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Wednesday, September 19, 2012

Answer Key Maths 1-25 LGO Examinatio 2012

       
Q1  If  the radius of circle 7  cm  then   the area of  circle  is


153.86  CM  Square   
Q2  A  taxpayer   is exempted  of income tax for  the first  Rs 40000.00 of his annual  income  and for rest of income  he has to pay  tax at the rate  of 20 % . If he  pays  Rs 3160 annually  as income tax find his  monthly  income

A    4850    B  4650   C.   4550     D.  None  of  these

Correct Answer   D  None  of  these

Explanation   :  Let  the  annual  income of Tax prayer  is  ( x+40000)
Then   x *20/100= 3160 *12

X=5*3160=  Rs  15800/-   

Then annual  income  of tax  payer

40000+15800   =  55800/- 
So   monthly  income   is      55800/12    =  4650/- 
Hence Correct  answer   is   B  4650/-  

Q3  The  perimeter  of an  isosceles  triangle  is 42 cm  and its base is  1  ½  times  each of  the equal side  of the triangle 

A.      12 cm, 12 cm  18  cm
B.       6 cm 6  cm 9  cm
C.       18 cm, 18 cm 24 cm
D.      None of  these

Correct  Answer   A .   12 cm, 12 cm  18  cm

Explanation 

Given, perimeter of an isosceles triangle = 42 cm
Let the equal  side of triangle be x cm
Base of triangle =   x
So, perimeter = 42 cm
So, the length of each side of the triangle is 12cm, 12cm and 18cm respectively.


Q4   Find the  total surface area  of a cylinder  having  radius  of the base  14 cm  and height  30 cm

A.      3872 cm2
B.      4872 cm2
C.       3782 cm2
D.      None  of  these
Q 5   When  the fractions  9/11 , 8/10 7/9  7/11 arranged  in the  ascending  order of  value  the result is

A .  7/11  8/10 7/9  9/11
B.  9/11 8/10  7/9  7/11
C.  7/11  7/9  8/10  9/11
D.  8/10  7/11  9/11  7/9

Correct   Answer   C  .  7/11  7/9  8/10  9/11


Q6  How many  cubes  of 3 cm edge can be cut  out of cube  of 18 cm edge

A  216  B  516  C  36  D  None of  these

Correct  Answer   A  216
Q7  A reduction  of 10  %   in the price of sugar  enables  a shopkeeper  to obtain  25  kg  more  for  2250
The original  price  per kg 
A    8
B   9
C  10
D  11
Correct Answer    9

Q8  The cost price of  19 mangos  is equal  to the selling price of 16 mangoes . The gain  percent is

A  3 9/17 %
B  15  15/19 %
C   18 ¾  %
D  20  %

Correct  Answer   D  20  %

Q9  A  train travelled  distance of 10 KM , 20 KM  and 30 KM  at speeds  of 50  KM . 60 KM and 90  KM respectively . The average speed  of the  train  in (KM/Hour) was

A.      66.67
        B  60 
        C   69.23
         D None of These

Correct   Answer  A 66.67

Q10  Find smallest number  which  is divisible  by  12 , 15,20  and  is perfect  square

A  400
B 180
 C 900
D 1000

Correct Answer    C  900

Explanation
Find  LCM of  12, 15  and 20
12  -  2*2*3 *
15 =  3*5
20= 2*5 
LCM = 2*2*3*3*5   (  2 and 3  have  their  pairs  and  5 has no  pair   to make  a perfect square  LCM is  multiply  with  5
Ie  2*2*3*3*5*5= 900

Q11  if 6 men can do  a piece  work in 20 days  and one man can do   the work of two boys  then  in how many days  can  10 men and  5 boys  do the same work

 A 8
B 10
C 12
D None of these


Q12   A train length  150 m   takes  40.5 seconds  to cross the tunnel  of length 300 m . The speed of train (in  KM/HR)  is
A 13. 33
B  26.67
C  40
D  400

Correct  Answer   C 40

Q13  if   the number  is multiplied  by  three  fourth  of itself   thus  obtained  is 10800.  What is that number

A  210
B  189
C 120
D  160

Correct  Answer  C  : 120 
120*3/4  =  90
120*90=10800
Q14  If  the  three fourth   of number  is subtracted  from  the number , the value  so obtained  is 163
What  is that number

A  625
B  562
C 632
D 652
Correct answer   D 652 
652*3/4  = 489    so   652-489  = 163
Q15   In a division sum   a student  took   63 as  divisor  instead of  36 .  His answer  was 24
The correct answer   is 
 A  36
B  42
C 32
D  None of  these

Correct  Answer  B  42

  X/63  =24     63*24= 1512      Then  1512/36= 42

Q16   Which of  the following  statement is a true  statement
A    and  22  /7   are  both  rational 
B    and  22  /7   are  both irrational
 and  is rational  and  22  /7   irrational
D  and  is irrational  and  22  /7   rational

 

Q17   If  one kilometer  is  equal  to   10  hectometer  then 1 hectometer  is equal to 
A      10  decameters
B      1  deca
meter
C      100  decameters
D    10   Decimeters

1 hecto meter is equal to 100 meters, as is 10 decameters
So  correct  answer   A


Q18   The  average of  8  numbers  taken   together is 12 .  Two of these  numbers  are 0  and the remaining numbers are equal  .  What is  the value  of  the  non zero  number
12 
B  14
C  16
D 18


12*6+0+0=  72/8  =  9
14*6+0+0=  84/8 = 10.5
16*6+0+0= 96/8  =  12 
18*6+0+0 =  108/8=  13.5  

So  the correct answer   is   C  16

Q19  The average salary of all workers in a workshop is Rs 850/- There are seven technicians whose average salary is Rs 1000/- and average salary of other is Rs 780/- what is the total number of workers in the workshop.
A  18
B 20
C 21
D 22
Correct   Answer   D 22
Q20  A sum of Rs 8500/- is to be divided among 5 men, 6 women and 8 boys in the ratio of 10:7:1 . the share of one woman will be
A 85

B 385
C 595
D 850
             
Correct Answer   85
Q21 Gudia purchased a watch at 9/10th  of its selling price and sold it at 8% more that it selling price. Her gain is

A 18 %
B  20 %
C 10  %
D None of  these

Q22  A fruit seller  had some apples. He sells 40% apples and still has 420 apples. Originally, he had.
A 588   apple
B 600 apple
C  672  apple
D  700 appl
e
C
orrect   answer   D  700  Apple
Q23   In the first 10 overs of a cricket game, the run rate was only 3.2 . What should be the run rate in the remaining 40 overs to reach the target of 282 runs

A  6.25
B  6.5
C 6.75
D  7
Correct  Answer   A 6.25
Q24  How much time will it take for an amount of  Rs 450 to yield Rs 81 as interest at 4.5% per annum of simple interest
A 3.5
B   4
C  5
D  4
Correct  Answer  D   4 Years

Q25 The ratio between the length and the breadth of a rectangular park is 3:2 if a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, the  park (in sq. m) is

A   15360  
B  153600
C  30720
D  None of these

Correct  Answer  A 15360
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