Quant-4

The function f is defined for all numbers x by f(x)=2+3x.

Quantity A

f(x+4)−f(x)

Quantity B

12

• A is greater

• B is greater

• Both Equal

• Can't be described

y^^{2} > 16

x³< − 8

Quantity A

x

Quantity B

the y

• A

• B

• C

• D

Answer explanation

x<-2, y>4 or y<-4, so the relationship between x and y is uncertain.

A lecture hall has 15 rows of seats. There are n-2 seats in the first row and n seats in each of the other rows. If there are no other seats in the lecture hall and the total number of seats in the lecture hall is Between 180 and 200, what is the total number of seats in the lecture hall?

• 123

• 173

• 193

• 187

• 153

Answer explanation

180< 14n+n-2 < 200, the solution is approximately equal to 12.13<n<13.46, n can only be 13, so the total number is 14n+n-2=193

A quadratic equation of the form x^2-cx+d=0 , where c and d are constants, has solutions 2 and 7. What is the value of d ? _____

• 12

• 14

• 11

• 15

• 17

Answer explanation

Substituting two roots into the quadratic equation of one variable can be obtained

2c-d=4

7c-d=49

Simultaneously get d=14

Quantity A

(−2)⁻⁵

Quantity B

-1

• A

• B

• C

• D

Answer explanation

-5th power is equal to 1/5th power, so QA=-1/32, greater than -1

A farmer blended corn and wheat to make 40 pounds of chicken feed. If the blend consisted of 3 parts of corn and 5 parts of wheat, by weight, how many pounds of the blend was corn?

A 8

B 15

C 16

D 24

E 25

• A

• B

• C

• D

• E

Answer explanation

40*(3/8)=15

Of the 7 guests at a party, 3 are close friends of the host and 4 are acquaintances of the host. At the end of the party, the host will randomly select 2 different guests to win prizes. What is the probability that both of the prizewinners will be among the 3 close friends of the host?

A 1/7

B 1/6

C 2/7

D 1/3

E 2/3

• A

• B

• C

• D

• E

Answer explanation

Molecule C(3,2)=3

Denominator C(7, 2)=21

Probability=3/21=1/7

0 < m < 1 and k=4(9-m)

Quantity A

k

Quantity B

36

• A

• B

• C

• D

S= {3, 6, 9, 12, 15, 18, 21, 24, 27}

T= {6, 10, 13, 18. 24, 26, 30}

Quantity A

The number of elements in the intersection of sets S and T

Quantity B

The number of elements in Set T that are not in set S

• A

• B

• C

• D

Answer explanation

Let's start by finding the elements in the intersection of sets S and T:

S ∩ T = {6, 18, 24}

Therefore, there are 3 elements in the intersection of sets S and T.

Next, let's find the elements in set T that are not in set S:

T \ S = {10, 13, 26, 30}

Therefore, there are 4 elements in set T that are not in set S.

So, the answer is:

Quantity A = 3 Quantity B = 4

Since Quantity B is greater than Quantity A, the answer is:

Quantity B > Quantity A

Quantity A

The number of positive integers less than 1,000 with an odd number of even digits

Quantity B

The number of positive integers less than 1,000 with an odd number of odd digits

• A

• B

• C

• D