MU-NLPC/Calc-aqua_rat huggingface dataset:
A is thrice as good as B. A is able to finish a job in 60 days less than B.Theycan finish the work in how many days if they work together.	Choices: A) 21 days B) 21 ½ days C) 22 days D) 22 ½ days E) 23 ½ days

Solution: If A completes a work in 1 day, B completes the same work in 3 days   Hence, if the difference is 2 days, B can complete the work in 3 days   => if the difference is 60 days, B can complete the work in 90 days   => Amount of work B can do in 1 day= 1/90   Amount of work A can do in 1 day = 3 × (1/90) = 1/30   Amount of work A and B can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45   => A and B together can do the work in 45/2 days = 22 ½ days   22 ½ days
Answer: D
If
1 = 6 ,
2 = 12 ,
3 = 18,
4 = 24,
5 = 30,
Then 6 = ? Choose one: A) 5 B) 3 C) 1 D) 7 E) 9

Solution: Solution:   1   As stated   1=6 => 6=1   Answer 1
Answer: C
On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every six minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?
Choose the correct choice.
A) 25%  B) 50%  C) 75%  D) 100%  E) 150%

Solution: Dolphin once in 3 min;   Beluga once in 6 min;   So, dolphin comes up 2 times frequently than beluga, which is 150% (6-3)/2*100.   Answer: 150%.
Answer: E
There are 8 cars parked in the lot 5 red and 3 blue, James threw two stone at the cars and three of the cars were hit, what is the probability that a stone did not hit any red car provided each stone hit one different car?.	Choices:
A) 2/3  B) 2/5  C) 5/28  D) 3/5  E) 3/28

Solution: Since there were 5 red cars, the subset from which the 2 car hit should be chosen are the 3 blue cars from the universe of 8,   The first car can be one of the 3 from the 8 with probability 3/8.   The second car can be one of the 2 from the 7 remaining with probability 2/7.   The total probability will be 3/8 × 2/7. On cancellation, this comes to 3/28   Thus, the answer is 3/28 - 3/28
Answer: E
The cost price of a radio is Rs.1590 and it was sold for Rs.1450, find the loss %?
Select
A) 8%  B) 12%  C) 10%  D) 14%  E) 21

Solution: 1590 ---- 140   100 ---- ? => 8%   8%nswer:8%
Answer: A
A sum of money at simple interest amounts to Rs. 824 in 3 years and to Rs. 854 in 4 years. The sum is:  Choose the most appropriate option.
A) 500
B) 698
C) 780
D) 910
E) 725

Solution: Sol.   S.I. for 1 year = Rs. (854 - 824) = Rs. 30.   S.I. for 3 years = Rs. (30 * 3) = Rs. 90.   âˆ´ Principal = Rs. (815 - 90) = Rs. 725   Answer 725
Answer: E
A driver covers a certain distance by car driving at 60 km/hr and returns back to the starting point riding on a scooter at 15 km/hr. What was the average speed for the whole journey? Select the correct option:
A) 20 km/h
B) 22 km/h
C) 24 km/h
D) 26 km/h
E) 28 km/h

Solution: time 1 = d / 60   time 2 = d / 15   total time = d/60 + d/15 = 5d/60 = d/12   average speed = total distance / total time = 2d / (d/12) = 24 km/h   The answer is 24 km/h.
Answer: C
In a class of 250 students, on JAN 2 15% of the girls and 10% of the boys are absent. If on 100% attendance there are 10 boys. Find the percentage present?
Choose the correct choice from the following answers:	A) 81.2%	B) 82.2%	C) 84.2%	D) 85.2%	E) 86.2%

Solution: The reason is explained below:   on 100% attendance,toital no of boys=10   that means there are 240 girls and 10 boys in a class   if 10% boys are absent, then it means that 1 boy is absent   if 15% of girls are absent, then it means that   (15/100)*240= 
  (15/100)*240 = 36
36 girls are absent   therefore no of students present=250-(1+36)=250-37= 
250-37 = 213
213   % of no of students present=(213/250)*100= 
(213/250)*100 = 426/5 = around 85.2
85.2%   ANSWER:85.2%
Answer: D
If two typists can type two pages in two minutes, how many typists will it take to type 25 pages in five minutes?
Choose the correct option:
A) 3 B) 4 C) 10 D) 12 E) 36

Solution: In 2 minutes 2 typists type 2 pages which means that in 5 minutes they will type 5 pages but to type 25 pages (5 times) we need 5 times more typists i.e. 2 x 5 = 10 typists.   10
Answer: C
A restaurant meal cost $32.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between	Choices:
A) $40 and $42  B) $39 and $41  C) $38 and $40  D) $36 and $38  E) $36 and $37

Solution: The total amount for the meal was between 32.5*1.1= 
32.5*1.1 = 35.75
35.75 and 32.5*1.15=37.375. Only option which covers all possible values of the meal is D.   Answer: $36 and $38.
Answer: D
Tap 'A' can fill the tank completely in 4 hrs while tap 'B' can empty it by 8 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the tapes, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onward, would the tank be full?	Choose the most appropriate option.
A) 2
B) 3
C) 1/2
D) 1/4
E) 5

Solution: Explanation :   Rate of filling tap A = 1/4 per hr   Rate of emptying of tap B = 1/8 per hr   When both the taps remain open, the effective rate of filling   = 1/4 - 1/8 = 1/8 of the tank   Hence in 4 hr, the tank must have been full to the   Extent of 4 x 1/8 = 1/2 Capacity   Remaining volume = 1/2 capacity   Now emptying tap is closed rate of filling would be 1/4 per hr   Time reqd. to fill = Empty volume/Filling rate   = (1/2)/(1/4)= 
(1/2)/(1/4) = 2
2 hrs   2nswer : 2
Answer: A
A parking garage rents parking spaces for $10 per week or $40 per month. How much does a person save in a year by renting by the month rather than by the week?	Choose the correct choice from the following answers.
A) $40 B) $160 C) $220 D) $240 E) $260

Solution: 10$ per week!   An year has 52 weeks.   Annual charges per year = 52* 10= 
52* 10 = 520
520$   30$ per month!   An year has 12 months.   $40nnual charges per year= 12 * 40= 
12 * 40 = 480
480$    520 - 480= 
 520 - 480 = 40
40   $40ns $40
Answer: A
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}	Choose the correct option:
A) 68 B) 67 C) 25 D) 27 E) 60

Solution: The given digits are 1, 2, 3, 5, 7, 9   A number is even when its units digit is even. Of the given digits, two is the only even digit.   Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.   Number of even numbers = ⁵P₃ = 60.   Answer: 60
Answer: E
A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 36.Find the number of notes of Rs.50 denomination. Select the correct option:	A) 15	B) 21	C) 17	D) 19	E) 21

Solution: Total Money = Rs. 10350.   Let 50 rupees note was X.   Then 500 rupees note = 36 - X   Now,   50*X + 500 * (36 - X) = 10350   50X + 18000 - 500X = 10350   - 450X = - 7650   X = 17.   No. of 50 rupees note = 17.   Answer: Option 17
Answer: C
A bowl of fruit contains 10 apples and 23 oranges. How many oranges must be removed so that 50% of the pieces of fruit in the bowl will be apples?
Select the correct option:	A) 3	B) 13	C) 14	D) 17	E) 20

Solution: Number of apples = 10   number of oranges = 23   let number of oranges that must be removed so that 50% of pieces of fruit in bowl will be apples = x   Total number of fruits after x oranges are removed = 10+(23-x) = 33-x   10/(33-x) = 5/10   =>20 = 33-x   =>x= 13   Answer 13
Answer: B
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?  Choose the correct answer:
A) 143600 m
B) 145600 m
C) 153600 m
D) 154354 m
E) 156778 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m   153600 m
Answer: C
20 litres of mixture contains 20% alcohol and the rest water. If 3litres of water be mixed with it, the percentage of alcohol in the new mixture would be?	Choose one.
A) 16.67%	B) 23%	C) 18.3%	D) 19.75%	E) 17.4%

Solution: Alcohol in the 20litres of mix. = 20% of 20litres = (20*20/100)= 
(20*20/100) = 4
4litres   water in it= 20-3= 
20-3 = 17
17litres   new quantity of mix.= 20+3= 
20+3 = 23
23 litres   Quantity of alcohol in it= 4litres   Percentage of alcohol in new mix. = 4*100/23 = 17.4%   Answer is 17.4%
Answer: E
The average age of husband, wife and their child 3 years ago was 30 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is	Pick one
A) 35 years  B) 49 years  C) 50 years  D) 55 years  E) None

Solution: Solution   Sum of the present ages of husband, wife and child	= (30x3+3x3) years   = 99 years.   Sum of the present ages of wife and child	= (20x2+5x2) years   = 50 years.   âˆ´ Husband's present age	= (99 - 50)= 
(99 - 50) = 49
49 years.   Answer 49 years
Answer: B
Seven white balls and three black balls are randomly placed in a row. Find the probability that no two black balls are placed adjacently to each other.  Choose the correct choice from the following choices:
A) 7/15  B) 2/15  C) 3/7  D) 2/7  E) 1/7

Solution: The total ways of placing seven white balls and three black balls in a row = 10! / 7! / 3! = 120.   The number of ways in which no two black balls are placed next to each other:   Assume that seven white balls are placed in a continuous line with gaps before and after each ball. There are totally 8 such gaps. Out of these 8 gaps, 3 gaps should be chosen in order to place the black balls. There are a total of 8C3 = 56 ways in which this can be done.   Hence, the required probability = 56/120 = 7/15.   7/15NSWER:7/15
Answer: A
A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.	Choices
A) 360, 160, 200 B) 160, 360, 200 C) 200, 360,160 D) 200,160,300 E) None of these

Solution: Explanation:   let ratio be x.Hence no. of coins be 5x ,9x , 4x respectivelyNow given total amount = Rs.206=> (.50)(5x) + (.25)(9x) + (.10)(4x) = 206we get x = 40=> No. of 50p coins = 200   => No. of 25p coins = 360   => No. of 10p coins = 160 Answer: 200, 360,160
Answer: C
A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 9 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate?	Answers:
A) 11/20
B) 2/5
C) 1/2
D) 3/5
E) 3/4

Solution: x * 6/100 * 1 + (20000 - x) * 9/100 * 1 = 1440   6x - 8x = 144000 - 180000   => -2x = -18000   => x = 9000   So 11000/20000 = 11/20   11/20nswer - 11/20
Answer: A
The average height of 35 boys in a class was calculated as 185cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).?	Choose the most appropriate option:
A) 178.27 cm
B) 183.29 cm
C) 978.29 cm
D) 178.89 cm
E) 176.29 cm

Solution: Calculated average height of 35 boys = 185 cm.   Wrong total height of 35 boys = 185 * 35 cm. This was as a result of an actual height of 106 cm being wrongly written as 166 cm. Correct total height of 35 boys = 185 cm - (166 cm - 106 cm)/35   =185 cm - 60 /35 cm   = 185 cm - 1.71 cm = 183.29 cm.   Answer: 183.29 cm
Answer: B
How many numbers from 12 to 82 are exactly divisible by 6? Choose the correct choice from the following choices
A) 5
B) 7
C) 9
D) 11
E) 12

Solution: Option '11'    12/6= 
 12/6 = 2
2 and 82/6= 13 ==> 13 - 2= 
13 - 2 = 11
11 Numbers
Answer: D
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:  Choose the most appropriate option: A) Rs. 650 B) Rs. 690 C) Rs. 698 D) Rs. 700 E) Rs. 760

Solution: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.   S.I. for 3 years = Rs.(39 x 3) = Rs. 117.   Principal = Rs. (815 - 117) = Rs. 698.   Answer: Option Rs. 698
Answer: C
2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 3/4 of the red fish and 2/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male?
Choose the correct choice from the following options.
A) 1/2  B) 1/4  C) 2/5  D) 3/10  E) 7/20

Solution: 3/4*2/5 + 2/5*1/4 = 2/5   The answer is 2/5.
Answer: C
Jennifer had $30 to spend on herself. She spent 1/5 of the money on a sandwich, 1/6 for a ticket
to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?  Choose the correct choice from the following answers
A) $4  B) $14  C) $5  D) $15  E) $0

Solution: 1/5 x $30 = $6 for sandwich   1/6 x $30 = $5 for museum   1/2 x $30 = $15 for book   $6 + $5 + $15 = $26 spent   $30 - $26  6 +  5 +  15= 
 6 +  5 +  15 = 26
$26 spent   $30 - $26 = $4 left over   correct answer $4 30 -  26= 
 30 -  26 = 4
$4 left over   correct answer $4
Answer: A
Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $146 million, which represented 8 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
Choose one.
A) 7,010 B) 2,100 C) 1,825 D) 1,701 E) 210

Solution: 8% ---- 146 millions   for 100% => ( 146 * 100% )/8% = 1825.   Option 1,825.( 146 * 100  )/8= 
( 146 * 100  )/8 = 1_825
1825.   Option 1,825.
Answer: C
Train R leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
Select the correct option:
A) 8:15 am B) 8:45 am C) 9:00 am D) 9:30 am E) Cannot be determined from the information given

Solution: train R will cover 60 kms in 45 min at 7:45, the time when train B starts...   distance left to cover is 210-60=150..   combined speed=80+70=150..   so the trains meet in 1 hour i.e. 7:45 + 1 hr=8:45   8:45 am
Answer: B
A company has 50 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Six employees have done just two courses and only one made ​​the three courses. How many employees have no training?
Choose the correct choice from the following answers
A) A)7
B) B)9
C) C)10
D) D)11
E) E)26

Solution: Total employees=50   studied accounting=22   studied finance=15   studied marketing=14   6 employees have been double counted and one employee has been counted thrice.   Therefore employees who have received training=22+15+14-6-(2*1)   =51-8= 
51-8 = 43
43   Employees with no training=50-43= 
50-43 = 7
7   7ns=7
Answer: A
A car takes 6 hours to cover a distance of 270 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Answers
A) 60
B) 50
C) 40
D) 70
E) 30

Solution: Time = 6   Distance = 270   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 270/9= 
270/9 = 30
30 Kmph   Answer 30.
Answer: E
Calculate Renee's average score in an exam if she obtained the following marks 71, 57, 61, 80 and 88 out of 100 in different subjects. Choose the correct choice from the following options:
A) 71.9  B) 73.4  C) 72.4  D) 71.4  E) 70.4

Solution: Explanation:   (71+57+61+80+88)/5= 
(71+57+61+80+88)/5 = 357/5 = around 71.4
71.4   Answer: Option 71.4
Answer: D
how many different digit number are there which have digit 1,2,3,4,5,6,7,8, such that digit 1 appears exactly once ?  Choices.
A) 4C1 * 7^2
B) 4C1 * 7^3
C) 4C1 * 7^4
D) 4C1 * 7^5
E) 4C1 * 7^6

Solution: Digit 1 can appear in any of the 4 positions of a 4 digit number => 4C1   Further,as repetition is allowed,the othe three digits can have any of the remaining 7 numbers   So total no of different 4 digit numbers possible = 4C1 * 7 * 7 *7 = 4C1 * 7^3   ANSWER:4C1 * 7^3
Answer: B
A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?  Choose one
A) 3.99 sq m  B) 3.34 sq m  C) 2.98 sq m  D) 2.98 sq m  E) 8.29 sq m

Solution: Area of the path = Area of the outer circle - Area of the inner circle   = ∏{4/2 + 25/100}2 - ∏[4/2]2   = ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2   = (a - b)(a + b) }   = (3.14)(1/4)(17/4) = 53.38/16   = 3.34 sq m   Answer:3.34 sq m
Answer: B
Williams works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 10 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?	Pick:
A) 5/8 B) 7/8 C) 6/8 D) 2/9 E) 1/7

Solution: First notice the number of months for which he worked - March to Sept i.e. 7 months   5/8vg of monthly totals in tips for months other than 5/8ugust = x   Tips in 5/8ugust = 10x   Total tips for all months = 6*x + 10x = 16x   Tips for 5/8ugust/Total tips for all months = 10x/16x = 5/8   5/8nswer : 5/8
Answer: A
The product of three consecutive odd numbers is 9177. What is the sum of the
numbers?
Choose the correct choice:
A) 51 B) 57 C) 60 D) 63 E) 69

Solution: Since 20 20 20 = 8000 and 30 30 30 = 27 000, then we might guess that the three   consecutive odd numbers whose product is 9177 are closer to 20 than they are to 30.   Using trial and error, we determine that 21 23 25 = 12 075, which is too large.   The next smallest set of three consecutive odd numbers is 19; 21; 23 and the product of these   three numbers is 19 21 23 = 9177, as required.   Thus, the sum of the three consecutive odd numbers whose product is 9177 is  19+21+23= 
 19+21+23 = 63
63.   correct answer 63
Answer: D
In how many ways a team of 11 must be selected from 5 men and 11 women such that the team must comprise of not more than 3 men?
Choose one: A) 3337 B) 2456 C) 7887 D) 2777 E) 2911

Solution: The team may consist of 0 men + 11 women, 1 men + 10 women, 2 men + 9 women, or 3 men + 8 women.   So Number of ways are = 11C11+5C1×11C10+5C2×11C9+5C3×11C8   = 2456   Answer:2456
Answer: B
We can create number 100 by using all numbers, i.e.0123456789 and mathematical operators (+/-) in many ways.
Example
98 + 7 + 6 - 5 - 4 - 3 + 2 - 1 = 100
But if we add a condition that the use of the number 21 is the must. Then there are only a few solutions.
One of such solution is:
98 - 7 - 6 - 5 - 4 + 3 + 21 = 100
Can you tell any other solution?
Pick:
A) 7 - 8 + 76 - 5 + 4 + 3 + 21 = 100  B) 8 - 8 + 76 - 5 + 4 + 3 + 21 = 100  C) 9 - 8 + 76 - 5 + 4 + 3 + 21 = 100  D) None of these  E) Cannot be determined

Solution: Solution:   9 - 8 + 76 - 5 + 4 + 3 + 21= 
9 - 8 + 76 - 5 + 4 + 3 + 21 = 100
100   Other ways of making number 100 (withiout using number 32)   98 + 7 + 6 - 5 - 4 - 3 + 2 - 1= 
98 + 7 + 6 - 5 - 4 - 3 + 2 - 1 = 100
100   98 - 7 - 6 - 5 - 4 + 3 + 21= 
98 - 7 - 6 - 5 - 4 + 3 + 21 = 100
100   9 - 8 + 76 - 5 + 4 + 3 + 21= 
9 - 8 + 76 - 5 + 4 + 3 + 21 = 100
100   98 - 7 + 6 + 5 + 4 - 3 - 2 - 1= 
98 - 7 + 6 + 5 + 4 - 3 - 2 - 1 = 100
100   98 + 7 - 6 + 5 - 4 + 3 - 2 - 1= 
98 + 7 - 6 + 5 - 4 + 3 - 2 - 1 = 100
100   98 + 7 - 6 + 5 - 4 - 3 + 2 + 1= 
98 + 7 - 6 + 5 - 4 - 3 + 2 + 1 = 100
100   98 - 7 + 6 + 5 - 4 + 3 - 2 + 1= 
98 - 7 + 6 + 5 - 4 + 3 - 2 + 1 = 100
100   98 - 7 + 6 - 5 + 4 + 3 + 2 - 1= 
98 - 7 + 6 - 5 + 4 + 3 + 2 - 1 = 100
100   98 + 7 - 6 - 5 + 4 + 3 - 2 + 1= 
98 + 7 - 6 - 5 + 4 + 3 - 2 + 1 = 100
100   98 - 7 - 6 + 5 + 4 + 3 + 2 + 1= 
98 - 7 - 6 + 5 + 4 + 3 + 2 + 1 = 100
100   9 + 8 + 76 + 5 + 4 - 3 + 2 - 1= 
9 + 8 + 76 + 5 + 4 - 3 + 2 - 1 = 100
100   9 + 8 + 76 + 5 - 4 + 3 + 2 + 1= 
9 + 8 + 76 + 5 - 4 + 3 + 2 + 1 = 100
100   Answer  9 - 8 + 76 - 5 + 4 + 3 + 21= 
 9 - 8 + 76 - 5 + 4 + 3 + 21 = 100
100
Answer: C
The average age of a committee of 8 members is 40 years. A member aged 59 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is;	Choose the correct choice from the following answers:
A) 39 years
B) 38 years
C) 37.5 years
D) 35 years
E) 34 years

Solution: Exp. Total age of the committee = 40*8= 
40*8 = 320
320,   Total age when a member is retired   and a new one was joined= 320-59 +39, =300   Average age of present committee = 300/8 = 37.5.   Answer: 37.5 years
Answer: C
In how many ways a committee consisting of 3 men and 2 women can be formed from 5 men and 3 women?	Options.
A) A)30
B) B)15
C) C)20
D) D)18
E) E)21

Solution: Required number of ways = 5C3*3C2 = 10*3= 
10*3 = 30
30   30nswer is 30
Answer: A
One man traveled a distance of 61 km in 9hrs. He traveled partly on footat 4 km/hr and partly on bicycle ta 9 km/hr. The distance traveled on foot is?
Choose one:  A) 15 km  B) 14 km  C) 16 km  D) 20 km  E) 21 km

Solution: Let the distance travelled on foot be x km.   Then, distance travelled on bicycle = (61 -x) km.   So, x + (61 -x) = 9   4 9   9x + 4(61 -x) = 9 x 36   5x = 80   x = 16 km.   16 km
Answer: C
Each factor of 150 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 15?	Choose the correct answer:	A) 1/16	B) 5/42	C) 1/8	D) 3/16	E) 1/3

Solution: the # of factors 150 has is 12   so out of 12 factors only four are multiples of 15: 15, 30,75 and 150, itself;   So, the probability is 4/12=1/3.   Answer: 1/8.
Answer: C
The side of a square is increased by 10% then how much % does its area increases?
Choose the correct choice from the following options:
A) 21	B) 56.25	C) 50.75	D) 42.75	E) 52.75

Solution: a = 100 a2 = 10000   a = 110 a2 = 12100   ----------------   10000 --------- 2100   100 -------? => 21 %   21NSWER: 21
Answer: A
The average marks of a class of 30 students is 40 and that of another class of 50 students is 80. Find the average marks of all the students? Choose the most appropriate option:
A) 52.5  B) 52.9  C) 52.1  D) 52.3  E) 65

Solution: Sum of the marks for the class of 30 students = 30 * 40= 
30 * 40 = 1_200
1200   Sum of the marks for the class of 50 students= 50 * 80= 
50 * 80 = 4_000
4000   Sum of the marks for the class of 80 students=   1200 + 4000= 
1200 + 4000 = 5_200
5200   Average marks of all the students= 5200/80= 
5200/80 = 65
65   Answer:65
Answer: E
Anne traveled from City A to City B in 4 hours, and her speed was between 35 miles per hour and 50 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 50 miles per hour and 90 miles per hour. Which of the following could be the distance, in miles, from City A to City B?  Choose the most appropriate option:
A) 95  B) 115  C) 125  D) 135  E) 170

Solution: In four hours Anne must travel 4 times her speed   so Anne's possible distances =   4(35 -50) or 140-200 miles   in two hours John travels 2 times his speed or   2(50-90) or 100-180 miles   the statement is only true if both distances are possible,   so you can tell its between or equal to   140-180   170 is the answer.
Answer: E
Two trains 130 meters and 160 meters long are running in the same direction with speeds of 85 km/hr, 67km/hr. In how much time will the first train cross the second Choices: A) 62 sec B) 55 sec C) 58 sec D) 60 sec E) 65 sec

Solution: Explanation:   Relative speed of the trains = (85 - 67) km/hr = 18 km/hr   = (18Ã— 5/18) m/sec = 5 m/sec.   Time taken by the trains to cross each other   = Time taken to cover (150 + 160) m at 5 m /sec = (310/5)= 
(310/5) = 62
62 sec.   62 secnswer: Option 62 sec
Answer: A
A beaker contains 180 lts of wine. Each day 60lts of wine is replaced with same amount of water what is the amount of wine after 3 days?
Pick one:	A) 160/3	B) 170/3	C) 180/3	D) 190/3	E) 200/3

Solution: wine left= total wine*(1-capacity of wine withdrawn/total wine)^n   wine left=180*(1-60/180)^3   =160/3   160/3NSWER:160/3
Answer: A