MU-NLPC/Calc-aqua_rat huggingface dataset:
For a road work, a contractor was given a deadline to complete the work in 25 days. Hence, he employed a certain number of workers to accomplish the job. But from the very first day 9 workers were absent and the remaining workers could finish the work in 40 days. What number of workers did the contractor hired in the beginning?  Select:
A) 24 B) 37 C) 26 D) 19 E) 17

Solution: Explanation:   Let the number of workers initially hired be x.   Hence, x workers can complete the work in 25 days and (x-9) workers can complete the work in 40 days.   Now, the number of men and the amount of work are in direct proportion and number of men and number of days in indirect proportion.   x*25 = (x – 9)*40   25x = 40x – 360   15x = 360   x = 24   24NSWER:24
Answer: A
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choose the correct choice from the following choices:
A) 337  B) 267  C) 342  D) 287  E) 261

Solution: 400*(90/100)*(95/100)= 
400*(90/100)*(95/100) = 342
342   Answer:342
Answer: C
Two taps can separately fill a cistern 20 minutes and 20 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?  Select
A) 22.8	B) 22.7	C) 22.6	D) 22.9	E) 22.5

Solution: 1/20 + 1/20 - 1/x = 1/18   x = 22.5   Answer:22.5
Answer: E
Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $50.00 on four CDs and five tapes, how much does one tape cost?  Choices:
A) $5.00
B) $6.25
C) $12.00
D) $25.00
E) $100.00

Solution: CD => C   Type => T   Carol: 4C+5T=50   $5.00nna: 12C+5T=100   12C-4C=50   8C=50   C=6.25   4C+5T=50   25+5T=50   5T=25   T=5   $5.00nswer is $5.00
Answer: A
If a/x = 1/3 and a/y =1/ 6, then (x + y) =
Choose the correct choice:
A) A)2a
B) B)a/2
C) C)6a
D) D)7a
E) E)9a

Solution: Ratio 1:   3a = x   Ratio 2:   6a = y   x+y = 9a   Answer is 9a
Answer: E
Jack has two dice, one has six equally probable sides, labeled 1, 2, 3, 4, 5, 6, and the other has seven equally probable sides, labeled 1, 2, 3, 4, 5, 6, 7. If Jack rolls both dice what is the probability that both of the numbers will be 7?  Select the correct option.
A) 3/14
B) 1/7
C) 0
D) 1/2
E) 12/21

Solution: METHOD-1   Probability that the number on first die is 7 = 0   Probability that the number on Second die is 7 = 1/7 [Because 1 out of 7 faces is 7]   Probability that Both Dice result in odd numbers = (0)*(1/7)= 
(0)*(1/7) = 0
0   Answer: Option 0
Answer: C
Calculate the average of all the numbers between 18 and 57 which are divisible by 7.	Choose the correct option: A) 36.9 B) 38.5 C) 18.5 D) 32.5 E) 28.5

Solution: Explanation:   numbers divisible by 7 are 21,28,35,42,49,56,   Average = (21+28+35+42+49+56,) / 6 = 231/6= 
231/6 = 77/2 = around 38.5
38.5   ANSWER: 38.5
Answer: B
Rajan travelled for 12 hours. He covered the first half of the distance at 60 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by Rajan?	Select
A) 376  B) 576  C) 476  D) 566  E) 676

Solution: Let the distance travelled be x km.   Total time = (x/2)/60 + (x/2)/40 = 12 => x/120 + x/80 = 12 => (2x + 3x)/240 = 12   => x = 576 km   Answer:576
Answer: B
2500 - (1002 / 20.04) = ?
Answers:	A) 2984	B) 2983	C) 2982	D) 2450	E) None of these

Solution: 2500-50= 
2500-50 = 2_450
2450   Answer : 2450
Answer: D
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?	Options:  A) 230 m  B) 240 m  C) 260 m  D) 320 m  E) None of these

Solution: Explanation:   Relative speed = (120 + 80) km/hr   =(200 x5/18)m/sec   =(500/9)m/sec   Let the length of the other train be x metres.   Then,	x + 270 / 9 =500/9   x + 270 = 500   x = 230.   230 mNSWER IS 230 m
Answer: A
Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 7 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 7 questions did Zachary answer correctly? Pick.
A) 6 B) 7 C) 8 D) 9 E) 10

Solution: i got two equations:   3x-2y=25   x+y=7   3x-2(7-x)=25   3x-14+2x=25   5x=39   x=7.8 or between 7 and 8. (ANS 7)
Answer: B
It is known that no more than 50 guests will be attending a party. What is the smallest number of sweets that must be brought to the party so that each guest receives the same number of sweets? Choose the correct choice from the following answers:
A) 115
B) 100
C) 56
D) 87
E) 15

Solution: If we assume that the number of guests is no more than 50, the answer is 100 because only 100 is divisible 50.
Answer: B
For each color copy, Print Shop X charges $1.20 and Print Shop Y charges $1.70. How much greater is the charge for 70 color copies at Print Shop Y than at Print Shop X?	Choose the correct choice from the following answers:  A) $27  B) $29  C) $31  D) $33  E) $35

Solution: The difference in the two prices is $1.70 - $1.20 = $0.50 for each color copy.   Each color copy will cost an extra $0.50 at Print Shop Y.   70*$0.50 1.70 -  1.20= 
1.70 -  1.20 = 0.5
$0.50 for each color copy.   Each color copy will cost an extra $0.50 at Print Shop Y.   70*$0.50 = $35   The answer is $35.70* 0.50= 
70* 0.50 = 35
$35   The answer is $35.
Answer: E
If Rs. 10 be allowed as true discount on bill of Rs. 110 due at the end of a certain time, then the discount allowedon the same sum due at the end of double the time is: Choose the correct choice
A) 16	B) 18.33	C) 20.21	D) 26	E) None

Solution: Sol.   S.I. on Rs. (110 - 10) for a certian time = Rs. 10.   S.I. on Rs. 100 for double the time = Rs. 20.   T.D. on Rs. 120 = Rs. (120 - 100) = Rs.20   T.D. on Rs. 110 = Rs. [20 /120 * 110] = Rs. 18.33   Answer 18.33
Answer: B
During the last four years, a large truck company purchased diesel at rates of $1.2, $1.4, $1.5 and $2.1 per gallon. What was the mean cost of diesel over the four-year period if the company spends the same amount of dollars on diesel each year? Select the correct option:
A) $2.5	B) $2.55	C) $1.49	D) $3.25	E) $3.0

Solution: finding the Harmonic mean here.   HM = 4/(1/12 + 1/14 + 1/15 + 1/21) = 14.87   $1.49
Answer: C
Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?
Choose the correct choice from the following answers
A) 22  B) 65  C) 28  D) 27  E) 19

Solution: Explanation:   2) 65 (32 3) 32 (10 7) 10 (1   64 30 7   -------- -------- - -----   1 2 3   => 65   Answer: 65
Answer: B
1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $90, a 10% discount, plus 10% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $80, a 20% sales tax, and $10 rebate after tax
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
Choose the correct choice from the following answers
A) 88.1 B) 86.0 C) 89.1 D) 89.5 E) 90.0

Solution: Option 2 = (90 - 9) + 0.1 * 81   = 81 + 8.1= 
81 + 8.1 = 89.1
89.10   Option 4= 80 + 0.2 * 80 - 10= 
80 + 0.2 * 80 - 10 = 86
86   So the OA is correct - 86.0
Answer: B
Carl can wash all the windows of his house in 8 hours. His wife Maggie can wash all the windows in 4 hours. How many hours will it take for both of them working together to wash all the windows? Answers:	A) 2	B) 2 1/4	C) 3 2/2	D) 4 1/2	E) 5

Solution: Work hrs=AB/(A+B)= 32/12 =3 2/2   Answer is 3 2/2
Answer: C
A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?  Choose the correct choice from the following
A) 5 sec B) 6 sec C) 7 sec D) 10 sec E) None

Solution: Solution   Speed of train relative to man =(60+6) km/hr= 66km/hr   =(66x5/18) m/sec =(55/3) m/sec   ∴ Time taken to pass the man = (110x3/55)sec = 6sec   Answer 6 sec
Answer: B
Jeevan bought an article with 30 per cent discount on the labelled price. He sold the article with 12 per cent profit on the labelled price. What was his per cent profit on the price he bought?	Select the correct option
A) 40 B) 50 C) 60 D) Data inadequate E) None of these

Solution: Let the labelled price of the article = ₹ 100 then   CP = ₹ 70 and SP = ₹ 112.   ∴ Read profit percent = 112−70/70×100   = 42/7×10=60   Answer 60
Answer: C
Which of the following fractions is greater than 3/4 and less than 5/6?
Choose the correct choice from the following answers:
A) 4/5 B) 2/5 C) 1/5 D) 3/5 E) None of them

Solution: 3/4= 
3/4 = 3/4 = around 0.75
0.75, 5/6= 0.833, 1/2= 0.5, 2/3= 0.66, 4/5= 0.8, 9/10= 0.9.   Clearly, 0.8 lies between 0.75 and 0.833.   Therefore, 4/5 lies between 3/4 and 5/6.   4/5nswer is 4/5.
Answer: A
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm  Choose the correct answer.
A) 178 cm2	B) 179 cm2	C) 285 cm2	D) 167 cm2	E) 197 cm2

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 18) * (15)   = 285 cm2   Answer: 285 cm2
Answer: C
What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Choose the correct answer:  A) 2  B) 3  C) 4  D) 5  E) 6

Solution: 23) 1056 (45   92   ---   136   115   ---   21   ---   Required number = (23 - 21)= 
(23 - 21) = 2
2.   2)
Answer: A
Each week a restaurant serving Mexican food uses the same volume of chili paste, which comes in either 25-ounce cans or 15-ounce cans of chili paste. If the restaurant must order 40 more of the smaller cans than the larger cans to fulfill its weekly needs, then how many larger cans are required to fulfill its weekly needs?	Choose the correct choice from the following choices
A) 40 B) 30 C) 60 D) 45 E) 55

Solution: let x be the number of 25 ounce cans. Therefore (x+40) is the number of 15 ounce cans.   Total volume is same, therefore   25x=15(x+40)   10x=600   x=60   ans is 60
Answer: C
Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed X?  Choose the correct choice from the following answers
A) 6
B) 8
C) 10
D) 12
E) 16

Solution: Let the current speed be x miles per hour.   Time taken if speed is 50% faster (i.e. 3x/2 = 1.5x) = 96/1.5x   Time taken if speed is reduced by 4 miles/hr (i.e. (x-4)) = 96/(x-4)   As per question, 96/(x-4) - 96/1.5x = 16   Solving this X we get x = 8.   8.
Answer: B
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective. Choose the correct choice from the following options.
A) 1/187  B) 1/127  C) 1/178  D) 1/129  E) 1/126

Solution: Out of nine, five are good and four are defective. Required probability   = ⁴C₄/⁹C₄   = 1/126   Answer:1/126
Answer: E
A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member? Choose the correct option.
A) 10%
B) .20%
C) 25%
D) 40%
E) 50%

Solution: there are only 2 possibility : either they both are in same team or in another team.   so probability to be in same team = 50 percernt   hence 50%
Answer: E
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?	Select.
A) months  B) months  C) months  D) months  E) months

Solution: 7 * 8 : 9 * x = 8:9 => x= 7   ANSWER:months
Answer: D
An amount of money lent against simple interest at 4 1/2 % per annum amounts to Rs.381 after 6 years. Find the sum. Choose the correct choice
A) 100 B) 200 C) 300 D) 400 E) 500

Solution: GIVEN SI+P=381   SI=381-P   SI=PTR/100   381-P=P*6*4.5/100   P=300   ANSWER:300
Answer: C
The perimeter of a square is equal to the perimeter of a rectangle of length 19 cm and breadth 14 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)	Choose the most appropriate option:
A) 22.78
B) 23.54
C) 23.5
D) 24.55
E) 25.93

Solution: Let the side of the square be a cm.   Perimeter of the rectangle = 2(19 + 14) = 66 cm   Perimeter of the square = 66 cm   i.e. 4a =66   A = 16.5   Diameter of the semicircle = 16.5 cm   Circumference of the semicircle   = 1/2(∏)(16.5)   = 1/2(22/7)(16.5) = 25.93 cm to two decimal places   Answer: 25.93
Answer: E
Amar takes as much time in running 24 meters as a car takes in covering 60 meters. What will be the distance covered by Amar during the time the car covers 2.2 km? Options
A) 700 m B) 500 m C) 870 m D) 880 m E) 840 m

Solution: 880 mistance covered by Amar   = 24/60 (2.2km)   = 2/5(2200) = 880 m   Answer: 880 m
Answer: D
A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially?
Choose the correct choice from the following options:
A) 25 B) 21 C) 20 D) 10 E) 15

Solution: Suppose the can initially contains 7x and 5x litres mixtures A and B   respectively   Quantity of A in mix. left =[7x –7/12 * 9 ] =[7x –21/4]   Quantity of B in mix. left =[5x –5/12 *9 ] = [ 5x - 15/4 ]   Therefore [ 7x-21/4 ] =7/9 or 28x-21 = 7/9   [5x-15/4]+9 20x+21   252x -189  28 -21= 
 28 -21 = 7
7/9   [5x-15/4]+9 20x+21   252x -189=140x+147 or 112x =336 , x = 3.   Quantity of A in the can initially =7*3= 
7*3 = 21
21   ANSWER:21
Answer: B
A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years. Choose the correct choice from the following answers:
A) 2987
B) 3120
C) 2798
D) 2689
E) 2761

Solution: Let A be the amount received at the end of the three years.   A = 4800[1 + 10/100][1 + 20/100][1 + 25/100]   A = (4800 * 11 * 6 * 5)/(10 * 5 * 4)   A = Rs.7920   So the interest   =7920 - 4800   = Rs.3120   Answer:3120
Answer: B
In a bag, there are 2400 ball, and their colors are red, green blue.. The ratio of the balls are 15:13:17.Then how many red color balls are available in the bag?
Answers
A) 900 B) 1600 C) 750 D) 890 E) 1010

Solution: Red:green:blue = 15+13+17= 
15+13+17 = 45
45; Ratio of the red balls= 15/40 simplify =3/8*2400=900.900nswer =900
Answer: A
By mixing two brands of coffee and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
Pick one:
A) 12.66
B) 23
C) 116.66
D) 10.66
E) 43.2

Solution: E   C   Let the cost of the brand be Rs. X per kg.   C.P. of 5 kg = (2 * 200 + 3 * x) = Rs. (400 + 3x)   S.P of 5 kg = Rs. (5 * 177) = Rs. 885   [885 - (400 + 3x)]/(400 + 3x) * 100 = 18   24250 - 150x = 3600 + 27x   177x = 20650 => x = 116 2/3   So, cost of the other brand = Rs. 116.66.
Answer: C
In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 8 men and 9 women?
Select.
A) 8C4 9C5  B) 4C8 5C9  C) 7C5 9C4  D) 9C4 7C5  E) NONE

Solution: Group consisting of 8 men and 9 women   4 men can be selected from 8 men in 8C4 ways   5 women can be selected from 9 women in 9C5 ways   Therefore, Total number of ways= 8C4 9C5   8C4 9C5NSWER:8C4 9C5
Answer: A
If x < y < 0, which of the following must be true?  Choose the correct choice from the following answers.
A) x+y is a positive integer B) x+y is a negative integer C) xy is a negative integer D) x/y is a negative integer E) 2x/y is a negative integer

Solution: Given x, y are less than 0. So both will be negative integers   negative + negative = negative   negative * negative = positive   negative / negative = positive   So, option B is true and all others are false.   Answer : x+y is a negative integer
Answer: B
There is a total of 120 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/4 and the probability that it will be green is 1/3. What is the probability that the marble will be either red or blue ? Choose the correct choice.
A) 1/6  B) 1/4  C) 2/7  D) 1/3  E) 5/12

Solution: Total marbles in the box=120   white marbles=120/4= 
120/4 = 30
30   green marbles=120/3= 
120/3 = 40
40   w+g=70   red+blue=50   p(red or blue)=50/120=5/12   ANSW5/12R:5/12
Answer: E
Ramu bought an old car for Rs. 42000. He spent Rs. 15000 on repairs and sold it for Rs. 64900. What is his profit percent?  Options:
A) 12%  B) 13.85%  C) 18%  D) 82%  E) 23%

Solution: Total CP = Rs. 42000 + Rs. 15000 = Rs. 57000 and SP   = Rs. 64900   Profit(%) = (64900 - 57000)/57000 * 100   = 13.85%   Answer:13.85%
Answer: B
Seven cards numbered from 1 to 7 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 10, what is the probability that one of the two cards drawn is numbered 4? Pick one
A) 2/7
B) 1/10
C) 1/7
D) 1/5
E) 2/5

Solution: There are 5 ways to get a total sum of 10.   2 of these ways include the number 4.   The probability that one of the cards is a 4 is 2/5   The answer is 2/5.
Answer: E
How many litres of pure acid are there in 10 litres of a 25% solution
Pick one:  A) 1.5  B) 1.6  C) 2.5  D) 1.8  E) 1.9

Solution: Explanation:Question of this type looks a bit typical, but it is too simple, as below... It will be 10 * 25/100= 
10 * 25/100 = 5/2 = around 2.5
2.5 Answer: Option 2.5
Answer: C
Last year, Bill's farm produced 768,000 oranges. If Bill distributed his apples evenly across 9 different retail shops, how many apples remained with him.
Pick:
A) 1 orange B) 2 oranges C) 3 oranges D) 4 oranges E) 5 oranges

Solution: This is equivalent to finding the first number that is divisible by 9 that occurs before 768,000 oranges.   In order to divide the sum in 9 parts, the amount must be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 768,000 = 21 and 18 is divisible by 9.   Hence, we need to remove 3 to this number for it to be divisible by 9   3 orangesorrect Option: 3 oranges
Answer: C
Sara's mother is 6 times older than Sara. Next year, however, she will be only 5 times older than her daughter. How old is Sara's mother. Choose the correct choice from the following options
A) 24 years B) 25 years C) 26 years D) 27 years E) 28 years

Solution: At the present,   Sara's age is x.   Sara's mother's age is y=6x.   Next year,   Sara's age will be x+1.   Sara's mother's age will be y+1=5(x+1).   From the two equations, we can calculate Sara's age:   y=6x   y+1=5 (x+1)   6x+1=5x+5   6x-5x=5-1= 
5-1 = 4
4   If Sara is currently 4 years old, and her mother is 6 times older, then her age is   6x=6×4=24.   24 yearsNSWER: 24 years
Answer: A
48 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?	Pick
A) 10	B) 16	C) 13	D) 18	E) 19

Solution: Let the required number of days be x.   Less persons, More days (Indirect Proportion)   More working hours per day, Less days (Indirect Proportion)   Persons 30 : 48 :: 12 : x   Working hours/day 6 : 5   30 x 6 x x = 48 x 5 x 12   x = (48 x 5 x 12)/(30 x 6)   x = 16   ANSWER 16
Answer: B
If 6^q is a factor of (10!)^2, What is the greatest possible value of q ?	Options.
A) 2
B) 4
C) 6
D) 8
E) 10

Solution: q 10!= 10*9*8*7*6*5*4*3*2*1 = 2*5*3*3*2*2*2*7*2*3*5*2*2*3*2 = 2^8*3^4*5^2*7   6= 2*3   Therefore only the exponents of 2 and 3 are relevant, 2^8 or 3^4 -> higher number counts = 8 -> Answer Choice 8
Answer: D
Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?	Choices:
A) 328 B) 150 C) 279 D) 277 E) 267

Solution: 1/2 * 20(9 + 6) = 150 cm2   Answer:150
Answer: B
How many 3-digit even numbers are possible such that if one of the digits is 5, the next/succeeding digit to it should be 6 Choose the correct choice.
A) 5  B) 305  C) 365  D) 405  E) 495

Solution: 560, 562, 564, 566, and 568, so total 5. Hence Option 5.
Answer: A
A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest frequency is twice the lowest. For each of the 12 lower frequencies, the ratio of a frequency to the next higher frequency is a fixed constant. If the lowest frequency is 330 cycles per second, then the frequency of the 7th note in the scale is how many cycles per second?
Select.
A) 330 * sqrt 2 B) 330 * sqrt (2^7) C) 330 * sqrt (2^12) D) 330 * the twelfth root of (2^7) E) 330 * the seventh root of (2^12)

Solution: Let the constant be k.   F1 = 330   F2 = 330k   F3 = 330 k * k = 330 * k^2   F13= 330 * k^12   we know F13 = 2 *F1 = 2 * 330 2 * 1= 
2 * 1 = 2
2 * 330= 
2 * 330 = 660
660   660/330= k^12   k = twelfth root of 2   for F7...   F7 = 330 * k^6 ( as we wrote for F2 and F3)   F7 = 330 * (twelfth root of 2) ^ 6   F7 = 330 * sqrt (2)   The answer is 330 * sqrt 2.
Answer: A
A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is?
Choose the correct option.
A) 277	B) 268	C) 270	D) 150	E) 282

Solution: 125% of 120% of A = 225   125/100 * 120/100 * A = 225   A = 225 * 2/3= 
225 * 2/3 = 150
150.   Answer: 150
Answer: D
Find the average of first 50 natural numbers.
Options:  A) A)25.5  B) B)20.5  C) C)24.5  D) D)19.9  E) E)25

Solution: Sum of first n natural numbers = n(n+1)/2   sum of first 50 natural numbers = 50*51/2= 
50*51/2 = 1_275
1275   average= 1275/50= 
1275/50 = 51/2 = around 25.5
25.5   25.5nswer is 25.5
Answer: A
If x dollars is invested at 9 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 9 percent investment will exceed the annual income from the 8 percent investment by $48. If $2,000 is the total amount invested, how much is invested at 9 percent?  Choose the correct answer.
A) 300	B) 250	C) 1223.53	D) 1133.24	E) 776.47

Solution: 2 equations with 2 unknowns   9x / 100 - 8y / 100 = 48   and   x + y = 2000   Solving these 2 equations, x = 1223.53 and y = 776.47   Answer -1223.53
Answer: C
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?  Pick:
A) 288	B) 270	C) 289	D) 480	E) 211

Solution: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.   4a = 2(l + b)   2a = l + b   l . b = 480   We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .   Area of the square cannot be found.   Answer: 480
Answer: D
An urn contains 5 red, 6 blue and 8 green balls. 3 balls are randomly selected from the urn, find the probability that the drawn ball are blue?
Pick one:
A) 20/969  B) 20/875  C) 21/876  D) 3/512  E) 2/9

Solution: Sample space = no. of ways 3 balls were drawn from urn = 19C3 = 969   No. ways 3 blue balls were drawn from bag = 6C3 = 20   Probability = 20 / 969   20/969ns - 20/969
Answer: A
A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 970gm. for a kg.His gain is …%.
Select the correct option.
A) 3.09% B) 5.36% C) 4.26% D) 6.26% E) 7.26%

Solution: His percentage gain is 100*30/970 as he is gaining 30 units for his purchase of 970 units.   so 3.09%.   3.09%NSWER:3.09%
Answer: A