Wednesday, 16 August 2017

Ratio and Proportion



Dear students,
Now you have checked scores and start preparing for the Tier -II . we are going to provide Quant quizzes specifically for the mains exam . 
Now, we're going to provide Short Tricks with Example Questions, So that you can familiarise yourself with tricky scenarios of Quant. Every day we'll post Some useful Tricks for SSC CGL Tier -II, and it will help you in scoring respected marks.
                                 
                               Percentage wise distribution of Topics For Tier-II                                          



Ratio and Proportion 












RELATIVE SPEED AND TRAINS


  Percentage wise distribution of Topics For Tier-II                                          

Relative speed And Trains












SPEED DISTANCE AND TIME


Dear students,
Now you have checked scores and start preparing for the Tier -II . we are going to provide Quant quizzes specifically for the mains exam . 
Now, we're going to provide Short Tricks with Example Questions, So that you can familiarise yourself with tricky scenarios of Quant. Every day we'll post Some useful Tricks for SSC CGL Tier -II, and it will help you in scoring respected marks.
                                 
                               Percentage wise distribution of Topics For Tier-II                                          


SPEED DISTANCE AND TIME 








SSC CGL Tier-II



Dear students,
Now you have checked scores and start preparing for the Tier -II . we are going to provide Quant quizzes specifically for the mains exam . 
Now, we're going to provide Short Tricks with Example Questions, So that you can familiarise yourself with tricky scenarios of Quant. Every day we'll post Some useful Tricks for SSC CGL Tier -II, and it will help you in scoring respected marks.
                                 
                               Percentage wise distribution of Topics For Tier-II                                          


TIME AND WORK


1. If A and B working together, can finish a piece of work in x days, B and C in y days, C and A in z days, then
       (a) A, B and C working together will complete the job in
           = 
 


2. (a) If A can complete a work in x days and B is k times efficient than A, then the time taken by both A and B, working together to complete the work is 




(b) If A and B, working together, can complete a work in x days and B is k times efficient than A, then the time taken by - 


3. If A working alone takes ‘a’ days more and B working alone takes ‘b’ days more than A and B together, then the number of days taken by A and B, working together, to finish a job is given by √ab .


Special Tricks Quant (Compound Interest)SSC



                  Percentage wise distribution of Topics For Tier-II                                          



Compound Interest

→ The amount A due after t years, when a principal P is given on compound interest at the rate R% per annum is given by - 










Quant :quiz



Quant :quiz

1.50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 , then the rise in the water level in the tank will be:
A) 20 cm
B) 25 cm
C) 35 cm
D) 50 cm

2.A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
A) 720
B) 900
C) 1200
D) 1800

3.The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side
A) Rs.962
B) Rs.672
C) Rs.546
D) Rs.876

4.What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
A) 814
B) 820
C) 840
D) 844

5.Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.
A) 3:1
B) 2:1
C) 4:1
D) 5:1

6.The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
A) 16cm
B) 18cm
C) 24cm
D) .Data inadequate

7.What part of the volume of a cube is the pyramid whose base is the base of then cube and whose vertex is the center of the cube?
A) 4:1
B) 5:1
C) 6:1
D) 7:1

8.The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.
A) 50%
B) 40%
C) 30%
D) 20%

9.What is the ratio between the volumes of a cylinder and cone of the same height and of the same diameter
A) 2:1
B) 3:1
C) 4:1
D) 5:1

10.A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
A) 2 : 1
B) 3 : 2
C) 25 : 18
D) 27 : 20

Answers 
1. (B) Total volume of water displaced =(4 x 50)m^3 = 200 m^3
Rise in water level = 200/800 =0.25m = 25cm

2. (C) 1200
3. (D) Rs.876 
surface area of a cube= 6*8*8 = 384sq.ft

quantity of paint required=(384/16)=24kg

cost of painting=36.5*24 = Rs.876

4. (A) 814

Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) cm^2
Required number of tiles = 1517*902/41*41= 814

5. A) 3:1

6.
 B) 18cm
2(l+b)/b = 5/1
2l + 2b = 5b
3b = 2l
b =2/3 l
Then, Area = 216 cm^2
l x b = 216
l xl*2/3 l =216
l^2= 324
l = 18 cm.

7. C) 6:1 
Volume of the cube/volume of pyramid=a^3/1/3 a^3*a/2

8. A) 50%
Let l, b the sides of the base, so that the area of the base = lb
remains constant.
Let ‘h’ be the height of the solid.
Volume of the solid, V = l× b× h.
Since the volume is to be increased by 50%

9.B
10. C

Quant :quiz



Quant :quiz

1.Ram starts working on a job and works on it for 12 days and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 days and the work gets completed. How much more efficient is Ram than Ravi?
A.50%
B.200%
C.125%
D.100%



2.Two taps can fill a tank in 12 min and 18 min respectively. Both the taps are kept open for 2 min and then the tap that fills the tank in 12 min is turned off. In how many more minutes will the tank be filled?
A.9
B.12
C.13
D.10

3.Pankaj can produce one unit in 15 days, while Bharti can do the same in 12 days. After producing one unit, working together, they received Rs. 90, which they distributed amongst themselves in proportional to their efficiency. If they work for 20 days, and sell the produce, then Bharti should receive
A.Rs. 120
B.Rs. 140
C.Rs. 150
D.Rs. 160

4.Pavan builds an overhead tank in his house, which has three taps attached to it. While the first tap can fill the tank in 12 hours, the second one takes one and a half times more than the first one to fill it completely. A third tap is attached to the tank which empties it in 36 hours. Now one day, in order to fill the tank, Pavan opens the first tap and after two hours opens the second tap as well. However, at the end of the sixth hour, he realizes that the third tap has been kept open right from the beginning and promptly closes it. What will be the total time required to fill the tank?
A.8 hours 48 minutes
B.9 hours 12 minutes
C.9 hours 36 minutes
D.8 hours 30 minutes

5. 40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together?
A.390
B.405
C.408
D.415

6.In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?
A.2
B.2.5
C.3
D.3.5

7.A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?
A.17
B.23
C.77
D.None of these

8.When processing flower-nectar into honeybees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 15% water?
A.1.5 kgs
B.1.7 kgs
C.3.33 kgs
D.None of these

9.Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.Rs. 15
B.Rs. 15.70
C.Rs. 19.70
D.Rs. 20

10.If the price of petrol increases by 25%, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
A.25%
B.16.67%
C.20%
D.33.33%

Answers 

1. D
2. C3. C4. B5. C6. C7. B8. (B)Flower-nectar contains 50% of non-water part. In honey this non-water part constitutes 85% (100-15).
Therefore amount of flower-nectar needed = .85/.5*1= 1.7 kgs
9.(C)
Let the amount taxable purchases be Rs. x.
Then, 6% of x=30/100
Cost of tax free items = Rs. [25 - (5 + 0.30)] = Rs. 19.70
10. C

Therefore 0.5 X Amount of flower-nectar = 0.85 X Amount of honey = 0.85 X 1 kg
x=30/100*100/6 = 5

Quant Quiz



Quant Quiz 


1.    If separate teams of four or six or eleven students are made from the students of a class, three students are left in each case. The smallest possible number of students in the class is

(1) 132
(2) 135 
(3) 136
(4) 138

2.    The S.I. is 7200 on 12 p.c.p.a. for 6 years on a sum. what is C.I. on 5 p.c.p.a. for 2 years
(1) 1020    
(2) 1055    
(3) 1050    
(4) 1025  
  
3.    Find the approximate average of the following set of scores

1566,  2455, 1231, 2678, 1989, 3342, 2715

(1) 2590 
(2) 2555 
(3) 2268
(4) 2282  


4.    The population of a city is 1500000. It increases by 10% during 1st yr, decreases by 20% in 2nd yr and increases by 30% in the 3rd yr. The population after 3 yr is ?
(1) 1716000
(2) 1750000
(3) 1650000
(4) 1600000 


5.    What per cent is 25 paise of Rs 100?
(1) 250%
(2) 25%
(3) 2.5%
(4) 0.25% 


6.    A, B and C undertake to complete a piece of work for Rs 1950. A works for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio of 3 : 5 : 4, what does C get?
(1) 400
(2) 750
(3) 675
(4) 800 


7.    If 100 men can do 100 jobs in 100 days, then 1 man can do 1 job in
(1) 1 day
(2) 100 days
(3) 50 days
(4) 10 days 


8.    A fruit seller buys mangoes at the rate of 15 for 12 and sells them at the rate of 15 per dozen. Find his gain percentage.
(1) 25.65%
(2) 32.25%
(3) 51.35%
(4) 56.25%


9.    A motorist travels a distance of 10 km at a speed of 50 km/h in the onward journey and 60 km/h while returning. His average speed is
(1) 54 6/11 km/h
(2) 55 km/h
(3) 55 6/11  km/h
(4) 54 km/h


10.  The difference between 90% of a number and 83% of the same number is 175. What is 99% of that number?
(1) 2420
(2) 2475
(3) 2500
(4) 1750



ANSWERS:-
1. (2)
After taking LCM of 4 , 6 , 11 = 132
The students left in each case = 3
Required number of students = 132 + 3 = 135

2. (4)

3. (4)

4. (1)
Initial population = 15,00000;
After first year increment of 10 %, population = 1500000 + 10/100 × 1500000 = 1650000
After second year decrement of 20%, population = 1650000 - 20/100 × 1650000 = 1320000
After increment of 30 % in third year = 1320000 + 30/100 × 1320000 = 1716000

5. (4)

6. (4)
Daily  wages are in the ratio 3 : 4 : 5 , working days of A,B,C = 8,9 and 12 so the wages they get will be in ratio 24 : 45 : 48,
Share of C = 48/(24+45+48) × 1950 = Rs 800

7. (2)
     use chain rule ; if 100 men will do one job in 100 days individually , so one man will do one job in 100 days .

8. (4)
C.P. of one mango = 12/15 = 80 paise ; S.P. of one mango = 15/12=Rs 1.25 ;
Gain = 45 paise , gain = 45/80 × 100 = 56.25 %

9. (1)

    Average speed = (2x×y )/((x+y))=(2 × 50 × 60)/(50 + 60) = 600/11 = 54 6/11 km/hr

10. (2)
value of (90% - 83%)x = 175, 7% of x = 175, 100 % = 2500
99 % of 2500 = 2475