MU-NLPC/Calc-aqua_rat huggingface dataset:
What is the average (arithmetic mean) of all the multiples of ten from 10 to 150 inclusive?	Choose the correct option.
A) 80  B) 95  C) 100  D) 105  E) 110

Solution: The multiples of ten from 10 to 150 inclusive would be an evenly spaced set with 15 terms - 10, 20, 30,.......150   So average = (First term + Last Term)/2 = (10 + 150)/2 = 160/2= 
160/2 = 80
80   Hence, the correct answer is 80.
Answer: A
Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 11 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately.
Choose the correct option:	A) 80 days	B) 100 days	C) 120 days	D) 110 days	E) 200 days

Solution: Rate of both = 1/20   Together they do = 1/20*11 = 11/20   Left work = 1 - 11/20 = 9/20   Adam completes 9/20 work in 10 day   so he took 10*20/9 = 200/9 days to complete the left work alone.   Thus the rate of adam is 9/200   Rate of Micheal = 1/20 - 9/200 = 1/200   Thus micheal takes 200 days to complete the whole work.   ans. 200 days.
Answer: E
If a(a - 6) = 27 and b(b - 6) = 27, where a ≠ b, then a + b =?	Pick:  A) −48  B) −2  C) 6  D) 48  E) 46

Solution: i.e. if a =-3 then b = 9   or if a = 9 then b =-3   But in each case a+b = -3+9= 
-3+9 = 6
6   Answer: option 46
Answer: E
A rectangular field is to be fenced on three sides leaving a side of 34 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?	Choose the correct choice from the following:
A) 74ft B) 88ft C) 22ft D) 11ft E) 66ft

Solution: Given that length and area, so we can find the breadth.   Length x Breadth = 74ftrea   34 x Breadth = 680   Breadth = 20 feet   74ftrea to be fenced = 2B + L = 2 (20) + 34 = 88 feet   74ftnswer: 74ft) 74ft
Answer: A
In the arithmetic sequence t1, t2, t3, ..., tn, t1=23 and tn= tn-1 - 3 for each n > 1. What is the value of n when tn = 5?	Choose the correct choice from the following answers:	A) -1	B) 7	C) 10	D) 14	E) 20

Solution: We know that t1 = 23   So, using the given formula we have:   t1=(t1-1) -3 =23   t0 - 3 = 23   t0= 26   The same way we find that t2= 20   It seems that the sequence goes like this:   t0 = 26   t1 = 23   t2 = 20   t3 = 17   t4 = 14   t5 = 11   t6 = 8   t7 = 5   So, ourANS is 7.
Answer: B
A grocery shop has a sale of Rs. 6235, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Choose the correct option:
A) 4857	B) 4184	C) 4012	D) 5191	E) 5291

Solution: Let the sale in the sixth month =x   Then   (6235+6927+6855+7230+6562+x)/6 =6500   =>6235+6927+6855+7230+6562+x =6×6500   => 33809+x=39000   => x=39000−33809   =5191   ANSWER:5191
Answer: D
The ratio of numbers is 3:4 and their H.C.F is 3. Their L.C.M is:
Choose the correct choice from the following answers.
A) 12  B) 16  C) 36  D) 48  E) 98

Solution: Let the numbers be 3x and 4x.   Then their H.C.F = x. So, x = 3.   So, the numbers are 9 and 12.   L.C.M of 9 and 12 = 36.   ANSWER:36
Answer: C
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? Choose the correct choice from the following answers.
A) 6.25
B) 7
C) 7.25
D) 7.5
E) 8

Solution: So we calculate the runs in the first 10 overs   first 10 overs they got 32 runs   remaining 40 overs they got 250   250 / 40= 
250 / 40 = 25/4 = around 6.25
6.25   answer 6.25
Answer: A
In the next Cricket World Cup T-20, Team T has decided to score 200 runs only through 4s and 6s. In how many ways can the Team T score these 200 runs? Choose the correct choice from the following choices
A) 13	B) 15	C) 16	D) 17	E) 18

Solution: Team T can score a maximum of 50 fours and a minimum of 2 fours with an interval or spacing of 3 units to accommodate the 6's.   So the number of fours scored forms an AP 2, 5, 8, ... 50 with a common difference of 3.   Number of ways of scoring 200 only through 4's and 6's = (50 - 2)/3 + 1= 
(50 - 2)/3 + 1 = 17
17   Answer: D   Alternate solution: 4x + 6y= 200 --> 2x + 3y = 100   x = (100 - 3y)/2 --> 100 - 3y should be even. This is possible when 3y is even.   There are 17 even multiples of 3 between 0 and 100.   Answer: 17
Answer: D
On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004? Choose the correct choice from the following answers.
A) Saturday
B) Tuesday
C) Friday
D) Sunday
E) monday

Solution: Explanation:   The year 2004 is a leap year. It has 2 odd days.   The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.   Hence, this day is Sunday   Answer: Sunday
Answer: D
The average of four consecutive odd numbers is 24. Find the largest number
Options
A) 25  B) 27  C) 29  D) 31  E) 32

Solution: Explanation:   Let the numbers are x, x+2, x+4, x+6, then   =>x+(x+2)+(x+4)+(x+6) / 4=24   =>4x+12) / 4=24   =>x+3=24=>x=21   So largest number is 21 + 6= 
21 + 6 = 27
27   Option 27
Answer: B
What is difference between biggest and smallest fraction among 1/3, 3/4, 4/5 and 5/6	Choose the correct choice from the following answers:
A) 2/5  B) 1/2  C) 1/6  D) 1/7  E) None of these

Solution: Explanation:   1/3 = .33, 3/4 = .75, 4/5 = .8 and 5/6 = .833   So biggest is 5/6 and smallest is 1/3   Their difference is 5/6 - 1/3 = 3/6 = 1/2   Option 1/2
Answer: B
X does a work in 15 days. Y does the same work in 45 days. In how many days they together will do the same work?	Answers
A) 10  B) 12  C) 20  D) 11.25  E) 15

Solution: X's 1day's work= 1/15   Y's 1 day's work=1/45   (X+Y)'s 1day's work= (1/15+1/45)=1/11.25   both together will finish the work in 11.25 days.   correct option is 11.25
Answer: D
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 5 ½ hours if they are walking in the same direction?	Pick one:
A) 7 km	B) 6 km	C) 6 7/8 km	D) 9 km	E) 5 km

Solution: RS = 5 ¾ - 4 ½ = 1 ¼   T = 3 ½ h.   D = 5/4 * 11/2 = 55/8   = 6 7/8 km   Answer:6 7/8 km
Answer: C
Population is 22000. Population increases by 10% every year, then the population after 3 years is? Choose the correct choice from the following answers.
A) 26630  B) 29282  C) 36620  D) 26620  E) 26820

Solution: population after 1st year = 22000*10/100= 
22000*10/100 = 2_200
2200===> 22000+2200 = 24000   population after 2nd year = 24000*10/100= 
24000*10/100 = 2_400
2400===> 24000+2400 = 26620   population after 3rd year = 26620*10/100= 
26620*10/100 = 2_662
2662===> 26620+2662= 
26620+2662 = 29_282
29282   ANSWER:29282
Answer: B
The average age of three boys is 30 years and their ages are in the proportion 3 : 6 : 12. The age of the youngest boy is:	Choose the correct answer.
A) 21 years
B) 18 years
C) 15 years
D) 8.5 years
E) None of these

Solution: Total age of 3 boys = (30 Ã— 3) years = 90 years. Ratio of their ages = 3 : 6 : 12.   Age of the youngest = (60 Ã— 3â„21) years = 8.5 years.   Answer 8.5 years
Answer: D
A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 4:5:2, respectively, by weight. If 44 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes? Choose the correct option:	A) 15	B) 12	C) 8	D) 6	E) 4

Solution: We can first set up our ratio using variable multipliers. We are given that a fruit-salad mixture consists of apples, peaches, and grapes, in the ratio of 4:5:2, respectively, by weight. Thus, we can say:   apples : peaches : grapes = 4x : 5x : 2x   We are given that 39 pounds of the mixture is prepared so we can set up the following question and determine a value for x:   4x + 5x + 2x = 44   11x = 44   x = 4   Now we can determine the number of pounds of apples and of grapes.   pounds of grapes = (2)(4) = 8   pounds of apples = (4)(4) = 16   Thus we know that there are 16 – 8 = 8 more pounds of apples than grapes.   Answer is 8.
Answer: C
If 13x + < 2z and z + 3 = 5y2 then
Pick one:
A) x is necessarily less than y B) x is necessarily greater than y C) x is necessarily equal to y D) None of the above is necessarily true E) Cannot be determined

Solution: Explanation :   => 13x + 1 < 2z and z + 3 = 5y2   => 13x + 1 < 2(5y2 - 3).   => 13x + 1 < 10y2 - 6.   => 13x + 7< 10y2 , put x = 1   20 < 10y2 => y2 > 2   y2 > √2 => (y2 - 2)> 0.   Answer : None of the above is necessarily true
Answer: D
An electric motor makes 3,600 revolutions per minutes. How many degrees does it rotate in one second?
Choose the correct choice from the following options
A) 18.000 d/sec B) 28.000 d/sec C) 38.000 d/sec D) 21.600 d/sec E) 35.000 d/sec

Solution: 3600 revolutions / minute   = 3600*360 degrees / 60 seconds   = 21600 degrees / second   21.600 d/sec
Answer: D
When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 6, the quotient is 3y and the remainder is 1. What is the value of 7y – x ?
Pick one:
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: (1) x = 11y + 4   (2) 2x = 18y + 1   Let's subtract equation (1) from equation (2).   7y - 3 = x   7y - x = 3   The answer is 3.
Answer: C
Because of the economic slowdown, a multinational company curtailed some of the allowances of its employees. John, the marketing manager of the company whose monthly salary has been reduced to Rs.42,000 is unable to cut more on his expenditure. He finds that there is a deficit of Rs.2,000 between his earning and expenses in the first month. This deficit, because of inflationary pressure, will keep on increasing by Rs.500 every month. John has a saving of Rs 60,000 which will be used to fill the deficit. After his savings get exhausted, John would start borrowing from his friends. How soon will he start borrowing?
Choose one
A) 1st months	B) 10th months	C) 11th months	D) 12th months	E) 13th months

Solution: Let the Rashid 's savings will last till 'nn' months.   ⇒n2[2×2000+(n−1)500]=60,000⇒n2[2×2000+(n−1)500]=60,000   [Expenditure every month increases by 500 rupees]   ⇒n2+7n−200=0⇒n2+7n−200=0   n=12.38n=12.38   ⇒ Rashid after Kartik's mother asked him to get the vegetables, milk and butter from the market and gave him the money in the denominator of 1 Rupee, 2 Rupee and 5 Rupee coins.   Kartik first goes to the grocery shop to buy vegetables. At the grocery shop he gives half of his 5 Rupee coins in return receives the same number of 1 Rupee coins.   Next he goes to the dairy shop to buy milk and butter and gives all 2 Rupee coins and in return get thirty 5 Rupee coins, which increase the number of five rupee coins by 75% more than the original number.   If the number of 1 rupee coins now is 50, the number of 1 rupee and 5 rupee coins originally were will start borrowing money from his friends.   13th months
Answer: E
A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow? Select the correct option:
A) 2/91  B) 1/81  C) 1/8  D) 2/81  E) 3/81

Solution: Total number of balls = 4 + 5 + 6= 
4 + 5 + 6 = 15
15   Let S be the sample space.   n(S)= Total number of ways of drawing 3 balls out of 15 = 15C3   Let E = Event of drawing 3 balls, all of them are yellow.   n(E) = Number of ways of drawing 3 balls, all of them are yellow   = Number of ways of drawing 3 balls from the total 5 = 5C3   (∵ there are 5 yellow balls in the total balls)   P(E) = n(E)/n(S)   =5C3 /15C3=5C2 / 15C3 [∵ nCr = nC(n - r). So 5C3 = 5C2. 2/91pplying this for the ease of calculation]   =(5×42×1)/(15×14×13/3×2×1)=5×4/(15×14×13/3)=5×4/5×14×13=4/14×13=2/7×13=2/91   2/91nswer is 2/91
Answer: A
In a certain store, the profit is 350% 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 the correct choice from the following:
A) 72.2%  B) 70%  C) 100%  D) 250%  E) 120%

Solution: Let C.P. = Rs. 100. Then, profit = Rs. 320, S.P. = Rs. 450   New C.P. = 125% of Rs. 100 = Rs. 125.   New S.P. = Rs. 420   Profit = 450 - 125 = Rs. 325   Required percentage = 295/420 * 100 = 72.2%   72.2%NSWER:72.2%
Answer: A
The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the father insists of standing by his woman, as the song says?	Choose the correct choice from the following answers: A) 12 B) 24 C) 48 D) 60 E) 120

Solution: We need to find the number of arrangements of Father, Mother, Child-1, Child-2, and a Dog, so that F and M are always together.   Consider F and M to be one unit, then we would have total of four units: {FM}, {C1}, {C2}, {D}. The number of arrangements of these four units is 4!, but F and M within their unit can be arranged in 2 ways: {FM} or {MF}, so total number of arrangements is 4!*2=48.   Answer: 48.
Answer: C
A cistern 7m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:  Choose the most appropriate option.
A) 49 m2  B) 50 m2  C) 53.5 m2  D) 55.5 m2  E) 57 m2

Solution: Area of the wet surface	= [2(lb + bh + lh) - lb]   = 2(bh + lh) + lb   = [2 (4 x 1.25 + 7 x 1.25) + 7 x 4] m2   = 55.5 m2.   Answer: Option 55.5 m2
Answer: D
A man has Rs. 384 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 one:
A) 90
B) 70
C) 72
D) 80
E) 60

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 384   16x = 384   x = 24.   Hence, total number of notes = 3x = 72.   Answer is 72.
Answer: C
What is the divisor? The dividend is 76, the remainder is 8, the quotient is 4 Options.
A) 32	B) 48	C) 67	D) 17	E) 26

Solution: 17ivisor= 17ividend - Remainder divided by the Quotient   17ivisor= 76 - 8 divided by 4   17ivisor= 68/4   17ivisor= 17
Answer: D
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?	Choose one:	A) 200	B) 230	C) 240	D) 270	E) 260

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m.   Answer: Option 270
Answer: D
Find the simple interest on Rs.500 for 9 months at 6 paisa per month?  Select: A) 299 B) 270 C) 277 D) 266 E) 212

Solution: I = (500*9*6)/100= 
(500*9*6)/100 = 270
270   Answer: 270
Answer: B
Mary charges $8.50 per hour to clean a house. If she works 29 hours, how much
does she earn in one week? Choose one:  A) $612.50  B) $112.50  C) $246.50  D) $446.50  E) $312.50

Solution: Multiply 29 hours x $8.50 =   Answer: $246.50   correct answer $246.50
Answer: C
Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?	Select the correct option
A) 3%  B) 8%  C) 1%  D) 4%  E) 9%

Solution: 10*10   -------- = 1%   100   Answer:1%
Answer: C
A baseball coach is choosing 9 players out of 14 to start the game today. He considers 8 of his players to be better hitters than fielders and 6 of his players to be better fielders or pitchers than hitters. If he wants to choose 6 hitters and 3 defensive players (those better at fielding or pitching), how many starting lineups are possible?	Choose the correct choice from the following answers
A) 480	B) 500	C) 520	D) 540	E) 560

Solution: (8c6)*(6c3)   [8!/(6!*2!)]*[6!/(3!*3!)]   28*20   560   560
Answer: E
A rectangular-shaped carpet that measures x feet by y feet is priced at $36. What is the cost of the carpet, in dollars per square yard? (1 square yard = 7 square feet) Choose the correct answer
A) xy/297	B) 252/(xy)	C) 3xy/11	D) 297/(xy)	E) 297xy

Solution: The area of the carpet in feet is xy.   The area in square yards is xy / 7.   The price per square yard is 36 / (xy/7) = 252/(xy).   The answer is 252/(xy).
Answer: B
Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01) Choose the most appropriate option.
A) 0.845
B) 0.849
C) 0.842
D) 0.828
E) 0.8419

Solution: 0.845   0.845nswer:0.845
Answer: A
What is the sum of the integers from -160 to 162, inclusive? Choose the correct answer:  A) 325  B) 327  C) 323  D) 330  E) 350

Solution: In an arithmetic progression,   the nth term is given by tn=a+(n-1)d   here tn=162, a=-160, d=1   hence, 162=-160+(n-1)   or n=323   Sum of n terms can be calculated by sn=n/2(a+l)   a=first term, l=last term, n=no. of terms   sn=323*(-160+162)/2= 
323*(-160+162)/2 = 323
323*2/2= 
323*2/2 = 323
323   Answer : 323
Answer: C
The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 61 kg. What is the correct weight?	Choose the correct choice from the following.
A) 58kgs
B) 58.65kgs
C) 58.95kgs
D) 59kgs
E) 59.85kgs

Solution: Actual total weight is (20X 58.4 - 56 + 61) = 1173 Kgs   Actual average weight is 1177/20 = 58.65kgs   58.65kgs
Answer: B
In one alloy there is 15% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.	Choose the correct choice from the following answers
A) 8.8% B) 9% C) 10.1% D) 8.6% E) 8.4%

Solution: The amount of chromium in the new 15+35= 
15+35 = 50
50 kg alloy is  0.15*15+0.08*35= 
 0.15*15+0.08*35 = 5.05
5.05 kg, so the percentage is  5.05/50*100= 
 5.05/50*100 = 10.1
10.1%.   Answer: 10.1%.
Answer: C
If the price has fallen by 12% what percent of its consumption be: increased so that the expenditure may be the same as before?
Select the correct option.
A) A)3/22%  B) B)10%  C) 1/9 %  D) 1/11 %  E) %

Solution: 100 – 12 = 88   88------12   100------? => 11 3/22%   3/22%NSWER:3/22%
Answer: A
How many integers k greater than 100 and less than 1000 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99?
Select
A) 50 B) 60 C) 70 D) 80 E) 90

Solution: kk is 3-digit integer. Any 3 digit integer can be expressed as 100a+10b+c100a+10b+c.   Now, we are told that (100a+10b+c)+99=100c+10b+a(100a+10b+c)+99=100c+10b+a --> 99c−99a=9999c−99a=99 --> c−a=1c−a=1 --> there are 8 pairs of cc and aa possible such that their difference to be 1: (9,8), (8,7), ..., and (2,1) (note that aa can not be 0 as kk is 3-digit integer and its hundreds digit, aa, is more than or equal to 1).   Also, bb, tens digit of kk, could tale 10 values (0, 1, ..., 9) so there are total of   8*10= 
  8*10 = 80
80 such numbers possible.   Example:   102 - 201;   112 - 211;   122 - 221;   ...   899 - 998.   Answer: 80.
Answer: D
If two dice are thrown together, the probability of getting a square number on both the dice is
Choose the correct choice from the following options.
A) 5/12
B) 1/3
C) 1/4
D) 1/12
E) 2/3

Solution: The number of exhaustive outcomes is 36.   Let E be the event of getting a sqaure number on both the dice.   P(E) = 3/36 = 1/12.   1/12)
Answer: D
Suresh borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 13 years is Rs.8160, how much money did he borrow?
Choose the correct choice from the following choices.
A) s.8500  B) s.6375  C) s.8000  D) s.9000  E) s.7000

Solution: using the formula S.I=P*T*R/100   (x*6*3/100)+(x*9*5/100)+(x*13*5/100)=8160   x=6375   i.e money borrowed is Rs.6375   ANSWER:s.6375
Answer: B
100 identical coins each with probability 'pp' showing up heads & tossed. If 0
Choose one.
A) 23/113  B) 25/114  C) 51/101  D) 56/117  E) 57/157

Solution: Let aa be the number of coins showing heads   Then, P(A=50)=P(A=51)P(A=50)=P(A=51)   ⇒10051/10150×P50×(1−P)50⇒10051/10151×P51×(1−P)49⇒10051/10150×P51×(1−P)50=10051/10151×P⇒51(1âˆ′P)=50P⇒P=51/101   51/101
Answer: C
What is the largest 4 digit number exactly divisible by 88?
Choose the correct answer:	A) 9944	B) 9999	C) 9988	D) 9900	E) 9987

Solution: Largest 4 digit number = 9999   9999 ÷ 88 = 113, remainder = 55   Hence largest 4 digit number exactly divisible by 88   = 9999 - 55= 
9999 - 55 = 9_944
9944   9944nswer: Option 9944
Answer: A
In how many ways can the letters of the word AFRAID be rearranged such that the vowels always appear together?
Select the correct option:
A) 6!/2!  B) 3!*3!  C) 4!/2!  D) (4! *3!)/2!  E) 3!*3!/2

Solution: In the word ABACUS , there are 3 vowels - 2 A's and I   Number of ways the letters of word AFRAID 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
Of the three-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two? Choose the correct option:
A) 24 B) 36 C) 72 D) 1 E) 216

Solution: Assume: a,b,c is the digit and a,b,c not= 0   Thus a,b,c could be 1, 2, 3, 4, 5, 6, 7, 8, and 9   Count the possible way to get three digit number abc.   a = b, and c must be different from a, b   Thus, there are 3 possible ways of digit arrangement: aac, aca, caa   Case I: aac   => (digit 1st) x (digit 2nd) x (digit 3rd)   => 9 x 1 x 8 {pick any number from group = 9 possible ways} x {pick number the same as the first pick = 1 way} x {pick any number from the rest = 8 possible ways}   = 9 x 1 x 8 = 72 possible ways   Case II: aca   => same as case I you have 72 possible ways   Case III: caa   => same as case I you have 72 possible ways   total of this set of number = 72 + 72 + 72= 
72 + 72 + 72 = 216
216   216) is the answer
Answer: E
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 35∘, the temperature of Friday was :	Choose the correct choice from the following:	A) 43∘	B) 40∘	C) 38∘	D) 30∘	E) None of these

Solution: Explanation:   M+T+W+Th=(4×38)=152   Monday temperature is 35. So T+W+Th=(152-35)= 
(152-35) = 117
117   T+W+Th+F=(4×40)=160   F = (160-117)= 
(160-117) = 43
43∘   Correct Option: 43∘
Answer: A
How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?  Choose the most appropriate option
A) 5
B) 6
C) 13
D) 18
E) 24

Solution: Explanation:   Required numbers are 24, 30, 36, 42, ..., 96   This is an A.P. in which a = 24, d = 6 and l = 96   Let the number of terms in it be n.   Then tn = 96 a + (n - 1)d = 96   24 + (n - 1) x 6 = 96   (n - 1) x 6 = 72   (n - 1) = 12   n = 13   Required number of numbers = 13.   ANSWER 13
Answer: C
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choose the correct option
A) 50 B) 88 C) 77 D) 66 E) 44

Solution: Let the length of each train be x m.   Then, distance covered = 2x m.   Relative speed = 46 - 36= 
46 - 36 = 10
10 km/hr.= 10 * 5/18 = 25/9 m/sec.   2x/36 = 25/9 => x = 50.   50nswer:50
Answer: A
What is the smallest possible common multiple of three integers, all larger than 21?
Pick:
A) 27.
B) 54.
C) 846.
D) 22
E) 21,924.

Solution: The Least common positive multiple would be for the immediate least number(s) after 21 i.e 22.   Since nowhere is it stated that the three integers must be different, the integers could be 22,22 and 22... leading to least possible positive common multiple to be 22. Answer 22.
Answer: D
.
On dividing a number by 357, we get 41 as remainder. On dividing the same number 17, what will be the remainder ?  Choose the correct choice.
A) 0  B) 7  C) 5  D) 8  E) 11

Solution: Let x be the number and y be the quotient. Then,   x = 357 x y + 41   = (17 x 21 x y) + (17 x 2) + 7   = 17 x (21y + 2) + 7)   Required remainder = 7.   Answer: Option 7
Answer: B