MU-NLPC/Calc-aqua_rat huggingface dataset:
The average of 11numbers is 60. Out of 11numbers the average of first 6no. is 88, and last 6numbers is 65 then find 6th number?  Select the correct option:  A) A)258  B) B)65  C) C)58  D) D)62  E) E)48

Solution: 6th number = sum of 1st 6no.s + sum of last 6no.s - sum of 11no.s   answer = 6*88+6*65-11*60= 
6*88+6*65-11*60 = 258
258   258nswer is 258
Answer: A
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?	Choose the correct choice from the following answers: A) 7 B) 4 C) 9 D) 3 E) 1

Solution: M = 45   S = 1.5   DS = 6   US = 3   AS = (2 * 6 * 3) /9= 
(2 * 6 * 3) /9 = 4
4   Answer:4
Answer: B
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business? Choices
A) 2400  B) 2880  C) 2787  D) 3087  E) 0728

Solution: 1200 * 12: x * 9 = 2:3   x = 2400   2400nswer: 2400
Answer: A
If x^3 is divisible by 240 what is the least possible value of integer x?	Select
A) 12	B) 30	C) 60	D) 90	E) 120

Solution: 240 can be written as (2^4)*3*5.   For k^3 to be divisible by 240 it should contain atleast 2^4 and 3 and 5 in its factors. We can leave out option A because 12 doesnt have 5 as one of its factor. Now if we check for option B, 30 can be written as 2*3*5, hence 30^3 will have 3 as the maximum power of 2, so we can leave out this option too.   Option C is the right answer if we follow the same method as we followed for other two previous options.   60 = (2^2)*3*5; 60^3 = (2^6)*(3^3)*(5^3). So it shows that 60^3 is divisible by 240 and hence the answer.   Answer : 60
Answer: C
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 5 muffins remained. How many guests did Monica plan on?
Pick:
A) 9.	B) 4.	C) 3.	D) 6.	E) 7.

Solution: 5N +2 = 5 + 6(N-1)   Solving N= 3   Hence 3.
Answer: C
What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually?
Pick one
A) Rs.2592 B) Rs.2492 C) Rs.2352 D) Rs.2382 E) Rs.2362

Solution: The usual way to find the compound interest is given by the formula A = .p(1+r/100)^n   In this formula,   A is the amount at the end of the period of investment   P is the principal that is invested   r is the rate of interest in % p.a   And n is the number of years for which the principal has been invested.   In this case, it would turn out to be A =1500(1+20/100)3   = 2592. Rs.2592nswer: Rs.2592
Answer: A
If xy ≠ 0 and x^2y^2 − xy = 30, which of the following could be y in terms of x?
I. 6/x
II. -5/x
III. 3/x
Choose the correct choice from the following answers:
A) I only
B) II only
C) I and II only
D) I and III
E) II and III

Solution: (x^2)(y^2) – xy - 30 = 0   (xy – 6)(xy + 5) = 0   xy – 6 = 0 or xy + 5 = 0   xy = 6 or xy = -5   Since we need y in terms of x, we can isolate y in both of our equations.   y = 6/x or y = -5/x   Answer: I and II only
Answer: C
The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is? Choose the correct answer.
A) 2387
B) 500
C) 286
D) 298
E) 261

Solution: Let the sum be Rs. P. Then,   [P(1 + 10/100)2 - p] = 525   P[(11/10)2 - 1] = 525   P = (525 * 100) / 21= 
(525 * 100) / 21 = 2_500
2500   Sum= Rs. 2500   So, S.I. = (2500 * 5 * 4)/100 = Rs. 500   Answer: 500
Answer: B
Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exact 8 days. If B starts, they take a day more. How long does it take to complete the task if they both work together?  Choose the correct choice from the following:
A) 6	B) 7	C) 8	D) 4	E) 2

Solution: Work done by AB in a day = xy respectively.   When A starts:   No. of days when A works = 4No. of days when B works = 4 → 4x + 4y = 1   When B starts:   No. of days when A works = 5No. of days when B works = 3 → 5x + 3y = 1   Solving the above two equations for xy   x = 1/8 y = 1/8   → Total work done by AB in a day = 1/8 + 1/8 = 1/4   → No. of days to complete the work when both work together = 4   Answer: 4
Answer: D
The compound ratio of 2/3, 6/7, 1/3 and 1/9 is given by?	Choose the correct choice from the following options:
A) 7/98
B) 1/48
C) 4/189
D) 1/96
E) 1/68

Solution: 2/3 * 6/7 * 1/3 * 1/9 = 12/567 = 4/189   ANSWER:4/189
Answer: C
A man sold 20 articles for $60 and gained 10%. How many articles should he sell for $90 to incur a loss 20%?	Pick one
A) 45  B) 36  C) 40  D) 50  E) 48

Solution: Production cost per article: $60*(100%-10%) / 20 = $2.70   Required production costs for a loss of 20%: $90*(100% + 20%) = $108   Number of articles to be sold for $108 to incur a 20% loss: $108 / $2.70 = 40   Thus, solution 40 is correct.108 /  2.70= 
108 /  2.70 = 40
40   Thus, solution 40 is correct.
Answer: C
Two trains are running in opposite directions with the same speed. If the length of each train is 420 m and they cross each other in 24 sec, then the speed of each train is?
Answers
A) 63  B) 89  C) 36  D) 34  E) 23

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (420 + 420)/24 => x = 17.5   Speed of each train = 17.5 m/sec.   = 17.5 * 18/5= 
17.5 * 18/5 = 63
63 km/hr.   63nswer: Option 63
Answer: A
The radius of the two circular fields is in the ratio 3: 10 the area of the first field is what percent less than the area of the second?	Choose the correct answer.
A) 71%  B) 51%  C) 91%  D) 81%  E) 61%

Solution: r = 3 Ï€r2 = 9   r = 10 Ï€r2 = 100   100 Ï€ â€“ 9Ï€=91   100 ---- ? => 91%.Answer:91%
Answer: C
The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary? Select the correct option.
A) 1009  B) 1018  C) 1000  D) 1082  E) 1029

Solution: X * (110/100) * (95/100) = 1045   X * (11/10) * (1/100) = 11   X = 1000   Answer:1000
Answer: C
A man on tour travels first 120 km at 60 km/hr and the next 160 km at 80 km/hr. Find the average speed for first 280 km of tour.	Select: A) 70.00 km/hr B) 71.11 km/hr C) 72.11 km/hr D) 73.11 km/hr E) None of these

Solution: Explanation:   We know Time = Distance/speed   So total time taken =   (120/60+160/80)= 
(120/60+160/80) = 4
4hours   Time taken for 280 Km= 280/4= 
280/4 = 70
70.km/hr   Option 70.00 km/hr
Answer: A
Two friends shared the tiffin . If both ate for the same amount of food, but A only ate 3/5 of the total food, what was the ratio of B and A?	Choose one.
A) 1:5	B) 2:5	C) 1:2	D) 3:2	E) 2:3

Solution: The answer is suppose to be E. 2:3. It's from the GMATPrep   Answer:option 2:3
Answer: E
Anne bought doughnuts for a class breakfast party. She bought 15 chocolate doughnuts, 12 coconut doughnuts, and 14 jam-filled doughnuts. How many doughnuts did Anne buy in all?
Choose the correct choice from the following answers
A) 41 B) 36 C) 39 D) 21 E) 11

Solution: Add the numbers of doughnuts.   15 + 12 + 14= 
15 + 12 + 14 = 41
41.   41nswer is 41.
Answer: A
A salt manufacturing company produced a total of 3000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year? Choose the correct choice from the following options.
A) 119
B) 185
C) 190
D) 116
E) 200

Solution: Total production of salt by the company in that year = 3000 + 3100 + 3200 + .... + 4100 = 42600.   Average monthly production of salt for that year = 42600/365 â‰ˆ 116   ANSWER:116
Answer: D
In an increasing sequence of 8 consecutive even integers, the sum of the first 4 integers is 248. What is the sum of all the integers in the sequence?  Choices.
A) 528  B) 568  C) 574  D) 586  E) 590

Solution: let the first term of the sequence be x   since it is consecutive even integers the terms be we x, x+2,x+4...x+14 (up to 8 terms)   now,   sum of first 4 terms =248   or,   4x+12=248   x=236/4= 
236/4 = 59
59   Thus the answer can now be calculated by either summing up 59+61+63+... 8th term   or   s=n/2(2a+(n-1)d   =8/2(2*59+(7*2))   =4(118+14)=528   528
Answer: A
Find the average of all the numbers between 11 and 36 which are divisible by 5  Choose the correct answer.
A) 15	B) 20	C) 25	D) 30	E) 35

Solution: Explanation:   Average = (15 + 20 + 25 + 30 + 35) / 5 = 125/5= 
125/5 = 25
25   ANSWER 25
Answer: C
If log10 2 = 0.3010, the value of log10 80 is:  Answers: A) 1.5252 B) 1.903 C) 3.9252 D) 3.903 E) 2.5252

Solution: = log10 8 + log10 10   = log10 (23 ) + 1   = 3 log10 2 + 1   = (3 x 0.3010) + 1   = 1.9030.   ANSWER 1.903
Answer: B
In how many ways can 3 black and 5 white chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.	Choose the correct choice from the following:
A) 720
B) 30
C) 120
D) 15
E) 60

Solution: 3 black chess pieces can be arranged in 3! ways and 5 white pieces can be arranged in 5! ways.   W_W_W_W   Number of ways = 3!*5! = 6 * 120= 
6 * 120 = 720
720   720nswer 720
Answer: A
A survey was conducted to find out how many people in a housing colony of 144 residents could swim, dance and drive a car. It was found that the number of people who could not swim was 89, the number of people who could not dance was 100 and that the number of people who could not drive a car was 91. If the number of people who could do at least two of these things, was found to be 36 and the number of people who could do all these things was found to be 6, how many people could not do any of these things?	Choose one
A) 36  B) 28  C) 30  D) 32  E) 34

Solution: T=n(A)+n(B)+n(C)-n(34xactly two of the events)-2*n(All 3 34vents)+n(None of the events)   T=144   n(A)=T-n(A')=144-89= 
144-89 = 55
55   n(B)=T-n(B')=144-100= 
144-100 = 44
44   n(C)=T-n(C')=144-91= 
144-91 = 53
53   n(34xactly two of the events)=n(At least 2 34vents)-n(All 3 34vents)=36-6= 
36-6 = 30
30   n(All 3 34vents)=6   144=55+44+53-30-2*6+n(None of the events)   n(None of the events)=144-55-44-53+30+12= 
144-55-44-53+30+12 = 34
34   Ans:34
Answer: E
A man whose speed is 3.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey? Select:
A) 2.0
B) 2.5
C) 3.0
D) 2.1
E) 4.0

Solution: M = 3.5   S = 1.5   DS = 5   US = 2   AS = (2 * 5 * 2) /5= 
(2 * 5 * 2) /5 = 4
4   Answer: 4.0
Answer: E
In the coordinate plane, one of the vertices of a square is the point (-3, -4). If the diagonals of that square intersect at point (5, 3), what is the area of that square?	Choose the correct answer
A) 100	B) 169	C) 225	D) 324	E) 256

Solution: One point (-3-4), Intersection (3,2) so the distance from the first point -3-5=-8 is the midpoint of the square --> whole side 16, 16*16=256   256
Answer: E
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Choose the correct answer.
A) 338 B) 278 C) 800 D) 269 E) 112

Solution: 25 = E/(1000 - E) * 100   1000 - E = 4E   1000 = 5E => E = 200   1000 - 200= 
1000 - 200 = 800
800   Answer: 800
Answer: C
Village X has a population of 68000, Which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of the two villages be equal ?
Choose the correct choice from the following choices:
A) 7 years
B) 6 years
C) 9 years
D) 13 years
E) 12 years

Solution: Let the population of village X and Y be equal after p years   Then, 68000-1200P=42000 + 800P   2000P=2600   P=13   so, their population will be equal after 13 years   ANSWER: 13 years
Answer: D
Dividing by 3⁄7 and then multiplying by 5⁄6 is the same as dividing by what number?  Select.
A) 35⁄18  B) 16⁄5  C) 20⁄9  D) 9⁄20  E) 5⁄16

Solution: say X/3/7*5/6 = x*7/3*5/6 = x*35/18   35⁄18
Answer: A
A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Pick one:
A) 18
B) 20
C) 22
D) 24
E) 25

Solution: x ----- 9   (x + 10) --- 6   x * 9 = (x + 10)6   x = 20   ANSWER 20
Answer: B
If each side of a right triangle is increased by 10% and the base(b) is half of the height, find the percentage change in its area? Select:	A) 26%	B) 21%	C) 15%	D) 18%	E) 12%

Solution: a =1/2 x b x h or 1/2 x 2a x a(for simplification)   New h = 220a / 100 = 22a / 10   New b =(110a x 100) ==11a/10   New area = 1/2 (22a x 11a) / (10 x 10) = (121a²/100)   increased area== (121a²/100) - a²   Increase %= [(21a²/100 ) x (1/a² ) x 100]% = 21%   answer :21%
Answer: B
A dog takes 5 leaps for every 6 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Choose the correct choice.
A) 1:6
B) 5:6
C) 6:1
D) 5:1
E) 9:1

Solution: Explanation:   5:1og : Hare = (5*3) leaps of hare : 6 leaps of hare = 15 : 3-->5:1   Answer: 5:1
Answer: D
On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.50 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
Choose the correct option.
A) 0.027 B) 0.09 C) 0.417 D) 0.657 E) 0.875

Solution: Probability he hears a song is like:   Tune to A and likes what he is hearing = 0.5   Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.5 * 0.5= 
0.5 * 0.5 = 0.25
0.25   Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to C and finally falls in love with the program= 0.5^3 = 0.125   Total = 0.875   Ans 0.875
Answer: E
Ram professes to sell his goods at the cost price but he made use of 750 grms instead of a kg, what is the gain percent?  Answers.
A) 11 1/7%	B) 11 7/7%	C) 11 1/9%	D) 33.33%	E) 11 1/2%

Solution: 750 --- 250   100 --- ? => 33.33%   Answer:33.33%
Answer: D
John has on his shelf three books of poetry, four novels, and three reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
Select the correct option:
A) 12/45  B) 2/5  C) 3/10  D) 7/20  E) 8/45

Solution: When we are picking two books, one novel and one reference work, we could either pick a novel first and then a reference book or pick a reference book and then a novel. Therefore the answer is 4/10*3/9 + 3/10*4/9 = 12/45.   12/45nswer: 12/45
Answer: A
In how many ways a committee,consisting of 5 men and 6 women can be formed from 8 men and 10 women? Pick
A) 266  B) 5040  C) 11760  D) 86400  E) None

Solution: Solution   Required number of way = (8 11760 5 × 10 11760 6) = (8 11760 3 × 10 11760 4)   =( 8x7x6/3x2x1x 10x9x8x7/4x3x2x1) = 11760   Answer 11760
Answer: C
In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.78 per kg?
Options:
A) 5:8  B) 4:7  C) 3:7  D) 9:5  E) 9:8

Solution: (96-78)/(78-68)=18/10=9/5   ANSWER:9:5
Answer: D
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 45 minutes. When both pipes are opened, find when the cistern will be full?
Select the correct option:
A) 17 minutes B) 87 minutes C) 36 minutes D) 27 minutes E) 11 minutes

Solution: 1/20 - 1/45 = 1/36   36 minutes   Answer:36 minutes
Answer: C
If NOIDA is written as STNIF, how MEERUT can be written in that code?	Pick.
A) RJJWZY	B) RIJWZY	C) RJJWZX	D) RJJWZZ	E) RJJWZW

Solution: N + 5 = S   O + 5 = T   I + 5 = N   D + 5 = F   SO,   M + 5 = R   E + 5 = J   E + 5 = J   R + 5 = W   U + 5 = Z   T + 5 = Y   RJJWZY RJJWZYNSWER:RJJWZY
Answer: A
If a rectangle have length 16 cm and diagonal 20cm.calculate its area.  Pick one: A) 185 B) 132 C) 165 D) 192 E) 212

Solution: breadth=√20^2-16^2=√144=12cm   Area=16*12= 
16*12 = 192
192 sq.cm   Answer 192
Answer: D
Painter A can paint a house in 16 days, and painter B can do the same work in 20 days. With the help of painter C, they paint the house in 8 days only. Then, Painter C alone can do this task in Select.
A) 90 days
B) 45 days
C) 20 days
D) 50 days
E) 80 days

Solution: Work done by Painter A per day =1/16   Work done by Painter B per day =1/20   Work done by Painter A, Painter B, Painter C per day=1/10   Work done by Painter C per day = 1/10 - (1/16+1/20)=1/80   C can paint the house in 80 days.   80 days
Answer: E
In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number?  Choose the correct choice from the following:
A) 376
B) 286
C) 126
D) 297
E) 864

Solution: 864xplanation:   Let the three digit numbers be 100a + 10b + c   a = b + 2   c = b - 2   a + b + c = 3b = 18 => b = 6   So a = 8 and b = 4   Hence the three digit number is: 864   Answer: 864
Answer: E
How many total numbers of seven-digit numbers can be formed having sum of whose digits is even is Pick one:
A) 9000000 B) 4500000 C) 8100000 D) 4400000 E) None of these

Solution: Suppose x1 x2 x3 x4 x5 x6 x7 represents a seven digit number. Then x1 takes the value 1, 2, 3, ....., 9 and x2, x3,....., x7 all take values 0, 1, 2, 3, ......, 9.   If we keep x1, x2, ......, x6 fixed, then the sum x1 + x2 + ......+ x6 is either even or odd. Since x7 takes 10 values 0, 1, 2, ....., 9, five of the numbers so formed will have sum of digits even and 5 have sum odd.   Hence the required number of numbers   = 9 . 10 . 10 . 10 . 10 . 10 . 5 = 4500000   Answer 4500000
Answer: B
Which fraction should be added to:
1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ....... + 1/(29 Ã— 30)
so that the result is equal to 1?	Select the correct option:
A) 4/15 B) 7/15 C) 8/15 D) 11/30 E) 13/30

Solution: The given expression   = 1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ...... + 1/(29 Ã— 30)   = (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + .......... + (1/29 - 1/30)   = 1/2 - 1/30 = 14/30   Thus, the fraction we should add = 1 - 14/30 = 16/30 = 8/15   The answer is 8/15.
Answer: C
ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,30) and (-5,15). Which can be the coordinate of fourth vertex?
Choices:
A) (-5,-5)
B) (5,15)
C) (-5,-30)
D) (-5,10)
E) (15,30)

Solution: A(-5, 15)   B(5, 15)   C(5, 30)   X(-5, 30): Parallelogram=Square=AXCB, where AX||CB, AX=CB, XC||AB, XC=AB   Y(-5, 5): Parallelogram=AYBC, where AY||BC, AY=BC, AC||YB, AC=YB   Z(15, 30): Parallelogram=ACZB, where AC||ZB, AC=ZB, CZ||AB, CZ=AB   Ans:(15,30)
Answer: E
The velocity of a falling object in a vacuum is directly proportional to the amount of time the object has been falling. If after 3 seconds an object is falling at a speed of 90 miles per hour, how fast will it be falling after 12 seconds? Choose one
A) 18 miles per hour
B) 90 miles per hour
C) 216 miles per hour
D) 288 miles per hour
E) 360 miles per hour

Solution: Since Velocity is proportional to Time   Velocity =k*Timewhere k is the constant of proportionality   Time= 3 seconds   Velocity = 3k = 90 miles per Hour   i.e. k = 30   i.e. The relation between Velocity and Time becomes   Velocity =30*Time   Time= 12 seconds   Velocity = 30*12= 
30*12 = 360
360 miles per hour   Answer: Option 360 miles per hour
Answer: E
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 384 votes. Find the number of votes casted to the winning candidate?	Options:
A) 288  B) 744  C) 992  D) 298  E) 177

Solution: W = 62% L = 38%   62% - 38% = 24%   24% -------- 384   62% -------- ?  62  - 38= 
 62  - 38 = 24
24%   24% -------- 384   62% -------- ?=> 992   Answer: 992
Answer: C
A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent? Choose the correct choice from the following answers
A) 9
B) 8
C) 7
D) 6
E) 4

Solution: (30*30)/100= 
(30*30)/100 = 9
9%loss.9nswer: 9
Answer: A
How many of the positive factors of 24 are not factors of 30	Choose one:  A) 2  B) 3  C) 4  D) 1  E) 5

Solution: factors of 24 - 1, 2, 3, 4, 6, 8, 12,24   factors of 30 -1, 2, 3, 5, 6, 10, 15 and 30.   4omparing both, we have four factors of 24 which are not factors of 30- 4,8,12,24   Answer(4)
Answer: C
How many ways could three people sit at a table with five seats in which two of the five seats will remain empty?  Choose the correct option:
A) 8	B) 12	C) 60	D) 118	E) 120

Solution: ways in which 3 seats out 5 can be selected = 5603   ways in which 3 people can be arranged in 3 seats = 3!   Total ways of arrangement = 5603*3!   =5*4/2*6   =10*6= 
10*6 = 60
60   Ans= 60
Answer: C
Find the number of zeroes at the end of 50!	Choose one:
A) 10
B) 11
C) 12
D) 13
E) 14

Solution: calculate division by 5 and 25   50/5= 
50/5 = 10
10   50/25= 
50/25 = 2
2   total=12   ANSWER:12
Answer: C
A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 60$ for the meal.Assuming that they will pay 7% in sales tax for the meal and leave a 15% tip,what is the most their food can cost?  Choose the correct choice from the following answers:
A) 39.55$
B) 40.63$
C) 41.63$
D) 42.15$
E) 48.7$

Solution: let x is the cost of the food   1.07x is the gross bill after including sales tax   1.15* 1.07x=60   x=48.7   Hence, the correct option is 48.7$
Answer: E
Which of the following integers is NOT a divisor of x if x = (21)(3^7) + (23)?	Choose the correct choice from the following answers:
A) 2
B) 5
C) 9
D) 10
E) 25

Solution: (21)(3^7) is divisible by 3 but 23 is not divisible by 3.   Therefore (21)(3^7) + 23 is not divisible by 3 and thus not divisible by 9.   The answer is 9.
Answer: C
A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B's contribution in the capital Choose the correct choice from the following choices: A) Rs 9000 B) Rs 7000 C) Rs 5000 D) Rs 4000 E) None of these

Solution: Explanation:   Let B contribution is x.   3500*12/7x =2/3   =>14x=126000=>x=Rs9000   Option Rs 9000
Answer: A
A Private Limited company have 20 staffs and they celebrated one festival. Director gives Rs.10000/- to his accountant and told him to 4500/- to each staff Rs. 2000/- each to cleaning staff and cooking staff and balance for you. Then how much amount accountant received?  Choose the correct choice from the following options:
A) 10500	B) 20000	C) 4500	D) 6500	E) 5000

Solution: Total amount paid for 20 Staffs :  4500 * 19= 
 4500 * 19 = 85_500
85500/-   Paid to Cleaning & Cooking Staff : 2000/- * 2= 4000/-   Total amount paid for both : 85500/- + 4000/- =89500/-   Balance with 10500ccountant : 100000 - 89500= 
100000 - 89500 = 10_500
10500/-   10500nswer is (10500)
Answer: A
What is the sum of natural numbers between 50 and 100 Choose one:
A) 4800 B) 4860 C) 3825 D) 5500 E) 5550

Solution: a = first number   l = last number   Sn = n/2[a + l]   between 50 and 100 numbers = 51 => 100 - 50= 
100 - 50 = 50
50 + 1= 
50 + 1 = 51
51   Sn= 51/2 Ã— 150 = 51 Ã— 75 = 3825   Answer : 3825
Answer: C
if log10 7 = a then log10 (1/70) equal to  Select:
A) -(1+a)	B) (1+a)	C) (1+2a)	D) (2+a)	E) (2+2a)

Solution: log10(1/70) = log10 1 - log10 70   = - log10 (7*10)   = -(log10 7 + log10 10) = -(a+1)   -(1+a)NSWER -(1+a)
Answer: A