MU-NLPC/Calc-aqua_rat huggingface dataset:
The "factor count" of an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest?
Choose the correct choice from the following options:
A) 60  B) 61  C) 62  D) 63  E) 64

Solution: (A)	60 = 2^2*3*5 --> factor count = 3;   (B)	61 = prime --> factor count = 1;   (C)	62 = 2*31 --> factor count = 2;   (D)	63 = 3^2*7 --> factor count = 2;   (E)	64 = 2^6 --> factor count = 1.   60nswer: 60.
Answer: A
A bag contains 80 black balls and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Select.
A) 2/5	B) 5/7	C) 1/9	D) 1/4	E) 1/3

Solution: Total number of balls = 80+10= 
80+10 = 90
90   no. of white balls= 10   probability of drawing a white ball = 10/90 = 1/9   Answer is 1/9
Answer: C
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 45 years, was replaced by a new person. Find the age of the new person?	Options.
A) 18
B) 56
C) 12
D) 15
E) 14

Solution: Initial average age of the 10 persons be P.   Age of the new person Q.   Sum of the ages of the initial 10 persons = 10P   New average   = (P-3) 10(P-3)   = 10P - 45 + Q   => Q = 15   Answer:15
Answer: D
Find out the wrong term in the series 2, 5, 10, 50, 500, 5000	Pick one
A) 5000 B) 3877 C) 6777 D) 2892 E) 2881

Solution: Explanation:   Each term of the series is the product of the preceding two terms   So, 5000 is wrong and it must be replaced by  (500*50)= 
 (500*50) = 25_000
25000   5000nswer: 5000) 5000
Answer: A
A reduction of 10% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg? Choose the correct choice from the following answers
A) s.42  B) s.46  C) s.40  D) s.41  E) s.16

Solution: 800*(10/100)= 
800*(10/100) = 80
80 ---- 5   ? ---- 1=> Rs.16   Answer: s.16
Answer: E
How many positive integers less than 248 are multiple of 4 but NOT multiples of 6?	Choose the correct choice from the following.
A) 20
B) 41
C) 42
D) 53
E) 64

Solution: 244/4= 
244/4 = 61
61   Multiples of 4 which are a multiple of 6 will be of the form 2*2*3= 
2*2*3 = 12
12n where n>0   240/12= 
240/12 = 20
20   61-20= 
61-20 = 41
41   Answer: 41
Answer: B
How many two-digit numbers yield a remainder of 3 when divided by both 4 and 14?  Choices
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: Easier to start with numbers that are of the form 14p+3 ---> 17,31,45,59,73,87.   Out of these 3 (31,59,87) are also of the form 4q+3. Thus 3 is the answer. 3 is the correct answer.
Answer: D
If 25 toys cost Rs, 234, what do 35 toys cost?  Choose one:
A) 327.6	B) 564.6	C) 546.6	D) 654.6	E) None of them

Solution: Let the required cost be Rs. x. Then,   More toys, More cost	(Direct Proportion)   x=(35 X 234)/25 =327.60   327.6nswer is 327.6
Answer: A
A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction X of the selected films are in color? Choose the correct option:	A) 1/130	B) 1/5	C) 3/13	D) 10/13	E) 30/31

Solution: It's y/xpercentnot y/x.   If x=20 and y=10. Then:   20x=400 black-and-white films;   6y=60 color films.   y/x%=10/20= 
10/20 = 1/2 = around 0.5
0.5% of the black-and-white films, so 2 black-and-white films and all 60 color films, thus total of 62 films were selected.   Color films thus compose X= 60/62=30/31 of the selected films.   Answer: 30/31.
Answer: E
The average age of a husband, wife and their child 2 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?	Choose the correct choice:
A) 19.2 years
B) 28.5 years
C) 16.4 years
D) 15.6 years
E) 14.2 years

Solution: Sum of the present ages of husband, wife and child   = (23 * 2 + 5 * 2) = 57 years.   Required average   = 57/2= 
57/2 = 57/2 = around 28.5
28.5 years.   Answer:28.5 years
Answer: B
In how many different number of ways a Committee of 3 person of can be selected from 5 men and 3 women such that atleast 1 women is included in the committee?	Choose the correct choice
A) 38 B) 40 C) 42 D) 46 E) 49

Solution: 1W 2M 2W 1M 3W   = 3C1 × 5C2 + 3C2 × 5C1 + 3C3s   = 3 × (5 × 4)/2 + 3 × 5 + 1   = 30 + 15 + 1= 
30 + 15 + 1 = 46
46   Total 5M 3W   8C3= 56   5C3 = 10   Atleast one women = total - with out women   Atleast one women = 56 - 10= 
56 - 10 = 46
46   46)
Answer: D
Which of the following fractions is smaller than 17/50?	Choose one.
A) 2/5 B) 11/34 C) 43/99 D) 8/21 E) 9/20

Solution: Answer 11/34   17/50= 
17/50 = 17/50 = around 0.34
0.34   11/34=0.323529 which is 0.01647 smaller than 0.34
Answer: B
If x is a positive integer, and two sides of a certain triangle have lengths 30 and 45 respectively, which of the following could be the length of the third side of the triangle?
I. 45
II. 75
III. 145	Choose the correct choice:	A) I only	B) II only	C) I and II only	D) II and III only	E) I, II and III

Solution: Following the triangle inequality rule, which states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides:   Difference of other 2 sides < any side < sum of other two sides. Let the third side of triangle be AB.   So, 45 - 30 < AB < 45+30,   and 15 < AB < 75   Check if any of the answers are between 15 and 75.   I: 45 ; could be a possible value.   II: 75 ; could not be a possible value.   III: 145; could not be a possible value.   I onlynswer :I only
Answer: A
If 3x - 3x-1 = 18, then the value of xx is Pick.
A) 3 B) 8 C) 27 D) 36 E) NOne

Solution: Sol.   3x - 3x-1 = 18   ⇔ 3x-1 (3 - 1) = 18   ⇔ 3x-1 = 9   ⇔ 32   ⇔ x-1 = 2   ⇔ x = 3.   ∴ xx = 33 = 27.   Answer 27
Answer: C
On day one, a store sold 96 pens. On each of the next d days, the company sold 44 pens. If the average daily sales of pens over this time period (including day one) is 48 pens, what is the value of d? Choose the correct choice from the following answers:  A) 9  B) 10  C) 11  D) 12  E) 13

Solution: 96 + 44d = 48(d+1).   4d = 48.   d = 12.   The answer is 12.
Answer: D
4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8.
What is half of that number? Choices
A) 305  B) 315  C) 345  D) 325  E) 335

Solution: Let the number be x. then 4/15 of 5/7 of x-4/9 of 2/5 of x=84/21x-8/45x=8   (4/21-8/45)x=8(60-56)/315x=84/315x=8   x=(8*315)/4= 
(8*315)/4 = 630
6301/2x=315   Hence required number = 315   Answer is 315.
Answer: B
A man can row upstream at 25 kmph and downstream at 39 kmph, and then find the speed of the man in still water?	Choose the correct choice from the following:	A) 22	B) 37	C) 32	D) 27	E) 18

Solution: US = 25   DS = 39   M = (39 + 25)/2= 
(39 + 25)/2 = 32
32   Answer:32
Answer: C
Tom, Mary and Sue each wrote an essay for their English class. Together, the three of them wrote a total of 650 pages. Mary and Sue wrote a total of 450 pages together, and Mary and Tom wrote a total of 350 pages together. How many pages did Mary write by herself? Select the correct option.
A) 200  B) 250  C) 150  D) 300  E) 350

Solution: Tom + Mary + Sue = 650 pages   Mary + Sue = 450 pages << Plug this into the original formula to get Tom's total   Mary + Tom = 350 pages << Plug this into the original formula to get Sue's total   (Mary + Sue) + Tom = 650 pages >> 450 + Tom = 650 >> Subtract 450 from each side >> Tom = 200   (Tom + Mary) + Sue = 650 pages >> 350 + Sue = 650 >> Subtract 350 from each side >> Sue = 300   Now plug in Tom & Sue into the original formula.   200 + Mary + 300 = 650 <<Subtract 200 and 300 from each side   Mary = 150 pages   Answer: 150
Answer: C
In a rectangular coordinate system, points O (2,2), P (2,12), and Q (10,2) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Choose the correct answer
A) (5,6)
B) (8,7)
C) (5,8)
D) (6,6)
E) (6,7)

Solution: All points equidistant from O and Q lie on the line x = 6, so the fire station should lie on this line.   All points equidistant from O and P lie on the line y = 7, so the fire station should lie on this line.   These two intersect at (6,7) and that will be the point equidistant from all 3 points.   The answer is (6,7).
Answer: E
The perimeter of a triangle is 42 cm and the inradius of the triangle is 5.0 cm. What is the area of the triangle?	Answers:
A) 128 cm2	B) 36.0 cm2	C) 105 cm2	D) 25 cm2	E) 135 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 5.0 * 42/2= 
5.0 * 42/2 = 105
105 cm2   Answer: 105 cm2
Answer: C
During a clearance sale, a retailer discounted the original price of its TVs by 21% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?  Choices:
A) 40%	B) 45%	C) 55%	D) 60%	E) 63.5%

Solution: VERITAS PREPOFFICIAL SOLUTION:   D. With percent problems, the key is often to make sure that you take the percent of the correct value. In this case, the initial 25% off means that customers will pay 75% of the original price. Then for the second discount, keep in mind that the discount is taken off of the sale price, not of the original price. So that's 20% off of the 75% that they did pay, which can be made easier by looking at what the customer does pay: 80% of the 75% sale price. Using fractions, that means they pay: 4/5*(3/4) of the original price, which nets to 3/5 of the original price, or 63.5%.   63.5%
Answer: E
How many three digit numbers are there which are equal to 3434 times the sum of their digits?	Choose the most appropriate option:  A) 4  B) 5  C) 6  D) 7  E) 8

Solution: If the product is written abcabc in decimal, then we have   100a+10b+c=34(a+b+c)   100a+10b+c=34(a+b+c)   (a,b,c<10,a≠0a,b,c<10,a≠0). Thus   66a−33c=24b   66a−33c=24b   and, since 1111 divides the left-hand side, 11|b11|b. Since b<10b<10, b=0b=0. We're left with two requirements: 2a=c2a=c and 34|a0c1034|a0c10. Testing the possibilities afforded by 2a=c2a=c, we see 102102 is divisible by 3434, so all its multiples are answers also, and the answer is 4.   4nswer is 4
Answer: A
The perimeter of a square is 36 m. Find the area of the square. Choose the correct option:
A) 81 mÂ².
B) 84 mÂ².
C) 86 mÂ².
D) 169 mÂ².
E) 273 mÂ².

Solution: Perimeter of square = 36 m   But perimeter of square = 4 Ã— side   Therefore, 4 Ã— side = 36 m   Therefore, side= 36/4= 
36/4 = 9
9m   Now, the area of the square= (side Ã— side)   Therefore, area of the square = 9 Ã— 9 mÂ² = 81 mÂ².   81 mÂ².NSWER : OPTION 81 mÂ².
Answer: A
Of 30 applicants for a j ob, 14 had at least 4 years of exper, 18 had degrees, and 3 had less than 4 years exper and did not have a degree, how many applicants had at least 4 years exper and a degree?  Answers.
A) a)14  B) b)13  C) c)9  D) d)7  E) e)5

Solution: Answer is E. Here is how:   The quickest way is to setup a matrix and work through the given values in the question.   For all such problems, set up a matrix with number of columns and rows corresponding to the divisions mentioned in the question stem.   Degrees and e)5xperience   > 4 yrs e)5xp< 4 yrs e)5xpTotal   Degree5Required Value1318Given   No Degree9312   Total14Given1630Given answer is e)5
Answer: E
If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction?	Choose the correct choice from the following
A) 1/12
B) 1/18
C) 1/19
D) 1/16
E) 1/11

Solution: X * (120/100)   ---------------- = 2/15   Y * (75/100)   X/Y = 1/12   1/12nswer: 1/12
Answer: A
The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m, find out the area of the field.
Choose the correct choice from the following answers:
A) 37500	B) 38000	C) 38500	D) 39000	E) 39500

Solution: Given that breadth of the rectangular field is 60% of its length.   ⇒b=60l100=3l5   perimeter of the field =800 m   ⇒2(l+b)=800⇒2(l+3l5)=800⇒l+3l5=400⇒8l5=400⇒l5=50⇒l=5×50=250 m   b=3l5=3×2505=3×50=150 m   37500rea =lb=250×150=37500 m2   37500nswer is 37500.
Answer: A
Last year, for every 100 million vehicles that traveled on a certain highway, 75 vehicles were involved in accidents. If 6 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000) Select the correct option.
A) 2500	B) 4500	C) 3500	D) 4000	E) 1300

Solution: To solve we will set up a proportion. We know that “100 million vehicles is to 75 accidents as 6 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 6,000 million rather than 6 billion. Creating a proportion we have:   100/75 = 6,000/x   Cross multiplying gives us:   100x = 6,000 * 75   x = 60 * 75= 
60 * 75 = 4_500
4500   Answer : 4500
Answer: B
Find the area, diameter = 9 m. Choose the correct option:  A) 63.00 square meter  B) 63.64 square meter  C) 63.08 square meter  D) 63.24 square meter  E) 63.43 square meter

Solution: Diameter = 9 meter.   Radius = diameter/2.   = 9/2.= 
9/2. = 4.5
4.5 meter.   Area of a circle= Ï€r2.   Here, pi (Ï€) = 3.14 meter, radius (r) = 4.5.   Area of a circle = 3.14 Ã— 4.5 Ã— 4.5.   = 3.14 Ã— 20.25.   = 63.64 m2. ANSWER : 63.64 square meter
Answer: B
Find the next number in the sequence
1, 2, 6, 21, 88, __? Pick one.
A) 134 B) 234 C) 445 D) 345 E) 678

Solution: 445   445   2=(1+1)1   6=(2+1)2   21=(6+1)3   88=(21+1)4   So 445=(88+1)5
Answer: C
Two trains A and B start simultaneously in the opposite direction from two points A and B arrive at their destinations 9 and 4 hours respectively after their meeting each other. At what rate dose the second train B travels if the first train travels at 80 km per hour. Option  Pick
A) 60 km/h
B) 100 km/h
C) 120 km/h
D) 80 km/h
E) 90 km/h

Solution: If two trains (or bodies) start at the same time from points A and B towards each other and after   crossing they take a and b sec in reaching B and A respectively, then   (A's speed) : (B’s speed) = √b:√a.   hence the answer 120 km/hr   ANSWER:120 km/h
Answer: C
Statement : All the organised persons find time for rest. Sunita, in-spite of her busy schedule, finds time for rest.
Conclusions :
I. Sunita is an organised person.
II. Sunita is an industrious person.	Answers:
A) I only	B) II only	C) I and II only	D) I and III only	E) II and III only

Solution: Sunita has a busy schedule. This means that she is industrious. But still she finds the time for rest. This means that she is an organised person.   So both conclusions follow.   Answer I and III only)
Answer: D
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?	Choose the correct choice from the following answers:
A) 707  B) 704  C) 709  D) 705  E) 701

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.   = 500 * 2 * 22/7 * 22.4= 
500 * 2 * 22/7 * 22.4 = 70_400
70400 cm= 704 m   Answer:704
Answer: B
Line Q has the equation 5y – 3x = 60. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.)  Pick:
A) 35 B) 40 C) 45 D) 50 E) 55

Solution: 5y - 3x = 60 and so y = 3x/5 + 12   When x = 0, then y = 12.   When y = 0, then x = -20   The slope is 3/5, so the slope of line S is -5/3.   Through the point (-20, 0), 0 = -5(-20)/3 + c   The y-intercept is c = -100/3 < -33.   Thus the perpendicular line S can have y-intercepts from -33 up to 11.   The number of possible lines is   33 + 11 + 1= 
  33 + 11 + 1 = 45
45   The answer is 45.
Answer: C
In how many ways a committee consisting of 3 men and 2 women can be formed from 4 men and 7 women?  Select:
A) A)84
B) B)15
C) C)20
D) D)18
E) E)21

Solution: Required number of ways = 4C3*7C2 = 4*21= 
4*21 = 84
84   84nswer is 84
Answer: A
If 5x = 6y and xy ≠ 0, what is the ratio of 1/4*x to 1/6*y ?	Choose the correct choice from the following:
A) 25/6
B) 36/25
C) 9/5
D) 5/6
E) 25/36

Solution: 5x = 6y => x/y = 6/5   1/4*x to 1/6*y = x/y * 3/2 = (6/5)*(3/2)=9/5   Ans: 9/5
Answer: C
15 girls can complete a rangoli in 12 days, and 10 boys can complete the same work in 15 days. To complete the work earlier 10 boys and 15 girls are employed, in how many days will this work get completed?
Pick: A) 6 B) 7 C) 6.5 D) 6 2/3 E) 6 1/4

Solution: Work done by 15 girls per day =1/12   Work done by 10 boys per day = 1/15   Work done by 15 girls and 10 boys per day=1/12+1/15=3/20=6 2/3   10 boys and 15 girls will complete the work in =6 2/3 days   6 2/3
Answer: D
Health insurance Plan P requires the insured person to pay $600 but then the insurance pays 80% of the cost over $600. Plan Q requires the insured to pay the initial $300, but then pays 60% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?	Choose the correct choice from the following answers.
A) $1200	B) $1500	C) $1800	D) $2100	E) $2400

Solution: 0.8(x-600)=0.6(x-300)   0.2x=480-180   x=1500   The answer is $1500.
Answer: B
The third proportional to 2 and 4 is?
Choose one:
A) 8 B) 7 C) 4 D) 5 E) 3

Solution: (4*4)/2= 
(4*4)/2 = 8
8   8nswer:8
Answer: A
What is the perimeter of a square with area 9p^2/16 ?  Pick one:
A) 3p/4
B) 3p^2/4
C) 3p
D) 3p^2
E) 4p/3

Solution: Area of square, (side)^2 = (3p/4)^2   Therefore side of the square = 3p/4   Perimeter of square = 4*side = 4* (3p/4) = 3p   Answer is 3p.4* (3 /4)= 
4* (3 /4) = 3
3p   Answer is 3p.
Answer: C
A and B invests Rs.3000 and Rs.6000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? Choose the correct option.
A) 9:6
B) 3:8
C) 3:1
D) 9:9
E) 3:4

Solution: (3*6 + 6*6): (6*12)   18:24 => 3:4.Answer:3:4
Answer: E
Calculate the share of profit of 15000 received by Edgar who is the working partner in a business. Edgar invested 22000 in the business while his partner, Eli invested 34000.A is a working partner and B is a sleeping partner in a business. Edgar receives 12% for managing the business, and the rest is divided in proportion to their capitals.  Choices.
A) 1985.7	B) 5985.7	C) 6785.7	D) 6985.7	E) 5985.7

Solution: The amount Edgar gets for managing   = 12% of Rs. 15000 = 1800   Remaining profit = 15000 â€“ 1800 = 13200   This is to be divided in the ratio 22000:34000=22: 34=11:17   Share of Edgar = 11/28 of 13200 = 5185.7   â‡’ Total share of Edgar = 1800 + 5185.7 = 6985.7.   Answer 6985.7
Answer: D
The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :	Pick:  A) 12003  B) 12000  C) 12002  D) 12289  E) 12019

Solution: Explanation:   = Rs.12000   Answer: 12000) 12000
Answer: B
A train speeds past a pole in 15 sec and a platform 130 m long in 25 sec, its length is?
Answers:  A) 195  B) 150  C) 160  D) 170  E) 180

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 15 => y = x/15   (x + 130)/25 = x/15 => x = 195 m.   195nswer: Option 195
Answer: A
At 30 minutes past 7 o'clock, what is the angle between the two hands?	Choose the correct option:
A) 15
B) 30
C) 45
D) 60
E) 75

Solution: The hour hand moves 360 degrees in 12 hours.   The hour hand moves 30 degrees in 1 hour and 15 degrees in 30 minutes.   The minute hand moves 360 degrees in 60 minutes and 180 degrees in 30 minutes.   At 30 minutes past 7, the hour hand has moved 225 degrees.   At 30 minutes past 7, the hour hand has moved 180 degrees.   The angle between the two hands is 45 degrees.   The answer is 45.
Answer: C
Cole drove from home to work at an average speed of 70 kmh. He then returned home at an average speed of 105 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?  Choose the correct choice from the following options:
A) 66  B) 70  C) 72  D) 75  E) 78

Solution: Let the distance one way be x   Time from home to work = x/70   Time from work to home = x/105   Total time = 2 hrs   (x/70) + (x/105)= 2   Solving for x, we get x = 84   Time from home to work in minutes= (84)*60/70= 
(84)*60/70 = 72
72 minutes   Ans= 72
Answer: C
A train 200 m long running at 54 kmph crosses a platform in 25 sec. What is the length of the platform?
Select the correct option.
A) 175	B) 266	C) 350	D) 277	E) 232

Solution: Length of the platform= 54 * 5/18 * 25= 
54 * 5/18 * 25 = 375
375 – 200= 175   175nswer:175
Answer: A
If the sides of a square are multiplied by sqrt(2), the area of the original square is how many times as large as the area of the resultant square? Select:  A) 2%  B) 4%  C) 50%  D) 100%  E) 200%

Solution: Let x be the original length of one side.   Then the original area is x^2.   The new square has sides of length sqrt(2)*x, so the area is 2x^2.   The area of the original square is 1/2 = 50% times the area of the new square.   The answer is 50%.
Answer: C
if a@b = a * b^(1/2) then 1@9 = ?
self made	Select.
A) 2 B) 6 C) 3 D) 8 E) 4

Solution: a@b = a * b^(1/2)   1@9 = 1*9^(1/2) = 1*3= 
1*3 = 3
3   3orrect Option: 3
Answer: C
The symphony sells two kinds of tickets: orchestra, for $30, and upper tiers, for $12. On a certain night, the symphony sells 90 tickets and gets $1620 in revenue from the sales. How many orchestra tickets did they sell?	Choose one.
A) 25  B) 30  C) 35  D) 40  E) 45

Solution: Let x be the number of orchestra tickets.   Then 90-x is the number of upper tier tickets.   30x + 12(90-x) = 1620   18x = 1620-1080   x = 30   The answer is 30.
Answer: B
Mohit sold an article for $18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?  Pick.
A) 16000
B) 25000
C) 15000
D) 18000
E) 17000

Solution: C   15000   Let the CP be $x.   Had he offered 10% discount, profit = 8%   Profit = 8/100 x and hence his SP = x + 8/100 x = $1.08x = 18000 - 10/100(18000) = 18000 - 1800= 
18000 - 1800 = 16_200
$16200=> 1.08x = 16200   => x = 15000
Answer: C
If a certain number when divided by the numbers 5,3,2 one after other successively, leaves a remainder 0,2,1 Then what will be the remainders if it is divided by the numbers 2,3,5
Choose the most appropriate option:
A) 1,2,0  B) 1,2,1  C) 1,2,2  D) 1,2,3  E) 1,2,4

Solution: The Number is 35 ,When divided by 5,3,2 leaves remainder 0,2,1 respectively.   So if 35 is divided by 2,3,5 leaves remainder 1,2,0 respectively.   1,2,0NSWER:1,2,0
Answer: A
A can finish a work in 48days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?  Select: A) 10days B) 12days C) 6days D) 20days E) 8days

Solution: B+C 1day work = 1/9 + 1/12 +  1= 
+  1 = 1
1/9 + 1/12= 7/36   work done by B and C in 3days = 7/36 * 3 = 7/12   Remaining work = 1 - 7/12 = 5/12   1/48 work is done by A in 1day   5/12 work is done by A in  48*5/12= 
 48*5/12 = 20
20days   Answer is 20days
Answer: D
Two trains 141 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?	Pick one.
A) 7.16 B) 7.59 C) 7.12 D) 7.15 E) 7.11

Solution: T = (141 + 165)/ (80 + 65) * 18/5   T = 7.59   Answer: 7.59
Answer: B
Diane find 4 cans of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?
Choose the correct choice
A) 5
B) 7 and a half
C) 10
D) 12 and a half
E) 20

Solution: She will need 8 cans to paint the rest of this room and 12 for the next room for a total of 20 cans.   20
Answer: E