MU-NLPC/Calc-aqua_rat huggingface dataset:
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?  Choose one:
A) 30%  B) 70%  C) 100%  D) 120%  E) None

Solution: Solution   Let C.P. = Rs. 100.	Then, Profit = Rs.320,   S.P. = 420.   Let C.P. = Rs. 125% of Rs. 100	= Rs.125.   New S.P. = Rs.420.   Profit = Rs. (420 - 125)	= Rs.295.   ∴ Required percentage	= (295 / 420 x 100)%   = 1475 / 21%   = 70%.   Answer 70%
Answer: B
A batsman makes a score of 92 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning.	Choose one:
A) 36  B) 39  C) 42  D) 44  E) None of the above

Solution: Let the average after 17th inning = x.   Then, average after 16th inning = (x – 3).   ∴ 16(x – 3) + 92 = 17x or x = (92 – 48) = 44.   Answer 44
Answer: D
Using all the letters of the word "PROBLEMS", how many words can be formed, which begin with P and end with S?	Select the correct option
A) 680  B) 560  C) 720  D) 120  E) 650

Solution: There are eight letters in the given word.   Consider 8 blanks ....   The first blank and last blank must be filled with P and S all the remaining six blanks can be filled with the remaining 6 letters in 6! ways.   The number of words = 6! = 720.   ANSWER:720
Answer: C
A bag contains 2 yellow, 5 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? Choose the most appropriate option
A) 7/12  B) 5/12  C) 3/7  D) 2/7  E) 5/7

Solution: Total number of balls = 2 + 5 + 2= 
2 + 5 + 2 = 9
9   Let S be the sample space.   n(S)= Total number of ways of drawing 2 balls out of 9 = 9C2   Let E = Event of drawing 2 balls , none of them is blue.   n(E) = Number of ways of drawing 2 balls , none of them is blue   = Number of ways of drawing 2 balls from the total 7 (=9-2) balls = 7C2   (∵ There are two blue balls in the total 9 balls. Total number of non-blue balls = 9 - 2= 
9 - 2 = 7
7)   P(E)= n(E)/n(S)   =7C2 / 9C2   =7/12   7/12ns- 7/12
Answer: A
896.7 – 573.07 – 95.007 = ? Pick one
A) 228.623  B) 224.777  C) 233.523  D) 414.637  E) None of these

Solution: Solution   Given expression = 896.7 - (573.07 + 95.007) = 896.7 - 668.077 = 228.623. 228.623nswer 228.623
Answer: A
Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 10 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 20 miles ahead of the black car, how many hours will it take the black car to overtake the red car?	Choose the correct option.
A) 0.1 B) 0.5 C) 1 D) 1.2 E) 2

Solution: Option 0.5   20+10t=50t   t=0.5
Answer: B
20 workers can finish a work in 30 days. After how many days should 5 workers leave the job so the work is completed in 35 days?  Select:
A) 7
B) 6
C) 15
D) 4
E) 3

Solution: Work done by 15 workers in 35 days = 15*35= 
15*35 = 525
525 men days.   Now, work remaining= 600–525=75 men days and we have 5 workers .   So 5 workers will work for   75/5= 
  75/5 = 15
15 days.   ANSWER:15
Answer: C
A triangle has a perimeter 21. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?  Pick one:  A) 4  B) 5  C) 6  D) 7  E) 8

Solution: The SHORTER sides have integral lengths equal to x and x + 1   Let the longest side be 'a'   So, a + x + (x +1) = 21   a + 2x = 20.......eqn (1)   We know that the sum of the lengths of the shorter sides has to be more than the length of the longer one. i.e 2x+1> a   a =8   8
Answer: E
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?  Pick one:  A) 24  B) 89  C) 67  D) 56  E) 45

Solution: Let the present ages of Sameer and Anand be 5x years and 4x years respectively.   Then,	(5x + 3/4x + 3)=11/9   9(5x + 3) = 11(4x + 3)   45x + 27 = 44x + 33   45x - 44x = 33 - 27= 
33 - 27 = 6
6.   Anand's present age= 4x = 24 years.   24nswer:24
Answer: A
A man has Rs. 80 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?  Choose the correct choice from the following choices:
A) 7
B) 2
C) 13
D) 15
E) 10

Solution: Let number of notes of each denomination be x.   Then, x + 5x + 10x = 80 16x = 80 x = 5.   Hence, total number of notes = 3x = 15.   Answer:15
Answer: D
Find the simple interest on Rs.235 for 3 months at 8 paisa per month?
Pick.
A) s.57.8  B) s.56.4  C) s.29.3  D) s.33  E) s.74

Solution: Explanation:   I = (235*3*8)/100= 
(235*3*8)/100 = 282/5 = around 56.4
56.4   Answer: Option s.56.4
Answer: B
If 15% of 30% of 50% of a number is 117, then what is the number?  Pick one:
A) 5200
B) 3050
C) 4400
D) 4500
E) None of these

Solution: Let the number be a   Given, 15/100 * 30/100 * 50/100 * a = 117   => 3/20 * 3/10 * 1/2 * a = 117   => a = 10 * 20 * 10 * 2 = 5200.   5200NSWER:5200
Answer: A
Bradley owns x video game cartridges. If Bradley’s total is one-third the total owned by James and four times the total owned by Charles, how many video game cartridges do the three of them own altogether, in terms of x?
Choose the correct option
A) (16/3)x
B) (17/14)x
C) (13/4)x
D) (19/12)x
E) (17/4)x

Solution: x = Bradley’s total   3x = James’s total   (1/4)x = Charles’s total   Add each total   x + 3x+ (1/4)x = 4x + (1/4)x = = (17/4)x   Answer : (17/4)x
Answer: E
If 9 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
Answers.
A) 10•9•8•7•6•5•4•3•2•1  B) 10•10  C) 10•9  D) 45  E) 36

Solution: We got #9 people who shake each other's hands once ==> a pair of 2   9!/7!2! = 9*8/ 2*1= 
9*8/ 2*1 = 36
36.   Hence answer 36.
Answer: E
A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 50 revolutions. How many revolutions does the second wheel make in covering d feet?	Choose the correct answer:
A) 50xy  B) 50y - x  C) 50x - y  D) 50y/x  E) 50x/y

Solution: First Wheel with diameter x inches ----> So the circumference = x*pi --------- (1)   Second Wheel with diameter y inches ----> So the circumference = y*pi --------- (2)   Revolutions = distance/circumference   So, from equation (1)   50 = d/(x*pi)   d = 50 * x * pi ---------- (3)   From equation (2)   Revolutions = d/(y*pi) = (50 * x * pi) / (y*pi) = 50x/y   Answer (50x/y)
Answer: E
How many 4-letter word with or without meaning can be formed out
of the letters of the word 'LOGARITHMS' if repetition of letters is
not allowed  Choose the correct choice from the following answers.
A) 2000 B) 1000 C) 5040 D) 5000 E) 500

Solution: 'LOGARITHMS' contains 10 different letters   Required number of words   = Number of arrangements of 100 letters taking   4 at a time   = 10P4   = 10 * 9 * 8 * 7= 
10 * 9 * 8 * 7 = 5_040
5040   ANSWER 5040
Answer: C
Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 9% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?  Choose the correct choice from the following: A) 9:3 B) 9:5 C) 5:8 D) 5:4 E) 9:2

Solution: Let the amount lent at 7% be Rs. x   Amount lent at 9% is Rs. (6000 - x)   Total interest for one year on the two sums lent   = 7/100 x + 9/100 (6000 - x)   = 540 - 2x/100   => 540 - 1/50 x = 450   => x = 4500   9:3mount lent at 10% = 1500   Required ratio = 4500 : 1500 = 9:3   9:3nswer:9:3
Answer: A
200 is what percent of 50?
.  Select the correct option:	A) 0.2%	B) 2%	C) 5%	D) 400%	E) 500%

Solution: 200= x*50/100   x = 400%   Ans; 400%
Answer: D
If 50 honey bees make 50 grams of honey in 50 days, then 1 honey bee will make 1 gram of honey in how many days?	Choose the correct choice from the following choices.
A) 1	B) 3.5	C) 20	D) 49	E) 50

Solution: Explanation :   Let the required number days be x.   Less honey bees, More days (Indirect Proportion)   Less honey, Less days (Direct Proportion)   Honey bees 1 : 50 :: 50 : x   Honey 50 : 1   => 1 x 50 x x = 50 x 1 x 50   => x = 50.   Answer : 50
Answer: E
A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the smallest original number is	Options:
A) 6	B) 12	C) 22	D) 52	E) None

Solution: Sol.   Let the required number be x.   Then, (11x + 11) = 11(x + 1) is divisible by 13. So, x = 12.   Answer 12
Answer: B
The average of first five multiples of 5 is:  Choose the correct choice: A) 9 B) 15 C) 17 D) 8 E) 10

Solution: Explanation :   (5(1+2+3+4+5)/5   = 5x15/5   = 15   Answer : 15
Answer: B
The sum of the first 92 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?  Choices.
A) 5,050
B) 7,500
C) 10,500
D) 11,700
E) 19,600

Solution: 101+103+.......199   If we remove 100 from each of these it will be sum of 1st 100 odd numbers.   so 101+103+.......199 = 92 * 100 + (1+3+5+7+......)   sum of 1st 100 natural numbers = (100 * 101) / 2= 
(100 * 101) / 2 = 5_050
5050   Sum of 1st 92 positive even integers= 2550   sum of 1st 100 odd numbers = 5050 - 2550= 
5050 - 2550 = 2_500
2500   so 101+103+.......199= 92 * 100 + (1+3+5+7+......) = 9200 + 2500= 
9200 + 2500 = 11_700
11700   11,700 is the answer.
Answer: D
The third proportional to 1 and 3 is?  Select
A) 9  B) 10  C) 11  D) 12  E) 13

Solution: (3*3)/1= 
(3*3)/1 = 9
9   9NSWER:9
Answer: A
Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $9,500, what is the bonds face value?
Choose the most appropriate option
A) $6,000 B) $6,750 C) $7,425 D) $7,600 E) $9,375

Solution: Interest = 0.05*face value = 0.04*9,500 --> face value = 0.04*9,500/0.05 = 7,600.   Answer: $7,600.
Answer: D
One computer can upload 100 megabytes worth of data in 4 seconds. Two computers, including this one, working together, can upload 1300 megabytes worth of data in 20 seconds. How long would it take for the second computer, working on its own, to upload 100 megabytes of data?  Choose one:	A) 6	B) 2.5	C) 9	D) 11	E) 13

Solution: Since the first computer can upload 100 megabytes worth of data in 4 seconds then in   4*5= 
  4*5 = 20
20 seconds it can upload   5*100= 
  5*100 = 500
500 megabytes worth of data, hence the second computer in 20 seconds uploads   1300-500= 
  1300-500 = 800
800 megabytes worth of data. The second computer can upload 100 megabytes of data in 2.5 seconds.   Answer: 2.5.
Answer: B
Suresh age after 15 years will be 5 times his age 5 years back, What is the present age of Suresh Choose the correct choice from the following options:	A) 15	B) 10	C) 14	D) 8	E) 7

Solution: x+15 = 5(x-5)   <=> 4x = 40 => x = 10   ANSWER 10
Answer: B
The difference between the length and breadth of a rectangle is 60 m. If its perimeter is 300 m, then its area is:	Choose one:	A) 1520 m2	B) 2420 m2	C) 4258 m2	D) 4725 m2	E) None

Solution: EXPLANATION   We have: (l â€“ b) = 60 and 2(l + b) = 300 or (l + b) = 150.   Solving the two equations, we get: l = 105 and b = 45.   Area = (l x b) = (105x 45) m2 = 4725 m2.   Answer 4725 m2
Answer: D
Which of the following are roots of an equation (x^-2)+(4x^-1)-5=0 Choose the most appropriate option:	A) 1/5 and -1	B) -1/5 and 1	C) 1/5 and 1	D) -1/5 and -1	E) -5/2 and -1

Solution: Given: (x^-2) + (4x^-1) - 5 = 0   Rewrite as: 1/(x²) + 4/x - 5 = 0   Remove fractions by multiplying both sides by x² to get: 1 + 4x - 5x² = 0   Rearrange to get: 5x² - 4x - 1 1 + 4  - 5= 
1 + 4  - 5 = 0
0   Rearrange to get: 5x² - 4x - 1= 0   Factor to get: (5x + 1)(x - 1) = 0   So, EITHER 5x + 1 OR x - 1 = 0   If 5x + 1 = 0, then x = -1/5   If x - 1 = 0, then x = 1   So, the roots (solutions) are -1/5 and 1   The answer is -1/5 and 1.
Answer: B
A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 11% profit. He gains 10 % on the whole. Find how much is sold at 7% profit?
Answers
A) 70 lbs B) 40 lbs C) 25 lbs D) 50 lbs E) 60 lbs

Solution: These types ofweighted averagequestions can be solved in a variety of ways, so you can choose whichever method you find easiest/fastest. Here's another variation on the Weighted Average Formula:   A = # of pounds sold at 7% profit   B = # of pounds sold at 11% profit   A+B = 100 pounds   (.07A + .11B)/(A+B) = .10   .07A + .11B = .1A + .1B   .01B = .03A   1B = 3A   1/3 = A/B   So, for every 1 pounds of A, we have 3 pounds of B.   With 100 pounds total, we have 25 pounds of A and 75 pounds of B.   Option 25 lbs
Answer: C
When x is divided by y, the quotient is z with remainder v. Which of the following is equal to v? Choose the most appropriate option: A) yz – x B) y/x−z C) x – y – z D) x – yz E) zx – y

Solution: (x/y)=z(+v)   (18/8)=2(+2)   x-yz   which is   18-(8*2)= 
  18-(8*2) = 2
2   Answer is x – yz
Answer: D
84/12/0.8 = ?
Choose the most appropriate option
A) 8.17
B) 7.14
C) 6.23
D) 4.35
E) 8.75

Solution: 8.75   8.75   ? = 84/(12*0.8)= 
84/(12*0.8) = 8.75
8.75
Answer: E
A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many Y acres were used for corn?  Options:
A) 188
B) 258
C) 376
D) 470
E) 517

Solution: consider 5x acres of land used for bean   consider 2x acres of land used for wheat   consider 4x acres of land used for corn   Total given is 1034 acres   11x =1034   x = 94   land used for corn Y= 4 * 94= 
4 * 94 = 376
376   correct option - 376
Answer: C
In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = f is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-f, -k), then what are the coordinates of the point P?
Choose the correct choice from the following:
A) (-5f, -5k)
B) (-3f, -3k)
C) (2f, 2k)
D) (3f, 3k)
E) (5f, 5k)

Solution: firstly the Question tells us that RQ and PQ are perpendicular at Q..   Now the coordinates of the point R are (-f, -k), so R is at a distance of 2f from line x and at dist of 2k from line Y..   as line X bisect RQ .... length of RQ =4f and coord (3f,-k)..   as line Y bisect PQ .... length of PQ =4k and coord (3f,3k).ans (3f, 3k)
Answer: D
There are 5 red balls, 7 blue balls, 6 green balls and 9 black balls in a bag. What is the minimum number of balls to be taken out of the bag to assure that you have all the balls of one color?
Choose the most appropriate option.
A) 10
B) 23
C) 43
D) 40
E) 24

Solution: The worst case scenario would be if we pick 4 red balls, 6 blue balls, 5 (?) balls and 8 black balls. In this case we'll have  4+6+5+8= 
 4+6+5+8 = 23
23balls and still won't have all the balls of one color. The next 24rd ball we pick, no matter which color it'll be, will guarantee that we have all the balls of one color.   Answer: 24
Answer: E
A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 8 less, he would have made a profit of 10%. The C.P. of the article was  Pick:
A) 1600
B) 1500
C) 1200
D) 1388
E) 1211

Solution: Explanation:   Let original Cost price is x   Its Selling price = (105/100) * x = 21x/20   New Cost price = (95/100) * x = 19x/20   New Selling price = (110/100 )* (19x/20 )= 209x/200   [(21x/20) - (209x/200)] = 8   => x = 1600   1600nswer: 1600) Rs 1600
Answer: A
A students was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x?
Select: A) 3 B) 7 C) 17 D) 31 E) 38

Solution: adding all the numbers we get 137+x   GIVEN-(137+x)/12=12   137+x=12*12= 
12*12 = 144
144-137= 
144-137 = 7
7   ANSWER:7
Answer: B
If the class marks in frequency distribution weights of students be 128, 137, 146, 155, 164, 173 and 182 kgs then the first class boundary is	Select the correct option.
A) 123.8	B) 123.7	C) 123.5	D) 223.5	E) 1222.2

Solution: Sol:   Rule for class boundary is = n1– (n2 – n1)/2.   So here n1 = 128, n2 = 137;   First class boundary = 128 – (137 – 128)/2 = 128 – 4.5 = 123.5   Hence option (123.5) is correct.
Answer: C
A sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 70 extra yellow balls and making ratio of white balls to yellow balls 8/13. How many tennis balls did the retailer order originally.	Choose the correct choice from the following choices:
A) 180
B) 130
C) 140
D) 160
E) 224

Solution: White:Yellow = x:(x+70) = 8:13 --> 13x = 8x + 560 --> x = 112.   The total # of balls originally x + x = 112 + 112= 
112 + 112 = 224
224.   Answer:224.
Answer: E
There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate? Options:
A) Rs. 2160
B) Rs. 3120
C) Rs. 3972
D) Rs. 6240
E) Rs. 5240

Solution: Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.   R = (100 * 60)/(100 * 6)= 
(100 * 60)/(100 * 6) = 10
10% p.a.   Now, P= Rs. 12000, T = 3 years and R = 10% p.a.   C.I. = [12000 * {(1 + 10/100)3 - 1}]   = 12000 * 331/1000 = Rs. 3972   ANSWER:Rs. 3972
Answer: C
Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 1.5 screws and 4.5 nails? Select.
A) a. 4 B) b. 5/2 C) c. 2 D) d. 3/2 E) e. 20/11

Solution: let the weight of nail be n and that of screw be s..   so s+w=1/2 * (6s+1n)...   or 1n = 4s..   lets see the weight of 3 s and 3n= 3s+3*4s=15s..   and weight of 1.5s and 4.5n3 +3*4= 
3 +3*4 = 15
15s..   and weight of 1.5s and 4.5n= 1.5s+4.5*1.5s=8.25s..   ratio1.5 +4.5*1.5= 
1.5 +4.5*1.5 = 8.25
8.25s..   ratio= 15s/8.25s=15/8.25=20/11   e. 20/11
Answer: E
A train 800 m long can cross a pole in 10 sec and then find the speed of the train?	Choices:  A) 280  B) 282  C) 284  D) 286  E) 288

Solution: Length = Speed * time   Speed = L/T   S = 800/10= 
800/10 = 80
80 M/Sec   Speed= 80*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 288 Kmph   Answer:288
Answer: E
Given that there are 6 basketball players per team, how many ways can you select 3 basketball players from 3 teams if no more than one player can be selected from each team?	Answers:
A) 15
B) 216
C) 60
D) 75
E) 90

Solution: 3 teams can be selected from 3 teams in 3C3 ways = 1 ways   as the condition is that the 2 players should be from different teams   one player can be chosen from 1st team in 6 ways   similarly another player can be chosen from 2nd team in 5 ways   Total number of ways to choose the player = 6 * 6 * 6= 
6 * 6 * 6 = 216
216 ways   Correct Answer - 216
Answer: B
Look at this series: 75000,25000,5000... What number should come next?
Select:
A) 1000  B) 10  C) 15  D) 18  E) 8

Solution: 1000   This is a simple division series. Each number is divided by 5.   1000NSWER 1000
Answer: A
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?
Answers
A) Rs. 4082.40	B) Rs. 1024.21	C) Rs. 2810.6	D) Rs. 3214	E) None of these

Solution: Explanation:   Length of the first carpet = (1.44)(6) = 8.64 cm   Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)   = 51.84(1.4)(5/4) sq m = (12.96)(7) sq m   Cost of the second carpet = (45)(12.96 x 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40   Rs. 4082.40nswer IS Rs. 4082.40
Answer: A
By selling 150 mangoes, a fruit-seller gains the selling price of 10 mangoes. Find the gain percent?	Choose the correct answer:
A) 7%  B) 25%  C) 21%  D) 85%  E) 24%

Solution: SP = CP + g   150 SP = 150 CP + 10 SP   140 SP = 150 CP   140 --- 10 CP   100 --- ? => 7%   7%nswer:7%
Answer: A
a man buys postage stamps of denomination of 30ps. and 50 ps. for rs.10.00. he buys 22 stamps in all. find the no of 30ps. stamps bought by him.	Choose the most appropriate option
A) 5 B) 6 C) 17 D) 8 E) 9

Solution: 50ps stamp = 17 (17*.50 = 8.50rs)   30ps stamp = 5 (5*.30 = 1.50rs)   5NSWER:5
Answer: A
If the ratio of a to b is 5 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?	Select
A) 4/15
B) 1/3
C) 2/5
D) 4/5
E) 7/6

Solution: a:b = 5:3 -- 1   b:c = 1:5   =>b:c = 3 :15 --2   From 1 and 2 , we get   a:c = 4:15   Answer 1/3
Answer: B
A, B AND C ARE EMPLOYED TO DO A PIECE OF WORK FOR RS. 529. A AND B TOGETHER ARE SUPPOSED TO DO 19/23 OF THE WORK AND B AND C TOGETHER 8/23 OF THE WORK. WHAT AMOUNT SHOULD A BE PAID? Choose the correct answer:
A) RS. 315
B) RS. 345
C) RS. 355
D) RS. 375
E) NONE OF THESE

Solution: WORK DONE BY A=(1-8/23)=15/23.   A:(B+C)=15/23:8/23=15:8   SO, A'S SHARE=RS. (15/23*529)=RS. 345.   CORRECT OPTION: RS. 345
Answer: B
The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum W of all the digits of the integers from 0 to 99 inclusive?  Choose the correct choice from the following answers.
A) 450 B) 810 C) 900 D) 1000 E) 1100

Solution: We want the sum of the digits from 0 to 99, so I approximated:   0-9 ->45-> (9+0)*10/2   40-49 ->85(13+4)*10/2   90-99 ->135(18+9)*10/2   We can see at a glance that theweightgoes up as the numbers go up (meaning the difference between 85 and 45 is 40, while 135-85 is 50, this means that the second part of this sequence carries more weight for our result), so we know that the final answer has to be more than 850 (85*10) but close to it, and that's just W= 900:the answer is 900.
Answer: C
A certain Sky Blue paint contains 10 percent blue pigment and 90 percent red pigment by weight. A certain green paint contains 70 percent blue pigment and 30 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
Select the correct option:
A) 1.5	B) 2.5	C) 3.5	D) 4.5	E) 5.5

Solution: 10 Grams of combined mixture and 40% blue pigment means that the mixtures were mixed 50% each. Thus 5 grams a piece. Out of the 5 grams of the Dark Blue paint, 60% is red. Therefore, 5*.9 =4.5 Grams of red pigment
Answer: D
How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 6%?	Choose the correct option:  A) 0—1.5 gal  B) 1.5—3 gal  C) 3—4.5 gal  D) 4.5—6 gal  E) 6+ gal

Solution: Let amount of water that must be added in gallons to dilute concentration of brine solution = x   Amount of brine already present = 10/100 * 10= 
10/100 * 10 = 1
1 gallon   1/(10+x) *100= 6   =>100 = 60 + 6x   => x= 40/6 = 6.6   Answer 6+ gal
Answer: E
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 Â½ hours after the first, and reaches Pune Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?  Choose the correct choice from the following options:
A) 1:2
B) 1:3
C) 10:27
D) 5:4
E) 10:40

Solution: Explanation:   T = 192/32= 
192/32 = 6
6 h   T= 6 - 3= 
6 - 3 = 3
3   Time Ratio= 6:3 = 2:1   Speed Ratio = 1:2   1:2NSWER IS 1:2
Answer: A
Renu can do a piece of work in 5 days, but with the help of her friend Suma , she can do it in 4 days. In what time Suma can do it alone?
Choose the correct choice from the following answers.
A) 10 B) 12 C) 14 D) 15 E) 20

Solution: Renuâ€™s one dayâ€™s work = 1/5   Sumaâ€™s one dayâ€™s work = 1/4 - 1/5 = 1/20   Suma can do it alone in 20 days.   ANSW20R:20
Answer: E