MU-NLPC/Calc-aqua_rat huggingface dataset:
A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?  Choose one
A) 2999  B) 2669  C) 2600  D) 1500  E) 1267

Solution: (5/100) A = (15/100) B   A = 3B   A + B = 2000   4B = 2000 => B = 500   A = 1500   Answer: 1500
Answer: D
Eight fencers participate in a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?  Choose the correct choice.
A) 52 B) 56 C) 60 D) 64 E) 72

Solution: 8*7= 
8*7 = 56
56   The answer is 56.
Answer: B
A group of 36 students are visiting an amusement park. The tickets are $6 for an individual or $30 for a group up to 10 people. What is the minimum amount the group has to pay?	Choose the most appropriate option:
A) $520.  B) $320.  C) $220.  D) $420.  E) $120.

Solution: There are 2 options to buy tickets for 36 students.   • Option 1: 3 group tickets + 6 single tickets.   The cost for option 1 is $30 × 3 + $6 × 6 = $126.   • Option 2: 4 group tickets   The cost for option 2 is $30 × 4 = $120.   The option 2 is cheaper. Therefore, the minimum amount the group has to pay is $120.   correct answer $120.
Answer: E
If points X and Y are two distinct points in the coordinate plane, which of the following can have more than one possible value?	Select: A) The circumference of a circle with diameter XY. B) The area of a square with diagonal XY. C) The perimeter of a right isosceles triangle with a leg XY. D) The area of a circle with chord XY. E) The area of an equilateral triangle with base XY.

Solution: All other options will have distinct values.   ANSWER:The perimeter of a right isosceles triangle with a leg XY.
Answer: C
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $252 per week. How much does she earn in dollars per hour?
Choose the correct choice from the following answers:
A) 11
B) 10
C) 9
D) 8
E) 7

Solution: Let Sheila earn x dollars per hour   So, on Monday, Wednesday and Friday , she earns 8x each   And, on Tuesday and Thursday, she earns 6x each   In total , over the week she should earn, 3(8x) + 2(6x) = 36x   She earns $252 per week   36x =252   x =7   Correct Option :7
Answer: E
Two trains 140 m and 150 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?  Choose the most appropriate option
A) 10.9 sec B) 13.8 sec C) 53.8 sec D) 10.44 sec E) 10.4 sec

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 140 + 150= 
140 + 150 = 290
290 m.   Required time= 290 * 9/250= 
290 * 9/250 = 261/25 = around 10.44
10.44 sec.   Answer: 10.44 sec:
Answer: D
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:  Choose the correct choice from the following.
A) 504  B) 536  C) 544  D) 548  E) 586

Solution: Required number = (L.C.M. of 12, 15, 20, 54) + 8   = 540 + 8= 
540 + 8 = 548
548.   Answer: Option 548
Answer: D
A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 4 days. B can do the work alone in?
Answers.
A) 19	B) 12	C) 11	D) 24	E) 114

Solution: Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.   Then, (1/x + 2/x + 3/x) = 1/4   6/x = 1/4 => x = 24   So, B takes 12 hours to finish the work.   Answer: 24
Answer: D
What is the ratio of y to x if (x + 3y) / ( x - y) = 5/4?  Choose the correct choice from the following options.
A) -15/4
B) -5/3
C) 1/17
D) 3/5
E) 15/1

Solution: Solving for y/x gives, 1/17 (1/17)
Answer: C
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 1.15 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Answers.
A) 65 sec  B) 54 sec  C) 48 sec  D) 33 sec  E) 12 sec

Solution: Relative speed = 60 + 90= 
60 + 90 = 150
150 km/hr.= 150 * 5/18 = 125/3 m/sec.   Distance covered = 1.10 + 1.15= 
1.10 + 1.15 = 2.25
2.25 km= 2250 m.   Required time = 2250 * 3/125= 
2250 * 3/125 = 54
54 sec.   Answer:54 sec
Answer: B
The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-5), how many units is P from the y-axis?
Choose the correct option
A) 2.5 B) 5 C) 7.5 D) 10 E) 12

Solution: The x-axis is 5 units from the point P.   Thus the y-axis is 10 units from the point P.   The answer is 10.
Answer: D
Jackson purchased a refrigerator and a mobile phone for $15000 and $8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Pick:  A) profit of Rs. 200  B) profit of Rs. 100  C) loss of Rs. 100  D) loss of Rs. 200  E) None of these

Solution: A   profit of Rs. 200   Let the SP of the refrigerator and the mobile phone be $ r and $ m respectively.   r = 15000(1 - 4/100) = 15000 - 600   m = 8000(1 + 10/100) = 8000 + 800   Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800= 
-600 + 800 = 200
$200   profit of Rs. 200s this is positive, an overall profit of $200 was made.
Answer: A
81 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Choose the correct choice from the following answers
A) A)99
B) B)77
C) C)66
D) D)55
E) E)88

Solution: (81 * 8)/30   = (x * 6)/50   => x =180   180 – 81   = 99   99nswer:99
Answer: A
There are 15 members in a family. it takes 180 days for a women to complete the work, however man completes in 120 days. They take 17days to complete the work if men work on alternate days and women work every third day. if all of them started together on the 1st day, then how many women are there in the family
Choose the correct answer: A) 1 B) 2 C) 3 women D) 4 E) 5

Solution: Let the number of men be m and so the number of women = 15-m   Out of 17 days, men and women work together on 1,4,7,10,13,16th days (Total of 6 days) from the start.   Men work on alternate days, that is 1,3,5,7,9,11,13,15,17th days (Total of 9 days).   Let the total work be 360 units (LCM of 180 and 120).   1 man does  360/120= 
 360/120 = 3
3 units per day   1 woman does 360/180= 
360/180 = 2
2 units per day   Based on above facts,   Total work by men + women in these 17 days= 360 units   m*9*3 + (15-m)*6*2 = 360,   27m + 180 -12m = 360, Solving m=12.   Num of men = 12 and number of women = 15-12= 
15-12 = 3
3   ANSWER:3 women
Answer: C
An exam consists of 2 true/false questions. Brian forgets to study, so he must guess blindly on each question. If any score above 70% is a passing grade, what is the probability that Brian passes?  Choose the correct choice
A) 1/16	B) 37/256	C) 1/2	D) 219/256	E) 15/16

Solution: If you have 8 T or F and Brian is going to guess then each question he has a 50% chance of getting correct.   If a passing score is 70% it means Brian needs to get 6/8=75%, 7/8=87.5%, or 8/8=100% to pass. Each is a possibility. If Brian gets a 5/8(=62.5%) or below he fails.   So first figure out the number of ways that Brian can get 6 out of 8, 7 out of 8, and 8 out of 8 questions correct.   Which is 8 choose 6, equals is 28, 8 choose 7, equals 8, and 8 choose 8, equals 1. This sums to 37.   The number of possible questions outcomes -the sum of 8 choose 8, 7 choose 8, 6 choose 8….2 choose 8, 1 choose 8, and 0 choose 8 is 256, so the chance of him passing is 1/16.   1/16
Answer: A
A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. Each block measures 1 by 1 meter. In how many different colors c patterns can be floor be parqueted?  Pick one.
A) 104 B) 213 C) 3^5 D) 705 E) 726

Solution: Total number of squares we need to fill = 6   Number of colors we have = 3   Therefore, total number of patterns c= 3*3*3*3*3*3= 
3*3*3*3*3*3 = 729
729   However, this is considering that we can have a case in which all tiles are the same color. Since we are given that the quantity of each tile is 5 and the number of tiles required is 6, we know that this case cannot be possible. Therefore we must subtract the cases in which all tiles will be of the same color (3 cases since there are 3 colors).   Thus our answer should be :729 - 3= 
729 - 3 = 726
726   Answer : 726
Answer: E
How many integers between 1 and 1,050 are divisible by 10, 25, and 35?	Choose the correct choice:
A) 4
B) 5
C) 6
D) 7
E) 3

Solution: Prime factorization of given numbers   10=2*5   25=5^2   35=5*7   LCM of the given numbers   =2*5^2*7   =50*7= 
50*7 = 350
350   Therefore , number of integers= 1050/350= 
1050/350 = 3
3   Answer:option 3
Answer: E
Akhil borrowed a certain sum of money at the rate of 6%, 9% and 14% for a period of first two years, next three years and beyond the period of five years respectively. If at the end of nine years, he paid Rs. 8550 as interest, then find the sum of money he had borrowed.
Choose the correct choice from the following answers:  A) Rs. 9,002  B) Rs. 9,019  C) Rs. 9,199  D) Rs. 9,000  E) Rs. 9,192

Solution: Explanation:   Let Rs.P be the money borrowed by Akhil.   I) R = 6%, T = 2 years   Simple Interest of 2 years = PRT/100   = P * 6 * 2/100 = 12P/100   II) R = 9%, T = 3 years   Simple Interest of 3 years = P * 9 * 3/100 = 27P/100   III) R = 14%, T = 4 years   Simple Interest of 3 years= P * 14 * 4/100 = 56P/100   Therefore, total Simple Interest of 9 years   = 12P/100 + 27P/100 + 56P/100   = 95P/100   The total interest paid after nine years = Rs.8550   95P/100 = 8550   Therefore, 95P = 855,000   P = 855,000/95 = Rs. 9,000   Amount of money borrowed by Akhil = Rs. 9,000   ANSWER: Rs. 9,000
Answer: D
Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $120 and $126 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?  Choose the correct choice from the following choices:
A) 600	B) 720	C) 1080	D) 1200	E) 1440

Solution: We need to find the amount off Julie's Initial savings...Let that be 2x   So x goes in simple interest and x goes in compund interest for a period of 2 years...   In case of Simple interest, The interest paid out is same for each year..Hence if $120 was interest for 2 years that means interest per year will be 60 $   So we have S.I,120 = x∗2∗R100x∗2∗R100   or 6000 =x*R   For CI, in 126 $, 6$ represents nothing but interest earned on interest of 1st year.   In the First year, Interest amount is same for S.I and C.I   So we have   x(1+R100)2−x=126x(1+R100)2−x=126   or x(1 + R^2/10000+ 2R/100)-x=126   x+xR^2/10000+2xR/100)-x=126   x+R*6000/10000+12000/100-x=126   0.6R+120=126   0.6R=6 or R=10   So x=600...2x=1200 is the Initial savings. Answer is 1200
Answer: D
A company that ships boxes to a total of 14 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter)
Choose the correct choice:
A) 7
B) 8
C) 5
D) 9
E) 6

Solution: Back-solving is the best way to solve this problem.   You basically need 14 combinations (including single colors)   If we start from option 1->   1=> 4C2 + 4 = 10 (Not enough)   2=> 5C2 + 5 = 15 (Enough)   Since the minimum number is asked. It should be 5.   Answer - 5
Answer: C
The population of a town is 286900. If it increase at the rate of 5% per annum. What will be its population for 3years hence? Choose the correct answer:
A) 200000 B) 215600 C) 194582 D) 332122 E) 215460

Solution: population after 3years = 286900*(1+ 5/100)^3 = 332122   Answer is 332122
Answer: D
The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1400, then what is the income of P1?	Choose the correct answer.
A) s.800
B) s.2400
C) s.4000
D) s.3500
E) s.4200

Solution: Let the income of P1 and P2 be Rs. 5x and Rs.4x respectively and let their   expenditures be Rs.3y and 2y respectively.   Then, 5x – 3y = 1400 …(i) and 4x – 2y = 1400 ……..(ii)   On multiplying (i) by 2, (ii) by 3 and subtracting, we get : 2x = 1400 -> x = 700   P1’s income = Rs 5*700 = Rs.3500   ANSWER:s.3500
Answer: D
Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7020 km and comes back to the starting point. The total time taken by him is: Choose the correct choice from the following choices
A) 914.2 hours B) 900 hours C) 915 hours D) 891.4 hours E) 915 hours

Solution: Explanation:   Speed downstream = (16 + 2)= 
(16 + 2) = 18
18 kmph   Speed upstream= (16 - 2)= 
(16 - 2) = 14
14 kmph   Total time taken= 7020/18 + 7020/14 = 390 + 501.4= 
390 + 501.4 = 891.4
891.4 hours   Answer: Option 891.4 hours
Answer: D
Miles breeds Beagles and sells the puppies. He has nine customers that each want the same amount of puppies. Miles currently has 138 puppies. How many puppies would he have to keep to accommodate their requests?	Choose the correct choice from the following:
A) 1
B) 4
C) 5
D) 8
E) 3

Solution: We add the sum of the digits together to get twelve and subtract to get a number that can be divided by 9. 12 - 9 = 3. This means Miles will have to keep three puppies(option 8).
Answer: D
Convert 100miles into yards?  Choose the most appropriate option:  A) 25630 yards  B) 35200 yards  C) 39520 yards  D) 42560 yards  E) 176000 yards

Solution: 1 mile = 1760 yards   100 miles = 100*1760= 
100*1760 = 176_000
176000 yards   Answer is 176000 yards
Answer: E
How much time does a train 150 metres long running at 54 km/hr take to pass a pole?  Choose one.
A) 7.9s
B) 2.5s
C) 7.5s
D) 7.6s
E) 10s

Solution: 10sxplanation:   54 km/hr = 54 * 5/18= 
54 * 5/18 = 15
15 m/s   Speed= distance/time; v = d/t   15 = 150/t   t = 10s   ANSW10sR: 10s
Answer: E
Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles per hour and then ran at 5 miles per hour for the remaining 20 miles.Fritz ran the first one-third (by time) of the run at 10 miles per hour and the remaining two-thirds of the run at 5 miles per hour. How much time in hours did Fritz take to complete the Marathon?
Choices
A) 3
B) 3.5
C) 4
D) 4.5
E) 5

Solution: Let total time= t   F travelled at rate 10 mph for t/3 time and 5 mph for 2t/3 time   d= s1t1+s2t2   30= 10*t/3 + 5*2t/3   30= 20t/3   t= 4.5   4.5 is the answer
Answer: D
There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability Q that the number of men is equal to that of women?
Choices.
A) Q=18/35
B) Q=16/35
C) 14/35
D) 13/35
E) 12/35

Solution: METHOD-1:   Favorable outcomes (i.e. No. of Men= No. of Women =2) = 4C2 * 4C2 = 6*6= 
6*6 = 36
36   Total ways of selecting 4 out of 8 Students= 8C4 = 8! / (4! * 4!) = 70   Probability = 36/70 = 18/35   A   METHOD-2:Also see the mistake done by the person who posted this question   Probability of First selected person being Man = 4/8   Probability of Second selected person being Man = 3/7   Probability of First selected person being Woman = 4/6   Probability of Second selected person being Woman = 3/5   i.e. Probability = (4/8)*(3/7)*(4/6)*(3/5) *[4!/(2!*2!)]= 18/35   The important part for the readers is to understand the reason of multiplying[4!/(2!*2!)]here   When we take the probability of each case like we have have taken in this method then it always include Q=18/35RRQ=18/35NGEMENTS as well and so we have to take every arrangement of the events as well   The arrangement of these 4 events can be done in 4! ways but since the second man can't be selected before 1st so we have to exclude their arrangement by dividing by 2! and similarly since the second Woman can't be selected before 1st so we have to exclude their arrangement by dividing by 2!   Q=18/35
Answer: A
The average of 20 numbers is calculated as 30. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Pick
A) 40
B) 26
C) 60
D) 97
E) 12

Solution: 20 * 30 + 36 – 26   = 160/10   = 60   Answer: 60   Answer is 60
Answer: C
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :	Choose the correct choice from the following answers
A) 3398  B) 2700  C) 2887  D) 2766  E) 2981

Solution: Total number of votes = 7500   Given that 20% of Percentage votes were invalid   => Valid votes = 80%   Total valid votes =   1st candidate got 55% of the total valid votes.   Hence the 2nd candidate should have got 45% of the total valid votes   => Valid votes that 2nd candidate got = total valid votes x   Answer: 2700) 2700
Answer: B
In a basketball game, Dhoni scored 5 points more than Dravid, but only half as many points as Shewag. If the three players scored a combined total of 115 points, how many points did Dhoni score?	Choose the correct choice from the following options:
A) 30
B) 32
C) 33
D) 34
E) 35

Solution: Let Dravid scored point = x   Then Dhoni Scored = x+5   Shewag Scored = 2*(x+5) = 2x+10   30s given, x+x+5+2x+10 = 115 points   4x+15 = 115   x = 115-15/4 = 25   So Dhoni Scored = x +15 i.e) 25+5 = 30   30nswer : 30
Answer: A
A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.30 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?  Choose the correct answer.
A) Rs.950
B) Rs.1500
C) Rs.1000
D) Rs.1200
E) None of these

Solution: Explanation:   SP of 1 metre cloth = 8200/40 = Rs.205.   CP of 1 metre cloth = Rs.205 – 30 = Rs.175   CP on 40 metres = 175 x 40 = Rs.7000   Profit earned on 40 metres cloth = Rs.8200 – Rs.7000 = Rs.1200.   Answer: Option Rs.1200
Answer: D
What Is The Next Number
12 13 15 17 111 113 ? Choices
A) 154 B) 220 C) 129 D) 428 E) 117

Solution: 117   These are the first 10 prime numbers (2, 3, 5...) prefixed with a 1   Answer : 117
Answer: E
A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:	Choose the most appropriate option:	A) 250	B) 330	C) 352	D) 253	E) 163

Solution: Let the middle digit be x.   Then, 2x = 10 or x = 5. So, the number is either 253 or 352.   Since the number increases on reversing the digits, so the hundred's digits is smaller than the unit's digit.   Hence, required number = 253.   ANSWER 253
Answer: D
When n is divided by 24, the remainder is 5. What is the remainder when 4n is divided by 8?  Choices:
A) 3
B) 5
C) 4
D) 6
E) 7

Solution: Let n=5 (leaves a remainder of 5 when divided by 24)   4n = 4(5) =20, which leaves a remainder of 4 when divided by 8.   Answer 4
Answer: C
If a(a - 2) = 2 and b(b - 2) = 2, where a ≠ b, then a + b =  Choose the most appropriate option:
A) −1  B) −2  C) 4  D) 46  E) 48

Solution: i.e. if a = -1 then b = 2   or if a = 2 then b = -1   But in each case a+b = -1+2 = -1   −1nswer: option −1
Answer: A
Find the value of x in 8.5 – { 5 ½ – [7 ½ + 2.8]/x}*4.25/(0.2)^2 = 306	Answers:  A) 3.2  B) 3.4  C) 3.5  D) 4.1  E) 4.2

Solution: 8.5-{5.5-(7.5+(2.8/x))}*(4.25/0.04) = 306    8.5-{5.5-{(7.5x+2.8)/x)}*(425/4) = 306    8.5-{(5.5x-7.5x-2.8)/x}*(425/4) = 306    8.5-{(-2x-2.8)/x}*106.25 = 306    8.5-{(-212.5x-297.5)/x} = 306    (306-221)x = 297.5  x =(297.5/85) = 3.5.   ANSWER 3.5 3.5
Answer: C
Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?	Choose the correct choice from the following options
A) 27:52
B) 27:58
C) 27:57
D) 57:52
E) 27:54

Solution: 3h = 5c   6c = 10s   27:52 = 21h*3 + 15c*2   = 63h + 30c   = 105c + 30c = 135c   B 105  + 30= 
105  + 30 = 135
135c   B= 15c*6 + 40s*7 1/2   = 90c + 300s   = 90c + 180c = 270c   27:52:B 90  + 180= 
90  + 180 = 270
270c   27:52:B= 135:270   27:52   27:52nswer:27:52
Answer: A
If m^(-1) = -1/7 then m^(-2) is equal to	Choices:	A) -9	B) -3	C) -1/9	D) 1/49	E) 9

Solution: You made a mistake here.   You're right till   m^-2 = 1/m^2 and m^-1 = 1/m^1 = 1/m   given m^-1 1/  1= 
1/  1 = 1
1/m   given m^-1= -(1/7) so, 1/m = -(1/7) solving this, m = -7   Now, m^-2 = 1/m^2 = 1/(-7)^2 = 1/49 ANS 1/49
Answer: D
Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for $1.05 cents, and Zachary buys a pencil and an eraser for 65 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discount.)  Pick:
A) 300
B) 325
C) 350
D) 375
E) 400

Solution: pencil + notebook = 80   notebook + eraser = 105   pencil + eraser = 65   Let's add all three equations.   2 pencils + 2 notebooks + 2 erasers = 250 cents   The cost to buy 3 of each would be (3/2)(250) = 375   The answer is 375.
Answer: D
Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is? Choose the most appropriate option:
A) 2 B) 9 C) 5 D) 8 E) 3

Solution: 2: 5: 13   2x 5x 13x   15 7.5 2.5   30x + 37.5x + 32.5x = 100x/20x   Average 30  + 37.5  + 32.5= 
30  + 37.5  + 32.5 = 100
100x/20x   Average = 5   Answer: 5100 /20= 
100 /20 = 5
5   Answer: 5
Answer: C
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.60000?
Choose the correct option
A) 19860  B) 3277  C) 2688  D) 2998  E) 2789

Solution: 19860 = 60000(11/10)3   = 79860   = 60000   ----------   19860   19860nswer:19860
Answer: A
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is? Pick:	A) 1/38	B) 1/36	C) 1/28	D) 1/29	E) 1/98

Solution: It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6= 
6 * 6 * 6 = 216
216 ways.   Hence the probability is 6/216=1/36   Answer:1/36
Answer: B
There are 6 working days in a regular week and for each day, the working hours are 10. A man earns Rs. 2.10 per hour for regular work and Rs. 4.20 per hour for overtime. If he earns Rs.525 in 4 weeks, how many hours did he work?	Choose the correct choice from the following answers:
A) 245  B) 285  C) 275  D) 255  E) 235

Solution: Regular working hours in 4 weeks = (4 × 6 × 10) = 240 hours   245mount earned by working in these regular working hours   = 240 × 2.10 = Rs.504   245dditional amount he earned = 525 - 504 = Rs.21   Hours he worked overtime = 21/4.2 = 210/42= 
210/42 = 5
5 hours   Total hours he worked= 240 + 5= 
240 + 5 = 245
245 hours   245NSWER:245
Answer: A
A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and B together can do it in 2 hours. How long will C alone take to do it? Choose the most appropriate option:
A) 2hours	B) 5hours	C) 6hours	D) 4hours	E) 3hours

Solution: A's 1 hour work = 1/3;   (B + C)'s 1 hour work = 1/2;   (A + B)'s 1 hour work = 1/2   (A + B + C)'s 1 hour work = (1/3 + 1/2) = 5/6   C's 1 hour work = (5/6 - 1/2) = 1/3   C alone will take 3 hours to do the work.   Answer:3hours
Answer: E
A boy has 12 trousers and 12 shirts. In how many different ways can he select a trouser and a shirt? Choose the correct choice from the following answers
A) 120ways B) 149ways C) 144ways D) 130ways E) 100ways

Solution: The boy can select one trouser in 12 ways.   The boy can select one shirt in 12 ways.   The number of ways in which he can select one trouser and one shirt is   12 * 12= 
  12 * 12 = 144
144 ways.   Answer: 144ways
Answer: C