Percentages [Question Bank]

  1.  7% =
    a. 7.0
    b. 0.7
    c. 0.07
    d. 0.007
  2. 4% =
    a. 0.04
    b. 0.4
    c. 4.0
    d. 0.004
  3. 25% =
    a. 0.025
    b. 0.25
    c. 2.5
    d. 2.05
  4. 2.06% =
    a. 2.06
    b. 0.206
    c. 0.0206
    d. 206
  5. 300% =
    a. 0.03
    b. 0.3
    c. 3.0
    d. 30.0
  6. 0.05 =
    a. 0.50%
    b. 5.0%
    c. 50.0%
    d. 500%
  7. 1/4  =
    a. 25%
    b. 0.25%
    c. 0.025%
    d. 0.0025%
  8. 80% of 400 =
    a. 480
    b. 340
    c. 320
    d. 180
  9. 60% of 390 =
    a. 234
    b. 190
    c. 180
    d. 134
  10. 42% of 997 =
    a. 990.24
    b. 499.44
    c. 450.24
    d. 418.74
  11. 300% of 20 =
    a. 7
    b. 20
    c. 30
    d. 60
  12. 20% of 96 =
    a. 19.2
    b. 1.92
    c. 0.92
    d. 0.092
  13. What percentage of 600 is 750?
    a. 80%
    b. 85%
    c. 110%
    d. 125%
  14. What is 44% of 5?
    a. 0.22
    b. 2.2
    c. 2.02
    d. 0.0022
  15. What is 0.2% of 20?
    a. 4.0
    b. 0.4
    c. 0.04
    d. 0.0044
  16. 35% of what number is equal to 14?
    a. 4
    b. 40
    c. 49
    d. 400
  17. What percent of 50 is 12?
    a. 4%
    b. 14%
    c. 24%
    d. 0.4%
  18. Preetam has finished reading 30% of a 340-page novel. How many pages has she read?
    a. 102
    b. 103
    c. 105
    d. 113
  19. Shivkumar and Veeresh arrive late for a movie and miss 10% of it. The movie is 90 minutes long. How many minutes did they miss?
    a. 10 minutes
    b. 9 minutes
    c. 8 minutes
    d. 7 minutes
  20. A class enrollment of 30 students was increased by 20%.What is the new class size?
    a. 36 students
    b. 39 students
    c. 42 students
    d. 50 students
  21.  What percent of the figure is shaded?

percent1

22.The population of Smithtown increases at a rate of 3% annually. If the population is currently 2,500, what will the population be at the same time next year?
a. 2,530
b. 2,560
c. 2,575
d. 2,800

23. Which of the following phrase means “percent”?
a. “per part”
b. “per 100 parts”
c. “per fraction”
d. “per decimal”

24.At the city park, 32% of the trees are oaks. If there are 400 trees in the park, how many trees are NOT oaks?
a. 128
b. 272
c. 278
d. 312

25. Matthew had 200 baseball cards. He sold 5% of the cards on Saturday and 10% of the remaining cards on Sunday. How many cards are left?
a. 170
b. 171
c. 175
d. 185

Posted in Aptitude Concepts & Questions, Mathematics | Tagged , , , , ,

Square roots of perfect squares

    Slide1

 

 

To find the square root of a perfect square number:

  •  We find the first figure by looking at the first figures and we find two possible last figures by looking at the last figure. 
  •  We find the first figure by looking at the first figures.
  •  we find two possible last figures by looking at the last figure.
  •  We then decide which is correct either by considering the digit sums or by considering the square of their mean.

    Consider for example: 

     1.)   Square root of 12544

            a. We divide the given number into two groups as  125 & 44.

            b. Now we will find the nearest square number to the first group (i.e 125) 

                     We have  11 & 12

                               11^2 = 121  & 12^2 = 144

                     Now, we need to choose between these two. 

                            Choose  the smallest value (i.e below 125) = 121 

                           The square root of 121 = 11. This forms the first part of our answer. 

         c.  As the second group ends with 44, therefore the square root of number ends with either   2 or 8 ( Since 2^2 = 4 & 8^2 = 64).

    Here also, we have two answers. We need to find the correct answer.

        We will use the digital sum concept, then digital sum of 112^2 = (1+1+2)^2

     = 4^2 = 16 = 7. Similarly, 118^2 = (1+1+8)^2 = 1^2 =1.

12544 = ( 1+2+5+4+4) = 16=7

By observing the above two digital sum with that of given number whose square root is to be found.

        Therefore, square root of 12544 = 112

2.   Square root of 5929

       a. Grouping will be  59 & 29.

      b.  Nearest square number to the first group (i.e 59) 

                     We have  7 & 8

We will choose the first one, (i.e 7) since 7^2 = 49  is less than 59.

    c. 2nd group (i.e 29), we will  have two choices- 3 & 7

        Now the answers are 73 &77

  We need to choose one answer between above answers.

    DS( 5929) = 5+9+2+9 = 7       

  DS(73)^2 = 1^2 =1                  

DS(77)^2 = 14^2 =5^2 =7

 Now, comparing the above digital sum(DS). We will come know that 77 is the correct answer. 

Therefore, square root of 5929 = 77

 

Exercise: 

  Find the square root of

a.) 17161

b.) 4761

c.) 53361

d.) 4356

e.) 9216

 

Posted in Mathematics, vedic Mathematics | Tagged , , , , , ,

What comes next in this sequence 2, 5, 14, 26, 79, 126?

My answer to What comes next in this sequence 2, 5, 14, 26, 79, 126?

Answer by Praveenkumar Kalikeri:

Thanks for the question.

First let us rewrite the given sequence:

Let Y be the next term in the sequence.

2, 5, 14, 26, 79, 126, Y

Now, we will find difference between the terms of sequence as

5 -2 = 3 ———————(1)

14- 5 = 9 ——————-(2)

26–14 = 12 —————- (3)

79–26 = 53 ————— (4)

126- 79 = 47 —————(5)

Y- 126 = X ( let X be difference here ) ———-(6)

Now, we can observe the pattern as

(1) + (4) = 56

(2) + (5) = 56

Similarly, we should have (3) + (6) = 56

Therefore, 12 + X = 56

X = 56–12 = 44

Finally, we have

Y = 126+44

Y = 170

Therefore, next term in the sequence is 170.

Hope it is correct.

What comes next in this sequence 2, 5, 14, 26, 79, 126?

Posted in Mathematics

Important Integer Series

equations1

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IInd PU Mathematics Question Paper -2017

book-1853677__340

 

 

 

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Posted in Mathematics

Daily Question -9

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Daily Question -8

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Daily Question – 7

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Daily Question -6

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Daily Question -5

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