MU-NLPC/Calc-aqua_rat huggingface dataset:
A monkey start climbing up a tree 18 ft tall.Each hour it hops 3 ft and slips back 2 ft. How much time would it take the monkey to reach the top.	Choose the correct choice.
A) 15 hrs B) 18 hrs C) 19 hrs D) 17 hrs E) 16 hrs

Solution: if monkey hops 3ft and slips back 2ft in a hour, it means the monkey hops (3ft-2ft)= 1ft/hr.   similarly in 15hrs it wil be 15ft.   Bt since the height of the tree is 18ft, so if the monkey hops up the tree in the next hr i.e 16th hr then it reaches at the top of the tree.   hence it takes 16 hrs for monkey to reach at the top   ANSW16 hrsR:16 hrs  (3  -2  )= 
  (3  -2  ) = 1
1ft/hr.   similarly in 15hrs it wil be 15ft.   Bt since the height of the tree is 18ft, so if the monkey hops up the tree in the next hr i.e 16th hr then it reaches at the top of the tree.   hence it takes 16 hrs for monkey to reach at the top   ANSW16 hrsR:16 hrs
Answer: E
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 120 games will be played during the tournament. Find the number of participants.  Choose the most appropriate option: A) 15 B) 16 C) 17 D) 18 E) 19

Solution: Let P be the number of participants.   PC2 = 120   (P)(P-1) = 240 = 16*15   P = 16   The answer is 16.
Answer: B
A wolf eats 5.5 Kg of meat in 2 days. A baby tiger eats 3 Kg of meat in 4 days. How much meat can the two combined eat in two days?	Choose the correct choice from the following choices:
A) 10.
B) 9.
C) 8.
D) 7.
E) 6.

Solution: 2/2*5.5+2/4*3= 
2/2*5.5+2/4*3 = 7
7 kg   7.
Answer: D
A sum of money when distributed among friends is in the ratio of 3:4:5, if the amount is the larger 3digit number divisible by 24, what is the share of 3rd person?
Select:
A) 400 B) 410 C) 420 D) 430 E) 440

Solution: Largest 3 digit number divisible by 24= 984   So their shares are (984*3/12=246) , (984*4/12=328) , (984*5/12=410)   ANSWER:410
Answer: B
The measure of the side of a square is multiplied by 5. If x represents the perimeter of the original square, what is the value of the new perimeter?	Choose the correct answer:
A) 3x	B) 4x	C) 5x	D) 12x	E) 27x

Solution: Original perimeter = x   Hence original side = x/4   New side = 5x/4   New perimeter = 4*5x/4 = 5x   5xorrect Option: 5x4*5 /4= 
4*5 /4 = 5
5x   5xorrect Option: 5x
Answer: C
A computer factory produces 4032 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?	Choose the correct option.
A) 2.25. B) 3.00. C) 4.5. D) 5.225. E) 6.25.

Solution: Number of hours in 28 days = 28*24   Number of 30 mins in 28 days = 28*24*2   Number of computers built every 30 mins = 4032/( 28*24*2)= 
4032/( 28*24*2) = 3
3   Answer 3.00.
Answer: B
S(n) is sum of first n natural numbers, Z(n) = 2S(n)+41, lowest value of n such that Z(n) is NOT a prime.	Choose the correct answer.
A) 7
B) 6
C) 40
D) always a prime
E) none

Solution: as the sum of first N natural numbers is   S(n)=n/2(1+n)   so z(n)=2(s(n))+41=2*n/2(1+n)+41=n(1+n)+41   Now put all the given options one by one   take n=7   z(7)=7(7+1)+41=56+41= 
56+41 = 97
97 a prime number   take n=6   z(6)=6(6+1)+41=41+41=83 again a prime number   now take n=40   z(40)=40(40+1)+41=40*41+41=41(40+1)=41*41= 
41*41 = 1_681
1681 not a prime number   ANSWER:40
Answer: C
A boat can travel with a speed of 14 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 72 km downstream.
Choose the correct option:
A) 4.25 hr	B) 3.6 hr	C) 8.25 hr	D) 2.25 hr	E) 2.50 hr

Solution: speed of boat in still water = 14 km/hr   speed of the stream = 6 km/hr   Speed downstream = (14+6)= 
(14+6) = 20
20 km/hr   Time taken to travel 72 km downstream= 72â„20 =3.6 hours   Answer is 3.6 hr
Answer: B
A and B starts a business with Rs.8000 each, and after 5 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?  Choose the correct choice from the following options.
A) 36:23 B) 18:23 C) 18:10 D) 18:14 E) 14:11

Solution: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 5 months and then withdraws Rs.4000. So, the investment of B for remaining 13 months is Rs.4000 only.   36:23 : B   8000*18 : (8000*5) + (4000*13)   14400 : 92000   36:23:B = 36:23   36:23nswer: 36:23
Answer: A
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 4 days?
Select the correct option:
A) 2/5
B) 1/6
C) 1/4
D) 1/9
E) 2/9

Solution: A's one day's work = 1/30   B's one day's work = 1/45   (A + B)'s one day's work = 1/30 + 1/45 = 1/18   The part of the work completed in 4 days = 4 (1/18) = 2/9.   ANSW2/9R 2/9
Answer: E
1,5,6 ,25, 26,30,31, 125,126,130,131,150,151,155,156,……… What is the value of 33rd term in the
given series	Choose the correct option.
A) 3124  B) 3125  C) 3126  D) 3127  E) 3128

Solution: 1st terms gives 2nd and 3rd terms   1st term is 1   2nd term   1*5= 
  1*5 = 5
5 3rd term= 5+1= 
5+1 = 6
6   similarly,   4th term=5*5= 
5*5 = 25
25 5th term=25+1= 
25+1 = 26
26   1st term gives 2nd and 3rd values   2nd term gives 4th and 5th values   lke wise   16th term gives 32nd and 33rd values   16 th term is 125*5= 
125*5 = 625
625   32nd term is   625*5= 
  625*5 = 3_125
3125 and 33rd value is 3126   ANSWER:3126
Answer: C
How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ? Options:
A) 15s  B) 20s  C) 25s  D) 30s  E) 35s

Solution: 30sistance = 500m   Speed = 63 -3 km/hr = 60 km/hr = 600/36 m/s = 50/3 m/s   Time taken = distance/speed = 500/(50/3)= 
500/(50/3) = 30
30 s   Answer is 30s.
Answer: D
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is: Pick one
A) 1 : 3
B) 3 : 2
C) 3 : 4
D) 4:3
E) None of these

Solution: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.   ANSWER:3 : 2
Answer: B
A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be:	Select the correct option:
A) filled in 12 min  B) emptied in 12 min  C) filled in 8 min  D) emptied in 8 min  E) emptied in 10 min

Solution: work done by both taps= 1/15+(-1/8)= -7/120 so tank will be emptied becoz of minus sign.   so time taken= 120/7   given the tank is already half filled   so another half will be emptied in 120/7*1/2   nearly 8 minutes   ANSWER:emptied in 8 min
Answer: D
Walking with 4/5 of my usual speed, I miss the bus by 7 minutes. What is my usual time?  Choose the most appropriate option:
A) 16 min B) 26 min C) 28 min D) 20 min E) 12 min

Solution: Speed Ratio = 1:4/5 = 5:4Time Ratio   = 4:51 -------- 7 4 --------- ? è 28   Answer: 28 min
Answer: C
If the S.P of Rs. 36 results in a 10% discount on the list price, What S.P would result in a 20% discount on the list price?  Choose the correct choice from the following answers.
A) s. 29
B) s. 30
C) s. 31
D) s. 32
E) s. 33

Solution: Let the list price be Rs. X,   90/100*x = 36, x = 36*100/90= 
36*100/90 = 40
40   Required S.P= 80% of Rs. 40   = 80*40/100= 
80*40/100 = 32
32   ANSWER:s. 32
Answer: D
A constructor estimates that 4 people can paint Mr.. Rajeev's house in 5 days. If he uses 5 people instead of 4,how long will they take to complete the job?	Select:  A) 2  B) 8  C) 1  D) 3  E) 4

Solution: 4xplanation:   Use formula For a work Members Ã— days = constant   4 Ã— 5 =5 Ã—A   A = 4   so answer is 4 days   Answer: 4
Answer: E
How many numbers up to 500 are divisible by 23?  Choices
A) 11	B) 76	C) 21	D) 23	E) 25

Solution: Explanation:   500/23 = 21 17/23 => 21 Numbers   Answer: 21
Answer: C
How long does a vehicle 150 m long traveling at 50 kmph takes to cross a bridge of 150 m in length?
Choose the correct choice from the following:  A) 16.7  B) 21.6  C) 26.5  D) 26.1  E) 56.2

Solution: D = 150 + 150= 
150 + 150 = 300
300 m   S= 50 * 5/18 = 125/9   T = 300 * 9/125= 
300 * 9/125 = 108/5 = around 21.6
21.6 sec   Answer:21.6
Answer: B
There are 7 periods in each working day of a school. In how many ways can one organize 4 subjects such that each subject is allowed at least one period?  Pick one.
A) 15345
B) 15120
C) 15609
D) 15680
E) None of these

Solution: 6 subjects can be arranged in 7 periods in 7P6 ways.   Remaining 1 period can be arranged in 6P1 ways.   Two subjects are alike in each of the arrangement. So we need to divide by 2! to avoid overcounting.   Total number of arrangements = (7P6 x 6P1)/2! = 15120   ANSWER:15120
Answer: B
A jogger running at 9 km/hr along side a railway track is 200 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?  Choose the correct choice: A) 76 sec B) 67 sec C) 98 sec D) 36 sec E) 32 sec

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 200 + 120= 
200 + 120 = 320
320 m.   Time taken= 320/10= 
320/10 = 32
32 sec.   Answer:32 sec
Answer: E
If a(a + 5) = 36 and b(b + 5) = 36, where a ≠ b, then a + b =
Choices
A) −48 B) −5 C) 2 D) 46 E) 48

Solution: i.e. if a = 4 then b = -9   or if a = -9 then b = 4   −5ut in each case a+b = -9+4 = -5   Answer: option −5
Answer: B
Tom, who has 50 math questions, will get 7 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 3 points per question. Then, which of the following can be the score if he solves all the 50 questions? Choose the correct choice from the following answers
A) 190	B) 193	C) 194	D) 195	E) 196

Solution: Let x be the correctly answered questions. y be the wrongly answered/ skipped ones.   We have x + y = 50;   Score = 7x-3y   3x+3y = 150; 7x-3y = Score;   ==> 10x = 150+Score;   check for answer choices where 150+Score is divisible by 10   Choice (190) 190 fits the equation !
Answer: A
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 7 days. B can do the work alone in?
Pick one.
A) 19
B) 12
C) 11
D) 42
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) = 1/7   6/x = 1/7 => x = 42   So, B takes 21 hours to finish the work.   Answer: 42
Answer: D
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Options: A) 2.5 B) 2.7 C) 2.9 D) 2.3 E) 2.1

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 100/40= 
100/40 = 5/2 = around 2.5
2.5 sec.   2.5nswer: 2.5
Answer: A
A present value of a machine is $128000. Its value depletiation rate is 25% per annum then find the machine value after 4 years?
Options.
A) A)$54000  B) B)$48000  C) C)$36520  D) D)$32450  E) E)$40500

Solution: P= $128000   R = 25%   T = 3 years   Machine value after 3years = P/(1-R/100)^T   =128000*3/4 * 3/4 * 3/4 * 3/4= 
128000*3/4 * 3/4 * 3/4 * 3/4 = 40_500
$40500   Answer is $40500
Answer: E
Three fourth of the roads from A to B are at least 5 miles long, and 1/4 of the roads from B to C are at least 5 miles long. If you randomly pick a road from A to B and then randomly pick a road from B to C, what is the probability that at least one of the roads you pick is at least 5 miles long?	Choose the correct choice from the following answers.
A) 1/6 B) 1/4 C) 2/3 D) 13/16 E) 13/61

Solution: So please:   Find the probability of the event thatnoneof the roads you pick will be at least 5 miles long and subtract from 1 to get the probability thatat least oneof the roads you pick will be at least 5 miles long: P=1-1/4*3/4=13/16.   Answer: 13/61.
Answer: E
Charlie, a painter, has 9 jars of paint: 4 are violet, 2 are yellow, and the rest are brown. Charlie will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions:
1) C1, if the paint contains 2 jars of brown paint and no violet paint
2) C2, if the paint contains 3 jars of brown paint.
3) J1, if the paint contains at least 2 jars of violet paint
4) J2, if the paint contains exactly 1 jar of violet paint
What is the probability that the new colour will be a shade of J (J1 or J2)?	Choose the correct choice:	A) 37/42	B) 35/42	C) 37/21	D) 74/21	E) 42/37

Solution: the probability that it would be J1 or J2 is same as 1-()probability that it is C1 or C2   For C1-3C2(Brown)*2C1(Yellow)=3*2= 
3*2 = 6
6   For C2-3C3(all brown)=1   Total=9C3=84   1-7/84=77/84= 37/42   37/42nswer : 37/42
Answer: A
The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?	Choose the correct choice from the following options
A) 33  B) 94  C) 77  D) 266  E) 12

Solution: Let the number be in the form of 10a + b   Number formed by interchanging a and b = 10b + a.   a + b = 13 --- (1)   10b + a = 10a + b - 45   45 = 9a - 9b => a - b = 5 --- (2)   Adding (1) and (2), we get   2a = 18 => a = 9 and b = 4   The number is: 94.   Answer: 94
Answer: B
Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 25kmph and Prasanna moves southward at a speed of 35 kmph. How far will be Prasanna from Laxmi after 60 minutes ?	Choose the correct choice:
A) 11
B) 50
C) 60
D) 27
E) 18

Solution: Explanation:   We know 60 min = 1 hr   Total northward Laxmi's distance = 25kmph x 1hr = 25 km   Total southward Prasanna's distance = 35kmph x 1hr = 35 km   Total distance between Prasanna and Laxmi is = 25 + 35= 
25 + 35 = 60
60 km.   Answer: 60
Answer: C
A boatman goes 4 km against the current of the stream in 4 hour and goes 1 km along the current in 20 minutes. How long will it take to go 6 km in stationary water?  Choose the correct option:
A) 5 hours	B) 1 hours	C) 3 hours	D) 2 hours	E) 4 hours

Solution: Speed upstream =4/4= 
4/4 = 1
1 km/hr   Speed downstream= 1/(20/60)= 
1/(20/60) = 3
3 km/hr   Speed in still water= 1/2(3+1)=2 km/hr   Time taken to travel 6 km in still water =6/2= 
6/2 = 3
3 hours   ANSWER:3 hours
Answer: C
Vijay bought 160 shirts at the rate of Rs. 210 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?  Choose the most appropriate option
A) s.225  B) s.288  C) s.485  D) s.267  E) s.282

Solution: Total CP per shirt = 210 + 1400/160 + 1.75 + 320/160 = Rs. 222.5   SP = CP[(100 + profit%)/100]   = 222.5 * [(100 + 20)/100] = Rs.267.   Answer:s.267
Answer: D
If 0.2 of a number is equal to 0.08 of another number, the ratio of the numbers i Choose one:
A) 2 : 3 B) 2 : 5 C) 3 : 20 D) 20 : 3 E) None

Solution: Sol.   0.2A = 0.08 B â‡” A / B = 0.08 / 0.20 = 8/20 = 2/5   âˆ´ A : B = 2 : 5.   Answer 2 : 5
Answer: B
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in  Choose one:
A) 3 days B) 4 days C) 4 1/5 days D) 5 days E) 7 days

Solution: That is, 1 person can do one time of the work in 3 days.   Therefore, 7 persons can do 7 times work in the same 3 days itself.   3 days
Answer: A
Which number can we add to 859722 to get a number exactly divisible by 456?	Pick one.
A) 294	B) 306	C) 318	D) 338	E) 362

Solution: 859722 / 456 = 1885 with a remainder of 162.   We need to add 456 - 162= 
456 - 162 = 294
294   The answer is 294.
Answer: A
What will be 90 percent of a number whose 200 percent is 90 ?  Choose the correct answer:
A) 144
B) 72
C) 40.5
D) None of these
E) Cannot be determined

Solution: Answer   ∵ 200% of N = 90   ⇒ N = (90 x 100) / 200 = 45   ∴ 90% of N = (90 x 45) / 100 = 40.5   40.5orrect Option: 40.5
Answer: C
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 11 units? Pick one:
A) 140 sq.units
B) 170 sq.units
C) 154 sq.units
D) 940 sq.units
E) 149 sq.units

Solution: Explanation:   Given that the area of the square = 1225 sq.units   => Side of square = √1225 = 35 units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 11 units   Area of the rectangle = lb = 14 * 11= 
14 * 11 = 154
154 sq.units   Answer: Option 154 sq.units
Answer: C
A set of numbers has the property that for any number t in the set, 3t + 1 is in the set. If -1 is in the set, which of the following must also be in the set?
I. -3
II. 10
III. 5	Choose the correct choice from the following answers:
A) I only	B) II only	C) I and II only	D) II and III only	E) I, II, and III

Solution: The question is which of the followingmustbe in the set, notcouldbe in the set.   If -1 is in the set so must be 3*-1+1=-2, as -2 is in the set so must be 3*-2+2=-4, as -4 is in the set so must be 3*-4+2=10 and so on.   Answer: II only.
Answer: B
Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 120 pages? Choose the correct choice from the following
A) 8 hours 15 mins
B) 8 hours
C) 9 hours
D) 7 hours
E) 6 hours

Solution: Pages typed by Anil in 1 hour = 32/6 = 16/3   Pages typed by Suresh in 1 hour = 40/5= 
40/5 = 8
8   Pages typed by Anil and Suresh in 1 hour= 16/3 + 8 = 40/3   Time taken to type 120 pages when Anil and Suresh work together = 120 × 3 /40 = 9   = 9 hour   Answer is 9 hours.
Answer: C
Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 27 percent ryegrass, what percent of the weight of this mixture is X ?
Choose the correct choice:
A) 10% B) 13.33 % C) 40% D) 50% E) 66.66 %

Solution: ---------------->Ryegrass   X-------------->	40%   Y-------------->	25%   M(mixture)---->27%   0.4X + (M-X)0.25 = 0.27M   0.15X = 0.02M   X = 0.1333M   X = 13.33% of M   13.33 %
Answer: B
Calculate the number of revolutions a circular wheel of 4.6 m radius will make to travel a distance of 1 km?  Answers
A) 28414.2	B) 28914.2	C) 21914.2	D) 28944.2	E) 12914.2

Solution: 2 * 22/7 * 4.6 * x = 28914.3   x = 1000   Answer: 28914.2
Answer: B
In a certain lottery, the probability that a number between 1 and 15, inclusive, is drawn is 1/3 . If the probability that a number 1 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 15 is drawn?	Choose the correct choice
A) 2/3
B) 1/3
C) 1/4
D) 1/6
E) 2/5

Solution: You can simply use sets concept in this question. The formula   Total = n(A) + n(B) - n(A and B) is applicable here too.   Set 1: Number 1 or larger   Set 2: Number 15 or smaller   1 = P(Set 1) + P(Set 2) - P(Set 1 and Set 2) (combined probability is 1 because every number will be either12 or moreOR20 or less OR both)   2/3 + P(Set 2) - 1/3 = 1   P(Set 2) = 2/3   2/3nswer 2/3
Answer: A
What is the Area? If The volume of a Square is 22cm.
Choices:
A) 1
B) Not sufficient data
C) 5
D) 11
E) 7

Solution: The answer is not efficient data to calculate. There is no volume in Square. So we can't determine the area.   Answer is option Not sufficient data
Answer: B
7 does not occur in 1000. So we have to count the number of times it appears between 1 and 999. Any number between 1 and 999 can be expressed in the form of xyz where 0 < x, y, z < 9.
Choose the correct option.
A) 200
B) 300
C) 400
D) 500
E) 470

Solution: 1. The numbers in which 7 occurs only once. e.g 7, 17, 78, 217, 743 etc   This means that 7 is one of the digits and the remaining two digits will be any of the other 9 digits (i.e 0 to 9 with the exception of 7)   You have 1*9*9= 
1*9*9 = 81
81 such numbers. However, 7 could appear as the first or the second or the third digit. Therefore, there will be 3*81= 
3*81 = 243
243 numbers (1-digit, 2-digits and 3- digits) in which 7 will appear only once.   In each of these numbers, 7 is written once. Therefore, 243 times.   2. The numbers in which 7 will appear twice. e.g 772 or 377 or 747 or 77   In these numbers, one of the digits is not 7 and it can be any of the 9 digits ( 0 to 9 with the exception of 7).   There will be 9 such numbers. However, this digit which is not 7 can appear in the first or second or the third place. So there are   3 * 9= 
  3 * 9 = 27
27 such numbers.   In each of these 27 numbers, the digit 7 is written twice. Therefore, 7 is written 54 times.   3. The number in which 7 appears thrice - 777 - 1 number. 7 is written thrice in it.   Therefore, the total number of times the digit 7 is written between 1 and 999 is  243 + 54 + 3= 
 243 + 54 + 3 = 300
300   Option 300
Answer: B
what comes next?
7, -35, -34, -3, 15, 16, 4
Choose the correct option:	A) -20	B) -15	C) 5	D) 21	E) 33

Solution: 7*-5=-35, then -35+1=-34   -3*-5= 
-3*-5 = 15
15,then   15+1= 
  15+1 = 16
16   so 4*-5=-20   -20NSWER:-20
Answer: A
The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?  Choose the correct option
A) 48, 36
B) 36, 48
C) 32, 48
D) 48, 32
E) 32, 42

Solution: 2x = 84 − 12   = 72.   x = 72/2= 
72/2 = 36
36.   This is the first number. Therefore the other number is   x + 12= 36 + 12= 
36 + 12 = 48
48.   The sum of 36 + 48 is 84.   Answer is 36, 48.
Answer: B
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square? Choose the correct choice from the following options.
A) 176 cm	B) 800 cm	C) 126 cm	D) 269 cm	E) 172 cm

Solution: Area of the square = s * s = 5(125 * 64)   => s = 25 * 8= 
25 * 8 = 200
200 cm   Perimeter of the square= 4 * 200= 
4 * 200 = 800
800 cm.   Answer:800 cm
Answer: B
A total of 22 men and 28 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women? Select:
A) 31 B) 31.5 C) 32.6 D) 32.5 E) 33

Solution: Let Aw = average age of women   Average = (Number of men X average age of men + Number of women X average age of women)/total number of people   35 * 50 = 22 * 38 + 28 * Aw   =>1750 = 836 + 28 Aw   => 28 Aw = 914   =>Aw = 32.6   Answer 32.6
Answer: C
Sara and Alan start a company with Rs.100000 and Rs.50000 respectively. how should they share their profits at the end of one year?	Choose the correct option:  A) 2:1  B) 3 by 4  C) 3:8  D) 3:1  E) 3:2

Solution: The ratio of the investments made by 2:1 and B =   100000: 50000=> 2:1.2:1nswer: 2:1
Answer: A
A natural number has 43 divisors (excluding 1 and itself) . What is the maximum number of distinct prime factors it can have ? Options:
A) 2  B) 3  C) 4  D) 5  E) None of these

Solution: no. of total divisors=43+2= 
43+2 = 45
45   If N=a^p*b^q*c^r.... then the number of factors of N = (p+1)(q+1)(r+1) ....   45=3*3*5   distinct prime factors are 3 and 5   2NSWER:2
Answer: A
The cost of 16 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?	Choose the correct option:
A) Rs 52.50	B) Rs 56	C) Rs 58.50	D) Rs 64.75	E) None of these

Solution: Explanation :   Let the required cost be Rs. x. Then,   More packets, More cost (Direct Proportion)   More weight, More cost (Direct Proportion)   Packets 16 : 27   Weight 900 : 1000 :: 28 : x   (16 x 900 x x) = (27 x 1000 x 28)   x = (27 x 1000 x 28) /16 x 900   = 105 /2= 
105 /2 = 105/2 = around 52.5
52.50   Rs 52.50nswer Rs 52.50
Answer: A