Mix Quant. Quiz

Mix Quant. Quiz

1. Ayisha's age is 1/6th of her father's age. Ayisha 's father's age will be twice the age of Shankar's age after 10 years. If Shankar's eight birthdays was celebrated two years before, then what is Ayisha 's present age.

A. 10 years

B. 12 years

C. 8 years

D. 5 years

2.The present ages of A,B and C are in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. What are their present ages (in years)?

A. Insufficient data

B. 16, 30, 40

C. 16, 28 40

D. 16, 28, 36

 3.39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

A. 10

B. 13

C. 14

D. 15

4.Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?

A. Rs.182.50

B. Rs.170.5

C. Rs.175.50

D. Rs.180

5.If 6 years are subtracted from the present age of Ajay and the remainder is divided by 18, then the present age of Rahul is obtained. If Rahul is 2 years younger to Denis whose age is 5 years, then what is Ajay 's present age?

A. 50 years

B. 60 years

C. 55 years

D. 62 years

6.he difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number?

A. 60

B. 80

C. 40

D. 120

 7.The ratio of the age of a man and his wife is 4:3. At the time of marriage the ratio was 5:3 and After 4 years this ratio will become 9:7. How many years ago were they married?

A. 8 years

B. 10 years

C. 11 years

D. 12 years

8.A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the number totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many chickens were there in the farm?

A. 70

B. 120

C. 60

D. 130

9.Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

A. 10

B. 12

C. 14

D. 16

10.A manufacture offers a 10% discount on the market price of a machine and yet makes a profit of 10%. If he gains Rs. 900 per machine, what is the market price of each machine?

A. 9000

B. 12000

C. 10000

D. 11000

Answers .....

1.(D)
Explanation :
Consider Ayisha's present age = x
Then her father's age = 6x
Given that Ayisha 's father's age will be twice the age of Shankar's age after 10 years
=> Shankar's age after 10 years = ½(6x + 10) = 3x + 5
Also given that Shankar's eight birthdays was celebrated two years before =>Shankar's age after 10 years = 8 + 12 = 20
=> 3x + 5 = 20
=> x = 15/3 = 5
=> Ayisha 's present age = 5 years

2(D)

Let's take the present age of A,B and C as 4x, 7x and 9x respectively
Then
(4x - 8) + (7x – 8) + (9x – 8) = 56
=> 20x = 80
=> x = 4
Hence the present age of A, B and C are 4×4, 7×4 and 9×4 respectively
ie, 16,28 and 36 respectively.

3(B)

4(C)

5 (B)

Present age of Denis = 5 years
Present age of Rahul = 5-2 = 3
Let the present age of Ajay = x
Then (x-6)/18 = present age of Rahul = 3
=> x- 6 = 3×18 = 54
=> x = 54 + 6= 60

 6(B)

Let the original number be x.
Let A be the value obtained when x is increased by 12.5%.
Therefore, A = x + 12.5% of x
Let B be the value obtained when x is decreased by 25%.
Therefore, B = x - 25% of x
The question states that A - B = 30
i.e., x + 12.5% of x - (x - 25% of x) = 30
x + 12.5% of x - x + 25% of x = 30
37.5% of x = 30
x = 30/37.5*100 = 8

7 (D)

Let the present age of the man and his wife be 4x and 3x respectively.
After 4 years this ratio will become 9:7
=> (4x + 4)/ (3x + 4) = 9/7
=> 28x + 28 = 27x + 36
=> x = 8
=> Present age of the man = 4x = 4×8 = 32
Present age of his wife = 3x = 3×8 = 24
Assume that they got married before t years. Then
(32 – t) / (24 – t) = 5/3
=> 96 – 3t = 120 – 5t
=> 2t = 24
=> t = 24/2 = 12

8(D) 

Let there by 'x' chickens and 'y' pigs.
Therefore, x + y = 200 --- (1)
Each chicken has 2 legs and each pig has 4 legs
Therefore, 2x + 4y = 540 --- (2)
Solving equations (1) and (2), we get x = 130 and y = 70.
There were 130 chickens and 70 pigs in the farm.

9(C)

Part filled in 2 hours = 2/6 = 1/3
Remaining part = (1 - 1/3) = 2/3
 (A + B)'s 7 hour's work = 2/3
(A + B)'s 1 hour's work = 2/21
 C's 1 hour's work = { (A + B + C)'s 1 hour's work } - { (A + B)'s 1 hour's work }
 = (1/6 - 2/21) = 1/14
C alone can fill the tank in 14 hours.

10(D)

Let m price = 100
Discount = 10%
so SP = 90
Profit = 10%
Cp= 90x100/110= 900/11
Profit= Sp- Cp , (90-81.81)= 8.19
profit Rs 8.19 then  m price =100
so profit of a machine is Rs. 900 then m price is 11000

Quantitative Aptitude

1. Two trains each 200 m long move towards each other on parallel lines with velocities 20 km/h and 30 km/h respectively. What is the time that elapses when they first meet until they have cleared each other?

(a) 20 s

(b) 24.8 s

(c) 28.8 s

(d) 30 s

2. ‘X’ completes a job in 2 days and ‘Y’ completes it in 3 days and ‘Z’ takes 4 days to complete it. If they work together and get Rs. 3,900/- for the job, then how much amount does ‘Y’ get?

(a) Rs, 1,800

(b) Rs. 1,200

(c) Rs. 900

(d) Rs. 800

3. A and B can do a piece of work in 8 days, B and C can do the same work in 12 days. If A, B and C can complete the same work in 6 days, in how many days can A and C complete the same work?

(a) 8 days

(b) 10 days

(c) 12 days

(d) 16 days

4. Water contains 14 2/7% of hydrogen and the rest is oxygen. In 350 g of water, oxygen will be:

(a) 300 g

(b) 250 g

(c) 200 g

(d) None of the above

5. The monthly incomes of A and B are in the ratio 4 : 3. Each of them saves Rs. 600/-. It the ratio of their expenditure is 3 : 2, then what is the monthly income of A?

(a) Rs. 2,400

(b) Rs. 1,800

(c) Rs. 2,000

(d) Rs. 3,600

6. Successive discounts of 12 1/2% and 7 1/2% are given on the marked price of a cupboard. If the customer pays Rs.2,590 then what is the marked price?

(a) Rs.3,108

(b) Rs. 3,148

(c) Rs. 3,200

(d) Rs. 3,600

7. A train started from a station with a certain number of passengers. At the first halt, 1/3 rd of its passengers got down and 120 passengers got in. At the second halt, half of the passengers got down and 100 persons got in. Then, the train left for its destination with 240 passengers. How many passengers were there in the train when it started?

(a) 540

(b) 480

(c) 360

(d) 240

8. In a cricket match, the first 5 batsmen of a team scored runs: 30, 40, 50, 30 and 40. If these data represent a four sided figure with 50 as its one of the diagonals, then what does second diagonal represent?

(a) 30 runs

(b) 40 runs

(c) 50 runs

(d) 70 runs

9. Shyam bought 2 articles for Rs. 5.50/- each and 3 articles for Rs. 3.50/- each, and 3 articles for Rs. 5.50/- each and 5 articles for Rs. 1.50/- each. The average price for one article is:

(a) Rs. 3

(b) Rs. 3.10

(c) Rs. 3.50

(d) Rs. 2

10. The cost of an apples is twice that of a banana and the cost of a banana is 25% less than that of a guava. If the cost of each type of fruit increase by 10%, then the percentage increase by 10%, then the percentage increase in cost of 4 bananas, 2 apples and 3 guavas is

(a) 10%

(b) 12%

(c) 16%

(d) 18%

Answers Key
1.(c)
2.(b)
3.(a)
4.(a)
5.(a)
6.(c)
7.(d)
8.(c)
9.(c)
10.(a)

Quantitative Aptitude

1. Two numbers, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those two numbers is divided by 17.  The remainder will be

(1) 13

(2) 11

(3) 7

(4) 4

2. The side discount, which is equivalent to three successive discounts of 25%, 20% and 10%, is 

(1) 55%

(2) 54%

(3) 46%

(4) 45%

3. The value of an equipment depreciates by 20% each year. How much less will the value of the equipment be after 3 years?

(1) 48.8%

(2) 51.2%

(3) 54%

(4) 60%

4. In an examination, 93% of students passed and 259 failed. The total number of students appearing at the examination was

(1) 3700

(2) 3850

(3) 3950

(4) 4200

5. A sum of money lent at simple interest amounts to Rs. 880 in 2 years and to Rs. 920 in 3 years. The sum of money (in rupees) is

(1) 700

(2) 760

(3) 784

(4) 800

6. At a certain rate of simple interest, a certain sum of money becomes double of itself in 10 years. It will become treble of itself in 

(1) 15 years

(2) 18 years

(3) 20 years

(4) 30 years

7. A and B together can complete a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how many days, will all of them together complete the work?

(1) 16

(2) 15

(3) 12 

(4) 10

8. Working efficiencies of P and Q for completing a piece of work are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in the ratio

(1) 3 : 2

(2) 2 : 3

(3) 3 : 4

(4) 4 : 3

9. A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled?

(1) 72

(2) 84

(3) 108

(4) 120

10. A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/hr. then the speed (in km/hr) of the boat in still water is 

(1) 12

(2) 9

(3) 8

(4) 6

Answers Key
1.(3)
2.(3)
3.(1)
4.(1)
5.(4)
6.(3)
7.(1)
8.(4)
9.(4)
10.(2)

Quantitative Aptitude

1. A man bought an old typewriter for Rs. 1200 and spent Rs. 200 on its repair. He sold it for Rs. 1680. His profit per cent is:

(1) 20%

(2) 10%

(3) 8%

(4) 16%

2. An item costing Rs. 840 was sold by a shopkeeper at a gain of 10% and it was again sold by the new buyer at a loss of 5%. Final selling price of the item is:

(1) Rs. 877.80

(2) Rs. 798

(3) Rs. 924

(4) Rs. 37.80

3. 100 oranges are bought for Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

(1) 15% loss

(2) 15% gain

(3) 14 2/7% loss

(4) 14 2/7% profit

4. A merchant fixes the sale price of his goods at 15% above the cost price. He sells his goods at 12% less than the fixed price. His percentage of profit is:

(1) 2 1/2

(2) 1 1/5

(3) 1 1/2

(4) 2 

5. A train 800 metres long is running at the speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in metres) is:

(1) 77200

(2) 500

(3) 1300

(4) 13

6. A man covered a certain distance at some speed. Had he moved 3 km per hour faster, he would have taken 40 minutes less. If he had moved 2 km per hour slower, he would have taken 40 minutes more. The distance (in km) is:

(1) 20

(2) 35

(3) 36(2/3)

(4) 40

7. A man rows a boat 18 kilometers in 4 hours downstream and returns upstream in 12 hours. The speed of the stream (in km per hour) is:

(1) 1

(2) 1.5

(3) 2

(4) 1.75

8. Two trains one 160 m and the other 140 m long are running in opposite directions on parallel rails, the first at 77 km an hour and the other at 67 km an hour. How long will they take to cross each other?

(1) 7 seconds

(2) 7 1/2 seconds

(3) 6 seconds

(4) 10 seconds

9. In an examination 70% of the candidates passed in English. 80% passed in Mathematics. 10% failed in both the subjects. If 144 candidates passed in both, the total number of candidates was:

(1) 125

(2) 200

(3) 240

(4) 375

10. 8% of the voters in an election did not cast their votes. In this election, there were only two candidates. The winner by obtaining 48% of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was:

(1) 21000

(2) 23500

(3) 22000

(4) 27500

Answers Key
1.(1)
2.(1)
3.(4)
4.(2)
5.(2)
6.(4)
7.(2)
8.(2)
9.(3)
10.(4)

Quantitative Aptitude

1. The HCF and LCM of two numbers are 18 and 378 respectively. If one of the numbers is 54, then the other number is

(1) 126

(2) 144

(3) 198

(4) 238

2. If the percentage of profit calculated on selling price of an article is 20, percentage of profit calculated on cost price will be

(1) 16

(2) 24

(3) 25

(4) 28

3. If the cost price of 10 chairs be equal to selling price of 16 chairs, then the loss percent is

(1) 9.6

(2) 17.5

(3) 20

(4) 37.5

4. Two numbers are in the ratio 3 : 5. If each number is increased by 10, then ratio becomes 5 : 7. The smaller number is

(1) 9

(2) 12

(3) 15

(4) 25

5. A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit when sold in cash is

(1) 10.5

(2) 15

(3) 9

(4) 8.5

6. A number is increased by 10% and then it is decreased by 10%. The net changed in the number is 

(1) no increase or decrease

(2) 2% decrease

(3) 1% increase

(4) 1% decrease

7. A man travelled a distance of 61 km in 9 hours partly on foot at the rate of 4 km/hr and partly on bicycle at the rate of 9 km/hr. The distance travelled on foot was

(1) 12 km

(2) 16 km

(3) 20 km

(4) 24 km

8. If the simple interests on a certain sum of money at 5% per annum for 4 years and 3 years differ by Rs. 42, the sum (in Rs.) is

(1) 840

(2) 820

(3) 800

(4) 760

9. An amount of Rs. 6,000 lent at 5% per annum compound interest for 2 years will become

(1) Rs. 600

(2) Rs. 6,600

(3) Rs. 6,610

(4) Rs. 6,615

10. The average age of 9 students and their teacher is 16 year. The average age of the first four students is 19 years and that of the last five is 10 years. The teacher’s age is

(1) 36 years

(2) 34 years

(3) 30  years

(4) 28 years 

Answers Key:
1. (1)
2. (3) 
3. (4) 
4. (3) 
5. (1)
6. (4) 
7. (2) 
8. (1) 
9. (4)
10. (2)

Quantitative Aptitude

1. A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is Rs. 880, is 

(1) Rs. 704

(2) Rs. 640

(3) Rs. 774

(4) Rs. 680

2. The equivalent single discount for two successive discounts of 15% and 10% is

(1) 25% 

(2) 20%

(3) 23.5%

(4) 20.5%

3. The marked price of a watch is Rs. 160. A customer buys it for Rs. 122.40 on two successive discounts. If the first discount is 10%, then the second discount is 

(1) 10%

(2) 12%

(3) 15%

(4) 18%

4. In 30 litres mixture of acid, the ratio of acid and water is 2 : 3. What amount of water should be added to the mixture so that the ratio of acid and water becomes 2 : 5?

(1) 10 litres

(2) 15 litres

(3) 18 litres

(4) 12 litres

5. If the sales tax on a television set increases form 71/2% to 8%, what more amount will have to be paid for the television whose price (excluding sales taxes) is Rs. 19000?

(1) Rs. 190

(2) Rs. 95

(3) Rs. 180

(4) Rs. 90

6. Two numbers are more than the third number by 20% and 50% respectively. Fist number is what per cent of the second number?

(1) 100%

(2) 150%

(3) 80%

(4) 120%

7. The ratio of the C.P. and S.P. of an article is 20 : 21. What is the gain per cent?

(1) 5%

(2) 5.5%

(3) 6%

(4) 6.25%

8. A man sells two pipes at Rs. 12 each. He gains 20% on one and loses 20% on the other. In the whole transaction, there is 

(1) neither loss nor gain 

(2) profit of Re.1

(3) loss Re. 1

(4) Profit of Rs. 2

9. A man sells 320 mangoes at the cost price of 400 mangoes. His gain per cent is

(1) 10%

(2) 15%

(3) 20%

(4) 25%

10. If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for three years is Rs. 36.60, then the sum is 

(1) Rs. 8000

(2) Rs. 8400

(3) Rs. 4400

(4) Rs. 4800

Answers Key
1.(2)
2.(3)
3.(3)
4.(4)
5.(2)
6.(3)
7.(1)
8.(3)
9.(4)
10.(4)

Quantitative Aptitude

1. The distance between Howrah and New Delhi via Patna is 1440 km, and the distance between Howrah and New Delhi via Gaya is 5% less. Then the distance between the places via Gaya (in km) is:

(1) 1398

(2) 1368

(3) 1388

(4) 1268

2. The average of five numbers is 140. If one number is excluded, the average of the remaining four numbers is 130. The excluded number is:

(1) 135 

(2) 134 

(3) 180

(4) 150

3. Ratio of the principal and the amount after 1 year is 10 : 12. Then the rate of interest per annum is:

(1) 12%

(2) 16%

(3) 18%

(4) 20%

4. If toys are bought at Rs. 5 each and sold at Rs. 4.50 each, then the loss is:

(1) 10%

(2) 11%

(3) 12%

(4) 13%

5. Ravi travels 300 km partly by train and partly by car. He takes 4 hours to reach, if he travels 60 km by train and rest by car. He will take 10 minutes more if he were to travel 100 km by train and rest by car. The speed of the train is:

(1) 50 km/hr

(2) 60 km/hr

(3) 100 km/hr

(4) 120 km/hr

6. Selling an article at a profit of 5%, Mr. X gets Rs. 150 more than selling it at a loss of 5%. Mr. X purchased the article at:

(1) Rs. 15,000

(2) Rs. 1500

(3) Rs. 150

(4) Rs. 15

7. What is the greatest number which will divide 110 and 128 leaving a remainder 2 in each case?

(1) 8

(2) 18

(3) 28

(4) 38

8. Both the end digits of a 99 digit number N are 2. N is divisible by 11, then all the middle digits are:

(1) 1

(2) 2

(3) 3

(4) 4

9. A can do a piece of work in 12 days. B is 50% more efficient than A. In how many days B will finish the same work?

(1) 6 days

(2) 8 days

(3) 12 days

(4) 24 days

10. Two successive discounts of 5%, 10% are given for an article costing Rs. 850. Present Cost of the article is (in Rs):

(1) 725

(2) 726.25

(3) 700

(4) 650

Answers Key
1.(2)
2.(3)
3.(4)
4.(1)
5.(2)
6.(2)
7.(2)
8.(4)
9.(2)
10.(2)

general awareness

01. The process of making of  Camphor Vapour from solid Camphor is called-

(A) Evaporation  

(B) Freezing 

(C) Melting  

(D) Sublimation 

02. Large destructive sea waves resulting from an earthquake are called

(A) Tidal waves 

(B) Subduction

(C) Currents 

(D) Tsunami

03. Transpiration would be minimum when there is

(A) bright sunlight 

(B) high humidity

(C) wind blowing 

(D) high temperature

04. Without using soil, plants can also be grown in

(A) distilled water 

(B) salt solution

(C) sugar solution 

(D) nutrient solution

05. Tamil Nadu remains dry during the South-West monsoon period because

(A) it lies in the rain shadow region

(B) of the presence of Eastern Ghats

(C) of Palghat and Thalghat passes

(D) of wider coastal plains

06. The main reason for the execution of Guru Arjun Singh was that 

(A) he was conspiring against Mughals 

(B) he refused to embrace Islam

(C) he had blessed Prince Khusro who had revolted against Jahangir

(D) Jahangir did not like him

07. The famous Kohinoor diamond was presented to Humayun by the king of

(A) Persia 

(B) Gwalior

(C) Kandahar 

(D) Marwar

08. The first Muslim female ruler of Delhi was

(A) Chand Bibi 

(B) Nur Jehan

(C) Razia Sultana 

(D) Jehan Ara

09. The Golden Quadrilateral Project is related to

(A) Waterways  

(B) Airways

(C) Roadways 

(D) Railways

10. Chandragupta II got the title of 'Vikramaditya' meaning equal to

(A) Sun God 

(B) Agni

(C) Vayu 

(D) Indra

Answers ....
01. (D)
02. (D)
03. (B)
04. (D)
05. (A)
06. (C)
07. (B)
08. (C)
09. (C)

10. (A)