MU-NLPC/Calc-aqua_rat huggingface dataset:
Mona and Donald fly to Rome for the weekend. They take cash only in notes of $10 and notes of €10. Mona carries three times the amount of euros Donald carries. She also carries as many dollars as Donald carries. The number of €10 notes they take is double the number of $10 notes they take. If Donald carries a total of 42 notes (of either $10 or €10,) then what is the total number of notes (of either $10 or €10,) they take? Choose the correct choice from the following answers
A) 70 B) 80 C) 100 D) 140 E) 150

Solution: let e10 =x no. d10 =y no. donald is having x+y notes mona carries 3x+y again x =2y or donald x+y =42   or 3y =42 y =14 ;x =28 , total notes they carry = 4x+2y = 112+28= 
112+28 = 140
140   140
Answer: D
A fair price shopkeeper takes 10% profit on his goods. He lost 30% goods during theft. His loss percent is:  Pick one
A) 23%	B) 42%	C) 32%	D) 12%	E) 22%

Solution: Explanation:   Suppose he has 100 items. Let C.P. of each item be Re. 1.   Total cost = Rs. 100. Number of items left after theft = 70.   S.P. of each item = Rs. 1.10   Total sale = 1.10 * 70 = Rs. 77   Hence, loss % = 23/100 * 100= 
23/100 * 100 = 23
23%   23%nswer:23%
Answer: A
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?	Choose the correct choice from the following.
A) 1887	B) 9977	C) 4312	D) 2976	E) 26612

Solution: Let the radii of the smaller and the larger circles be s m and l m respectively.   2∏s = 264 and 2∏l = 352   s = 264/2∏ and l = 352/2∏   Difference between the areas = ∏l2 - ∏s2   = ∏{1762/∏2 - 1322/∏2}   = 1762/∏ - 1322/∏   = (176 - 132)(176 + 132)/∏   = (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m   Answer: 4312
Answer: C
If 2|2 –s| = 5, what is the sum of all the possible values for s ?  Choose the correct choice from the following choices.
A) 1/2 B) 2 C) 5/2 D) 4 E) 5

Solution: if s<2, then 2-s=5/2; s=-1/2   if s>2 , then s-2=5/2; s=9/2   9/2-1/2=8/2= 
8/2 = 4
4=4
Answer: D
How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?	Choose the most appropriate option.
A) 54 sec	B) 65 sec	C) 25 sec	D) 45 sec	E) 24 sec

Solution: D = 100 + 150= 
100 + 150 = 250
250   S= 36 * 5/18= 
36 * 5/18 = 10
10 mps   T= 250/10= 
250/10 = 25
25 sec   Answer:25 sec
Answer: C
If x is a number such that x^2 + 4x - 5 = 0 and x^2 + x - 20 = 0, then x =  Choose the correct choice from the following choices.
A) 1  B) -4  C) 4  D) -5  E) 5

Solution: x^2 + 4x - 5 = (x+5)(x-1) = 0   Then x=-5 or x=1.   x^2 + x - 20 = (x-4)(x+5) = 0   Then x=4 or x=-5.   Thus x=-5.   The answer is -5.
Answer: D
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? Select the correct option:	A) 2.91 km	B) 2.88 km	C) 2.78 km	D) 2.98 km	E) 2.87 km

Solution: M = 6   S = 1.2   DS = 6 + 1.2= 
6 + 1.2 = 7.2
7.2   US= 6 - 1.2= 
6 - 1.2 = 4.8
4.8   x/7.2 + x/4.8= 1   x = 2.88   Answer: 2.88 km
Answer: B
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 18m/h. what is the speed of the person while he was going to his office?  Choose the most appropriate option:
A) 8km/h  B) 9km/h  C) 10km/h  D) 11km/h  E) 12km/h

Solution: u = k , v= 3k   \inline \therefore \frac{2uv}{u+v}\: \: \Rightarrow \frac{2\times k\times 3k}{(k+3k)}=18   \inline \Rightarrow 1.5k = 18   \inline \Rightarrow k=12km/h   12km/h
Answer: E
In the Hillside summer camp there are 50 kids. 90% of the kids are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of kids in the camp. How many more boys must she bring to make that happen?  Choose the most appropriate option:
A) 50.	B) 45.	C) 40.	D) 30.	E) 25.

Solution: Given there are 50 kids , 90% of 50 = 45 boys and remaining 5 girls.   Now here 90% are Boys and 10% are Girls.   Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%..   If we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it.   Now boys are 95% and girls are 5%. ( out of 100 students = 95 boys + 5 girls ).   IMO option 50. is correct.
Answer: A
A dealer purchased toys at 1/2 of their list price and sold them for 10% more than the list price. What is his percent gain?	Choose the correct choice from the following
A) 10  B) 50  C) 110  D) 120  E) 220

Solution: Cost = 1/2= 
1/2 = 1/2 = around 0.5
.5*LSale= 1.10 List Price = 1.10*LGain Ratio = (Sale - Cost) / Cost = (1.10*L - .5*L) / .5*L = .6*L / .5*L = 1.20Gain Percent = 100 * Gain Ratio = 100 * 1.20= 
100 * 1.20 = 120
120%= Answer 120
Answer: D
A man sitting in a train which is travelling at 50 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.	Select the correct option
A) 62 kmph
B) 58 kmph
C) 52 kmph
D) 50 kmph
E) None of these

Solution: Relative speed = (280⁄9) m/sec = (280⁄9 × 18⁄5) kmph   = 112 kmph.   ∴ Speed of goods train = (112 – 50) kmph = 62 kmph.   62 kmphnswer 62 kmph
Answer: A
A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 550 dollars, and, in a third, loses 120. In the end he finds he has gained 300 dollars, by the three together. How much did he gain or lose bv the first ?  Pick one:
A) -130  B) 120  C) 130  D) -80  E) None

Solution: In this sum, as the profit and loss are opposite in their nature, they must be distinguished by contrary signs. If the profit is marked +, the loss must be -.   Let x = the sum required.   Then according to the statement x + 550 - 120 = 300   And x = -130.   -130nswer -130
Answer: A
The ratio between x and y is 7/9; x is increased by 4 and y is decreased by 4, what is the ratio between the new values of x and y?
Choose the correct choice:
A) 7/9
B) 14/9
C) 7/18
D) 11/13
E) It Cannot Be Determined

Solution: Ratio = 7k/9k = 7/9, 14/18, etc.   x is increased by 4 and y is decreased by 4--> (7k + 4)/(9k - 4)   New ratio can be 11/15, 18/14, etc.   Answer: It Cannot Be Determined
Answer: E
There is rain all over the city at a rate of 7 centimeters per hour. If a person is waiting in his house for the rain to stop how long did he wait to go out. The rain water filled a bucket of 28 centimeters depth and 200 square meters area?	Choose the correct choice from the following choices.
A) 5 hours 14 minutes B) 6 hours C) 4 hours D) 8 hours E) 12 hours

Solution: Answer is : C, 4 hours   The volume of the bucket is irrelevant and only height matters since rain fell all over the city.   Thus, it takes only 28 / 7= 
28 / 7 = 4
4 hours of rain to fill the bucket
Answer: C
16 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?  Options
A) 23 B) 27 C) 20 D) 27 E) 11

Solution: 16 * 25 = 20 * x => x = 20 days   Answer:20
Answer: C
in a soap company a soap is manufactured with 11 parts.for making one soap you will get 1 part as scrap.at the end of the day you have 251 such scraps.from that how many soaps can be manufactured? Select the correct option:
A) 24
B) 25
C) 26
D) 27
E) 28

Solution: Using 251 scraps we make = 22 soaps. (i.e., 11*22 = 242)Remaining scraps = 9.   Again, 22 soaps produce = 22 scraps.   So, now we have  22+9= 
 22+9 = 31
31 scraps remaining.   Using 31 scraps we make 2 soaps and 2scraps remaining.(i.e., 2*11=22)   Again, that 2 soaps produce = 2 scraps. And already we have 9 scraps. Total  9+2= 
 9+2 = 11
11sscraps.   By using 11 scraps, we make 1 soap.   So, total= 22+2+1= 
22+2+1 = 25
25 soaps we produce.   ANSWER:25
Answer: B
The average (arithmetic mean) of all scores on a certain algebra test was 90. If the average of the 8 male students’ grades was 82, and the average of the female students’ grades was 92, how many female students took the test? Choose the correct choice
A) 8  B) 9  C) 10  D) 21  E) 32

Solution: Total Marks of male = M   Total Marks of female = F   Number of males = 8   Number of females = f   Given: (M+F)/(8+f) = 90 -------------1   Also given, M/8 = 82 Thus M = 656 ---------2   Also, F/f = 92 thus F = 92 F - --------3   Put 2 and 3 in 1: we get   (656+92f)/(8+f) = 90   solving this we get f = 32   Ans: 32
Answer: E
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Answers:	A) 3.5	B) 4.5	C) 5.6	D) 6.5	E) None

Solution: Solution   C.P of 1 toy	= Rs.(375/12)   = Rs.31.25   S.P of 1 toy	= Rs.33.   Therefore,Profit	= (1.75/31.25×100)%   =(28/5)= 
(28/5) = 28/5 = around 5.6
5.6%.   Answer 5.6
Answer: C
If the function f(x) is defined for all real numbers x as the maximum value of 2x + 2 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 2x + 2 ?
Options:
A) –4
B) –8
C) –11
D) –13
E) –19

Solution: Since f(x) defines maximum of 2x + 2 and 12 + 3x,   to find those x when 2x+2 has greater value,   2x + 2 > 12 + 3x   or x < -10   Only value that satisfy this is -11.   Answer is (–11),
Answer: C
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Select:  A) 45 km/hr  B) 50 km/hr  C) 54 km/hr  D) 55 km/hr  E) 58 km/hr

Solution: Speed of the train relative to man = 125/10	m/sec   = 25/2	m/sec.   2   = 25/2	x	18/5	km/hr   = 45 km/hr.   Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.   x - 5 = 45 x = 50 km/hr.   Option 50 km/hr
Answer: B
The average (arithmetic mean) of eight numbers is 48.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
Choose the correct choice from the following choices
A) 12.8  B) 24.2  C) 56.6  D) 72.1  E) 96.8

Solution: arithmetic mean = sum / total numbers   sum = 48.1 * 8= 
48.1 * 8 = 384.8
384.8   sum of half of these numbers is 158.4. So, 4 numbers sum is 158.4. Rest 4 numbers sum= 384.8-158.4= 
384.8-158.4 = 226.4
226.4   Arithmetic mean of the 4 nos= 226.4/4= 
226.4/4 = 56.6
56.6   Hence, 56.6 is the answer.
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 most appropriate option:
A) 9%loss  B) 7%loss  C) 8%loss  D) 5%loss  E) 1%loss

Solution: (30*30)/100= 
(30*30)/100 = 9
9%loss   9%lossnswer: 9%loss
Answer: A
How many possible ways can 2 girls (Rebecca, Kate, Ashley) go on a date with 3 boys (Peter, Kyle, Sam)?
Select the correct option:
A) 3  B) 4  C) 5  D) 6  E) 8

Solution: Any one girl can go with 3 boys.   2nd girl can go with remaining 2 boys   3*2 i.e 6 (6) is the answer
Answer: D
5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning? Choose the correct choice
A) 4400 B) 3000 C) 4200 D) 5000 E) 5500

Solution: X * (95/100) * (85/100) = 3553   X = 4400   4400NSWER 4400
Answer: A
If a - b = 3, a^2 + b^2 = 29 ,find the value of ab.	Choose the correct answer: A) 10 B) 12 C) 15 D) 18 E) 19

Solution: Explanation:   2ab = (a^2 + b^2) - (a - b)^2 = 29 - 9= 
29 - 9 = 20
20=> ab = 10..   10nswer: 10
Answer: A
On a sum of money, the simple interest for 2 years is Rs. 660,while the compound interest is Rs.696.30,the rate of interest being the same in both the cases. The rate of interest is  Select.
A) 23
B) 11
C) 378
D) 36
E) 29

Solution: Explanation:   Difference in C.I and S.I for 2 years   = Rs(696.30-660)   =Rs. 36.30.   S.I for one years = Rs330.   S.I on Rs.330 for 1 year =Rs. 36.30   Rate   = (100x36.30/330x1)%   = 11%   Answer: 11) 11%
Answer: B
Walking at 6/7th of his usual speed, a man is 25 mins too late. His usual time is  Choose the correct answer
A) 7.5 hrs  B) 1.5 hrs  C) 2.5 hrs  D) 1.67 hrs  E) 2.67 hrs

Solution: As the distance is same s*t=6/7s*(t+25)   solving this we get t=150 sec    150/60= 
 150/60 = 5/2 = around 2.5
2.5 hrs   ANSWER:2.5 hrs
Answer: C
A shop purchased a pair of shoes for $150 and was selling it at a price that equaled the purchase price of the shoes plus a markup that was 25 percent of the selling price. After some time a shop owner decided to decrease the selling price by 20 percent. What was the shop's gross profit on this sale? Choose the correct choice from the following options.
A) $0
B) $2
C) $10
D) $6
E) $8

Solution: Sale Price(SP) = 150 + Markup(MP)   --> Mp = SP-150   and given MP=SP/4 ( 25% is 1/4th)   so SP/4= SP-150   3SP/4= 150   SP=200   Now a discount of 20% is given so NEW SP is .8 *200= 
.8 *200 = 160
160   Profit=160-150= 
160-150 = 10
$10   Answer is $10
Answer: C
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black? Choose the correct choice from the following options:
A) 31/111
B) 36/145
C) 21/115
D) 11/154
E) None of these

Solution: The probability that first ball is white:   =12C130C1=12C130C1   =1230=1230   =25=25   Since, the ball is not replaced; hence the number of balls left in bag is 29.   Hence, the probability the second ball is black:   =18C129C1=18C129C1   =1829=1829   Required probability,   =(25)×(1829)=(25)×(1829)   =36/145   36/145
Answer: B
What is the sum of all the odd numbers between 24 and 50, inclusive?
Pick one.
A) 592
B) 481
C) 330
D) 475
E) 483

Solution: To solve this problem, all you have to do is take every even number between 24 and 50 and add them together. So we have 25+27+29+31+33+35+37+39+41+43+45+47+49, which is 481.   Final Answer:   481
Answer: B
A shipment of 8 TV sets contains 5 black and white sets and 3 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?	Select.
A) 1/7
B) 1/4
C) 5/14
D) 25/28
E) 13/28

Solution: 3/8 * 2/7 = 6/56   1-(6/56) = 50/56 = 25/28   Answer 25/28
Answer: D
What approximate value should come in place of the question mark (?) in the following equation?
1.542 × 2408.69 + 5134.632 = ?
Choose the correct choice:	A) 4600	B) 4800	C) 5200	D) 6400	E) 8800

Solution: 8800xplanation   3700 + 5100= 
  3700 + 5100 = 8_800
8800   Answer 8800
Answer: E
In a contest, a bowl contains 9 keys, one of which will open a treasure chest and eight of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Ram is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that he wins the prize?	Answers.
A) 2/9
B) 13/2
C) 15/4
D) 16/15
E) None

Solution: The total possibilities existing while withdrawing two keys are: 9C2 = 36   For Ram to win, 8 combinations exist assuming Key 1 to unlock the treasure E.g(1,2), (1,3)....(1,8)   P = 8/36 = 2/9   Option 2/9
Answer: A
Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 5. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich? Pick:
A) (4m+15)/[m(m-5)]	B) (8m-15)/[m(m-5)]	C) (10m-15)/[m(m-5)]	D) (4m-15)/[m(m-5)]	E) (12m-15)/[m(m-5)]

Solution: Three of the sandwiches were evenly divided among the students   i.e. Amount of Sandwiches with each students = 3/m   Amount of 4th Sandwich with remaining (m-5) students = 1/(m-5)   The amount of Sandwich that carol ate = 3/m + 1/(m-5) = (3m-15+m)/[m(m-5)] = (4m-15)/[m(m-5)]   Answer: (4m-15)/[m(m-5)]
Answer: D
The average of five numbers is 20. If one number is excluded, the average becomes 18. The excluded number is?  Choose the correct answer.
A) 25
B) 28
C) 32
D) 40
E) 16

Solution: Excluded number = 20*5-18*4 = 100-72= 
100-72 = 28
28   Answer is 28
Answer: B
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?	Choose the correct choice from the following:	A) Rs.24029	B) Rs.24000	C) Rs.24038	D) Rs.24082	E) Rs.24026

Solution: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6   Total profit = Rs. 52000   Share of B = 6/13 (52000) = Rs. 24000   Answer: Rs.24000
Answer: B
An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?	Choose one
A) 160	B) 150	C) 100	D) 80	E) 50

Solution: Say there are A gallons of fuel A in the tank, then there would be 200-A gallons of fuel B.   The amount of ethanol in A gallons of fuel A is 0.12A;   The amount of ethanol in 200-A gallons of fuel B is 0.16(200-A);   Since the total amount of ethanol is 30 gallons then 0.12A+0.16(200-A)=30 --> A=50.   Answer: 50.
Answer: E
At the Widget factory, 20 percent of the employees are engineers and 50 percent are builders. If there are 57 other employees at the Widget factory, how many total employees work there?  Choices.
A) 190	B) 180	C) 160	D) 200	E) 400

Solution: Let the total number of employees in the factory be x   % of engineers = 20%   % of builders = 50%   % of other employees = 100% - 70% = 30%   But this number is given as 57   so 30% of x 100  - 70= 
100  - 70 = 30
30%   But this number is given as 57   so 30% of x= 57   x = (57)(100/30) = 570/3= 
570/3 = 190
190   Therefore there a total of 190 employees in the Widget factory.   Correct answer - 190
Answer: A
The value of P, when 4864 x 9P2 is divisible by 12, is:
Choose the correct choice from the following options:
A) 2  B) 5  C) 8  D) 9  E) None of these

Solution: Since 4864 is divisible by 4, so 9P2 must be divisible by 3.   Therefore (11+P) must be divisible by 3.   Therefore least value of P is 1   Answer: None of these
Answer: E
A can do a piece of work in 80 days. He works at it for 10 days & then B alone
finishes the remaining work in 42 days. In how much time will A and B, working
together, finish the work?	Answers
A) 30	B) 120	C) 150	D) 41	E) 50

Solution: Work done by A in 10 days=10/80=1/8   Remaining work=(1-(1/8))=7/8   Now, work will be done by B in 42 days.   Whole work will be done by B in   (42*8/7)= 
  (42*8/7) = 48
48 days   Therefore, A's one day's work=1/80   B’s one day's work=1/48   (A+B)'s one day's work=1/80+1/48=8/240=1/30   Hence, both will finish the work in 30 days.   30NSWER 30
Answer: A
If x, y, and z are positive integers and x^2 = y^2 + z^2, which of the following must be true?
I. x > z
II. x = y + z
III. y^2 + z^2 is a positive integer	Pick
A) I only B) II only C) III only D) I and II only E) I and III only

Solution: x^2 = y^2 + z^2 is the equation for the Pythagorean theorem.   I. x > z -> always true since hypotenuse is the longest side   II. x = y + z -> never true since the length of any side of a triangle is less than the sum of length of other two sides   III. y^2 + z^2 is a positive integer -> true in this case since it is given that y and z are positive integers   Answer (E).   I and III only is the correct answer
Answer: E
What is the number of integers from 1 to 1000 (inclusive) that are divisible by neither 11 nor by 35?	Choose the most appropriate option:  A) 884  B) 890  C) 892  D) 910  E) 945

Solution: Number divisible by 11:-   1000/11= 90   numbers divisible by 35:-   1000/35= 28   Numbers divisible by both 11 and 35= 2   Total numbers divisible by both 11 and 28= 90+28-2= 
90+28-2 = 116
116 (because we counted 2 in both 90 and 28)   Total numbers not divisible by 11 or 35= 1000-116= 
1000-116 = 884
884   884nswer : 884
Answer: A
If 8 men or 12 women can do a piece of work in 30 days, in how many days can the same work be done by 6 men and 11 women?
Pick.
A) 10 days
B) 11 days
C) 13 days
D) 15 days
E) 18 days

Solution: 8men = 12women (i.e 2men = 3women)   12women 1 day work= 1/30   soln:   6men(9women)+ 11women=20women=?   1 women 1 day work =12*30= 1/360   so, 20 women work= 20/360=1/18   ans: 18 days   ANSW18 daysR:18 days
Answer: E
Of a set of 30 numbers, average of 1st 10 numbers is equal to average of last 20 numbers. The sum of last 20 numbers is?
Select the correct option:
A) 2 x sum of 1st 60 numbers
B) 2 x sum of 1st 10 numbers
C) 2 x sum of 1st 30 numbers
D) 2 x sum of 1st 20 numbers
E) 6 x sum of 1st 10 numbers

Solution: Let average of first 10 numbers is a. Then sum = 10a   Average of last 10 nmbers also a. Then their sum = 20a   From the options 2 x sum of 1st 10 numbers correct   Answer:2 x sum of 1st 10 numbers
Answer: B
The product of the squares of two positive integers is 100. How many pairs of positive integers satisfy this condition?
Answers.
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: Ans: C - 2 pairs   (xˆ2)(yˆ2) = 100 [square root both sides]   xy = 10   10 = 1x10, 10x1, 2x5, 5x2   Cancel the repeats   This leaves us with exactly 2 options.   Hence, 2
Answer: C
What is the sum of 60 consecutive integers from -30 inclusive, in a increasing order?
Choose the correct answer:
A) -29
B) 29
C) -30
D) 30
E) 60

Solution: From -39 to -1 --> 30 nos.   zero --> 1 number   from +1 to +29 --> 29 nos.   When we add up nos. from -30 to +29 sum will be -30 for total 60 numbers.   -30 is the answer.
Answer: C
A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 156 pounds?  Choose the correct answer:
A) 18
B) 7
C) 12
D) 9
E) none of the above

Solution: 18ns is 18:   39 pounds --> 6 days   91 pounds --> x days   x = 156*6/39= 
156*6/39 = 24
24   the animal has already consumed food in 6 days so the the number of   days for it's total consumption be 156 pounds is   24-6= 
  24-6 = 18
18
Answer: A
John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?	Choose the correct choice from the following answers:
A) 16%
B) 16.66%
C) 18%
D) 21%
E) 40%

Solution: Increase = (20/50)*100= 
(20/50)*100 = 40
40%.   40%
Answer: E
Which of the following fractions can be written as the difference of reciprocals of two consecutive integers Choices:
A) 1/20 B) 7/30 C) 1/45 D) 13/56 E) 12/72

Solution: Difference of reciprocals means 1 has to be in the numerator;   So option BD can be ignored   For option A, BE, we require to search two consecutive numbers whose product is the denominator   20= 4 * 5 ......... 1/20nswer   1/20nswer = 1/20
Answer: A
What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
Pick.
A) 196 B) 630 C) 680 D) 780 E) 960

Solution: L.C.M. of 12, 18, 21 30 2 | 12 - 18 - 21 - 30   ----------------------------   = 2 x 3 x 2 x 3 x 7 x 5 = 1260. 3 | 6 - 9 - 21 - 15   ----------------------------   Required number = (1260 ÷ 2) | 2 - 3 - 7 - 5   = 630.   Answer: Option 630
Answer: B
The time in a clock is 20 minute past 2. Find the angle between the hands of the clock. Choose the correct choice from the following options:	A) 60 degrees	B) 120 degrees	C) 45 degrees	D) 50 degrees	E) None of these

Solution: Solution:   Time is 2:20. Position of the hands: Hour hand at 2 (nearly).   Minute hand at 4   Angle between 2 and 4 is 60 degrees [(360/12) * (4-2)]   Angle made by the hour hand in 20 minutes is 10 degrees, since it turns through ½ degrees in a minute.   Therefore, angle between the hands is 60 degrees - 10 degrees = 50 degrees   Answer 50 degrees
Answer: D