MU-NLPC/Calc-aqua_rat huggingface dataset:
The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 17000, then find the annual income of A?
Choose one.
A) Rs. 571200
B) Rs. 180000
C) Rs. 201600
D) Rs. 504000
E) None of these

Solution: B's monthly income = 17000 * 112/100 = Rs. 19040   B's monthly income = 2 parts ----> Rs. 19040   A's monthly income = 5 parts = 5/2 * 19040 = Rs. 47600   A's annual income = Rs. 47600 * 12 = Rs. 571200   Rs. 571200NSWER:Rs. 571200
Answer: A
After the recall of defective by Telvin inc 2 years ago, its share price has since lost 12%. However, after the launch of its new product 1 year ago its stock price has appreciated by 6%, bringing its share price to $25. What was its share price 2 years ago? Answers:
A) 28 B) 26.8 C) 56.6 D) 27.2 E) 25.7

Solution: -12+6-(12*6)/100=-6.72% net decrease   let initial price be Y   Y(1-6.72/100)=25   Y=25/0.9328 = ~26.8   Ans is 26.8)
Answer: B
A "word" is defined as a sequence of three dots arranged in a row. Each dot is colored either yellow or blue. How many distinct words can be formed?	Select the correct option
A) 3 B) 5 C) 6 D) 8 E) 9

Solution: there are two ways of possibilities..   1) all three same colour- YYY or BBB- 2 ways   2) two of one colour and one of different colour- 3!/2!-3ways..   now two /one could be Y/B or B/Y.... so 3*2=6..   total 6+2= 
6+2 = 8
8 ans 8
Answer: D
Which of the following is the lowest positive integer that is divisible by the first 8 positive integer multiples of 3?
Choose the correct choice from the following choices:
A) 1720
B) 2120
C) 2520
D) 2920
E) 3320

Solution: The number must be divisible by 3, 2*3, 3^2, 2^2*3, 5*3, 2*3^2, 7*3, and 2^3*3.   The lowest such number is 2^3*3^2*5*7 = 2520.   The answer is 2520.
Answer: C
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choose one
A) 1000  B) 2998  C) 2778  D) 2788  E) 2991

Solution: 90%   104%   --------   14% ---- 140   100% ---- ? => Rs.1000   1000nswer:1000
Answer: A
A pupil's marks were wrongly entered as 83 instead of 53. Due to the average marks for the class got increased by half. The number of pupils in the class is?
Choose the correct option
A) 18
B) 82
C) 60
D) 27
E) 29

Solution: Let there be x pupils in the class.   Total increase in marks   = (x * 1/2) = x/2   x/2 = (83 - 53) => x/2   = 30 => x = 60.   Answer: 60
Answer: C
What comes next in the sequence?
4, 2, 4, 8, 6, 8, 16	Select the correct option.
A) 14	B) 16	C) 4	D) 18	E) 8

Solution: (4,8,16)   (2,6,18)   (4,8,16)   series is 4,2,4,8,6,8,16,18,16   ANSWER:18
Answer: D
Shelly rows 4m kilometers downstream at 6x kilometers per hour. Then she turns around and rows m/6 kilometers upstream at 2x kilometers per hour. What is Shelly's average rowing speed in kilometers per hour during the entire journey?	Choose the correct choice from the following answers:  A) 50x/9  B) 50x/(9m)  C) 50/9  D) 50m/9  E) 50mx/9

Solution: Total distance covered = 4m + m/6 = 25m/6   Total time taken = 4m/6000x + (m/6)/2000x = 9m/12000x = 3m/4000x   50x/9verage speed = Total distance/Total Time taken = (25m/6)/(3m/4000x)   = 50,000x/9 mt/hr   = 50x/9 km/hr   Option 50x/9.
Answer: A
2 pipes can separately fill a tank in 20hrs and 30hrs respectively. Both the pipes are opened tofill the tank, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?  Choose the most appropriate option:
A) 10 hrs
B) 12 hrs
C) 16 hrs
D) 18 hrs
E) 20 hrs

Solution: 1/20 + 1/30 = 1/12   1 + 1/3 = 4/3   1 --- 12   4/3 --- ?     4/3 * 12= 
  4/3 * 12 = 16
16 hrs   16 hrs
Answer: C
A truck covers a distance of 392 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 70 km more than that travelled by the truck ?
Select the correct option:
A) 6 hours  B) 5 hours  C) 7 hours  D) 8 hours  E) None

Solution: Explanation :   Speed of the truck = Distance/time = 392/8= 
392/8 = 49
49 kmph   Now, speed of car= (speed of truck + 18) kmph = (48 + 18)= 
(48 + 18) = 66
66 kmph   Distance travelled by car= 392 + 70= 
392 + 70 = 462
462 km   Time taken by car= Distance/Speed = 462/66= 
462/66 = 7
7 hours.   Answer – 7 hours
Answer: C
36 people attend a party. 7 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ? Choose one:	A) 7	B) 6	C) 5	D) 8	E) 9

Solution: Total people = number of men + number of women   36 = 7 + number of married men + 22   number of married men = 36- 22-7= 
36- 22-7 = 7
7 men   7NSWER:7
Answer: A
A train 250 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:	Answers
A) 95
B) 50
C) 12
D) 13
E) 67

Solution: Speed of the train relative to man = (250/10) m/sec = (25) m/sec. [(25) * (18/5)] km/hr = 90 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 90 ==> x = 95 km/hr.   95nswer: Option 95
Answer: A
Townville has 100 residents, and 30 of them are females. If half of Townville’s male residents are smokers, and 1/3 of the female residents are smokers, which of the following represents the total number of Townville’s residents who are NOT smokers?	Choose the correct choice from the following answers.
A) 55	B) 65	C) 25	D) 22	E) 21

Solution: Number of people =100   Females = 30   men = 100-30= 
100-30 = 70
70   Half of the men are smoker  70/2= 
  70/2 = 35
35, that means the remaining men 70-35= 
70-35 = 35
35 are non smokers.   1/3 females are smoker. i.e 1/3*30= 10.   30-10= 
30-10 = 20
20 females are non smokers   So, total number of non smokers in the town are 35+20= 
35+20 = 55
55   55nswer : 55
Answer: A
The ratio of investments of A, B and C is 5:6:7. If they share the profit in the ratio of 5:9:21, then find the ratio of their periods of investments.  Choose the correct choice:
A) 2:3:6
B) 3:5:6
C) 3:2:4
D) 2:4:3
E) 2:5:3

Solution: The ratio of investments of A, B and C is 5:6:7.   The ratio of shares of A, B and C is 5:9:21.   Therefore, Ratio of their periods of investments is   (5/5) : (9/6) : (21/7) = 1:3/2:3 = 2:3:6.   2:3:6NSWER:2:3:6
Answer: A
23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
Choose the correct choice
A) 22 B) 23 C) 44 D) 45 E) 46

Solution: n for cyclic hand shake and n-1 for linear handshake.   so here no of hand shake is 23.   ANSWER:23
Answer: B
Jaime earned enough money by selling seashells at 35 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold ?	Options:  A) 5  B) 11  C) 17  D) 22  E) 30

Solution: Let's TEST Answer D: 22 seashells....   With 22 seashells, Jamie would have 22(35) = 770 cents. This would allow him to buy 14 books for 770 cents total, with no money left over. This is an exact MATCH for what we were told, so this MUST be the answer.   Final Answer:   [Reveal]Spoiler:22
Answer: D
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?  Select the correct option:
A) 28 B) 27 C) 12 D) 99 E) 14

Solution: Speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 60 m= 60/5= 
60/5 = 12
12 seconds.   Answer:12
Answer: C
How many ways are there to award a gold, silver and bronze medal to 12 contending teams?  Pick.
A) 12 x 11 x 10  B) 10!/(3!7!)  C) 10!/3!  D) 360  E) 300

Solution: we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 12 ways   if gold medal is given to 1 of the teams then only possible 11 teams can be considered for silver medal. we can do selection in 11 ways   similarly if gold and silver medals are awarded then only remaining 10 teams can be considered for a bronze medal. we can do the selection in 10 ways   Total number of ways to select the 3 possible medal winners = 12 * 11 * 10   Correct answer - 12 x 11 x 10
Answer: A
Points M(5,2) and N(5,8) lie on the xy - plane. What is the midpoint of line segment MN?  Options
A) (5,0)	B) (0,5)	C) (0, (136^(1/2))/2)	D) (3/2,0)	E) (5,5)

Solution: The midpoint of a segment is exactly halfway between its endpoints and it's location can be found using the Midpoint Theorem, which states:   • The x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints.   • Likewise, the y-coordinate is the average of the y-coordinates of the endpoints.   So, x=(5+5)/2= 
(5+5)/2 = 5
5 and y=(2+8)/2= 
(2+8)/2 = 5
5 --> coordinates of the midpoint are (5, 5).   Answer: (5,5).
Answer: E
Half of 5 percent written as decimal is	Select the correct option
A) 5  B) 0.025  C) 0.015  D) 0.005  E) None of these

Solution: Explanation:   It will be 1/2(5%) = 1/2(5/100) = 5/200= 
5/200 = 1/40 = around 0.025
0.025   Option 0.025
Answer: B
If 21,394 + x is a multiple of 3, which of the following could be the value of x? Choose the correct option
A) 1 B) 2 C) 3 D) 4 E) 6

Solution: Sum of the digits of 21,394 is  2+1+3+9+4= 
 2+1+3+9+4 = 19
19   Now 19 is not a multiple of 3, the next multiple of 3 close to 19 is 21, which is 2 added to 19.   So the least number to be added to 21,394 is 2   2
Answer: B
Emily has a cylindrical water bottle that can hold 1000π cubic centimeters of water. Right now,
the bottle is holding 100π cubic centimeters of water, and the height of the water is 1 centimeter.
Compute the radius of the water bottle.	Choose the correct choice from the following choices
A) 8  B) 10  C) 15  D) 22  E) 13

Solution: if the height of the water is 1 centimeter when there are 100π cubic centimeters   of water, then the height of the water would be 10 centimeters when the water bottle is full.   Therefore,πr2 * 10 = 1000π and r2 = 100, so r = 10 .   correct answer 10
Answer: B
A randomly selected sample population consists of 60% women and 40% men. 90% of the women and 15% of the men are colorblind. For a certain experiment, scientists will select one person at a time until they have a colorblind subject. What is the approximate probability of selecting a colorblind person in no more than three tries?  Choose the most appropriate option:	A) 95%	B) 90%	C) 80%	D) 75%	E) 60%

Solution: According to the matrix the probability of selecting a colorblind person is 0.6 and the probability of NOT selecting a colorblind person is 0.4.   {The probability of selecting a colorblind person in three tries} = 1 - {the probability of NOT selecting a colorblind person in three tries} = 1 - 0.4*0.4*0.4 = 1 - 0.064= 
1 - 0.064 = 0.936
0.936= 93.6%.   We are asked to find the approximate probability, so the answer is 95%.   95%nswer: 95%.
Answer: A
The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?	Choose the most appropriate option:
A) 4.2  B) 4.4  C) 4.6  D) 5.6  E) 5.7

Solution: Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]   = 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.   Required average = (9.2 / 2) = 4.6.   4.6
Answer: C
For which of the following values of n is (200+n)/n NOT an integer?	Pick one:	A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Solution:   This problem is easiest solved by plugging in each answer choice.   A) (200 + 1)/1 = 101/1 = 201   Answer choice A yields an integer.   B) (200 + 2)/2 = 202/2= 
202/2 = 101
101   Answer choice B yields an integer.   C) (200 + 3)/3= 203/3 = 67, remainder 2   Answer choice C DOES NOT yield an integer.   Although we believe answer choice C is correct, we should still test the other answer choices.   D) (200 + 4)/4 = 204/4= 
204/4 = 51
51   Answer choice D yields an integer.   E) (200 + 5)/5= 205/5= 
205/5 = 41
41   Answer choice E yields an integer.   Thus, the correct answer is answer choice 3.
Answer: C
If x is negative and y is positive, which of the following cannot be positive?	Choose the most appropriate option:  A) -x/y  B) x/-y  C) -xy  D) x*(-y)  E) x^3*y

Solution: -*-*-= -   x^3*y is negative.   Answer : x^3*y
Answer: E
What is the smallest number which when increased by 3 is divisible by 12, 15, 35, and 40?	Choose the correct option.
A) 837
B) 947
C) 1027
D) 1155
E) 1231

Solution: Factor each of the numbers 8, 15, 35, and 40 into primes:   12=2*2*3; 15=3*5; 35=5*7; 40=2*2*2*5   The smallest number divisible by all of them is thus   2*2*2*3*5*7= 
  2*2*2*3*5*7 = 840
840   837 + 3= 
837 + 3 = 840
840   837
Answer: A
The fourth proportional to 12, 14 and 18 is?
Choose the correct choice from the following options:
A) 21
B) 66
C) 77
D) 88
E) 99

Solution: (14*18)/12= 
(14*18)/12 = 21
21   21nswer: 21
Answer: A
A train speeds past a pole in 15 seconds and a platform 100 m long in 30 seconds. Its length is?
Choose the correct option
A) 188 m B) 876 m C) 251 m D) 200 m E) 145 m

Solution: Let the length of the train be x meters and its speed be y m/sec.   They, x / y = 15 => y = x/15   x + 100 / 30= x / 15   x = 200 m.   Answer: 200 m
Answer: D
A car drives 60 miles on local roads at 20 mph, and 195 miles on the highway at 65 mph, what is the average speed of the entire trip?
Choose the correct choice from the following options
A) 36 mph
B) 40 mph
C) 44 mph
D) 43 mph
E) 58 mph

Solution: So The Answer is Plainly D....   we have a general relation for speed , time and distance : v (velocity) * t ( time)= d (distance)   for first part we have d=60 miles , and v= 20 mph so we can obtain time : 20*t = 60 Or t= 60/20= 
60/20 = 3
3 hours the needed time to cover 60 miles   in the same way we should divide 195 to 65 to find the needed time to cover 195 miles ,so t= 3 hours   so the total time for covering total distance would be  3+3= 
 3+3 = 6
6 hours and total distance is   60+195= 
  60+195 = 255
255 miles   Final stage : average speed is total distance divide to total time : 255/6= 
255/6 = 85/2 = around 42.5
42.5 miles per hour rounded up to 43 MPH....
Answer: D
A certain airline's fleet consisted of 100 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of the fleet?  Choose one:
A) 14  B) 15  C) 16  D) 17  E) 18

Solution: Let x be the number of years.   4x > 100 - 3x   7x > 100   x > 14 + 2/7   The answer is 15.
Answer: B
Find the next number in the Sequence
5, 16, 49, 104, ?	Select
A) 111 B) 224 C) 133 D) 181 E) 231

Solution: 181   181   +11 =>16   +33 =>49   +55 =>104   +77 =>181
Answer: D
In the xy-plane, a line has slope 3 and x-intercept 5. What is the y-intercept of the line?  Choose the correct choice from the following:	A) -15	B) -3	C) 0	D) 3	E) 9

Solution: Let the line be represented by a general equation y=mx+b, where m = slope (3) and b=y intercept. We are also given the value of x-intercept 5.   Theory : y intercept represents the point on the line where the x=0, and x intercept represents the point on the line where the y=0.   Putting these values in the equation : 0 = 3*5 + b => b = -15. Hence -15.
Answer: A
100 identical coins, each with probability P of showing 'heads' are tossed once. If 0<P<1 and the probability of 'heads' showing on 50 coins is equal to that of 'heads' showing on 50 coins, then find the value of P.
Pick one
A) 51/101.	B) 51/100	C) 32/81	D) None of these	E) Cannot be determined

Solution: Explanation :   Let X be the number of coins showing 'heads', then X follows a binomial distribution with parameters n = 100 and P.   As given, P(X=50) = P(X=51)   => 100C50P50(1-P)50 = 100C51P51(1-P)49 .   => 51/50 = P / (1-P)   => p = 51/101.   Hence, the value of p is 51/101.   51/101.nswer : 51/101.
Answer: A
At what rate percent on simple interest will a sum of money double itself in 30 years?	Choose the correct choice from the following options:
A) 3 1/3% B) 3 1/9% C) 3 9/3% D) 3 2/3% E) 3 6/3%

Solution: P = (P*30*R)/100   R = 3 1/3%   3 1/3%nswer: 3 1/3%
Answer: A
The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)?	Choose the correct answer
A) 28 years B) 29 years C) 20 years D) 26 years E) 21 years

Solution: Present total age of the members = 26(5) = 130 years.   Present age of the youngest member = 10 years   Present total age of the remaining four members = 130 -10= 
130 -10 = 120
120 years   Their average age at the time of the birth of the youngest member= [120 - (4 * 10)] / 4   = 30 - 10= 
30 - 10 = 20
20 years.   Answer:20 years
Answer: C
Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 50 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?  Choices:
A) 105	B) 120	C) 140	D) 147	E) 98

Solution: Car Y began travelling after 72 minutes or 1.2 hours.   Let t be the time for which car Y travelled before it stopped.   Both cars stop when they have travelled the same distance.   So,   35(t+1.2) = 50t   t=2.8   Distance travelled by car X from the time car Y began traveling until both cars stopped is   35 x 2.8   = 98 miles   Answer:- 98
Answer: E
A boat goes 100 km downstream in 10 hours, and 75 Km upstream in 25 hours. The speed of the stream is? Pick.
A) 22 1/9	B) 6	C) 5	D) 3.5	E) 4.5

Solution: 100 --- 10 DS = 10   ? ---- 1   75 ---- 25 US = 3   ? ----- 1 S = (10 - 3)/2= 
(10 - 3)/2 = 7/2 = around 3.5
3.5 kmph.   Answer:3.5
Answer: D
If (y - 4)(z - 8) + 9(z - 8) = 0, then which of the following must be true?  Choose the correct choice:
A) y = -4 and z = -3  B) y = -4 or z = 8  C) y = -4 or z = 3  D) y = 1 and z = 3  E) y = 1 or z = 3

Solution: factor out:   (z-8)(y-4+9)=0   (z-8) (y+5) = 0   So by checking options we get ,   y = -4 or z = 8.
Answer: B
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is	Choices:	A) 25/42	B) 25/40	C) 25/49	D) 25/47	E) 25/44

Solution: Explanation:   Total fruits = 9   Since there must be at least two apples,   = 25/42.   25/42nswer: 25/42
Answer: A
How many distinct integer values of n satisfy the inequality||n-3| + 4| ≤ 15? Pick:
A) 15
B) 16
C) 17
D) 18
E) 13

Solution: so i can write this as In-3I+4<=15   or In-3I<=11   so n can have -8 to 14 = 13 true values....   13
Answer: E
The area of a square is 4356 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square. Options:  A) 5:28  B) 5:19  C) 7:12  D) 5:13  E) 7:22

Solution: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.   a2 = 4356   a = 66   L = 2a and b = a - 24   b : l = a - 24 : 2a = 42 : 132   = 7:22   Answer:7:22
Answer: E
A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 1000 revolutions. How many revolutions does the second wheel make in covering d feet?  Pick.
A) 1000xy
B) 1000x/y
C) 1000x - y
D) 1000y/x
E) 1000y - x

Solution: First Wheel with diameter x inches ----> So the circumference = x*pi --------- (1)   Second Wheel with diameter y inches ----> So the circumference = y*pi --------- (2)   Revolutions = distance/circumference   So, from equation (1)   1000 = d/(x*pi)   d = 1000 * x * pi ---------- (3)   From equation (2)   Revolutions = d/(y*pi) = (1000 * x * pi) / (y*pi) = 1000x/y   Answer (1000x/y)
Answer: B
The average marks of a class of 25 students is 50 and that of another class of 40 students is 65. Find the average marks of all the students?
Choose the correct choice from the following answers:
A) 52.6
B) 52.4
C) 52.1
D) 59
E) 52.9

Solution: Sum of the marks for the class of 25 students = 25 * 50= 
25 * 50 = 1_250
1250   Sum of the marks for the class of 40 students= 40 * 65= 
40 * 65 = 2_600
2600   Sum of the marks for the class of 65 students=   1250 + 2600= 
1250 + 2600 = 3_850
3850   Average marks of all the students= 4850/65 = 59.Answer: 59
Answer: D
The speed of a train is 60 kmph. What is the distance covered by it in 20 minutes?
Choose the correct option:
A) 21 kmph
B) 22 kmph
C) 20 kmph
D) 23 kmph
E) 24 kmph

Solution: 60 * 20/60= 
60 * 20/60 = 20
20 kmph   Answer: 20 kmph
Answer: C
A car covers a distance of 624 km in 4 hours. Find its speed?	Choose the correct choice from the following:
A) 156
B) 288
C) 271
D) 276
E) 128

Solution: 624/4= 
624/4 = 156
156 kmph   156nswer: 156
Answer: A
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?  Choose the correct choice from the following options:
A) 70
B) 65
C) 25
D) 30
E) 40

Solution: A + B = 60, A = 2B   2B + B = 60 => B = 20 then A = 40.   5 years, their ages will be 45 and 25.   Sum of their ages = 45 + 25= 
45 + 25 = 70
70.   70NSWER 70
Answer: A
Reduce
368/598
to the lowest terms	Pick one:
A) 30/25
B) 28/13
C) 28/29
D) 8/13
E) None of these

Solution: Explanation:   We can do it easily by in two steps   Step1: We get the HCF of 368 and 598 which is 46   Step2: 8/13ivide both by 46, we will get the answer 8/13   Answer: Option 8/13
Answer: D
A Complany provides health insurance that pays 50.0% of the cost, with a $180.00 deductible. This means that the employees pays the first $180.00, after which the insurance company pays 150.0%. How much will an employee pay if his total medical bill is $1400.00? Choose one
A) $790 B) $780 C) $770 D) $760 E) $750

Solution: $790mount employee pays = 180 + 50/100* (1400-180)   = 180 + 50/100*1220   = 180+610= 
180+610 = 790
$790   $790NSWER:$790
Answer: A
In a school of 700 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?  Choices
A) 173 B) 126 C) 153 D) 143 E) 133

Solution: 44 + 28 + 10= 
44 + 28 + 10 = 82
82%   100 – 82= 18%    700 * 18/100= 
 700 * 18/100 = 126
126   ANSWER:126
Answer: B
The sum of the mean, the median, and the range of the set {1,5,6} equals which one of the following values?	Pick:
A) 7
B) 12
C) 14
D) 17
E) 20

Solution: Here Mean => 1+5+6/3 => 4   median => 5   and range => 6-1= 
6-1 = 5
> 5   hence sum=> 4+5+5= 
4+5+5 = 14
> 14   Answer: 14
Answer: C
If we have 9 people in a meeting, in how many ways they can sit around a table? Choose the correct choice from the following answers
A) 10*9! B) 9*8! C) 8*7! D) 7*6! E) 6*5!

Solution: If there arenpeople sitting around a table, there are(n-1)!possible arrangements:   Here, n=9   (n-1)!=8!=8*7!   Ans:8*7!
Answer: C
At a dinner party, 3 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?  Answers:	A) 2	B) 10	C) 24	D) 32	E) 120

Solution: Soln: Since the arrangement is circular and 2 seating arrangements are considered different only when the positions of the people are different relative to each other, we can find the total number of possible seating arrangements, by fixing one person's position and arranging the others.   Thus if one person's position is fixed, the others can be arranged in 2! =2 ways.   2ns is 2.
Answer: A