Pre-Employment Assessment Test

What is the next number in the sequence: 24, 12, 6, 3...?

1.5 The next number is found by dividing each number by 2.

What is the next number in the sequence: 9, 3, 1, 1/3,...?

1/9

If one serving of cookie dough makes 4 cookies, how many cookies can be made with 7 servings of cookie dough?

28

A gallon of gas costs $3.80. How many gallons of gas can be purchased with $19? A) 5 B) 6 C) 3 D) 4

A) 5 19/3.80=5

6:18:4:? A. 2 B. 6 C. 8 D. 16

C Explanation: 6/18 = 4/x 6/18 = (2*/(2*3^ 4/x = (2*/(2*2^ x = 8

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B. A. 2 : 1 B. 1 : 2 C. 1 : 1 D. 4 : 3

D Explanation : 5% of A + 4% of B = 2/3 (6% of A + 8% of B) 5A + 4B = 2/3 (6A + 8B) 100 100 100 100 ⇒ 5A + 4B = 2/3 (6A + 8B) ⇒ 15A + 12B = 12A + 16B ⇒ 3A = 4B ⇒ AB = 4 3 ⇒ A : B = 4 : 3

1⁄5 + 1⁄9 = A) 3⁄5 B) 14⁄45 C) 7⁄27 D) 1⁄

Find the common denominator - 45 B) 14⁄45 Formula: 1/5= 9/45 equals 14/45 1/9= 5/45

Now, it's twice as long since noon as it was two hours ago. What time is it now?

It would be 4:00 pm. Twice as long as it was two hours ago, and since it is from noon, this means that two hours ago it was 2:00pm twice as long since noon means to add another 2 hours which means that twice that is 4:00pm.

Arnold is about to go on a 500-mile car trip. His mechanic recommends that he buy a special highway engine oil that will save him 50 cents in gas for every 25 miles of the trip. This new oil, however, will cost $20. Is it worthwhile for Arnold to buy the oil if he has a coupon for $4 dollars off the price?

No Arnold will only save $10 by using the oil (.5 x (500 / 25)), and this is still $6 less than the cost of the oil.

What is the average of all the integers from 17 to 55?

Since the numbers are evenly spaced (differ by 1), the middle number will be the average. To find the middle number, take the average of the first and last numbers. (17 + 55) / 2 = 72/2 = 36 Answer: 36 is the middle number and the average.

Ben's weekly parking fee for the first week in June was $26; for the second week it was $8 more than the first week and for the third week $16 less than the second week. What was his average parking fee for these three weeks? Enter a numerical value only.

$26 1st week = $26 2nd week = $26 + $8 = $34 3rd week = $34 - $16 = $18 26 + 34 + 18 = 78 78 / 3 = 26

John is a mechanic. He makes $8.50 an hour, plus $3 extra for every oil change he performs. Last week he worked 36 hours and performed 17 oil changes. How much money did he make?

$357 John's base wage can be figured by multiplying his pay per hour by the number of hours he worked: $8.50 x 36 = 306. His bonus for oil changes is calculated by multiplying the payment per oil change by the number of oil changes performed: 17 x 3 = 51. These two products can then be added together.

In the following question find out the alternative which will replace the question mark. 4 : 19 :: 7 : ? A. 52 B. 49 C. 28 D. 68

A Explanation: As, (4)2 + 3 = 19 Similarly, (7)2 + 3 = 52

This year, 16 out of 800 employees who worked for Corporation Z received awards for their performance, which is _____ percentage of the employees. Choose one A) 3 B) 4 C) 8 D) 6 E) 2

E) 2 16 divide by 800 = 0.02 800-0.02%= 16

If you count 1 to 100, how many 5s will you pass on the way?

There are 20 numbers that contain 5 in it 5, 15, 25, 35, 45, 50, 51 to 59, 65, 75, 85, 95 (55 contains 2 five's) So the answer is 20 ...

Julie is a hair stylist. She makes $10.25 an hour, plus $6 extra for every haircut she performs. This week she worked a total of 40 hours and performed 46 haircuts. How much money did she make?

$686.05 10.25 x 40 = 410.05 46 x 6 = 276 410.05 +276 =686.06

Which of the following numbers represents the smallest amount: 0.400, 0.04, 4.0, 40?

0.04 Be sure to identify the position of the decimal point.

Which of the following numbers represents the smallest amount: 3.26, 0.54, 89.00,0.09?

0.09 It may be helpful to say the numbers out loud: "9 hundredths" is clearly smaller than "54 hundredths."

What is the next number in the sequence: 4, 11, 25, 53...? Enter a numerical value only.

109 multiply by 2 and add 3 53 + 53 = 106 + 3 = 109

A basketball player averaged 20 points a game over the course of six games. His scores in five of those games were 23, 18, 16, 24, and 27. How many points did he score in the sixth game?

12 points 1) A basketball player averaged 20 points a game over the course of six games. = 20 points x 6 games = 120 2) 23 + 18 + 16 + 24 + 27 = 108 3) 120 - 108 = 12 points

Jeff worked 44 hours two weeks ago, 34 hours last week, and 42 hours this week. How many hours did he work in total? Choose one 124 hours 122 hours 120 hours 118 hours

120 hours 44+34+42=120

A physical education class has three times as many girls as boys. During a class basketball game, the girls average 18 points each, and the class as a whole averages 17 points per person. How many points does each boy score on average?

14 Girls 3 times = 3g Boys average = ba 1) 18 x 3 = 54 2) (54g + ba) / 4g = 17 (average class score per person) 3) (54 + a) / 4 = 17 We can cancel g from numerator and denominator 4) 54 + a = (4 x 17) 5) 54 + a = 68 6) 68 - 54 = 14 7) 54 (girls) + 14 (boys) = 68

How many 2-1/4 meter lengths of tape can be cut from 36 meters of tape? A. 14-3/4 B. 16 C. 17 D. 15-1/4

16 2 1/4 = 9/4 divide 36 by 9/4 or multiply 36 by 4/9 36 X 4 = 144 1 X 9 = 9 144 /9 = 16

Considering the series below, what number should be next? 12, 24, 48, 96, __

192 pattern multiply by 2 96 x 2 = 192

Randolph has 8 ties, 6 pairs of pants, and 4 dress shirts. How many days could he possibly go without wearing the same combination of these three items?

192 days There are 48 different combinations of ties and shirts (8 different ties for each of the 6 pairs of pants), and then four different shirts for each of these combinations. In numerical form: 8 x 6 x 4 = 192.

A package of gift cards has a length of 8 inches, a width of 4 inches and a volume of 64 inches cubed. What is the height of the box?

2 inches. Volume of a rectangular object: length * width * height 64 = 8(4)(x) 64 = 32x 2 = x

A road construction crew is resurfacing the highway between point D and point E. The distance between point D and point E is 93 miles of road. The crew has completed 35 miles. If they work at a pace of 2.9 miles per day, how many more days will it take to finish? A. 54 B. 35 C. 20 D. 21

20 more days 93-35=58 58/2.9=20

A girl is 18 years old and her brother is a third her age. When the girl is 36, what will be the age of her brother?

24 Girl 18 - Boy 6 = 18-6 = 12 Girl 36 - Boy 24 = 36-12 = 24

What is the mathematical average of the number of feet in a yard, seconds in a minutes and months in a year? Enter a numerical value only

25 There are 3 feet in a yard. There are 60 seconds in a minute. There are 12 months in a year. Add those up and divide by 3 to get the average. (3 + 60 + 12) / 3 = 75/3 = 25

What is the average of all of the integers from 13 to 37?

25 This kind of problem can be easily solved by simply finding the average of the two extremes in the range: (13 + 37) / 2 = 25.

A shopkeeper will earn 12% profit on an item after giving 20% discount to the customer. By what percentage should the market price price be increased to get to label price?

40% In Profit and Loss problems always assume some values. Its the fastest way to solve problems. In problems having marked price, assume cost price to be 100. CP = 100. There is a gain of 19 %. So, selling price would be 119 SP = 119. There is 15 % discount on marked price. So 119 is actually 85 % of the marked price. To get marked price -> 119 -> 85 ? -> 100 Cross multiply. =(119 * 100)/85 = (119 * 20)/17 = 7 * 20 = 140 MP = 140 Above cost price = 140 -100 = 40

Which number is larger: .5, 5, 30, 400? Enter a numerical value only.

400

Which number is larger: .5, 5, 30, 400?

400 .5 tenths 5. ten-whole number 30. hundred-whole number 400. thousand-whole number

Michael threw for 1,654 yards in his first five games. At this rate, how many yards will he have thrown for in fifteen games? A. 4,692 B. 6,294 C. 4,962 D. 4,296

4962 1654 / 5 = 330.8 330.8 * 15 = 4962

If three inches of rope cost 7 cents, how much would 2 feet of rope cost?

56 cents. First, divide the number of inches in 2 feet (24) by 3;then, multiply this number (8) by the price of 3 inches of rope: 8 x 7 = 56

Which of the following numbers represents the greatest amount: 6, 6.0, 0.600, 60?

60 Be sure to identify the position of the decimal point.

Which of the following numbers represents the smallest amount: 3899, 629, 89001, 9867?

629 Make sure to note the number of place values rather than simply looking at the value of the first digit in the number.

What is the next number in the sequence: 5, 9, 17,33,...?

65 The next number is found by multiplying the number by 2 and then subtracting one from the product.

Charlie has 4 pairs of shoes, 12 shirts, 5 pairs of pants, and 3 watches. How many days could he go without wearing the same combination of these four items? A. 716 B. 742 C. 680 D. 720

720

What is the next number in the sequence: 3, 8, 18, 38...?

78. The next number is taken by adding one to each number and then multiplying this sum by 2.

What is the next number in the sequence: 5, 10, 20, 40,...?

80 The next number is found by multiplying the previous number by 2.

A box of staples has a length of 6 cm, a width of 7 cm, and a volume of 378 cm cubed. What is the height of the box?

9 cm volume / (width * length) = height Volume is calculated as the product of length, width, and height, so if height is set as Y: 6 x 7 x Y = 378. This can be rearranged to 378 / 42 = Y = 9.

There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively? A. 1/32 B. 11/32 C. 1/16 D. 11/16

A Explanation: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

In a soap company a soap is manufactured with 11 parts. For making one soap you will get 1 part as scrap. At the end of the day u have 251 such scraps. From that how many soaps can be manufactured? A. 25 B. 22 C. 28 D. 30

A Explanation: 251 scraps will be used to make 22 soaps with remaining 9 scraps. again the 22 soaps will produce 22 scraps. so 22+9=31 scraps which makes 2 soaps with remaining 9 scraps. Again the 2 soaps will produce 2 scraps. => we have 11 scraps which can be used to make 1 soap with 1 scrap as remaining. Therefore totally,22+2+1=25 soaps. ShortCut By :: Susmito Bhattacharyya simply the resultant number of sscraps needed to make one soap is = 10 scraps so the answer = quotient of (251/10) = 25

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? A. 10/21 B. 11/21 C. 2/7 D. 5/7

A Explanation: Answer: 10/21 Solution: 2 red, 3 green, and 2 blue balls are there. So the probability of getting no blue ball is not selecting any blue ball among the two chosen balls hence 5C2. 5C2/7C2 = 10/21. 7C2 because we can select any 2 balls from 7 balls in that number of ways.

There is a lot of speculation that the economy of a country depends on how fast people spend their money in addition to how much they save. Auggie was very curious to test this theory.Auggie spent all of his money in 5 stores. In each store, he spent Rs.4 more than one-half of what he had when he went in. How many rupees did Auggie have when he entered the first store? A. 248 B. 120 C. 252 D. 250

A Explanation: As he has spent all his money, He must spend Rs.8 in the final store. a simple equation works like this. Amount left = 1/2 x?4 For fifth store this is zero. So x = 8. That means he entered fifth store with 8. Now for fourth store, amount left = 8 so 1/2 x?4=8=> x = 24 For third store, amount left = 24 so 1/2 x?4=24=> x = 56 For Second store, amount left = 56 so 1/2 x?4=56=> x = 120 For first store, amount left = 120 so 1/2 x?4=120=> x = 248 So he entered first store with 248.

Below is a pseudo code Read x While(x < 60) write x x = x*3 The last number in the sequence is 54, what has the user entered as the initial value of x A. 2 B. 5 C. 3 D. 4

A Explanation: Given Last value int seq. = 54. and in every Loop result multiplied By 3. So By Backward Approach 54/3=18 => 18/3=6 => 6/3=2. So, The Starting Value Is 2

If a man ate 100 grapes in 5 days, each day eating 6 more than the previous day, how many grapes did he eat on the first day? A. Eight B. Five C. Ten D. Twelve

A Explanation: x (x 6) (x 12) (x 18) (x 24)=100 x=8

A corporation budgeted $6,735 to be spent within the sales department. So far, the department has spent $1,355.55 of the budget. How much money is left in the budget? Choose one A) $5,379.45 B) $5,379.55 C) $8,090.55 E) $5,739.45

A) $5,379.45 6735-1355.55= 5,379.45

18/7 is equal to A) 2 4⁄7 B) 1 8⁄7 C) 1 3⁄7 D) 2 1⁄7

A) 2 4/7 How many times does 7 fit into 18= 2 whole numbers. The remainder is 4. The reminder is 4 2 4/7 In mixed number fractions, 18/7 = 2 with remainder 4 = 2 4/7 In decimal numbers, 18/7 cannot be expressed with a finite number of digits but it's approximately equal to 2.57142857142857142857142857142857...

253 ÷ 46 = A) 5.50 B) 4.50 C) 5.75 D) 5.25

A) 5.50 46 * 5 = 230 253 - 230 = 23 add 0 and decimal point 46 * 5 = 230 no remainder 5.5

Taylor is going on a road trip that is 600 miles long. Her friend recommends that she buy engine oil A because it will save her 60 cents in gas for every 20 miles of the trip. Oil A, however, will cost $35. Is it worthwhile for Taylor to buy the oil if she has a coupon for $10 off the price? A) No B) Yes

A) No No. Taylor will only save $10 by using the oil (.6 x (600 / 20)), and this is still $7 less than the cost of the oil. $0.60 cents x 600 miles = $360 divide 20 miles = $18 Cost of Oil A $35 - Coupon $10 = $25 $25 - $18 = $7

Four individuals form a business and create a contract to divide the profits equally among the four. Gary invests $11,000, Neil invests $4,000, Jill invests $5,000, and Steve invests $8,000. The profits at the end of the year are $5,600. How much less does Gary receive than if the profits were divided in relation to the amount invested by each owner? A) $800 B) $1,400 C) $2,200 D) $1,000

All combined are 28000. Divide Each one of their contributions by 28000, the decimal will be the % each gave. For example 11000÷28000= .39(39%) Multiple 5600 by .39 Gary gets $2,200, Neil gets $800 etc etc. Pretty crappy investment if you ask me.

A 5-foot tall women is standing near a flag pole which casts a shadow of 21 feet on level ground. If the women's shadow is 3 feet long, how tall is the flag pole? (Enter numerical value only)

Answer 35 feet Person = 5 Person shadow = 3 Flagpole shadow = 21 5 * 21 = 105 105 / 3 = 35

Two women start at the same point. They walk in opposite directions for 3 meters, then turn right and walk another 4 meters. How far apart are they? A. 7 B. 10 C. 12 D. 15 E. 21

Answer is 10 3x3 = 9 4 x 4 = 16 9+16 = 25 square root 25 / 2 = 5 since there is two people 5 * 2 = 10

A call center agent has a list of 305 phone nos of people in alphabetic order of names (but she does not have any of the names). she needs to quickly contacts deepak sharma to convey a message to him.If each call takes 2 minutes to complete, and every call is answered, what is the minimum amount of time in which she can guarantee to deliver the message to Mr.Sharma. A. 20 B. 18 C. 10 D. 15

B Explanation: 305/2=152 152/2=71 71/2=35 35/2=17 17/2=8 8/2=4 4/2=2 2/2=0 we get 0 after 9 times. ans=9*2=18

In the following question find out the alternative which will replace the question mark. 16 : 56 :: 32 : ? A. 96 B. 112 C. 120 D. 128

B Explanation: As, 16:56 = (2/7) Similarly, 32:112:(2/7).

A workman starts his work on Monday works for 8 days and takes every 9th day as his holiday. His 12th holiday will fall on? A. Monday B. Wednesday C. Thursday D. Tuesday

B Explanation: From day 1 to 9 is considered as one cycle 12th holiday is 12*9=108 excluding starting day monday it is 107days. 107 has 2 odd number is 1,7 So, Monday + 2days(2 odd no)=wednesday

Anand packs 304 marbles into packets of 9 or 11 so that no marble is left. Anand wants to maximize the number of bags with 9 marbles. How many bags does he need if there should be atleast one bag with 11 marbles A. 33 B. 32 C. 31 D. 30

B Explanation: Given 9x + 11y = 304. x = (304?11y)/9 = 33 + (7?2y)/9 + y So y = - 1 satisfies. Now x = 35, Now other solutions of this equation will be like this. Increase or decrease x by 11, decrease or increase y by 9. So we have to maximize x. next solution is x = 24 and y = 8. So bags required are 32.

The following question, consist of two words each that have a certain relationship to each other, followed by four lettered pairs of words. Select the lettered pair that has the same relationship as the original pair of words.Quesstion: Plants : Coal A. Crops : Manure B. Animals : Oil C. Cow: Milk D. Fire : Smoke

B Explanation: Here is no explanation for this answer

The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries? A. 3 : 3 : 10 B. 10 : 11 : 20 C. 23 : 33 : 60 D. Cannot be determined

C Explanation: Let A = 2k, B = 3k and C = 5k. A's new salary = 115 of 2k = 115 x 2k = 23k 100 100 10 B's new salary = 110 of 3k = 110 x 3k = 33k 100 100 10 C's new salary = 120 of 5k = 120 x 5k = 6k 100 100 New ratio 23k : 33k : 6k = 23 : 33 : 60 10 10

A, B, C and D go for a picnic. When A stands on a weighing machine, B also climbs on, and the weight shown was 132 kg. When B stands, C also climbs on, and the machine shows 130 kg. Similarly the weight of C and D is found as 102 kg and that of B and D is 116 kg. What is D's weight A. 58kg B. 78 kg C. 44 kg D. None of these

C Explanation: A+B=132 B+C=130 C+D=102 B+D=116 A+2B+C=262 B+C+2D=218 A+B-2D=44 132-2D=44 D=44

A boy buys 18 sharpeners (brown or white) for Rs. 100. For every white sharpener, he pays one rupee more than the brown sharpener. What is the cost of white sharpener & how much did he buy? A. 5, 13 B. 5, 10 C. 6, 10 D. None of these

C Explanation: Assume that he bought b, brown sharpeners and w, white sharpeners and the cost of brown sharpener is x and white sharpener is x + 1 So w(x+1) + bx = 100 w + b = 18 b = 18 - w Substituting in equation 1, we get w(x+1) + (18 -w)x = 100 so w + 18 x = 100 Take option 1: If white sharpners are 13, x = (100 - 13) /18 = 4.833 Option 2, If white sharpeners are 10, x = (100 - 10)/18 = 5 So white sharpeners cost is 6. Option 3 Satisfies this condition.

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize? A. 1/10 B. 2/5 C. 2/7 D. 5/7

C Explanation: P (getting a prize) = 10/(10 + 25) => 10/35 = 2/7

Every day a cyclist meets a train at a particular crossing. The road is straight before the crossing and both are traveling in the same direction. The cyclist travels with a speed of 10 Kmph. One day the cyclist comes late by 25 min. and meets the train 5km before the crossing. What is the speed of the train? A. 66 kmph. B. 40 kmph. C. 60 kmph. D. 76 kmph.

C Explanation: Speed of the train = 60km/hr. Speed of Cyclist travel = 10km/hr. It means, Cyclist travels 5km in 30minutes. If Cyclist comes late by 25 min and meets the train 5km before the crossing means, it shows Train can travel 5Kms in 5minutes. So, speed of train is (5 km/5min) = 1 km/1min = 60km per hour.

In the following question find out the alternative which will replace the question mark. 24 : 60 :: 120 : ? A. 160 B. 220 C. 300 D. 108

C Explanation:As 24:60 = (2/5)Similarly, (120/300) = (2/5).

Notebooks sell for 33 cents per unit. How much will 5 notebooks cost? A) $1.55 B) $1.35 C) $1.65 D) $1.60

C $1.65 33 * 5 = 165

The 4:25 bus to the metro airport has a travel time of 1 hour and 45 minutes. The bus is running late today though. What will be the arrival time to the airport? A) 5:25 B) 5:45 C) 7:35 D) 6:05

C 7:35 The bus is late? The only time that makes sense is C, 7:35. Why? Because, late or not, an hour and 45 minutes past 4:25 is 6:10, later than any of the other answers 4:25 + 1:45 = 6:05 normal schedule

Janine's shoes cost $44.50, her pants cost $20.80 and her t-shirt cost $14.95. What is the total of her purchases? A) $80.52 B) $82.25 C) $80.25 D) $85.20

C) $80.25 44.50 20.80 14.95 + ---------- 80.25

A bike travels 7 feet in 1/3 of a second. At the same speed, how many feet will it travel in 5 seconds? A) 35 feet B) 155 feet C) 105 feet D) 21 feet

C) 105 Feet 7 feet ----------- = 7 * 3/1 = 21 feet per second 1/3 sec. The distance traveled in 5 seconds is (5 seconds) * (21 feet/second) = 105

Chain sells for $1.50 per foot. How many feet of chain can you buy for $18? A) 24 feet B) 15 feet C) 12 feet

C) 12 feet 18/1.50=12

A Shopkeeper divides an ice-cream brick in two halves, then cut one of the halves into several smaller portions of equal size. Each of the smaller portions weights 12 grams. The shopkeeper now has a total of 5 portions. How heavy was the original brick? A. 8 grams B. 48 grams C. 60 grams D. 96 grams E. 120 grams

D Explanation: As per the question There are 5 portions ( 4 small portions of equal size of one half and one half of original ice-cream brick.) 1 small portion = 12 grams 4 small portion = 4*12 = 48grams Therefore weight of original ice-cream brick = 48*2 = 96 grams

A family I know has several children. Each boy in this family has as many sisters as brothers but each girl has twice as many brothers as sisters. How many brothers and sisters are there? A. 5 boys and 3 girls. B. 3 boys and 4 girls. C. 4 boys and 4 girls. D. 4 boys and 3 girls.

D Explanation: Lets assume no. of girls = x and boys = y y = (x+1) ----------- (i) As each boy have equal no. of sisters and brothers and he is not included in brothers. so, 1 is for him in (x+1). y = 2(x-1) ------ (ii) as each girl have (x-1) sisters. By solving eq. (i) and(ii) girls = 3 and boys = 4

In a bus left side are 15 seats available, 3 few seats in right side because in rear exit door. Each seat hold 3 people.In addition, there is a seat back can sit 7 people all together. How many people can sit in a bus? A. 52 B. 49 C. 95 D. 88

D Explanation: Right Side =15 seat Left Side =15-3 (3 few seat in right side)= 12 seat Total= 15+12= 27 People can seat in 27 seat= 27*3=81 People can seat in Last Seat = 7 Total People can seat= 81+7=88

Which of the following values is NOT equal to 11(7-1)? Choose one A) (6+5)6 B) 6 x 7 + 8 x 3 C) 1084 - 1018 D) 3 x 22 E) 5 + 1(22-10)

E) 5 + 1 (22-10) 7-1 = 6 11 * 6 = 66 A) 6+5 = 11 * 6 = 66 B) 6*7 = 42 + 8*3 = 24 42+24 = 66 C) 1084 - 1018 = 66 D) 3 * 22 = 66 E) 22-10 = 12 * (5+1= 6) 12 * 6 = 72

Which number represents the smallest amount? A) .77 B) 1/7 C) 7 D) 17 E) .17 F) .07

F) .07 .77 hundredths 1/7= 14 2/7 = 14 hundred. 27 hundredths 7 tens= whole number 17 hundred .17 hundredths .07 hundredths

A dance studio wants to use square mirror tiles to cover two walls in their studio that measure 2 feet by 2 feet. Each wall measures 9 feet by 22 feet. The studio instructor has requested that a 1 foot gap be left between the floor and the start of the mirrors. How many mirror tiles are needed to cover both walls? A. 44 B. 176 C. 88 D. 99

Size of each tiles = (2*2) square inch = 4 square inch Since 1 inch gap needs to be kept with the floor, so the height of floor that needs to be covered with square mirror tiles is 8 inch. Size of each wall = (8*22) square inch = 176 square inch So the number of mirror tiles required per wall = 176/4 tiles = 44 tiles Number of tiles required to cover both walls = (44*2) tiles = 88 tiles.

A science class has two times as many boys as girls. During the final examination of the year, the girls average 90 points each, and the class as a whole averages 80 points per person. What is the average score of the boys in the class? A) 75 B) 80 C) 70 D) 85

n = total students b = no of boys g = no of girls s = boys average score b + g = n Since two times as many boys 2g + g = n 3g = n 80n = 90g + s*b Substitute 3g for n and 2g for b 80(3g) = 90g + s(2g) 240g = 90g + (2s)g 240g = (90 + 2s)g divide each side by g 240 = 90 + 2s subtract 90 from each side 150 = 2s divide each side by 2 75 = s The average boy score is 75