MU-NLPC/Calc-aqua_rat huggingface dataset:
One woman and one man can build a wall together in three hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them five hours to build the wall. Assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?  Choose one:
A) 5/2	B) 1	C) 10/7	D) 12/7	E) 22/7

Solution: Solution:Let work done by man, women and girl per hour be m,w,g respectively.   Then, m+w = 1/3-->(1) , w + 2g = 1/3-->(2) and m + g =1/5-->(3).   No. of hours it would take forone woman, one man, and one girl, working together, to build the wall,n = 1/m+w+g   From (1) and (2), m=2g and from (3) g=1/15,m=2/15 and w=1/5.   So, n = 1/(2/5) = 5/2   Option, 5/2
Answer: A
In how many ways can the letters of the word WAYS be arranged in a row so that the vowels appear in alphabetic order? Choose the correct choice from the following: A) 160 B) 220 C) 150 D) 120 E) 180

Solution: three letters can be arranged in 1! ways.   only one combination AEI is required.   4 letters can be arranged in 4! ways.   120
Answer: D
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?	Choose the correct choice from the following:
A) 6.25	B) 5.5	C) 7.4	D) 5	E) 5.2

Solution: Runs scored in the first 10 overs = 10 × 3.2 = 32   Total runs = 282   Remaining runs to be scored = 282 - 32= 
282 - 32 = 250
250   Remaining overs= 40   Run rate needed = 250/40= 
250/40 = 25/4 = around 6.25
6.25   6.25NSWER:6.25
Answer: A
If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+3) for all positive integers n, what is the third term of the sequence?	Choose the correct choice from the following choices: A) 3 B) 4 C) 6 D) 8 E) 9

Solution: Tn = nth term   T1 = 1st term   T2 = 2nd term   and so on...   Sn = Sum of first n terms of the sequence   Sn = 1st term + 2nd term + 3rd term + ... + nth term   Sn = T1 + T2 + T3 + ....Tn   You are given here thatSn is the SUM of first n terms...So you have   Sn = T1 + T2 + T3 + ....Tn = n(n+1)   So S1 = T1   S2 = T1 + T2   S3 = T1 + T2 + T3   and so on   S1 = T1 = 1*(1+1)= 
1*(1+1) = 2
2   S2= T1 + T2 = 2 + T2 = 2*(2+1)= 
2*(2+1) = 6
6   So T2= 4   S3 = T1 + T2 + T3 = 2 + 4 + T3 = 3*(3+1)= 
3*(3+1) = 12
12   So T3= 8   (This is what we wanted)   The third term is 8.   8
Answer: D
On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 130 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?  Choose the correct choice from the following options.
A) 260
B) 620
C) 500
D) 520
E) 720

Solution: Let the number of children in the school be x. Since each child gets 2 bananas, total number of bananas = 2x.   2x/(x - 130) = 2 + 2(extra)   => 2x - 260 = x => x = 260.   260NSWER:260
Answer: A
A school has received 60% of the amount it needs for a new building by receiving a donation of $300 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?	Select.
A) $200
B) $177.78
C) $100
D) $277.78
E) $377.78

Solution: Let the amount school needs = X   Let total people school plans to solicit = T   School has received 60 % of X => (3/5) X   People already solicited = 40% of T => (2/5) T   Now, as per the information given in the question :   (3/5)X = $400 . (2/5) . T --------------------------- 1   Remaning Amount is 40 % i.e ( 2/5 ) X ------because school has already received 60%   And the remaining people are 60 % i.e (3/5) .T -----because 40% of the people are already solicited   So, average contribution required from the remaining targeted people is   (2/5) X = (Amount required) . (3/5) . T ----------------------------------- 2   Divide eqn 1 by eqn 2   Amount required = $177.78   $177.78
Answer: B
The star running back on our football team got most of his total yardage
running. The rest was catching passes. He caught passes for 60 yards.
His total yardage was 150 yards. The running back for the other team
got 200 yards. How many yards did the star running back on our football
team get running?	Pick:  A) 50 yards  B) 60 yards  C) 70 yards  D) 80 yards  E) 90 yards

Solution: .The other team is extra information. 150 – 60 = 90   He got 90 yards running.   correct answer 90 yards
Answer: E
25 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) 24
B) 25
C) 44
D) 48
E) 50

Solution: n for cyclic hand shake and n-1 for linear handshake.   so here no of hand shake is 25.   ANSWER:25
Answer: B
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 26 km/hr. Find the total journey in km.  Select the correct option.
A) 220 km B) 224 km C) 230 km D) 200 km E) 234 km

Solution: 0.5x/10 + 0.5x/10 = 20   --> x/10 + x/10 = 40   --> 2x = 10x40   --> x = (10x40)/2 =200 km.   Answer : 200 km.
Answer: D
A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If18 were to be added to each score, which of these three statistics would change?	Select the correct option:
A) The mean only	B) The median only	C) The mean and the median	D) The standard deviation only	E) The mean and the standard deviation

Solution: The correct answer is The mean and the median.
Answer: C
In how many ways can you line up 7 people in a row if one of them, Stephen, cannot be in the middle or at the either end? Options
A) 2,880	B) 92	C) 1,100	D) 2,990	E) 3,200

Solution: Since Stephen cannot be placed in the middle or at either end (3 spots), then he can choose 4 spots to sit. The remaining 6 apples can be placed in in 6! ways. Thus the # of arrangements is 4*6! = 2,880.   2,880nswer: 2,880.
Answer: A
Arun borrowed a sum for 4 years on S.I. at 12%. The total interest paid was Rs. 360. Find the Principal. Pick.
A) Rs.700	B) Rs.650	C) Rs.800	D) Rs.750	E) Rs.850

Solution: Explanation :   P=100×SI/RT   =100×360/12×4   =100×30/4   =25×30   =750   Answer : Option Rs.750
Answer: D
14 men and 3 boys finish a job in 7 days, 14 men and 14 boys finish it in 6 days. 13 men and 13 boys shall finish it in how many days?	Answers.
A) 18
B) 07
C) 12
D) 19
E) 12

Solution: 14 M + 3 07 ----- 7 days   14 M + 14 07 ------- 6 days   13 M + 13 07 -------?   196 M + 42 07 = 182 M +182 07   14 M = 140 07 => 1 M = 10 07   140 07 + 3 07 = 143 07 ---- 7 days   130 07 + 13 07 = 143 07 -----? => 7 days   Answer: 07
Answer: B
Jim wishes to buy 3 gifts that cost 23 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts?  Choose the correct choice
A) $57 B) $47 C) $33 D) $17 E) $27

Solution: $23 + $9 + $12 = $44 needed   1/4 x $44 23 +  9 +  12= 
23 +  9 +  12 = 44
$44 needed   1/4 x $44= $11 on hand   $44 - $11 = $33 to earn   correct answer $3344 -  11= 
44 -  11 = 33
$33 to earn   correct answer $33
Answer: C
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?  Choose the correct choice from the following options:  A) 77 hrs  B) 81 hrs  C) 35 hrs  D) 17 hrs  E) 19 hrs

Solution: Suppose pipe A alone takes x hours to fill the tank.   Then, pipes B and C will take x/2 and x/4 hours respectively to fill the tank.   1/x + 2/x + 4/x = 1/5   7/x = 1/5 => x = 35 hrs.   Answer: 35 hrs
Answer: C
25 is subtracted from 75% of a number, the result is 50. Find the number?	Options:
A) 150
B) 75
C) 125
D) 95
E) 100

Solution: (75/100) * X â€“ 25 = 50   7.5X = 750   X = 100   Answer:100
Answer: E
J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 8 hours and M worked for 2 hours less than J. If M gave J y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J was paid in advance?	Choose the correct choice from the following answers:
A) a)4y	B) b)5y	C) c)6y	D) d)7y	E) e)9y

Solution: J and M were both paid x dollars   If M gave Y dollars from her X to J then at the end   J will have X+Y dollars   M will have X- Y dollars   Now since the hourly wages have to be same then   Hourly wage of J = (X+Y) / 8 (Since J worked for 8 hrs)   Hourly wage of M = (X-Y) / 6 (Since M worked 2 hrs less than J)   Equating both   (X+Y)/8=(X-Y)/6   on simplifying X=7Y   Answer d)7y
Answer: D
My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?  Choose the correct option:
A) 56 B) 72 C) 68 D) 91 E) 85

Solution: Let m be my age in years. If s is my son's age in years, then my son is 52s weeks old. If g is my grandson's age in years, then my grandson is 365g days old. Thus,   365g = 52s.   Since my grandson is 12g months old,   12g = m.   Since my grandson, my son and I together are 120 years,   g + s + m = 120.   The above system of 3 equations in 3 unknowns (g, s and m) can be solved as follows.   m / 12 + 365 m / (52 x 12) + m = 120 or   52 m + 365 m + 624= 
+ 624 = 624
624 x 120 or   m= 624 x 120 / 1041 = 72.   So, I am 72 years old.   correct answer is 72)72
Answer: B
A certain truck uses 18 gallons of diesel fuel in traveling 250 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
Options.
A) 8 B) 10 C) 12 D) 15 E) 27

Solution: There are two sets 18G1 gallons and 10G2 gallons details given.   18 gallons covering 250 miles   Then 1 G1 is used to cover 15 miles.   Now for 10 G2 covering 2750 miles.   then 1 G2 is used to cover 25 miles.   There must   25- 15= 
  25- 15 = 10
10 miles per gallon increment is needed for 10 gallons to improve the mileage to cover 270 miles.   IMO 10 is correct answer.
Answer: B
If all the sides of a right triangle increase in length by 5%, then by what percentage does the area of the triangle increase?  Pick
A) 10.25%  B) 20.50%  C) 25.75%  D) 30.25%  E) 35.50%

Solution: Let B be the base and H be the height of the original triangle.   The original area is (1/2)BH.   The area of the expanded triangle is (1/2)(1.05B)(1.05H) = (1.05)(1.05)(1/2)BH = 1.1025(1/2)BH   The answer is 10.25%.
Answer: A
A certain junior class has 1,000 students and a certain senior class has 800 students. Among these students, there are 40 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?  Options:
A) 3/40,000
B) 1/3,600
C) 1/20,000
D) 1/60
E) 1/15

Solution: Total number of ways of choosing one student from each group is = 800 * 1000   Number of cases in which a sibling pair will be got is = 40   Thus the probability that the 2 students selected will be a sibling pair is   = 40 /(800 * 1000)   = 1/20,000   1/20,000
Answer: C
The product of all the prime numbers less than 15 is closest to which of the following powers of 10?  Choose the correct choice from the following choices
A) 10^9
B) 10^8
C) 10^7
D) 10^6
E) 10^5

Solution: OA: 10^5
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?  Choose the correct choice from the following:
A) 140 m  B) 150 m  C) 160 m  D) 240 m  E) None

Solution: Sol.   Speed = [60 * 5/18] m/sec = [50/3] m/sec.   Length of the train = (Speed * Time) = [50/3 * 9= 
50/3 * 9 = 150
150m.   Answer 150 m
Answer: B
John has both apples and bananas. The ratio of apples to bananas is 2 to 5. If there are 6 more bananas than apples, how many bananas are there?
Answers
A) 8 B) 10 C) 12 D) 14 E) 16

Solution: Let B be the number of bananas, and A be the number of apples.   Since the ratio of A to B is 2 to 5, that means that A = 2/5B.   We also know that A = B-6. Therefore we can substitute:   10-6 = 2/510   Now we can solve for 10:   If we isolate 10, we see that:   3/510 = 6   And so   10 = 10
Answer: B
If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?  Pick one.
A) Rs. (ydS  B) s.	(xy/d)  C) Rs. (xd)  D) Rs. (yd/x)  E) Rs. (yd)

Solution: Explanation:   Cost of x metres = Rs. d.   Cost of 1 metre=Rs.(d/x)   Cost of y metres=Rs.[(d/x).y]=Rs.(yd/x)   Answer: Rs. (yd/x)
Answer: D
John's Bank's saving amount is decreased 20% due to loan payment and current balance is Rs.24000. Find the actual balance before deduction?	Options:
A) 8000	B) 8500	C) 9000	D) 9500	E) 30000

Solution: 20% decreased   80% Balance = 24000   100% = 24000/80*100= 
24000/80*100 = 30_000
30000   Answer : 30000
Answer: E
A company, Chauncy Co., has an annual travel budget of $60,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year? Select the correct option:
A) Expenses will not go over the budget.  B) $725  C) $4,225  D) $5,725  E) $60,725

Solution: annual travel budget of $60,000   Let, Transportation expenses = T = 19500   and Non-Transportation expenses = N=35000   i.e. Increased Transportation expenses = 1.05T = 20475   and Increased Non-Transportation expenses = 1.15N = 40250   Total Expense = 20475+40250= 
20475+40250 = 60_725
60725   Expense over $725udget= $725udget - expense = 60000-60725 = 725   Answer: Option $725
Answer: B
A man bets on no. 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes? Choose one.
A) 32:2  B) 35:1  C) 33:4  D) 36:23  E) 35:27

Solution: Each of the span is an independent event and the outcome of the 15th span will not depend on the outcome of the earlier spans.   Either ;35:1   35:1)
Answer: B
If abc = 1 , cde = 0 , and xyu = 0, which of the following must be zero? Choose the correct choice from the following choices
A) E	B) D	C) C	D) B	E) A

Solution: abc = 1 which means neither a / b/ c is 0   c x de = 0 , we know c is not 0 from above hence either d or e must be 0.   d x a x c = 0, we know from first expression that a and c are not 0 hence d =0.   OPTION D
Answer: B
The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm3 of metal used in the box weighs 0.5 gms, the weight of the box is?  Options
A) 6.882 kg	B) 6.932 kg	C) 8.832 kg	D) 6.832 kg	E) 3.832 kg

Solution: 52 * 40 * 29= 
52 * 40 * 29 = 60_320
60320   48 * 36 * 27= 46650   ------------   13664   13664 * 1/2= 
13664 * 1/2 = 6_832
6832=> 6.832 kg   Answer: 6.832 kg
Answer: D
The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?	Choose the correct choice from the following:	A) 76	B) 88	C) 66	D) 55	E) 40

Solution: Area of a triangle = r * s   Where r is the in radius and s is the semi perimeter of the triangle.   Area of triangle = 2.5 * 32/2= 
2.5 * 32/2 = 40
40 cm2   Answer:40
Answer: E
The radius of a semi circle is 6.83 cm then its perimeter is?	Choose the correct option: A) 32.52 B) 32.47 C) 34.97 D) 32.92 E) 32.33

Solution: 36/7 r = 6.3 = 34.97   Answer:34.97
Answer: C
There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?  Answers
A) 10240
B) 11
C) 11760
D) 812
E) None of these

Solution: We need to select 5 men from 8 men and 6 women from 10 women   Number of ways to do this   = 8117605 × 10117606   = 8117603 × 10117604 [∵ n11760r = n11760(n-r)]   =(8×7×6 / 3×2×1) (10×9×8×7 / 4×3×2×1)   =56×210=11760   Answer : 11760
Answer: C
There are 36 students in a certain geometry class. If one third of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall?
Choose the correct choice from the following choices:
A) 9 B) 12 C) 18 D) 24 E) 27

Solution: Total Students = 36   One third of the students are boys = 1/3*36= 
1/3*36 = 12
12   Three fourths of the boys are under six feet tall= 3/4*12= 
3/4*12 = 9
9 ...   Therefore Number of boys in the class under six feet tall= 9 ... Answer A....   Alternatively... Number of boys in the class under six feet tall = 3/4 of 1/3 of Total Students = 3/4*1/3*36 = 9...   9nswer 9
Answer: A
Nil and Ethan are brothers. They left their home
at the same time and drove to the same beach.
Nil drove at a speed of 40 miles per hour. Ethan
drove at a speed of 20 miles per hour. Nil
arrived at the beach 0.5 hour earlier than Ethan.
What is the distance between their home and the
beach?  Pick
A) 30 miles B) 40 miles C) 50 miles D) 60 miles E) 70 miles

Solution: Every hour, Nil gets ahead of Ethan  40 - 20= 
 40 - 20 = 20
20 miles. When Nil arrived at the beach, Ethan   is only 20 × 0.5= 10 miles behind. That tells us   they only drove 1 hour when Nil arrived at the   beach.   The distance between their home and the beach   is   Nil’s speed × Nil’s time   = 40 × 1 = 40 miles.   correct answer 40 miles
Answer: B
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Select.
A) 287 m  B) 278 m  C) 276 m  D) 270 m  E) 268 m

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m.   Answer:270 m
Answer: D
Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/8:1/3:1/4?
Choose the correct choice from the following answers:
A) Rs.224
B) Rs.216
C) Rs.100
D) Rs.300
E) Rs.400

Solution: 1/8:1/3:1/4 = 4:8:6   3/18*1300 = 216   ANSWER:Rs.216
Answer: B
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 6 men, 4 women and 10 children together complete the piece of work? Pick:  A) 5 days  B) 15 days  C) 28 days  D) 8 days  E) 7 days

Solution: Explanation:   1 man’s 1 day’s work = 1/8 × 12 = 1/96   6 men’s 1 day’s work = 1 × 6/96 =1/16   1 woman’s 1 day’s work = 1/192   4 women’s 1 day’s work = 1/192 × 4 = 1/48   1 child’s 1 day’s work = 1/240   10 children’s 1 day’s work = 1/24   Therefore, (6 men + 4 women + 10 children)’s 1 day’s work = 1/16 + 1/48 + 1/24   = 1/8   The required No. of days = 8 days   Answer: Option 8 days
Answer: D
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 51 kmph, find the speed of the stream?
Choose the most appropriate option:	A) 77	B) 88	C) 14	D) 12	E) 17

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 51/3= 
51/3 = 17
17 kmph.   Answer:17
Answer: E
How many digits are in the number 50^8 × 8^3 × 11^2 x 10^4?	Choose the correct answer
A) 22 B) 20 C) 19 D) 18 E) 17

Solution: Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10   50^8 × 8^3 × 11^2 x 10^4 = (5^2*2)^8*2^9*11^2 *10^4= 5^16*2^17*11^2*10^4 = 2*11^2*10^16*10^4 = 242*10^16 x 10^4   Hence we would have 16 trailing 0's and the three digits from 242   Total digits = 3 + 20= 
3 + 20 = 23
23   Correct Option: 18
Answer: D
David was born 5 years after his father's marriage. His mother is 4 years younger than his father but 20 years older than David who is 8 years old. At what age did the father get married ? Choose the correct answer: A) 19 years B) 20 years C) 21 years D) 18 years E) 17 years

Solution: Explanation:   David's present age = 8 years.   His mother's present age = (20 + 8)= 
(20 + 8) = 28
28 years.   His father's present age= (28 + 4)= 
(28 + 4) = 32
32 years.   His father's age at the time of David's birth= (32 - 8)= 
(32 - 8) = 24
24 years.   Therefore David's father's age at the time of marriage= (24 - 5)= 
(24 - 5) = 19
19 years.   19 yearsnswer: 19 years
Answer: A
A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct , then the correct answer would be :	Choose the correct choice
A) 288889 B) 556677 C) 555681 D) 267788 E) 268811

Solution: Explanation:   987 = 3 * 7 * 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 each one of 3, 7, 47.   Answer: 555681) 555681
Answer: C
In a hotel we can order two types of varieties, but we can make 8 more varieties in home. One can choose the four varieties with two from hotel as must. Find how many ways one can order. Choose the correct choice from the following answers:	A) 14	B) 15	C) 56	D) 28	E) 29

Solution: 2c2*8c2=28ways   ANSWER:28
Answer: D
Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?  Choose the correct answer:
A) 3377
B) 2889
C) 2522
D) 2678
E) 7111

Solution: A = 1600(21/20)3 = 2522   Answer: 2522
Answer: C
In climbing a round pole of 80 meters height, a monkey climbs 5 meters in a minute and slips 2
meters in the alternate minute. To get to the top of the pole, the monkey would take :  Choose the correct choice from the following choices.
A) 51 minutes B) 54 minutes C) 58 minutes D) 61 minutes E) 63 minutes

Solution: a monkey climbs 5 meters in one min & slips 2m in other min.   therefore the monkey reach 3meters in 2min   3m=2min   25*3m=25*2min - >75m=50min   hence the remaining 5m jumps the monkey in 1min to reach original height   so 51 min   51 minutesNSWER:51 minutes
Answer: A
Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim? Choose the correct answer:
A) 77	B) 60	C) 99	D) 26	E) 21

Solution: Kim's wages : David's wages = Kim's 1 day work : David's 1 day work = 1/3 : 1/2 = 2:3   Kim's share = 2/5 * 150 = Rs. 60   Answer: 60
Answer: B
When n is divided by 19, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?	Choose the correct choice from the following answers
A) 3
B) 7
C) 10
D) 13
E) nineteen

Solution: N = 19 q + 6   N = 11 z + 6   Equating   19 Q + 6 = 11z +6   11z=19q   11z/19 = q   since q is an integer Z must be divisible by 19.   ANSWnineteenR:nineteen
Answer: E
On dividing 22 by a number, the quotient is 7 and the remainder is 1. Find the divisor.  Choose one
A) 1 B) 2 C) 3 D) 6 E) 7

Solution: d = (D-R)/Q   = (22 - 1)/7   = 21/7= 
21/7 = 3
3   3
Answer: C
An artist wishes to paint a circular region on a square poster that is 3.4 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet?
Choose the correct choice from the following options
A) 1/pi	B) sqrt(2/pi)	C) 1	D) 2/sqrt(pi)	E) sqrt(5.78/pi)

Solution: Area of the poster is 3.4x3.4 = 11.56   1/2 the area = 5.78   pi*r^2 = 5.78   r^2 = 5.78/pi   r = sqrt(5.78/pi) answer (sqrt(5.78/pi))
Answer: E