Data Interpretation Quiz – March, 2015 – Set 8



Direction (Q. 1-5): A
survey was conducted on 14000 people in India to know about their language. It
was found that 51.6 % people can speak Tamil, 50.4% can speak Hindi and 53.2%
can speak English.

  1. 14.6 % people can
    speak Tamil and English but can’t speak Hindi and this number is 140 more than
    the number of people who can speak only Tamil and Hindi.
  2. 19.2 % people
    can speak only English language.

Answer following
questions based on these information:
1. How many people
are there who can speak only Hindi?
(a) 2212
(b) 2436
(c) 2688
(d) 7056
(e) None of these
2. What is the
percentage of people who can speak all three languages?
(a) 5.4 %
(b) 6.2 %
(c) 7.6 %
(d) 8.4 %
(e) None of these
3. What is the
difference between number of people who can speak Tamil and number of people
who
can speak only Tamil?
(a) 4816
(b) 4884
(c) 4924
(d) 5012
(e) None of these
4. What is the
percentage of people who can speak Hindi and English but can’t speak Tamil?
(a) 11.8 %
(b) 12.4 %
(c) 14.6 %
(d) 15.8 %
(e) None of these
5. What is the
percentage of people who can speak at least two languages from the given three?
(a) 42.4 %
(b) 40 %
(c) 45.8 %
(d) 47.6 %
(e) None of these
Solutions:

51.6% = 7224
50.4% = 7056
53.2% = 7448         
14.6% = 2044
19.2% = 2688
x + k = 7224 – (2044 + 1904) = 3276 ––––– (I)
z + k = 7448 – (2044 + 2688) = 2716 –––––– (II)
y + z + k = 7056 – 1904 = 5152 –––––––––– (III)
x + y + z + k = 14000 – (2044 + 1904 + 2688) = 7364 –– (IV)
equn (IV) – equn (III)
x = 7364 – 5152 = 2212
From equn (I) k = 3276 – 2212= 1064
From equn (II) z = 2716 – 1064 = 1652

From equn (III) y = 5152 – 2716 = 2436
2. 1064/14000 × 100 = 7.6%
3. 7224-2212=5012
4. 1652/14000 x 100 = 11.8%
5. At least two language = 1904 + 2044 + 1652 + 1064 = 6664

So, 6664/14000 x 100 = 47.6%

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