## Search found 2155 matches

#### If the line segment $$AB$$ is one of the sides of a regular polygon inscribed in the given circle with center $$O,$$ how

##### If the line segment $$AB$$ is one of the sides of a regular polygon inscribed in the given circle with center $$O,$$ how If the line segment $$AB$$ is one of the sides of a regular polygon inscribed in the given circle with center $$O,$$ how many sides does this polygon have?

1. $$\alpha = 30^{\circ}$$
2. The circumference of the circle is $$4\pi$$

OA A

#### In the rectangular solid above, if $$AB=5,$$ what is the surface area of the solid?

##### In the rectangular solid above, if $$AB=5,$$ what is the surface area of the solid? In the rectangular solid above, if $$AB=5,$$ what is the surface area of the solid?

1. $$BC=8$$
2. The volume of the solid is $$80$$

OA C

#### Arjum and Bhim can run a full round around a circular track in $$4$$ minutes and $$7$$ minutes respectively. If they

##### Arjum and Bhim can run a full round around a circular track in $$4$$ minutes and $$7$$ minutes respectively. If they

Arjum and Bhim can run a full round around a circular track in $$4$$ minutes and $$7$$ minutes respectively. If they start simultaneously, after how much time will they meet together at a point diametrically opposite from the starting point? A. $$3$$ mins B. $$5.5$$ mins C. $$11$$ mins D. $$28$$ min...

#### The boy ans girls in a college are in the ratio $$3:2$$. If $$20\%$$ of the boys and $$25\%$$ of the girls are adults,

##### The boy ans girls in a college are in the ratio $$3:2$$. If $$20\%$$ of the boys and $$25\%$$ of the girls are adults,

The boy ans girls in a college are in the ratio $$3:2$$. If $$20\%$$ of the boys and $$25\%$$ of the girls are adults, the percentage of the students who are not adults?

A) $$52$$
B) $$58$$
C) $$78$$
D) $$40$$
E) $$60$$

OA C

#### The teachers’ colony has $$2800$$ members, out of which $$650$$ members read only English newspaper. $$550$$ members

##### The teachers’ colony has $$2800$$ members, out of which $$650$$ members read only English newspaper. $$550$$ members

The teachers’ colony has $$2800$$ members, out of which $$650$$ members read only English newspaper. $$550$$ members read only Hindi newspaper and $$450$$ members read only Marathi newspaper. The number of members reading all the $$3$$ newspapers is $$100$$. Members reading Hindi as well as English ...

#### A survey was made of $$100$$ students who study German, French and Japanese. How many students study both German and

##### A survey was made of $$100$$ students who study German, French and Japanese. How many students study both German and

A survey was made of $$100$$ students who study German, French and Japanese. How many students study both German and French but not Japanese?

1) $$51$$ students study German, while $$31$$ students study German but not French
2) $$9$$ students study German, French and Japanese

OA C

#### A survey of $$1.2$$ million homes reported that $$650,000$$ had fewer than $$2$$ children. In homes with $$2$$ or more

##### A survey of $$1.2$$ million homes reported that $$650,000$$ had fewer than $$2$$ children. In homes with $$2$$ or more

A survey of $$1.2$$ million homes reported that $$650,000$$ had fewer than $$2$$ children. In homes with $$2$$ or more children, $$280,000$$ of them did not have a separate bedroom for each child. If $$400,000$$ homes in the survey had a separate bedroom for each child, what percent of the homes wit...

#### Eight times one-third of a number is one greater than five times one half of that number. What is that number?

##### Eight times one-third of a number is one greater than five times one half of that number. What is that number?

Eight times one-third of a number is one greater than five times one half of that number. What is that number?

A. $$3$$
B. $$6$$
C. $$8$$
D. $$9$$
E. $$12$$

OA B

#### For each home sold in County $$X$$, the buyer and the seller each must pay to County $$X$$ a tax of $$0.5$$ percent of

##### For each home sold in County $$X$$, the buyer and the seller each must pay to County $$X$$ a tax of $$0.5$$ percent of

For each home sold in County $$X$$, the buyer and the seller each must pay to County $$X$$ a tax of $$0.5$$ percent of the sale price of the home. Colleen recently sold her old home and bought a new home, both in County $$X$$. What was the total tax that Colleen paid to County $$X$$ on these home sa...

#### $$a$$ and $$b$$ represent digits in the correctly-worked addition operation above. What is the value of $$a?$$

##### $$a$$ and $$b$$ represent digits in the correctly-worked addition operation above. What is the value of $$a?$$

$$\begin{array}{c} \phantom{+}\, 1ab \\ + \, ba1 \\ \hline \phantom{+} \, 746 \end{array}$$

$$a$$ and $$b$$ represent digits in the correctly-worked addition operation above. What is the value of $$a?$$

A. $$2$$
B. $$3$$
C. $$4$$
D. $$6$$
E. $$7$$

OA E

#### If $$x$$ is the median of three consecutive integers, what is the product of these three integers in terms of $$x?$$

##### If $$x$$ is the median of three consecutive integers, what is the product of these three integers in terms of $$x?$$

If $$x$$ is the median of three consecutive integers, what is the product of these three integers in terms of $$x?$$

A. $$x^3+6x^2+8x$$
B. $$x^3-3x^2+2x$$
C. $$x^3-3x^2-2x$$
D. $$x^3-x^2$$
E. $$x^3-x$$

OA E

#### $$30\% \sim 35\%$$ of the employees in a certain company have cell phones. Do at least half of the employees in the

##### $$30\% \sim 35\%$$ of the employees in a certain company have cell phones. Do at least half of the employees in the

$$30\% \sim 35\%$$ of the employees in a certain company have cell phones. Do at least half of the employees in the company with cell phones own their houses? 1. $$70\% \sim 75\%$$ of the employees in the company own their houses 2. $$40\% \sim 45\%$$ of the employees in the company with their house...

#### The county-mandated guidelines at a certain community college specify that for the introductory English class, the

##### The county-mandated guidelines at a certain community college specify that for the introductory English class, the

The county-mandated guidelines at a certain community college specify that for the introductory English class, the professor may choose one of three specified novels, and choose two from a list of $$5$$ specified plays. Thus, the reading list for this introductory class is guaranteed to have one nov...

#### If $$a$$ and $$b$$ are integers such that $$a+b=5$$, which of the following is true?

##### If $$a$$ and $$b$$ are integers such that $$a+b=5$$, which of the following is true?

If $$a$$ and $$b$$ are integers such that $$a + b = 5$$, which of the following is true?

I. The product of $$a$$ and $$b$$ is odd.
II. If $$a$$ is odd, $$b$$ is even.
III. If $$a$$ is negative, $$b$$ is positive.

A. I only
B. II only
C. I and II
D. II and III
E. I, II and III

OA D

#### In how many ways can a group of $$3$$ people be selected out of $$5$$ men and $$7$$ women, so that $$2$$ of them are of

##### In how many ways can a group of $$3$$ people be selected out of $$5$$ men and $$7$$ women, so that $$2$$ of them are of

In how many ways can a group of $$3$$ people be selected out of $$5$$ men and $$7$$ women, so that $$2$$ of them are of the same gender?

A) $$96$$
B) $$125$$
C) $$155$$
D) $$175$$
E) $$225$$

OA D