SAT Diagnostic Practice Test 1
- 1.If x, y and z are three consecutive odd integers such that 10< x < y < z< 20 and if y and z are prime numbers, what is the value of x + y?
- A.
24
- B.
27
- C.
19
- D.
32
- E.
15
- 2.If p > 0, which of the following is equal to √48p3
- A.
4p√3p
- B.
3p√4p
- C.
2√12p
- D.
3√8p
- E.
16p√3p
- 3.If 40% of x is equal to 30% of y, what % is x of y?
- A.
50%
- B.
75%
- C.
175%
- D.
20%
- E.
40%
- 4.If 4(3x - 3) = 24, what is 5x - 5?
- A.
10
- B.
6
- C.
24
- D.
3
- E.
4
- 5.The average of 11 numbers is 21 . The average of seven of those numbers is 25. What is the average of the remaining four numbers?
- A.
4
- B.
12
- C.
14
- D.
21
- E.
25
- 6.Which of the following is equivalent to 6x 2 + x - 12 ?
- A.
(2x + 3)(3x - 4)
- B.
(2x - 3)(3x - 4)
- C.
(2x + 3)(3x + 4)
- D.
(6x + 3)(x - 12)
- E.
(x + 3)(2x - 12)
- 7.
- A.
81
- B.
40
- C.
72
- D.
9
- E.
18
- 8.If 2 dots are equal to 3 dashes and 5 dashes equal to 7 stars, what is the ratio of one dot to one star?
- A.
10 ⁄ 21
- B.
3 ⁄ 5
- C.
5 ⁄ 3
- D.
21 ⁄ 10
- E.
2 ⁄ 3
- 9.A social welfare organization spends 40% of the funds collected towards old-age homes. If during an year 1.6 million dollars was spent on old-age homes, what is the total amount of funds collected in millions of dollars?
- A.
4.0
- B.
6.0
- C.
4.6
- D.
40.0
- E.
1.6
- 10.
In the given figure, Note: Figure not drawn to scale.
- A.
130 degrees
- B.
90 degrees
- C.
100 degrees
- D.
30 degrees
- E.
160 degrees
- 11.
Solve for x:
- A.
12 < x < 13
- B.
-12 < x < -13
- C.
-5 < x < -5
- D.
-25 < x < 25
- E.
-12 < x < 13
- 12.A car travels a distance of 250 miles, 700 miles and 325 miles at the rate of 50 miles/hr, 35 miles/hr and 13 miles/hr respectively.Find the average speed of the car in miles/hr.
- A.
30
- B.
25.5
- C.
42.5
- D.
13
- E.
50
- 13.By which of the following number is 98765432 exactly divisible?
- A.
9
- B.
7
- C.
5
- D.
8
- E.
11
- 14.In a class of 30 students, 14 take tea and 20 take coffee. How many take both tea and coffee?
- A.
16
- B.
10
- C.
14
- D.
30
- E.
4
- 15.
In the given figure, area of square ABED is 9 square units, BC = 5 units, EF = 1 unit. Find the area of the rectangle BCGF.
- A.
25 square units
- B.
30 square units
- C.
36 square units
- D.
20 square units
- E.
15 square units
- 16.If y2 = c, where y and c are integers, which of the following could be the value of c?
- A.
45
- B.
17
- C.
64
- D.
34
- E.
10
- 17.
In a store
- A.
15
- B.
24
- C.
150
- D.
100
- E.
240
- 18.Each month for 6 months the price of a commodity is doubled. At the end of the 6 months the price of the commodity is $640. What was the price of the commodity at the end of 3 months?
- A.
$100
- B.
$120
- C.
$80
- D.
$320
- E.
$160
- 19.
Alda can complete a test in .
- A.
N
- B.
Ab
- C.
Nab
- D.
A
- E.
B
- 20.
An operation * is defined as follows: For any two positive numbers x and y,
- A.
11 * 4
- B.
4 * 9
- C.
4 * 16
- D.
7 * 4
- E.
9 * 9
- 21.If x2y > 0 and xy2 < 0,then which of the following are true?
- A.
A. x = 0
- B.
B. y = 0
- C.
C. x > 0 and y < 0
- D.
D. x < 0 and y > 0
- E.
E. x > 0 and y > 0
- 22.
In the given figure, EB is perpendicular to FC, and AD and EB intersect at point F. What is the value of Note: Figure not drawn to scale.
- A.
A. 50 degrees
- B.
B. 40 degrees
- C.
C. 100 degrees
- D.
D. 90 degrees
- E.
E. 180 degrees
- 23.At what point will 12x2 + 5x + 1 attain the minimum value?
- A.
A. 5 ⁄ 24
- B.
B. -5 ⁄ 24
- C.
C. 15 ⁄ 8
- D.
D. 24 ⁄ 5
- E.
E. 8 ⁄ 1
- 24.If x and y are multiples of 3, which of the following CANNOT also be a multiple of 3?
- A.
A. x + y
- B.
B. x - y
- C.
C. x + y + 1
- D.
D. xy
- E.
E. xy + 3
- 25.How many positive integers less than 80 are equal to the product of a positive multiple of 5 and an even number?
- A.
A. 3
- B.
B. 5
- C.
C. 15
- D.
D. 9
- E.
E. 7
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