MU-NLPC/Calc-aqua_rat huggingface dataset:
What is the largest integer n such that 2^n is a factor of 20^8 ? Pick.
A) 1
B) 2
C) 4
D) 8
E) 16

Solution: 20^8=(2^2∗5)^8=2^16 5^8 Therefore the largest integer n such that 2^n is a factor of 2^165^8 is 16.   Answer: 16.
Answer: E
The difference between a number and its two-fifth is 510. What is 30% of that number?
Choose the correct choice from the following answers:
A) 158  B) 200  C) 255  D) 400  E) 280

Solution: Let the number be x. Then,   x - 2/5 x = 510   x = (510 * 5)/3= 
(510 * 5)/3 = 850
850   10% of 850= 255.   Answer:255
Answer: C
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?  Choose the correct choice from the following choices:
A) 28888 B) 38000 C) 28880 D) 27752 E) 11222

Solution: CP + CP/8 = 45000   CP = 40000   SP = 40000*(95/100)= 
40000*(95/100) = 38_000
38000   Answer: 38000
Answer: B
How many arrangements of the letters of the word GRADES can be made, without changing the place of the vowels in the word? Select.
A) 36 B) 25 C) 45 D) 66 E) 24

Solution: A,E fixed. Consonants can be arrangements in 4P4 = 4! = 24 ways   Option '24'
Answer: E
The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places? Choices:	A) Rs.20043.94	B) Rs.20043.99	C) Rs.20043.95	D) Rs.20043.98	E) Rs.20043.91

Solution: Let the rate of interest be R% p.a.   (49500)(3)(R)/100 = 17820   495R = 5940   R = 12   CI on Rs.49500 at 12% p.a. for three years   = 49500{[1 + 12/100]3 - 1} = 69543.936 - 49500 = Rs.20043.94   when rounded off to two decimal places.   Rs.20043.94nswer:Rs.20043.94
Answer: A
How many zeros does 500! end with? Choose one
A) 201	B) 240	C) 124	D) 125	E) 180

Solution: According to above 500! has 500/5+500/25+500/125=100+20+4= 
100+20+4 = 124
124 trailing zeros.   Answer: 124.
Answer: C
If the sides of a triangle are 36 cm, 34 cm and 20 cm, what is its area? Choose the most appropriate option
A) 320 cm2
B) 360 cm2
C) 340 cm2
D) 310 cm2
E) 300 cm2

Solution: The triangle with sides 36 cm, 34 cm and 20 cm is right angled, where the hypotenuse is 36 cm.   Area of the triangle   = 1/2 * 34 * 20= 
1/2 * 34 * 20 = 340
340 cm2   Answer: 340 cm2
Answer: C
Sachin can cover a distance in 1hr 24 min by covering 2/3 of the distance at 4 kmph and the rest at 5 kmph. The total distance is?
Choose the correct choice from the following answers:
A) 8 km
B) 7 km
C) 5 km
D) 6 km
E) 4 km

Solution: dist travelled at 4 kmph speed = 2/3   dist at 5 kmph speed = (1-2/3)d=(1/3)d   tot time = 1 hr 24 min =(64+24) min=84/60hr=>21/15 hr   time = dist/speed   21/15=2/3/4d+1/3/5d   d=6 km   ANSWER 6 km
Answer: D
The length of the bridge, which a train 170 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Choose the correct option
A) 388
B) 267
C) 205
D) 288
E) 261

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (170 + X)/30 = 25/2 ==> 2(170 + X) = 750 ==> X = 205 m.   Answer: 205
Answer: C
The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 3 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers? Select:
A) 2/3 B) 1/3 C) 2/9 D) 1/12 E) 1/24

Solution: Probability of first member an English teacher = 3/10   Probability of second member an English teacher = 2/10   Probability of both being english teacher = 3/9 x 2/8 =3/5(1/12)
Answer: D
An object travels at fifteen feet per minute. How many feet does it travel in 24 minutes and 40 seconds?	Pick one:  A) 220  B) 156  C) 370  D) 420  E) 519

Solution: Convert speed from feet/minute into feet/seconds.   15 feet / mn = 15 feet / 60 sec   In 24 minutes 40 seconds, there are    24*60 + 40= 
 24*60 + 40 = 1_480
1480 seconds   We now multiply speed by time to find distance   1480*15/60= 
1480*15/60 = 370
370 feet   correct answer 370
Answer: C
What is the are of an equilateral triangle of side 16 cm?  Choose the correct choice from the following choices:
A) 64√3
B) 64√5
C) 64√9
D) 64√2
E) 64√1

Solution: 64√3rea of an equilateral triangle = √3/4 S2   If S = 16, 64√3rea of triangle = √3/4 * 16 * 16   = 64√3 cm2;   64√3nswer:64√3
Answer: A
The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
Choose the correct choice from the following choices
A) 5  B) 4  C) 7  D) 1  E) 2

Solution: P(1 + 20/100)n > 2P or (6/5)n > 2   Now, (6/5 * 6/5 * 6/5 * 6/5) > 2. So, n   = 4 years.   Answer:4
Answer: B
Given that there are 11 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 7 players can be selected from each team?	Pick one:
A) 108900 B) 457845 C) 145256 D) 356586 E) 213444

Solution: Now from each group we have to select 5 persons only: 11C7 * 11C7= 330 * 330= 
330 * 330 = 108_900
108900   Total ways=108900 ways.   108900nswer 108900
Answer: A
A, B and C can do a work in 8 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Choose one: A) 3 B) 2 2/8 C) 2 2/0 D) 2 2/2 E) 2 2/1

Solution: Work done by all three of them in one day = 1/8 + 1/8 + 1/12 = 1/3   The number of days required = 3 days.   3nswer:3
Answer: A
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Pick one:
A) 22 1/9
B) 22 1/7
C) 22 1/1
D) 22 1/2
E) 32 1/2

Solution: 100 --- 10 22 1/2S = 10   ? ---- 1   75 ---- 15 US = 5   ? ----- 1 S = (10 - 5)/2   = 22 1/2 kmph.Answer:22 1/2
Answer: D
Two stations A and B are 110 km apart on a straight line. One train starts from A at 2 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?	Choose the correct choice from the following choices
A) 15 a.m  B) 10 a.m  C) 12 a.m  D) 02 a.m  E) 05 a.m

Solution: Suppose they meet x hours after 2 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   Therefore 20x + 25(x - 1) = 110   45x = 135   x = 3.   So, they meet at 5 a.m.   Answer:05 a.m
Answer: E
If the average (arithmetic mean) of five consecutive negative integers is 4k – 1, what is the difference between the greatest and least of the five integers?
Options
A) 4K	B) 4k^2 -4k	C) 4-4k	D) 4	E) 4k+4

Solution: (n-2 + n - 1 + n + n + 1 + n + 2)/5 = 4k - 1   => n = 20k - 5   Greatest = n + 2 = 20k - 5 + 2 = 20k - 3   Least = n - 2 = 20k - 5 - 2   => 4ifference = 20k - 3 - (20k - 7)   = 4   Answer - 420  - 3 - (20  - 7)= 
20  - 3 - (20  - 7) = 4
4   Answer - 4
Answer: D
How long does a train 120 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?  Choose the correct choice from the following answers:  A) 33  B) 72  C) 52  D) 82  E) 62

Solution: Explanation:   T = (660 + 120)/54 * 18/5= 
(660 + 120)/54 * 18/5 = 52
52   Answer: Option 52
Answer: C
There are a total of 10 students in Mr. Schmidt's gym class. Over the course of a badminton unit, each of the 10 students will compete exactly once against every other student in the class. How many total games of badminton will be played?	Pick:  A) 48  B) 47  C) 45  D) 41  E) 46

Solution: there are 10 students , if each play with all other members .   then total games can be calculated as 9+8....+1 = 45.   alternate approach is to choose 2 distinct out of 10 = 10c2 = 45   Answer is 45.
Answer: C
What is x if x + 5y = 24 and y = 2?  Pick.
A) 1 B) 3 C) 5 D) 7 E) 14

Solution: Substitute y by 2 in x + 5y = 24   x + 5(2) = 24   x + 10 = 24   If we substitute x by 14 in x + 10 = 24, we have 14 + 10= 
14 + 10 = 24
24. Hence   x= 14 correct answer 14
Answer: E
In a race of 400 m, A can beat B by 40 m and C by 20 m. In how many meter race, C will beat B by 50m ?
Choose the most appropriate option
A) 1000m
B) 1200m
C) 800m
D) 950m
E) 600m

Solution: Explanation:   A:B = 400 : 360   A:C = 400 : 380   =>B:C = 360:380 = 18:19   When C covers 380 m , B Covers 360 m   When C covers x m , B Covers   => x - 50 m   18x/19 = x - 50   x = 950 m   Answer: 950m
Answer: D
The population of a town increases 22% and 25% respectively in two consecutive years. After the growth the present population of the town is 1220. Then what is the population of the town 2 years ago?	Choose the most appropriate option
A) A)600  B) B)700  C) C)800  D) D)900  E) E)1000

Solution: Explanation:   Formula: (After =100 denominator   Ago = 100 numerator)   1220 * 100/122 * 100/125= 
1220 * 100/122 * 100/125 = 800
800   Answer: Option 800
Answer: C
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Choose the correct choice from the following options:
A) 1245 B) 1435 C) 2345 D) 3543 E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
During a trip on an expressway, Kon drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
Choose the correct choice from the following choices.
A) 8.5% B) 50% C) x/12% D) 60/x% E) 500/x%

Solution: so Kon drove (x-5) miles at 60mph and 5 miles at 30mph:   (x-5)/60 + (10/60) = (X+5)/60 - current time to drive the whole distance   if the entire trip @60mph than time = x/60   so to get percent [(X+5)/60 ]/[x/60] x100   =(x+5)/x *100   =100+500/x   so increase of 500/x%[/u]=500/x%
Answer: E
If 30!/10! is written as the product of consecutive integers, the largest of which is 30, what is the smallest of the integers?
Pick:  A) 1  B) 3  C) 7  D) 11  E) 20

Solution: 30!/10!=30∗29∗28...........11∗10!/10!   Smallest integer = 11   Answer = 11
Answer: D
How many 3-digit integers between 100 and 200 have a digit that is the average (arithmetic mean) of the other 2 digits? Choose the correct choice from the following answers:
A) 1  B) 7  C) 9  D) 11  E) 19

Solution: Since the number is between 100 and 200, the hundreds digit has to be 1.   And since the answer choices are small enough, it won't hurt just to write them out. 102, 111, 120, 123, 132, 135, 147, 153, 159, 174, 195.   Answer 11
Answer: D
A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is  Choose the correct option:
A) 627 B) 297 C) 127 D) 150 E) 181

Solution: Explanation:   125% of 120% of A = 225   125/100 * 120/100 * A = 225   A = 225 * 2/3= 
225 * 2/3 = 150
150.   Answer: 150
Answer: D
Ramu bought an old car for Rs. 40000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Options:  A) 12%  B) 16%  C) 18%  D) 82%  E) 22.45%

Solution: Total CP = Rs. 40000 + Rs. 13000 = Rs. 53000 and SP   = Rs. 64900   Profit(%) = (64900 - 53000)/53000 * 100   = 22.45%   Answer:22.45%
Answer: E
If x, y, and z are positive integers and x = 4y = 7z, then the least possible value of x - y - z is
Choices
A) 33 B) 17 C) 49 D) 16 E) 23

Solution: x - y - z = x - x/4 - x/7   = (28 - 7 - 4 )x/28 = 17x/28   17 is not divisible by 28(it's a prime #), so for least value, x = 28   Answer - 17
Answer: B
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in
? Choose the correct option.
A) 3 days
B) 7 days
C) 9 days
D) 11 days
E) 15 days

Solution: That is, 1 person can do one time of the work in 3 days.   Therefore, 7 persons can do 7 times work in the same 3 days itself.   Option '3 days'
Answer: A
Insert the missing number. 2, 7, 10, 22, 18, 37, 26  Choose the correct choice
A) 42	B) 32	C) 52	D) 62	E) 50

Solution: There are two series here   2, 10, 18, 26, ... (Increase by 8)   7, 22, 37, ... (Increase by 15)   Hence, next term is   37+15= 
  37+15 = 52
52   Answer is 52.
Answer: C
What is the total number of positive integers that are less than 800 and that have no positive factor in common with 800 other than 1? Choose the correct choice from the following answers:
A) 200 B) 320 C) 480 D) 500 E) 600

Solution: Since 800=2^5*5^2 then a number can not have 2 and/or 5 as a factor.   The odd numbers do not have 2 as a factor and there are 400 odd numbers from 1 to 800.   We then need to eliminate the 80 numbers that end with 5, that is 5, 15, 25,...,795.   There are a total of 400 - 80= 
400 - 80 = 320
320 such numbers between 1 and 800.   The answer is 320.
Answer: B
Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is  Choose the correct choice
A) 54.  B) 72  C) 105  D) 108  E) None

Solution: Solution   Let the present ages of Father and Son be 2x years and x years respectively.   Then	(2x-18)=3(x-18)   2x-18=3x-54   x=54-18= 
54-18 = 36
36.   Required sum= (2x+x)   =3x   =3x36   =108 years.   Answer 108
Answer: D
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 900 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units? Choose one.
A) 140 sq.units
B) 120 sq.units
C) 187 sq.units
D) 607 sq.units
E) 815 sq.units

Solution: Given that the area of the square = 900 sq.units   => Side of square = √900 = 30 units   The radius of the circle = side of the square = 30 units   Length of the rectangle = 2/5 * 30= 
2/5 * 30 = 12
12 units   Given that breadth= 10 units   Area of the rectangle = lb = 12 * 10= 
12 * 10 = 120
120 sq.units   Answer: 120 sq.units
Answer: B
Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?	Choose the correct choice from the following
A) 48  B) 24  C) 36  D) 16  E) None of the above

Solution: 24 men complete the work in 16 days   ∴ 16 men complete (16⁄24 × 12⁄16) = 1⁄2 part of work in 12 days   32 women complete the work in 24 days   ∴ 16 women complete 16⁄32 × 14⁄24) = 7⁄24 part of work in   (12 + 2 )= 
  (12 + 2 ) = 14
14 days   So, the remaining part of the work which is done by sixteen men + sixteen women and the reqd additional no. of men in 2 days= 1 - (1⁄2 + 7⁄24) = 1⁄2 - 7⁄24 = 5⁄24 (part)   Now, in 2 days 5⁄24 part of the work is done by   24 × 16⁄2 × 5⁄24 = 40 men   Hence, the reqd. additional no. of men   = 40 – 16 = 24 men.   Answer 24
Answer: B
In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
Answers
A) $150
B) $545
C) $214
D) $332
E) $199

Solution: Let x be the price of one shirt, y be the price of one pair of trousers and z be the price of one hat.   4x + 4y + 2z = 560 :   9x + 9y + 6z = 1,290   3x + 3y + 2z = 430 : divide all terms of equation C by 3   x + y = 130 : subtract equation D from equation B   3(x + y) + 2z = 430 : equation D with factored terms.   3*130 + 2z = 430   z = 20 : solve for z   x + y + z = 130 + 20= 
130 + 20 = 150
$150   correct answer $150
Answer: A
If Ryan has 20% more notebook than justin.and Ryan have 18 notebook then Justin have how many notebooks? Answers:  A) 16  B) 14  C) 12  D) 15  E) 10

Solution: lets Justin have x notebook.   (18-x)*100/x=20   1800-100x=20x   120x=1800   x=1800/120= 
1800/120 = 15
15   answer 15
Answer: D
In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 6 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel? Choose the correct choice from the following choices
A) 27/343
B) 3/7
C) 27/125
D) 776/965
E) 9/125

Solution: Let us take 7*5= 
7*5 = 35
35 as the total number of customers. So  7*3= 
 7*3 = 21
21 customers bought a bagel and 5*5= 
5*5 = 25
25 customers bought a coffee.   chances that at least 1 customer bought a coffee and a bagel= 1 - chances that no customer bought a coffee and a bagel   chances that no customer bought a coffee and a bagel= 24/35*23/34*22/33*21/32*20/31*19/30=189/965   chances that at least 1 customer bought a coffee and a bagel= 1 -189/965 = 776/965   Answer 776/965.
Answer: D
A can do a piece of work in 10 days, B in 15 days. They work for 5 days. The rest of work finished by C in 2 days. If they get Rs 1500 for the whole work, the daily wages of B and C are?  Pick one.
A) 275 B) 250 C) 225 D) 300 E) 335

Solution: Part of work done by A = 5/10 = 1/2   Part of work done by B = 1/3   Part of work done by C = (1- (1/2 + 1/3)) = 1/6   A’s share : B’s share : C’s share = 1/2 : 1/3 : 1/6 = 3 : 2 : 1.   A’s share = (3/6) x 1500 = 750   B’s share = (2/6) x 1500 = 500   225’s share = (1/6) x 1500 = 250   A’s daily wages = 750/5= 
750/5 = 150
150/-   B’s daily wages= 500/5= 
500/5 = 100
100/-   225’s daily wages= 250/2= 
250/2 = 125
125/-   Daily wages of B & 225= 100 + 125= 
100 + 125 = 225
225/-   ANSWER:225
Answer: C
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?  Choose the correct choice from the following answers:
A) 2/29 B) 2/20 C) 2/21 D) 2/28 E) 2/23

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³2/21₂/¹⁵2/21₂ = (3 * 2)/(15 * 14) = 1/35   Probability that both are yellow = ²2/21₂/¹⁵2/21₂   = (2 * 1)/(15 * 14) = 1/105   Probability that one blue and other is yellow   = (³2/21₁ * ²2/21₁)/¹⁵2/21₂ = (2 * 3 * 2)/(15 * 14)   = 2/35   Required probability = 1/35 + 1/105 + 2/35   = 3/35 + 1/105 = 1/35(3 + 1/3)   = 10/(3 * 35)   = 2/21   Answer:2/21
Answer: C
A rectangular field is to be fenced on three sides leaving a side of 80 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?	Choose the correct choice:
A) 44ft B) 97ft C) 22ft D) 11ft E) 66ft

Solution: Given that length and area, so we can find the breadth.   Length x 97ftreadth = Area   80 x 97ftreadth = 680   97ftreadth = 8.5 feet   Area to be fenced = 297ft + L = 2 (8.5) + 80 = 97 feet   Answer: 97ft) 97ft
Answer: B
How many 8 ′ s are there in the given sequence which are not immediately preceded by 09 and not immediately followed by 90?
9 0 8 0 9 0 9 8 9 0 8 9 0 8 0 9 8 9 0 9 8 0 9 8 9 0 8 9 0
Choose the correct choice from the following options
A) 3	B) 1	C) 2	D) More than 3	E) None of these

Solution: the given logic is executed 3 times for 8's occuring at 2nd eight,5th eight and 7th eight in the sequence.   3NSWER:3
Answer: A
The factorial expression 11!/2! is not divisible by which of the following integers?
Choose the correct choice from the following options:	A) 3	B) 5	C) 6	D) 7	E) None of these

Solution: 11!/2! => 11 x 10 x 9 x 8x7x6x5x4x3   (A) 3 Can divide 3,12 or 9   (B) 5 Can divide 10   (C) 6 Can divide 12   (D) 7 can divide 7, 21, 42   Hence answer will be (None of these)
Answer: E
A product when sold with 10% rebate on the listed price gave a profit of Rs.70. What was its cost price?  Answers:
A) Rs. 200
B) Rs. 250
C) Rs. 300
D) Cannot be determined
E) None

Solution: Solution   Since the marked price is not given, so the cost price cannot be determined.   Answer Cannot be determined
Answer: D
The cash difference between the selling prices of an book at a profit of 12% and 20% is $3. The ratio of the two selling prices is:  Choose the correct answer
A) 55:23 B) 52:33 C) 52:53 D) 45:53 E) 14:15

Solution: Let C.P. of the book be $x.   Then, required ratio = 112% of x / 120% of x   = 112/120 = 14/15 = 14:15   14:15
Answer: E
Find the result of equation of the ellipse whose foci are at (0 , -5) and (0 , 5) and the length of its major axis is 14.  Choose the correct choice.
A) 5  B) 4  C) 3  D) 2  E) 1

Solution: From the coordinates of the foci, c = 5 and the major axis is the y axis. From the length of the major axis, we obtain a = 7. Also b 2 = a 2 - c 2 = 24.   The equation of the ellipse is given by   x 2 / 24 + y 2 / 49 = 1   correct answer is 1) 1
Answer: E
The average of first 10 natural numbers is?
Answers.
A) 5.7	B) 5.5	C) 5.6	D) 5.4	E) 5.2

Solution: Sum of 10 natural no. = 110/2= 
110/2 = 55
55   Average= 55/10= 
55/10 = 11/2 = around 5.5
5.5   Answer: 5.5
Answer: B
If 18 bindres bind 900 books in 10 days , How many binders will be required to bind 660 books in 12 days?
Choose the correct choice from the following options
A) 17
B) 77
C) 12
D) 11
E) 91

Solution: Explanation:   Let the required no of binders be X.   Less books , Less binders (11irect Proportion)   More days, Less binders (Indirect proportion)   \inline \fn_jvn \left.\begin{matrix} Books\: 900:600\\ 11ays\: \: 12:10 \end{matrix}\right\}::18:x   \inline \fn_jvn \therefore \inline \fn_jvn (900\times 12\times x)=(600\times 10\times 18) \inline \fn_jvn \Leftrightarrow x= \inline \fn_jvn \frac{600\times 10\times 18}{900\times 12} = 11   Answer: 11
Answer: D
In the line xy plane line m has the equation y = 3x - 3, then the line m passes through which of the following points? Select.
A) (3, 1) B) (3, 4) C) (4, 2) D) (6, 9) E) (6, 15)

Solution: Yes it is y=3x-8....extremely sorry for mistake....   IF that's the case then answer is (6, 15)   y=3x-8   15=3X6-3   15=18-3   15=15 (satisfied)
Answer: E
How many Books each of Volume 100 meter cube can be packed into a crate of volume 3000 meter cube?
Select the correct option:	A) 50	B) cannot be determined	C) 150	D) 300	E) 350

Solution: Gud question with a simple concept.   In geo if we want to insert one shape into another we need to know the dimensions of the two shapes.   In above with volume given , we can come up with different shapes, so we cant know the answer   For ex :3000 m3 can be 300*10 or 30*100 or just 3000*1 we don't know , so we cant calculate   Answer : cannot be determined
Answer: B
The average of 6 observations is 16. A new observation is included and the new average is decreased by 1. The seventh observation is?  Pick one:  A) 1  B) 3  C) 9  D) 6  E) 7

Solution: Let seventh observation = X.   Then, according to the question we have   => (96 + X) / 7 = 15   => X = 9   Hence, the seventh observation is 9.   ANSWER:9
Answer: C
A zoo has an average of 510 visitors on Sundays and 480 on Saturday, 210 on other days and Wednesday is holiday. The average number of visitors in a month of 30 days starting with Saturday is
Choose the correct answer
A) 252  B) 268  C) 277  D) 295  E) 310

Solution: Number of saturdays and sundays in that month is 5 and number of wednesdays in that month is 4.   Total number of visitors=(510x5)+(480x5)+((20-4)x210)=8310   Average visitor per day= 8310/30= 
8310/30 = 277
277   Answer: 277
Answer: C