MU-NLPC/Calc-aqua_rat huggingface dataset:
Last year a certain bond price with a face value of 5000 yielded 7% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?  Choose the correct answer:	A) 4063	B) 5325	C) 5385	D) 6000	E) 6154

Solution: Interest = 0.07*5000 = 0.065*selling price --> selling price = 0.07*5000/0.065 --> selling price = ~5,385   Answer: 5385.
Answer: C
A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 5 more days. How many days would it have taken the second carpenter to do the complete job working alone? Choices.
A) 4.5	B) 7.5	C) 9.5	D) 17.5	E) 24.5

Solution: A carpenter worked only 1 day on something that takes him 6 MORE days.   Means;   Carpenter finishes his work in 7 days.   Let his buddy finish the same task in x days.   Respective rates per day:   1/7 AND 1/x   To complete 1 work:   First guy worked for 5 days @ rate=1/7 per day.   Second one worked for 5 days @ rate=1/x per day   Expression:   Days*Rate=Work   5*1/7+5*1/x=1   5x+35=7x   2x=35   x=17.5 days.   Ans:17.5
Answer: D
The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?	Choose the correct choice.
A) 38 cm2  B) 85 cm2  C) 65 cm2  D) 40 cm2  E) 35 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 2.5 * 32/2= 
2.5 * 32/2 = 40
40 cm2   Answer:40 cm2
Answer: D
The distance from City A to City B is 180 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 120 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara?  Choose the correct choice from the following answers
A) 42	B) 45	C) 46	D) 48	E) 50

Solution: The time it takes Cara to drive to City B is 180 / 30= 
180 / 30 = 6
6 hours.   Dan needs to take less than 4 hours for the trip.   Dan needs to exceed a constant speed of  180 / 4= 
 180 / 4 = 45
45 miles per hour.   The answer is 45.
Answer: B
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 4 employees to 3 different offices? Choose the most appropriate option
A) 64
B) 65
C) 66
D) 67
E) 68

Solution: Each of three employee can be assigned to either of offices, meaning that each has 2 choices --> 4*4*4=4^3=64.   64nswer: 64.
Answer: A
Two years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages? Choose the correct choice
A) 3
B) 7
C) 9
D) 1
E) 5

Solution: Let present age of P and Q be 3x3x and 4x4x respectively.   Two years ago, P was half of Q's age   â‡’(3xâˆ’2)=1/2(4xâˆ’2)   â‡’6xâˆ’4=4xâˆ’2   â‡’2x=2   â‡’x=1   Total of their present ages   =3x+4x=7x3 +4= 
3 +4 = 7
7x=7Ã—1=7   7
Answer: B
what is the remainder when 4.4!*5.5!*6.6!...........19*19! is divided by 64	Pick.
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: (4*4*3*2*5*5!*6*5*.......*1*7*7!..........)/64=(int value) no remender there   0NSWER:0
Answer: A
If a, b are integers and |a-b|=6, which of the following is the smallest possible value of ab? Select the correct option.
A) -16 B) 0 C) 16 D) -9 E) 40

Solution: a=3, b=-3. Hence, the answer is -9.
Answer: D
Two pipes P and Q can fill a cistern in 16 and 18minutes respectively. Both are opened together, but at the end of 4 minutes the first is turned off. How much longer will the cistern take to fill?	Choose the correct choice from the following answers:	A) 11 1/2	B) 13 1/2	C) 13 1/3	D) 13 1/5	E) 13

Solution: 4/16 + x/18 = 1   x= 13 1/2.Answer: 13 1/2
Answer: B
Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?  Choices.
A) 35
B) 36
C) 37
D) 39
E) 40

Solution: Let the present ages of X and Y be 5x and 6x years respectively.   Then, (5x + 7)/(6x + 7) = 6/7   7(5x + 7) = 6(6x + 7) => x = 7   X's present age = 5x = 35 years   35NSWER:35
Answer: A
If the positive integer x is a multiple of 176 and the positive integer 222 is a multiple of 6, then xy must be a multiple of which of the following?
I. 7
II. 44
III. 41  Answers: A) II only B) I and II only C) I and III only D) II and III only E) I, II, and III

Solution: x=176a   y=222b   xy=39072ab   where a,b are integers   Hence , xy will always be divisible by 8,12 .   II only is the answer.
Answer: A
How many times in a day, are the hands of a clock in straight line but opposite in direction? Choose the correct choice from the following:
A) 20 B) 22 C) 24 D) 32 E) 48

Solution: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clock only). So, in a day, the hands point in the opposite directions 22 times.Answer : 22
Answer: B
Express a speed of 36 kmph in meters per second?
Choose the correct choice from the following: A) 10 B) 22 C) 88 D) 299 E) 22

Solution: 36 * 5/18= 
36 * 5/18 = 10
10 mps   10nswer: 10
Answer: A
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choose the correct choice from the following options:
A) 5.79
B) 5.78
C) 5.76
D) 5.71
E) 5.72

Solution: M = 6   S = 1.2   DS = 7.2   US = 4.8   x/7.2 + x/4.8 = 1   x = 2.88   D = 2.88 * 2= 
2.88 * 2 = 5.76
5.76   Answer:5.76
Answer: C
How many ways can 7 friends be arranged around a circular dinner table? Pick one
A) A)16  B) B)48  C) C)96  D) D)120  E) E)720

Solution: The number of arrangements of n distinct objects in a row is given by n!n!.   The number of arrangements of n distinct objects in a circle is given by (n−1)!(n−1)!.   The difference between placement in a row and that in a circle is following: if we shift all object by one position, we will get different arrangement in a row but the same relative arrangement in a circle. So, for the number of circular arrangements of n objects we have:   n!n=(n−1)!n!n=(n−1)!.   So, the answer is (7 - 1)= 
(7 - 1) = 6
6!= 720.   Answer: 720.
Answer: E
In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together? Pick one
A) 8*9! B) 8*8! C) 7*9! D) 9*8! E) None

Solution: Solution: No. of ways in which 10 paper can arranged is 10! Ways.   When the best and the worst papers come together, regarding the two as one paper, we have only 9 papers.   These 9 papers can be arranged in 9! Ways.   And two papers can be arranged themselves in 2! Ways.   No. of arrangement when best and worst paper do not come together,   = 10!- 9!.2! = 9!(10-2) = 8.9!.   8*9!nswer 8*9!
Answer: A
The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 240 m, its area is?	Choose the correct choice from the following options.
A) 150  B) 882  C) 277  D) 261  E) 120

Solution: 5x + 12x + 13x = 240 => x = 8   a = 40, b = 96, c = 104   S = (40 + 96 + 104)/2= 
(40 + 96 + 104)/2 = 120
120   Answer: 120
Answer: E
A store reduced the price of all items in the store by 9% on the first day and by another 10% on the second day. The price of items on the second day was what percent of the price before the first reduction took place?  Choose the most appropriate option
A) 80.0  B) 80.9  C) 81.0  D) 81.1  E) 81.9

Solution: consider price of the all items as $100   after a initial reduction of 9% price becomes = 0.91 *100= 
0.91 *100 = 91
$ 91   after the final reduction of 10% price becomes= 0.9* 91= 
0.9* 91 = 81.9
$ 81.9   price of all items on second day is 81.9% of price on first day   correct answer option 81.9
Answer: E
The average marks of Riya,Siya,Lisa was 80. The average marks of Siya,Lisa,Hena was 85. If marks of Hena be 84, what was the mark of Riya?	Choose one
A) 39	B) 69	C) 37	D) 42	E) None of these

Solution: Explanation:   R+S+L=80*3= 
80*3 = 240
240   S+L+H=85*3= 
85*3 = 255
255   Also, marks of Hena=84   marks of Riya = 240+84-255= 
240+84-255 = 69
69   Answer: Option 69
Answer: B
200 + 8 × 4 = ? Pick:
A) 232	B) 202	C) 420	D) 209	E) None of these

Solution: 200 + 8 × 4 = ?   or, ? = 200 + 32= 
200 + 32 = 232
232   232nswer 232
Answer: A
1/2, 1/4, 1/8, 1/16, 1/32, ....
In the sequence above each term after after the first one-half the previous term. If x is the FOURTH term of the sequence, then x satisfies which of the following inequalities?  Choose one
A) 0.0625 B) 0.625 C) 0.1 D) 1 E) 1.1

Solution: In the Sequence notice that the sequence is just the 1/(2^n) ...   so for 1st term=1/2^1=1/2   2nd term=1/(2^2)1/4, 3rd term=1/(2^3)=1/8 and so on...   Thus the 4th term will be 1/(2^4)=1/16= 
1/16 = 1/16 = around 0.0625
0.0625   0.0625
Answer: A
Machine A and machine B process the same work at different rates. Machine C processes work as fast as Machines A and B combined. Machine D processes work three times as fast as Machine C; Machine D’s work rate is also exactly four times Machine B’s rate. Assume all four machines work at fixed unchanging rates. If Machine A works alone on a job, it takes 7 hours and 40 minutes. If all four machines work together on the same job simultaneously, how many minutes will it take all of them to complete it?
Choose the correct answer.
A) 17	B) 19	C) 21	D) 23	E) 25

Solution: C = A + B   D = 3C = 3(A+B) = 4B   Then B = 3A and C = 4A   The combined rate of the four machines is A + 3A + 4A + 12A = 20A   Machine A can complete the work in 460 minutes, so its rate is 1/460 of the work per minute.   The combined rate is 20/460 = 1/23 so the work will be completed in 23 minutes.   The answer is 23.
Answer: D
Which one of the following is a prime number?	Choose the correct choice from the following options
A) 10	B) 61	C) 49	D) 75	E) 91

Solution: 61 is divisible by 1, and itself. So, it is a prime number.   61
Answer: B
The sum of three consecutive integers is 102. Find the lowest of the three?  Select.
A) 18	B) 67	C) 98	D) 33	E) 26

Solution: Three consecutive numbers can be taken as (P - 1), P, (P + 1).   So, (P - 1) + P + (P + 1) = 102   3P = 102 => P = 34.   The lowest of the three   = (P - 1)   = 34 - 1= 
34 - 1 = 33
33.   Answer: 33
Answer: D
Every letter in the alphabet has a number value that is equal to its place in the alphabet. Thus, the letter A has a value of 1, the letter B has a value of 2, the letter C has a value of 3, etc... The number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. What is the number value of the word "CAT"?  Answers.
A) 45 B) 54 C) 63 D) 72 E) 81

Solution: "CAT" = (3+1+20)*3= 
(3+1+20)*3 = 72
72.   The answer is 72.
Answer: D
What is the rate percent when the simple interest on Rs.800 amount to Rs.144 in 4 Years?
Answers:
A) 5%
B) 4%
C) 3%
D) 9%
E) 1%

Solution: 144 = (800*4*R)/100   R = 4%   Answer: 4%
Answer: B
A can finish a work in 12 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?  Answers:
A) 6  B) 5  C) 4  D) 7  E) 8

Solution: B's 10 day's work = ( 1 x 10 ) = 2 .   15 3   Remaining work = ( 1 - 2 ) = 1 .   3 3   Now, 1 work is done by A in 1 day.   12   Therefore 1 work is done by A in ( 12 x 1 ) = 4 days.   4
Answer: C
If a and b are both even numbers, which of the following is an even number?
Choose the correct choice from the following answers:
A) a + b+b
B) a + b + 1
C) ab+1
D) ab + 3
E) NOne

Solution: Sol.   Sum of two even numbers is always even.   a + b+bnswer a + b+b
Answer: A
There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total?	Choose the correct choice:
A) 1961 B) 1981 C) 1991 D) 1971 E) None of the above

Solution: We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60.   Answer 1981
Answer: B
There are seven pairs of black shoes and 5 pairs of white shoes .Tey all are put into a box and shoes are drawn at a time.To ensure that at leat one pair of black shoes are taken out,what is the number of shoes required to be drawn out.
Select the correct option
A) 12  B) 13  C) 7  D) 18  E) 19

Solution: White shoes: 5*2= 
5*2 = 10
10   Black shoes:  7*2= 
 7*2 = 14
14   Total shoes:  14+10= 
 14+10 = 24
24   Now, for the worst case,   1st- All the white shoes are taken out, so 10 shoes are drawn.   2nd- All the one sided (assume only left side) black shoes are drawn. So, another 7 shoes are drawn.   So, in the box left shoes are= 24-17= 
24-17 = 7
7   Those 7 shoes are right sided black shoes.   So on the 18th draw we'll get the 1st right footed black shoe, i.e. the 1st pair of black shoe.   So, the no. of shoes required to be drawn out is: 18   ANSWER:18
Answer: D
How many numbers between 1000 and 5000 are exactly divisible by 225?  Choose the correct choice from the following choices
A) 16
B) 18
C) 19
D) 12
E) 13

Solution: Explanation: First multiple of 225 after 1000 is 1125 (225 × 5 ) and last multiple of 225 before 5000 is 4950 (225 × 22)   Total number are l−a/d+1=4950−1125/225+1=18   Correct Option: 18
Answer: B
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?	Select.
A) 4 3/3 km	B) 4 3/6 km	C) 4 3/8 km	D) 4 9/8 km	E) 7 3/8 km

Solution: RS = 5 ¾ - 4 ½ = 1 ¼   T = 3 ½ h.   D = 5/4 * 7/2 = 35/8 = 4 3/8 km   Answer: 4 3/8 km
Answer: C
The radius of a cone is 8 m, height 6 m. Find the slant height? Choose the correct answer:	A) 5	B) 10	C) 15	D) 20	E) 25

Solution: Cone slant height (l) = √r(power2)+h(power2)   = √64+36 = 10 m.   Answer is 10.
Answer: B
What is the length of a running train P crossing another running train Q?
I.These two trains take 18 seconds to cross each other.
II.These trains are running in opposite directions.
III.The length of the train Q is 180 metres.  Choose one:	A) I only	B) II only	C) III only	D) All I, II and III are required	E) Even with I, II and III, the answer cannot be obtained.

Solution: Explanation:   Let the length of the train P be x metres.   II. These trains are running in opposite directions.   III. Length of the train Q is 180 m.   I.Time taken by P to cross Q = (180 + x)/Relative speed   18 = (180 + x)/Relative speed   Thus, even with I, II and III, the answer cannot be obtained.   Answer is (Even with I, II and III, the answer cannot be obtained.).
Answer: E
In a box, there are 3 blue, 7 white and 4 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?  Pick.
A) 4/14 B) 5/16 C) 8/32 D) 2/32 E) 9/32

Solution: Total number of bulbs = (3 + 7 + 4)= 
(3 + 7 + 4) = 14
14.   Let E= event that the bulb drawn is neither white nor blue = event that the bulb drawn is yellow.   Therefore, P(E)=4/14   4/14NSWER:4/14
Answer: A
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?	Choose the correct choice from the following choices:
A) 19	B) 27	C) 29	D) 47	E) 28

Solution: Let the length of the train be x m.   When a train crosses an electric pole, the distance covered is its own length.   So, x = 12 * 36 * 5 /18= 
12 * 36 * 5 /18 = 120
120 m.   Time taken to cross the platform= (120 +350)/ 36 * 5/18   = 47 min.   Answer:47
Answer: D
A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is?
Choose the most appropriate option:
A) 16 B) 18 C) 17 D) 12 E) 12

Solution: Suppose he has 100 items. Let C.P. of each item be Re. 1.   Total cost = Rs. 100. Number of items left after theft = 80.   S.P. of each item = Rs. 1.10   Total sale = 1.10 * 80 = Rs. 88   Hence, loss % = 12/100 * 100= 
12/100 * 100 = 12
12%   Answer: 12
Answer: D
John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 45 miles per hour, what is v in miles per hour? Select: A) 30 B) 40 C) 50 D) 55 E) 70

Solution: HiBunuel   THe question seems incorrect. it should not be 80% at the speed of 80. However if it's 20% at the speed of 80, Answer comes out 55.   The question is correct. Here's the explanation:   Let distance be D. We can find the total timeequate it, which comes as:   0.8D / 80 + 0.2D / v = D / 40 => v = 40 (Option 40).
Answer: B
Tabby is training for a triathlon. She swims at a speed of 1 mile per hour. She runs at a speed of 9 miles per hour. She wants to figure out her average speed for these two events. What is the correct answer for her?
Choose the most appropriate option:	A) 8 mph	B) 5.25 mph	C) 3.5 mph	D) 5 mph	E) 0.5 mph

Solution: (1 mph +9 mph)/2 = 5 mph   Correct option is: 5 mph
Answer: D
On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 50 percent of the sales representatives prefer to stay at Hotel XYZ and 50 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?	Choose the correct choice from the following answers.
A) 32
B) 36
C) 42
D) 48
E) 51

Solution: 18 people stay in XYZ and 42 people stay in ABC.   30 people want to stay in XYZ and 30 people want to stay in ABC.   Let's put all 30 people who prefer XYZ in hotel ABC.   Then 18 people who prefer ABC will stay in XYZ.   The highest possible number who are not given their preference is 30+18= 
30+18 = 48
48.   The answer is 48.
Answer: D
In a certain province in America there are 15 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
Choose the correct choice from the following options:
A) 30	B) 105	C) 330	D) 14!	E) 15!

Solution: Method-1:   America has Total Cities = 15 and each city should be connected with every other city   So Total Roads required to connect 1st City with other 14 cities = 14   Now 1st City is connected with all other cities so,   So Total Roads required to connect 2nd City with 13 cities (Other than 1st) = 13   Now 1st and 2nd Cities are connected with all other cities so,   So Total Roads required to connect 3rd City with 12 cities (Other than 1st, and 2nd) = 12   ......and so on...   Total Roads required = 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1= 
14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 105
105=105
Answer: B
A certain tax rate is $65 per $100.00. What is the rate, expressed as a percent?  Choose one:	A) 82%	B) 6.5%	C) 0.82%	D) 65%	E) 0.0065%

Solution: Here in question it is asking $65 is what percent of $ 100.Suppose $ 65 is x% of 100 means   100* (x/100) = 65   Hence x = 65   So answer is 65%
Answer: D
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 10 people all together .how many people can sit in a bus?
Options:
A) 52  B) 49  C) 91  D) 88  E) 66

Solution: Right Side =15 seat   Left Side =15-3 (3 few seat in right side)= 12 seat   Total= 15+12= 
15+12 = 27
27   People can seat in 27 seat= 27*3= 
27*3 = 81
81   People can seat in Last Seat= 10   Total People can seat= 81+10= 
81+10 = 91
91   ANSWER:91
Answer: C
Carl can wash all the windows of his house in 6 hours. His wife Maggie can wash all the windows in 6 hours. How many hours will it take for both of them working together to wash all the windows?	Choose the correct answer:
A) 2 B) 2 1/4 C) 3 D) 4 1/2 E) 5

Solution: Work hrs=AB/(A+B)= 36/12= 
36/12 = 3
3   Answer is 3
Answer: C
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:	Select the correct option:
A) 276
B) 299
C) 322
D) 345
E) 312

Solution: Explanation:   Clearly, the numbers are (23 x 13) and (23 x 14).   Larger number = (23 x 14) = 322.   ANSWER IS 322
Answer: C
In "Clash Royal" App Game, Warrior "The Bomber" is a very good defensive options. It can be purchased from the card shop.
The cost of the bomber is quite interesting.
The Cost of 1st bomber is: 2
The Cost of 2nd bomber is: 4
The Cost of 3rd bomber is: 6
The Cost of 4th bomber is: 8
The Cost of 5th bomber is: 10
i.e to buy 5 bombers you need 2+4+6+8+10 = 30 coins.
How many bombers can you buy using 1000 coins ? ? Choose the correct answer:
A) 47
B) 53
C) 62
D) 71
E) 75

Solution: The 62ost of 1st bomber is: 2 i.e Total coins spend: 2   The 62ost of 2nd bomber is: 4 i.e Total coins spend: 6   The 62ost of 3rd bomber is: 6 i.e Total coins spend: 12   The 62ost of 4th bomber is: 8 i.e Total coins spend: 20   The 62ost of 5th bomber is: 10 i.e Total coins spend: 30   The 62ost of 6th bomber is: 12 i.e Total coins spend: 42   The 62ost of 7th bomber is: 14 i.e Total coins spend: 56   The 62ost of 8th bomber is: 16 i.e Total coins spend: 72   The 62ost of 9th bomber is: 18 i.e Total coins spend: 90   The 62ost of 10th bomber is: 20 i.e Total coins spend: 110   The 62ost of 11th bomber is: 22 i.e Total coins spend: 132   The 62ost of 12th bomber is: 24 i.e Total coins spend: 156   The 62ost of 13th bomber is: 26 i.e Total coins spend: 182   The 62ost of 14th bomber is: 28 i.e Total coins spend: 210   The 62ost of 15th bomber is: 30 i.e Total coins spend: 240   The 62ost of 16th bomber is: 32 i.e Total coins spend: 272   The 62ost of 17th bomber is: 34 i.e Total coins spend: 306   The 62ost of 18th bomber is: 36 i.e Total coins spend: 342   The 62ost of 19th bomber is: 38 i.e Total coins spend: 380   The 62ost of 20th bomber is: 40 i.e Total coins spend: 420   The 62ost of 21st bomber is: 42 i.e Total coins spend: 462   The 62ost of 22nd bomber is: 44 i.e Total coins spend: 506   The 62ost of 23rd bomber is: 46 i.e Total coins spend: 552   The 62ost of 24th bomber is: 48 i.e Total coins spend: 600   The 62ost of 25th bomber is: 50 i.e Total coins spend: 650   The 62ost of 26th bomber is: 52 i.e Total coins spend: 702   The 62ost of 27th bomber is: 54 i.e Total coins spend: 756   The 62ost of 28th bomber is: 56 i.e Total coins spend: 812   The 62ost of 29th bomber is: 58 i.e Total coins spend: 870   The 62ost of 30th bomber is: 60 i.e Total coins spend: 930   The 62ost of 31st bomber is: 62 i.e Total coins spend: 992   correct answer is 62)62
Answer: C
Which of the following has 12^60 as a factor?  Select the correct option:
A) 24^60
B) 30^40
C) 40^80
D) 60^60
E) 90^80

Solution: Here 12^60 = 3^60 * 4^60 Only Option A has both .   Smash 24^60
Answer: A
In a group of 150 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?
Choose the correct answer
A) 0.4
B) 0.5
C) 0.65
D) 0.75
E) 0.85

Solution: Number of people whose age is less than 20 is given by   150 - 90= 
150 - 90 = 60
60   Probability P that a person selected at random from the group is less than 20 is given by   60 / 150= 
60 / 150 = 2/5 = around 0.4
0.4   correct answer 0.4
Answer: A