KRISHNA MOHAN

Wednesday, 16 August 2017

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

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

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

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

Quant Quiz

1. A constant distance from Chennai to Bangalore is covered by Express train at 50 km/hr. If it returns to same distance at 40 km/hr. then the average speed during the whole journey is
(a) 45 km/h
(b) 48 km/h
(c) 45.45 km/h
(d) 44.44 km/h

2. By selling an article for Rs. 39. a shopkeeper gains 30%. For how much should he sell it to gain 10% ?
(a) 31
(b) 32.5
(c) Rs 30
(d) Rs33
3. The two number are in the ratio 2:3 and their product is 54 the sum of the numbers is?
(a) 15
(b) 5
(c) 9
(d) 6
4. A Man read 1/3 of a book on day 1. On day 2, he read 1/2 of what he read on first day. 75 pages were left for third day. The number of pages in the book is
(a) 100
(b) 105
(c) 225
(d) None of these
5. P can do 2/3 of a job in 8 days and Q is twice as efficient as P. In how many days Q will finish the job
(a) 6
(b) 8
(c) 12
(d) 4
6. If A & B together can complete a piece of work in 15 days & B alone in 20 days, in how many days can A alone complete the work?
(a) 60
(b) 45
(c) 40
(d) 30
7. In how many different ways the letter of the word GREATER be arranged?
(a) 5040
(b) 2520
(c) 1260
(d) 630
8. In how many years a sum of money will triple itself at 8% per annum simple interest.
(a) 25 years
(b) 37.5 years
(c) 20 years
(d) 30 years
9. In how much time a train of length 120 m running at 45km/hr can cross a platform of length 230 m?
(a) 36 sec
(b) 28 sec
(c) 14 sec
(d) 18 sec
10. What is 6/11 of 25% of 10% 4400?
(a) 11
(b) 66
(c) 60
(d) 36

ANSWERS:-
1. (d)
Average Speed = (2 * 40 * 50)/90 = 44.444 km/hr

2. (d)
Required price = 39 * 1.1/1.3 = 33

3. (a)
Let the numbers be 2x and 3x.
6x² = 54
x = 3
Sum of numbers = 5x = 15

4. (d)
Let the total number of pages be x.
x – x/3 – x/6 = 75
x = 150

5. (a)
P can finish the job in = 3/2 of 8 = 12 days
SO Q will take 12/2 = 6 days to finish the job.

6. (a)
Required number of days = (20 * 15)/(20 - 15) = 60 days

7. (c)
Number of arrangements = 7!/(2! * 2!)

8. (a)
Interest in 1 year = 8%.
To triple the money the interest should be 200%.
Number of years = 200/8 = 25 years.

9. (b)
Crossing time = (120 + 230)/(45 * 5/18) = 28sec

10 . (c)
6/11 of 25% of 10% 4400 = 6/11 * 25/100 * 10/100 * 4400 = 60

Quant : Quiz

1. A fruit seller purchases oranges at the rate of 3 for Rs 5 and selIs them at 2 for Rs 4. His profit in the transaction is:.
1. 10 %
2. 20 %
3. 15 %
4. 25 %

2. Raghu bought 4 dozen oranges at Rs 12 per dozen and 2 dozen oranges at Rs 16 per dozen. He soldthem all to earn 20% profit. At what price per dozen did he sell the oranges ?
1. 14.4
2.16.8
3.16
4. 19.2

3. Gopal purchased 35 kg of rice at the rate of Rs 9.50 per kg and 30 kg at the rate of Rs 10 per kg. He mixed the two. Approximately, at what price per kg should he sell the mixture to make 35 % profit in the transaction?.
1.Rs 12
2. Rs 13
3. Rs 12.50
4. None of these

4. An article when sold at a gain of 5% yields Rs 15 more than when sold at a loss of 5%. What is the C.P..
1. Rs 64
2.Rs 150
3.Rs 80 .
4.Rs 200

5. A man bought a number of oranges at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20 %
1. 4
2. 6
3. 5
4. 7

6. A dealer sold two of his cattle for Rs. 500 each. On one of them he lost 10% on the other, he gained 10%. His gain or loss percent in the entire transaction was:
1. 10% loss
2.1% loss
3. 1% gain
4. Neither loss nor profit

7. A man buys oranges at Rs 5 a dozen and an equal number at Rs 4 a dozen. He sells them at Rs 5.50 a dozen and makes a profit of Rs 50. How many oranges does he buy? ..
1. 30 dozens
2. 50 dozens
3. 40 dozens
4. 60 dozens

8. When a commodity is sold for Rs 34.80, there is a loss of 25%. What is the cost price of the commodity?.
1. 46.40
2, 43
3. 26.10
4. 43.20

9. Ajay bought 15 kg of dal at the rate of Rs 14.50 per kg and 10 kg at the rate of Rs 13 per kg. He mixed the two and sold the mixture at the rate of Rs 15 per kg. What was his total gain in this transaction ?
1. Rs 1.10
2. Rs 11
3. Rs 16.50
4. Rs 27.50

10. If the manufacturer gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then the cost of production of a table, the retail price of which is Rs 1265 was :
1. Rs 632.50
2. Rs 814
3. Rs 800
4.Rs 834.34

Answers

1. 2
2. 3
3. 4
4. 2
5. 2
6. 2
7. 2
8. 1
9. 4
10. 3

Speed, Distance and Time tricks

Speed, Distance and Time tricks with Example

Time and Distance
The term times and distance area related to the speed of moving objects
Speed — We define the speed of an object as the distance covered by it in a unit time interval.
Speed =(Distance travelled)/(time taken)
⇒ Distance travelled = Speed × time
⇒ Time = Distance/Speed

Unit of measurement
If distance is measured in kilometer, we measure time in hours and speed is written as km/hr.

If distance is measured in meter, then time is taken in second and speed written as m/s

Conversion of unit
1 km/hr = (1000 mtr)/(60×60 seconds)=5/18 m/s
1 m/s =18/5 km/hr

Ex. – A train having length 500 m passes a pole in 30 second. Find the speed of a train (in km/hr)
⇒Speed=Distance/time=500/30 m/s
=500/30×18/5 km/hr
= 60 km/hr

Some useful short cut methods