MU-NLPC/Calc-aqua_rat huggingface dataset:
Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).	Choose the correct choice from the following answers
A) 33	B) 30	C) 77	D) 66	E) 12

Solution: Distance travelled by Ramu = 45 * 4= 
45 * 4 = 180
180 km   Somu travelled the same distance in 6 hours.   His speed= 180/6= 
180/6 = 30
30 km/hr   Hence in the conditional case, Ramu's speed= 45 - 9= 
45 - 9 = 36
36 km/hr and Somu's speed= 30 + 10= 
30 + 10 = 40
40km/hr.   Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively. Hence difference in the time taken= 0.5 hours = 30 minutes.   Answer: 30
Answer: B
Richard,Kenn, Jerk, Dave and Paster line up at a ticket window. In how many ways can they arrange themselves so that Dave is first in line from the window?  Choose the correct choice from the following answers:  A) a 20  B) b 12  C) c 9  D) d 24  E) e 3

Solution: D   Dave's position is fixed. Now we need to arrange all others around Dave.   There are 4x3x2x1= 24 ways to arrange four people.
Answer: D
The average expenditure of a labourer for 6 months was 80 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i Choose the correct choice from the following options:
A) 70  B) 72  C) 75  D) 78  E) 80

Solution: Income of 6 months = (6 × 80) – debt   = 480 – debt   Income of the man for next 4 months   = 4 × 60 + debt + 30   = 270 + debt   ∴ Income of 10 months = 750   Average monthly income = 750 ÷ 10 = 75   Answer 75
Answer: C
Last year, for every 100 million vehicles that travelled on a certain highway, 98 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choices
A) 288
B) 320
C) 2,940
D) 3,200
E) 28,800

Solution: To solve we will set up a proportion. We know that “100 million vehicles is to 98 accidents as 3 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 3,000 million rather than 3 billion. 2,940reating a proportion we have:   100/98 = 3,000/x   2,940ross multiplying gives us:   100x = 3,000 * 98   x = 30 * 98 = 2,940   2,940orrect answer is 2,940.
Answer: C
In how many different ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?  Choose the correct answer:
A) 70
B) 288
C) 576
D) 10,080
E) 20,160

Solution: Glue the ladies together so that they create one unit, so we would have 5 units: {M1}, {M2}, {M3}, {M4}, and {W1,W2,W3,W4} --> # of different arrangements of nn objects around the table (circular arrangements) is (n−1)!(n−1)!, so our 5 objects can be arranged in (5−1)!=4!(5−1)!=4! ways.   On the other hand 4 women within their unit also can be arranged in 4! ways --> total 4!∗4!=5764!∗4!=576.   Answer: 576.
Answer: C
On dividing 100 by a number, the quotient is 9 and the remainder is 1. Find the divisor?  Answers:	A) 10	B) 11	C) 12	D) 13	E) 14

Solution: d = (D-R)/Q   = (100 - 1)/9   = 99/9= 
99/9 = 11
11   11)
Answer: B
A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 175, then how much amount should C pay as his share of rent?
Choose the correct choice from the following.
A) 40
B) 45
C) 49
D) 51
E) 43

Solution: A : 45 : C   =10×7:12×5:15×3   =2×7:12×1:3×3   =14:12:9   Amount that C should pay   =175×(9/35)=5×9=45   Answer is 45.
Answer: B
The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
Options.
A) 21	B) 22	C) 23	D) 25	E) 28

Solution: Let the average age of the whole team be x years.   11x - (26 + 29) = 9 (x - 1)   => 11x - 9x = 46   => 2x = 46   => x = 23.   So, average age of the team is 23 years.   23
Answer: C
A man purchased a carriage and horse in Rs. 1500. By selling the horse at 10% loss and carriage at 20% profit he earned a profit of 8% on the whole transaction.  Choose the correct choice from the following choices:
A) 900  B) 376  C) 197  D) 167  E) 191

Solution: 900NSWER: 900
Answer: A
pooja travels from A to B a distance of 800 miles in 10 hours. He returns to A in 5 hours. Find his average speed?
Choose the most appropriate option:
A) 123.07mph B) 100mph C) 150.07mph D) 200mph E) 300mph

Solution: Speed from 123.07mph to B = 800/8= 
800/8 = 100
100 mph   Speed from B to 123.07mph= 800/5= 
800/5 = 160
160 mph   123.07mphverage speed= 2*100*160 / 260 = 123.07mph   123.07mphnswer is 123.07mph
Answer: A
The speed of a car is 20 km in the first hour and 60 km in the second hour. What is the average speed of the car?	Choose one
A) 79 kmph B) 40 kmph C) 34 kmph D) 23 kmph E) 14 kmph

Solution: S = (20 + 60)/2= 
(20 + 60)/2 = 40
40 kmph   Answer:40 kmph
Answer: B
A sum of money at simple interest amounts to Rs. 2240 in 2 years and to Rs. 2600 in 5 years. The sum is:
Pick one
A) Rs. 1500 B) Rs. 2000 C) Rs. 1000 D) Rs. 1200 E) Rs. 1800

Solution: S.I. for 3 years = Rs. (2600 - 2240) = Rs. 360.   S.I. for 1 year = Rs. 360/3 = Rs. 120.   S.I. for 2 years = Rs. (120 x 2) = Rs.240.   Principal = Rs. (2240 - 240) = Rs. 2000.   Answer: Option Rs. 2000
Answer: B
If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 500. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 512.50. What is the value of X?	Choose the correct choice from the following choices:	A) 8000	B) 6000	C) 5000	D) 4000	E) 3000

Solution: Simple way to solve this question is to use options.   From SI, we know that X*y=25,000.   Now, put the value of X = 5000, we will have y = 5%   To calculate CI,   Now, we know 1st year Amount= 5000+5% of 5000= 5250.   2nd year, Amount = 5250 + 5% of 5250 = 5512.50.   We can see after 2 years Interest = 5512.50-5000= 
5512.50-5000 = 512.5
512.50 hence, it satisfies the question. Hence 5000 is the correct answer
Answer: C
The ratio of flour to water to sugar in a recipe is 11:8:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 4 cups of water, how much sugar is required?	Choose the correct choice from the following
A) 5  B) 4  C) 3  D) 2  E) 1

Solution: The ratio of flour to water is 22:8=11:4.   The ratio of flour to sugar is 5.5:1=11:2.   The new ratio of flour to water to sugar is 11:4:2   If we need 4 cups of water, then we need 2 cups of sugar.   The answer is 2.
Answer: D
The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?  Options
A) 42  B) 57  C) 27  D) 29  E) None of these

Solution: The total of seven numbers = 7 Ã— 18 = 126   The total of first 3 and last 3 numbers is = 3 Ã— 14+3 Ã— 19 = 99   So, the middle number is  (126 - 99 )= 
 (126 - 99 ) = 27
27   ANSWER IS 27
Answer: C
A group consists of 4 men, 6 women and 6 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
Choose one.
A) 400
B) 720
C) 287
D) 278
E) 281

Solution: Explanation:   Two men, three women and one child can be selected in â´Câ‚‚ * â¶Câ‚ƒ * âµCâ‚ ways   = (4 * 3)/(2 * 1) * (6 * 5 * 4)/(3 * 2) * 6= 
(4 * 3)/(2 * 1) * (6 * 5 * 4)/(3 * 2) * 6 = 720
720 ways.   Answer:720
Answer: B
If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
Pick one: A) 1 B) 5 C) 6 D) 7 E) 3

Solution: Speed Ratio = 1:3/4 = 4:3   Time Ratio = 3:4   1 -------- 1/3   3 --------- ? è 1 hour   1nswer: 1
Answer: A
Without stoppages a train travels a certain distance with an average speed of 160 kmph and with stoppages it covers the same distance with an average speed of 80 kmph. What is the time in minutes per hour for which train stops?  Choose the most appropriate option:
A) 10 min/hr  B) 25 min/hr  C) 27 min/hr  D) 30 min/hr  E) 33 min/hr

Solution: Pick a smart number for the distance. lets say LCM 160   Without = 160/160= 
160/160 = 1
1 hours   With= 160/80= 
160/80 = 2
2 hours   So in a trip of 2 hours, 1 hour is spent in stoppages   Hence, 60/2= 30 min/hr on stoppages   Answer : 30 min/hr
Answer: D
A train 700 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?	Choose the correct choice from the following answers:
A) 510
B) 540
C) 500
D) 520
E) 600

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (700 + x)/60 = 65/3   x = 600 m.   Answer: Option 600
Answer: E
In covering a distance of 48 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
Choose the most appropriate option.
A) 5 kmph B) 6 kmph C) 6.25 kmph D) 7.5 kmph E) 8 kmph

Solution: Let Abhay's speed be x km/hr.   Then,	48/X	-	48/2X	= 3   6x = 48   x = 8 km/hr. Answer: Option 8 kmph
Answer: E
Positive integers from 1 to 45, inclusive are placed in 5 groups of 9 each. What is the highest possible average of the medians of these 5 groups?
Choose the correct choice from the following answers.
A) 25 B) 31 C) 15 D) 26 E) 23

Solution: Answer   We need to maximize the median in each group in order to maximize the average of all the medians.   The highest possible median is 41 as there should be 4 numbers higher than the median in a group of 9.   So, if we have a group that has a, b, c, d, 41, 42, 43, 44, 45, the median will be 41.   In this set, it is essential not to expend any more high values on a, b, c, or d as these do not affect the median.   The median of a group that comprises 1, 2, 3, 4, 41, 42, 43, 44, 45 will be 41.   The next group can be 5, 6, 7, 8, 36, 37, 38, 39, 40. The median will be 36.   Extrapolating the findings in the two sets listed above, to maximize medians in all the 5 groups, the medians of the 5 groups will have to be 21, 26, 31, 36 and 41.   The average of the highest possible medians will be the average of these 5 numbers = 31.   Answer 31
Answer: B
If cement, gravel and sand are to be mixed in 7:10:13 and 6 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.	Choose the correct choice from the following answers
A) 35 7/8 B) 40 C) 34 2/7 D) 25 5/7 E) 34 6/7

Solution: Cement:Gravel:Sand = 6:10:13 --> total of 6+10+13 = 30 parts.   If we use 8 tons of cement, then we'll get 6/7*30 = 25 5/7 tons of mixture.   Answer: 25 5/7.
Answer: D
If a, b, and c are integers and ab^2/c is a positive even integer, which of the following must be true?
I. ab is even
II. ab > 0
III. c is even Choose the correct choice from the following
A) l only  B) ll only  C) l and ll  D) l and lll  E) l,ll,and lll

Solution: Given: a, b, and c are integers and ab^2/c is a positive even integer.   Evaluate each option:   I. ab is even.   ab^2/c to be positive even integer ab^2 must be even, from which it follows that either a or b must be even, thus ab has to be even.   II. ab > 0   Since b is squared in our expression, then we can say nothing about its sign, thus we cannot say whether ab is positive.   III. c is even   The easiest one: ab^2/c = integer/c = even --> c could be even as well as odd.   l onlynswer: l only.
Answer: A
((-1.9)(0.6) – (2.6)(1.2))/4.0 = ? Choose the most appropriate option.
A) 1.07 B) 1.0 C) -1.065 D) 1.71 E) 2.71

Solution: Dove straight into calculation but quickly realized that the sum of two negatives is a negative so there is only one option.   -1.065   Answer -1.065
Answer: C
The speed of a boat in still water is 21 km/hr and the rate of current is 8 km/hr. The distance travelled downstream in 13 minutes is	Choose the correct option:
A) 1.6 km	B) 2 km	C) 6.3 km	D) 4 km	E) None of these

Solution: Explanation:   Speed downstreams	=(21 + 8)kmph   = 18 kmph.   Distance travelled	= (29 x 13/60)km   = 6.3km   Option 6.3 km
Answer: C
How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 4%? Choose the correct choice from the following answers:
A) 0—1.5 gal
B) 1.5—3 gal
C) 3—4.5 gal
D) 4.5—6 gal
E) 15+ gal

Solution: Let amount of water that must be added in gallons to dilute concentration of brine solution = x   Amount of brine already present = 10/100 * 10= 
10/100 * 10 = 1
1 gallon   1/(10+x) *100= 4   =>100 = 40 + 4x   => x= 60/4= 
60/4 = 15
15   Answer 15+ gal
Answer: E
The least number of five digits which is completely divisible by 39, is  Select the correct option:
A) 10062	B) 10101	C) 10016	D) 10023	E) 11011

Solution: 10023 10023
Answer: D
Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 5 times, and no one scored below 600 or over 760. If the individual ranges of the three people's scores in those 5 practice tests were 20, 60 and 90, what is the difference between the maximum and minimum possible ranges of all their scores put together.  Choose one
A) 40
B) 60
C) 70
D) 100
E) 110

Solution: According to the information in the question the maximum range would be between 600 and 760(160). The minimum range would be the greatest range for any one individual, which is listed in the problem as 90. So the difference between these would be 160-90 or 70.   Answer: 70
Answer: C
Increasing the original price of an article by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by	Choices.
A) 32.25%  B) 31.00%  C) 30.25%  D) 30.00%  E) 22.50%

Solution: You can do this by approximation, or with straight math by calculating 100*1.15^2.   Or step by step: if you increase 100 by 15% you'll get 115, then if you increase 115=100+15 by 15% again, 100 will gain 15 again and 15 will gain its 15% which is 2.25, so total gain is 15+2.25= 
15+2.25 = 17.25
17.25 --> 115+17.25=132.25.   32.25%nswer: 32.25%.
Answer: A
Two cyclists are running on a circular track of 600m.They start from the same point A at the same time.If they meet for the first time at a point 150 m from A, which of the following could be the possible ratio of their speeds?  Options:
A) 1:3	B) 2:3	C) 3:5	D) 5:7	E) 7:11

Solution: well, the key aspect of this question is the distance mentioned, when they met for the first time, which is 150m away from the starting point. This distance between their first meeting can be less than 600 in only two circumstance.   1) if both are travelling in the same direction and one of them has been given a head start say by few meters.   2) or if both are travelling in the opposite direction.   now since they start their journey at the same time. hence option 1 is ruled out. hence they must be running in the opposite direction. hence answer should be 1:3.   Why?? here is a solution   1:3s here time is constant, therefore, distance traveled will be directly proportional to the the respective velocities/speed of the two runners.(d1/d2=v1/v2)   now one of them has covered 150m, therefore other must have covered 450m, therefore ratio of their speeds/velocities will be 1:3   1:3
Answer: A
A bag holds 2 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?  Choose one.
A) 1/10  B) 1/5  C) 3/10  D) 2/5  E) 1/2

Solution: probability of selecting first red marble = 2/5   probability of selecting second red marble without replacement = 1/4   final probability = 2/5 * 1/4 = 1/10   correct answer - 1/10
Answer: A
A train travels from Albany to Syracuse, a distance of 100 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours . What was the average rate of speed of the train on the return trip to Albany?
Choose the correct answer: A) 40 B) 50 C) 60 D) 33.33 E) 45

Solution: 50*T =100 THEREFORE T = 100/50= 
100/50 = 2
2   ON RETURN SPEE33.33 * ( 5 -2)=100 THEREFORE T = 100/3 =33.33   33.33
Answer: D
What will be the difference in simple and compound interest on 3000 after three years at the rate of 10 percent per annum?
Choose the correct choice from the following options: A) 93 B) 42 C) 62 D) 20 E) None of these

Solution: For 3 years:   Diff.=Sum×(rate)2(300+rate)/(100)3   = 3000×10×10×310/100×100×100 = 93   93nswer 93
Answer: A
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?  Choose the most appropriate option.
A) 4
B) 3
C) 5
D) 7
E) 9

Solution: D = 25 * 60 + 1500= 
25 * 60 + 1500 = 3_000
3000 m   T= 3000/60 * 18/5= 
3000/60 * 18/5 = 180
180 sec= 3 mins   Answer: 3
Answer: B
If a sample of data has mean of 23 and SD of 3, which of the following values is more than 2.5 SDs from the mean?  Options
A) a. 16
B) b. 13.5
C) c. 17
D) d. 23.5
E) e. 26.5

Solution: Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5SD=7.5. So the value either < 23-7.5= 
 23-7.5 = 15.5
15.5 or >23+7.5=30.5.   Answer: b. 13.5.
Answer: B
On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder?	Choose the most appropriate option:  A) 10  B) 12  C) 5  D) 25  E) 85

Solution: Explanation:   Let x be the number and y be the quotient. Then,   x = 357 x y + 39   = (17 x 21 x y) + (17 x 2) + 5   = 17 x (21y + 2) + 5)   Required remainder = 5.   5)
Answer: C
A wheel that has 4 cogs is meshed with a larger wheel of 12 cogs. If the smaller wheel has made 20 revolutions, what will be the number of revolutions made by the larger wheel?	Pick
A) 8  B) 4  C) 5  D) 6  E) 7

Solution: Let the number of revolutions made by the larger wheel be p   More cogs, less revolutions (Indirect proportion)   Hence we can write as   4 : 12 :: p : 20   ⇒p=80/12   =7   ANSW7R:7
Answer: E
If the radius of a circle is increased by 20% then the area is increased by:
Choose the correct choice from the following:
A) 44% B) 120% C) 144% D) 40% E) None of the above

Solution: initially 44%=pi*r2   now R2=120/100r   then area=Pi*(120R/100)2   area=144R/100   that is area increases from 100 to 144=increase in area=44%   44%NSWER:44%
Answer: A
In how many ways can the letters of word DIRECTION be arranged such that NO two vowels appear together?
Answers:	A) 9!	B) 5!*5!	C) 4!*5!/2	D) 5!*4!*2!	E) 6!*4!

Solution: No 2 vowels together = the only arrangement possible will be C V C V C V C V C (with V=vowel, C=consonant). This is true as we have 4 vowels and 5 consonants and any other combination will force us to pair 2 vowels together. Since there are two 'i's divide by 2   Thus, the number of arrangements possible : 5 *4 *4 *3 *3 *2 *2*1 = 4!*5!/2 ----> 4!*5!/2 is the correct answer.
Answer: C
In 1970 there were 8,902 women stockbrokers in the United States. By 1978 the number had increased to 21,947. Approximately what was the percent increase?
Options.
A) 45% B) 125% C) 147% D) 150% E) 225%

Solution: The percent increase is (21947-8902)/8902=13045/8902=1.47   So the approximate answer is 147%
Answer: C
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}  Select: A) 20 B) 40 C) 80 D) 140 E) 60

Solution: Explanation:   The given digits are 1, 2, 3, 5, 7, 9   A number is even when its units digit is even. Of the given digits, two is the only even digit.   Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.   Number of even numbers = ⁵P₃ = 60.   Answer:60
Answer: E
The average age of one class strength 32 students is 16 yrs. if the staff's age is also included, the average increases by one year. Find the age of the staff Choose the correct option.
A) 50
B) 52
C) 49
D) 32
E) 35

Solution: total age of students => 32 × 16 = 512 Yrs   Total age inclusive staff = 33 × (16+1) = 561   => staff's age 561-512= 
561-512 = 49
49 Yrs   ANSWER 49
Answer: C
Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 16 more photos than Claire. How many photos has Claire taken?
Choose the correct answer
A) 6	B) 8	C) 10	D) 12	E) 14

Solution: L = R   L = 3C   R = C + 16   3C = C + 16   C = 8   The answer is 8.
Answer: B
Candy bars are on sale at the grocery, buy 3 get 1 free. There are only 15 candy bars left (5 dark chocolate and 10 white chocolate). A shopper randomly grabs 10 bars. What is the probability the shopper will grab exactly 3 white chocolate bars?  Select the correct option:
A) 7/9
B) 3/5
C) 40/91
D) 3/7
E) 7/120

Solution: Combination Probability Formula: nCr = n!/[r!(n-r)!]   Total possible, select 4 bars from 15 bars = 15C4 = 15!/[4!(15 - 4)!] = 1,365.   To have 3 white there must be 1 dark, select 1 dark from 5 = 5C1 = 5.   And, select 3 white from 10 = 10C3 = 120.   3 white and 1 dark = (5)(120) = 600   Probability = (number outcomes favorable)/(total number outcomes) = 600/1,365 = 40/91   Answer: 40/91
Answer: C
I flew my tiny seaplane to visit my mother. On the flight up, I flew at 96 mph. On the way home, I flew 88 mph. What was my average speed for the trip? Choose the most appropriate option:
A) 198 mph
B) 110 mph
C) 92 mph
D) 100 mph
E) 99 mph

Solution: (96 mph +88 mph)/2= 92 mph   92 mphorrect answer is: 92 mph
Answer: C
A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 70,000, B receives :	Select the correct option:
A) 14700  B) 14703  C) 23800  D) 33777  E) 34778

Solution: Explanation:   Let C = x. Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.   So, x + x + 5000 + x + 9000 = 50000 <=> 3x = 36000 <=>   x = 12000.   A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.   B's share = Rs. (70000 * 17/50 ) = Rs. 23,800.   Answer: 23800)
Answer: C
Andrea wants to fill in two sections of her
backyard with sod that must be purchased
in 2-x-2-foot squares. If the two sections
measure 30 x 40 feet and 60 x 80 feet, how
many squares of sod does she need to buy? Choose the correct choice from the following answers.
A) 1,000 B) 1,250 C) 1,500 D) 1,600 E) 2,000

Solution: To begin, find the area of each of the two sections by multiplying the lengths of the sides:   30 feet × 40 feet = 1,200 square feet   60 feet × 80 feet = 4,800 square feet   The total area that needs sod has an area of 1,200 + 4,800 = 6,000 square feet. Each individual   square is 2 feet by 2 feet, so each has an area of 4 square feet. Because all the numbers are   even, there will be no waste when the squares of sod are placed. Therefore, you just have   to find the number of squares needed by dividing:   6,000 ÷ 4 = 1,500   correct answer 1,500) 1,500
Answer: C
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.10 per sq m?
Pick one:
A) 6350
B) 7357
C) 6328
D) 6750
E) 7560

Solution: Area = (l + b +2d) 2d   = (75 + 55 +2.5 * 2) 2*2.5 => 675   675 * 10 = Rs.6750   Answer:6750
Answer: D
P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 336 is divided among them . What is P's share?	Choose the correct choice from the following answers.
A) 112	B) 120	C) 134	D) 144	E) None of these

Solution: Explanation :   The ratio of their initial investment = 1/2 : 1/3 : 1/4   = 6 : 4: 3   Let's take the initial investment of P, Q and R as 6x, 4x and 3x respectively   A:B:C = (6x * 2 + 3x * 10) : 4x*12 : 3x*12   = (12+30) : 4*12 : 3*12   =(4+10) : 4*4 : 12   = 14 : 16 : 12   = 7 : 8 : 6   P's share = 378 * (7/21) = 112. 112nswer : Option 112
Answer: A