 2y+z = 12 and z+2x = 8, find the value of 2x + 3y +4z. a) 29 b) 33 c) 25 d) 39

25.

Two girls go for shopping. In the first shop they spend half of what they had in their purse and Rs 2 more. In the next shop, they spend half of remaining and Rs 5. In the next shop, they spent the remaining Rs 5 on coffee. How much did they start with? a) Rs 40 b) Rs 32 c) Rs 44 d) Rs 42

26.

If a person having Rs 1000 and he want to distribute this to his five children in the manner that each son having Rs 20 more than the younger one , what will be the share of youngest child? a) Rs1 40 b) Rs 180 c) Rs 150 d) Rs 160

27.

28.

Find the last digit of the product 758 657 × 9 765 a) 2 b) 7 c) 3

30.

d) 9

Find the last digit of the expression : 127 881 + 33 567 × 34 123 . a) 3 b) 5

29.

.

c) 2

d) 6

How many zeros are there at the end of 120! ? a) 2 b) 4 c)6

d) 28

What is the highest power of 8 that can divide 70! ? a) 2 b) 22 c)6 d) 28

ANSWER KEY (NUMBER SYSTEM)

1

c

2

d

3

b

4

d

5

a

6 11 16 21 26

a c c d d

7 12 17 22 27

a b d a a

8 13 18 23 28

a c d c b

9 14 19 24 29

b d a a d

10 15 20 25 30

b c b c b

HCF & LCM 1. The product of two numbers is 2028 and their H.C.F. is 13. Find the sum of the digits of LCM of the numbers. a)156 b)12 c)165 d)13 2. The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

a) 123

b) 127

c) 235

d)305

3. What is the smallest number, which when divided by 7, 18, 56 and 36 leaves a remainder 0? a) 390 b) 392 c) 504 d) 1008 4. Find the greatest Number when that divides 37 and 60 leaves same remainder in each case. a) 23 b) 1 c) 3 d) None 5.

Find the greatest number of 3 digits that when divides 2400, 3400 and 6400 will leave same remainder a) 400 b) 100 c) 500 d) None

6. Six bells commence tolling together and toll at intervals 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times they toll together? a) 16 b) 30 c) 31 d) 15 7. Find the least number that should be added to 2497 so that the sum is exactly divisible by 3,4, 5 and 6. a) 3 b) 13 c) 23 d) 33 8. Find the least number that when divided by 12, 15 and 18 leaves remainder 5, 8 and 11 respectively. a) 187 b) 183 c) 180 d) 173

ANSWER KEY (HCF & LCM)

1

b

2

b

3

a

6

a

7

c

8

d

4

a

CLOCKS & CALENDAR 1. A clock is started at noon. By 10 minutes past 5, the hour hand has turned through: a) 1450 b) 1500 c) 1550 d)1600

2. If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004? a) Sunday b) Saturday c) Tuesday d) Wednesday

3. How many times do the hands of a clock coincide in 12hrs? a) 3 b)11 c) 12 d) 6

5

c

4. The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is a) 720 b) 180 c) 75 d) 65 e) 60 5. Find the angle between the Hour hand and minute hand at 3.20. a) 150 b) 200 c) 250 d)300 6. At what time between 2 and 3 O’ clock do the hand of a clock coincide? a) 2.10

b) 2. 10

c) 2. 10

7. Which day was 15th August, 1947? a) Sunday b) Monday c) Saturday

d) None of these

d) Friday

ANSWER KEY (CLOCKS & CALENDAR)

1

c

2

a

3

6

c

7

d

8

a

4 9

c

5

b

10

RATIO & PROPORTION 1. In a group of cows and hens, the numbers of legs are 14 more than twice the number of heads. The number of cows is :

(a) 5

(b) 7

(c) 10

(d) 12

2.A bag contains 1 rupee 2 rupees and 5 rupees coins in the ratio 4:8:5. The Total Amount was Rs.90. The number of 5 rupee coin was (a) 8 (b)16 (c)15 (c) 10 3.A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speed is (a) 3 : 4 (b) 4 : 3 (c) 3 : 5 (d) 50 : 3 4.A invested Rs. 76,000 in a business. After few months, B joined him Rs. 57,000. At the end of the year, the total profit was divided between them in ratio 2 : 1. After bow many months did B join? (a)3months

(b)4months

(c)5months

(d)6months

5. In a certain office, 1 / 3 of the workers are women, 1 / 2 of the women are married and 1 / 3 of the married women have children...