MU-NLPC/Calc-aqua_rat huggingface dataset:
The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is:	Select the correct option
A) 7
B) 29
C) 41
D) 67
E) 76

Solution: x+(x+36)+y=100 => 2x+y=64   Therefore y must be even prime, which is 2.   Therefore 2x+2=64 => x=31   Third prime number= (x+36)= (31+36)= 
(31+36) = 67
67.   ANSWER:41
Answer: C
The parameter of a square is equal to the perimeter of a rectangle of length 9 cm and breadth 6 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)? Pick:
A) 11.72 B) 11.52 C) 11.97 D) 10.91 E) 11.79

Solution: Let the side of the square be a cm.   Parameter of the rectangle = 2(9 + 6) = 30 cm Parameter of the square = 30 cm   i.e. 4a = 30   a = 7.5   Diameter of the semicircle = 7.5 cm   Circimference of the semicircle   = 1/2(âˆ)(7.5)   = 1/2(22/7)(7.5) = 165/14 = 11.79 cm to two decimal places   Answer: 11.79
Answer: E
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 465, C will receive  Choose the correct choice from the following.
A) 6020 B) 15 C) 5 D) 287 E) 90

Solution: Explanation:   Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .   A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.   Hence, C's share (465 * 6/31) = Rs, 90.   Answer: 90) Rs.90
Answer: E
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?	Pick one: A) 1000 B) 2777 C) 2889 D) 27670 E) 2771

Solution: 1120 = P [1 + (5*12/5)/100]   P= 1000.1000nswer:1000
Answer: A
In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 30% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women? Select the correct option
A) 80 B) 95 C) 105 D) 120 E) 210

Solution: 20% of the workerswithoutretirement plan are women, this means 80% of the workerswithoutretirement plan are men right? Makes 100% = no retirement plan.   Then 40% of those wo have a retirement plan are men, which means 60% of those who have a retirement plan are women. These percentages are always refering to the subgroupsRetirement plan = YesandNo Retirement Plan.   Make the total workers equal x and work from there and it should be fine > x/3 have no retirement plan at all. I struggled with the question a lot, it was hard for me although usually I have no problems with sets questions like this. I believe it must be a 700+ question.   Yes, you are right. I read the question incorrectly! I glazed overnotfor some reason.   If20% of the workers who do not have a retirement plan are women,80% who do not have retirement plan are men. Also 40% who do have retirement plan are men. Since 1/3 do not have retirement plan and 2/3 do have, it becomes a simple weighted average question.   Cavg = (70*1 + 40*2)/3= 
(70*1 + 40*2)/3 = 50
50% are men   Total= 120*100/50= 
120*100/50 = 240
240   No. of women= 240 - 120= 
240 - 120 = 120
120   120
Answer: D
In a kilometer race, A can give B a 100 m start and C a 150 m start. How many meters start can B give to C?	Pick:
A) 50  B) 50/9  C) 8500/9  D) 500/9  E) None of these

Solution: A can give B a 100 m start and C a 150m. Start means when A runs 1000m, B runs 900m and C runs 850m. When B runs 1000m, C will run 1000 x (850/900) m (i.e. 8500/9 m) Thus, B can give C a start of - 1000 - (8500/9), i.e. 500/9 m.   Answer: 500/9
Answer: D
In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choose the correct choice from the following choices: A) 1/2 B) 1/3 C) 2/5 D) 2/7 E) 3/7

Solution: P (E) = 30 / 100 = 3 / 10 , P (H) = 20 / 100 = 1 / 5 and P (E ∩ H) = 10 / 100 = 1 / 10   P (E or H) = P (E U H)   = P (E) + P (H) - P (E ∩ H)   = (3 / 10) + (1 / 5) - (1 / 10) = 4 / 10 = 2/5   2/5
Answer: C
three men invested sum. and their ratio is 5:7:6. profit is 7200.then b's share
Select the correct option:
A) 2000
B) 2100
C) 2800
D) 2300
E) 2400

Solution: b's share =7/18*7200= 
7/18*7200 = 2_800
2800   ANSWER:2800
Answer: C
A tank is filled in eight 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?
Choose the correct option:	A) 22	B) 28	C) 77	D) 12	E) 21

Solution: 1/A + 1/28 + 1/C = 1/8 (Given)   Also given that A = 228 and 28 = 2C   => 1/228 + 1/28 + 2/28 = 1/8   => (1 + 2 + 4)/228 = 1/8   => 228/7 = 8   => 28 = 28 hours.Answer: 28
Answer: B
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is Choose the correct option:
A) 3:1
B) 1:3
C) 2:4
D) 4:2
E) 5:3

Solution: Explanation:   Let speed downstream = x kmph   Then Speed upstream = 2x kmph   So ratio will be,   (2x+x)/2 : (2x-x)/2   => 3x/2 : x/2 => 3:1   3:1NSWER IS 3:1
Answer: A
Oil cans x and y are right circular cylinders and the height and radius of y are each thrice those of x. If the oil in can x filled to capacity sells for $4, how much does the oil in y sell for if y is only 1/3rd filled?
Choose the correct answer
A) $30 B) $25 C) $36 D) $40 E) $28

Solution: formula for vol of a cyl is PI*r^2*h   so Vy = 27*Vy   y when 1/3rd filled will cost 9 times x so ans is $36
Answer: C
P can do a work in 36 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.	Choose the correct choice from the following answers:  A) 7  B) 8  C) 9  D) 10  E) 15

Solution: Work done by P in 1 day = 1/36   Work done by Q in 1 day = 1/9   Work done by R in 1 day = 1/12   Work done by Q and R in 1 day = 1/9 + 1/12 = 7/36   Work done by Q and R in 3 days = 3Ã—7/36 = 7/12   Remaining work = 1 â€“ 7/12 = 5/12   Number of days in which P can finish the remaining work = (5/12) / (1/36)= 
(5/12) / (1/36) = 15
15   Option 15
Answer: E
A certain car averages 25 miles per gallon when driving in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 15 miles in the city and then 50 miles on the highway?
Choose one:
A) 28	B) 30	C) 35	D) 36	E) 38

Solution: Answer 35   No of Miles per Gallon = Total no of miles/Total no of Gallons   =15+50/(15/25+50/40) ~ 35.13
Answer: C
P and Q be centers of two circle having radius 200cms. These circle intersect each other at some point A and B. Length of PQ is 250 cms. What will the angle AQP be? Pick one.
A) between 0 to 45	B) between 0 to 30	C) between 0 to 60	D) between 0 to 75	E) between 0 to 95

Solution: raw the diagram, in triangle AQP, AP = 200 , AQ = 200 and PQ = 250   cos(AQP)= (200^2+250^2-200^2)/(2*200*250)= 5/8= 
5/8 = 5/8 = around 0.625
.625 [using cal, cos(AQP)= 51]   or,   as cos45=.7 & cos60=.5 so, cos(AQP)=.625 lies betn angles 45 & 60   between 0 to 60   ANSWER:between 0 to 60
Answer: C
306 Ã· ? Ã— 15 + 270 = 405 Select.
A) 24  B) 25  C) 34  D) 39  E) 43

Solution: Explanation:   306 Ã· ? Ã— 15 = 405 - 270= 
405 - 270 = 135
135   (306 Ã— 15)/?= 135   ? = (306Ã— 15)/135 = 34   Answer: Option 34
Answer: C
A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?	Choose the correct choice from the following options.
A) 6  B) 7  C) 9  D) 8  E) 5

Solution: 9 a.m.   Answer: 9
Answer: C
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?	Choose the correct answer.
A) 67 seconds
B) 32 seconds
C) 40 seconds
D) 87 seconds
E) 12 seconds

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (2/25)= 
500 * (2/25) = 40
40 seconds   Answer:40 seconds
Answer: C
The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years	Choices
A) 7:8
B) 7:9
C) 3:8
D) 5:8
E) None of these

Solution: Explanation:   Let P age and Q age is 6x years and 7x years.   Then 7x - 6x = 4 <=> x = 4   So required ratio will be (6x+4): (7x+4) => 28:32 => 7:8   Option 7:8
Answer: A
In a class of 250 students, 150 study Spanish and 100 study French. If a student must study at least one of these two languages, what percent of the students study French but NOT Spanish? Choose the correct answer:
A) 80%  B) 40%  C) 30%  D) 20%  E) 10%

Solution: No of students study french= 250- No of students study spanish = 250-150= 
250-150 = 100
100   % of the students study french but not spanish= (100/250)*100= 
(100/250)*100 = 40
40 %   Answer:40%
Answer: B
A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 4 percent and 8 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate?	Pick one: A) 3/8 B) 4/5 C) 1/2 D) 3/5 E) 3/4

Solution: x * 4/100 * 1 + (20000 - x) * 8/100 * 1 = 1440   4x - 8x = 144000 - 160000   => -4x = -16000   => x = 4000/4   So 16000/20000 = 4/5   Answer - 4/5
Answer: B
Two trains are running in opposite directions with the same speed. If the length of each train is 240 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:	Choose one.
A) 68 km/hr.	B) 32 km/hr.	C) 34 km/hr.	D) 35 km/hr.	E) 72 km/hr.

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (240 + 240 )/12   2x = 40   x = 20.   Speed of each train = 10 m/sec = 20 x 18/5 km/hr = 72 km/hr.   answer :72 km/hr.
Answer: E
Kelly rows her canoe 2 miles downstream in 15 minutes. It takes her 60 minutes to row it back upstream the same 2 miles. What was the speed of the water current in mph?	Choose the correct choice from the following choices
A) 3 mph
B) 4 mph
C) 5 mph
D) 6 mph
E) 7 mph

Solution: Explanation:   Speed of boat Downstream: (2/15) X 60 = 8 mph   Speed of boat Upstream: (2/60) X 60 = 2 mph   Speed of current: 1/2 (8-2) = 6/2= 
6/2 = 3
3 mph   3 mphnswer: Option 3 mph
Answer: A
If an average hard drive had a capacity of 0.6 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?  Select
A) 256
B) 512
C) 768
D) 6144
E) 1536

Solution: 0.6*2^10=0.6*1024= 
0.6*1024 = 614.4
614.4   The answer is 6144.
Answer: D
In a sequence, each term starting with the third onward is defined by the following formula an=an−1−an−2an=an−1−an−2, where n is an integer greater than 2. If the first term of that sequence is 3 and the second term is 4, what is the value of the 70th of that sequence?  Pick.
A) −4 B) −3 C) −1 D) 3 E) 4

Solution: Given an=an−1−an−2an=an−1−an−2   a3 = a2 - a1 => 4-3= 
4-3 = 1
1.   a4= -3   a5 = -4   a6 = -1   a7 = 3   a8 = 4   a9 = 1   a10 = -3   So pattern is 3,4 ,1,-3,-4,-1,3,4,1 and -3 - first term terms...   70th term is -3.   Answer :option −3
Answer: B
Choose the missing terms out of the given alternatives.
AZ, BY, CX, ?
Choose the correct choice from the following choices
A) EF B) GH C) ED D) DW E) KN

Solution: D   DW   The first letter moves one step forward. The second letter moves one step backward.
Answer: D
The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.1690. The perimeter of the plot is?
Choose the correct choice from the following answers: A) 126 B) 156 C) 190 D) 321 E) 260

Solution: Sol. Let width = x, Length = (10+x)   Perimeter = 2(x+(10+x))   = 2(2x=10)   & 2(2x+10)*6.5 = 1650   X = 60   Required perimeter = 2(60+70) = 260   260
Answer: E
A can do a piece of work in 16 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?	Choose the correct choice from the following choices
A) 18 B) 77 C) 66 D) 55 E) 12

Solution: 8/16 + 6/x = 1   X = 12 days   Answer:12
Answer: E
A certain company retirement plan has arule of 70provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1988 on her 32nd birthday first be eligible to retire under this provision?  Choose the correct option.
A) 2003  B) 2004  C) 2005  D) 2006  E) 2007

Solution: She must gain at least 70 points, now she has 32 and every year gives her two more points: one for age and one for additional year of employment, so 32 + 2*(# of years) = 70 --> (# of years) = 19 --> 1988+19=2007.   Answer: 2007.
Answer: E
A baker filled with a measuring cup with 3/4 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with? Choose the correct choice from the following answers.
A) 1/8 cup
B) 3/8 cup
C) 1/4 cup
D) 1/2 cup
E) 7/8 cup

Solution: 3/4 is the original water in cup .half in batter.So left is 3/8 out which 1/8 is spilled out.So again left with 2/8.   so 50% more than what he started was = 3/4+1/2*(3/4)=9/8   Amount of water needed to add = 9/8 - 2/8=7/8   ANSW7/8 cupR:7/8 cup
Answer: E
Adding 30% of x to x is equivalent to multiplying x by which of the following? Choose the correct choice
A) 12.5
B) 1.05
C) 1.15
D) 1.3
E) 1.25

Solution: 130x/100= 1.3*x   ANSWER:1.3130 /100= 
130 /100 = 13/10 = around 1.3
1.3*x   ANSWER:1.3
Answer: D
A waitress's income consists of her salary and tips.During one week ,her tips were 9/4 of her salary.What fraction of her income for the week came from tips? Choose the correct option:
A) 9/13  B) 1/6  C) 1/3  D) 4/9  E) 5/9

Solution: Her tips were 9/4 of her salary.   Let's say her salary =$4   This mean her tips = (9/4)($4) =$9   So, her TOT9/13L INCOME =$4+$9=$13   What fraction of her income for the week came from tips   $9$134+ 9= 
4+ 9 = 13
$13   What fraction of her income for the week came from tips   $9$13=9/13   =9/13
Answer: A
A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent? Choose one:
A) 232
B) 287
C) 269
D) 500
E) 181

Solution: P - 340 = (P*4*8)/100   P = 500   Answer: 500
Answer: D
If y is 80 percent greater than x, then x is what percent less than y ? Choose the correct choice from the following:
A) 20	B) 25	C) 33 1/3	D) 44 4/9	E) 80

Solution: y is 80 percent greater than x   Therefore,   y= (180/100) x   Let x be z percent of y.   So, x = (z/100) y   x = (z/100)(180/100) x   Solving, z = 55.55%   Therefore, x is (100 - 55.55 = 44.45) %   ANSWER:44 4/9
Answer: D
Two numbers are in the ratio 3 : 4. If their L.C.M. is 60. what is sum of the numbers?
Answers
A) 35 B) 56 C) 76 D) 84 E) 85

Solution: Explanation:   Let the numbers be 3x and 4x   LCM of 3x and 4x = 12x (Since LCM of 3 and 4 is 12. Hence LCM of 3x and 4x is 12x)   Given that LCM of 3x and 4x is 60   => 12x = 60   => x = 60/12= 
60/12 = 5
5   Sum of the numbers= 3x + 4x   = 7x   3  + 4= 
3  + 4 = 7
7x= 7 x 5 = 35   35nswer: Option 35
Answer: A
In how many different ways can the letters of the word 'RETAIL' be arranged such that the vowels must occupy only the even positions?  Choose the correct choice from the following choices:	A) None of these	B) 64	C) 120	D) 36	E) 360

Solution: OEOEOE   3 vowels EAI can be arranged on even places in 3!=6 ways. Similarly 3 consonants can be arranged on odd places in 3!=6 ways.   Total = 6*6= 
6*6 = 36
36.   Answer: 36.
Answer: D
What is the present worth of Rs. 66 due in 2 years at 5% simple interest per annum?  Select the correct option
A) 60 B) 277 C) 120 D) 888 E) 171

Solution: Let the present worth be Rs. x. Then,   S.I. = (66 - x)   (x * 5 * 2) / 100 = (66 - x)   10x = 6600 - 100x   110x = 6600 => x = 60.   60nswer: 60
Answer: A
When n is divided by 5 the remainder is 3. What is the remainder when (n-1)^2 is divided by 5?  Choose the correct option:	A) 0	B) 1	C) 2	D) 3	E) 4

Solution: n = 5x+3, for some integer x   (n-1)^2=(5x+2)^2=5y+4, for some integer y   When we divide this by 5, the remainder is 4.   The answer is 4.
Answer: E
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices
A) 80, 49 B) 80, 40 C) 80, 48 D) 80, 46 E) 82, 41

Solution: Speed downstream = 60 + 20= 
60 + 20 = 80
80 kmph   Speed upstream= 60 - 20= 
60 - 20 = 40
40 kmph Answer: 80, 40
Answer: B
Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 19,000, what is Ramesh's share?	Choose the correct answer
A) s. 7375	B) s. 8379	C) s. 9875	D) s. 10875	E) s. 11875

Solution: Explanation:   Ratio of Suresh and Ramesh's share = 24,000 : 40,000 = 3 : 5   Ramesh's share = Rs. (19000 x 5 / 8) = Rs. 11875   ANSWs. 11875R: s. 11875
Answer: E
If John takes 4 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate?	Choose the correct choice from the following options:
A) 240z/x	B) 4xz	C) 240x/z	D) 240xz	E) 4z/x

Solution: It will take (z/x)(4) minutes which is (z/x)(4)(60) seconds = 240z/x seconds.   The answer is 240z/x.
Answer: A
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?  Choose the correct answer.
A) 10/21 B) 11/21 C) 5/20 D) 9/20 E) 5/21

Solution: Total number of balls = (2 + 3 + 2)= 
(2 + 3 + 2) = 7
7.   Let S be the sample space.   Then, n(S)= Number of ways of drawing 2 balls out of 7   = 7C2   =(7*6)/(2*1)   =42/2= 
42/2 = 21
21   Let E= Event of drawing 2 balls, none of which is blue.   n(E)	= Number of ways of drawing 2 balls out of (2 + 3) balls.   =5C2   =(5*4)/(2*1)   =20/2= 
20/2 = 10
10   P(E)=n(E)/n(s)   =10/21   The answer should be 10/21
Answer: A
On a certain scale of intensity, each increment of 10 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 155 is how many times an intensity corresponding to a magnitude of 125?
Pick:
A) 40  B) 100  C) 400  D) 1000  E) 10 000

Solution: Increase of 40 in magnitude corresponds to 10^4 increase in intensity:   If intensity for 125 is x then for 135 it'll be 10*x, for 145 it'll be 10*10*x=10^2*x, for 155 it'll be 10*10*10*x=10^3*x and for 165 it'll be 10*10*10*10*x=10^3*x.   Answer: 1000.
Answer: D
A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
Choose the most appropriate option: A) 7500 B) 8500 C) 6500 D) 5500 E) 9500

Solution: 35%-----------L   65%-----------W   ------------------   30%----------2250   100%---------? => 7500   7500NSWER:7500
Answer: A
A meeting has to be conducted with 5 managers. Find the number of ways in which the managers may be selected from among 7 managers, if there are 2 managers who refuse to attend the meeting together.  Choose the correct choice from the following choices
A) 6	B) 8	C) 10	D) 11	E) 15

Solution: The total number of ways to choose 5 managers is 7C5 = 21   We need to subtract the number of groups which include the two managers, which is 5C3 = 10.   21 - 10= 
21 - 10 = 11
11   The answer is 11.
Answer: D
A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible? Choose the correct answer:  A) 5  B) 6  C) 9  D) 24  E) 26

Solution: Lets give some identification to the persons   5,B,C,D,E,F   They are arrang in decreasing order of their height   5 being tallest and F being smallest   To satisfy both the conditions   5 should be in the right most position of the second row (5 is the tallest in order to satisfy the condition increasing height from left to right 5 should be the right most and the back person should be taller then the front so 5 should be in the second row)   similarly F should be in the left most positon of first row   lets see the combinations   CB5--------second row   FED---------First row   DC5   FEB   DB5   FEC   EC5   FDB   EB5   FDC   these are the combinations which satisfy both the conditions   so the answer is 5 5
Answer: A
In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?	Choose the correct choice from the following: A) 6 balls B) 7 balls C) 8 balls D) 9 balls E) 10 balls

Solution: Let us first find the fraction of green, blue and yellow balls   1/4 + 1/8 + 1/12 = 6 / 24 + 3 / 24 + 2 / 24 , common denominator   = 11 / 24 , add numerators   The fraction of white balls is given by   24 / 24 - 11 / 24 = 13 / 24   So the fraction 13 / 24 corresponds to 26 balls. If x is the total number of balls then   (13 / 24) of x = 26 balls   or (13 / 24) × x = 26   x = 26 × (24 / 13) = 48 , total number of balls   The fraction of blue balls is 1 / 8 of x. The number of blue balls is given by (1 / 8) of 48 = 6 balls.   6 ballsNSWER IS 6 balls
Answer: A
Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Mettur. Mettur, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mettur over the total taxable land of the village is: Choose the correct answer.
A) 0.20833
B) 0.35424
C) 0.10982
D) 0.20933
E) 0.10984

Solution: Total land of Sukhiya = \inline \frac{480x}{0.6} = 800x   \therefore Cultivated land of village = 384000x   \therefore Required percentage = \inline \frac{800x}{384000}\times 100 = 0.20833   0.20833
Answer: A
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.  Choose the correct choice from the following choices.
A) 287 m
B) 704 m
C) 176 m
D) 186 m
E) 197 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.   = 500 * 2 * 22/7 * 22.4= 
500 * 2 * 22/7 * 22.4 = 70_400
70400 cm= 704 m   Answer:704 m
Answer: B
A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?  Choose the most appropriate option
A) 14 ½ days
B) 16 ½ days
C) 22 ½ days
D) 11 ½ days
E) 19 ½ days

Solution: 22 ½ days   22 ½ days   1/18 + 1/30 = 8/90 = 4/45   45/4 = 11 ¼ *2 = 22 ½ days
Answer: C
There is a 40 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. The first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9th one jumps 10 cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 40 cm, how many insects were still left after the race was over?  Choose the correct choice from the following options.
A) 0 B) 4 C) 6 D) 8 E) 10

Solution: Only the prime numbers greater than 10 and less than 40 were left.   That is 11, 13, 17, 19, 23, 29, 31, and 37.   The total is 8.   The answer is 8.
Answer: D
When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ? Select.
A) 7 years	B) 10 years	C) 14 years	D) 19 years	E) 9 years

Solution: let rahuls age =x   x=0(born) den bro's age=6   father=32+bro=32+6= 
32+6 = 38
38(at the time rahul was born)   mother=father-3=35   mother= 25+ sis   =>35-25=sis   => sis=10.   ANSWER:10 years
Answer: B