MU-NLPC/Calc-aqua_rat huggingface dataset:
Find the smallest number that must be added to 1780 to make it a perfect square.	Options.
A) 17	B) 42	C) 69	D) 47	E) 52

Solution: 4 1780 (42   16   82	180   164   16   Number to be added = (43)2 - 1780 = 1849 - 1780= 
1849 - 1780 = 69
69.   ANSWER 69
Answer: C
square of 99=?	Choose one:
A) 9001	B) 9621	C) 9431	D) 9801	E) 9601

Solution: Square of (100-1)=10000+1-200   9801   answer 9801
Answer: D
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?  Options.
A) 1:96  B) 1:76  C) 1:92  D) 1:28  E) 1:39

Solution: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.   (4x)(3x) = 6912   12x2 = 6912   x2 = 576 = 4 * 144 = 22 * 122 (x > 0)   => x = 2 * 12= 
2 * 12 = 24
24   Ratio of the breadth and the areas= 3x : 12x2 = 1 : 4x = 1: 96.   1:96nswer: 1:96
Answer: A
The positive number a is q percent greater than the positive number b, which is z percent less than a itself. If a is increased by z percent, and the result is then decreased by q percent to produce a positive number c, which of the following could be true?
I. c > a
II. c = a
III. c < a Pick
A) I only
B) II only
C) III only
D) I and II only
E) II and III only

Solution: Let q = 10% then z = 100/11 %   let b = 100 then a = 110   after increasing a by z and decreasing by q we get c= 108   therefore c<a   III only it is answer
Answer: C
Free notebooks were distributed in a class among all the students. Each student got notebooks which were one-eighth of the number of student. If number of student been half, then each child would have received 16 notebooks in total. Find the total number of books distributed among students?  Options
A) 234 B) 345 C) 267 D) 355 E) 512

Solution: Let suppose total number of students in class are X.   Then from the question we can conclude it that,   X∗18X=X2∗16=>X=64Total notebooks,=18X2=(18∗64∗64)=512   512
Answer: E
A man performs 1/2 of the total journey by rail, 1/4 by bus and the remaining 4km on foot. His total journey is	Choose the correct choice from the following answers.
A) 18km B) 16km C) 12km D) 24km E) 25km

Solution: Explanation:   Let the journey be x km   Then, 1x/2 + 1x/4 +4 =x   3x +16 =4x   X = 16km   Answer: Option 16km
Answer: B
Raj 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?	Options:
A) 7	B) 6	C) 8	D) 5	E) 4

Solution: 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   Therefore R = 5.Answer: 5
Answer: D
Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $35.42. How much did the meal cost without the tip?
Pick
A) $28.98  B) $29.91  C) $30.15  D) $30.60  E) $30.80

Solution: The tip is a percent increase of 15%, which is 115%. Let x equal the price before the tip.   Thus, 115% of this price equals $35.42:   1.15x = 35.42   Divide both sides by 1.15:=>x=35.42/1.15= 
35.42/1.15 = 30.8
30.80   correct answer $30.80)$30.80
Answer: E
In the city of San Durango, 50 people own cats, dogs, or rabbits. If 20 people owned cats, 30 owned dogs, 30 owned rabbits, and 20 owned exactly two of the three types of pet, how many people owned all three?  Options:
A) 2  B) 4  C) 8  D) 5  E) 12

Solution: Total = C + 5 + R - (C5 + 5R + CR) - 2C5R   50 = 20 + 30 + 30 - (20) - 2x   x = 5   So, answer will be 5
Answer: D
A sack of 30 marbles total contains 10 red marbles, 8 white marbles, 9 blue marbles and 3 green marbles. One marble is removed and examined at a time and placed back into the bag until a white marble is successfully removed. What is the probability that a white marble will be removed on the 2nd try or better? Pick one:  A) 1/3  B) 3/8  C) 4/9  D) 7/12  E) 11/15

Solution: Favorable case = a white marble is removed in the 2nd try or later.   Unfavorable case = a white marble is removed on the first attempt.   Probability = Favorable outcomes / Total out comes   Also probability = 1-(Unfavorable outcomes / Total out comes)   Unfavorable case: probability of apple picked in first extraction = 8/30   Total Unfavorable Probability = 4/15   i.e., Favorable Probability = 1 - (4/15) = 11/15   Answer Option: 11/15
Answer: E
A jar contains 16 marbles, of which 4 are red, 3 are blue, and the rest are yellow. If 2 marbles are to be selected at random from the jar, one at a time without being replaced, what is the probability that the first marble selected will be red and the second marble selected will be blue?	Choose the correct choice from the following:
A) 3/64	B) 1/20	C) 1/16	D) 1/12	E) 1/8

Solution: Note that we want the first marble selected to be red and the second marble selected to be blue.   P=4/16*3/15=1/20.   Answer: 1/20.
Answer: B
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 30 metres? Choose the correct answer.
A) 6 B) 8 C) 12 D) 4 E) 13

Solution: Speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 60 m= 30/5= 
30/5 = 6
6 seconds.   6nswer: 6
Answer: A
A train 440 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 choices:
A) 5 sec  B) 6 sec  C) 7 sec  D) 24 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 = (440 x 3/55)sec = 24 sec   Answer 24 sec
Answer: D
A car runs at the speed of 55 km per hour when not serviced and runs at 90 kmph when serviced. After servicing the car covers a certain distance in 3 hours. How much time will the car take to cover the same distance when not serviced?	Choices:
A) 8 hours
B) 6 hours
C) 9 hours
D) 7 hours 12 minutes
E) None

Solution: Explanation :   Time = 90*3 / 45= 
90*3 / 45 = 6
6 hours   Answer â€“ 6 hours
Answer: B
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?  Options:	A) 25%	B) 50%	C) 20%	D) 5%	E) None of these

Solution: L.C.M of 15 and 12 = 60   CP of 60 articles = Rs. 100 (25 * 4)   SP of 60 articles = Rs. 150 (30 * 5)   Profit percentage = (150 - 100)/100 * 100= 
(150 - 100)/100 * 100 = 50
50%   ANSWER:50%
Answer: B
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?	Choose the correct choice: A) 36 B) 45 C) 48 D) 49 E) 51

Solution: Relative speed = 60 + 90= 
60 + 90 = 150
150 km/hr.= 150 * 5/18 = 125/3 m/sec.   Distance covered = 1.10 + 0.9= 
1.10 + 0.9 = 2
2 km= 2000 m.   Required time = 2000 * 3/125= 
2000 * 3/125 = 48
48 sec.   ANSWER:48
Answer: C
5 points are marked on a straight line and another 6 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choose the correct choice from the following
A) 21
B) 91
C) 135
D) 196
E) 364

Solution: Solution: select 2 from 5 and one from 6 + select 2 from 6 and 1 from 5   61352*51351 + 51352*61351   = 135   Answer : 135
Answer: C
The length of a rectangular plot is 10 meters more than its width. If the cost of fencing the plot at $15.50 per meter is $744, what is the length of the plot in meters?  Choose the correct choice from the following
A) 11  B) 13  C) 15  D) 17  E) 19

Solution: perimeter = 2L + 2W = 2L + 2(L-10) = 4L - 20   cost of fencing = (4L - 20) * 15.50 = 62L - 310 = 744   62L = 1054   L = 17 meters   The answer is 17.
Answer: D
In a hotel we can order two types of varieties, but we can make 9 more varieties in home. One can choose the four varieties with two from hotel as must. Find how many ways one can order.
Choose the correct choice from the following choices
A) 14	B) 15	C) 36	D) 28	E) 29

Solution: 2c2*9c2=36ways   ANSWER:36
Answer: C
mr. depak has $439,774 in his bank account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among her six best friends?
Options:	Choose the correct answer:
A) $1  B) $2  C) $3  D) $4  E) $6

Solution: To find the least amount deepak should add to his saving account to split the money evenly among his 6 best friends,   he needs to make the total divisible by 6   Simply add the individual digits of the total = 4+3+9+7+7+4= 
4+3+9+7+7+4 = 34
34   If you add 2 , the number is divisible by 6 (34+ 2)   Correct Option : $2
Answer: B
A straight line has a slope of 1/2 and a y-intercept of -2. On this line, what is the x-coordinate of the point whose y-coordinate is 10? Choose the correct choice from the following choices.
A) (8) B) (12) C) (13) D) (16) E) (24)

Solution: For the point intercept form of a line y=mx+b ; m is the slope and (b=y when x=0)   Slope=y2−y1/ x2−x1   we are given slope =1/2   y intercept is always equal to b when x = 0 (therefore at origin we can always write any (x,y) pair as (0,b)   y intercept hence (b) is given -2   now we have got all the values that we want to calculate slope   1/2=10−(−2)/x−0   1/2=10+2/x==>1/2=12/x==>x=24   CORR(24)CT ANSW(24)R IS (24)
Answer: E
A hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 30 kilometers per hour. The cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up? Options.
A) 7.5 B) 15 C) 17.5 D) 25 E) 32.5

Solution: In 5 minutes, the cyclist travels a distance of   (5/60)*30= 
  (5/60)*30 = 5/2 = around 2.5
2.5 km.   The time it takes the hiker to complete this distance is 2.5/4 hours= 37.5 minutes   The cyclist needs to wait  37.5 - 5= 
 37.5 - 5 = 32.5
32.5 minutes   The answer is 32.5.
Answer: E
The value of 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749 is closest to: Options
A) 0.48 B) 5.8 C) 0.58 D) 0.058 E) 0.0058

Solution: = 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749   = 489 x 0.05 x 2/0.09 x 93 x 100   = 489/9 x 93 x 10   = 163/279 x 1/10   = 0.58/10= 
0.58/10 = 0.058
0.058 (or) 0.06.   Answer is 0.058.
Answer: D
The ratio of cats to dogs to birds to fish is 3:4:5:6. There are no other types of animals in the pet store. which of the following cannot be the total number of animals in the store?  Select the correct option:	A) 36	B) 54	C) 72	D) 90	E) 101

Solution: The parts add up to 3 + 4 + 5 + 6= 
3 + 4 + 5 + 6 = 18
18, so we know that any possible number of total answers must be a multiple of 18. All five answer choices are multiples of 18:   (A) 36= 18*2   (B) 54 = 18*3   (C) 72 = 18*4   (D) 90 = 18*5   (101) 101 = not a multiple of 18   ans is 101
Answer: E
. Mr.P and Mr.Q can build a wall in 10 days; Mr.Q & Mr.R can take 14 days to build the same wall; and Mr.P and Mr.R can do it in 8 days. Who among them will take more time when they work alone?  Choose the correct choice from the following choices:
A) 8.8  B) 8.7  C) 1.3  D) 8.6  E) 8.5

Solution: Answer: b   Explanation:   Let the total work be 280 units.   Now P and Q capacity per day = 280/10= 
280/10 = 28
28 units.   Q and R capacity per day=280/14= 
280/14 = 20
20 units   P and R capacity per day= 280/8 = 25 units.   Adding all the three,   2(P + Q + R) = 73 ⇒ P + Q + R = 36.5 units.   We are asked to find who will take maximum time. So the capacity is minimum. R capacity is minimum as (P + Q + R) - (P + R) = 36.5 - 28 = 8.5.   Answer:8.5
Answer: E
If the cost price of 81 chocolates is equal to the selling price of 45 chocolates, the gain percent is : Choose one:	A) 80%	B) 85%	C) 82%	D) 70%	E) 75%

Solution: Explanation :   Solution: Let C.P. of each chocolate be Re. 1. then, C.P. of 45 chocolates = Rs. 45;   S.P. of 45 chocolates =Rs. 81.   .'. Gain% = 36*100/45= 
36*100/45 = 80
80%   80%nswer : 80%
Answer: A
In the xy-coordinate system, line k passes through points (-6m, 0) and (0, 3m). Which of the following is a possible equation of line k?
Select the correct option:	A) y = -2*x + 3m	B) y = 1/2*x - 6m	C) y = 3x + 3m	D) y = 1/2*x + 3m	E) y = -1/3*x - 6m

Solution: The slope of the line is 3m/6m=1/2.   The y-intercept is 3m.   the equation of the line is: y = 1/2*x +3m   The answer is y = 1/2*x + 3m.
Answer: D
Look at this series: 1875000,375000,75000, ... What number should come next?	Choose the correct option.
A) 17	B) 25000	C) 15	D) 18	E) 8

Solution: 25000   This is a simple division series. Each number is divided by 5.   ANSER 25000
Answer: B
A and B started a business with their capitals Rs. 3000 and 9,000 respectively. Annual profit will be distributed between them in the ratio
Choose the correct choice.
A) 2:7	B) 1:9	C) 1:3	D) 2:3	E) 1:5

Solution: 3,000:9,000   Ans. 1:3   ANSWER:1:3
Answer: C
In how many a committee of 5 members can be selected from 6men 5 ladies consisting of 3 men and 2 ladies Choose the correct choice:	A) 451	B) 125	C) 200	D) 362	E) 168

Solution: (3 men out of 6) and (2 ladies out of 5) are to be chosen   Required number of ways   =(62003 * 52002)   = 200   Ans: 200
Answer: C
An empty wooden vessel weighs 8% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.  Select the correct option:
A) 3/7 B) 5/9 C) 1/24 D) 4/9 E) 2/5

Solution: An empty wooden vessel weighs 8% of its total weight when filled with paint:   Vessel = 0.08(Vessel + Paint);   8V = V + P (so the weight of completely filled vessel is 8V)   P = 7V (so the weight of the paint when the vessels is completely filled is 7V).   The weight of a partially filled vessel is one half that of a completely filled vessel:   V + P' = 1/2*8V;   P' = 3V (so the weight of the paint when the vessels is partially filled is 3V).   What fraction of the vessel is filled?   So, we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled:   P'/P = 3V/7V = 3/7.   3/7nswer: 3/7.
Answer: A
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?	Choose one: A) 600 B) 720 C) 1440 D) 4320 E) 4800

Solution: for such questions , we can treat both as one then total person=6..   these 6 can be arranged in 6! ways.. but within these 6 , one consists of two people who can be arranged in 2 ways CF or FC.. so ans =6!*2=1440   ans 1440
Answer: C
In a stack of cards, 7 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 4/5. What is the number of cards in the stack? Choices:
A) 8  B) 11  C) 12  D) 15  E) 18

Solution: This question can be solved by TESTing THE ANSWERS.   We're told that we have 7 blue cards and an unknown number of red cards. We're also told that if 2 cards are to be chosen at random from the stack WITHOUT replacement, then the probability that the cards chosen will BOTH be BLUE is 4/5. We're asked for the TOTAL number of cards.   Normally, when TESTing THE ANSWERS,   Answer A: 8 total cards   With 8 total cards, and 7 blue cards, the probability of pulling two blue cards is...   (7/8)(6/7) = 42/56   Since 4/5 = 0.75, this is clearly the answer.   8
Answer: A
How many numbers with 1 different digits can be formed using only the odd digits?
Answers
A) 10 B) 20 C) 4 D) 60 E) 120

Solution: Odd digits are 2, 4, 6, 8.   We want 3 different digits.   First digit can be chosen in 4 ways.   Total ways = 4   = 4   Hence option (4).
Answer: C
A Man can row upstream at 55kmph and downward stream at 47 kmph. Find Man's rate of the current	Options.
A) 87km/hr B) 20km/hr C) 65km/hr D) 2.8km/hr E) 4km/hr

Solution: Rate of the current=1/2(55-47)km/hr   =4km/hr   correct option is :4km/hr
Answer: E
A bag contains 5 white balls, 4 black balls, and 3 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red? Choices
A) 1/2	B) 1/4	C) 3/8	D) 5/16	E) 2/5

Solution: The probability for each ball to be drawn third is equal.   Then the probability a red ball is drawn third is 3/12 = 1/4.   The answer is 1/4.
Answer: B
a ladder is 100 m long and distance between bottom of the ladder and wall is 60m.what is the maximum size of the cube that can be placed between the wall and the ladder.
Choose the correct choice from the following:
A) 40 B) 45 C) 50 D) 55 E) 60

Solution: side of the cube is 40m   AB-WALL   BC- DISTANCE BETWEEN WALL AND LADDER FOOT=60m   AC-LADDER=100m   SO AB=SQ.RT (AC^2-BC^2)=80m   Area of triangle ABC=1/2*b*h=2400 sq. m   lasrgest possible square will be of area 1600sq. m   so side =40m   40NSWER:40
Answer: A
5 and 15 are the first two terms in a geometric sequence. What is the arithmetic difference between the 9th term and the 7th term?	Options.
A) 3*5^2  B) 5* 3^13 - 5 * 3^11  C) 40 * 3^7  D) 40 * 3^10  E) 3^12 - 3^10

Solution: Common ratio = 15/5= 
15/5 = 3
3   7th term= 5*3^7   9th term = 5*3^9   Difference = 5 * (3^9 - 3^7)   = 5 * 3^7 *(3^2 - 1)   = 5 * 3^7 * 8   = 40 * 3^7....   40 * 3^7
Answer: C
David works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 500 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 13,500. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.?	Pick
A) 6500
B) 3500
C) 2500
D) 4500
E) 2000

Solution: let the rate be x, then population of the bacteria after each hour can be given as 500,500x, 500(x^2), 500(x^3)   now population at 4pm =13,500   thus we have 500(x^3) = 13,500 =27   thus x=3   therefore population at 3pm = 500(9) = 4,500   Answer : 4500
Answer: D
Find the roots of quadratic equation: x2 + x - 42 = 0?	Pick one.
A) -6, 7	B) -8, 7	C) 14, -3	D) -7, 6	E) 3, -14

Solution: x2 + 7x - 6x + 42 = 0   x(x + 7) - 6(x + 7) = 0   (x + 7)(x - 6) = 0 => x = -7, 6   ANSWER:-7, 6
Answer: D
There is a certain relation between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the given pair has. Pick
A) Landslides  B) Strains  C) Resistances  D) Volcanoes  E) Volcanoe1

Solution: Explanation:   Seismography is an instrument to measure the intensity of an earthquake.   Similarly, taseometer is an instrument to measure strains.   Answer: Strains) Strains
Answer: B
Shreyas bought an article and sold it for 115% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.33750/-?	Pick:
A) Rs.24600
B) Rs.29348
C) Rs.24250/-
D) Rs.23200
E) None of these

Solution: Explanation:   115% of CP = Rs.33750   :. CP = Rs.33750x100/115 = Rs.29348.   Answer: Option Rs.29348
Answer: B
Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 18,000, what is Suresh's share?	Choose the correct choice from the following answers
A) s. 6750  B) s. 7750  C) s. 8750  D) s. 9372  E) s. 9750

Solution: Explanation:   Ratio of Suresh and Ramesh's share = 24,000 : 40,000 = 3 : 5   Suresh's share = Rs. (18000 x 3 / 8) = Rs. 6750   s. 6750NSWER: s. 6750
Answer: A
How many zeroes are there at the end of the number N, if N = 80! + 160! ?  Select the correct option:	A) 15	B) 19	C) 23	D) 27	E) 31

Solution: The number of zeroes at the end of 80! will be less than the number of zeroes at the end of 160!   Hence it is sufficient to calculate the number of zeroes at the end of 80!   The number of zeroes = [80/5] + [80/25] + [80/125] = 16 + 3 + 0= 
16 + 3 + 0 = 19
19   The answer is 19.
Answer: B
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?	Select:
A) 33 1/6%
B) 33 7/3%
C) 33 1/3%
D) 33 1/5%
E) 33 2/3%

Solution: 1/4 33 1/3%P = 210 SP = 21*(80/100) = 168   SP = 840*(120/100)= 
840*(120/100) = 1_008
1008   1008 - 168= 
1008 - 168 = 840
840   3/4 SP= 630   Gain = 210   630 --- 210   100 --- ? => 33 1/3%   Answer: 33 1/3%
Answer: C
If the digits 33 in the decimal 0.00033 repeat indefinitely, what is the value of (10^5-10^3)(0.00033)? Choose the correct choice from the following answers
A) 0.33 B) 33 C) 0.033 D) 0.0033 E) 3.3e-05

Solution: 99*0.33= 
99*0.33 = 32.67
32.67 approx. 33   Answer : 33
Answer: B
A class has 30 boys and 20 girls. If 20 percent of the boys and 25 percent of the girls got "A" grade, what percent of the total number of students got "A" grade. Choose the correct choice from the following choices.
A) 5.5%	B) 16.5%	C) 20.0%	D) 49.5%	E) 51.0%

Solution: 20% of 30 boys, hence  0.20 *30= 
 0.20 *30 = 6
6 boys got "A" grade.   25% of 20 girls, hence 0.25*20= 4 girls got "A" grade.   Thus (Girls + boys) /(total) = (4 + 6)/(30 + 20) = 10/50 = 20% "A" grade students   Answer: 20.0%.
Answer: C
In the parking lot there are 34 vehicles, 19 of them are buses, and the rest are cars. The color of 17 vehicles is red, of which 12 are buses. How many cars can be found in the parking lot which are not colored red?
Answers:
A) 9 B) 10 C) 11 D) 12 E) 13

Solution: The number of cars is 34-19= 
34-19 = 15
15.   The number of red cars is   17-12= 
  17-12 = 5
5.   The number of cars which are not red is  15-5= 
 15-5 = 10
10.   The answer is 10.
Answer: B
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?  Choose the correct choice from the following answers
A) 5  B) 3  C) 15  D) 17  E) Cannot be determined

Solution: Let the ten's digit be x and unit's digit be y.   Then, x + y = 15 and x - y = 3 or y - x = 3.   Solving x + y = 15 and x - y = 3, we get: x = 9, y = 6.   Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9.   So, the number is either 96 or 69.   Hence, the number cannot be determined.   Option is Cannot be determined)
Answer: E
Jon bought a TV on sale for 25% off. If the TV cost him $549.99, what is the original selling price of the TV?
Choose the correct choice from the following answers: A) $2199.96 B) $137.49 C) $733.32 D) $687.48 E) None of these.

Solution: Explanation:CP of Jon is 25% of the Original SP.:. Original SP = 549.99x100/75 = $733.32.Answer: Option $733.32.
Answer: C
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Choose the most appropriate option.
A) 40  B) 10  C) 20  D) 125  E) 18

Solution: Explanation:   125istance= speed * Time   125 = 90 * 5/18 * 5= 
90 * 5/18 * 5 = 125
125 m   Answer: 125
Answer: D
45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?	Choose the correct choice
A) 17 B) 97 C) 18 D) 55 E) 72

Solution: (45 * 8)/30   = (x * 6)/50   => x =100   100 – 45   = 55   Answer: 55
Answer: D
A rope of which a calf is tied is increased from 12 m to 25 m, how much additional grassy ground shall it graze?	Select:
A) 1400
B) 141.71
C) 1210
D) 1511.71
E) 1500

Solution: π (252 – 122) =1511.71   Answer: 1511.71
Answer: D