NDA MATHS QUESTION BANK

(sacavldel) #1

  1. The geometric mean of three
    numbers was computed as 6. It was
    subsequently found that in this
    computation, a number 8 was wrongly
    read as 12. What is the correct
    geometric mean?


(a) 4 (b) √^ (c) 2√^ (d) None of
these



  1. The variance of the first n natural
    number is:


(a) (^


(^) )
(b)
( )
(c)
( )
(d)
( )



  1. The arithmetic mean of 100
    numbers was computed as 89.05. It
    was later found that two numbers 92
    and 83 have been misread as 192 and
    33 respectively. What is the correct
    arithmetic mean of these numbers?
    (a) 88.55 (b) 87.55 (c) 89.55 (d)
    Cannot be calculated from the given
    data

  2. A class consists of 3 sections A, B
    and C with 35, 35 and 30 students
    respectively. The arithmetic means of
    the marks secured by student of
    sections A and B, who appeared for a
    test of 100 marks are 74 and 70
    respectively. The arithmetic of mean of
    the marks secured by students of
    section C, who appeared for a test in
    the same subject which carried 75
    marks is 51. What is the average
    percentage of marks secured by all the
    100 students of the three sections?
    (a) 70 (b) 70.8 (c) 65 (d) 67.5
    22. If n= 20, ̅= 50 and ∑ = 84000,
    then the variance is equal to:
    (a) 1500 (b) 1700 (c) 1750 (d) 1800
    23. The marks of the students of a class
    who appeared for a test in English are
    represented in the following frequency
    table.


Class
interv
al

1


-


1


0


1


1 -


2


0


2


1 -


3


0


3


1 -


4


0


4


1 -


5


0


5


1 -


6


0


Frequ
ency

9 2


2


- 2


0


1


2


8 100


(total
freque
ncy)

What is/are the modal class (es)?
(a) 10.5-20.5 only (b) 20.5-30.5 only
(c) 10.5-20.5 and 20.5-30.5 (d) There
is no modal class


  1. If the median of x/5, x/4, x/2, x and
    x/3, where x>0, is 8 then the value of x
    is equal to:
    (a) 26 (b) 24 (c) 20 (d) 32

  2. Following table gives the mean and
    variance of monthly demand for four
    products A, B, C and D in a super
    market:


Product A B C D
Mean
Demand
Variance

60


12


90


25


80


36


120


16


For which product the demand is
consistent?
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