MU-NLPC/Calc-aqua_rat huggingface dataset:
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choose the correct choice from the following answers:
A) 12/458
B) 12/451
C) 12/455
D) 22/455
E) 12/459

Solution: Explanation:   Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   When three marbles are drawn, the probability that one is yellow and two are red   = (Â²12/455â‚)(â´12/455â‚‚)/Â¹âµ12/455â‚ƒ   = (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13) = 12/455   Answer:12/455
Answer: C
A man purchases an electric heater whose printed price is 160 if he received two successive discounts of 20% and 10% he paid: Choose the correct choice.
A) Rs.620
B) Rs. 115.20
C) Rs.450
D) Rs.120
E) Rs.140

Solution: Explanation:   Price after 1st discount = 80% of Rs. 160 = Rs. 128   Price after 2nd discount = 90% of Rs. 128 = Rs. 115.20   ANSWER:Rs. 115.20
Answer: B
How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336	Select:
A) 4
B) 6
C) 7
D) 8
E) 9

Solution: 132 = 4 x 3 x 11   So, if the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.   264 11,3,4 (/)   396 11,3,4 (/)   462 11,3 (X)   792 11,3,4 (/)   968 11,4 (X)   2178 11,3 (X)   5184 3,4 (X)   6336 11,3,4 (/)   Therefore the following numbers are divisible by 132 : 264, 396, 792 and 6336.   Required number of number = 4.   4)
Answer: A
A sum of money place at compound interest doubles itself in 2.5 years. In how many years will it amount to eight times itself?  Choose the correct choice from the following
A) 7.5 years	B) 15 years	C) 22.5 years	D) 25 years	E) 27.5 years

Solution: 100 ---- 200 ---- 2.5   400 ---- 2.5   800 ---- 2.5   ------   7.5 years   7.5 yearsnswer: 7.5 years
Answer: A
There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green? Choose the correct choice.
A) 2/21  B) 3/13  C) 4/15  D) 2/13  E) 8/21

Solution: Total number of balls = (8 + 7 + 6)= 
(8 + 7 + 6) = 21
21   Let E= event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.   Therefore, n(E) = 8.   P(8/21) = 8/21.
Answer: E
A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?  Select the correct option:
A) 8/5  B) 8/3  C) 3/5  D) 5/8  E) 5/3

Solution: Let the man's rate upstream be x kmph and that downstream be y kmph.   Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.   44 * x /5 = 4 * y   y = 11/5 * x   Required ratio = (y+x)/2 : (y-x)/2   = 8/5 : 3/5   = 8/3   Ans- 8/3
Answer: B
Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?  Choose the correct choice from the following options
A) 30  B) 36  C) 70  D) 80  E) 150

Solution: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks.” Jane’s rate is (1 drum)/(4 weeks) = 1/4. Zane’s rate is (1 drum)/(6 weeks) = 1/6. The combined rate of Jane + Zane is   R = 1/4 + 1/6 = 3/12 + 2/12 = 5/12   That’s the combined rate. We need to make 15 drums — we have a rate and we have an amount, so use the “art” equation to solve for time:   T = A/R = 15/(5/12) = 15*(12/5) = (15/5)*12 = 3*12= 
3*12 = 36
36   Answer 36
Answer: B
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.9500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Pick:
A) Rs.500
B) Rs.600
C) Rs.700
D) Rs.1500
E) Rs.2500

Solution: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000= 
4 * 8000 = 32_000
32000 ----(1)   Sum of the salaries of the person for the months of February, March, April and May= 4 * 9500= 
4 * 9500 = 38_000
38000 ----(2)   (2)-(1) i.e. May - Jan= 6000   Salary of May is Rs.6500   Salary of January = Rs.500   Rs.500NSWER:Rs.500
Answer: A
In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly? Choose the correct choice:
A) 9	B) 5	C) 8	D) 10	E) 6

Solution: Explanation:   It is not possible to guess only three fruits correctly: the fourth fruit is then correct too! Therefore, nobody has guessed three fruits correctly and   123-43-39-31= 
  123-43-39-31 = 10
10 people have guessed four fruits correct   Answer 10
Answer: D
A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $20 more than that received by B, find the total amount shared by A, B and C.
Choose one:  A) $320  B) $420  C) $720  D) $220  E) $200

Solution: A = 1/3 (B+$720) => $720 = 3A - B ---(1)   B = 2/7 (A+$720) => $720 = 3.5 B - A --(B)   A-B = $20   A = 20+B   (1)===> $720 = 60+3B - B = 2B+60 ==> 2B-$720 = -60 ---(3)   (2)===> $720 = 3.5 B - B-20 = 2.5B-20==>2.5B-$720 = 20---(4)   from (4) and (3) 0.5B = 80   B = $160   A= $180   $720 =540-160= 
540-160 = 380
$380 Total amount= 180+160+380= 
180+160+380 = 720
$720   Answer: $720
Answer: C
Out of 7 constants and 4 vowels how many words of 3 consonants and 2 vowels can be formed?	Choices: A) 14571 B) 36512 C) 45120 D) 54120 E) 25200

Solution: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)   = 7C3 * 4C2   = 210   Number of groups each having 3 consonants and 2 vowels = 210   25200ach group contains 5 letters   Number of ways of arranging 5 letters among themselves   = 5! = (5 * 4 * 3 * 2 * 1)   = 210   Required number of words = (210 * 210)   = 25200   Ans: 25200
Answer: E
Sony and Johnny caught 40 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch? Pick one
A) 12	B) 16	C) 34	D) 38	E) 8

Solution: s+j=40   s=4*j   j=8   ANSW8R:8
Answer: E
plot ABCD is as shown in figure, where AF = 30 m, CE = 40 m, ED = 50 m, AE = 120 m. Find the area of the plot ABCD? Choose the correct choice:
A) 7800 sq.m	B) 7208 sq.m	C) 8200 sq.m	D) 7200 sq.m	E) 7202 sq.m

Solution: Area of plot ABC7200 sq.m   = Area of A7200 sq.mE + Area of AFB + Area of BCEF   = 1/2 * 50 * 120 + 1/2 * 40 * 30 + 40 * 90   = 3000 + 600 + 3600= 
3000 + 600 + 3600 = 7_200
7200 sq.m   Answer: 7200 sq.m
Answer: D
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. 35,000, A receives:	Choose one:
A) Rs. 8400  B) Rs. 11,900  C) Rs. 13,600  D) Rs. 14,700  E) Rs. 15,000

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.   A's share = Rs.(35000 X 21/50)= Rs. 14,700.   ANSWER IS Rs. 14,700
Answer: D
A jar contains 20 red, 20 blue, 6 yellow and 4 pink balls. If two balls are to be selected at random and without replacement, approximately what is the probability both of them to be the same colour? Pick
A) 1/25
B) 1/15
C) 1/3
D) 1/2
E) 1

Solution: ok so jar contains 20 red 20 blue 6 yellow and 4 pink..   Adding the number of balls we get 50 total..   Now its a counting + probability exercise..   2 stages exist: Pick first ball then second ball..   Denominator for first ball = 50 since there are 50 balls   denominator for second ball = 49 since only 49 would remain   for each type ball i constructed probability of getting 2 of same.. I used a counting method.. first ball 20 chances blue and 2nd ball 19 chances blue and so on and so forth   Blue = (20*19)/(50*49) rounded to 400/2500   Red = (20*19)/(50*49) rounded to 400/2500   Yellow = (6*5)/(50*49) rounded to 30/2500   Pink = (4*3)/(49*50) rounded to 12/2500   Then I summed these individual probabilities to get 842/2500   This is ~1/3 as  800*3= 
 800*3 = 2_400
2400   ANS:1/3
Answer: C
The bankers discount and the true discount of a sum at 5% per annum simple interest for the same time are Rs.60 and Rs.40 respectively. What is the sum and the time? Choose the correct option
A) Sum = Rs.200and Time = 10 years
B) Sum = Rs.160 and Time = 10 years
C) Sum = Rs.140 and Time = 10 years
D) Sum = Rs.120 and Time = 10 years
E) None of these

Solution: Explanation :   BD = Rs.60   TD = Rs.40   R = 10%   F = BD ×TD/(BD – TD)=60×40/(60–40)=60×40/20=Rs. 120   BSum = Rs.120 and Time = 10 years = Simple Interest on the face value of the bill for unexpired time =FTR/100   ⇒60 = (120×T×5)/100   ⇒600 = 12 × T × 5⇒600 = 60 × T   ⇒ T = 600/60= 
600/60 = 10
10 years Answer : Option Sum= Rs.120 and Time = 10 years
Answer: D
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is? Answers.
A) 288
B) 260
C) 245
D) 267
E) 208

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (130 + x)/30 = 25/2   x = 245 m.   Answer:245
Answer: C
A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 9.00 a.m., at what time will he first touch a flag at 120 feet from the ground?  Choose the correct answer.
A) 4 p.m.	B) 5 p.m.	C) 6 p.m.	D) 7 p.m.	E) None of these

Solution: Explanation:   Net ascent of the monkey in 1 hour = (30 - 20)= 
(30 - 20) = 10
10 feet.   So, the monkey ascends 90 feet in 9 hours i.e. till 6 p.m.   Clearly, in the next 1 hour i.e. till 7 p.m. the monkey ascends remaining 30 feet to touch the flag.   Answer:7 p.m.
Answer: D
How many even 3 digit integers greater than 700 with distinct non zero digits are there ? Choose the correct choice from the following choices
A) 729  B) 243  C) 108  D) 88  E) 77

Solution: 1. Number of 3 digit even numbers >than 700 and <1000 = 149. We can use Arithmetic progression to find 149. How? 702 is the first even number and 998 is the last even number. The difference is 2 between the numbers. So, we have 702 + (n-1)2 = 998 or n=149.   2. Number of 3 digit even numbers that need to eliminated = 41, How? 702, 704, 706, 708, 710 => 5 numbers x 3 (for 70x, 80x and 90x series)= 15. Also, 720, 730...790 - 8 numbers x 3 = 24. Also 800 and 900 - 2 numbers. So, 15 + 24 + 2 = 41.   3. So net result is 149-41= 
149-41 = 108
108.   4. 108 is the answer.
Answer: C
Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 28 hours. If one additional machine were used under the same operating conditions, in how manyfewerhours of simultaneous operation could the production order be fulfilled?
Choose the most appropriate option
A) 7 B) 9 C) 12 D) 27 E) 48

Solution: If 3 Machines can do the work in 28 hr then 4 Machines can do the work in   3/4*28= 
  3/4*28 = 21
21 Hrs. hence time saved will be 7hr   option 7 is the correct answer
Answer: A
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?	Options.
A) 36
B) 77
C) 88
D) 99
E) 55

Solution: (3x-9):(5x-9) = 9:17   x = 12 => 3x = 36   36nswer: a
Answer: A
The number of new words that can be formed by rearranging the letters of the word 'LIVE' is	Choose the correct choice from the following answers:
A) 28
B) 32
C) 50
D) 32
E) 23

Solution: Explanation:   Number of words which can be formed = 4! - 1 = 24 - 1= 
24 - 1 = 23
23.   Answer: 23
Answer: E
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?  Choose the correct choice:
A) 22388	B) 38000	C) 27888	D) 27288	E) 28112

Solution: Explanation:   CP + CP/8 = 45000   CP = 40000   SP = 40000*(95/100)= 
40000*(95/100) = 38_000
38000   Answer: 38000
Answer: B
In basket A there are 2 apples and 3 oranges, in basket B there are 2 apples and 5 oranges. A basket is chosen at random, what is the probability of picking up an orange in basket B?  Pick
A) 2/5.	B) 5/12.	C) 3/10.	D) 5/14.	E) 2/3.

Solution: Probability of picking up one basket out of two= 1/2   probability of picking 1 orange from basket B= 5/7   Hence the desired probability= 1/2*5/7= 5/14   5/14. is the answer
Answer: D
The average (arithmetic mean) of y numbers is x. If 20 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ? Select.
A) x/6 - 6	B) x/6 - 5	C) x/7 - 5	D) x/5 - 5	E) x/5 - 6

Solution: (A1 + A2 + .. + Ay)/y = x   (A1 + A2 + .. + Ay + 20)/(y+1) = x - 5   => (xy + 20)/(y+1) = x - 5   => xy + 20 = yx -5y + x - 5   => 25 = x - 5y   => 5y = x - 25   => y = x/5 - 5   Answer - x/5 - 5
Answer: D
What is the sum of the greatest common factor and the lowest common multiple of 16 and 36?  Choose the correct choice from the following choices.
A) 148
B) 222
C) 144
D) 157
E) 164

Solution: Prime factorization of the given numbers   16= 2^4   36= 2^2 *3*2   Greatest common factor = 2^2 = 4   Lowest common multiple = 2^4*3^2 =144   Sum = 4+ 144= 
4+ 144 = 148
148   148nswer 148
Answer: A
The average age of students in section A of 100 students is 20 years and the average age of students in section B of 150 students is 30 years. Find the average age of students in both sections taken together?
Choose the correct choice from the following answers:
A) 26 years  B) 30years  C) 15years  D) 25years  E) 20years

Solution: The required average = (100*20+150*30)/100+150 = 26 years   26 yearsnswer is 26 years
Answer: A
The letters of the word WOMAN are written in all possible orders and these words are written out as in a dictionary ,then the rank of the word 'WOMAN' is  Choices:	A) 117	B) 120	C) 118	D) 119	E) 116

Solution: No of words beginning with 117 : 4!   No of words beginning with M : 4!   No of words beginning with N : 4!   No of words beginning with O : 4!   No of words beginning with W117 : 3!   No of words beginning with WM : 3!   No of words beginning with WN : 3!   No of words beginning with WO : 3!   No of words beginning with WO117 : 2!   No of words beginning with WOM117N :1   So, R117NK of WOM117N =4(4!) + 3(3!)+2! + 1   =96+18+2+1= 
96+18+2+1 = 117
117   117NSWER:117
Answer: A
In a mixed college 160 students are there in one class. Out of this 160 students 5/8 students are girls. How many boys are there ?	Select:
A) A)40 B) B)60 C) C)80 D) D)120 E) E)140

Solution: Total Number of Students :160   Total Girls :   160*5/8= 
  160*5/8 = 100
100   Total 60oys : 160-100= 
160-100 = 60
60   Answer is 60
Answer: B
Which one the following fractions has the Lowest value?	Choose the correct option: A) A)488/850 B) B)499/850 C) C)477/850 D) D)511/850 E) E)501/850

Solution: All options have the same denominator 850. If denominator is same, the fraction with the lowest value will be the one with the Lowest numerator.   Answer (477/850).
Answer: C
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years, The ratio of the number of boys to the number of girls in the class is  Choose the correct choice from the following answers
A) 7 : 3
B) 2 : 3
C) 9 : 3
D) 6 : 3
E) 2 : 5

Solution: Explanation:   Let the ratio be k : 1. Then,   k * 16.4 + 1 * 15.4 = (k + 1) * 15.8   <=> (16.4 - 15.8) k = (15.8 - 15.4) <=> k = 0.4/0.6 = 2/3.   Required ratio = 2/3 : 1 = 2 : 3.   Answer: 2 : 3
Answer: B
Find the area of circle whose radius is 7m?
Choose the correct answer.
A) 288 B) 154 C) 767 D) 168 E) 178

Solution: 22/7 * 7 * 7= 
22/7 * 7 * 7 = 154
154   Answer: 154
Answer: B
The value of a car depreciates at the rate of 40% every year. It was purchased 3 years ago. If its present value is Rs. 864, its purchase price was	Pick one
A) 4500  B) 4000  C) 3500  D) 3000  E) 2500

Solution: Explanation:   = Rs.4000   Answer: 4000
Answer: B
Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3?
Pick one
A) 1246  B) 2346  C) 5678  D) 3334  E) 4567

Solution: If sum of the digits is divisible by 3, the number is divisible by 3.   Therefore, required number of non-negative integers is equal to count of numbers less than 10,000 which are divisible by 3.   Such numbers are (3, 6, 9, ... , 9999) (arithmetic progression with first term=3, last term=9999, common difference=3).   Count of such numbers =   9999   3   =   3333   99993=3333   But zero is also divisible by 3.   This makes our total count 3334   3334
Answer: D
Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $750; each of his remaining paychecks was $60 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his pay checks for the year?  Select.
A) $752  B) $796  C) $765  D) $773  E) $775

Solution: = (750*6+ 810 *20)/26   = 796   Answer is B.   Posted from my mobile device
Answer: B
A coin is tossed live times. What is the probability that there is at the least one tail?	Choose the correct choice from the following
A) 31/32	B) 31/35	C) 31/39	D) 31/12	E) 31/39

Solution: Let P(T) be the probability of getting least one tail when the coin is tossed five times.   = There is not even a single tail.   i.e. all the outcomes are heads.   = 1/32 ; P(T) = 1 - 1/32 = 31/32   31/32nswer:31/32
Answer: A
If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
10 – 9 + 8 × 3 ÷ 20 =
Pick one:
A) 6
B) 10
C) 14
D) -2
E) 8

Solution: 14 14
Answer: C
In what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Select the correct option: A) 8 sec B) 1 sec C) 9 sec D) 6 sec E) 2 sec

Solution: T = 20/36 * 18/5= 
20/36 * 18/5 = 2
2 sec   Answer:2 sec
Answer: E
A used car dealer sold one car at a profit of 25 percent of the dealers purchase price for that car and sold another car at a loss of 20 percent of the dealers purchase price for that car. If the dealer sold each car for $20,000 , what was the dealers total profit or loss, in dollars, for the two transactions combined?
.
Select the correct option:
A) 1000 profit
B) 2000 profit
C) 1000 loss
D) 2000 loss
E) 3334 loss

Solution: car 1 :   P1*1.25 = 20000   P1 = 16000   car2   P2*0.8 = 20000   P2 = 25000   P1+P2 = 41000   Final sale = 40000   1000 loss ..   ANSWER:1000 loss
Answer: C
Aaron will jog from home at 5 miles per hour and then walk back home by the same route at 10 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?	Choose the correct choice from the following answers:
A) 15
B) 18
C) 10
D) 12
E) 14

Solution: xyt/(x+y)   x= 5, y=10, t= 3   5*10*3/5+10 = 150/50 = 10   Answer : 10
Answer: C
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2430?
Choose the correct choice from the following options
A) s.800  B) s.810  C) s.820  D) s.900  E) s.920

Solution: 2430 * 1/3= 
2430 * 1/3 = 810
810   Option s.810
Answer: B
A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Answers:
A) Rs. 207.40 B) Rs. 534.60 C) Rs. 648 D) Rs. 655.60 E) Rs. 685.60

Solution: No. of shares= 4455/8.25= 
4455/8.25 = 540
540   income on shares=540*10= 
540*10 = 5_400
5400   annual income=12*5400/100= 
12*5400/100 = 648
648   ANSWER:Rs. 648
Answer: C
At what rate percent of simple interest will a sum of money double itself in 33 years? Choose the most appropriate option
A) 6.54 %
B) 4.54 %
C) 8 .2 %
D) 3.03 %
E) 5.54 %

Solution: Let sum = x. Then, S.I. = x.   Rate = (100 * S.I.) / (P * T) = (100 * x) / (x * 33)   = 100/33 = 3.03 %   ANSWER:3.03 %
Answer: D
When a train travels at a speed of 70kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?	Choose the correct choice from the following answers: A) 37.5km B) 50.5km C) 60km D) 85.5km E) 95km

Solution: Let x be the time reached with the speed 70km/h   50km/h ----> x+15   Distance is equal so   70(km/h)× xhr = 50(km/h) × (x+15) hr   So   70 x = 50x + 750   So the would be in km   37.5kmnd x = 37.5   37.5kmNSWER:37.5km
Answer: A
John makes $60 a week from his job. He earns a raise andnow makes $72 a week. What is the % increase? Options
A) 20%
B) 16.66%
C) 16.56%
D) 17.66%
E) 18.1%

Solution: Increase = (12/60)*100 = (1/5)*100= 
(1/5)*100 = 20
20%.   20%
Answer: A
At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but,not together?  Choose the correct answer:
A) (5 + 5/11 )min past7
B) (5 + 5/11 )min past6
C) (5 + 5/11 )min past2
D) (5 + 5/11 )min past1
E) (5 + 5/11 )min past8

Solution: When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.   At 7 o'clock, they are 25 min. spaces apart.   Minute hand will have to gain only 5 min. spaces.   55 min. spaces are gained in 60 min.   5 min spaces are gained in min = min   so, Required time = min past 7   (5 + 5/11 )min past7nswer: (5 + 5/11 )min past7
Answer: A
There are 42 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?	Choose the correct choice from the following answers
A) 1) 4	B) 2) 7	C) 3) 12	D) 4) 21	E) 5) 27

Solution: x -> Golf 3) 12lub   2x -> Tennis 3) 12lub   y -> both   x+2x-y = 42   3x - y =42   multiples of 3 greater than 42   45   48   51   54-12= 
54-12 = 42
42   IMO (3) 12)
Answer: C
A fruit seller had some oranges. He sells 40% oranges and still has 300 oranges. How many oranges he had originally?  Answers:
A) 420
B) 700
C) 220
D) 500
E) None of these

Solution: Explanation :   He sells 40% of oranges and still there are 300 oranges remaining   => 60% of oranges = 300   ⇒ (60 × Total Oranges)/100 = 300   ⇒ Total Oranges/100 = 5   ⇒ Total Oranges = 5 × 100 = 500   Answer : Option 500
Answer: D
In May Mrs Lee's earnings were 50 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?  Choose the correct choice:
A) 55
B) 56
C) 34
D) 78
E) 23

Solution: Lets say the Family Income is 100   In May, lee earned 50Family income is 50   In june, Lee earned 20% more than May, so it is (50+20*50/100 = 60)   Family Income is same 50   In June Lee's Income percent is 60*100/110 ~ 55   55ns is 55
Answer: A
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Select.
A) 2288 B) 277 C) 800 D) 2878 E) 211

Solution: 25 = E/(1000 - E) * 100   1000 - E = 4E   1000 = 5E => E = 200   1000 - 200= 
1000 - 200 = 800
800.Answer: 800
Answer: C
If a : b = 5 : 9 and b : c = 4: 7, find a : b : c  Choose the correct choice from the following options
A) 63:36:20	B) 36:20:63	C) 20:63:36	D) 20:36:63	E) None of them

Solution: a:b=5:9 and b:c=4:7= (4X9/4): (7x9/4) = 9:63/4   a:b:c = 5:9:63/4 =20:36:63.   Answer is 20:36:63.
Answer: D