Problem 1 :
Column A
6.54×104
Column B
65400
(A) Column A is greater (B) Column B is greater
(C) Both are equal (D) None of these
Solution :
Column A :
Given, 6.54×104
= 6.54×10000
= 65400.00
= 65400
Column B :
Given, 65400
So, Both are equal.
Problem 2 :
Column A
40×0.25
Column B
√12
(A) Column A is greater (B) Column B is greater
(C) Both are equal (D) None of these
Solution :
Column A :
Given, 40×0.25
= 40×0.25
= 10
Column B :
Given, √12
The value of √12 is 3.464
So, Column A is greater.
Problem 3 :
Lines A and B are parallel.
Column A
Angle d
Column B
Angle g
(A) Column A is greater (B) Column B is greater
(C) Both are equal (D) None of these
Solution :
By observing the picture, g is greater angle.
So, column B is greater.
Problem 4 :
Column A
1+k×4
Column B
(1+k)×4
(A) Column A is greater (B) Column B is greater
(C) Both are equal (D) None of these
Solution :
Column A :
Given, 1+k×4
= (1+k)×4
Column B :
Given, (1+k)×4
So, Both are equal.
Problem 5 :
Column A
The remainder of 21448/4
Column B
01
(A) Column A is greater (B) Column B is greater
(C) Both are equal (D) None of these
Solution :
Column A :
Given, 21448/4
So, The remainder is 0
Column B :
Given, 01
= 0
Therefore, Both are equal.
Problem 6 :
Column A
The ratio of green apples to red apples
Column B
The ratio of yellow apples to red apples
(A) Column A is greater (B) Column B is greater
(C) Both are equal (D) None of these
Solution :
Column A :
Given, Ratio of green apples to red apples 2:4
= 2/4
= 1/2
Column B :
Given, Ratio of yellow apples to red apples 5:4
= 5/4
Now we have two ratios 1/2 and 5/4.
Changing the denominators same, we get
2/4 and 5/4
2/4 < 5/4
So, Column B is greater.
Problem 7 :
Column A
50×1/4
Column B
20% of 45
(A) Column A is greater (B) Column B is greater
(C) Both are equal (D) None of these
Solution :
Column A :
Given, 50×1/4
= 50×1/4
= 50/4
= 12.5
Column B :
Given, 20% of 45
= 20/100×45
= 45/5
= 9
So, Column A is greater.
Problem 8 :
Column A
√36
Column B
63/62
(A) Column A is greater (B) Column B is greater
(C) Both are equal (D) None of these
Solution :
Column A :
Given, √36
= √6×6
= 6
Column B :
Given, 63/62
= 6×6×6/6×6
= 216/36
= 6
So, Both are equal.
Problem 9 :
Column A
15
Column B
The next number in the series
2, 3, 4, 6, 8, 9, 10, 12, 14,…..
(A) Column A is greater (B) Column B is greater
(C) Both are equal (D) None of these
Solution :
Column A :
Given, 15
Column B :
Given, In the series 2, 3, 4, 6, 8, 9, 10, 12, 14,…..
(Multiplication of 2nd and 3rd tables)
Multiply 2 of 2, 4, 8, 10, 14
Multiply 3 of 3, 6, 9, 12
So, The next number in the series 15
Therefore, Both are equal.
Problem 10 :
(A) Column A is greater (B) Column B is greater
(C) Both are equal (D) None of these
Solution :
Column A :
Given, side a = 6
We know that formula, P = 5a
= 5×6
= 30
Column B :
Given, Base = 5, Height = 6
We know that formula, A = 1/2×b×h
= 1/2×5×6
= 1/2×30
= 15
So, Column A is greater.
Problem 11 :
Column A : 2x + p
Column B : 2y + z
(A) Column A is greater (B) Column B is greater
(C) Both are equal (D) None of these
Solution :
Column A:
2x + p = 180
Column B :
2y + z = 180
Both columns are equal. So, option C is correct.
Problem 12 :
Column A :
The value of a number if 6 times the number is 6
Column B :
The value of a number if 5 times the number is 5
Solution :
Let x be the number.
Column A : 6 x = 6 x = 6/6 x = 1 |
Column B : 5 x = 5 x = 5/5 x = 1 |
So, both columns are equal. Option C is correct.
Problem 13 :
3x + 5 = 20
5y + 3 = 23
Column A :The value of x
Column B : The value of y
Solution :
Solving these equations one by one
3x + 5 = 20
Subtracting 5 on both sides, we get
3x = 20 - 5
3x = 15
Dividing by 3 on both sides.
x = 15/3
x = 5
5y + 3 = 23
Subtracting 3 on both sides, we get
5y = 23 - 3
5y = 20
Dividing by 5 on both sides.
y = 20/5
y = 4
Value of x is greater. Then column A is greater.
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