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QuantComparisons

Level 1 Questions
     


1.  

ColumnA   ColumnB
Area of AOB   

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  Both are equal
      4.  Cannot be determined

Answer : 2

Explanation :

(72/360)=(1/5). Therefore

2.  x is not equal to zero
ColumnA   ColumnB
(-x)/(-x)   (-x)(-x)

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  both are equal
      4.  Cannot be determined

Answer : 4

Explanation :

(-x)/(-x) is constant which is equal to 1, but (-x)(-x) is any positive real number depending upon the value of x. Therefore these cannot be compared.

3.  


ColumnA   ColumnB
x   5y/3

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  Both are equal
      4.  Cannot be determined

Answer : 3
 
Explanation :
 
After solving the system of equations we get y=3 and x=5. Therefore x=(5y/3).



4.  

ColumnA   ColumnB
x + y+ m + n + z   x + y + 2m + 2n

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  Both are equal
      4.  Cannot be determined
 
Answer : 3
 
Explanation :
 
The exterior angle of a triangle is equal to the sum of the interior opposite angles. Therefore z=x+y=m+n. x + y + m + n + z = 3z and x+ y + 2m + 2n = x + y + 2(m+n) = 3z. Therefore x + y + m + n + z = x+ y + 2m + 2n.





5.  

ColumnA   ColumnB
   

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  Both are equal
      4.  Cannot be determined

Answer : 3

Explanation :

From the given figure we know z=y. = y+x =180-90 =90. = 180 -90 = 90.

6.  
a/b = x/y
ColumnA   ColumnB
ay   bx

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  oth are equal
      4.  Cannot be determined

Answer : 3

Explanation :

a/b = x/y implies ay = bx

7.  
3 x 3 x 3 x X = 4 x 4 x 4 x 4
ColumnA   ColumnB
4   X

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  oth are equal
      4.  Cannot be determined

Answer : 2

Explanation :
 
27X= 256 X = 256/27 = 9.48 > 4

8.  

x=40 degrees.
ColumnA   ColumnB
The length AC   The length CB

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  Both are equal
      4.  Cannot be determined

Answer : 1

Explanation :

Since x=40 we have y=90-40=50. The length of the side opposite to the greater angle is greater than the length of the side opposite to the smaller angle. Therefore the length of AC > the length of BC so ans is (A).

9.  

In the above figure, the lines m and n are parallel.
ColumnA   ColumnB
Area ABC   Area ADB

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  Both are equal
      4.  Cannot be determined

Answer : 3

Explanation :

Since the lines m and n are parallel, height of the Triangle ABC and height of the Triangle ADB will be same and equal to the perpendicular distance of the two parallel lines m and n. Therefore Area of ABC= Area of ADB= (1/2)(AB)(the perpendicular distance of the two parallel lines m and n). Therefore both columns are same.

10.  
The area of the Triangle ABC = 82. The measure of angle B is equal to the measure of angle C, which is 50 degrees.
ColumnA   ColumnB
Length of AC   Length of AB

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  oth are equal
      4.  Cannot be determined

Answer : 3

Explanation :
Since the measures of Angle B and Angle C are equal, the sides opposite to these angles will be equal Therefore length of AC= length of AB.

11.  
X * Y means subtract X from Y and add it to the remainder of Y divided by X. (X less than or equal to Y.)
ColumnA   ColumnB
(6*7)*(5*6)*(4*5)*(3*4)*(2*3)(1*2)   0

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  both are equal
      4.  Cannot be determined

Answer : 3

Explanation :

6*7=(7-6)+1=2. (Here if we divide 7 by 6 the remainder is 1.) Similarly we get 5*6=4*5=3*4=2*3=1*2=2. Therefore (6*7)*(5*6)*(4*5)*. . .*(1*2) = 2*2*2*2*2*2 = 0. (Since * is associative that is (x*y)*z = x*(y*z) and 2*2 = (2-2)+0 = 0.)


12.  
x+4y=5/2 and x+y=-3/2.
ColumnA   ColumnB
3y   4

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  both are equal
      4.  Cannot be determined

Answer : 3

Explanation :

Given that x+4y=5/2 and x+y=-3/2. By subtracting 2nd one from first one we get 3y=4. Column A = 3y=4. Column B is 4. Therefore Column A = Column B.

13.  
Six identical pieces of gold were of an average weight of 6.5 grams. When a piece of silver was added, the average weight of each piece became 6.9 grams.
ColumnA   ColumnB
Weight of a gold piece   Weight of the silver piece

      1.  Quantity in Column A is Greater
      2.  Quantity in Column B is Greater
      3.  both are equal
      4.  Cannot be determined
 
Answer : 2
 
Explanation :

Given that the average weight of gold piece = 6.5 grams and the average weight of the seven pieces (six gold + one silver piece) =(7x6.9) = 48.3 grams. The total weight of six gold pieces = (6x6.5)=39 grams. Therefore the weight of silver pieces = (48.3-39)=9.3 grams.





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