SCAT MATH PRACTICE INTERMEDIATE

Problem 1 :

Column A

5×5×5×5×5

Column B

5⁵

(A)  Column A is greater     (B)  Column B is greater

(C)  Both are equal     (D)  None of these

Solution :

Column A :

Given, 5×5×5×5×5

So, 5⁵

Column B :

Given, 5⁵

Therefore, Both are equal.

Problem 2 :

Column A

10% of 30

Column B

5% of 61

(A)  Column A is greater     (B)  Column B is greater

(C)  Both are equal     (D)  None of these

Solution :

Column A :

Given, 10% of 30

=  (10/100)⋅30

=  3

Column B :

Given, 5% of 61

=  (5/100) ⋅ 61

=  3.05

So, Column B is greater. 

Problem 3 :

Data : 5, 6, 6, 6, 9, 11, 11

Column A

The Mode

Column B

The Median

(A)  Column A is greater     (B)  Column B is greater

(C)  Both are equal     (D)  None of these

Solution :

Column A :

Given data is 5, 6, 6, 6, 9, 11, 11

We find Mode,

Mode is the most the most repeated value.

6 is repeated three times and 11 is repeated two times.

So, mode is 6

Column B :

Given data is 5, 6, 6, 6, 9, 11, 11

To find median, we will arrange the data is ascending order. Since it is already arranged, we can take the middle element to find median.

So, Median is 6

Therefore, Both are equal.

Problem 4 :

Column A

The value of 2 dimes and 7 pennies

Column B

The value of 5 nickels

(A)  Column A is greater     (B)  Column B is greater

(C)  Both are equal     (D)  None of these

Solution :

Column A :

Given, The value of 2 dimes and 7 pennies

We know that,

1 dime is worth 10 cent, 1 penny is worth 1 cent

So, 2×10  =  20 cents

7×1  =  7 cents

The value of 2 dimes and 7 pennies  =  20+7  =  27 cents.

Column B  :

Given, The value of 5 nickels.

We know that,

1 nickel is worth 5 cent.

So, 5×5  =  25 cents.

Therefore, Column A is greater.

Problem 5 :

Column A

The next number in the series :

1/125, 1/25, 1/5,……

Column B

1

(A)  Column A is greater     (B)  Column B is greater

(C)  Both are equal     (D)  None of these

Solution :

Column A :

Given, 1/125, 1/25, 1/5,……

we write,

1/5³, 1/5², 1/5¹,…. 

Next number of the series  =  1/5⁰

So, The next number in the series is 1

Column B :

1

Therefore, Both are equal. 

Problem 6 :

Which column is bigger ?

Column A

The time it will be in 1 hour and 20 minutes

Column B

2:45

(A)  Column A is greater     (B)  Column B is greater

(C)  Both are equal     (D)  None of these

Solution :

Column A :

Given, time is 1:25 to find the time it will be in 1 hour and 20 min.

1 hour 25 minutes + 1 hour 20 minutes

=  2 hour 45 minutes

So, 2 hours 45 minutes.

Column B :

2:45

Therefore, Both are equal.

Problem 7 :

Bobby ate fewer apples than Emma, but more than Dan.

Column A

The amount of apples Emma ate

Column B

The amount of apples Dan ate

(A)  Column A is greater     (B)  Column B is greater

(C)  Both are equal     (D)  None of these

Solution :

Bobby ate fewer apples than Emma, but more than Dan

Let "B", "E" and "D" be the number of apples ate by Bobby, Emma and Dan.

B < E and B > D

They didnt compare E and D. So, the information is not enough.

Problem 8 :

Column A

The number in the hundredth place in 0.8

Column B

8⁰

(A)  Column A is greater     (B)  Column B is greater

(C)  Both are equal     (D)  None of these

Solution :

Column A :

Given, The number in the hundredth place in 0.8

So, 0.8 rounded to the nearest hundredth is 0.80

Column B :

8⁰

=  1

Therefore, Column B is greater. 

Problem 9 :

Column A

24 inches

Column B

2’4”

(A)  Column A is greater     (B)  Column B is greater

(C)  Both are equal     (D)  None of these

Solution :

Column A :

Given, 24 inches

Column B :

Given, 2’4” called as 2 feet 4 inches.

1 feet  =  12 inches

2 feet  =  24 inches

So, 24+4  =  28 inches

Therefore, Column B is greater.

Problem 10 :

What is the name of a rectangle with sides of equal length ?

(A)  Hexagon  (B)  Octagon  (C)  Pentagon   (D)  Square

Solution :

The name of a rectangle with sides of equal length is known as square.

Problem 11 :

Column A :

The value of f(x) in the equation below, when x = 2

f(x) = 3x³

Column B :

The value of f(x) in the equation below, when x = 39

f(x) = (x - 3)/2

Solution :

So, column A is greater.

Problem 12 :

Column A :

√28

Column B :

2√7

Solution :

Both are equal.

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