MU-NLPC/Calc-aqua_rat huggingface dataset:
Find the sum and number of divisors of 544 excluding 1 and 544.  Choose the most appropriate option:
A) 589
B) 599
C) 618
D) 659
E) 648

Solution: if N = p^a * q^b *r^c *...   total no. of factors of N = (a+1)*(b+1)*(c+1)*... &   sum of all of the factors of N =(1+p+p^2+...+p^a)*(1+q+..+q^b)*(1+r+r^2+...+r^c)   544 = 2^5 * 17   number of divisors of 544 excluding 1 and 544 = (5+1)*(1+1) - 2= 
(5+1)*(1+1) - 2 = 10
10   sum of divisors of 544 excluding 1 and 544= (1+2+2^2+2^3+2^4+2^5)*(1+17)-1-544   = 589   589NSWER:589
Answer: A
A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability Q of generating an odd prime digit is between
Choose the most appropriate option:	A) 0 and 1/6	B) 1/6 and 1/3	C) 1/3 and 1/2	D) 1/2 and 2/3	E) 2/3 and 5/6

Solution: K (1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9+ 1/10) =1   Note that 1/10 is least value and is equal to 0.1 so we can write above series as   K (1+0.5+0.3+0.25+0.2+0.16+0.5+residual) = 1   K=1/3+   P (3 or 5 or 7) =K*13/24   Required probability Q= 13/24 × 1/3+ = 4+/24 > 1/6   Answer should be B   P.s. 3+ denotes a value little greater than 3 .   Same for 4+.
Answer: B
In what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way?	Choose the correct choice from the following answers:  A) 3 sec  B) 4 sec  C) 5 sec  D) 6 sec  E) 7 sec

Solution: T = 56/39 * 18/5 = 5 sec   ANSWER:5 sec
Answer: C
In covering a distance of 40 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Choose the correct choice:  A) 5 km/h  B) 6.7 km/h  C) 10 km/h  D) 15 km/h  E) 20 km/h

Solution: Let A's speed be X km/hr.   Then, 40/x - 40/2x = 3   20/x = 3   x = 6.7 km/hr.   Answer : 6.7 km/h
Answer: B
A car travelling with 5/7 km of its actual speed covers 42km in 1hr 40 min 48 sec find the actual speed of the car?
Select the correct option
A) 78kmph  B) 85kmph  C) 35kmph  D) 24kmph  E) 74kmph

Solution: time taken =1hr 40 min 48 sec=126/75hrs   let the actual speed be x kmph   then 5/7 x*126/75=42   x=(42*7*75)/5*126=35kmph   Answer (35kmph)
Answer: C
What is the lowest possible common multiple of 2 distinct integers, each greater than 68? Pick:
A) 68	B) 69	C) 138	D) 68^2	E) 68·69

Solution: In order to get the lowest LCM, we have to take the first number as 69 and the next number as its multiple.   So, I can take 69 and 138 as two distinct numbers, such that Lowest LCM = 138.   Answer should be 138.
Answer: C
Ms. Barton has four children. You are told correctly that she has at least two girls but you are not told which two of her four children are those girls. What is the probability that she also has two boys? (Assume that the probability of having a boy is the same as the probability of having a girl.
Select.
A) 1/4
B) 3/8
C) 5/11
D) 1/2
E) 6/11

Solution: Assume that there are 4 Ms. Barton's children in a row: 1-2-3-4. Let show all possible combinations of them being girl(G) or boy(B) giving that there at least two girls. We are seeing each child 1,2,3,4 a s a unique(so, we distinguish between them)   BBGG   BGBG   GBBG   BGGB   GBGB   GGBB   BGGG   GBGG   GGBG   GGGB   GGGG   Overall 11 variants. 6 of them satisfy the condition of 2 boys exactly (they are highlighted in bold)   Therefore the probability is 6/11   Answer:6/11
Answer: E
What was the principal , if at 12% per annum the interest after 3 years amounted to Rs.5888 less than the sum lent?
Select
A) 9000  B) 3000  C) 5000  D) 1300  E) 9200

Solution: P - 2336 = (P*12*3)/100   P = 9200   Answer: 9200
Answer: E
For one toss of a certain coin, the probability that the outcome is heads is 0.4. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?	Choose the correct answer:  A) (0.4)^5  B) 2(0.4)^4  C) 3(0.4)^4  D) 4(0.4)^4(0.6) + (0.4)^5  E) 5(0.4)^4(0.6) + (0.4)^5

Solution: P(5 heads) = (0.4)^5   There are 5 ways to get 4 heads: HHHHT, HHHTH, HHTHH, HTHHH, THHHH   P(4 heads) = 5*(0.4)^4(0.6)   The answer is 5(0.4)^4(0.6) + (0.4)^5.
Answer: E
For each color copy, Print Shop X charges $1.25 and Print Shop Y charges $2.75. How much greater is the charge for 60 color copies at Print Shop Y than at Print Shop X?  Choose the correct choice from the following:
A) $80
B) $90
C) $100
D) $110
E) $120

Solution: The difference in the two prices is $2.75 - $1.25 = $1.50 for each color copy.   Each color copy will cost an extra $1.50 at Print Shop Y.   60*$1.50 2.75 -  1.25= 
2.75 -  1.25 = 1.5
$1.50 for each color copy.   Each color copy will cost an extra $1.50 at Print Shop Y.   60*$1.50 = $90   The answer is $90.60* 1.50= 
60* 1.50 = 90
$90   The answer is $90.
Answer: B
A box contains 3 white balls, 2 black balls and 6 red balls. In how many ways can 3 balls be drawn from the box, if atleast one black ball is to be included in the draw?
Choose the correct choice from the following choices.
A) 52  B) 69  C) 73  D) 47  E) 81

Solution: We may have (1 black and 2 non black) or (2 black and 1 non black)   Required number of ways = 2C1*9C2+1*9C1 = 81   Answer is 81
Answer: E
Calculate the circumference of a circular field whose radius is 8 centimeters. Choose the correct choice from the following choices
A) 18 π cm
B) 1 π cm
C) 8 π cm
D) 19 π cm
E) 28 π cm

Solution: Circumference C is given by   C = 2πr = 2π*9 = 18 π cm   18 π cmnswer: 18 π cm2 *9= 
2 *9 = 18
18 π cm   18 π cmnswer: 18 π cm
Answer: A
A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the president? Choose the correct choice
A) 1/720
B) 1/5
C) 1/10
D) 1/9
E) 1/6

Solution: This question is much easier than it appears.   Each member out of 10, including Harry, has equal chances to be selected for any of the positions (the sequence of the selection is given just to confuse us). The probability that Harry will be selected to be the secretary is 1/10 and the probability that Harry will be selected to be the president is also 1/10. So, the probability that Harry will be selected to be either the secretary or the the president is 1/10+1/10=2/10.   Answer: 1/5
Answer: B
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of Qis?
Choose the correct choice from the following.
A) A)Rs.4078
B) B)Rs.6100
C) C)Rs.4029
D) D)Rs.4027
E) E)Rs.4020

Solution: Let P, Q and R represent their respective monthly incomes. Then, we have:   P + Q = (5050 * 2)= 
(5050 * 2) = 10_100
10100 --- (i)   Q + R= (6250 * 2)= 
(6250 * 2) = 12_500
12500 --- (ii)   P + R= (5200 * 2)= 
(5200 * 2) = 10_400
10400 --- (iii)   Adding (i), (ii) and (iii), we get:   2(P + Q + R)= 33000 = P + Q + R = 16500 --- (iv)   Subtracting (iii) from (iv), we get, P = 6100.   P's monthly income = Rs.6100.   Answer: Rs.6100
Answer: B
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 32 kmph. Of how many minutes does the train stop per hour?
Choose the correct choice from the following answers:
A) E982  B) 27  C) 17.3  D) 121  E) 28

Solution: Explanation:   T = 13/45 * 60 = 17.3   Answer: Option 17.3
Answer: C
The sum of five numbers is 400. The average of the first two numbers is 50 and the third number is 60. Find the average of the two numbers?  Options:
A) 70 B) 65 C) 85 D) 80 E) 90

Solution: Let the five numbers be P, Q, R, S and T.   => P + Q + R + S + T = 400   (P + Q)/2 = 50 and R = 60   P + Q = 100 and R = 60   P + Q + R = 160   S + T = 400 - (P + Q + R) = 240   Average of the last two numbers   = (S + T)/2 = 80   Answer:80
Answer: D
A man buys a cycle for Rs. 2300 and sells it at a loss of 30%. What is the selling price of the cycle? Choose the correct choice from the following choices.
A) s. 1690	B) s. 1610	C) s. 1890	D) s. 1602	E) s. 1092

Solution: S.P. = 70% of Rs. 2300 = Rs.	70	x 2300/100 = Rs. 1610   Answer: Option s. 1610
Answer: B
If log X/2=log Y/3 = log Z/5, then YZ in terms of X is
Choose the correct choice from the following choices:
A) X
B) X2
C) X3
D) X4
E) None of these

Solution: logX/2 = logY/3= logZ/5 = K(say).   => logX = 2k, logY = 3k, log Z =5K   => logYZ = 3K + 5K = 8k; logX4 3  + 5= 
3  + 5 = 8
8k; logX4= 8K   Thus, logYZ = logX4   =>YZ = X4   ANSWER:X4
Answer: D
How many times are the hands of a clock at right angle in a day? Choices:
A) 22  B) 24  C) 44  D) 48  E) 52

Solution: In 12 hr's the hands of the clk will be right angle for 22 times..   as in 1 hr time the hands of the clk will be right angle fot 2 times.   but in (11'o clk - 1'o clk) time it will right angle only twice(2).   so for 12 hrs time 22 times it will be right angle.   for 24 hrs time 44 times it will be right angle..   ANSWER:44
Answer: C
A cask full of milk,'E' liters is removed and water is mixed. This process is repeated and now the ratio in milk to water is 16:9. Then what is the amount of milk in liter.
Choose the correct choice from the following.
A) E+9
B) 9E
C) 5E
D) 8E
E) cant be determined

Solution: After 'n' operations ,the amount of pure liquid remaining is = [x { ( 1-E/x )^n } ]...where x is original amount of liquid and E is amount of liquid removed..This is standard formula in RS aggarwal...   Now ,in our case the operations is performed twice...   Let the original milk be x liters..   E liters removed twice n = 2,   milk remaining (M) = [ x { (1-E/x)^2 } ]....water is (W) = x - [x { (1-E/x)^2 } ]   M/W = 16/9 Take (1-E/x)^2 = z   now solving we get z = 16/25 that is (1 - E/x)^2 = (4/5)^2   1 - E/x = 4/5   x = 5E   ANSWER:5E
Answer: C
Find the one which does not belong to that group?  Choose the correct answer.
A) 16  B) 36  C) 27  D) 64  E) 4

Solution: Explanation:   16, 36, 64 and 4 are perfect squares but not 27.   Answer:27
Answer: C
4,25,49,121
Select:	A) 149	B) 169	C) 189	D) 209	E) 219

Solution: 13^2= 169 because follow sequence of square of the prime numbers   ANSWER:169
Answer: B
Amy has two decks of 56 cards each: Deck 1 and Deck 2. She takes 8 black cards from Deck 2 and adds them to Deck 1 and shuffles it thoroughly. She now picks a card from the newly formed pack of cards. If the probability of either picking a red ace or a king from the newly formed pack is greater than 1/8, what is the probability that Amy picks a black king or a red Jack from the new pack? Choose the correct choice from the following answers:	A) 1/6	B) 1/8	C) 1/9	D) 1/10	E) 1/13

Solution: Your solution is correct answer should be 1/13.   1/13
Answer: E
A certain barrel, which is a right circular cylinder, is filled to capacity with 60 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in the first barrel is poured into the second barrel, how much empty capacity, in gallons, is left in the second barrel?
Choose the correct choice from the following answers.
A) There is no empty capacity B) 100 gallons C) 300 gallons D) 420 gallons E) 840 gallons

Solution: Radius of first cylinder=r, diameter=2r, height=h   Radius of second cylinder=2r, diamter=2d and height=2h   Volume of first cylinder=pie (r^2)*h=60   Volume of second cylinder=pie(2r^2)2h   Put the value of pie (r^2)*h=60 in the second cylinder,volume= pie (r^2)*4*2=60*8= 
60*8 = 480
480 gallons   Empty capacity=420 gallons   Answer 420 gallons
Answer: D
The length of a bridge in meters, which a train 80-meters long and traveling at 45 km/hr can cross in 30 seconds is?  Choose the most appropriate option.
A) 215
B) 235
C) 255
D) 275
E) 295

Solution: 45 km/h = 45000 m/3600 s = 12.5 m/s   In 30 seconds, the train can go 30(12.5) 45000  /3600= 
45000  /3600 = 25/2 = around 12.5
12.5 m/s   In 30 seconds, the train can go 30(12.5)= 375 meters   Let x be the length of the bridge.   x+80 = 375 meters   x = 295 meters   The answer is 295.
Answer: E
Which of the following is the highest fraction? Choose one:
A) 5⁄7  B) 3⁄4  C) 2⁄3  D) 6⁄7  E) 7⁄8

Solution: Note : If the difference between the numerator and the denominator is constant, then the fraction which has larger value in the numerator is the larger fraction.   Using the above, among the options (a), (c), (d) and (e), (e) has the larger value. Now, compared to option(a), (e) has the larger value.   Answer 7⁄8
Answer: E
People spend an estimated $75 at the zoo every day, and the total estimated amount for bills every month for the nearest zoo is $200,000. To pay its bills, how many people need to be attending the zoo on a weekly basis? The amount of people needs to be rounded to whole numbers, and a month typically has 4 full weeks.	Choose the correct choice from the following answers.
A) 666	B) 667	C) 669	D) 670	E) 665

Solution: To find out our answer, we must think about how much the zoo makes in a week.   So, we divide 200,000 by 4 to get 50,000   We then divide 50,000 by 75 to get our estimate.   Round the answer to the nearest whole number to get the answer.   Correct Option: 667
Answer: B
There are 6 people in the elevator. Their average weight is 156 lbs. Another person enters the elevator, and increases the average weight to 151 lbs. What is the weight of the 7th person.  Choices
A) 121 B) 168 C) 189 D) 190 E) 200

Solution: Solution   Average of 7 people after the last one enters = 151 .   âˆ´ Required weight = (7x151)-(6x156)   = 1057- 936= 
1057- 936 = 121
121.   121nswer 121
Answer: A
In how many ways can 4 boys and 3 girls sit around a table in such a way that no two girls sit together?
Choose the most appropriate option:  A) 100  B) 144  C) 155  D) 180  E) 190

Solution: The 4 boys can be seated around a table in 3! Ways. In between them there are 4 places.   The 3 girls can be placed in the 4 places in 4P3 ways.   Therefore, Required number of ways= 3!* 4P3   =6*24= 
6*24 = 144
144   ANSWER:144
Answer: B
Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 40°C, what is the temperature of the pot of water in °F?
Choose the correct choice from the following choices
A) 85 °F  B) 92 °F  C) 96 °F  D) 99 °F  E) 104 °F

Solution: Let F and C denote the temperature in Fahrenheit and Celsius respectively.   (F - 32) /(212 - 32) = (C - 0)/(100 - 0)   F = 9C/5 + 32   F = 9(40)/5 + 32 = 104°F   The answer is 104 °F.
Answer: E
When x dividedby 288, the remainder is 47. Find the remainder when the same x is divided by 24?
Choices
A) 20	B) 23	C) 25	D) 27	E) 29

Solution: 23   Option 23
Answer: B
A car covers a distance of 636 km in 6 ½ hours. Find its speed?
Choose the correct choice from the following answers:
A) 104 kmph  B) 176 kmph  C) 298 kmph  D) 106 kmph  E) 268 kmph

Solution: 636/6= 
636/6 = 106
106 kmph   Answer:106 kmph
Answer: D
If the sum of the interior angles of a regular polygon measures up to 1260 degrees, then how many sides does the polygon have?	Select the correct option:
A) 10
B) 9
C) 12
D) 11
E) 14

Solution: one of the interior angle = 180 - 360/n   sum of the interior angles is = n (180 - 360/n)   given   n(180 - 360/n)=1260   180n - 360 = 1260   180n = 1620   n = 1620/180= 
1620/180 = 9
9   ANSWER:9
Answer: B
The probability of pulling a black ball out of a glass jar is 1/Q. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
Choose the most appropriate option
A) 1/(XY)
B) Q/Y
C) Y/X
D) 1/(X+Y)
E) 1/(X-Y)

Solution: P of pulling a black ball out of a glass jar AND breaking the jar = 1/Y   P of pulling a black ball out of a glass jar is 1/Q   Lets say P of breaking the jar = n   That means 1/Q*n=1/Y   n= Q/Y   Q/Y is the answer
Answer: B
A cistern can be filled by 3 pipes in 30, 40 and 60 min and emptied by an escape pipe in half an hour the 3 taps are turned on at noon but the escape pipe is at the same time accidentally left open and not closed for a quarter of an hour at what time will the cistern be full?
Choose the correct answer:  A) 60 min  B) 90 min  C) 120 min  D) 150 min  E) 170 min

Solution: Explanation:   Let the total time be x min   x/30 + x/40 + x/60 – x/15 = 1   => x = 120 min   Answer: Option 120 min
Answer: C
The factorial expression 13!/7! is not divisible by which of the following integers? Choose the correct option.
A) 3	B) 5	C) 6	D) 7	E) 9

Solution: 13!/7!   = (13*12 * 11 *10 * 9 * 8 * 7!)/7!   = 13*12 * 11 * 10 * 9*8   The given factorial expression is not divisible by 7   Answer 7
Answer: D
Rahul travels from A to B a distance of 200 miles in 5 hours. He returns to A in 4 hours. Find his average speed? Choose the correct answer: A) 52.2mph B) 61.9mph C) 44.4mph D) 35.7mph E) 65.6mph

Solution: Speed from A to B = 200/5= 
200/5 = 40
40 mph   Speed from B to A= 200/4= 
200/4 = 50
50 mph   Average speed= 2*40*50 / 90 = 44.4mph   Answer is 44.4mph
Answer: C
Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L Choices:
A) 1/3.
B) 1/2.
C) 3.
D) 2.
E) 6.

Solution: Difference = Average   H - L = (H + L)/2,   Solving for H/L gives 3. A quick check, H be 9 and L be 3, 9 - 3 = (9 + 3 )/2   3.
Answer: C
The function f is defined for all the positive integers h by the following rule: f(h) is the number of positive integers each of which is less than h and has no positive factor in common with h other than 1 . if p is a prime number then f(p)?  Choose the correct choice: A) p-1 B) p-2 C) (p+1)/2 D) (p-1)/2 E) 2

Solution: The moment you put a prime number in the function f(h), notice that all the numbers lesser than h have no divisor clashing with divisor of h since h is prime!!.   For instance f(7)= {6, 5, 4, 3, 2, 1}   Thus for f(p) number of integers falling under this set will be p-1   p-1nswer :- p-1
Answer: A
In 24 minutes, the hour hand of a clock moves through an angle of:  Answers.
A) 60°
B) 24°
C) 12°
D) 5°
E) None

Solution: 12 hour = 360˚, 1 hr. = 360/12= 
360/12 = 30
30˚ 60 min= 30˚, 1 min   30/60= 
  30/60 = 1/2 = around 0.5
.5˚ 24 min.= 1/2 ×24 = 12˚   Answer: 12°
Answer: C
A copying machine "P" can copy 135 pages in 9 minutes, P and Q together can copy 300 pages in 12 minutes. In what time Q can copy 80 pages? Choose the correct answer: A) 6 minute B) 7 minute C) 9 minute D) 8 minute E) 10 minute

Solution: P copying 135 pages in 9 minutes.   so in 1 minute P copying=135/9= 
135/9 = 15
15 pages   P and Q both copying 300 pages in 12 minute.   so in 12 minute P coying the 12*15= 
12*15 = 180
180 pages.   so Q copying alone=300-180= 
300-180 = 120
120 pages.   according to question Q takes 12 minute for copying the pages.   so for 1 minute   120/12= 
  120/12 = 10
10 pages.   because for 10 pages takes 1 minute   so 80 pages it's takes 8 minute   so ans is 8 minute.   ANSWER:8 minute
Answer: D
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:
Choose the correct answer
A) 1:2 B) 2:5 C) 6"2 D) 3:1 E) 4:7

Solution: Explanation:   Let speed upstream=x   hen, speed downstream =2x   Speed in still water =2x+x/2   Speed of the stream=2x-x/2   Speed in still water : Speed of the stream=3x/2:x/2=3:1   Answer:3:1
Answer: D
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?  Choose the correct choice from the following choices
A) 39  B) 27  C) 30  D) 98  E) 287

Solution: US = 25   DS = 35   M = (35 + 25)/2= 
(35 + 25)/2 = 30
30   Answer: 30
Answer: C
Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
Pick one:
A) 7!
B) 8!
C) 9!
D) 11!
E) 12!

Solution: Ans.(B)   Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Answer: B
If x^2 > x^7> x^5, which of the following could be the value of x?	Choose the correct choice from the following choices
A) -9	B) -2	C) -5/8	D) 5	E) 9

Solution: x^2 > x^7 > x^5   1)Here we have an even power of a variable (x) that is greater than both a larger odd power of the variable x and a smaller odd power of the variable x.   This can be possible only if the base is negative; therefore, the variable, x, must be a negative number.   2) Now if the variable x is negative, the higher power results in a smaller number if x<-1, and a higher power results in a larger number if 0>x>-1.   With this information, we know that x is a negative number between 0 and -1; therefore, -5/8 (-5/8) is the only option.
Answer: C
Carrie likes to buy t-shirts at the local clothing store. They cost $8.55 each. One day, she bought 9 t-shirts. How much money did she spend?	Select the correct option:	A) $150	B) $248.75	C) $200	D) $171.6	E) $73.1025

Solution: $8.55*9=$73.1025. Answer is $73.1025.
Answer: E
Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?	Choose the correct choice from the following answers:
A) 28%	B) 30%	C) 32%	D) 34%	E) 36%

Solution: Let x be Mork's income, then Mindy's income is 4x.   The total tax paid is 0.4x + 1.0x = 1.4x   1.4x / 5x  0.4  + 1.0= 
 0.4  + 1.0 = 1.4
1.4x   1.4x / 5x = 0.28   The answer is 28%. 1.4  / 5= 
 1.4  / 5 = 0.28
0.28   The answer is 28%.
Answer: A
In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 37 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake? Select the correct option:
A) 36
B) 2^4*3
C) 24
D) 38
E) 47

Solution: Working backward from the day it's covered:   day 37: fully covered   day 36: half covered   So 36 days   36NSWER:36
Answer: A
There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of sections A is 40 kg and that of sections b is 35 kg. Find the average weight of the whole class  Choose the correct choice from the following choices:
A) 36.25
B) 37.25
C) 38.35
D) 39.25
E) None

Solution: Solution   Total weight of(36+44)Students	= (36x40+44x35)Kg   = 2980 kg.   Average weight of the whole class	= (2980 / 80)   = 37.25.   Answer 37.25
Answer: B
Few years ago on 31st January on her 26th birthday a lady laid a baby. Now what's the sum of their ages? Pick:  A) 37  B) 38  C) 43  D) 51  E) 52

Solution: All other options have thier unit place digit odd while we require even digit because before x years she laid a baby. That time she is 26years old   so now sum of thier ages is 26 + 2x. The total should be even number   ANSWER:38
Answer: B
Vikas bought a grinder with 15% discount on the labelled price. He sold the grinder for Rs.2880 with 20% profit on the labelled price. At what price did he buy the grinder?  Select the correct option: A) Rs 2000 B) Rs 2040 C) Rs 2240 D) Rs 2400 E) None of these

Solution: Explanation :   Let the labelled price be Rs.x. Then, 120% of x = 2880   Therefore x=(2880100/120) = 2400.   C.P = 85% of Rs.2400 = Rs(85/100x2400) =Rs.2040.   Answer : Rs 2040
Answer: B
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent? Choose the correct option.
A) 11 1/8%	B) 11 8/9%	C) 11 1/9%	D) 19 1/9%	E) 11 1/1%

Solution: 900 --- 100   100 --- ? => 11 1/9%   Answer: 11 1/9%
Answer: C