MU-NLPC/Calc-aqua_rat huggingface dataset:
A software programmer does 20% of the work in 80% of the time, and 80% of the work in the remaining 30% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?
Choose the correct option: A) 13x /15 B) 15x/15 C) 7x/15 D) 2x/30 E) 13x/30

Solution: Take X=30 lines   80% of 30 = 24 lines   20% of 30 = 6 lines   W - R - T   6 lines - r1 - 24 (first 80% of the 30 days)   24 lines - r2 - 6 ( last 20% of the 20 days)   r1 = 1/4r2 = 4   Now Work in last 14 days = 6 days programmer worked at r2 + 8days programmer worked at r1   => 6 * 4 + 8 * 1/4 = 24 + 2= 
24 + 2 = 26
26   Insert, X=30 in all options => 13x/30 is the answer.
Answer: E
How many cubes of 50 cm edge can be put in a cubical box of 1 m edge. Choose the correct choice from the following choices:
A) 17 cm	B) 10 cm	C) 8 cm	D) 6 cm	E) 7 cm

Solution: Number of cubes =100âˆ—100âˆ—100/50*50*50=8   Number of cubes =100âˆ—100âˆ—10010âˆ—10âˆ—10=1000   Note: 1 m = 100 cm   Answer:8 cm
Answer: C
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 800 grams. Find the profit percent.
Choose the correct choice from the following answers:
A) 20
B) 15
C) 25
D) 18
E) 19

Solution: Explanation:   (100 + g) / (100 + x) = True measure / Faulty measure   x = 0   true measure = 1000   faulty measure = 800   100 + g / 100 + 0 = 1000 / 800   100+g = 5/4*100   g = 25   ANSWER: 25
Answer: C
Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 5% sugar. What percentage of the gallon is dye? Choose the most appropriate option.
A) 6	B) 4	C) 7.5	D) 8	E) 24

Solution: The proportion of Dye and sugar will remain constant.   Dye/Sugar = (4/9)/(5/9) = x/5   => 4/5 = x/5 => x = 4*5/5= 
4*5/5 = 4
4.   Answer is 4
Answer: B
If W is the set of all the integers between 19 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?	Choose the correct choice from the following.
A) 26	B) 32	C) 33	D) 34	E) 54

Solution: Multiples of 2 from 19 to 99=Multiples of 2 from 1 to 99-Multiples of 2 from 1 to 18=[99/2]-[18/2]=49-9= 
49-9 = 40
40   Multiples of 3 from 19 to 99=Multiples of 3 from 1 to 99-Multiples of 3 from 1 to 18=[99/3]-[18/3]=33-6= 
33-6 = 27
27   Multiples of2 and 3 bothi.e.6 from 19 to 99=Multiples of 6 from 1 to 99-Multiples of 6 from 1 to 18=[99/6]-[18/6]=16-3= 
16-3 = 13
13   These 8 Numbers have been counted twice in both the above calculation while calculating multiples of 2 and 3   i.e. Total Numbers in W= 40 + 27 -13= 
40 + 27 -13 = 54
54   Answer Option 54
Answer: E
3.5 can be expressed in terms of percentage as? Choose the correct choice from the following choices
A) 0.35%	B) 3.5%	C) 35%	D) 350%	E) 450%

Solution: Explanation:   3.5 = 35/10 = (35/10 * 100)= 
(35/10 * 100) = 350
350%   Answer IS 350%
Answer: D
The average of 11 results is 45, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?	Choose the correct choice from the following options:  A) A)46  B) B)111  C) C)66  D) D)76  E) E)74

Solution: 1 to 11 = 11 * 45= 
11 * 45 = 495
495   1 to 6= 6 * 49= 
6 * 49 = 294
294   6 to 11= 6 * 52= 
6 * 52 = 312
312   6th= 294 + 312 – 495= 111   Answer:111
Answer: B
The water from one outlet, flowing at a constant rate, can fill a swimming pool in 7 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 4 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?	Choices
A) 0.22
B) 0.31
C) 2.54
D) 3.21
E) 4.56

Solution: Always remember RT=W i.e Rate*Time = Work   Also remember that rate can be added or subtracted. For e.g if A do a work in 2 day and B do a work in 2 day.   They both of them together will do a work in 1 day.   So now your question first determine both outlets rate.   1st outlet rate = 1/7 (R=W/T here W=1 work, T = 7hrs)   2nd outlet rate = 1/4 (R=W/T here W=1 work, T = 4hrs)   Both of them working together rate = 1st outlet rate + 2nd outlet rate = 1/7+1/4 = 11/28   again apply the formula RT=W   T = W/R = 1/11/28 = 28/11 =2.54   Answer is 2.54.
Answer: C
The total number of digits used in numbering the pages of a book having 369 pages is	Choose the correct choice.
A) 732	B) 990	C) 999	D) 1305	E) 1405

Solution: Total number of digits   = (No. of digits in 1- digit page nos. + No. of digits in 2-digit page nos. + No. of digits in 3- digit page nos.)   = (1 x 9 + 2 x 90 + 3 x 270) = (9 + 180 + 810)= 
(9 + 180 + 810) = 999
999.   ANSWER:999
Answer: C
A committee of two people is to be chosen from three married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?  Choose the correct choice
A) 4
B) 8
C) 12
D) 16
E) 32

Solution: Each couple can send only one representative to the committee. Let's see in how many ways we can choose 2 couples (as there should be 2 members) out of 3 to send only one representatives to the committee: 3C2=3.   But each of these 2 couples can send two persons (husband or wife): 2*2=2^2=4.   Total # of ways: 3C2*2^2=12.   Answer: 12
Answer: C
There ia truck which should reach some place at 11'o clock , if it travels with 30 mph it reaches i hour before, if it travles with 20 mph it reaches 1 hour late. what is the distance it must be travlled and what is the speed it must maintain to rech at exact time?  Answers
A) 22 kmph  B) 24 kmph  C) 26 kmph  D) 28 kmph  E) 20 kmph

Solution: let S T D are the speed time and distance   S=D/T   according to question,   30=D/(T-1)..........1   and   20=D/(T+1)..........2   dividing equation 1 by 2 we get T=5 hours   now,   for distance put value of T in equ 1   then D=120 m   now,   for exact time s=d/t   =120/5= 
120/5 = 24
24 kmph   ANSWER:24 kmph
Answer: B
If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a × b × c < a^3
II. 5b > 5c
III.a + b + c > a^3
Choose the correct answer.
A) I only	B) II only	C) III only	D) II and III	E) I, II, and III

Solution: Only 'A' is possible solution. If a is even prime number i.e 2, b is 3 and c is 4   Putting the values in the answers only 'I only' seems valid.
Answer: A
Mohit sold an article for $27000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?	Choose the correct choice from the following:	A) 16000	B) 22500	C) 15000	D) 18000	E) 17000

Solution: Let the CP be $x.   Had he offered 10% discount, profit = 8%   Profit = 8/100 x and hence his SP = x + 8/100 x = $1.08x = 27000 - 10/100(27000) = 27000 - 2700 = $22500   => 1.08x = 22500   => x = 22500   22500
Answer: B
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 42, the dividend is? Choose one.
A) 4452 B) 4445 C) 4330 D) 4334 E) 4336

Solution: Divisor = (5 * 42)= 
(5 * 42) = 210
210= 10 * Quotient = Divisor   => Quotient = 210/10= 
210/10 = 21
21   Dividend= (Divisor * Quotient) + Remainder   Dividend = (210 * 21) + 42= 
(210 * 21) + 42 = 4_452
4452   4452
Answer: A
If a positive integer n is divisible by both 2 and 3, then n must also be divisible by which of the following?
I. 6
II. 5
III. 18 Choose the correct choice from the following answers:
A) None
B) I only
C) II only
D) I and II
E) II and III

Solution: A multiple of 2 and 3 is also a multiple of 6, but not necessarily a multiple of 5 or 18.   The answer is I only.
Answer: B
Three partners A,B,C starts a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs.16,500 at the end of the year, B's share is	Options
A) Rs.4000 B) Rs.6000 C) Rs.7500 D) Rs.6600 E) None

Solution: Solution   Let C = x.   Then, B = 4x and 2A = 3x4x = 12x or A = 6x.   ∴ A : B : C = 6x : 4x : x	= 6 : 4 : 1.   So B's capital	= Rs(16500 x 4 / 11)   = Rs.6000.   Answer Rs.6000
Answer: B
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?  Choose the correct choice from the following answers
A) 1.8
B) 1.9
C) 1.2
D) 1.5
E) 1.6

Solution: M = 4.5   S = x   1.5S = 4.5 + x   US = 4.5 + x   4.5 + x = (4.5 - x)2   4.5 + x = 9 -2x   3x = 4.5   x = 1.5   Answer:1.5
Answer: D
If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'6" tall, which of the following is the median height of the children?
Options:
A) 2'2"  B) 2'6"  C) 3'3"  D) 3'4"  E) 4'3

Solution: Total number of children in class = 20   so median must be between 10th and 11th child when they are arranged in ascending order.   When arranged in ascending order 5th and 6th child will have the height of 3'4"   so required median height = (2'6"+2'6")/2 = 2'6"   Ans:Option 2'6"
Answer: B
If you are given $2, and the amount doubles every day, how much money will you have after 10 days?
Choose the correct choice from the following options.
A) $256
B) $512
C) $1024
D) $2048
E) $4096

Solution: 2^10=1024   The answer is $1024.
Answer: C
The sum of number of boys and girls in a school is 900. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
Choose one:
A) 50
B) 40
C) 60
D) 90
E) 70

Solution: We have x+x% of 900 = 900   x + x/100 * 900 = 900   10 * x = 900   x =90   Answer is 90
Answer: D
Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 49 hours and 16 hours respectively. The ratio of their speeds is  Choose the correct choice from the following.
A) 4:1 B) 4:2 C) 4:5 D) 4:3 E) 4:7

Solution: Ratio of their speeds = Speed of first train : Speed of second train   = √16−−√49   = 4:7   Answer is 4:7.
Answer: E
If an article with marked price of $4000 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay?
Answers:
A) 3600  B) 3080  C) 2280  D) 2760  E) 2900

Solution: discount=0.9*.75*.85=.57   so .57*4000= 
.57*4000 = 2_280
2280   ANSWER:2280
Answer: C
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 682, C will receive Choose the correct choice from the following
A) 233
B) 381
C) 132
D) 287
E) 271

Solution: Explanation:   Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .   A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.   Hence, C's share (682* 6/31) = Rs, 132.   Answer: 132) Rs.132
Answer: C
In a company, 58% of all its employees earn lesser than $50,000; 66% earn more than $40,000; 17% earn $45,000; 3% earn $48,000.
What is the median salary  Choose the most appropriate option:	A) 42,000	B) 43,000	C) 44,000	D) 45,000	E) 46,000

Solution: as only amount mentioned in the question and in the options is $45000 ($48000 not mentioned)   Rest amounts are in the form of greater than or lesser than , Hence C $45000   answer is 45,000
Answer: D
There are 6 working days in a regular week and for each day, the working hours are 10. A man earns Rs. 2.10 per hour for regular work and Rs. 4.20 per hour for overtime. If he earns Rs.525 in 4 weeks, how many hours did he work? Choose the correct choice from the following: A) 245 B) 285 C) 275 D) 255 E) 265

Solution: Explanation :   Regular working hours in 4 weeks = (4 × 6 × 10) = 240 hours   245mount earned by working in these regular working hours   = 240 × 2.10 = Rs.504   245dditional amount he earned = 525 - 504 = Rs.21   Hours he worked overtime = 21/4.2 = 210/42= 
210/42 = 5
5 hours   Total hours he worked= 240 + 5= 
240 + 5 = 245
245 hours   245nswer : 245
Answer: A
Two brothers took the GMAT exam, the higher score is A and the lower one is B. If the difference between the two scores is equal to their average, what is the value of B/A ?
Choose the correct choice from the following answers.
A) 3 B) 2 C) 1/2 D) 1/3 E) There isn't enough data to answer the question.

Solution: Answer is 1/3 : 1/3   A - B = (A + B)/2   Solving for B/A = 1/3   1/3
Answer: D
There are three categories of jobs A, B and C. The average salary of the student who got the job of A and B categories is 26 lakh per annum. The average salary of the students who got the job of B and C category is 44 lakh per annum and the average salary of those students who got the job of A and C categories is 34 lakh per annum. The most appropriate (or closet) range of average salary of all the three categories (if it is known that each student gets only one category of jobs i.e. , A, B and C): Options
A) lies between 30 and 44 B) lies between 28 and 34 C) lies between 34 and 44 D) lies between 27 and 44 E) None of these

Solution: Solution: Let the number of students who got the job of A, B and C categories is a, b and c respectively,   Then the total salary,   = [{26(a+b)+44(b+c)+34(c+a)}/2(a+b+c)]   = [(60a+70b+78c)/2(a+b+c)]   = [30(a+b+c)+(5b+9c)]/(a+b+c)   = 30 + some positive value   Thus, the minimum salary must be Rs. 30 lakh and the maximum salary can not exceed 44, which is the highest of the three.   lies between 30 and 44nswer: Option lies between 30 and 44
Answer: A
The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Options.
A) 13√8 B) 13√2 C) 13√0 D) 53√2 E) 13√1

Solution: 4a = 48 4a = 20   a = 12 a = 5   a2 = 144 a2 = 25   Combined area = a2 = 169 => a = 13   d = 13√2   Answer:13√2
Answer: B
Two numbers are respectively 19% and 40% more than a third number. The percentage that is first of the second is?	Select:
A) 15%  B) 20%  C) 25%  D) 30%  E) 35%

Solution: I II III   119 140 100   140----------119   100-----------? => 15%   15%nswer:15%
Answer: A
The average (arithmetic mean) of 10, 30, and 50 is 8 more than the average of 20, 40, and x. What is x? Answers:  A) 2  B) 4  C) 6  D) 8  E) 10

Solution: The average of 10, 30, and 50 is 30.   The average of 20, 40 and x is 22.   Then 20 + 40 + x = 66.   x = 6.   The answer is 6.
Answer: C
A sum of Rs.1400 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls
Select:
A) 8B, 5G	B) 5B, 8G	C) 4B, 9G	D) 9B, 4G	E) 9B, 5G

Solution: 1205B, 8G+100G=1400-----i   5B, 8G+G=13-------ii   from i   1005B, 8G+205B, 8G+100G=1400   100(5B, 8G+G)+205B, 8G=1400   100(13)+205B, 8G=1400   5B, 8Gy simplifing we get   5B, 8G=5;G=8   ANSWER:5B, 8G
Answer: B
What approximate value will come in place of the question mark (?) in the following equation?
√625.04×16.96+136.001÷17=?	Options:
A) 418 B) 441 C) 425 D) 433 E) 449

Solution: ?=−−−−−√625.04×16.96+136.001÷17?=≈ 25 × 17 + 8   = 425 + 8= 
425 + 8 = 433
433   Answer 433
Answer: D
Seats for Maths, Physics and Biology are in the ratio of 8 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats? Choose the correct option:
A) 16 : 15 : 20
B) 16 : 7 : 8
C) 16 : 8 : 9
D) Cannot be determined
E) None of these

Solution: Reqd ratio 8 Ã— 140â„100 : 7 Ã— 150â„100 : 8 Ã— 175â„100   = 8 Ã— 140 : 7 Ã— 150 : 8 Ã— 175 = 16 : 15 : 20   16 : 15 : 20nswer 16 : 15 : 20
Answer: A
A boat can move upstream at 25 kmph and downstream at 37 kmph, then the speed of the current is?	Choose the correct option:	A) 5 kmph	B) 7 kmph	C) 8 kmph	D) 6 kmph	E) 4 kmph

Solution: US = 25   6 kmphS = 37   M = (37 - 25)/2= 
(37 - 25)/2 = 6
6   Answer:6 kmph
Answer: D
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Choose the correct option:  A) 228  B) 105  C) 288  D) 277  E) 299

Solution: x:y:z = 100:45:30   20:9:6   9 --- 27   35 --- ? => 105   Answer: 105
Answer: B
A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/9 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?  Choices:	A) 7x/2	B) x/2	C) 2x/3	D) 3x/2	E) 2x

Solution: x/(x+y) = 2/9   9x = 2x+2y   7x = 2y   y = 7x/2   7x/2nswer 7x/2
Answer: A
If in a $210 mln portfolio of stock, twice as much is invested in stock A as is invested in all the other stocks, how much is invested in all the other stocks?  Choose one:
A) 70mln B) 60mln C) 50mln D) 40mln E) 30mln

Solution: Let x denote the amount invested in all the other stocks. Then the amount invested in stock A is 2x. As we have the $210 mln portfolio, x+2x=3x=210 mln from where x=70 mln.   70mlnnswer: 70mln
Answer: A
If 55^4*11^6*16^3 = x, what is the units digit of x ?	Pick one:
A) 2	B) 6	C) 0	D) 1	E) 5

Solution: 55^4*11^6*16^3 = x   Units digit of x will be   5^4 * 1^6 * 6^3   =5* 1 *6= 
5* 1 *6 = 30
30   Therefore , units digit of x= 0   Answer 0
Answer: C
For how many integers n is 1^n+1 = (n+1)^1?  Choose the most appropriate option.
A) 0	B) 1	C) 2	D) 3	E) None of these

Solution: If n=0   1^0+1 = (0+1)^1   1^1 =1 ok   If n=1   1^2 =1 ; (2)^1=2 not OK   So, 0nswer : 0
Answer: A
If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of( r − s)/2?
Select the correct option:  A) 8  B) 2  C) − 2  D) − 4  E) − 5

Solution: We know that given ax^2 + bx + c = 0, Sum of the roots = -b/a and product of the roots = c/a.   The roots here are -r and -s.   -r - s = -(-2)/1 = r + s = -2   (-r)*(-s) = -15/1 = rs   So one of r and s is -5 and the other is 3. So (r - s)/2 could be 4 or -4.   Answer (− 4)
Answer: D
A student is ranked 12th from right and 6th from left. How many students are there in totality ?  Choose the correct choice from the following choices:
A) 17  B) 19  C) 20  D) 21  E) 22

Solution: From right 12 , From left 6   Total = 12+6-1= 
12+6-1 = 17
17   ANSWER:19
Answer: B
If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third?  Options
A) 3/17  B) 3/15  C) 3/10  D) 3/14  E) 2/10

Solution: Explanation:   3/10= 
3/10 = 3/10 = around 0.3
0.3, 1/16= 0.0625, 4/11 = 0.36, 2/9 = 0.22, 1/7 = 0.14, 5/14 = 0.36 and 5/24 = 0.21   4/11 > 5/14 > 3/10 > 2/9 > 5/24 > 1/7 > 1/16   3/10 will be the third.   Answer: 3/10
Answer: C
A train speeds past a pole in 10seconds and a platform 50 m long in 20 seconds. Its length is:
Select the correct option
A) 30 m.
B) 40 m.
C) 60 m.
D) 50 m.
E) 70 m.

Solution: Let the length of the train be x meters and its speed be y m/sec.   They, x / y = 10 => y = x/10   x + 50 / 20 = x / 10   x = 50 m.   Answer: Option 50 m.
Answer: D
The price of a car is marked at $12,000. If the car has successive discounts of 20%, 15% and 5%, then at what price does a customer buy the car?
Select
A) $7524 B) $7752 C) $7880 D) $8196 E) $8324

Solution: 0.95*0.85*0.8*12000= 
0.95*0.85*0.8*12000 = 7_752
$7752   The answer is $7752.
Answer: B
If a^2=b^2 and b^2=1 ,then what will be the value of a^2+b^2?
Pick one.
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: The answer is 2.   a^2+b^2=b^2+b^2(a^2=b^2)   =1+1(b^2=1)   So the option is 2
Answer: C
a,b,c,d,e,f,g,h sitting in a row what is the probability that a,b,d are sitting together?	Answers.
A) 1/5	B) 3/28	C) 1/7	D) 1/14	E) 5/28

Solution: total number of arrangement is= 8!= 40320   Favorable event i.e a,b and d can be arranged in 3! and the remaining can be arranged in 6! since abd can be in any of the six positions.   so 3!*6!/8! = 3/28   ANSWER:3/28
Answer: B
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?  Choose one.
A) 766m	B) 587m	C) 350m	D) 686m	E) 986m

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 39 = 50/3   3(x + 300) = 1950 è x = 350m.   Answer:350m
Answer: C
If the wheel is 14 cm then the number of revolutions to cover a distance of 2288 cm is?	Choose the most appropriate option.
A) 26
B) 28
C) 17
D) 12
E) 88

Solution: 2 * 22/7 * 14 * x = 2288 => x = 26   26nswer: 26
Answer: A
In the storage room of a certain bakery, the ratio of sugar to flour is 3 to 8, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room?	Choose the correct choice from the following choices
A) 600 B) 900 C) 1500 D) 1600 E) 1750

Solution: Sugar:Flour = 3:8 = 15:40;   Flour:Soda = 10:1 = 40:4;   Thus we have that Sugar:Flour:Soda = 15x:40x:4x.   Also given that 40x/(4x+60) = 8/1 --> x=60 --> Sugar = 15x = 900.   Answer: 900.
Answer: B
How much more would Rs.10000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?	Options.
A) 241
B) 725
C) 992
D) 837
E) 923

Solution: 10000(11/10)4 - 10000(6/5)2 = 241   241nswer:241
Answer: A
A four-sided shape has angles with ratio 1:2:3:4. What is the measurement of one of its angles? Choose the correct choice from the following options
A) 32Â°  B) 70Â°  C) 112Â°  D) 144Â°  E) 168Â°

Solution: The angles of a four-sided shape should add up to 360Â°. Using the 1:2:3:4 ratio, we use the equation   x + 2x + 3x + 4x = 360Â°   10x = 360Â°   x = 36Â°   x = 36Â°   2x = 72Â°   3x = 108Â°   4x = 144Â°, which is 144Â°, so this is the correct answer.
Answer: D
Find the odd man out. 18, 16, 12, 24, 12, 34, 15	Select the correct option
A) 16	B) 46	C) 15	D) 11	E) 18

Solution: Explanation :   15 is the only odd number in the given series   Answer : Option 15
Answer: C
The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 22-inch screen would be how many square inches greater than the area of a square 20-inch screen?
Choose the correct choice from the following options.
A) 2  B) 4  C) 16  D) 42  E) 40

Solution: Pythogoras will help here!   let the sides be x and diagonal be d   Then d ^2 = 2x^2   and   Area = x^2   Now plug in the given diagonal values to find x values   and then subtract the areas   Ans will be 22^2/2 - 20^2 /2 = 84 /2= 
84 /2 = 42
42   Ans 42.
Answer: D
Which of the following is not the square of an integer? Choose the correct choice from the following:
A) 640828
B) 478864
C) 227529
D) 690561
E) 748225

Solution: The square of an integer (n^2) can have only the following units digit:   0, if the units digit of n is 0;   1, if the units digit of n is 1 or 9;   4, if the units digit of n is 2 or 8.   5, if the units digit of n is 5;   6, if the units digit of n is 6 or 4;   9, if the units digit of n is 3 or 7.   The square of an integer cannot have the units digit of 2, 3, 7, or 8.   The answer is 640828.
Answer: A
Six people are on an elevator that stops at exactly 6 floors. What is the probability that exactly one person will push the button for each floor?  Answers:
A) 6!/6^6	B) 6^6/6!	C) 6/6!	D) 6/6^6	E) 1/6^6

Solution: Each person out of 6 has 6 options, hence total # of outcomes is 6^6;   Favorable outcomes will be 6!, which is # of ways to assign 6 different buttons to 6 people:   1-2-3-4-5-6 (floors)   A-B-C-D-E-F (persons)   B-A-C-D-E-F (persons)   B-C-A-D-E-F (persons)   ...   So basically # of arrangements of 6 distinct objects: 6!.   P=favorable/total=6!/6^6   6!/6^6nswer: 6!/6^6.
Answer: A