**Quant**

All Quant - Randomized Quiz (20 Questions)

1 / 15

*Category:* **Quant 600-700 Problem Solving**

## The average (arithmetic mean) of 4 different positive integers is 125 and the largest of these integers is 150, what is the least possible value of the smallest of the 4 integers?

2 / 15

*Category:* **Quant Sub-600 Data Sufficiency**

## If *x* is an integer, is *x* even?

#### (1) 11/*x *is an integer

#### (2) 22/*x* is an integer

3 / 15

*Category:* **Quant Sub-600 Data Sufficiency**

## What is the value of integer *k*?

#### (1) *2*^{k}=1

^{k}=1

#### (2) *1*^{k}=1

^{k}

4 / 15

*Category:* **Quant Sub-600 Problem Solving**

## A casino has $10, $25, $50, and $100 chips. If a player wants to bet $165, what is the least number of chips he must use?

5 / 15

*Category:* **Quant 600-700 Data Sufficiency**

## Is *x<y*?

#### (1) *x>y²*

#### (2) *x* and* y *are positive integers

6 / 15

*Category:* **Quant 600-700 Data Sufficiency**

## Last year, if Kate spent a total of $720 on newspapers, magazines, and books, what amount did she spend on newspapers?

#### (1) Last year, the amount that Kate spent on magazines was 80 percent of the amount that she spent on books.

(2) Last year, the amount that Kate spent on newspapers was 60 percent of the total amount that she spent on magazines and books.

7 / 15

*Category:* **Quant Sub-600 Problem Solving**

## There are 6 cards numbered from 1 to 6. They are placed into a box, and then one is drawn and put back and then another card is drawn and put back. What is the probability that the sum of the two cards will be 8?

8 / 15

*Category:* **Quant Sub-600 Data Sufficiency**

## If two lines have slopes *m* and *n*, respectively, are they perpendicular?

#### (1) *m∗n=−1*

#### (2) *m=−n*

9 / 15

*Category:* **Quant Sub-600 Problem Solving**

## What number between 1 and 10 yields the same result when divided by 5 and when reduced by 5?

10 / 15

*Category:* **Quant 600-700 Data Sufficiency**

## If *n* is a positive integer, is *n*^{x} an even number?

^{x}

#### (1) *n* is an even number

#### (2) *x²-3x+2=0*

11 / 15

*Category:* **Quant Sub-600 Problem Solving**

## If *n=15!+13*, which of the following is a divisor of *n*?

12 / 15

*Category:* **Quant Sub-600 Problem Solving**

## How many distinct roots does the equation *x*^{4}-2x^{2}+1=0 have?

^{4}-2x

^{2}+1=0

13 / 15

*Category:* **Quant 600-700 Data Sufficiency**

## Is the product of three integers *p, q* and *r* even?

#### (1) *(p-1)(r+1)* is odd

#### (2) *(q-r)²* is odd

14 / 15

*Category:* **Quant Sub-600 Data Sufficiency**

## What is the value of *p+q*?

#### (1) |*p*|=-|*q*|

#### (2) *p*=*q*

15 / 15

*Category:* **Quant 600-700 Problem Solving**

## This year, the sum of ages of the Millers family members is 78. Currently, there are 4 members: husband, wife, daughter, and son. The husband is 4 years older than the wife. The daughter is two years older than the son. If the husband is 7 times as old as the son, how old is the daughter?

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