Quantitative Aptitude

1. A cistern has 3 pipes A, B and C. A and B can fill it in 3 hours and 4 hours respectively while C can empty the completely filled cistern in 1 hour. If the pipes are opened in order at 3, 4 and 5 p.m. respectively, at what time will the cistern be empty?

(1) 6 : 15 p.m.

(2) 7 : 12 p.m

(3) 8 : 12 p.m.

(4) 8 : 35 p.m.

(5) None of these  

2. A steamer goes downstream from one port to another in 4 hours. it covers the same distance upstream in 5 hours. if the speed of stream is 2 km/hr., the distance between the two ports ?

(1) 50 km

(2) 60 km

(3) 70 km

(4) 80 km

(5) None of these 

3. In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy, the same elements are in the ratio 2 : 3. In what ratio should the two alloys be mixed so that the resultant alloy contains zinc and copper in the ratio 5 : 8?

(1) 3 : 10

(2) 3 : 7

(3) 10 : 3

(4) 7 : 3

(5) None of these

4. Mr. Nilesh Agrawal opened a workshop investing Rs. 40,000. He invested additional amount of Rs. 10,000 every year. After two years his brother Suresh joined him with an amount of Rs. 8,5000. Thereafter Suresh did not invest any additional amount. On completion of four years from the opening of workshop they earned an amount of Rs. 1,95,000. What will be Nilesh’s share in the earning? 

(1) Rs. 85000

(2) Rs.1,10,000

(3) Rs. 1,35,000

(4) Rs. 95,000

(5) None of these 

5. A tradesman, who was selling one kind of tea at Rs. 96 per kg with a loss of 20% and another kind at Rs. 140 per kg with a gain of 25%, mixes the two together in equal ratio. He sells the mixed tea at Rs. 174 per kg.What is his gain percentage? 

(1) 50%

(2) 45%

(3) 30%

(4) 25%

(5)  None of these

Directions (Q.6-10): Study the following graph carefully to answer the questions given below:

The table graph shows the monetary policy statement issued by the RBI in different quarters.

Quarters ® Rate ¯	Q1	Q2	Q3	Q4
Repo Rate	6.75%	8.5%	8.25%	8%
Reverse Repo	5.75%	7.5%	7.25%	7%
CRR	4%	4.25%	4.5%	4%
SLR	23%	22.5%	23.5%	22%
MSF	8%	8.5%	8.75%	9%
Bank Rate	8%	8.5%	8.75%	9%

6. The difference between the average of the rates of the fourth quarter and that of the first quarter ?

1) 0.67

2) 0.82

3) 0.58

4) 0.43

5) 0.51

7. The ratio of the sum of the Repo Rates in all the given quarters to that of the Reverse Repo Rates in all the given quarters ?

1) 63 : 55

2) 61 : 59

3) 79 : 42

4) 71 : 57

5) None of these

8. The sum of the Repo Rates in all quarters is what % of the sum of SLRs in all quarters?

1) 30.2%

2) 32.3%

3) 28.3%

4) 34.6%

5) 35.6%

9. The average of all the rates in the third quarter is what per cent (approx) of the average of all the rates of the first quarter?

1) 95%

2) 83%

3) 110%

4) 75%

5) 125%

10. What is the sum of the average of MSF and that of Bank Rates?

1) 15.251

2) 17.125

3) 18.15

4) 20.632

5) None of these

Answers:

1.2 

2.4

3.1

4.2

5.1

6.(3); Req. Difference=59/6-55.5/6=0.58 (approx)

7.(1); Ratio= 31.5 : 27.5 

= 63 : 55

8.(4); 31.5/91×100=34.6 (approx)

9.(3); Req%=61/55.5×100=110% (approx)

10.(2)

Quantitative Aptitude

QUANT MIX QUIZ

1.A bag contains some Rs. 5 Coins. Rs. 2 coins and Rs. 1 coins with total number of coins being 52, and the total amount being Rs. 125. The number of five rupee and two rupee coins is 37. The numbers of Rs. 5 coins are ………

(a) 12

(b) 15

(c) 18

(d) 21

(e)None of these

2.The sum of the ages of A and B is four-third the age of C. The age of B is two-thirds the age of C. If the sum of the ages of the three persons is 35 years, find the age of B.

(a) 20 years

(b) 10 years

(c) 18 years

(d) 15 years

(e)None of these

3.There are four numbers P, Q, R and S. P is of the total of Q, R and S. Q is  is of the total of the P, R and S. R is  of the total of P, Q and S. If the total of the four numbers is 3480,

then find the value of S.

(a) -2124

(b) -1740

(c) 1567

(d) Cannot be determined

(e)None of these

4.Ajay and Vijay have some marbles with them. Ajay told Vijay “if you give me x marbles, both of us will have equal number of marbles”. Vijay then told Ajay “if you give me twice as many marbles, I will have 30 more marbles than you would”. Find x.

(a) 4

(b) 5

(c) 6

(d) 8

(e)None of these

5.A man travelled a total distance of 1800 km by plane, train and bus.  He travelled one –third of the whole trip by plane and the distance travelled by train is three-fifth of the distance travelled by bus. Find the distance travelled by bus.

(a) 450 km

(b) 850 km

(c) 1200 km

(d) 750 km

(e)None of these

6.Ajay bought a total of 12 oranges and 18 bananas for Rs. 84. When the cost of each orange doubles, he could buy 6 oranges and 16 bananas for Rs. 80. Find the cost of each banana.

(a) Rs. 3

(b) Rs. 2

(c) Rs. 4

(d) Rs. 5

(e)None of these

7.The cost of one pen and two books together is Rs. 70. The cost of three pens and nine books together is Rs. 300. Find the difference between the cost of a book and a pen.

(a) Rs. 30

(b) Rs. 20

(c) Rs. 10

(d) Rs. 25

(e) None of these

8.The present average age of a couple and their daughter is 35 years. Fifteen year from now, the age of the number will be equal to the sum of present ages of the father and the daughter. Find the present age of the mother.

(a) 43 years

(b) 40 year

(c) 48 years

(d) 45 years

(e)None of these

9.The cost of three pens, four erasers and ten sharpeners is Rs. 75. The cost of six pens. Seven erasers and twenty sharpeners is Rs. 146. Find the cost of each eraser.

(a) Rs. 3

(b) Rs. 4

(c) Rs. 5

(d) Rs. 6

(e)None of these

 

10.Shyam and Ram have some chocolates with each of them, if shyam gives 5 chocolates of Ram, both will have equal number of chocolates. If Ram gives the same number of chocolates to shyam, shyam would have twice as many    chocolates as Ram. Find the number of chocolates Ram has.

(a) 25

(b) 30

(c) 35

(d) 20

(e)None of these

Answers :

1.(a) 

Let the number of Rs. 5 coins be x, Rs. 2 coins be y and Rs. 1 coins be Z.  

x + y + z = 52  ………………….. (1) 

5x + 2y + z = 125  …………………… (2)   

x  + y = 10 …………..(3) (2) ……….(1) 

Gives that 4x + y = 73 

x  + y = 37 

3x = 36 

 x = 36/3=12 

Number of Rs. 5 coins = 12 

2.(b) 

Let the age of A, B and C be a, b and c respectively. 

a + b = 4/3c,  b = 2/3c 

a + b + c = 35 = 4/3c + c = 35 

7/3c = 35 

C = 15, b = 2/3c = 10. 

3.(b) 

P = Q+ R+ S

Q = P+ R+ S

R = P+ Q+ S

By adding above all, we get

P+ Q+ R = 2(P+ Q+ R)+ 3S

-(P+ Q+ R) = 3S

Since

P+ Q+ R+ S = 3480

-3S+ S = 3480

hence, S = -1740 

4.(b) 

Let the number of marbles with Ajay and Vijay initially be A and V. If Vijay gives x marble to Ajay then vijay and Ajay would have V – x and A + x marbles respectively. 

 V – x = A + x …………………….. (1) 

If Ajay gives 2x marble to Vijay then Ajay and Vijay would have A – 2x and V + 2x marbles respectively. 

V + 2x –(A-2x) = 30 = V – A + 4x = 30 ……………… (2) 

From (1) we have V -  A = 2x 

Substituting V – A = 2x in equation (2) 

6x = 30 = x = 5. 

5.(d) 

Total distance travelled = 1800 km 

Distance travelled by plane = 600 km 

Let distance travelled by bus = x 

Distance travelled by train = 3x/5  

x + 3x/5+ 600=1800 

 8x/5=1200=x=750 km

6.(b)

Let the cost of each orange and each banana be a and b respectively. 

12a + 18b = 84 

If the cost of each orange doubles, it becomes 2a

6(2a) + 16b = 80 

12a + 16b = 80 

Substracting equation (2) from (1) we get 2b = 4
hence, cost of each banana = 2 Rs.

7.(b) 

Let the price of book be y and price of pen be x. 

x + 2y = 70 

3x + 9y =300 

By solving the equations we get x = 10 and y = 30 

The difference between the cost of book and pen is 30 – 10 = Rs. 20 

8.(d) 

Let the present age of the father, mother and daughter be f, m and d respectively. 

 (f+m+d)/3=35

f + m + d = 105  …………………….. (1) 

m + 15 = f + d 

Substituting f + d as m + 15 in (1), 

we get 2m + 15 = 105 

2m = 90 =m = 45 years 

9.(b) 

Let the cost of each pen, eraser and sharpener b p, e and s respectively. 

3p + 4e + 10s = 75 

6p + 7e + 20x = 146 

Multiplying the first of the above equations by 2 and subtracting the second equation from it, 

we get e = 4

10.(a) 

Let the number of chocolates with shyam and Ram be S and R respectively. If Shyam gives 5 chocolates to Ram, he would have S – 5 chocolates and Ram would have R + 5 chocolates. 

So S – 5 = R + 5   

S – R = 10  …………………… (1) 

If Ram gives 5 chocolates to Shyam, he would have R – 5 chocolates and Shyam would have S + 5 chocolates. 

S + 5 = 2 (R – 5) 

2R – S = 15 

Adding (1) and (2) we get R = 25. 

Number of chocolates with Ram = 25

Quantitative Aptitude

1. If the length, breadth and height of a rectangular parallelepiped are in the ratio 6 : 5 : 4 and if the total surface area is 33300 sq. cm, then the length, breadth and the height of the parallelepiped (in cm) respectively are:

(a) 90, 85, 60

(b) 85, 75, 60

(c) 90, 75, 70 

(d) 90, 75, 60

(e) None of these 

Sol 1. (d); Let Length, breadth & height of a pipe=6x, 5x & 4x 

2(6x*5x+5x*4x+6x*4x)=33300

x=15

so, l=90, b=75, h=60

2. A wooden box of dimensions 8 m X 7 m X 6 m is to carry rectangular boxes of dimensions 8 cm X 7 cm X 6 cm. The maximum number of boxes that can be carried in the wooden box, is:

(a) 9800000

(b) 7500000

(c) 1000000

(d) 1200000

(e) None of these 

Sol 2. (c); Number of boxes=(800X700X600)/(8X7X6)=1000000

3. The length of longest pole that can be placed on the floor of a room is 10 m and the length of longest pole that can be placed in the room is 10(2)^(1/2)m. The height of the room is:

(a) 6 m

(b) 7.5 m

(c) 8 m

(d) 10 m

(e) None of these 

Sol 3. (d); l^2+b^2=(10)^2 ..............(i)

& l^2+b^2+h^2=[10(2)^(1/2)]^2 .............(ii)

from eq. (i) & (ii)

h=10

4. The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 200% and 200% respectively. Then, the increase in the volume of the cuboid is:

(a) 5 times

(b) 6 times

(c) 12 times

(d) 17 times

(e) None of these 

Sol 4. (d); Let initial l=x, b=2x, h=3x

after increase l=2x, b=6x, h=9x

original volume=x*2x*3x=6x^3 

New volume=2x*6x*9x=108x^3 

increase in volume=(102x^3)/(6x^3)=17 time

5. How many bags of grain can be stored in a cuboid granary  8 m X 6 m X 3 m, if each bag occupies a space of 0.64 m^3?

(a) 8256

(b) 90

(c) 212

(d) 225

(e) None of these 

Sol 5. (d); Number of boys=(8X6X3)/0.64=225

6. If three equal cubes are placed adjacently in a row, the ratio of the total surface area of the new cuboid to that of the sum of the surface areas of the three cubes is:

(a) 4 : 3

(b) 5 : 2

(c) 7 : 9

(d) 7 : 16

(e) None of these 

Sol 6. (c); Let edge of each cube = a cm

total surface area of these cubes=3X6a^2=18 a^2

length of new Cuboid=3a

breath=a, height=a

S.A of this Cuboid=2(3a^2+a^2+3a^2)=14a^2 

Required ratio=14a^2/18a^2=7 : 9

7. Half cubic metre of gold sheet is extended by hammering so as to cover an area of one hectare. The thickness of the sheet is:

(a) 0.5 cm

(b) 0.05 cm 

(c) 0.005 cm 

(d) 0.0005 cm

(e) None of these 

Sol 7. (c); Thickness=volume/Area=0.5/10000 m=0.005 cm

8. A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 22 m long and 14 m wide. If the earth dug out is evenly spread over the field, the rise in level of the field will be:

(a) .299 cm

(b) .29 cm 

(c) 2.98 cm 

(d) 4.15 cm

(e) None of these 

Sol 8. (c); Area of Field=(22X14)=308 m^2

Area of tank= 3X2=6 m^2

Rise in level=Volume/ Area= [(3X2X1.5)X100]/(308-6)cm=2.98 cm

9. A rectangular water tank is open at the top. Its capacity is 24 m^3. Its length and breadth are 4 m and 3 m respectively. Ignoring the thickness of the material used for building the tank, the total cost of painting the  inner and outer surfaces of the tank at the rate of Rs. 10 per m^2 is:

(a) Rs. 400

(b) Rs. 500

(c) Rs. 600

(d) Rs. 800

(e) None of these 

Sol 9(d). Height=Volume/Area=24/(4X2)= 2 m

Area to be painted=2(l+b)h+lb

=2(4+3)X2+X4X3

=28+12= 40

since painting has to be done on both side 

so,total area = 2*40 = 80 

hence total cose = 80*10= 800 

10. The length of a hall is 15 m and width 12 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. The volume of the hall is :

(a) 1800 m^3

(b) 1200 m^3

(c) 900 m^3 

(d) 720 m^3

(e) None of these 

Sol 10, (b); 2X15X12=2(15+12)Xh

h=(2X15X12)/(2X27)=20/3 m 

Volume =15X12X(20/3)=1200 m^3

Quantitative Aptitude

Quant Quiz

Direction : Following line graph shows the ratio of imports to exports of two companies over the years :

1. In how many of the given years were the imports more than the exports in case of company - A ?

1) 5 

2) 3 

3) 1 

4) 2 

5) 4

2. If the imports of company-B in year 2011 were ` 51.688 lakh, then what were the exports of company-B in the same year?

1) 64.26 lakh 

2) 67.54 lakh 

3) 71.36 lakh 

4) 73.84 lakh 

5) None of these

3. If the exports of company-A and Company-B were equal to 84 lakh in year 2012 then what will be the difference between imports of company-B and imports of company-A in that year ?

1) 9.6 lakh 

2) 8.4 lakh 

3) 7.2 lakh 

4) 6.8 lakh 

5) 5.4 lakh

4. If the exports of company-A in year 2009 and exports of company-B in year 2012 were equal then the imports of company- B in 2012 is approximately what percentage of imports of company-A in 2009 ?

1) 60% 

2) 75% 

3) 84% 

4) 96% 

5) 133.3%

5. In year 2009, If the export of company-B is increased by 100% and import is increased by 200%. Then what will be the new ratio of import to export of company-B in that year ?

1) 0.8 

2) 1.0 

3) 1.2 

4) 0.6 

5) 1.5

6. A cycle is sold at a profit of 15%. If both the cost price and selling price is decreased by Rs. 200 the profit would be 5% more what is the original cost price of cycle ?

1) Rs. 1200 

2) Rs. 1000 

3) Rs. 800 

4) Rs. 600 

5) None of these

7. A person lends Rs. 4200 to 'A' for 3 years and Rs. 6500 to 'B' for 7 years. If the person gets Rs. 8134 as interest then what is the rate of interest per annum ?

1) 6% 

2) 8% 

3) 10% 

4) 12% 

5) 14%

8. A sum amounts to Rs. 98010 in 2 years and to Rs. 107811 in 3 years compounded annually. What is the sum ?

1) Rs. 81000 

2) Rs. 84000 

3) Rs. 87000 

4) Rs. 90000 

5) Rs. 94000

9. How many different words can be formed with the letters of the word ''BREAKING". So that the words begin with 'B' and end with 'G' ?

1) 120 

2) 720 

3) 5040 

4) 2520 

5) 1440

10. A bag contains 9 white and 7 black balls. Three balls are drawn at random. Find the probability that all the three balls are black ?

1) 1/8

2) 1/12

3) 1/16

4) 1/21

5) None of these

Answers:

1. 4

Imports > Exports

Import/ Exports > 1

2. 4

I/E = 0.7

E = I/0.7 = 51.688/0.7 = 73.84 lakh

3. 2

Ia/Ea = 0.8

Ia = 0.8 * 84 = 67.2 lakh

Ib/Eb = 0.9

Ib = 0.9 * 84 = 75.6 lakh

Diff = 75.6 - 67.2 = 8.4 lakh

4. 2

Ia/Ea = 1.2

Ib/Eb = 0.9

Let export of A and B are X

Ia = 1.2x

Ib = 0.9x

Req% = 0.9x/1.2x * 100 = 75%

5. 3

I/E = 0.8

I1 = I + 200I/100 = 3I

E1 = E + 100E/100 = 2E

Ratio = I1/ E1 = 3I/2E = 3/2 * 0.8 = 1.2

6. 3;

Let the original cost price is ‘x’, so selling price is

115 x/100 = 23 x/ 20

Now CP = x – 200,

S.P. = 23x/20 - 200

Profit = 23x/20 – 200 – (x – 200) = 23x/20 – x = 3x/20

% profit = 3x/20 * 1/(x - 200) * 100 = 20

3x/(x - 200) = 4

3 x = 4 x – 800

x = 800

7. 5;

Let the rate of interest is r% p.a.

4200 * r * 3/100 + 6500 * r * 7/100 = 8134

126 r + 455 r = 8134

r = 8134/581 = 14% pa

8. 1

Let the principal is P and rate of interest is r

P (1 + R/100)^3 = 107811

P (1 + R/100) ^2 = 98010

Dividing eq I by II

1 + R/100 = 107811/98010

R/100 = 9801/98010

R = 980100/98010 = 10% pa

P = (1 + 10/100)^2 = 98010

p = 98010 * 100/121 = 81000

9. 2

Now 6 letters are left for six different place

Req No. of wages = 6P6 = 6! = 720

10. 3

n(S) = 16C3 = 560

n (E) = Number of ways of selecting 3 balls out of 7 =

7C3 = 7!/3!4! = 35

P(E) = 35/560 = 1/16

Quantitative Aptitude

Quant Quiz

Directions (1-5): Below pie charts shows the % of students in various branches studied in an institute during 2012 and 2013 years. Total number of students in year 
2012 = 1500 and in 2013 = 1800

1.Ratio of the students in civil branch 2012 to 2013?
(a) 78:12
(b) 25:78
(c) 12:59
(d) cannot be determine
(e) None of these 

2.Number of the students studying chemical and mechanical together in the year 2012 is what percent of that number of students studying both the branches in the year 2013?
(a) 60.6%
(b) 83.33%
(c) 66.66%
(d) 60%
(e)None of these 

3.What is the percentage increase/decrease in number of students studying computers from year 2012 to 2013?
(a) 52% increment
(b) 55%decrement
(c) 52% decrement
(d) 50 % increment
(e) none of these

4.Number of students studying chemical in two years is what percent of all the students studying all the branches in two years?
(a) 20%
(b) 19
(c) 18.5%
(d) 19.09%
(e) none of these 

5.What is the ratio of number of students studying electronics in 2013 to students studying chemical in 2012?
(a) 15:22
(b) 3:2
(c) 22:15
(d) 2:3
(e) none of these

Directions (6-10): Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
(1)If the statement I alone is sufficient to answer the question, but the statement II alone is not  sufficient.
(2)If the statement II alone is sufficient to answer the question, but the statement I alone is not  sufficient.
(3)If either the statement I alone or the statement II alone is sufficient to answer the question.
(4)If you cannot get the answer from the statements I and II together, but need more data.
(5)If both statements I and II together are needed to answer the question.

6.What is the value of A + B?
I.A = 50% of B
II.2A + 2B = 40

7.How fast can Ram row a boat in still water?
I.He takes 5 minutes to row upstream for a distance of 1200 m.
II.He takes 20 seconds to row downstream for a distance of 1200 m.

8.Find the rate of simple interest.
I.The principal triples in 9 years.
II.The principal is Rs 1000.

9.What is the area of rectangle ABCD?
I.Length of its diagonal is 16 m.
II.Perimeter is more than 20 m.

10.What is the value of 2A + 3B?
I.A + 3B = 60
II.A is twice of B.


Answers:

Quantitative Aptitude

Quant Quiz

1. In how many different ways can the letters of the word “PRINCIPAL” be arranged?

1) 90720 

2) 181440 

3) 362880 

4) 45360 

5) 22680

2. A person invested an amount for 7 years at a simple interest rate of 7% p.a. He got an amount of Rs 27863 at the end of seven years. What is the principal amount he invested?

1) Rs 18300 

2) Rs 18700 

3) Rs 18900 

4) Rs 19300 

5) Rs 19600

3. An owner of a TV shop charges his customer 18.75% more than the cost price. If a customer paid Rs 19475 for a TV set, then what was the cost price of the TV set?

1) Rs 15800 

2) Rs 16000 

3) Rs 16400 

4) Rs 16750 

5) Rs 17200

4. The population of a city increases by 8% in first year and decreases by 5% in second year. If the present population of the city is 127224 then what was the population of city two years back?

1) 1.32 lakh 

2) 1.21 lakh 

3) 1.18 lakh 

4) 1.24 lakh 

5) 1.28 lakh

5. 21 Men can complete a piece of work in 16 days. In how many days can 8 men complete the same piece of work?

1) 36 days 

2) 42 days 

3) 45 days 

4) 48 days 

5) 32 days

6. Two persons ‘A’ and ‘B’ started a business by investing Rs 12 lakh and 18 lakh respectively. ‘B’ left the business after 7 months and ‘C’ joined the business with a sum of Rs 54 lakh. The profit earned at the end of year is Rs 122280 then what is the share of ‘B’ in the profit?

1) Rs 28532 

2) Rs 32608 

3) Rs 36684 

4) Rs 24456 

5) Rs 20380

7. Gaurav has some hens and some goats. If the total number of animal heads is 83 and total number of feet is 260 then what is the difference between number of goats & number of hens?

1) 11 

2) 13 

3) 14 

4) 17 

5) 15

8. If x + y = 103 and xy = 2640, what is the value of x2 + y2 ?

1) 5018 

2) 4905 

3) 5329 

4) 5210 

5) None of these

9. Five bells begin to toll together and toll respectively at intervals of 4, 6, 10, 14 and 20 seconds. How many times they will toll together in one hour, excluding the one at the start?

1) 7 

2) 8 

3) 9 

4) 12 

5) 16

10. The price of sugar is raised by 28%, then how much percentage a consumer must reduce his consumption of sugar so as not to increase his expenditure on sugar?

1) 18.125% 

2) 21.875% 

3) 23.25% 

4) 28% 

5) 36%

Answers:

1. 1

Total letters are ‘9’ in which ‘P’ and ‘I’ comes twice

Number of arrangements = 9!/2!2! = 90720

2. 2

Let the principal be ‘x’

Interest = (27863 – x)

x = {(27863 - x) * 100}/7*7

49x = 2786300-100x

x = 18700

3. 3

Let the cost price be x

x + x * 18.75/100 = 19475

118.75x/100 = 19475

x = Rs. 16400

4. 4

Let its population two years back was ‘x’

x * 108/100 * 95/100 = 127224

x = 124000

5. 2

21 men 1 day work = 1/16

1 men 1 day work = 1/(16 * 21)

8 men 1 day work = 8/(16 * 21) = 1/42

8 men can finish the work in 42 days

6. 1

Ratio between profit of A, B & C

= 12 × 12 : 18 × 7 : 54 × 5 = 8 : 7 : 15

Share of B = 122280/30 * 7 = 28532

7. 1

Let total number of goats be ‘x’ and that of hens be

‘y’

x + y = 83 ...(I)

4x + 2y = 260

2x + y = 130 ...(II)

equation (II) – equation (I)

2x + y = 130

x + y = 83

– – –

x = 47

y = 83 – 47 = 36

Difference = 47 – 36 = 11

8. 3

x^2 + y^2 = (x + y)^2 - 2xy

(103)^2 - 2 * 2640 = 10609 - 5280 = 5329

9. 2; LCM of 4, 6, 10, 14 and 20 is 420

So they will toll together every time after 420 seconds

Number of toll is one hour = (60 * 60)/420 = 8.571

10. 2

28/(100 + 28) * 100 = 27.874%

Quantitative Aptitude

Directions (Q. 1-10): What should come in place of question mark (?) in the following series?

1. 80 85 ?  87 76 89

1) 78

2) 76

3) 74

4) 75

5) 72

2. 5 13 25 ? 61 85

(1) 38

(2) 39

(3) 43

(4) 42

(5) 41

3. ?  12 30 56 90 112

(1) 1

(2) 2

(3) 3

(4) 4

(5) 5

4. 11 121 1331 14641 ? 771561

(1) 164031

(2) 162021

(3) 155021

(4) 161051

(5) 15071

5. 10  ? 69  280  1405 8436

(1) 22

(2) 20

(3) 23

(4) 25

(5) 24

6. 123 140 106 157 89 ?

(1) 214

(2) 139

(3) 198

(4) 169

(5) 174

7. 190 94 46 22 ? 4

(1) 19

(2) 15

(3) 10

(4) 8

(5) 16

8. 320 310 290 250 170 ?

(1) 114

(2) 110

(3) 10

(4) 98

(5) 142

9. 3 4 9 28 113 ?

(1) 782

(2) 424

(3) 646

(4) 384

(5) 566

10. 8 4 6 15 ? 236.25

(1) 64.5

(2) 84

(3) 52.5

(4) 36

(5) 46

11. 379, 390, 412, 445………544

(1) 462

(2) 511

(3) 538 

(4) 489

(5) 504

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Answers with Explanation !!!!!!!!!!! 

1. (1); The series is:
80+5=85, 85-7=78, 78+9=87, 87-11=76, 76+13=89

2. (5); The series is 1^2+2^2, 2^2+3^2,3^2+4^2,4^2+5^2,5^2+6^2

3. (2); The series is 1×2,3×4,5×6,7×8,9×10

4. (4); The series is 11,11^2,11^3,11^4,11^5……………….

5. (1); 10×2+2=22,22×3+3=69,69×4+4=280

6. (5); The series is +17, -34, +51, -68, +85…………
i.e next number=89+85=174

7. (3); The series is ÷2-1,÷2-1, …………..
(22/2)-1=10

8. (3); Difference between the number are -10, -20, -40, -80, -160

9. (5); 3×1+1=4,4×2+1=9,9×3+1=28,28×4+1=113,113×5+1=566

10. (3); 8×0.5=4,4×1.5=6,6×2.5=15,15×3.5=52.5

11. (4); Difference between the number are

+11, +22, +33, +44, +55