MU-NLPC/Calc-aqua_rat huggingface dataset:
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is? Choose the correct choice from the following.
A) 7/19
B) 7/17
C) 7/18
D) 7/11
E) 7/15

Solution: Drawing two balls of same color from seven green balls can be done in ways.   Similarly from eight white balls two can be drawn in ways.   7/15   Answer: 7/15
Answer: E
In two triangle, the ratio of the areas is 4:3 and that of their heights is 3:4 the ratio of their bases is  Choose the correct choice from the following choices:	A) 16:9	B) 9:16	C) 9:12	D) 16:12	E) 4:12

Solution: Explanation:   Given a1/a2 =4/3, h1/h2=3/4   also, we know that   a1/a2=(1/2×b1×h1)/(1/2×b2×h2)   on substituting in above equation, we get   b1/b2= 16/9   therefore b1:b2= 16:9   16:9nswer: Option 16:9
Answer: A
seven friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $530. If one of the friends had a coupon for 32% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Select the correct option
A) $90 B) $70 C) $51 D) $37 E) $35

Solution: 530 * 0,32 = 169   530 - 169= 
530 - 169 = 361
361   361 / 7= 51   Answer $51
Answer: C
If a traveller was offered 5 city in asia and 11 city in europe and asked to chose atleast 3 city in asia and overall a 11 city. How many ways can he travel
Choose the correct choice from the following choices.
A) 2854 B) 2958 C) 3156 D) 3762 E) 6835

Solution: 5c3*11c8+5c4*11c7+5c5*11c6=3762 ways   ANSWER:3762
Answer: D
A trader sells 2 oranges per rupee, calculate the profit loss percentage if the trader bought the oranges at 3 per rupee. Choose the correct choice from the following options.
A) 22 % B) 55 % C) 35 % D) 40 % E) 50 %

Solution: Let he total number of oranges bought by the shopkeeper be 12.   If he buys 3 a rupee, his CP = 2   He selling at 2 a rupee, his SP = 3   Profit = SP - CP = 3 - 2= 
3 - 2 = 1
1   Profit Percent= 1/2 * 100= 
1/2 * 100 = 50
50 %   Answer: 50 %
Answer: E
An eccentric casino owner decides that his casino should only use chips in $3 and $5 denominations. Which of the following amount cannot be paid out using these chips?  Choose the most appropriate option
A) $19 B) $21 C) $14 D) $9 E) $11

Solution: Yes, the number of 3 or/and 5 dollar chips can be zero, however both being zero mean that the casino is paying out $0, which is not realistic.   Each option but E can be represented as the sum of a multiple of 3 and a multiple of 5:   A. $19 = 3*3 + 5*2   B. $21 = 3*2 + 5*3   C. $14 = 3*3 + 5*1   E. $9 = 3*3   Answer: $11.
Answer: E
An airplane travels 4362 km against the wind in 6 hours and 5322 km with the wind in the same amount of time. What is the rate of the plane in still air?  Choose one
A) 344 km/hr	B) 767 km/hr	C) 807 km/hr	D) 908 km/hr	E) 555 km/hr

Solution: Let the speed of the air plane in still air be x km/hr   And the speed of the wind be y km/hr.   Then speed of the airplane going with the wind = (x + y) km/hr   and speed of the airplane going against the wind = (x - y) km/hr.   We know that,   Distance = Speed ? Time   or, Speed = Distance   Time   According to the problem,   An airplane travels 4362 km against the wind in 6 hours   x - y = 4362/6   or, x - y = 727 ----------- (1)   Again, the airplane travels 5322 km with the wind in the same amount of time i.e. 6 hours   x + y = 5322/6   or, x + y = 887 ----------- (2)   Now add (1) and (2) we get,   x - y = 727   x + y = 887   2x = 1614   or, 2x/2 = 1614/2, (Divide both sides by 2)   or, x = 807   Now substitute the value of value of x = 807 in equation (2) we get,   807 + y = 887   -807 -807, (Subtract 407 from both sides)   y = 80   Answer: Rate of the plane in still air = 807 km/hr   correct answer 807 km/hr
Answer: C
Which of the following describes all values of x for which 16-x^2 ≥ 0 ?
Choose one.
A) x ≥ 1	B) x ≤ -1	C) 0 ≤ x ≤ 1	D) x ≤ -1 or x ≥ 1	E) -4 ≤ x ≤ 4

Solution: 16-x^2 >= 0 ---> x^2-16<=0   --> (x+4)(x-4)<=0   Above equation true for   i) x+4<=0 and x-4>=0 ---> x<= -4 and x>=4 ---> this is not possible ---Strike out this solution   ii) x+4>=0 and x-4<=0 ---> x>=-4 and x<=4 --> -4<=x<=4   answer -4 ≤ x ≤ 4
Answer: E
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 33 kmph. Of how many minutes does the train stop per hour?
Choose the correct choice from the following options.
A) 73
B) 83
C) 16
D) 83
E) 28

Solution: Explanation:   T = 12/45 * 60= 
12/45 * 60 = 16
16   Answer: Option 16
Answer: C
A tank is filled in SIX hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?	Select the correct option:
A) 56 hours
B) 28 hours
C) 55 hours
D) 66 hours
E) 21 hours

Solution: 1/A + 1/B + 1/C = 1/6 (Given)   Also given that A = 2B and B = 2C   => 1/2B + 1/B + 2/B = 1/6   => (1 + 2 + 4)/2B = 1/6   => 2B/7 = 6   => B = 21 hours.   Answer: 21 hours
Answer: E
Kelly and Jody packed boxes with books. If Jody packed 80% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?	Select the correct option:
A) 1 to 6 B) 1 to 4 C) 2 to 5 D) 3 to 5 E) 2 to 3

Solution: Explanation:   If Jody packed 80% of the boxes then Kelly packed 20%. The ratio of the number of boxes Kelly packed to the number Jody packed is thus 20%/80%=1/4   Answer: Option 1 to 4
Answer: B
Jim’s Taxi Service charges an initial fee of $2.05 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?  Choose the correct answer.
A) $5.20 B) $4.45 C) $4.80 D) $5.05 E) $5.40

Solution: Let the fixed charge of Jim’s Taxi Service = 2.05 $   and charge per 2/5 mile(.4 mile) = .35$   Total charge for a trip of 3.6 miles = 2.05 + (3.6/.4) * .35   = 2.05 + 9*.35= 
2.05 + 9*.35 = 5.2
5.2 $   $5.20nswer $5.20
Answer: A
A person travels first 100km at 40km/hr and the next 100km at 60km/hr. The average speed for the first 200km of the tour is? Select the correct option.
A) 36km/hr  B) 50km/hr  C) 48km/hr  D) 60km/hr  E) 55km/hr

Solution: Total time taken = 100/40 + 100/60 = 25/6 hrs   Average speed = 200*6/25= 
200*6/25 = 48
48km/hr   Answer is 48km/hr
Answer: C
The area of the largest circle that can be drawn inside a square of side 56 Cm in length is:	Choose the correct choice from the following:
A) 2464
B) 2052
C) 3201
D) 4202
E) 1200

Solution: Radius of required circle = 28 Cm   its area = 22/7 × 28 × 28   88 × 28 = 2464 Cm(power)2   2464nswer is 2464.
Answer: A
Number N is randomly selected from a set of all primes between 10 and 40, inclusive. Number D is selected from a set of all multiples of 5 between 10 and 40 inclusive. What is the probability that N+D is odd? Options:
A) 1/2  B) 2/3  C) 3/4  D) 4/7  E) 5/8

Solution: All primes except 2 are odd, thus N must be odd. For N + D = odd + D to be odd, D must be even.   There are 7 multiples of 5 between 10 and 40, inclusive: 10, 15, 20, 25, 30, 35, and 40. Out of them 3 (15, 25, and 35) are odd.   Therefore the probability that N + D is odd is 4/7.   Answer: 4/7.
Answer: D
What is the units digit of the product of the first 100 odd numbers?  Choose the correct answer:
A) 1
B) 3
C) 0
D) 5
E) 7

Solution: 1*3*5*7 ................... will end up in 5 in the units place   Answer : 5
Answer: D
A rectangular floor is covered by a rug except fo a strip q meters along each of the four edges. If the floor is m meters by n meteres, What is the area of the rug in square meters?	Choose the correct choice from the following choices.
A) mn - p(m+n)
B) mn – 2p(m+n)
C) mn – p^2
D) (m - p)(n - p)
E) (m - 2q)(n - 2q)

Solution: The answer must be E.   Plug in M 100   N 50   q 10=(m - 2q)(n - 2q)
Answer: E
Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/5 full and other jar 1/4 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water? Choose the correct choice from the following answers:
A) 1/7
B) 2/5
C) 1/2
D) 7/12
E) 2/3

Solution: Same amount of water made bigger jar 1/5 full, then the same amount of water(stored for a while in smaller jar) were added to bigger jar, so bigger jar is 1/5+1/5=2/5 full.   Answer: 2/5.
Answer: B
A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 39 grams of protein daily, how many grams of food X are in the mixture.	Choices:
A) 120
B) 140
C) 150
D) 160
E) 200

Solution: Let x be the amount of food X.   0.1x + 0.15(300-x) = 39   0.05x = 6   x = 120   The answer is 120.
Answer: A
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 13 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Pick
A) 11  B) 408  C) 2881  D) 287  E) 221

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 13 + 21= 
13 + 21 = 34
34   T= 12   D = 34 * 12= 
34 * 12 = 408
408   Answer:408
Answer: B
Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 60°C, what is the temperature of the pot of water in °F?  Pick one.
A) 132°F  B) 140°F  C) 148°F  D) 156°F  E) 164°F

Solution: Let F and C denote the temperature in Fahrenheit and Celsius respectively.   (F - 32) /(212 - 32) = (C - 0)/(100 - 0)   F = 9C/5 + 32   F = 9(60)/5 + 32 = 140°F   The answer is 140°F.
Answer: B
A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?	Choose the most appropriate option.
A) 3477  B) 2688  C) 2699  D) 1200  E) 2671

Solution: Let the parts be x, y and [2600 - (x + y)].   Then,   (x * 4 * 1)/100 = (y * 6 * 1)/100 = {[2600 - (x + y)] * 8 * 1}/100   y/x = 4/6 = 2/3 or y = 2/3 x   So, (x * 4 * 1)/100 = [(2600 - 5/3 x) * 80/100   52x = (7800 * 8) => x = 1200   Money invested at 4% = Rs. 1200.   Answer:1200
Answer: D
A bag contains 26 purple jellybeans, 15 green jellybeans, and 9 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be yellow?  Select:
A) 18% B) 20% C) 25% D) 30% E) 35%

Solution: p = 26 , g=15 , y=9   total = 50   p(yellow)=(9/50)*100= 
(9/50)*100 = 18
18% . 18%ns= 18%
Answer: A
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school? Choose the correct choice:
A) 72	B) 80	C) 120	D) 100	E) 150

Solution: Let the number of students be x. Then,   Number of students above 8 years of age = (100 - 20)= 
(100 - 20) = 80
80% of x.   80% of x= 48 +2/3of 48   (80/100)x = 80   x = 100.   ANSWER 100
Answer: D
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is: Choose the correct choice from the following answers:
A) 3/21 B) 2/91 C) 4/91 D) 8/81 E) 9/72

Solution: Let S be the sample space.   Then, n(S)	= number of ways of drawing 3 balls out of 15   = 15C3   = (15*14*13)/(3*2*1)= 
(15*14*13)/(3*2*1) = 455
455   Let E= event of getting all the 3 red balls   n(E) = 5C3 = 5C2 =(5*4)/(2*1)= 
(5*4)/(2*1) = 10
10   P(E)=n(E)/n(S)   = 10/455   = 2/91   Answer should be 2/91
Answer: B
What is the remainder when the number R=14^2 * 15^8 is divided by 5?
Choose the correct choice from the following choices:
A) 0  B) 1  C) 2  D) 4  E) 5

Solution: 14^2 has units digit 6   15^8 has units digit 5   Thus R=14^2*15^8 has units digit 0 and will be divisible by 5. The remainder will be zero   0nswer: (0)
Answer: A
In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 63 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp? Choose the correct answer
A) 70	B) 450	C) 150	D) 35	E) 350

Solution: Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7= 
0.2*0.7 = 0.14
0.14, or 14% of the boys in the camp are from school A and do not study science.   We are told that this number equals to 63, so 0.14*{total}= 63 --> {total} = 450.   Answer: 450.
Answer: B
A researcher computed the mean, the median, and the standard deviation Y for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?  Choose the correct choice from the following answers
A) The mean only B) The median only C) The standard deviation only D) The mean and the median E) The mean and the standard deviation

Solution: If we add or subtract a constant to each term in a set the standard deviation Y will not change..   If we add (or subtract) a constant to each term in a set the mean and the median will increase (decrease) by the value of that constant.   Answer: The mean and the median.
Answer: D
In the coordinate plane, one of the vertices of a square is the point (-4, -4). If the diagonals of that square intersect at point (3, 2), what is the area of that square?	Choose the correct choice from the following answers
A) 180 B) 196 C) 160 D) 164 E) 172

Solution: One point (-4-4), Intersection (3,2) so the distance from the first point -4-3=-7 is the midpoint of the square --> whole side 14, 14*14=196   196
Answer: B
In what time will a train 240 metres long cross an electric pole, if its speed be 126 km/hr?  Choose the most appropriate option.
A) 6.75 sec	B) 6.85 sec	C) 6.55 sec	D) 6.44 sec	E) 7.85 sec

Solution: Solution   Speed	= (126 x 5 /18) m/sec   = 35 m / sec   Time taken	= (240 /35) sec   = 6.85 sec.   Answer 6.85 sec
Answer: B
The instructions state that Cheryl needs 5/9 square yards of one type of material and 1/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 8/24 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
Pick one:  A) 1/12  B) 1/9  C) 2/3  D) 5/9  E) 2 1/9

Solution: Total bought = 5/9+1/3   left part 8/24--->1/3   so used part 5/9+1/3-1/3=5/9   ANSWER:5/9
Answer: D
If a is a positive even integer, and n and m are consecutive integers, then (n - m)^a/(m - n)^a = Choose the most appropriate option.
A) -2	B) -1	C) 0	D) 1	E) 2

Solution: a= +ve even integer   Since,n and m are consecutive integers , their difference will be 1   ((n-m)^a)/((m-n)^a)= ((n-m)/(m-n))^a = (-1)^a   Since we are raising the difference of n and m to power a , which is even , the answer will be 1 .   Answer 1
Answer: D
Convert the following unit:
7 hectares in mÂ²  Choices:
A) 50000 mÂ²
B) 60000 mÂ²
C) 65000 mÂ²
D) 70000 mÂ²
E) 75000 mÂ²

Solution: 7 hectares in mÂ²   1 hectare = 10000 mÂ²   Therefore, 7 hectares = 7 Ã— 10000 mÂ²   = 70000 mÂ²   ANSWER : OPTION 70000 mÂ²
Answer: D
A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.685 in all. For how many days was he absent? Choose the correct choice from the following
A) 8  B) 10  C) 2  D) 17  E) 19

Solution: 30 * 25= 
30 * 25 = 750
750   685   -----------   65   25 + 7.50= 
25 + 7.50 = 32.5
32.5   62/32.5= 2   2
Answer: C
An amount of Rs. 10000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested at 11% was? Select the correct option: A) 2377 B) 3750 C) 2997 D) 2677 E) 1987

Solution: Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (10000 - x). Then,   (x * 9 * 1)/100 + [(10000 - x) * 11 * 1]/100 = (10000 * 39/4 * 1/100)   (9x + 110000 - 11x)/100 = 3900/4= 
3900/4 = 975
975   (9x + 110000 - 11x)= 97500   x = 6250   Sum invested at 9% = Rs. 6250   Sum invested at 11% = Rs. (10000 - 6250) = Rs. 3750.   Answer: 3750
Answer: B
The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. x T (-z)=0
II. z T z/z-1=1
III. 2/z T 2/z=1
Choose the correct choice from the following answers:
A) a.) I	B) b.) I and II only	C) c) I and III only	D) d) II only	E) e) I, II and III only

Solution: Statement I is not TRUE   Statement II is TRUE   Statement III is not TRUE   Answer : d) II only
Answer: D
A gardener increased the length of a rectangle-shaped garden by 25 percent and decreased its width by 20 percent. The area of the new garden  Pick
A) has increased by 20 percent  B) has increased by 12 percent  C) has increased by 8 percent  D) is exactly the same as the old area  E) cannot be expressed in percentage terms without actual numbers

Solution: Let L be the original length and let W be the original width.   The original area was L*W.   The new area is 0.8W*1.25L = (0.8)(1.25)L*W = L*W   The answer is is exactly the same as the old area.
Answer: D
A train 360 m long is running at a speed of 90 km/hr. In what time will it pass a bridge 140 m long? Choose the correct choice from the following answers:	A) 40 sec	B) 29 sec	C) 26 sec	D) 20 sec	E) 34 sec

Solution: Speed = 90 * 5/18= 
90 * 5/18 = 25
25 m/sec   Total distance covered= 360 + 140= 
360 + 140 = 500
500 m   Required time= 500 * 1/25= 
500 * 1/25 = 20
20 sec   Answer: 20 sec
Answer: D
On return from a business trip Mr. Chidambaram was to be picked up from the railway station by
his coachman. Someone he managed a train connection earlier and thus arrived two hours too early.
Immediately on arrived he rang up home for the coach and was told that it had just left in order to be
exactly in time for the train by which he was scheduled to come. To save the time he started walking
homeward at 3kmph. On the way he met the coachman who brought him home an hour before
schedule. How far is the Mr. Chidambaram’s house from the railway station?
Pick one
A) 22 B) 18 C) 99 D) 27 E) 11

Solution: Very good questions. Appeared in Puzzles book of Ravi Nirula.   Let the train's correct time is 9.00 am. Now chidambaram reached the station at 7 am and he was informed that the coachman (car) left at 7 am. So car takes 2 hours to reach the station. This car expected to reach home at 11 am.   But the car after picking up chidambaram, reached home 1 hour early. i.e., 10 am. So car has travelled 3 hours and 1.5 hours towards the station. So it picked him up at 8.30 am. Car saved distance equivalent to 30 minutes. but this distance is covered by Chidambaram by walk. He took 1.5 hours to cover this distance.   So Car speed is 3 times that of his walking speed. Car speed = 3 × 3 = 9 km.   We know that car takes 2 hours to reach station. So the distance = 9 × 2 = 18 km.   Answer:18
Answer: B
What least number must be added to 1056, so that the sum is completely divisible by 23 ? Select the correct option.
A) 2  B) 3  C) 16  D) 18  E) 23

Solution: 23) 1056 (45   92   ---   136   115   ---   21   ---   Required number = (23 - 21)= 
(23 - 21) = 2
2.   2nswer: Option 2
Answer: A
A certain telescope increases the visual range at a particular location from 70 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ?	Choose the correct choice from the following answers.
A) 30%  B) 33 1/2%  C) 40%  D) 60%  E) 114.28%

Solution: Original visual range = 70 km   New visual range = 150 km   Percent increase in the visual range by using the telescope   = (150-70)/70 * 100%   = 8/7 * 100%   = 114.28 %   Answer 114.28%
Answer: E
----------------YES---------NO----UNSURE Subject M----500--------200-----100 Subject R----400--------100-----300 A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. If 170 students answered yes only for subject M, how many of the students did not answer yes for either subject? Choices:
A) 100	B) 230	C) 300	D) 400	E) 500

Solution: Since 170 students answered yes only for subject M, then the remaining 330 students who answered yes for subject M, also answered yes for subject R. So, 330 students answered yes for both subjects.   If 320 students answered yes for both subjects, then 400-330= 
400-330 = 70
70 students answered yes only for subject R.   So, we have that:   200 students answered yes only for subject M;   70 students answered yes only for subject R;   300 students answered yes for both subjects;   Therefore 800-(200+70+300)= 
800-(200+70+300) = 230
230 students did not answer yes for either subject.   Answer: 230.
Answer: B
If M is a negative integer and Q is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, M, 0, 1, 3, Q, 7}?
I. -1.5
II. -2
III. 0  Choose one:
A) I only	B) II only	C) III only	D) I and III only	E) None

Solution: If M is a negative integer and Q is a positive integer,The answer should be (E) as S.D cannot be negative. It is only 0 if all numbers in the set are equal, which is not the case either=None
Answer: E
How many of the positive divisors Q of 120 are also multiples of 4 not including 120? Choose the correct choice from the following choices.
A) 3.	B) 4.	C) 5.	D) 7.	E) 8.

Solution: 4,8,12,20,24,40,60. (7) is the answer   Other way : factors of 120 = 2^3 * 3*5   Separate 2^2 ( which means 4)   Now, calculate the number of other factors.   Q=2*3*5 = total positive factors are 2*2*2= 
2*2*2 = 8
8   This 8 factors include 120   So subtract 1 from 8   Ans is 7=7.
Answer: D
If x/y = 5 and (4a - x)/(b - y) = 5, then the value of a/b is?	Pick one
A) –3
B) -2
C) 1
D) 5/4
E) 3

Solution: x = 5y   4a - 5y = 5(b - y)   4a - 5y = 5b - 5y   4a = 5b   a/b = 5/4   Answer: 5/4
Answer: D
A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 3 hours. Harvesting machine K harvested how many acres of wheat per hour? Select:
A) 7 B) 8 C) 12 D) 13 E) 17

Solution: Rate of H = 3 acres/hr   Remaining land to be harvested = 100 - 40= 
100 - 40 = 60
60   Rate of H and K= 60/3= 
60/3 = 20
20 acres/hr   Rate of K= 20-3= 
20-3 = 17
17   Answer: 17
Answer: E
On June 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. If the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on November 1 than were in stock on January 1?	Choose the correct choice:	A) 8	B) 12	C) 40	D) 32	E) 36

Solution: Jan 1 = 40   Feb 1 = 40 - 4   March 1 = 40 - 8   April 1 = 40 - 12   May 1 = 40 - 16   June 1 = 40 - 20   July 1 = 40 - 24   Aug 1 = 40 - 28   Sept 1 = 40 - 32   Oct 1 = 40 - 36   Nov 1 = 40 - 40   Difference between stock on November 1 than were in stock on January 1 will be -   40 - ( 40 - 40 )= 
40 - ( 40 - 40 ) = 40
40   Hence answer will be (40)
Answer: C
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Find the sum? Choose one.
A) 30
B) 15
C) 40
D) 45
E) 20

Solution: a2+b2+c2=138 and(ab+bc+ca)=131   a+b+c^2=400   root(400)=20   ANSW20R 20
Answer: E
Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?  Choose the correct choice from the following options:
A) 227
B) 540
C) 882
D) 266
E) 222

Solution: A+B+C = 1170   4A = 3B = 2C = x   A:B:C = 1/4:1/3:1/2 = 3:4:6   6/13 * 1170 = Rs.540   Answer: 266
Answer: D