MU-NLPC/Calc-aqua_rat huggingface dataset:
In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to
obtain a mixture worth Rs.16.50 per Kg? Choices
A) 1 : 2  B) 2 : 1  C) 3 : 7  D) 7 : 3  E) None of these

Solution: Explanation :   By the rule of alligation,we have   CP of 1 kg of 1st variety pulse CP of 1 kg of 2nd variety pulse   15 20   Mean Price   16.5   20-16.5= 
20-16.5 = 3.5
3.5 16.5-15=1.5   Required Ratio = 3.5 : 1.5 = 35 : 15 = 7 : 3   Answer : Option 7 : 3
Answer: D
In how many ways can the word LEADING arranged if Vowels always come together? Select:  A) 120  B) 720  C) 60  D) 8220  E) 100

Solution: LEADING=Has 3 vowels(EAI) and 4 consonant(LDNG)   Total letters=7   For Consonant=5!(that is 4+1 letters. one comes from the vowels )   =5*4*3*2*1= 
5*4*3*2*1 = 120
120 ways   For Vowels=3!=3*2*1= 
3*2*1 = 6
6   Total number of ways=120*6= 
120*6 = 720
720 ways   Option 720
Answer: B
Kim finds a 2-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?	Choose the correct choice from the following answers:
A) 3/5	B) 2/5	C) 7/5	D) 1/2	E) 8/15

Solution: 3 pieces of 1/5 length and two piece each of 1/15 and 2/15 lengths. removing one piece each from pieces of each kind of lengths the all that will remain will be   2 pieces of 1/5 i.e 2/5, 1 piece of 1/15, and 1 piece of 2/15   Which gives us 2/5 + 1/15 + 2/15 -----> 3/5   3/5nswer is 3/5
Answer: A
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Select the correct option.
A) 10 kmph	B) 11 kmph	C) 16 kmph	D) 18 kmph	E) 19 kmph

Solution: Speed of the boat in still water = (60+80)/2= 
(60+80)/2 = 70
70 kmph. Speed of the stream= (80-60)/2= 
(80-60)/2 = 10
10 kmph.10 kmphnswer: 10 kmph
Answer: A
A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles.Find the least number of square tiles required to cover the floor? Options.
A) 222  B) 267  C) 176  D) 287  E) 261

Solution: Explanation:   Area of the room=(544 * 374)   size of largest square tile= H.176.F of 544 & 374 = 34 cm   Area of 1 tile = (34 x 34)   Number of tiles required== [(544 x 374) / (34 x 34)] = 176   Answer: 176) 176
Answer: C
If an investor puts $900 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year? Choose the most appropriate option.
A) $986.25
B) $988.25
C) $990.25
D) $992.25
E) $994.25

Solution: 1.05*1.05*900= 
1.05*1.05*900 = 992.25
$992.25   The answer is $992.25.
Answer: D
About the number of pairs which have 16 as their HCF and 136 as their LCM, the conclusion can be
Choose the correct choice from the following choices
A) only one such pair exists B) only two such pairs exist C) many such pairs exist D) no such pair exists E) None of these

Solution: Explanation:   HCF is always a factor of LCM. ie., HCF always divides LCM perfectly.   Correct Option: no such pair exists
Answer: D
A car moves at 80 km/hr. What is the speed of the car in meters per second ? Options.
A) 2029msec	B) 2229msec	C) 2429msec	D) 2629msec	E) None of these

Solution: ExplanaƟon:   Speed=(80   ∗   518)m/sec=2009m/sec=2229msec   Answer: 2229msec
Answer: B
A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4.5 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?	Choose the correct choice from the following choices
A) 5729	B) 5760	C) 2889	D) 6480	E) 2799

Solution: 1/x - 1/6 = -1/8   x = 24 hrs    24 * 60 * 4.5= 
 24 * 60 * 4.5 = 6_480
6480.Answer: 6480
Answer: D
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent E of the distribution is less than m +d ?  Select the correct option.
A) 16%  B) 32%  C) 48%  D) 84%  E) 92%

Solution: D   The prompt says that 68% of the population lies between m-d and m+d.   Thus, 32% of the population is less than m-d or greater than m+d.   Since the population is symmetric, half of this 32% is less than m-d and half is greater than m+d.   Thus, E=(68+16)% or (100-16)% of the population is less than m+d.84%
Answer: D
If p and r are integers, and p^2 = 14r, then r must be divisible by which of the following?	Choose the correct choice.
A) 2
B) 4
C) 5
D) 7
E) 14

Solution: Ans: D   Solution: for p to be an int 14 r must be whole square of a number.   14r= 7*2*r   to make it whole square we need 7   so r can must be divisible by 7y where y is itself a whole square.   so 7 is the ans
Answer: D
A train covers a certain distance at a speed of 320kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of  Choose the correct choice from the following answers
A) 850km/hr
B) 800km/hr
C) 740km/hr
D) 640km/hr
E) 600km/hr

Solution: Explanation:   640km/hristance = 320×4 = 1280km   Required speed = (1280/2)= 
(1280/2) = 640
640km/hr   Answer: Option 640km/hr
Answer: D
By selling 45 lemons for Rs 40, a man loses 20 %. How many should he sell for Rs 24 to gain 20 % in the transaction ?  Pick one.
A) 16  B) 18  C) 20  D) 22  E) 25

Solution: Explanation:   Let S.P. of 45 lemons be Rs. x.   Then, 80 : 40 = 120 : x or x =40X120/80=60   For Rs.60, lemons sold = 45   For Rs.24, lemons sold =45/60X24=18.   ANSWER IS 18
Answer: B
If Rs.1440/- are divided among A,B and C so that A receives 1/3rd as much as B and B receives 1/4th as much as C. The amount B received is?
Choose the correct choice from the following choices:	A) 250	B) 270	C) 310	D) 330	E) 350

Solution: A:270:C = 1:3:12   Total parts = 16   270's share is = 3 parts   16 -----> 1440   1 -----> 90   3 -----> 270 (270's share is 270)   270)
Answer: B
A football player scores 5 goals in his fifth match thus increasing his average goals score by 0.2. The total number of goals in his 5 matches would be  Choose the correct answer
A) 14
B) 16
C) 18
D) 10
E) 21

Solution: While this question can be solved with a rather straight-forward algebra approach (as the other posters have noted), it can also be solved by TESTing THE ANSWERS. One of those numbers MUST be the total number of goals...   From a tactical standpoint, it's best to TEST either Answer B or Answer D, so if the answer is not correct, then you would have a gauge for whether you should gohigherorlowerwith your next TEST.   Here, I'll start with Answer E =21 goals   If....   Total goals = 21 goals   5th game = 5 goals   1st 4 games = 16 goals   Avg. for 1st 4 games = 16/4= 
16/4 = 4
4 goal/game   Avg. for all 5 games= 21/5= 
21/5 = 21/5 = around 4.2
4.2 goals/game   This is an 21XACT MATCH for what we're told in the prompt, so Answer 21 MUST be the answer.
Answer: E
If P(A) = 4/7 and P (B) = 2/5, find P (A n B) if A and B are independent events. Choose the correct choice from the following
A) 7/25
B) 3/25
C) 8/35
D) 2/13
E) 3/17

Solution: P (A n B) = P(A) . P(B)   P (A n B) = 4/7 . 2/5   P (A n B) = 8/35.   8/35
Answer: C
If the difference between compound interest (interest compounded yearly) and simple interest on a certain sum at the rate 20% p.a. after 3 years is Rs.1280 then what is the principal?
Select:
A) 7900  B) 8,000  C) 10,000  D) 8,300  E) 9,300

Solution: let p is the principal,so p([120/100]^3-1)-p*20/100*3=1280   p[728/1000-3/5]=1280   p=1280*5*1000/728*5-3000=10000   ANSWER:10,000
Answer: C
An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.20286/- in 3 years at the same rate of interest. Find the rate percentage?  Choose the correct option.
A) 5%  B) 7%  C) 9%  D) 15%  E) 12%

Solution: Explanation:   The difference of two successive amounts must be the simple interest in 1 year on the lower amount of money.   S.I = 20286/- - 17640/- = Rs. 2646/-   Rate of interest = (2646/17640) × (100/1) => 15%   Answer: Option 15%
Answer: D
If the given two numbers are respectively 6% and 30% of a third number, then what percentage is the first of the second ?
Choose the correct choice from the following choices:
A) 20%
B) 25%
C) 18%
D) 30%
E) none of these

Solution: Here, l = 6 and m = 30   Therefore, first number = l/m x 100% of second number = 6/30 x 100% of second number = 20% of second number   20%NSWER:20%
Answer: A
A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel? Choose the most appropriate option.
A) 3388	B) 2882	C) 1400	D) 277	E) 2282

Solution: Explanation:   Given the ratio of the circumference of front wheel is 40 inches and back wheel is 70 inches   Distance covered = Circumference of the wheel Ã— No. of Revolutions made by the wheel   If n is the number of revolutions made by back wheel, the number of revolutions made by front wheel is n+15   Distance covered by both the wheels is the same   40*(n+3)=70n   n=20   Front wheel : Back Wheel   Circumference 40 : 70   Revolutions 35 : 20   Distance covered \small \Rightarrow 40Ã—35 = 70Ã—20 = 1400 inches.   Answer: 1400
Answer: C
Departments A, B, and C have 15 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
Choose the most appropriate option:
A) 19,000
B) 40,000
C) 100,000
D) 641,250
E) 400,000

Solution: 15c1 * 15c1* 15c1*20c2 = 15*15*15*190= 
15*15*15*190 = 641_250
641250. Hence 641,250 is the correct answer.
Answer: D
A person buys an article at Rs.620. At what price should he sell the article so as to make a profit of 25%?
Choose the correct choice from the following answers:  A) 600  B) 882  C) 775  D) 662  E) 521

Solution: 775ost price = Rs.620   profit = 25% of 620= Rs.155   Selling price = 775ost price + Profit   = 620 + 155= 
620 + 155 = 775
775   Answer: 775
Answer: C
The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes? Choose one:  A) 150, 208  B) 150, 206  C) 150, 200  D) 150, 202  E) 150, 201

Solution: The incomes of A and B be 3P and 4P.   Expenditures = Income - Savings   (3P - 100) and (4P - 100)   The ratio of their expenditure = 1:2   (3P - 100):(4P - 100) = 1:2   2P = 100 => P = 50   Their incomes = 150, 200   Answer:150, 200
Answer: C
What is the product of the greatest 2 digit multiple of 15 and the greatest 2 digit prime number?	Select the correct option:
A) 9,312	B) 9,408	C) 9,506	D) 9,603	E) 8730

Solution: the greatest 2 digit multiple of 15: 90   the greatest 2 digit prime numebr: 97   97*90.   8730   8730
Answer: E
BMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years at least 6 of them still work in AMS is ?	Choose one
A) 0.19	B) 1.22	C) 0.1	D) 0.16	E) 0.18456

Solution: Asking atleast 6 of them continue ,   it has 3 cases.   1 all 8 professors continue.   2 7 professors continue and 1 professors discontinue.   3 6 professors continue and 2 professors discontinue.   1st case all 8 continue is = 2/10*3/10*4/10*5/10*6/10*7/10*/8/10*9/10=9factorial/10power8   =362880/100000000   =>0.00363.   2nd case any 7 professors continue, and 1out of 8 discontinue ,8C1 means 8 ways.   = 2/10*3/10.......8/10*1/10, (9/10 prodbability professor discontinue then 1/10)   in this way if we calculate for 8 possibilities then value is =>0.03733.   3rd case any 6 professors continue and 2out of 8 discontinue , 8C2 means 28 ways.   = 2/10*3/10.....2/10*1/10( 2 professors discontinue.   if we calculate for 28 possibilites P value is=>0.1436   =0.00363+0.03733+0.1436= 
0.00363+0.03733+0.1436 = 0.18456
0.18456=   0.18456
Answer: E
In the Science City, Kolkata the rate of the ticket is increased by 50% to increased the revenue but simultaneously 20% of the visitor decreased. What is percentage change in the revenue. if it is known that the Science city collects one revenue only from the visitors and it has no other financial supports:  Pick:
A) + 20%  B) - 25%  C) + 305  D) - 30%  E) Cannot determined

Solution: Solution: Let the initial revenue be 100.   100 ----- 50% ↑ (Ticket up)-----> 150 ----- 20% ↓ (Visitors down) -----> 120.   There is 20% increase in the revenue.   + 20%nswer: Option + 20%
Answer: A
Machine P and Machine Q are each used to manufacture 440 sprockets. It takes Machine P 10 hours longer to produce 440 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?  Choose the correct choice from the following answers.
A) 5  B) 4  C) 55  D) 95  E) 125

Solution: P makes x sprockets per hour.   Then Q makes 1.1x sprockets per hour.   440/x = 440/1.1x + 11   1.1(440) = 440 + 11x   11x = 44   x = 4   The answer is 4
Answer: B
A person can row at 9 kmph and still water. He takes 6 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph? Choose the correct choice.
A) 60 km B) 87 km C) 89 km D) 29 km E) 20 km

Solution: Let the distance between A and B be x km.   Total time = x/(9 + 1) + x/(9 - 1) = 6.5   => x/10 + x/8 = 13/2 => (4x + 5x)/40 = 13/2 => x   = 29 km.   Answer:29 km
Answer: D
Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 10 km each. Then they turned left and ran for another 7.5 km.
What is the distance (in kilometers) between the the two twins when they stop?  Choose the correct choice from the following.
A) 21
B) 23
C) 25
D) 27
E) 30

Solution: The distance between them is the hypotenuse of a right angle triangle with sides 15 km and 20 km. The hypotenuse = sqrt(15^2 + 20^2) = 25   The answer is 25.
Answer: C
A rectangular courtyard 3.78 m lang and 5.25 m broad is to be paved exactly with square tiles, all of the same size. The minimum number of such tiles is:  Choose the correct answer.
A) 425	B) 430	C) 440	D) 450	E) 460

Solution: l = 378 Cm and b = 525 Cm   Maximum length of a square tile   = HCF of (378,525) = 21 Cm   Number of tiles = (378×525)/(21×21) = (18×25) = 450   Answer is 450.
Answer: D
Each of the three people individually can complete a certain job in 3, 4, and 6 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
Answers:
A) 1/3
B) 9/20
C) 8/15
D) 5/12
E) 2/3

Solution: The two slowest people work at rates of 1/4 and 1/6 of the job per hour.   The sum of these rates is 1/4 + 1/6 = 5/12 of the job per hour.   The answer is 5/12.
Answer: D
The true discount on a bill due 9 months hence at 16% per annum is Rs. 210. The amount of the bill is
Answers:
A) 1200
B) 1960
C) 1600
D) 1354
E) None of these

Solution: Explanation:   Let P.W. be Rs.x.   Then, S.I. on Rs. x at 16% for 9 months = Rs. 210.   x Ã— 16 Ã— (9/12) Ã— (1/100) = 210 or x = 1750   P.W. = Rs. 1750   Sum due = P.W. + T.D. = Rs.(1750   210) = Rs. 1960.   Answer: 1960
Answer: B
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? Options.
A) 65 kg B) 70 kg C) 75 kg D) 80 kg E) 85 kg

Solution: Total weight increased = (8 x 2.5) kg = 20 kg.   Weight of new person = (65 + 20)= 
(65 + 20) = 85
85 kg.   answer :85 kg
Answer: E
A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.	Choose the correct choice from the following
A) 6:10:5
B) 5:10:6
C) 10:5:6
D) 10:6:5
E) 5:6:10

Solution: Initial investment capital ratio of A and B = 3 : 5   Let initial capital of A and B be 3x and 5x respectively.   6:10:5mount that C invested after 6 months =5x (since it is equal to B's investment)   Ratio in which profit should be distributed after 1 year   =3x×12:5x×12:5x×6   =3×12:5×12:5×6   =3×2:5×2:5   =6:10:5   6:10:5nswer is 6:10:5.
Answer: A
A bullet train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the bullet train must run to reduce the time of journey to 40min will be. Choose the correct choice from the following choices
A) 80 kmph
B) 40 kmph
C) 60 kmph
D) 90 kmph
E) 30 kmph

Solution: 60 kmph   60 kmph   Time=50/60 hr=5/6hr   Speed=48mph   distance=S*T=48*5/6= 
48*5/6 = 40
40km   time=40/60hr=2/3hr   New speed = 40* 3/2= 
40* 3/2 = 60
60kmph
Answer: C
Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 9. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?
Select:
A) (4m-27)/[m(m-3)]
B) (4m-27)/[m(m-6)]
C) (4m-27)/[m(m-9)]
D) (4m-27)/[m(m-8)]
E) (4m-20)/[m(m-10)]

Solution: Three of the sandwiches were evenly divided among the students   i.e. Amount of Sandwiches with each students = 3/m   Amount of 4th Sandwich with remaining (m-9) students = 1/(m-9)   The amount of Sandwich that carol ate = 3/m + 1/(m-9) = (3m-27+m)/[m(m-9)] = (4m-27)/[m(m-9)]   Answer: (4m-27)/[m(m-9)]
Answer: C
If a light flashes every 6 seconds, how many times will it flash in 1/4 of an hour?
Choose the correct choice:
A) 51	B) 151	C) 251	D) 351	E) 451

Solution: In 1/4 of an hour there are  15*60= 
 15*60 = 900
900 seconds   The number of 6-second intervals= 900/6= 
900/6 = 150
150   After the first flash, there will be 150 more flashes for a total of 151.   The answer is 151.
Answer: B
A person covered one-fourth of the total distance at 17 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?  Choices:
A) 21 (1/8) B) 21 (19/25) C) 21 (8/25) D) 29 (1/25) E) 21 (4/25)

Solution: Let the total distance be x km   total time taken = (x/4)/17 + (3x/4)/24 = 25x/544   Average speed = x/(25x/544) = = 21 (19/25)kmph.   Answer: 21 (19/25)
Answer: B
Dhanumjay invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?  Choose the correct choice from the following answers
A) 8% p.a. B) 5% p.a. C) 6% p.a. D) 4% p.a. E) 3% p.a

Solution: Explanation:   Let the rate of interest be R% p.a.   17400[1 + R/100]2 = 17400 + 1783.50   [1 + R/100]2 = (17400 + 1783.50)/17400   = 1 + 1025/10000 = 1 + 41/400   = 441/400 = [21/20]2   [1 + R/100] = 21/20   R/100 = 1/20   ∴ R = 5   Answer: Option 5% p.a.
Answer: B
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Options: A) 14 years B) 19 years C) 33 years D) 38 years E) 39years

Solution: Let the son's present age be x years. Then, (38 - x) = x   2x = 38.   x = 19.   Son's age 5 years back (19 - 5)= 
(19 - 5) = 14
14 years.   14 yearsnswer:14 years
Answer: A
How many anagrams can we make with the word 'CACAO'?	Select the correct option:
A) 5!/(3!)2	B) 5!/(2!)2 2!	C) 5!/(3!)2 3!	D) 4!/(2!)2	E) 5!/(2!)2

Solution: n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.   The letter pattern 'CACAO' consists of 5 letters of which there are 2C's, 2A's and 1O.   Number of arrangements = 5!/(2!)2   Answer: 5!/(2!)2
Answer: E
Find the term next in series..
1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,25/4,?  Choose the correct choice from the following options.
A) next number is 48
B) 58
C) 40
D) 43
E) 44

Solution: [1,1/2,3/2,2], [5,1/3/16/3,15], [12,1/4,25/4,x]   1+1/2=3/2......1/1/2=2   5+1/3=16/3.....5/1/3=15   12+1/4=25/4....12/1/4=48   next number is 48NSWER:next number is 48
Answer: A
If 9 is a factor of 2k, then which of the following may not be an integer?	Choose the correct answer:	A) 6k/54 + 2k/3	B) (4k-18)/9	C) (2k+27)/9	D) (81-4k^2)/81	E) (2k-3)/3

Solution: I got the right answer A after plugging in 18 for k.   While going through Kaplan's explanation, I couldn't understand the part about choice A.   "6k/54 + 2k/3 = 3/6 * 2k/9 + 2k/3.   Since 9 is a factor of 2k, 3 is also factor of 2k. So 2k/3 is an integer, as is 2k/9. But 3/6 = 1/2, so if 2k/9 is not even, the expression 3/6 * 2k/9 will not be even."   But, isn't 2k/9 always even? 9 is a factor of 2k, which means that we could have 2(9), 2(2)(9), 2(3)(9), and so forth. The 9 in the denominator cancels out the 9 in the numerator. So we are left with 2 * something. So 2k/9 is even.6k/54 + 2k/3
Answer: A
If the selling price of 50 books is equal to the cost price of 40 books, then the loss or gain percent is:
Pick one
A) 10  B) 30  C) 20  D) 40  E) 50

Solution: C   20%   Let C.P. of each books be $ 1.   Then, C.P. of 50 books= $50;   S.P. of 50 books = $40.   Loss % = 10/50 * 100= 
10/50 * 100 = 20
20%
Answer: C
At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 2 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?	Choose the most appropriate option: A) 2 B) 3 C) 4 D) 5 E) 6

Solution: 39 = 19 + 18 + 12 - 2 - 2x   2x = 19 + 18 + 12 - 2 - 39   = 45 - 37= 
45 - 37 = 8
8   x= 4   4
Answer: C
The area of a circle of radius 5 is numerically what percent of its circumference?	Choose one:
A) 200  B) 225  C) 240  D) 250  E) None

Solution: Solution   Required % = [ Π x (5)2 / 2Π x 5 x 100]%   ‹=›250%.   Answer 250
Answer: D
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?  Choose the most appropriate option:  A) 297 m  B) 178 m  C) 245 m  D) 278 m  E) 297 m

Solution: Speed = (45 * 5/18) m/sec   = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2   ==> 2(130 + X) = 750 ==> X   = 245 m.   Answer:245 m
Answer: C
How many paying stones, each measuring 2 m * 2 m are required to pave a rectangular court yard 30 m long and 18 m board?  Choose the correct choice from the following answers:  A) 99  B) 18  C) 135  D) 17  E) 12

Solution: 30 * 18= 2* 2 * x => x   = 135   Answer: 135
Answer: C
Vijay spends 40% of his monthly income on household items, 20% of his monthly income on buying cloths, 10% of his monthly income on medicines and saves the remaining amount which is Rs. 6000. Find his monthly income.  Pick one.
A) Rs. 40000	B) Rs. 20000	C) Rs. 50000	D) Rs. 45000	E) None of these

Solution: Savings 30% - 6000   Expenditure 70% - 14000   Total - 20000   Answer : Rs. 20000
Answer: B
X and Y invest Rs.21000 and Rs.15000 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?	Options:  A) Rs.14400  B) Rs.26400  C) Rs.12000  D) Rs.12500  E) Rs.15400

Solution: Ratio of the investment=21000:15000=7:5   Share of X in the profit=(26400×7)/12=   =15400   ANSWRs.15400R:Rs.15400
Answer: E