MU-NLPC/Calc-aqua_rat huggingface dataset:
A rectangle PRSU, is divided into two smaller rectangles PQTU, and QRST by the line TQ. PQ = 10 cm. QR = 5 cm and RS = 10 cm. Points A, B, F are within rectangle PQTU, and points C, D, E are within the rectangle QRST. The closest pair of points among the pairs (A, C), (A, D), (A, E), (F, C), (F, D), (F, E), (B, C), (B, D), (B, E) are 10 3 cm apart.
Which of the following statements is necessarily true?
Choose the correct choice from the following answers
A) The closest pair of points among the six given points cannot be (F, C)
B) Distance between A and B is greater than that between F and C.
C) The closest pair of points among the six given points is (C, D), (D, E), or (C, E).
D) none of the above
E) Cannot be determined

Solution: Explanation :   We have not been given the distances between any two points.   Answer : C)The closest pair of points among the six given points is (C, , (D, E), or (C, E).
Answer: D
If |x + 2| = 10, what is the sum of all the possible values of x?	Select the correct option
A) -16	B) -13	C) -4	D) -2	E) 12

Solution: There will be two cases   x+2 = 10 or x+2 = -10   => x = 8 or x= -12   sum of both the values will be -12 + 8 = -4   Answer: -4
Answer: C
How many Q ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?  Choose the correct option
A) 6C4
B) 6P4
C) 4^6
D) 6^4
E) 6!

Solution: Each marble has 4 options, so there are total of Q= 4*4*4*4*4*4=4^6 ways.   Answer: C.   The total number of ways of dividing n identical items among r persons, each one of whom, can receive 0,1,2 or more items is (n+r -1)4^6(r-1).
Answer: C
Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 26 years. What is Deepak present age  Choices:
A) 14  B) 15  C) 20  D) 22  E) 23

Solution: Explanation:   Present age is 4x and 3x,   => 4x + 6 = 26 => x = 5   So Deepak age is = 3(5) = 15   Answer: Option 15
Answer: B
A clock is set right at 1 p.m. If it gains one minute in an hour, then what is the true time when the clock indicates 6 p.m. in the same day?	Choose the correct answer.
A) 55 5⁄61 minutes past 5
B) 5 minutes past 6
C) 5 minutes to 6
D) 59 1⁄64 minutes past 5
E) None of these

Solution: Time interval indicated by incorrect clock   = 6 p.m – 1 p.m = 5hrs.   Time gained by incorrect clock in one hour   = + 1 min. = +1⁄60 hr.   Using the formula, True time interval /Time interval in incorrect clock   = 1 /1+hour gained in 1 hour by incorrect clock   ⇒ Truetimeinterval/5=1/1+1/60   ⇒ True time interval = 5×60/61=4 56/61   ∴ True time = 1 p.m. + 4 56/61 hrs.   = 5 p.m. + 56⁄61 hrs. = 5 p.m. + 56⁄61 × 60 min.   = 555⁄61 minutes past 5.   55 5⁄61 minutes past 5nswer 55 5⁄61 minutes past 5
Answer: A
what is the smallest integer that is multiple of 5,7,8 Select the correct option:	A) A)70	B) B)35	C) C)200	D) D)280	E) E)140

Solution: It is the lcm of 5, 7 and 8 which is 280.   The answer is 280.
Answer: D
25% of the total cost of a plot of area 280 sq.ft. is Rs.132370. What is the rate per sq.ft of the plot? Choices: A) Rs.2091 B) Rs.1891 C) Rs.1981 D) Rs.1991 E) None of these

Solution: Explanation:   25% = ¼   :. Cost of total area = Rs.132370x4   Rate per sq.ft = 132370x4/280 = Rs.1891/-   Answer: Option Rs.1891
Answer: B
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Ingrid bake?
Choose one
A) 0.125%
B) 1.25%
C) 31.7%
D) 125%
E) 0.152%

Solution: 9.18x+5.17x+2.05x = 16.4x 9.18 +5.17 +2.05= 
9.18 +5.17 +2.05 = 16.4
16.4x= 148 cookies   x= 148/16.4 = 9 (approx)   So, Ingrid baked 9*5.17 cookies or 47 cookies (approx)   % share = 47/148 = 31.7 approx   Hence, answer is 31.7%.
Answer: C
X and Y started a business investing Rs. 50,000 and Rs 40,000 respectively. In what ratio the profit earned after 2 years be divided between X and Y respectively?
Select the correct option.
A) 3:2 B) 9:2 C) 5 : 4 D) 1:4 E) 18:4

Solution: X:Y = 50000 : 40000 = 5 : 4   ANSWER:5 : 4
Answer: C
A man whose bowling average is 12.4, takes 8 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?  Choose the most appropriate option.
A) 173 B) 174 C) 175 D) 176 E) 177

Solution: 12.4*x+26=(8+x)12   solve equation x=175   ANSWER:175
Answer: C
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?  Choose the correct choice: A) 6 % B) 8 % C) 5 5/11% D) 11 % E) 5%

Solution: Explanation:   Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.   Selling Price (S.P.) = Rs. 5800.   Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.   Gain % =(300/5500	x 100)%= 5 5/11%   Answer:5 5/11%
Answer: C
People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a green shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line? Choose one.
A) 18	B) 22	C) 42	D) 41	E) 74

Solution: The correct answer should not take the form: 4x + 2. Hence, it is 41
Answer: D
If x/|y| = 1 which of the following must be true? Choose the correct choice from the following
A) x = -y B) x = y C) x = y^2 D) x^2 = y^2 E) x^3 = y^3

Solution: x/|y| = 1   x= 1 |y|   Squaring both sides   x^2= (1 |y|) ^2= y^2   x^2 = y^2 is the answer
Answer: D
Two sacks together contained 40 kilograms of sugar. If after 1 kilogram of sugar was taken from the first sack and poured into the second the weight of the sugar in the first sack became 60% the weight of the sugar in the second, what was the original difference in the weights of the sacks?	Choose the correct option: A) 4 B) 6 C) 8 D) 10 E) 12

Solution: Say the weight of the second sack after change is x kilograms, then the weight of the first sack after change would be 0.6x. Since the total weight of sugar in both sacks remained the same then x+0.6x=40, which gives x=25.   Now, if the weight of the second sack after change is 25 kilograms then initially it was 25−1=24 kilograms and the initial weight of the first sack was 40−24=16 kilograms, so the difference was 24−16=8 kilograms.   Answer: 8
Answer: C
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $60,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?  Options:
A) $10,000
B) $26,400
C) $12,000
D) $12,800
E) $13,200

Solution: 1 machine of type B will cost: 20% down payment of 60,000 = 12,000plusremaining sum (50,000-12,000=48,000) with 40% of finance charges 48,000*1.4=67,200 --> 12,000+67,200=79,200;   2 machine of type A will cost: 20% down payment of 2*20,000 = 8,000plusremaining sum (40,000-8,000=32,000) with 40% of finance charges 32,000*1.4=44,800 --> 8,000+44,800=52,800;   Difference = 79,200 - 52,800 = 26,400.   Answer: $26,400.
Answer: B
If |5x-30| = 100, then find the sum of the values of x? Choose the correct choice:
A) 1 B) -2 C) 12 D) -3 E) 4

Solution: |5x-30| = 100   5x-30 = 100 or 5x-30 = -100   5x = 130 or 5x = -70   x = 26 or x = -14   sum = 26-14= 
26-14 = 12
12   Answer is 12
Answer: C
A and B start walking towards each other at 5am at speed of 4kmph and 8kmph. They were initially 36km apart. At what time do they meet?	Select the correct option:
A) 8am	B) 6am	C) 7am	D) 10am	E) 8pm

Solution: Time of meeting = distance / relative speed = 36/8 + 4 = 36/12= 
36/12 = 3
3 hrs after 5am= 8am   8amnswer is 8am
Answer: A
a number divided by 44 leaves remainder 17 what is the remainder when same number divided by 8
Select:
A) 5  B) 7  C) 9  D) 10  E) 11

Solution: add 44+17= 
44+17 = 61
61   now 61 divided by 8 so we get 5 as reaminder   5NSWER:5
Answer: A
Health insurance Plan Q requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount? Select
A) $600 B) $1000 C) $3800 D) $5300 E) $6200

Solution: 0.5 * 600= 
0.5 * 600 = 300
300 where Q= $1000
Answer: B
A 300 meter long train crosses a plaƞorm in 39 seconds while it crosses a signal pole in 18 seconds.
What is the length of the plaƞorm.
Choose the correct answer
A) 310 meter  B) 335 meter  C) 345 meter  D) 350 meter  E) None of these

Solution: Explanation:   Speed = 350 meteristance/Ɵme = 300/18 = 50/3 m/sec   Let the length of the plaƞorm be x meters   then   350 meteristance=Speed   ∗   Timex+300=503   ∗   39=>3(x+300)=1950=>x=350 meters   Answer: 350 meter
Answer: D
It is being given that (2^32 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Choose one:
A) 16^2+1  B) 12  C) (2^96+1)  D) 24  E) 4^4+6

Solution: Explanation:   Let 2^32 = x. Then, (2^32 + 1) = (x + 1).   Let (x + 1) be completely divisible by the natural number N. Then,   (296 + 1) = [(2^32)3 + 1] = (x^3 + 1) = (x + 1)(x^2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.   (2^96+1)
Answer: C
Evaluate: 50 - 12÷4×2 =  Choose the correct choice
A) 44 B) 54 C) 16 D) 27 E) 30

Solution: 44ccording to order of operations, 12÷4×2 (division and multiplication) is done first from left to right   12÷4×2 = 3 × 2 = 6   Hence   50 - 12÷4×2 = 50 - 6= 
50 - 6 = 44
44   correct answer 44)44
Answer: A
I sold a book at a profit of 10%. Had I sold it for $120 more, 15% would have been gained. Find the cost price?	Pick one:
A) $2000 B) $2500 C) $2400 D) $3120 E) $1540

Solution: 115% of cost - 110% of cost = $120   5% of cost = $120   cost = 120*100/5= 
120*100/5 = 2_400
$2400   Answer is $2400
Answer: C
In how many ways can the letters of the word ABROAD be rearranged such that the vowels always appear together? Choose the correct choice:
A) 6!/2! B) 3!*3! C) 4!/2! D) 4! *(3!/2!) E) 3!*3!/2

Solution: In the word ABROAD , there are 3 vowels - 2 A's and O   Number of ways the letters of word ABACUS be rearranged such that the vowels always appear together   = (4! * 3! )/2!   We can consider the the 3 vowels as a single unit and there are 3 ways to arrange them . But since 2 elements of vowel group are identical we divide by 2! .   The entire vowel group is considered as a single group .   Answer 4! *(3!/2!)
Answer: D
If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 690, what is the least possible value of n?	Options
A) 10	B) 11	C) 12	D) 13	E) 23

Solution: 690 = 2 * 3 * 5 * 23   so the least value forNcan be 23.   23
Answer: E
Mohit sold an article for Rs. 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?  Choose the most appropriate option:  A) 15000  B) 15002  C) 15029  D) 15329  E) 15012

Solution: Let the CP be Rs. x.   Had he offered 10% discount, profit = 8%   Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 10/100(18000) = 18000 - 1800 = Rs. 16200   => 1.08x = 16200   => x = 15000   15000nswer: 15000
Answer: A
In how many ways letters of the word RSCUPERATE be arranged?  Choose one:
A) 357898 B) 654326 C) 865453 D) 545778 E) 302400

Solution: RESUPERATE has 10 letters, out of which E repeated 3 times, R repeated 2 times. Hence total ways = 10! / (3!*2!) = 302400 ways   302400
Answer: E
A cistern is filled by pipe A in 10 hours and the full cistern can be leaked out by an exhaust pipe B in 15 hours. If both the pipes are opened, in what time the cistern is full?  Pick:  A) 50hrs  B) 30hrs  C) 70hrs  D) 80hrs  E) 90hrs

Solution: time taken to full the cistern=(1/10-1/15)hrs   =1/30   =30hrs   ANSWER:30hrs
Answer: B
For integers x and y, if 91x = 8y, which of the following must be true?
I. y > x
II. y/7 is an integer
III. The cube root of x is an integer
Options: A) I only B) II only C) III only D) I and II E) II and III

Solution: Given 91*x=8*y   It can be equal when x = 8 or -8   and y = 91 or -91   So Statement (I) y < x if we take x = -8 and y =-91   but y > x if we take x = 8 and y = -91, so (I) is not true always   Statement (2) in any case   91/7 or -91/7 is an integer that is 13 or -13. So it is true   Statement (3) cube root of 8 or -8 is 2 and -2 respectively. So it is true always.   answer is II and III
Answer: E
The length of rectangle is thrice its breadth and its perimeter is 88 m, find the area of the rectangle? Options
A) 432  B) 376  C) 299  D) 276  E) 396

Solution: 2(3x + x) = 88   l = 36 b = 11   lb = 36 * 11= 
36 * 11 = 396
396   396
Answer: E
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?	Choose the correct answer.
A) 25 days	B) 24 days	C) 22 days	D) 27 days	E) 21 days

Solution: 24 days   24 days   24 days = 1/8 – 1/2 = 1/24 => 24 days
Answer: B
A man invests Rs. 8,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?
Pick one.
A) Rs. 1200
B) Rs. 1300
C) Rs. 1500
D) Rs. 4000
E) None of these

Solution: Explanation :   Interest on Rs.8000 at 5% per annum = ( 8000 × 5 × 1) / 100 = Rs. 400   Let his additional investment at 8% = x   Interest on Rs.x at 8% per annum = ( x × 8 × 1 ) / 100 = 2x/25.   To earn 6% per annum for the total, interest = (8000 + x) × 6 × 1/100.   => 400 + 2x/25 = (8000 + x) × 6 × 1/100.   => 40000 + 8x = (8000 + x) × 6.   => 40000 + 8x = 48000 + 6x.   => 2x=8000.   => x=4000.   Answer : Rs. 4000
Answer: D
For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 8 of whom are females, by how much does the index for the females exceed the index for the males in the group?
Choose the correct answer.
A) 0.05  B) 0.0625  C) 0.2  D) 0.25  E) 0.6

Solution: Index for females = (20-8)/20 = 3/5= 
3/5 = 3/5 = around 0.6
0.6   Index for males= (20-12/20 = 2/5= 
2/5 = 2/5 = around 0.4
0.4   Index for females exceeds males by   0.6 - 0.4= 
  0.6 - 0.4 = 0.2
0.2   Answer: 0.2
Answer: C
There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?
Choose the correct choice from the following choices:
A) Rs.2038
B) Rs.2073
C) Rs.2000
D) Rs.2027
E) Rs.2022

Solution: Let the price of the article, four years age be Rs. 100 in the 1st year, price of the article = 100 + 30 = Rs. 130. In the 2nd year, price = 130 - 20% of 130 = 130 - 26 = Rs. 104.   In the 3rd year, price = 104 + 10% of 104 = 104 + 10.4 = Rs. 114.40.   But present price of the article is Rs. 2288   for 114.4 ---> 100 ; 2288 ---> ?   Required price = (2288 * 100)/114.4 = 20 * 100 = Rs.2000.   Answer:Rs.2000
Answer: C
There are three foam generators in the factory, each of the first two can generate 10 liters of foam in one hour and the third can generate 18 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated?
Select the correct option:
A) 128  B) 132.  C) 146.  D) 154.  E) 166.

Solution: Let the foam generators capacity be -   A = 10 lit/hr   B = 10 lit/hr   C = 18 lit/hr   Total foam generation in 1 hour will be 38 lit ( 10 + 10 + 18 ) ; since in 1 and 1/2 hr they will generate   38 + 19= 
  38 + 19 = 57
> 57 litres...   Now one of the first generators stops working ( Say A stops working ) , so we have -   B= 10 lit/hr   C = 18 lit/hr   Total foam generation in 2 hour will be 56 litres {2 (10+18)}   The third generator stops working and now only B works for the remaining time 1 and 1/2 ( 5 - 1 and 1/2 - 2 )...   Foam generated by B will be  3/2 * 10= 
 3/2 * 10 = 15
> 15 litres   So, total foam generated will be 128 Litres ( 57 + 56 + 15 ) ; hence answer will be (128)
Answer: A
In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 30 percent, but profits were 16 percent of revenues. The profits in 1999 were what percent of the profits in 1998?	Answers.
A) 80% B) 105% C) 120% D) 112% E) 138%

Solution: 0,112R = x/100*0.1R   Answer 112%
Answer: D
30 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?  Select.
A) 14.4
B) 120
C) 50.4
D) 60
E) 90

Solution: 30% of Area of the floor = 4*9= 
4*9 = 36
36 square feet   i.e. 100% Area of Floor= (36/30)*100= 
(36/30)*100 = 120
120 square feet   Answer: Option 120
Answer: B
There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 4 other amateurs, what is the total number of chess games possible to be played in the tournament?
Choices:
A) 10  B) 20  C) 40  D) 60  E) 120

Solution: Method 1:   Take the first amateur. He plays a game with each of the other four i.e. 4 games.   Now take the second one. He has already played a game with the first one. He plays 3 games with the rest of the 3 amateurs i.e. 3 more games are played.   Now take the third amateur. He has already played a game each with the first and the second amateur. Now he plays 2 games with the remaining 2 amateurs so 2 more games are played.   Now go on to the fourth amateur. He has already played 3 games with the first 3 amateurs. He just needs to play a game with the last one i.e. 1 more game is played.   The last amateur has already played 4 games.   Total no of games = 4+3+2+1= 
4+3+2+1 = 10
10   Method 2:   Each person is one participant of 4 games. So there are in all 4*5= 
4*5 = 20
20 instances of one participant games. But each game has 2 participants so total number of games= 20/2= 
20/2 = 10
10   10nswer: 10.
Answer: A
If 28a+30b+31c=425.
then a+b+c=?.a,b,c are natural numbers
Choose the correct choice from the following choices:
A) 14	B) 8	C) 6	D) 9	E) 2

Solution: have a look on your calender   since,we all knw a year consist of 365 days   february is d only month which has 28 days   4 months in a year has 30 days   and,rest 7 months has 31 days..   so,following d given eq. we can write 28*1 + 30*6 + 31*7..   hence values of a,b and c are 1, 6 and 7 respectively..   a+b+c=14   14NSWER:14
Answer: A
A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?	Pick
A) 88hours
B) 38hours
C) 78hours
D) 28hours
E) 48hours

Solution: 2/7 - 1/x   = 1/4   x = 28   Answer:28hours
Answer: D
What is the place value of 3 in the numeral 53468?  Select:
A) 3000
B) 30
C) 3
D) 330
E) 300

Solution: place value of 3 = 3 * 1000= 
3 * 1000 = 3_000
3000   3000nswer is 3000
Answer: A
A child is playing with letter blocks (a playing cube in which an english letter is written). Before leaving the child to play on her own, her mon arranged 5 blocks into the word APPLE. How many different 6 letter words can the child make with these 5 blocks (Words need not have a meaning.She is just a child!) ?  Choose the correct option
A) 2! B) 3! C) 4! D) 5! E) 6!

Solution: There are 6 letter blocks to be arranged. Note that the letter P occurs twice. 2 'P' blocks can be arranged only in one way, since the two blocks are exactly the same(PP is same as PP). So we can consider PP as one letter and proceed to find the arrangement of 4 letters, A, PP, L, E. These four blocks can be arranged in 4! ways. So answer is C. 4!.
Answer: C
A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $30 to ship a certain package, which of the following was the weight of the package, in pounds? Answers:
A) 6	B) 8	C) 10	D) 12	E) 14

Solution: Let the weight of the package be X.   2X + 6= 30   X = 12   The answer is 12.
Answer: D
Williams works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 8 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?	Choose the correct choice from the following.
A) 3/7
B) 5/7
C) 6/7
D) 1/7
E) 4/7

Solution: First notice the number of months for which he worked - March to Sept i.e. 7 months   Avg of monthly totals in tips for months other than August = x   Tips in August = 8x   Total tips for all months = 6*x + 8x = 14x   Tips for August/Total tips for all months = 8x/14x = 4/7   Answer : 4/7
Answer: E
If four coins are tossed, the probability of getting two heads and two tails is  Choose the correct choice
A) 3/8
B) 6/11
C) 2/5
D) 4/5
E) 5/11

Solution: Since four coins are tossed, sample space = 24   Getting two heads and two tails can happen in six ways.   n(E) = six ways   p(E) = 6/24 = 3/8   3/8nswer : 3/8
Answer: A
If 0.75: x :: 5:9, then x is equal to: Pick:	A) 1.12	B) 1.16	C) 1.2	D) 1.35	E) None of these

Solution: Explanation:   (x * 5) = (0.75 *9)= 
(0.75 *9) = 6.75
6.75/5= 
6.75/5 = 1.35
1.35   Answer: 1.35
Answer: D
By investing in 16 2/3% stock at 64, one earns Rs. 1500. The investment made is:	Choose the most appropriate option:	A) Rs. 5640	B) Rs. 5760	C) Rs. 7500	D) Rs. 8600	E) Rs. 9600

Solution: To earn Rs.	50/3	, investment = Rs. 64.   To earn Rs. 1500, investment = Rs.64 x	3/50x 1500	= Rs. 5760.   ANSWER :Rs. 5760
Answer: B
A grocery purchased cereal at 40% of its list price and sold it for 90% of its list price. What is its percent gain? Choose the correct choice.
A) 30 B) 65 C) 75 D) 110 E) 125

Solution: Cost = 40% of List Price = .4*LSale = 90% of List Price = .9*LGain Ratio = (Sale - Cost) / Cost = (.9*L - .4*L) / .4*L = .5*L / .4*L = 1.25Gain Percent = 100 * Gain Ratio = 100 * 1.25= 
100 * 1.25 = 125
125%= Answer 125
Answer: E
A dishonest dealer professes to sell goods at the cost price but uses a weight of 720 grams per kg, what is his percent?	Choose the correct choice from the following options:	A) 15%	B) 25%	C) 38.9%	D) 45%	E) 35%

Solution: Explanation:   720 --- 280   100 --- ? => 38.9%   Answer: 38.9%
Answer: C
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choose the correct choice: A) 240 B) 288 C) 665 D) 199 E) 261

Solution: S = 600/40= 
600/40 = 15
15 mps   S= 3600/15= 
3600/15 = 240
240 sec= 4 min   240nswer: 240
Answer: A
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?  Pick:  A) 123  B) 480  C) 266  D) 1251  E) 121

Solution: SP = 800   Profit = 25%   CP = (SP)*[100/(100+P)]   = 800 * [100/125]   = 640   Loss 800 *  100/125= 
800 *  100/125 = 640
640   Loss= 25% = 25% of 640 = Rs.160   SP = CP - Loss = 640 - 160 = Rs.480Answer: 480
Answer: B
A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw	Choose one:  A) 64  B) 128  C) 132  D) 222  E) None of these

Solution: Explanation:   From 2 white balls, 3 black balls and 4 red balls, 3 balls are to be selected such that   at least one black ball should be there.   Hence we have 3 choices   64ll three are black   Two are black and one is non black   One is black and two are non black   Total number of ways   = 3C3 + (3C2 x 6C1) + (3C1 x 6C2) [because 6 are non black]   =1+[3×6]+[3×(6×5/2×1)]=1+18+45= 
1+18+45 = 64
64   Option 64
Answer: A