MU-NLPC/Calc-aqua_rat huggingface dataset:
Calculate the average marks of a student who obtained 56, 60, 72, 85 and 80 marks (out of 100) in Geography, History and Government, Art, Computer Science and Modern Literature ? Pick one
A) 71.6
B) 70.6
C) 80.6
D) 60.6
E) 50.6

Solution: Explanation:   Average = (56+60+72+85+80 )/ 5 = 70.6.   Answer: 70.6) 70.6
Answer: B
If 20,371 + x is a multiple of 4, which of the following could be the value of x? Choose the correct choice from the following choices:
A) 1  B) 2  C) 3  D) 4  E) 6

Solution: Sum of the digits of 20,371 is  2+0+3+7+1= 
 2+0+3+7+1 = 13
13   Now 13 is not a multiple of 4, the next multiple of 4 close to 13 is 16, which is 3 added to 13.   So the least number to be added to 20,371 is 3.   3
Answer: C
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:  Choose the correct choice:
A) 2377 B) 1683 C) 2677 D) 9972 E) 1611

Solution: Explanation:   L.C.M. of 5, 6, 7, 8 = 840.   {\color{Blue} \therefore } Required number is of the form 840k + 3   Least value of k for which (840k + 3) is divisible by 9 is k = 2.   {\color{Blue} \therefore } Required number = (840 x 2 + 3) = 1683.   Answer: 1683) 1683
Answer: B
Plane leaves from Chelsea every 50 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m.
At what time air hostess convey this information to Frank Lampard? Choose the correct choice from the following options:
A) 6:35 pm
B) 4:35 pm
C) 4:35 pm
D) 7:35 pm
E) 8:35 pm

Solution: 6:35 pm   6:35 pm   Time of Frank Lampard last missed plane = 7:00 p.m - 50 min = 6:10 p.m   6:35 pms this information has been given to Frank Lampard 15 minutes after the plane has already left, the air hostess gave the information at 6:10 p.m + 25 min = 6:35 p.m
Answer: A
A number a is squared and then multiplied by negative 3. The result of this operation is equal to three times the sum of three times a and two. What is one possible value of a ?  Choose the correct answer.
A) -3  B) -2  C) 1  D) 2  E) 3

Solution: -3*a^2=3(3a+2)   a= -2 or -1   a=-2=B   ANSWER:2
Answer: D
The value of a machine depreciates at the rate of 10% per annum. If its present value is Rs. 81000, what will be its worth after 2 ears? What was the value of the machine 2 years ago?  Select the correct option:	A) Rs 65610,Rs 100000	B) Rs 64320,Rs 120000	C) Rs 60000,Rs 90000	D) Rs 72690,Rs 95700	E) None of thsee

Solution: Explanation :   Solution: Value of the machine after 2 years = Rs.[81000(1 - 10/100)^2]   = Rs. 81000*9/10 * 9/10 = Rs. 65610.   Value of the machine 2 years ago = Rs. 81000/(1 - 10/100)^2   = Rs. 81000 * 10/9 * 10/9 = Rs. 100000   Rs 65610,Rs 100000nswer : Rs 65610,Rs 100000
Answer: A
The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 20%. What is the mark up on the cost price?
Choose the correct choice from the following options.
A) 40%	B) 8%	C) 25%	D) 16.66%	E) 9%

Solution: Original cost before weight adjustment: X   Cost after 90% weight adjustment: 9/10 X   20% profit on 9/10X: (120/100)(9/10)(X) or 108X/100   Mark up on original cost of X: (108X/100)/X-1 = 8/100   ANSWER:8%
Answer: B
What is the probability of getting a number less than 4 when a die is rolled?	Pick one:
A) 5/5
B) 1/2
C) 5/1
D) 5/7
E) 5/2

Solution: Total number of outcomes possible when a die is rolled = 6 (∵ any one face out of the 6 faces)   i.e., n(S) = 6   E = Getting a number less than 4 = {1, 2, 3}   Hence, n(E) = 3   The probability = 3/6 = 1/2.   Answer: 1/2
Answer: B
There are a total of 17 students in Mr. David's gym class. Over the course of a badminton unit, each of the 17 students will compete exactly once against every other student in the class. How many total games of badminton will be played? Select the correct option:	A) 138	B) 136	C) 190	D) 210	E) 153

Solution: there are 17 students , if each play with all other members .   then total games can be calculated as 16+15....+1 = 136.   alternate approach is to choose 2 distinct out of 17 = 17c2 = 136   Answer is 136.
Answer: B
A company organzied a help desk.there have been done 24 hrs work on software,17 hrs on help user nd 40% on other services.find the total no. of hrs have been worked on that day?
Pick.
A) 68 B) 69 C) 70 D) 67 E) 76

Solution: let total no of hrs = x   they have done 24+17= 
24+17 = 41
41   40% of x is 40/100=2/5   x=41+2x/5   x=68.3   68NSWER:68
Answer: A
Rs.4500 amounts to Rs.5544 in two years at compound interest, compounded annually. If the rate of the interest for the first year is 12%, find the rate of interest for the second year?  Options:  A) 100%  B) 1%  C) 10%  D) 0.1%  E) 0.01%

Solution: Let the rate of interest during the second year be R%. Given,   450 * {(100 + 12)/100} * {(100 + R)/100} = 5544   R = 1%   ANSWER:1%
Answer: B
In a kilometer race, A beats B by 200 meters or 10 seconds. What time does A take to complete the race? Choose the correct choice
A) 180 sec	B) 190 sec	C) 290 sec	D) 490 sec	E) 40 sec

Solution: Time taken by B run 1000 meters = (1000 * 10)/200= 
(1000 * 10)/200 = 50
50 sec.   Time taken by A= 50 - 10= 
50 - 10 = 40
40 sec.   Answer:40 sec
Answer: E
At what angle the hands of a clock are inclined at 15 minutes past 5?  Select the correct option.
A) 58 1/2 º B) 64º C) 67 1/2 º D) 72º E) 77º

Solution: Angle traced by hour hand in 21 hrs ={(360/12)x(21/4)}º =157 1/2 º Angle traced by min. hand in 15 min. ={(360/60)x 15}º = 90º. Required angle = 157 1/2	º - 90º = 67 1/2ºAnswer : 67 1/2 º
Answer: C
A, B and C enter into a partnership. They invest Rs. 50,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?	Choose the correct choice from the following answers:
A) 16 : 14 : 8  B) 15 : 16 : 28  C) 15 : 4 : 28  D) 3 : 4 : 1  E) 3 : 4 : 5

Solution: A : B : C = (50000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)   = 180 : 192 : 336   = 15 : 16 : 28.   Answer: 15 : 16 : 28
Answer: B
The average weight of 8 sailors in a boat is increased by 1 kg if one of them weighing 56 kg is replaced by a new sailor. The weight of the new sailor is?
Pick one
A) 57 kg B) 60 kg C) 64 kg D) 62 kg E) 66 kg

Solution: The sailor weighing 56 kg is replaced and the average is increased by 1 kg.   Hence, the weight of the new sailor is (56 + increase in total weight)   = 56 +1 x 8   = 56 + 8= 
56 + 8 = 64
64 kg.   ANSWER:64 kg
Answer: C
A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9 are wrong and the other digits are correct, then the correct answer would be:	Options:
A) 553681	B) 555181	C) 555681	D) 556581	E) 556881

Solution: 987 = 3 x 7 x 47   So, the required number must be divisible by each one of 3, 7, 47   553681->(Sum of digits = 28, not divisible by 3)   555181->(Sum of digits = 25, not divisible by 3)   555681 is divisible by 3, 7, 47   ANSWER 555681
Answer: C
Express of the following as a fraction:
45%	Choices
A) 14/25	B) 9/20	C) 9/40	D) 9/19	E) None of them

Solution: 45% = 45/100= 9/20.   Answer is 9/20.
Answer: B
39 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?  Choose the correct choice from the following answers
A) 24  B) 77  C) 26  D) 25  E) 13

Solution: Explanation:   Less Men, means more Days {Indirect Proportion}   Let the number of days be x   then,   27 : 39 :: 18 : x   [Please pay attention, we have written 27 : 39 rather than 39 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]   {\color{Blue} x=\frac{39\times 18}{27}}   x = 26   So 26 days will be required to get work done by 27 men.   Answer: 26
Answer: C
a light flashes every 30 seconds, how many times will it flash in ? of an hour?  Choose one
A) 550 B) 600 C) 650 D) 700 E) 120

Solution: 1flash=30sec   for 1 min=2flashes   so for 1 hour=2*60= 
2*60 = 120
120 flashes.   ANSW120R:120
Answer: E
A store has 10 bottles of juice, including 5 bottles of apple juice. In the evening, 6 bottles of juice are sold one by one. What is the probability of selling 4 bottles of apple juice among the 6 bottles? Assume that every bottle has an equal chance of being bought.	Choose the correct choice
A) 2/7	B) 3/11	C) 4/15	D) 5/21	E) 6/25

Solution: The total number of ways to sell 6 bottles from 10 is 10C6 = 210.   The number of ways to sell 4 bottles of apple juice is 5C4*5C2 = 5*10= 
5*10 = 50
50   P(selling 4 bottles of apple juice)= 50/210 = 5/21   The answer is 5/21.
Answer: D
Last year a worker saved 6% of her annual salary. This year, she made 20% more money than last year and she saved 5% of her salary. The amount she saved this year was what percent of the amount she saved last year?	Choose the correct choice from the following choices:  A) 90%  B) 100%  C) 110%  D) 120%  E) 130%

Solution: Let x be the worker's salary last year.   Last year, she saved 0.06x.   This year, she saved 0.05(1.2x)=0.06x   0.06x/0.06x=100%   The answer is 100%.
Answer: B
A call center has two teams. Each member of Team A was able to process 6/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B? Choose the correct choice from the following options:	A) 3/2	B) 3/4	C) 4/7	D) 1/2	E) 1/5

Solution: Let team B has 8 agents, so team A has 5 agents   Let each agent of team B picked up 5 calls, so total calls by team B = 40   So, each agent in Team A picked up 6 calls, so total calls for team A = 30   Fraction for team B = 40/(40+30) = 4/7 = Answer = 4/7
Answer: C
A train 520 meters long is running with a speed of 34 kmph. The time taken by it to cross a tunnel 280 meters long is?
Choose the correct choice:
A) 287 sec B) 89 sec C) 48 sec D) 16 sec E) 17 sec

Solution: D = 580 + 280 = 800   S = 34 * 5/18 = 9 mps   T = 800/9 = 89 sec   Answer: 89 sec
Answer: B
P is four times as fast as Q and working together, they can complete a work in 5 days. In how many days can Q alone complete the work?  Select the correct option:
A) 5 3/4 days B) 6 1/4 days C) 16 days D) 25 days E) 18 days

Solution: P = 4Q   P + Q = 4Q + Q = 5Q   These 5Q people can do the work in 5 days, which means Q can do the work in 25 days.   Hence, P can do the work in 6 1/4 days.   ANSWER:6 1/4 days
Answer: B
If y exceeds x by 60%, then x is less than y by?  Answers
A) 1/2%
B) 1/3%
C) 1/4%
D) 1/5%
E) 1/6%

Solution: X=100	y=160   160------60   100-------? => 37 1/2%   1/2%nswer:1/2%
Answer: A
The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
Choose the correct choice from the following choices:
A) 1:28
B) 1:27
C) 1:29
D) 1:39
E) 1:22

Solution: Explanation:   r1 : r2 = 1:3   r13 : r23 = 1:27   Answer: Option 1:27
Answer: B
A plane travels in the shape of equilateral triangle have sped of 20km/hr, 40km/hr and 60km/hr. Find the average speed of the palne.  Choices:
A) 42.73 km/h  B) 52.73 km/h  C) 32.73 km/h  D) 62.73 km/h  E) 72.73 km/h

Solution: average speed = total distance/total time taken   =(d+d+d)/[(d/20)+(d/40)+(d/60)] where d= side of eq. triangle   =3d/d[1/20 + 1/40 + 1/60]   =3*20*40*60/[20*40+40*60+20*60]   = 360/11 km/h   = 32.73 km/h   ANSWER:32.73 km/h
Answer: C
How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 8%? Choose the correct choice from the following options:
A) 0—1.5 gal	B) 1.5—3 gal	C) 3—4.5 gal	D) 4.5—6 gal	E) 6+ gal

Solution: Let amount of water that must be added in gallons to dilute concentration of brine solution = x   Amount of brine already present = 10/100 * 10= 
10/100 * 10 = 1
1 gallon   1/(10+x) *100= 8   =>100 = 80 + 8x   => x= 20/8= 
20/8 = 5/2 = around 2.5
2.5   Answer 1.5—3 gal
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Choose the correct choice from the following answers
A) 287
B) 699
C) 677
D) 300
E) 150

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 15 = 300 m   Answer: 300
Answer: D
In a kilometre race, A can give B a start of 100 m or 15 seconds. How long does A take to complete the race?  Choose the correct option:
A) 150 seconds
B) 165 seconds
C) 135 seconds
D) 66.67 seconds
E) 180 seconds

Solution: Explanatory Answer   In a 1000 metre race A gives B a start of 100 m or 15 seconds.   This essentially means that B takes 15 seconds to run 100 m.   Therefore, B will take 150 seconds to run the stretch of 1000 metres. (1000 m = 10 times 100 m and therefore the time taken will also be 10 times 15 seconds = 150 seconds).   As A gives B a start of 15 seconds, A obviously takes 15 seconds less than B to complete the race.   Hence, A will take 135 seconds to run the 1000 m.   Answer 135 seconds
Answer: C
Find the surface area of a cuboid 16 m long, 14 m broad and 7 m high  Select the correct option:
A) 868 sq.cm  B) 920 sq.cm  C) 727 sq.cm  D) 900 sq.cm  E) None of these

Solution: Explanation:   Surface area = [2 (16 x 14 + 14 x 7 + 16 x 7)] cm2 = (2 x 434)cm2 = 868 cm2.   868 sq.cmnswer: 868 sq.cm
Answer: A
A student took 6 courses last year and received an average (arithmetic mean) grade of 100 points. The year before, the student took 5 courses and received an average grade of 60 points. To the nearest tenth of a point, what was the student’s average grade for the entire two-year period? Pick one
A) 79	B) 89	C) 95	D) 81.81	E) 97.2

Solution: Let the 6 courses that were taken last year be A1 , A2, A3 , A4 , A5 , A6   A1+A2+A3+A4+A5+A6 = 100*6= 
100*6 = 600
600   The year before , the 5 courses be B1, B2 , B3 , B4 , B5   B1+B2+B3+B4+B5= 60*5= 
60*5 = 300
300   Student's average= (600+300)/11 = 81.81   Answer 81.81
Answer: D
The average weight of 40 girls sitting in a bus had some value. A new girl added to them whose weight was 60 kg only. Due to her arrival, the average weight of all the girls decreased by 20 kg. Find the average weight of first 40 boys?  Choose the correct choice from the following choices.
A) 850
B) 80
C) 176
D) 500
E) 880

Solution: 40x + 60 = 41(x â€“ 20)   x = 880   880
Answer: E
In how many ways 8 different tickets E can be distributed between Jane and Bill if each is to receive any even number of tickets and all 8 tickets to be distributed.  Choices:
A) From 2 to 6 inclusive.	B) From 98 to 102 inclusive.	C) From 122 to 126 inclusive.	D) From 128 to 132 inclusive.	E) From 196 to 200 inclusive.

Solution: Possibilities   J 8 6 4 2 0   B 0 2 4 6 8   # of ways 8C8 8C6 8C4 8C2 8C0   E=1+28+70+28+1= 
1+28+70+28+1 = 128
128 Answer is From 128 to 132 inclusive..
Answer: D
he ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?  Select the correct option.
A) 2:6
B) 2:9
C) 2:4
D) 2:1
E) 2:5

Solution: Let C.P. = Rs. 5x and S.P. = Rs. 7x.   Then, Gain = Rs. 2x   Required ratio = 2x : 5x = 2:5.   Answer:2:5
Answer: E
How many such letter-pairs are there in the word FRONTIER having same no. of letters left between them as they have in the series?
Choose the most appropriate option.
A) 2 B) 4 C) 1 D) 3 E) 5

Solution: We have to find whether for any letter-pair in this word, the same no. of letters exist between them in the alphabet series as that in this word.   So, consider ON - They are consecutive letters in the alphabet series as well as in this word.   Also consider NR - There exists 3 letter between them in the alphabets as O, P, Q. In this word also, there exists 3 letter between them (T, I, E).   So ans is 2   2NSWER:2
Answer: A
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Choose the correct choice from the following choices
A) Rs.12:29  B) Rs.18:90  C) Rs.16.28  D) Rs.16.50  E) Rs.82.09

Solution: Let the quantities of A and B mixed be 3x kg and 7x kg.   Cost of 3x kg of A = 9(3x) = Rs. 27x   Cost of 7x kg of B = 15(7x) = Rs. 105x   Cost of 10x kg of the mixture = 27x + 105x = Rs. 132x   Cost of 5 kg of the mixture = 132x/10x (5) = Rs. 66   Profit made in selling 5 kg of the mixture = 25/100 (cost of 5 kg of the mixture) = 25/100 * 66 = Rs. 16.50   Answer:Rs.16.50
Answer: D
A survey was sent to 80 customers, 9 of whom responded. Then the survey was redesigned and sent to another 63 customers, 12 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? Choose the most appropriate option:
A) 2% B) 5% C) 14% D) 28% E) 69%

Solution: Rate of first survey = 9/80   Rate of second survey = 12/63   % Response rate increase (12/63-9/80)/(9/80) = 69%   Answer is 69% = 69%
Answer: E
50% of a number is more than 40% of 120 by 180. Find the number?
Choose the correct choice from the following:
A) 456
B) 480
C) 420
D) 445
E) 320

Solution: (50/100) * X – (40/100) * 120 = 180   1/2 X = 228   X = 456   456nswer:456
Answer: A
14 times a number gives 210. The number is  Choose the correct choice from the following choices
A) 11 B) 12 C) 15 D) None E) Cannot be determined

Solution: Explanation:   Let the number be 'N'   14×N=210⇒N=15   15orrect Option: 15
Answer: C
One drier dries certain quantity of material in 24 minutes. Another drier does the same work in 2 minutes how much time will it take to do the same job when both driers are put to work ?
Answers:
A) 1.00 minutes  B) 1.20 minutes  C) 1.50 min  D) 1.85 min  E) 2.00 minutes

Solution: By guess it is clear that the time taken will be less than 2 minutes and more than 1.5 mintes Therefore, answer 1.85 minutes will be correct. Answer-1.85 min
Answer: D
If a car had traveled 25 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 75 km, at what speed did it travel?	Pick
A) 30 kmh B) 40 kmh C) 45 kmh D) 50 kmh E) 55 kmh

Solution: Time = Distance/Speed   Difference in time = 1/2 hrs   75/x - 75/(x + 25) = 1/2   Substitute the value of x from the options. --> x = 50 --> 75/50 - 75/75 = 3/2 - 1 = 1/2   Answer: 50 kmh
Answer: D
In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73
students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table
tennis and badminton, 24 play both table tennis and cricket 30 play. Badminton and cricket and
17 students play all the sports. How many students play only cricket ? Choose the correct choice from the following.
A) 35
B) 38
C) 39
D) 47
E) 37

Solution: PERSONS PL35Y CRICKET ONLY=N(C)-N(B∩C)+N(C∩T)-2(N(B∩T∩C))   =75-30+24-(2*17)= 
75-30+24-(2*17) = 35
35   35NSWER:35
Answer: A
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.12350. Find the share of A?  Choose the most appropriate option
A) 3002	B) 3000	C) 3018	D) 4000	E) 5000

Solution: 60*5:36*6:75*3   100: 72: 75   100/247 * 12350= 
100/247 * 12350 = 5_000
5000   Answer: 5000
Answer: E
After 95 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it? Choose the correct choice from the following options:
A) 7 liters
B) 4 liters
C) 3 liters
D) 5 liters
E) 6 liters

Solution: 95% ----------- 95   5% ------------ ?   => 5 liters   Answer: 5 liters
Answer: D
In a school 10% of the boys are same in number as 1/2th of the girls. what is the ratio of boys to the girls in the school?  Choices
A) 5:1	B) 2:3	C) 1:4	D) 3:7	E) 2:5

Solution: 10% of B = 1/2 G   10B/100 = G/2   B = 5G/1   B/G = 5/1= 
5/1 = 5
5:1   5:1nswer is 5:1
Answer: A
In case P there are 2 red pens and 3 blue pens, in case Q there is 1 red pen and 4 blue pens. A case is randomly picked, what is the probability of picking up a red pen from case Q? Choose the correct choice from the following options:	A) 1/10.	B) 4/5.	C) 3/10.	D) 3/5.	E) 2/3.

Solution: Probability of picking up one case out of two= 1/2   probability of picking 1 red pen from case Q= 1/5   Hence the desired probability= 1/2*1/5= 1/10   1/10. is the answer
Answer: A
A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score? Choices:
A) 665
B) 700
C) 720
D) 730
E) 750

Solution: Explanation:   8 * 84= 
8 * 84 = 672
672 – 7= 665   665)
Answer: A
The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this year actually decreased by 20 percent. What percent of the projected attendance was the actual attendance? Choose the correct choice from the following
A) 45%	B) 56%	C) 64%	D) 75%	E) 80%

Solution: Last year attendance = 100 (assume);   Projected Attendance = 125;   Actual Attendance = 80.   The actual attendance therefore was (Actual)/(Project) = 80/125 *100= 
80/125 *100 = 64
64$ of the projected attendance.   Answer: 64%.
Answer: C
A train 110 m long is running with a speed of 30 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choose the correct choice from the following answers:
A) 7 sec B) 6 sec C) 8 sec D) 11 sec E) 2 sec

Solution: Speed of train relative to man = 30 + 6= 
30 + 6 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Time taken to pass the men= 110 /10= 
110 /10 = 11
11 sec.   Answer:11 sec
Answer: D
A and B can do a piece of work in 8 days. With the help of C they finish the work in 4 days. C alone can do that piece of work in? Choose the correct choice from the following choices.
A) 40 days  B) 20 days  C) 8 days  D) 60 days  E) 40 days

Solution: 8 days   8 days   8 days = 1/4 – 1/8 = 1/8 => 8 days
Answer: C
When a certain number X is divided by 143, the remainder is 42. Which of the following numbers, if added to X, would result in a number divisible by 13?	Answers.
A) 10 B) 21 C) 34 D) 47 E) 55

Solution: Now X= 143q + 42 = 11*13*q + 42..so we have to make only 42 div by 13..   42 +10= 
42 +10 = 52
52 YES   minimum 10 to be added   10
Answer: A
(√27+√243)/√48=?  Choose one:
A) 2√2	B) 2√3	C) 3√2	D) 3√3	E) 3

Solution: (√27+√243)/√48   =(3√3+9√3)/4√3   =12√3/4√3   =3.   Hence, the correct answer is 3.
Answer: E
Solution A is 20% chlorine and Solution B is 80% chlorine. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% chlorine solution?  Pick:	A) 6:4	B) 6:14	C) 4:4	D) 4:6	E) 3:7

Solution: Forget the volumes for the time being.   You have to mix 20% and 80% solutions to get 50%. This is very straight forward since 50 is int he middle of 20 and 80 so we need both solutions in equal quantities. If this doesn't strike, use   w1/w2 = (A2 - Aavg)/(Aavg - A1)   w1/w2 = (80 - 50)/(50 - 20)= 
(80 - 50)/(50 - 20) = 1
1/1   So the volume of the two solutions will be equal. Answer has to be 4:4=4:4
Answer: C
Find the number, the second digit of which is smaller than its first digit by 4, and if the number was divided by the digit’s sum, the quotient would be 7.
Choose the correct choice.
A) 64  B) 74  C) 84  D) 87  E) 89

Solution: 84 is the desired number.   84/12= 
84/12 = 7
7   ANSWER:84
Answer: C
There is a 40% chance that Betty will visit Denmark this year, while there is a 30% chance that she will visit Peru this year. What is the probability that Betty will visit either Denmark or Peru this year, but NOT both?  Choose the correct option
A) 44%  B) 46%  C) 48%  D) 50%  E) 52%

Solution: P(Denmark but not Peru)=0.4*0.7= 
0.4*0.7 = 0.28
0.28   P(Peru but not Denmark)=0.3*0.6= 
0.3*0.6 = 0.18
0.18   P(Denmark or Peru but not both)=0.28+0.18= 
0.28+0.18 = 0.46
0.46   The answer is 46%.
Answer: B