Questions based on percentage to fraction conversion

If you have to solve 7.14% of 182, Standard method will take at least 30-40 seconds, maybe even more than that.

But if you know that 7.14%=1/14 , the same question will take a couple of seconds..
All you have to do is 182/14=13.


percentage to fraction



percentage into fraction

You must learn this conversion for rapid calculation

1/2=50%
1/3=33.33%
1/4=25%
1/5=20%
1/6=16.66%
1/7=14.28%
1/8=12.5%
1/9=11.11%
1/10=10%
1/11=9.09%
1/12=8.33%
1/13=7.69%
1/14=7.14%
1/15=6.66%
1/16=6.25%
1/17=5.88%
1/18=5.55%
1/19=5.26%
1/20=5%


Just learn these conversion of percentage into fraction, and youll be all set to learn quick and easy way to solve the questions based on percentage.

Example questions
1} 87.5% of 560
87.5% = 100% - 12.5%
=1-(1/8)= 7/8
So (7/8)*560=490


2} 55.55 % of 1260
55.55% = 5 x 11.11% =5/9
(5/9)*1260 =700

Similarly you can convert the percentage into fraction and then solve it.

3} 43.75%=50%-6.25%=(1/2)-(1/16)

4} 56.25%= 50% + 6.25%=(1/2)+(1/16)

5} 91.66% =75%+ 16.66=(3/4)+(1/6)

6} 25.26% =20% + 5.26%=(1/5)+(1/19)

7}  81.25% = 75% + 6.25%=(3/4)+(1/16)

8} 206.25% = 200%+6.25%=2+(1/16)

9} 91.66% = 75%+6.66%=(3/4)+(1/15)

10}63.63%= 7 x 9.09%=7/11



Practice questions:-

11}43.75 % of 320

12}77.77% of 135

13}44.12 of 510

14}66.66% of 1350

15}8.33 % of 8400

16}22.22% of 540

17}92.31% of 1105

18}133.33% of 2274

19}56.25 % of 6400

20}90.91% of  814



21} 35 % of 240

22}64.28 % of 252

23}5.88% of 238

24}107.69 % of 663

25}66.66% of 4620

26}33.33% of 990

27}94.12% of 731

28}57.69% of 221

29}58.33% of 1440

30}16.66% of 192


31}92.86 % of 350

32}11.11 % of 1620

33}44.74% of 380

34}7.14% of 1036

35}93.75% of 256

36}83.33% of 720

37}44.44 % of 12600

38}83.34% of 510

39}6.25 % of 320

40}27.27% of 506



41}88.89% of 486

42}114.28% of 392

43}88.88% 
of 3807

44}105.26% 
of 855

45}14.28% 
of 616

46}91.67% 
of 528

47}16.66% 
of 582

48}42.86% 
of 448

49} 12.5 % of 960

50}85.72% 
of 623






51} 16.66% of 396

52}18.18% 
of 495

53}55.26% 
of 608

54}94.74% of 760

55}106.25% 
of 272

56}8.33 % of 8
40 

57}61.11% of 450

58}87.5% 
of 680

59}14.28% 
of 315

60}12.5% 
of 3600





61}59.09% of 517

62}93.34% 
of 630

63}44.44% 
of 126

64}105.88% 
of 153

65} 33.33% of 456

66}41.67% 
of 660

67}56.66% of 900

68}38.89% 
of 720

69}36.36% of 1210

70}109.09% 
of 451





71}11.11% of 1620

72} 7.69% of 520

73}112.5% 
of 336

74}54.54% of 363

75}116.66% 
of  510

76}55.55% of 243

77}5.26% 
of 342

78}108.33% 
of 1680

79}62.5% 
of 400

80}43.34% of 240





81}40.91% of 495

82}88.88% 
of 3870

83} 106.66% 
of 180

84}55.88% 
of 238

85}37.5% 
of 736

86}42.31% 
of 728

87}111.11% 
of 405

88}63.63% 
of 187

89}57.14% 
of 1344

90}107.14% 
of 700

How to find a perfect square?

HOW CAN YOU GET TO KNOW , WHICH NUMBER IS A PERFECT SQUARE?



You'll often find questions like these in the teacher eligibility test examinations.A lot of students puzzle over how to find a perfect square..And it is really easy to check which of the following number is a perfect square.




perfect square number
How to find a perfect square?




what is a perfect square?

any number which can be expressed as product of two integers is known as a perfect square.
e.g 25 can be expressed as 5x5, so it is a perfect square
100=10x10, so 100 is also a perfect square
but 80 can't be expressed like this, so it is not a perfect square. 


 
How to check whether a number is a perfect square or not.?


1.All squares end up in 0,1,4,9,6,5

A perfect square never ends up in 2,3,7,8

So something like 15623 is not a perfect square , since it ends in 3...

And you don't have to cram it..Just check the unit digit of squares of numbers 0-9

0x0=0
1x1=1
2x2=4
3x3=9
4x4=6
5x5=5
6x6=6
7x7=9
8x8=4
9x9=1

So as you can see, a perfect square Never ends in 2,3,7,8.This should be the first thing you should check ,while inspecting a number.

2.THE DIGITAL SUM OF A PERFECT SQUARE IS 1,4,7,9

MNEMONIC(1947)

Digital sum is the sum we get after adding all the digits of a number until we get a single digit.

E.g 15626=1+5+6+2+6=2+0=2
Since it's digital sum is 2, it can't be a perfect square for sure..

KEEP IN MIND, THAT IF THE DIGITAL SUM OF A NUMBER IS 1,4,9,7, IT DOESN'T GUARANTEE THAT THE NUMBER IS A PERFECT SQUARE...

BUT IF THE DIGITAL SUM ISN'T 1,4,7,9, THEN THE NUMBERS CANT BE A PERFECT SQUARE FOR SURE..

SO IT IS AN ELIMINATION METHOD...

3.SOME OTHER THINGS TO CHECK

●If a number ends in 1, then tens digit is always even.
E.g 121, 961

●If a number ends in a 9, it's tens digit is always even
E.g 169,529

●If a number is ends in 5, then it's tens digit is always 2..
E.g 625, 5625

●If a number is even, then it's last two digits are divisible by 4
E.g. 64,144,196,8464

So if any of the above rules fail, then the number can't be a perfect square
E.g
34531(it ends in 1, and the ten's place isnt even, so it cant be a perfect square)

139(it ends in 9, and tens digit is odd, so it can't be a perfect square)

4575 (it ends in 5, and the tens digit is other than 2, so it is not a perfect square)

1214 ( it ends in 4, and last two digits are not divisor by 2, so it is not a perfect square)

Using these tricks , you can  eliminate the numbers which are not perfect squares, and get to know the answer..


Question 1:-
Which of the following is a perfect square
A..548543213
B..548543215
C..548543251
D..548543241

◆digital sum of option a is 8, So it can't be a perfect square
◆Option b, ends in 5 and has an odd digit on tens place , so it can't be a perfect square
◆In option c , the number ends in 1 and the tens digit is odd, which is not possible in case of a perfect square
So our answer is option D

Ctet Mock test #05

As the date of the Ctet Exam is coming close, A lot of students would be worried about their performance.The ctet exam can be easily cracked if you focus on your basics and time management. The previous year ctet question paper can also help you get an idea about the level of the upcoming exam. By Solving these mock tests, you will easily crack ctet paper 1 and ctet paper 2.


Ctet Mock test#05



CTET EXAM 2019



Ctet Mock test #04



As the date of the Ctet Exam is coming close, A lot of students would be worried about their performance.The ctet exam can be easily cracked if you focus on your basics and time management. The previous year ctet question paper can also help you get an idea about the level of the upcoming exam. By Solving these mock tests, you will easily crack ctet paper 1 and ctet paper 2..

Ctet Mock test#04


CTET EXAM






1.The difference between the place value and the face value of 6 in the numeral 856973 is
973
6973
5994
none of these


2.What is the unit digit in 7105?
1
5
7
9


3.The L.C.M. of 148 and 185 is:
680
740
2960
3700


4. The G.C.D. of 1.08, 0.36 and 0.9 is:
0.03
0.98
0.18
0.108


5 The number 518,000,000 when expressed in scientific notation equal:
51.8 x 106
51.8 x 107
5.18 x 108
5.18 x 109


6..If 1.125 x 10^k = 0.001125, then the value of k is:
- 4
- 3
- 2
- 1


7..How many pieces of 85 cm length can be cut from a rod 42.5 metre long?
30
40
60
None of these


8..3640 ÷ 14 x 16 + 340 =?
-0.70
-3525
-4480
None of these


9..The total monthly salary of 4 men and 2 women is Rs. 46,000. If a woman earns Rs. 500 more than a man, what is the monthly salary of a woman?
Rs. 6500
Rs. 7500
Rs. 8000
Rs. 9000


10.On sports day, if 30 children ‘were made to stand in a column, then 16 columns could be formed. If 24 children were made to stand in a column, then how man columns could be formed?
20
22
29
45


11..One-fifth of a number exceeds one-seventh of the same by. 10. The number is:
125
150
175
200


12..If the arithmetic mean of seventy-five numbers is calculated, it is 35. If each number is increased by 5, then mean of new numbers is:
30
40
70
90


13..Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is:
A 15
B 45
C 48
D 60.25


14..The average of 7 consecutive odd numbers is 20. The largest of these numbers is:
A 26
B 22
C 23
D 24


15.The ratio between the school ages of Neelam and Shaan is 5: 6 respectively. If the ratio between the one-third age of Neelam and half of Shaan's age is 5: 9, then what is the school age of Shaan?
25 years
30 years
36 years
Cannot be determined


16..In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is:
19 years
29 years
39 years
49 years


17..A is two years older than B who is twice as old as C. If the total of the ages of A,B,C be 27, then how old is B?
7
8
9
10


18..Six years ago, the ratio of the ages of Kunal and Sagar was 6: 5. Four years hence, ratio of their ages will be 11: 10. What is Sagar's age at present?
16 years
18 years
20 Years
None of these


19..If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to:
123.75
140.55
143
150


20..If A: B = 3: 4 and B: C = 8: 9, then A: C is:
1: 3
3: 2
2: 3
1: 2


21..In a mixture of 60 litres, the ratio of milk and water is 2: 1. If this ratio is to be 1: 2, then the quantity o water to be further added is:
20 litres
30 litres
40 litres
60 litres


22.If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:
12
15
16
19


23.If A: B = 5: 7 and B: C = 6: 11, then A: B: C is:
55: 77: 66
30: 42: 77
35: 49: 42
None of these


24..Find the biggest 4 digit number which is a perfect square.
9999
1899
9000
9801


25..In a gathering the ratio of men and woman was 2:3, When 20 more men joined, the ratio was reversed..Find the no of ladies
36
40
16
24


26..If the roots of equation x^2 - px +54=0, Are in ratio 2:3,  then value of p is
18
21
-21
15


27..The perimeter of a rhombus whose diagonals are 10 cm and 24 cm, is
120cm
34 cm
68 cm
52 cm


28..44 cows can graze a field in 9 days, How many more/less cows will graze the field in 12 days?
15 cows more
11 cows more
11 cows less
15 cows less


29..Ten observations 5,9,14,15,x+1,2x-13,28,30,32,34 are written in ascending order.
If the median is 24, the value of x is
20
19
21
16


30..From a pack of playing cards, one card is drawn at random.
What is the  probability that it is ace of spades?
4/13
1/13
1/52

Ctet Mock test #3









1.kiran gets 38 % marks in examinations. If these are 114 marks, find the maximum marks.

A 250
B 300
C 350
D 400


2. If x+y=10, xy=21
&
X^3 + y^3 = ?


A.280
B.190
C.370
D.730


3. if 6x - (1/ 3x)=8, Then 36x^2 + (1/9x^2) is

A.68
B.46
C.-64
D.64


4..certain amount of money is divide b/w sam and jeet in ratio 3 : 5. If jeet gets rs 100 more, then sam's share is

A.408
B.150
C.346
D.250


5..The sum of 2 fractions is 5+2/3. If one of them is 3+1/2, then other fraction is

A. 6+1/2
B. 2+1/6
C. 1+2/6
D. 1+6/2


6..How many multiples of 3 Are there b/w 224 and 540?


A 105
B 106
C 107
D 108


7.The distance bw two places is 8 km. A map scale is 1:50000.
The distance b/w 2 places on map is

A. 8 cm
B. 16 cm
C. 32 cm
D. 4 cm

8.in a meeting 7/20 of the members were female..what % of the members were males?


A 35
B 25
C 84
D 65



9.. 2 angles of pentagon are 100.5° each...If remaining 3 angles are consecutive integers, find the value of largest angle of this pentagon.

A.112
B.113
C.114
D.115


10 if 12 men can do a work in 20 days, How many days wil it take for 10 men to do the similar work.

A 30
B 24
C 18
D 26


11.a student scored 150 marks in a test but his score is 21 marks less than pass mark.
If minimum pass % is 36, The max marks of the test are

A.340
B.375
C.270
D.475

12.If A and B can do a job in 8 hours (working together ) . A can do the job alone in 16 hours. In how many hours can B do the job alone?

A 4 hours
B 8 hours
C 16 hours
D 32 hours


13. Arrange the fractions in ascending order
9/11, 2/4, 5/7, 8/10,3/5


A. 9/11, 8/10 ,5/7,2/4,3/5
B. 3/5, 2/4, 5/7, 8/10, 9/11
C. 9/11,3/5/2/4/8/10,5/7
D. 2/4,3/5, 5/7,8/10,9/11


14.Find the angles of triangle labelled as 7x+7, 5x+4, 4x+9

A 76,32,72
B 89, 56,35
C 77,54,49
D 67,58,55


15..Find gcd of 7/3 and 14/9

A.7/9
B..14/3
C.14/9
D.7/3


16.The ratio of 2 numbers is 4:5 and their hcf is 5. their lcm is

A...20
B. 80
C.120
D. 100

.


17.Which of the following is a perfect square?

A. 94873
B. 104976
C. 15358
D. 434563


18...The polynomial 3t^3 - 8 t^2 + 3t +2,
If one of the zero is 1, what are other 2 zeroes..

A. 2, 1/3
B.  -2, -1/3
C  -2, 1/3
D  2 , -1/3


19..A metallic sphere of radius 4.2 cm is melted and recast into a cylinder of radius 6 cm., Find the height of cylinder

A 1.9 cm
B 2.7 cm
C 5.8 cm
D 3.5 cm


20...The dimensions of a cubical room are 5 m x 5m x 5m.
What is the biggest length of a pipe that could be put there?

A 5 √5
B 5 √3
C 5 √2
D 5 √6


21.. 2x - 14, 2x - 12, 2x - 10, 2x - 8 are consecutive

(A) Prime numbers
(B) Even numbers
(C) Odd numbers
(D) Natural numbers

22..the measure of each interior angle of a regular convex polygon is 120°. The no. Of sides of the polygon are
A 5
B 6
C 7
D 8


23.. the unit digit in ( 3^65 x 6^59 x 7^71) is

A 4
B 7
C 9
D 5


24.. From 1+ 3/5 kg of salt,how many packets of 1/15 kg salt can be made?

A 48
B 24
C 64
D 32

25..A, B, and C can do a piece of work in 8 days. B and C together do it in 24 days. B alone can do it in 40 days. In what time will it be done by C working alone?


1. 25 days
3. 60 days
4. 20 days
5. 30 days


26.To fill the rectangular tank of area 700 meters squared, 140 meter cube is required. What will be the height of the water level in the tank?

A 0.2 cm
B 2 cm
C 20 cm
D 200 cm



27..The sum of all the possible values of.a, for which the 4 digit number 5a78 , is divisible by 3

A 12
B 5
C 13
D 14



28.. The difference in the age of two people is 20 years. If 5 years ago, the elder one of the two was 5 times as old as the younger one, then their present ages are equal to:


A) 20 and 30 years respectively
B) 30 and 10 years respectively
C) 15 and 35 years respectively
D) 32 and 22 years respectively




29..the angles of a quadrilateral are in ratio 2:3:5:8. The difference b/w supplement of largest angle, and complement of smallest angle is



A 20°
B 30°
C 40°
D 50°


30. What is true about the relationship of a rectangle and a triangle created from that rectangle?

A. The area of a rectangle is one-half that of the triangle.
B. The area of the rectangle is twice the area of the triangle.
C. The area of a triangle is twice the area of the rectangle.
D. There is no relationship between the two.


31.the sum of greatest and smallest fractions among
3/5, 13/15, 1/3, 6/8, 7/9, 15/17
Is

A 17/86
B 62/59
C 62/51
D 18/65


32.(13.49 x 10^9) - (2.84 x 10^7) is expressed in standard form as

A 1346.16 x 10^7
B 10.65 x 10^ 2
C 1.34616 x 10^9
D 1.34616 x 10^10


33.Probability of getting a prime number from number 6-20 written on pieces of paper is

A 4/15
B 5 /16
C 5/14
D 1/3


34..The mean of a data is 17.9, if the mode is 26, find the median.

A 13.3
B 20.6
C 25.7
D 32.4


35.If weight of 18 sheets of paper is 50 grams. How many sheets of same paper will weigh 3 + (3/4) kg?

A 1836
B 1350
C 1314
D 1386





English




Synonyms

36..Dainty

A delicate
B collosal
C neophyte
D catastrophic



37..Sordid


A strange
B loud
C dirty
D embarrassed



38..Devoid of


A loathesome
B lacking
C having a hole
D doubled



39..Nuisance


A choleric
B sensible
C etiquette
D annoyance




40..Pompous

A animosity
B helpful
C conceited
D gregarious



41...Fiasco

A novice
B serene
C cruel
D debacle




42..Cognizant

A Catholic
B corrosive
C collect
D. Conscious




43..Genocide

A noob
B massacre
C philanthropist
D ubiquitous




Antonyms 


44..Malady

A smooth
B harsh
C fitness
D death


45.Decipher

A dogmatic
B mammoth
C encode
D sanguine



46..Nonchalant

A fortify
B anxious
C solitude
D elucidate



47.Dreaded

A pacify
B diversify
C digress
D calamity



48.Loathe

A tight
B adore
C ardent
D loose



49..what is meaning of "Win win situation" ?

A..in which your win is damn sure.
B.. in which both the parties get some benefit
C.. in which participation doesn't affect the outcome
D..In which the outcome is predecided and is inevitable



50.What is meaning of following idiom


We don't want our team to come under fire.

A. We don't want our team to get public criticism.
B. We don't want our team to get destroyed.
C. We don't want our team to get assaulted.
D. We don't want our team to die in smoke and flames.




If there is any mistake in any particular question or the options, please comment below and it will be rectified soon. Stay tuned for more Helpful content for you.