In this page ACT practice paper1 solution1 we are going to see solution of some practice questions.
If x = -2 and y = 3 then find the value of |2 x - 3 y|
To find the value of |2 x - 3 y| we have to apply the value of x and y in the given statement.
= |2 x - 3 y|
= |2 (-2) - 3 (3)|
= |-4 - 9|
So the required answer 13.
Simplify the following (8 + 5) x (35/5) + 6
To simplify this we have to use the rule known as "BODMAS" in the topic "order of operation". First we have to consider the symbol bracket or parenthesis.
= (8 + 5) x (35/5) + 6
= 13 x 7 + 6
next we have to multiply
= 91 + 6
finally we have to add
So the required answer will be 97.
54 _562. This number is divisible by 3. Fill in the blank with any least suitable digit.
Here the given number 54 _562 is divisible by 3. From this we have to fill a suitable number. For that let us remember the condition for a number which is divisible by 3.
A number is divisible by 3 if the sum of the digits is divisible by 3.Ex : 363 Here sum of the digits 3 + 6 + 3 = 9 which is divisible by 3.So the whole number will be divisible by 3.
Let us consider the missing number as "x". Let us find the sum of digits
= 5 + 4 + x + 5 + 6 + 2
= 9 + x + 11 + 2
= 22 + x
There is only one number should be placed. If we put 2 instead of x, the sum will become 24. So it will be divisible by 3. If we put 5 instead of x, the sum will become 27. That number also be divided by 3.But we have to put only least number. So we have to choose 2.
The weight of an empty bottle is 128.4 gram. It contains a syrup. The weight of the syrup is 156.8 gram. What is the weight of 24 bottles of syrup?
The weight of an empty bottle = 128.4 gram
weight of the syrup = 156.8 gram
weight of one bottle with syrup = weight of empty bottle + weight of syrup
= 128.4 + 156.8
from this we have to find the weight of 24 bottles
= 24 x 285.2
= 6844.8 grams
So the required weight is 6844.8 grams
ACT practice paper1 solution1 ACT practice paper1 solution1