Decimal

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3857

 


Directions: Each of the questions given below is followed by series of options among which you have to choose the best one. You can also review your choices by clicking into answer section.


16. The price of commodity X increases by 40 paisa every year, while the price of commodity Y increases by 15 paisa every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs.6.30, in which year commodity X will cost 40 paisa more than the commodity Y?

 A.2010

B.2011

C.2012

D.2013


Answer

                  Ans: Option B

       Explanation:       

       Suppose commodity X will cost 40 paisa more than Y after z years.

       Then, (4.20 + 0.40z) – (6.30 + 0.15z) = 0.40

       0.25z = 0.40 + 2.10

       z = 2.50/0.25 = 250/25 = 10.

       X will cost 40 paisa more than Y 10 years after 2001 i.e., 2011.


 17. Which of the following series is in ascending order?

A. 3/5, 7/9, 6/7

B. 7/9, 6/7, 3/5

C. 7/9, 3/5, 6/7

D. 6/7, 7/9, 3/5


Answer

                  Ans: Option D

       Explanation:

       Convert each in decimal form and you will get answer


18. 4.036 divided by 0.04 gives :

 A.1.009

B.10.09

C.100.9

D. None of these


Answer

                  Ans: Option C

       Explanation:

       4.036/0.04 = 403.6/4 = 100.9


19. How many digits will be there to the right of the decimal point in the product of 89.635 and 0.02218?

A. 5

B. 6

C. 7

D. 8


Answer

                  Ans: Option C

       Explanation:

       Sum of decimal places = 3 + 5 = 8

       The last digit to the extreme right is zero (Since 5 x 8 = 40)

       Hence, there will be 7 significant digits to the right of the decimal point.


20. What decimal of an hour is a second?

A. 0.0025

B. 0.0256

C. 0.00027

D. 0.000126


Answer

                  Ans: Option C

       Explanation:

       Required decimal = 1/(60 x 60) = 1/3600 = 0.00027


21. If 2994/14.5 = 172, then 29.94/1.45 = ?

A. 0.172

B. 1.72

C. 17.2

D. 172


Answer

                  Ans: Option C

       Explanation:

       29.94/1.45=299.4/14.5

       (2994/14.5*1/10)[Here, Substitute 172 in the place of 2994/14.5]

       172/10

      17.2


22. The value of (489.1375 x 0.0483 x 1.956)/( 0.0873 x 92.581 x 99.749)is closest to:

A.0.006

B.0.06

C.0.6

 D.6


Answer

                  Ans: Option B

       Explanation:

       (489.1375 x 0.0483 x 1.956)/(0.0873 x 92.581 x 99.749) ≈ (489 x 0.05 x 2)/(  0.09 x 93 x 100)

       =489 / (9 x 93 x 10)

       =(163/279) x(1/10)

       = 0.58/10

       = 0.058 ≈0.06. 


23. If 1.5x = 0.04y, then the value of ( (y – x) / (y+x) ) is :

A. 73/77

B. 7.3/77

C. 730/77

D. 7300/77


Answer

                  Ans: Option A

       Explanation:

       x / y  = 0.04 / 1.5 = 4 / 150 = 2 / 75.

       ( (y – x) / (y+x) ) = (1 – (x / y)) / ( 1 + ( x / y)) = (1 – 2/75) / (1 + 2/75) = 73/77


24. Which is the least among the following?

A. 1 ÷ 0.3

B. 0.3¯¯¯

C. 0.3

D. (0.3)2


Answer

                  Ans: Option D

       Explanation:

      1 ÷ 0.3 = 10 ÷ 3 = 3.3333…

      0.3 = 0.3

      0.3¯¯¯=0.33333…

     (0.3)2 = 0.3 × 0.3 = .09

     Hence, (0.3)2 is the least 


25. If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :

A. 55.6003

B. 53.603

C. 153.6003

D.  213.003


Answer

                  Ans: Option C

       Explanation:

       4*A + 7/B + 2*C + 5/D + 6*E =47.2506

       4 *A + 7/B + 2 C + 5/D + 6*E = 40 + 7 + 0.2 + 0.05 + 0.0006

      Comparing the terms on both sides, we get :

      4*A =40, 7/B = 7, 2*C = 0.2, 5/D = 0.05, 6*E = 0.0006

      A = 10,

      B = 1,

      C = 0.1,

      D = 100,

      E = 0.0001.

      5*A + 3*B + 6*C + D + 3*E =(5*10) + (3*1) + (6*0.1) +100 +(3*0.0001)

      50 + 3 + 0.6 + 100 + 0.003 = 153.6003. 


26. 3889 + 12.952 – ? = 3854.002

A. 47.095

B.47.752

C. 47.932

D.47.95


Answer

                  Ans: Option D

       Explanation:

       Let 3889 + 12.952 – x = 3854.002.

       Then x = (3889 + 12.952) – 3854.002

       = 3901.952 – 3854.002

       = 47.95. 


27. When 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.0168?

A. 3.12

B. 312

C.  3120

D. None of these


Answer

                  Ans: Option A

       Explanation:

       No explanation


28. Which of the following series is in ascending order

A. 5/6, 6/8, 7/9, 11/13

B. 11/13, 5/6, 7/9, 6/8

C. 6/8, 7/9,5/6, 11/13

D. 11/13, 7/9, 6/8, 5/6


Answer

                  Ans: Option C

       Explanation:

       Convert in decimal


29. The value of 729.124932×0.04293×2.92333760.0683×97.671×999.6289 is closest to

A. 0.003

B. 0.03

C. 0.3

D. 3


Answer

                  Ans: Option B

       Explanation:

       Here, the given choices are not closer. Hence, we can make a fair amount of approximation in the calculations.

       729.124932×0.04293×2.92333760.0683×97.671×999.6289

                                            ≈

       730×0.05×30.05×100×1000≈730×3100×1000

                                           ≈

        73×310×1000  ≈   21910×1000   ≈  .0219  ≈  .03


30. The number 0.127 is how much greater than 1/8?

A. 1/100

B. 1/1500

C. 1/2

D. 1/500


Answer

                  Ans: Option D

       Explanation:

       0.127 expressed as a fraction = 127/1000

       1/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000

       The difference is 2/1000, which is 1/500


 

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