# Test on Algebra for GRE, GMAT, SAT

Issac read x pages of a book on Sunday, thrice as many pages on Monday as on Sunday and 9 more than twice as many pages on Tuesday as on Sunday. What is the average number of pages he read per day over the three days?
2x + 3
6x + 9
x + 9
3x + 9
x + 3
After 4 flowers were added to a basket, there were 3 times as many flowers in the basket as before. How many flowers were in the basket before the addition?
2
4
1
8
3
Harry has 20 coins consisting of quarters and dimes. If he has a total of \$2.75, how many quarters does he have?
3
5
10
12
8
Find the age of Barbie if the age of Barbie is half the sum of the ages of Sam and Jim also Barbie is 2 years younger than Sam and Jim is 32 years old.
34
36
48
24
12
When 4x is subtracted from 64 and the difference is divided by x + 2, the result is 5. What is the value of x?
4
2
5
6
9
Find the value of x, if a bus starts with x number of passengers. One fourth of the passengers get down at a stop and twenty others get into the bus. At the second stop, eighteen get down and fifteen get into the bus. At the third stop, one fourth of x get in and five get down. The total number of passengers now is 52.
42
57
50
40
44
The sum of two consecutive integers is x. What is the value of the smallest of these two integers?
x ( 1
x ( 2
(x ( 1)/2
x/2 + 1
x/2 ( 1
Find the factors of quadratic equation x2 -9x +20 = 0?
(x+4)(x+5)
(x+4)(x-5)
(x-4)(x+5)
(x-4)(x-5)
(x+2)(x+10)
Two times of a natural number is subtracted from its square and the result is 35. Find the number.
5
7
9
6
8
Find all the roots of the equation 4x4 – 144x2 =0.
0,0,2,3
0,4,2,-3
0,0,6,-6
2,4,-3,6
3,-5,4,2
If the function y = 4x + 3, then find the inverse function of the given function with respect to x.
(x ( 3)/4
(x + 3)/4
x = 4y + 3
x = 4y ( 3
(x ( 4)/3

(x ( 3)/(x ( 5)
(x ( 2)/(x ( 4)
(x ( 4)/(x ( 1)
(x + 3)/(x + 5)
(x + 4)/(x + 1)

2
8
12
16
(2
A shop keeper buys a number of books for eighty dollars. If he had bought four more books for the same amount, each book would have cost one dollar less. How many books did he buy?
16
20
32
10
15
A company has 360 employees. If there are 20 more men than women in the office, how many employees are women?
180
170
200
280
250
Add 12 to x. Multiply the sum by 5 Subtract the product from 9 Which of the following is the result obtained by performing the operations described above?
5x + 51
((5x + 51)
x + 51
x ( 51
5x + 69
Three adults and six children can complete a work in six days. Four adults and five children can complete the same work in five days. The work done by eleven children is equal to the work of how many adults?
Cannot be determined

The quantity in column A is greater.
The quantity in column B is greater.
The quantities are equal.
The relationship cannot be determined from the information given.
Directions: You are given two quantities, one in Column A and one in Column B. You are to compare the quantities and choose the correct options from those given below. Common Information: Information placed above both columns refers to one or both columns. A symbol that appears in both columns represents the same thing in each column. a, b, c all greater than 0. Column (A) (a + b)c Column (B) ac + bc
The quantity in column A is greater.
The quantity in column B is greater.
The quantities are equal.
The relationship cannot be determined from the information given.
Directions: You are given two quantities, one in Column A and one in Column B. You are to compare the quantities and choose the correct options from those given below. Common Information: Information placed above both columns refers to one or both columns. A symbol that appears in both columns represents the same thing in each column. x ( y Column (A) (x – y)2 Column (B) x2 – y2
The quantity in column A is greater.
The quantity in column B is greater.
The quantities are equal.
The relationship cannot be determined from the information given.
Directions: You are given two quantities, one in Column A and one in Column B. You are to compare the quantities and choose the correct options from those given below. Common Information: Information placed above both columns refers to one or both columns. A symbol that appears in both columns represents the same thing in each column. 1 > x > 0 Column (A) x-3 Column (B) x-4
The quantity in column A is greater.
The quantity in column B is greater.
The quantities are equal.
The relationship cannot be determined from the information given.
The roots of a quadratic equation are positive, with their product being 144 and their difference is 10. Then what would be the quadratic equation whose roots are three less than the roots of this equation.
x² – 10x + 75 = 0
x² – 20x + 75 = 0
x² – 20x + 95 = 0
x² + 20x + 75 = 0
Amazon sells 3 types of e-books for its Kindle, these are Premium, Standard, and Omni, costing are \$32, \$19 and \$16 respectively. The amount it earns by selling these e-books in 1st hour Week1 is \$386 only. If it had sold at most 2 eBooks more of Standard type than that of Premium type and if he has sold at least 3 eBooks more of type Omni type than of Standard type, then what is the number of eBooks of Omni type that it sold?
7
8
9
10
Cannot be determined
Description:

This is the second test after Arithmetic. Hope you will do well on this test as well. I am very happy to note that most students have passed the arithmetic test with good marks. I suggest you brush up on your Algebra knowledge before you take this test. ALL THE BEST!!!

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Discussion

Sir, It was really fun to solve the test. I really enjoyed it like solving puzzles.

3984 days 18 hours 7 minutes ago

I flunked 17th question. I resolved it and i came to know that we can do it as:
[ (3a 6c)=1/5 ] * 1/6 and
[ (4a 5c)=1/6 ] * 1/5
we get,
(3/5)a (6/5)c = 1/30

3984 days 18 hours 11 minutes ago

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