MU-NLPC/Calc-aqua_rat huggingface dataset:
Roy is now 6 years older than Julia and half of that amount older than Kelly. If in 2 years, Roy will be twice as old as Julia, then in 2 years what would be Roy’s age multiplied by Kelly’s age?	Choose the most appropriate option.
A) 84 B) 96 C) 100 D) 108 E) 120

Solution: R = J+6 = K+3   R +2= 
 +2 = 2
2(J+2)   (J+6)+2= 2J+4   J = 4   R = 10   K = 7   In 2 years (R+2)(K+2) = 12*9= 
12*9 = 108
108   The answer is 108.
Answer: D
The ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4800 sq cm. What is the ratio of the width and the area of the rectangle?  Choose the correct choice from the following:
A) 1:72  B) 1:76  C) 1:80  D) 1:84  E) 1:88

Solution: Let the length and the width be 4x and 3x respectively.   Area = (4x)(3x) = 4800   12x^2 = 4800   x^2 = 400   x = 20   The ratio of the width and the area is 3x : 12x^2 = 1 : 4x = 1 : 80   The answer is 1:80.
Answer: C
5/25= 10/50. which method did you use to determine whether this proportion is true or false? Select:  A) true  B) neutral  C) false  D) not sure  E) none

Solution: 5/25= 10/50. cross multiplication:   5 * 50= 
  5 * 50 = 250
250, 10 *25= 250,   we see that 250 are not equal to 250 so there is proportion. corrcet answer: (true)
Answer: A
A sum of Rs.150 Has two types of coins Rs.1 and Rs.2. If total number of coins is 100 then number of Rs.2 coins is  Choices: A) 50 B) 44 C) 65 D) 40 E) None of the above

Solution: x=1 rupee coin   y=2 rupee coin   x+2y=150   x+y=100   50NSWER:50
Answer: A
The sum and the product of two numbers are 12 and 20 respectively, the difference of the number is?	Choose one:  A) 1  B) 6  C) 7  D) 8  E) 2

Solution: Explanation:   x + y = 12   xy = 20   (x- y)2 = (x + y)2 - 4xy   (x- y)2 = 144 - 80 => (x - y) = 8   Answer: 8
Answer: D
Find the odd man out
1, 2, 5, 14, 41, 125 Choose the most appropriate option.
A) 2  B) 14  C) 124  D) 41  E) 125

Solution: 1*3-1= 
1*3-1 = 2
2   2*3-1= 
2*3-1 = 5
5   5*3-1= 
5*3-1 = 14
14   14*3-1= 
14*3-1 = 41
41   41*3 -1= 
41*3 -1 = 122
122   ANSW125R:125
Answer: E
A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 854 in 4 years. The sum is: Pick one
A) s. 650 B) s. 690 C) s. 698 D) s. 708 E) s. 718

Solution: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.   S.I. for 3 years = Rs.(39 x 3) = Rs. 117.   Principal = Rs. (825 - 117) = Rs. 708.   Answer: Option s. 708
Answer: D
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.6 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:  Choose the correct answer
A) 1:2  B) 2:3  C) 2:4  D) 2:1  E) 2:9

Solution: Let the ratio be k : 1. Then,   k * 16.6 + 1 * 15.4 = (k + 1) * 15.8   = (16.6 - 15.8)k = (15.8 - 15.4)   = k = 0.4/0.6 = 1/2   Required ratio = 1/1 : 1 = 1:2.   1:2nswer:1:2
Answer: A
If an integer n is to be selected at random from 1 to 100, inclusive, what is probability n(n+1) will be divisible by 5? Select the correct option:
A) 1/5
B) 1/3
C) 1/2
D) 2/3
E) 2/5

Solution: For n(n+1) to be a multiple of 5, either n or n+1 has to be a multiple of 5.   Thus n must be of the form 5k or 5k-1.   The probability is 2/5.   The answer is 2/5.
Answer: E
The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ?	Choose the correct choice from the following options:
A) 129	B) 250	C) 228	D) 119	E) 112

Solution: Circumference = No.of revolutions * Distance covered   Distance to be covered in 1 min. = (66 X1000)/60 m = 1100 m.   Circumference of the wheel = 2 x (22/7) x 0.70 m = 4.4 m.   Number of revolutions per min. =(1100/4.4)= 
(1100/4.4) = 250
250.   Answer: 250
Answer: B
Evaluate 28% of 450 + 45% of 280  Pick:	A) 232	B) 242	C) 252	D) 262	E) 282

Solution: Explanation:   = (28/100) * 450 + (45/100) * 280   = 126 + 126= 
126 + 126 = 252
252   Answer: Option 252
Answer: C
A toy store regularly sells all stock at a discount of 20% to 40%. If an additional 25% were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $16 before any discount?  Choose the correct choice:	A) a) $5.60	B) b) $7.20	C) c) $8.80	D) d) $9.60	E) e) $15.20

Solution: We will get Lowest price with maximum discount   so the discount on 16 will be 40% - giving 9.6   then another discount of 25% on 9.6 to give 7.2   so b - $7.2 b) $7.20
Answer: B
How many seconds will a 420 metre long train take to cross a man running with a speed of 6 km/hr in the direction of the moving train if the speed of the train is 30 km/hr?
Choose the correct choice from the following answers
A) 25 B) 63 C) 40 D) 45 E) 60

Solution: Explanation :   Speed of train relatively to man = ( 30 - 6)km/hr   = 24 km /hr   = (24x 5 / 18)m/sec   = 6.66 m/sec   Time taken to pass the man = (420 / 6.66)sec = 63 sec.   Answer : 63
Answer: B
Which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-4)^2? Choose the most appropriate option
A) x^2	B) x^2+2	C) x^2-2x+10	D) x^2+2x+10	E) x^2+4x+5

Solution: Avg = [(x+2)^2 + (x-4)^2] / 2   Expanding and simplifying, (x^2 + 4x + 4 + x^2 - 8x + 16 ) / 2 = x^2 - 2x +10   Answer x^2-2x+10.
Answer: C
2x + y = 16
|y| <= 16
For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers? Select.
A) 12	B) 13	C) 16	D) 17	E) 19

Solution: Hi - The questions says |y| <=16 so the values of y will range from 0 to 16. So the values of y will be 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16. So 17 (d) is the answer. remember sign doesn't matter for y as y will always be positive.17
Answer: D
A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Choose the correct choice from the following choices:	A) 63,000	B) 2,000,000	C) 2,030,000	D) 2,040,000	E) 2,300,000

Solution: Let's assume in 2006 the manufacturer sold X.   In 2007 he sold X-3/100(X)   If sales in 2006,X= 2.1 million find X-3/100(X)   (2.1 x 10^6)-3/100(2.1 x 10^6)   2100000-63000=2,037,000-----> 2,040,000(approx)   ANSWER:2,040,000
Answer: D
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is
Pick one:
A) Rs. 3800
B) Rs. 3900
C) Rs. 4000
D) Rs. 4200
E) Rs. 4400

Solution: Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.   Then, 10x = 4y or y = 5 x.   2   15x + 2y = 4000   15x + 2 x 5 x = 4000   2   20x = 4000   x = 200.   So, y = 5 x 200 = 500.   2   Hence, the cost of 12 chairs and 3 tables = 12x + 3y   = Rs. (2400 + 1500)   = Rs. 3900.   Rs. 3900
Answer: B
Four unbiased coin are tossed. What is the probability of getting atmost
one head?  Choose the most appropriate option
A) 15/2 B) 15/4 C) 15/16 D) 3/15 E) 1/16

Solution: Here n(S)= 2^4   Let E=event of getting atmost one head =   n(E)= 16   P(E)=n(E)/n(S)=15/16   Answer option 15/16)
Answer: C
Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately? Choose the correct choice from the following answers
A) 5
B) 4
C) 6
D) 78
E) 9

Solution: Let the cistern be filled by pipe A alone in x hours.   Then, pipe B will fill it in (x + 6) hours.   1/x + 1/(x + 6) = 1/4   x2 - 2x - 24 = 0   (x - 6)(x + 4) = 0 => x = 6.   Answer: 6
Answer: C
Find the number of ways in which 8 different flowers can be strung to form a garland so that for particular flowers are never separated.  Choose the correct option
A) 576  B) 567  C) 676  D) 356  E) 456

Solution: Considering four particular flowers as one flower, we have five flower, which can strung to form a garland in 4! ways. But for particular flowers can be arranged in 4! ways. Required number of ways =4!x4! =576. 576nswer :576
Answer: A
In the coordinate plane a slope of the line K is 3 times the y-intercept of the line K. What is the x-intercept of the line K?	Choose the most appropriate option
A) -4
B) 4
C) -1/4
D) -1/3
E) 2

Solution: As Y=3mx+m, from 0=3mx+m we get x=-1/3. Hence, the correct answer choice is -1/3.
Answer: D
In a sequence of 41 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 281, what is the smallest term in the sequence?	Select:	A) 1	B) -2	C) 0	D) 8	E) 6

Solution: Which term is the greatest? The first or the last? It is given to you that every term is 7 less than the previous term. Hence as you go on, your terms keep becoming smaller and smaller. The first term is the greatest term.   1n = 281 + (41 - 1)*(-7)   1n = 281 - 280= 
281 - 280 = 1
1   1
Answer: A
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle? Select the correct option:	A) 1: 96	B) 1: 92	C) 1: 93	D) 1: 91	E) 1: 97

Solution: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.   (4x)(3x) = 6912   12x2 = 6912   x2 = 576 = 4 * 144 = 22 * 122 (x > 0)   => x = 2 * 12= 
2 * 12 = 24
24   Ratio of the breadth and the areas= 3x : 12x2 = 1 : 4x = 1: 96.   1: 96nswer: Option 1: 96
Answer: A
In State X, all vehicle license plates have 4 letters from the 26 letters of the alphabet followed by 3 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?  Choose the correct choice from the following: A) 23,400 B) 60,840 C) 456,976,000 D) 608,400 E) 676,000

Solution: The choices give us the answer without any calculations--   3 one digits places can take 10*10*10 ways..   4 letters places can be filled up in 26*26*26*26 ways   ans= 26*26*26*26*10*10*10=456,976,000   ans 456,976,000
Answer: C
It takes Joey the postman 1 hours to run a 5 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 8 mile/hour, what is the speed with which Joey returns?
Choose the most appropriate option:
A) 11 B) 12 C) 13 D) 14 E) 20

Solution: let his speed for one half of the journey be 5 miles an hour   let the other half be x miles an hour   now,   avg speed =8 mile an hour   2*5*x/5+x=8   10x=8x+40=>2x=40=>x=20   20
Answer: E
Three years ago the average age of a family of seven members was 22 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Choose the most appropriate option
A) A)1 B) B)2 C) C)3 D) D)4 E) E)5

Solution: 7 * 25= 
7 * 25 = 175
175   8 * 22= 
8 * 22 = 176
176   --------------   1   1nswer: 1
Answer: A
Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 120 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical could be any number from Choose one:
A) 30 to 70
B) 50 to 80
C) 110 to 130
D) 130 to 150
E) 150 to 170

Solution: if there are 120 students majoring in electrical then there must be 80 person not majoring electrical at all, since both of the student not majoring electrical and mechanical is at least 30, so the number of the student who are not majoring electrical but majoring mechanical will be at least 50.   if there are 150 students majoring in mechanical there must be 50 students who are not majoring mechanical at all, since the number of the student who are not majoring electrical but majoring mechanical will be at least 50, hence the number of students both majoring mechanical and electrical will be at least 130   so there must be at least 130 students who major in both   see the answers option the only possible answer is 130 to 150 !
Answer: D
In a certain sequence, each term except for the first term is one less than twice the previous term. If the first term is 1, then the 3rd term is which of the following?  Choose the most appropriate option:	A) −1.5	B) −1	C) 1.	D) 0.5	E) 2

Solution: First = 1   Second = 2*1-1= 
2*1-1 = 1
1.   Second= 2*1-1= 
2*1-1 = 1
1.   Answer: option 1.
Answer: C
If 13 men do a work in 80 days, in how many days will 20 men do it? Choose the correct choice from the following choices: A) 18 days B) 38 days C) 42 days D) 48 days E) 52 days

Solution: 13 * 80 = 20 * x   x = 52 days   ANSW52 daysR:52 days
Answer: E
A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?	Choose the correct answer:
A) ²²C₁₀ B) ²²C₁₀ + 1 C) ²²C₉ + ¹⁰C₁ D) ²²C₁₀ - 1 E) None of these

Solution: The total number of ways of forming the group of ten representatives is ²²C₁₀.   The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way   The required number of ways = ²²C₁₀ - 1   ANSWER:²²C₁₀ - 1
Answer: D
A store sells nine different kinds of shirts. If we want to buy two different kinds of shirts, how many possible combinations of two shirts can we buy?  Choose the correct choice from the following answers: A) 32 B) 33 C) 34 D) 35 E) 36

Solution: 9C2=36.   The answer is 36.
Answer: E
Number N is randomly selected from a set of all primes between 10 and 40, inclusive. Number G is selected from a set of all multiples of 5 between 10 and 40 inclusive. What is the probability that N+G is odd?	Choose the correct option:
A) 1/2
B) 2/3
C) 3/4
D) 4/7
E) 5/8

Solution: All primes except 2 are odd, thus N must be odd. For N + G = odd + G to be odd, G must be even.   There are 7 multiples of 5 between 10 and 40, inclusive: 10, 15, 20, 25, 30, 35, and 40. Out of them 3 (15, 25, and 35) are odd.   Therefore the probability that N + G is odd is 4/7.   Answer: 4/7.
Answer: D
If a person walks at 15 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:	Pick:
A) 50 km B) 56 km C) 60 km D) 40 km E) 80 km

Solution: Let the actual distance travelled be x km.   x/10 = (x+20)/15   15x = 10x + 200   5x = 200   x = 40 km.   answer :40 km
Answer: D
Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1)
What is the largest prime number (written in binary) that is a factor of both 10010000 and 100100000 ?	Choose the correct choice from the following:  A) 10  B) 11  C) 1001  D) 1011  E) 10001

Solution: Binary Divison can provide a quick answer if you are comfortable with it.   as option E is the biggest binary number we try with it first :   100010000/ 1001 =10000   1000100000/ 1001 =100000   so answer is option is 1001
Answer: C
According to a recent student poll, 5/6 out of 30 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking? Choose the correct answer:
A) 1/14
B) 4/49
C) 2/7
D) 28/29
E) 13/14

Solution: 25 students are interested, 5 are not interested   Prob = 1 - 5C2/30C2 = 1 - (5*4/(30*29))=1 - 20/580   = 1- 1/29 = 28/29   Answer : 28/29
Answer: D
Look at this series: 53, 53, 39, 39, 25, 25, ... What number should come next?  Choose the correct choice from the following answers:
A) A)12	B) B)11	C) C)27	D) D)53	E) E)86

Solution: In this series, each number is repeated, then 14 is subtracted to arrive at the next number.   Answer: 11
Answer: B
B and C work together can complete work in 8 days A and B together can complete same work in 12 days and A& C together complete in 16 days in total how many days A,B and C complete the same work together?	Answers.
A) 3 9/13 B) 7 5/13 C) 7 5/12 D) 3 5/12 E) 4 5/12

Solution: Explanation:   (A+7 5/13+C)’s 2 day work = (1/8+1/12+1/16 ) = 13/48   on day work =13/96   so they complete work in 96 /13 = 7 5/13 days   Answer: Option 7 5/13
Answer: B
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?  Pick one:	A) 6/18	B) 3/13	C) 2/14	D) 9/18	E) 7/21

Solution: Clearly, there are 52 cards, out of which there are 12 face cards.   P (getting a face card) = 12/52 = 3/13.   Answer 3/13
Answer: B
Two-third of a positive number and 16/216 of its reciprocal are equal. Find the positive number.  Choices
A) 9/25	B) 14/4	C) 4 /12	D) 144/25	E) 144/29

Solution: Explanation:   Let the positive number be x.   Then, 2/3 x = 16/216 * 1/x   x2 = 16/216 * 3/2   = 16/144   x = √16/144 =4 /12.   ANSWER:4 /12
Answer: C
if a@b = a * b^(1/2) then 5@9 = ?
self made Choose one
A) 12  B) 16  C) 13  D) 15  E) 14

Solution: a@b = a * b^(1/2)   5@9 = 5*9^(1/2) = 5*3= 
5*3 = 15
15   Correct Option: 15
Answer: D
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?  Answers:
A) 35
B) 24
C) 27
D) 27 7/9
E) 67

Solution: Relative speed = (40 - 20)= 
(40 - 20) = 20
20 km/hr.= 20 * 5/ 18 = 50/9 m/sec.   Length of faster train = 50/9 * 5 = 250/9 = 27 7/9 m.   Answer: Option 27 7/9
Answer: D
Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships; 3 medium ships carry as much water as 2 large ships and 1 small ship. If 15 large, 7 medium and 14 small ships, each made 36 journeys to bring a certain quantity of water, then in how many journeys will 12 large, 14 medium and 21 small ships bring the same quantity of water? Pick one:
A) 29 journeys B) 30 C) 20 D) 50 E) 55

Solution: Explanation :   Here, Large, Medium and Small ships are denoted by the symbol L, M and S.   Now, according to the question,   4L = 7S. ------(i)   3M = 2L + S. ------(ii)   Using above equations, the ratios of the capacity of the Large, Medium and Small ships are :-   7: 6 : 4.   Let, the number of journeys required be x. Since, quantity of water remains the same, so :-   =((15×7+7×6+ 14×4)36) = x (12×7+14×6+21×4).   =>((15×7+7×6+14×4)36) / (12×7+14×6+21×4)= x   =>x=7308/252   =>x=29.   29 journeysnswer : 29 journeys
Answer: A
30 square stone slabs of equal size were needed to cover a floor area of 50.7 sq.m. Find the length of each stone slab? Choose the correct choice from the following options:
A) 130cm	B) 767cm	C) 88cm	D) 666cm	E) 776cm

Solution: 130cmrea of each slab   =50.7/30m2=1.69m2   Length of each slab √1.69=1.3m=130cm
Answer: A
Six students wrote science exam. Their average marks are 70. Five Students got 65, 75, 55, 72 and 69 marks respectively. Therefore what is the marks of the sixth student? Pick:
A) 84  B) 68  C) 85  D) 75  E) 42

Solution: EXPL84N84TION   Total marks of 5 students = (65+75+55+72+69)= 
(65+75+55+72+69) = 336
336   Required marks= [ (70 x 6) – 336 ]   = (420 – 336)   = 84   84nswer 84
Answer: A
Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0? Pick one:
A) 12  B) 14  C) 18  D) 20  E) 22

Solution: a/b + b/a = (a2 + b2)/ab = (a2 + b2 + a + b)/ab   = [(a + b)2 - 2ab]/ab   a + b = -8/1 = -8   ab = 4/1= 
4/1 = 4
4   Hence a/b + b/a= [(-8)2 - 2(4)]/4 = 56/4= 
56/4 = 14
14.   14)
Answer: B
Average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new man. Then weight of the new man is	Choices:
A) 50  B) 55  C) 60  D) 65  E) 70

Solution: Explanation:   Total weight increased is 1.5 * 10= 
1.5 * 10 = 15
15.   So weight of new person is 45+15= 
45+15 = 60
60   Option 60
Answer: C
If the probability of rain on any given day in Chicago during the summer is 25%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 7 inclusive?	Options:	A) 1/16	B) 3/32	C) 5/32	D) 3/64	E) 7/64

Solution: One possible case is: rainy-rainy-rainy-not rainy.   The probability of this case is 1/4*1/4*1/4*3/4 = 3/256   The number of possible cases is 4C3 = 4.   P(exactly 3 rainy days) = 4*3/256 = 3/64   The answer is 3/64.
Answer: D
The value of each of 5 numbers is at least 8. The average (arithmetic mean) of these 5 numbers is 24. If the average of two of the numbers is 18, what is the largest possible value that any of these 5 numbers can have? Choose the correct answer.
A) 28  B) 50  C) 68  D) 76  E) 84

Solution: Average => (a1+a2+a3+a4+a5)/5 =24   Thus => a1+a2+a3+a4+a5 = 120   now least value is 8, so let a1 = 8   average of 2 numbers is 18   thus , let (a2+a3) /2 =18   a2+a3 = 36   This tells that sum of last 2 numbers should be :     120 -8-36= 
  120 -8-36 = 76
76   Then by elimination , eliminate 84 and 76   highest possible value of a5 should be 68 from the answer choice   Answer : 68
Answer: C
1, 6, 13, 22, 33, ? Choose the most appropriate option
A) 35
B) 46
C) 48
D) 49
E) 38

Solution: The pattern is + 5, + 7, + 9, + 11,....   Answer : 46.
Answer: B
QUANT 4-PACK SERIES Problem Solving Pack 4 Question 2 For every positive integer n...
For every positive integer n that is greater than 1, the function f(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The f(n) could have any of the following units digits except…?	Choose the correct choice: A) 1 B) 2 C) 4 D) 6 E) 9

Solution: For every positive integer n that is greater than 1, the function f(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The f(n) could have any of the following units digits except…?   Used brute force on this one to calculate. Not sure if there is a quicker way.   1+3= 
1+3 = 4
4 C is out   1+3+....15= 81 A is out   1+3+5+7= 
1+3+5+7 = 16
16 D is out   1+3+5= 
1+3+5 = 9
9 E i out   Answer: 2
Answer: B
Jerry, an electrician, worked 9 months out of the year. What percent
of the year did he work? (round answer to the nearest hundredth)
What percent 12 is 9? 12 months = 1 year Pick one:
A) 58.33%  B) 68.33%  C) 78.33%  D) 88.33%  E) 75.00%

Solution: 1. Multiply the opposites   9 x 100 = 900   100=9/12   Divide by the remaining number   75%   correct answer 75.00%
Answer: E
The twice the square of a natural number is increased by 8, the number is equal to 458more than the number.  Select: A) 3 B) 6 C) 8 D) 12 E) 15

Solution: Explanation:   Let the number be x. Then,   2x2 +8 = 458   => 2x2 = 450 => x2 - 225   => x = 15   Answer: Option 15
Answer: E
Two dice are tossed simultaneously. Find the probability that the total is a prime number.  Select:  A) 5/9  B) 5/8  C) 5/6  D) 5/34  E) 5/1

Solution: 5/9NSWER: 5/9
Answer: A
Statement: "You are appointed as a programmer with a probation period of 1 year and your performance will be reviewed at the end of the period for confirmation." Assumptions: The performance of an individual generally is not known at the time of appointment offer. Generally an individual tries to prove his worth in the probation period.
Select the correct option
A) Only assumption I is implicit B) Only assumption II is implicit C) Either I or II is implicit D) Neither I nor II is implicit E) Both I and II are implicit

Solution: The performance of the individual has to be tested over a span of time as the statement mentions. So, I is implicit. The statement mentions that the individual's worth shall be reviewed (during probation period) before confirmation. So, II is also implicit.   Both I and II are implicit
Answer: E
In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 94% of the products of M3 III are not defective. What is the percentage of defective in the stockpile?  Choose the correct choice from the following answers: A) 3.3% B) 5% C) 2.5% D) 4% E) 6%

Solution: Explanation :   Let there be 100 products in the stockpile. 40% and 30% were manufactured by M1 and M2 respectively. So, 30% are manufactured by M3.   Products from M1 = 40, from M2 = 30 and from M3 = 30.   Number of defective products from M1 = 0.03 x 40 = 1.2, from M2 = 0.01 x 30 = 0.3 and from M3 = 0.06 x 30 = 1.8   Therefore, total number of defective products = 3.3   3.3%nswer : 3.3%
Answer: A