MU-NLPC/Calc-aqua_rat huggingface dataset:
At a local supermarket, a box of cereal usually costs 22 dollars. This week, the supermarket sells the box of cereal for 11 dollars. How much money will you save if you buy this cereal at this supermarket? Choose the correct choice from the following choices.
A) 11 dollars  B) 13 dollars  C) 14 dollars  D) 12 dollars  E) 10 dollar

Solution: Solution:   In this situation, there is a decrease in the price.   Saving = 22 - 11= 
22 - 11 = 11
11 dollars   Option 11 dollars
Answer: A
243 has been divided into three parts such that half of the first part, one - third of the second part and one - fourth of the third part are equal. The largest part is ?  Choose one.
A) 12628
B) 23488
C) 26688
D) 26667
E) 12672

Solution: Explanation:   Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3.   Reena's share Rs. 31570 * (2 / 5) = Rs. 12628.   12628nswer: 12628) 12628
Answer: A
In a series of football matches, the probability that Team P wins a match against Team Q is 1/5 and the probability that the match ends in a draw is 2/3. If the two teams play five matches, what is the probability that all five matches end in a draw?
Options.
A) 2/3	B) 4/9	C) 8/27	D) 16/81	E) 32/243

Solution: P(5 draws)=(2/3)^5=32/243   The answer is 32/243.
Answer: E
If the sum of a number and its square is 182, what is the number? Choose the correct choice from the following answers
A) 15	B) 26	C) 28	D) 91	E) none of these

Solution: Let the number be x. Then,   x + x2 = 182   (x + 14)(x - 13) = 0   x = 13   ANSWnone of theseR:none of these
Answer: E
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 5 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?	Answers.
A) 7.5 B) 20 C) 30 D) 32 E) 40

Solution: Net part filled in 1 hour = (1/4 - 1/5) = 1/20   The cistern will be filled in 20/1 hrs i.e., 20 hrs.Answer: 20
Answer: B
Mr and Mrs A are opposite to each other.The distance between Mr A and Mrs A are 120 km.The speed of Mr A and Mrs A are 30 kmph, 10 kmph respectively.one Bee is running between Mr A nose to Mrs A nose and returning back to Mr A nose.The speed of Bee is 60 kmph. Then How far Bee traveled? Choose the most appropriate option
A) 160km  B) 170km  C) 180km  D) 190km  E) 130km

Solution: 30x+10X=120   X= 3 hrs   speed of bee=60kmph   distance traveled by bee=speed * time taken=60*3= 
60*3 = 180
180km   ANSWER:180km
Answer: C
x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median W of x, y, and z?
I. 9
II. 10
III. 11	Choose the correct choice from the following: A) I only B) II only C) III only D) I and II only E) I and III only

Solution: Average gives us an idea that 3 nos. are close to 10.   so 10, 10, 10 is an unacceptable option because (z-x =3), but it helps in getting other combinations.   Let us see options.   If 9 has to be median W.   1st term has to less than 9 or equal to 9. (also maintain z-x = 3)   9 9 12 --> satisfies all conditions so 9 can be a median value.   If 11 has to be a median   3rd term has to be 11 or more than 11. (also maintain z-x = 3)   8 11 11 -->satisfies all conditions so 9 can be a median value.   Now for 10 to be median.   z+ x = 20 and z-x = 3, we wont have integer values of z.   10 cannot be a median   I and III only is the answer.
Answer: E
Find the annual income derived by investing $ 6800 in 20% stock at 136.  Choose the most appropriate option:
A) 550 B) 1000 C) 2500 D) 300 E) 4000

Solution: By investing $ 136, income obtained = $ 20.   By investing $ 6800, income obtained = $ [(20/136)*6800= 
(20/136)*6800 = 1_000
$ 1000.   Answer 1000.
Answer: B
If 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 20 percent grape juice then what percent of the resulting mixture is grape juice? Pick.
A) 14%  B) 25%  C) 28%  D) 36%  E) 50%

Solution: OFFICIAL SOLUTION:   If we start with 40 gallons of a mixture that is 10% grape juice, then we have:   40 × 0.20 = 8 gallons of grape juice.   40 × 0.80 = 32 gallons of other components.   If we add 10 gallons of grape juice, we will end up with 18 gallons of grape juice and 32 gallons of other components, and we will have a total of 50 gallons of the mixture.   So 18/50 of the new mixture is grape juice. Now we convert this to a percent:Percent Grape Juice = 18/50 = 36/100= 36%.   The correct answer is choice (36%)
Answer: D
Frances can complete a job in 6 hours, and Joan can complete the same job in 12 hours. Frances starts the job at 9 a.m., and stops working at 1 p.m. If Joan starts working at 4 p.m. to complete the job, at what time is the job finished?  Choose the correct choice from the following answers:
A) 6 p.m.  B) 7 p.m.  C) 12 p.m.  D) 10 p.m.  E) 8 p.m.

Solution: Let the total work be 24 units.   Frances can complete 4 units/hr   Joan can complete 2 units/hr   Work done by Frances in 4 hours is 16 units ; work left for Joan is 8 units ( 24 - 16)   Time required by Jones to complete the remaining work will be   8/2= 
  8/2 = 4
> 4 hours   Given Jones starts at 4 PM , so she would complete the work at 8 PM   Answer will be (8 p.m.)
Answer: E
The population of a bacteria colony doubles every day. If it was started 7 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
Choices:	A) 128	B) 256	C) 512	D) 1024	E) 2048

Solution: 2^7(2) = 2^8 = 256   The answer is 256.
Answer: B
What is the place value of 5 in the numeral 2534? Choose the correct choice from the following
A) 450 B) 500 C) 700 D) 800 E) 840

Solution: Option '500'    5 * 100= 
 5 * 100 = 500
500
Answer: B
A, B and C invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. A left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of B?	Pick one.
A) Rs 690	B) Rs 790	C) Rs 890	D) Rs 990	E) None of these

Solution: Explanation:   A:B:Rs 890 = (8000*6):(4000*8):(8000*8)   = 48:32:64   = 3:2:4   So B share = (2/9)*4005= 
(2/9)*4005 = 890
Rs 890   Option Rs 890
Answer: C
At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ?
Choices
A) 4.58 %
B) 5.96 %
C) 6.52 %
D) 4.98 %
E) None of these

Solution: Explanation:   Difference in amount = 514 - 415= 
514 - 415 = 99
99   99= (415 x 4 x R)/100   R = 5.96%   ANSWER IS 5.96 %
Answer: B
A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 126 in his diary to remember his PIN. He also wrote out the way to calculate 126 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 126".
Once, Prafull saw his diary in which Pinaki wrote this number 126. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?  Pick:  A) 871  B) 873  C) 875  D) 877  E) 879

Solution: Explanation :   Let, the PIN is x.   According to the question,   The card number =996 and Remainder =126.   Thus, (996 × x)/997=126.   =>x= 871.   871nswer : 871
Answer: A
In a certain series, each term is m greater than the previous term. If the 22nd term is 560 and the 19th term is 500, what is the first term? Choose the correct option:
A) 220  B) 240  C) 260  D) 290  E) 305

Solution: a + 21m = 560 (22th term)   a + 18m = 500 (19th term)   You get a = 140 and m = 20   Answer :260
Answer: C
In a college, 1 percent of students hate math, 2 percent of students hate English, 1 percent hate French and 4 percent hate German.
Can you find out the percentage of students who hate all 4 subjects ? Choices.
A) 8% B) 5% C) 7% D) 12% E) 19%

Solution: 8%   8% of student hate all four subjects.
Answer: A
The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?	Select the correct option:
A) 7	B) 8	C) 9	D) 6	E) 4

Solution: 4.5 4.5   30% 70%   30% ----- 4.5   70% ------? => 10.5 - 4.5= 
10.5 - 4.5 = 6
6 ml   Answer: 6
Answer: D
Q. How many 5-digit even numbers less than 3,000,000 can be formed using the following digits: 1, 2, 2, 3, 5?	Choose the correct choice from the following answers:
A) 180
B) 120
C) 210
D) 270
E) 300

Solution: the number is less than 3000000 so we will have the digit on the left most side to be either 1 or 2   i.e your number can be 1 _ _ _ _ _ _ or 2 _ _ _ _ _ _   case 1 > 1 _ _ _ _ _ _ here the units digit can be either 2 or 6   when the units digit is 2 i.e 1 _ _ _ _ _ 2   number of ways this can be done would be 5! / 2! (as 5 is repeated twice) = 60   when the units digit is 6 i.e. 1 _ _ _ _ _ 6, number of ways would be 5!/(2! * 2!) {both 2 and 5 repeat twice} = 30   case 2 > 2 _ _ _ _ _ _ (here units digit may be 2 or 6)   number of ways this can be done would be 5! / (2!) for 2 =60   and 5! / 2! for 6 ... = 60   adding all of these ... gives the answer 120 ...   the explanation looks difficult but this technique helps if you are familiar with the concept of permutations when the numbers/alphabets repeat   120
Answer: B
4 male farmers and 6 female farmers can cultivate a field in 8 days, while 3 male farmers and 7 female farmers can cultivate the field in 10 days. In how many days 10 female farmers can cultivate the same field?
Choices:
A) 10
B) 20
C) 30
D) 40
E) 50

Solution: WORK DONE IN 1 DAY   4M+6F=1/8   3M+7F=1/10   SOLVING THIS WE GET F=1/400   SO IN 10 DAYS,WORK DONE IS 10/400,hence female farmers take 40 days to complete the work.   ANSWER:40
Answer: D
Three persons A, B and C divide a certain amount of money such that A's share is Rs. 4 less than half of the total amount, B's share is Rs. 8 more than half of what is left and finally C takes the rest which is Rs. 14. Find the total amount they initially had with them?  Choose the correct choice from the following answers:	A) 27	B) 92	C) 80	D) 82	E) 83

Solution: Let the total amount be Rs. p.   Let shares of A and B be Rs. x and Rs. y respectively.   C's share was Rs. 14   we have, x + y + 14 = p ----- (1)   From the given data, x = (p/2) - 4 ----- (2)   Remaining amount = p - (p/2 - 4) => p/2 + 4.   y = 1/2(p/2 + 4) + 8 => p/4 + 10 ----- (3)   From (1), (2) and (3)   p/2 - 4 + p/4 + 10 + 14 = p   3p/4 + 20 = p   p/4 = 20 => p = Rs. 80.   Answer: 80
Answer: C
A man's speed with the current is 15 km/hr and the speed of the current is 3.2 km/hr. The man's speed against the current is? Choose the correct choice from the following options
A) 10 B) 20 C) 50 D) 8.6 E) 40

Solution: Man's speed with the current = 15 km/hr   => speed of the man + speed of the current = 15 km/hr   speed of the current is 3.2 km/hr   Hence, speed of the man = 15 - 3.2= 
15 - 3.2 = 11.8
11.8 km/hr   man's speed against the current= speed of the man - speed of the current   = 11.8 - 3.2= 
11.8 - 3.2 = 8.6
8.6 km/hr   Answer is 8.6.
Answer: D
A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student B answers each of the 100 questions on her test and receives a score of 73, how many questions did Student B answer correctly? Choose the correct choice from the following options
A) 55	B) 60	C) 73	D) 82	E) 91

Solution: A score of 73 brings to mind that it is an odd number even though you are subtracting an even number (twice the incorrect responses) out of the correct responses score. So the correct responses score must be an odd number too (Odd - Even = Odd).   Since the overall score is 73, the number of correct responses must be more than 73 since the student answered all questions.   Only 91 satisfies both these conditions.   Answer (91)
Answer: E
A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Pick one:
A) 288 m
B) 256 m
C) 400 m
D) 278 m
E) 287 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (900 + x)/60   = 65/3   x = 400 m.   Answer:400 m
Answer: C
How many times in a day, the hands of a clock are straight?
Select the correct option.
A) 22  B) 24  C) 44  D) 48  E) 52

Solution: In 12 hours, the hands coincide or are in opposite direction 22 times.   In 24 hours, the hands coincide or are in opposite direction 44 times a day.   Answer: Option 44
Answer: C
How many odd numbers are possible between 1 to 1000000? find out the number of odd number of digits?	Choose the most appropriate option:
A) 2999 B) 3500 C) 4000 D) 4599 E) 499999

Solution: There are always one odd and one even no. And the question is odd no. Between 1 to 1000000   So we have to find no. Between 1 to 1000000 so we should not includes 1   1000000/2 -1= 
1000000/2 -1 = 499_999
499999   ANSW499999R:499999
Answer: E
Two trains 120 m and 190 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choose the correct choice:  A) 10.9 sec  B) 11.6 sec  C) 10.6 sec  D) 10.8 sec  E) 20.8 sec

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 120 + 190= 
120 + 190 = 310
310 m.   Required time= 310 * 9/250 = 11.6   = 11.6 sec.   Answer: 11.6 sec
Answer: B
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages? Choose the correct choice
A) 7 hours 15 minutes  B) 8 hours 15 minutes  C) 7 hours 30 minutes  D) 8 hours 30 minutes  E) 8 HOURS 15 MINUTES

Solution: Number of pages typed by Ravi in 1 hour = 32/6 = 16/3 .   Number of pages typed by Kumar in 1 hour = 40/5= 
40/5 = 8
8.   Number of pages typed by both in 1 hour= ( 16/3 + 8 ) = 40/3 .   Therefore Time taken by both to type 110 pages = ( 110 x 3/40 ) hours   = 8 hours 15 minutes. ANSW8 HOURS 15 MINUTESR : 8 HOURS 15 MINUTES
Answer: E
If a car had traveled 20 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 60 km, at what speed did it travel? Answers
A) 35 kmh	B) 40 kmh	C) 50 kmh	D) 60 kmh	E) 65 kmh

Solution: Time = Distance/Speed   Difference in time = 1/2 hrs   60/x - 60/(x + 20) = 1/2   Substitute the value of x from the options. --> x = 40 --> 60/40 - 60/60 = 3/2 - 1 = 1/2   Answer: 40 kmh
Answer: B
SCORE INTERVAL----------------NUMBER OF SCORES
50-59-------------------------- 8
60-69--------------------------10
70-79--------------------------16
80-89--------------------------27
90-99--------------------------18
The table above shows the distribution of test scores for a group of management trainees. Which score interval contains the median of the 79 scores? Options:	A) 39th (80-89)	B) 40th	C) 34th	D) 37th	E) 35th

Solution: Total scores= 8+10+16+27+18= 
8+10+16+27+18 = 79
79, which is odd, therefore the median is the Floor(79/2)+1= 39th score. And the 39th score is in the 80-89 range, because 50-79 only reference 34 scores.   39th (80-89)
Answer: A
A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Pick
A) 1/2
B) 10/21
C) 9/11
D) 7/11
E) 11/15

Solution: Total number of balls = 2 + 3 + 2= 
2 + 3 + 2 = 7
7   Let S be the sample space.   n(S)= Total number of ways of drawing 2 balls out of 7 = 7C2   Let E = Event of drawing 2 balls , none of them is blue.   n(E) = Number of ways of drawing 2 balls , none of them is blue   = Number of ways of drawing 2 balls from the total 5 (=7-2) balls = 5C2   (∵ There are two blue balls in the total 7 balls. Total number of non-blue balls = 7 - 2= 
7 - 2 = 5
5)   P(E)= n(E)/n(S)   =5C2 / 7C2   = (5×42×1)/(7×62×1)   =(5×4)/(7×6)   =10/21   Ans- 10/21
Answer: B
The population of a bacteria colony doubles every day. If it was started 5 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today? Pick one
A) 512	B) 768	C) 64	D) 2048	E) 4096

Solution: 2^5(2) = 2^6 = 64   The answer is 64
Answer: C
In one hour a boat goes 22 km long the stream and 12 km against the stream.The speed of the boat in still water is?
Choose the correct option
A) 17  B) 18  C) 16  D) 15  E) 11

Solution: Speed in still water 17 = ½ ( 22+12) km/hr 17= 17 kmph   17nswer: 17
Answer: A
A vessel of capacity 2 litre has 30% of alcohol and another vessel of capacity 6 litre had 45% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?	Pick one.
A) 31%.
B) 71%.
C) 49%.
D) 33%.
E) 51%.

Solution: 30% of 2 litres = 0.6 litres   45% of 6 litres = 2.7 litres   Therefore, total quantity of alcohol is 3.3 litres.   This mixture is in a 10 litre vessel. Hence, the concentration of alcohol in this 10 litre vessel is 33%   33%.
Answer: D
On an xy-graph, three corners of a
parallelogram are located at (3, 3), (4, – 4),
and (–2, –1). Which of the following points
could be the remaining corner? Choose the correct answer:
A) (8, 0) B) (8, –1) C) (–1, 9) D) (–3, 6) E) (–5, 7)

Solution: A good way to begin is to draw a picture showing the three points given, including   possible places where a fourth point would form a parallelogram. Here’s what your   picture may look like:   y   A   B   C   (4, –4)   (–2, –1)   (3, 3)   x   This figure shows three possible points for the remaining corner of the parallelogram: A, B,   and C. To find the exact coordinates of these three additional points, choose any of the   given points and count up and over (or down and over) to a second given point. Then,   starting from the third given point, count the same number of steps up and over (or down   and over) and label the point where you end up.   By this method, you find that A = (–3, 6), B = (9, 0), and C = (–1, –8). Only point A is listed   as an answer.   correct answer (8, 0))(8, 0)
Answer: A
If 9 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
Choose the correct choice from the following choices:  A) 80  B) 63  C) 120  D) 1008  E) 1260

Solution: parallelogram can formed by 2 horizontal and 2 vertical lines   for horizontal 9c2   for vertical 8c2   total parallelogram is 9 c2*8c2=36*28= 
36*28 = 1_008
1008   ANSWER:1008
Answer: D
If the prime factorization of the integer q can be expressed as a^2xb^xc^3x−1, where a, b, c, and x are distinct positive integers, which of the following could be the total number of factors of q? Pick one.
A) 3j + 4, where j is a positive integer B) 5k + 5, where k is a positive integer C) 6l + 2, where l is a positive integer D) 9m + 7, where m is a positive integer E) 10n + 1, where n is a positive integer

Solution: Straight forward question if you know the formula for number of factors of an integer q=ax∗by∗czq=ax∗by∗cz , where x,y,z≥0 x,y,z≥0 and are integers = (x+1)(y+1)(z+1) including 1 and integer q.   Now given, q= a^2xb^xc^3x−1, thus based on the above formula, the number of factors of q including 1 and q = (2x+1)(x+1)(3x-1+1) = 3x(2x+1)(x+1). So we know that the number will be of the form 3x(2x+1)(x+1) , will be an integer and will be true for ALL X. Thus substitute x=1, we get number of factors = 3*3*2= 
3*3*2 = 18
18 (this eliminates A, as 3 is a factor of 18 and thus can not leave 4 or (4-3=1) as the remainder. Similarly, eliminate C and D).   Now substitute x=2, we get number of factors = 6*5*3= 
6*5*3 = 90
90 and this eliminates E as 10 is a factor of 90 and will leave a remainder of 0. Thus 5k + 5, where k is a positive integer is the only remaining answer choice   ANSWER:5k + 5, where k is a positive integer   .
Answer: B
Which of the following is closest to 10^140 – 10^30 ? Answers.
A) 10^210
B) 10^140
C) 10^150
D) 10^90
E) 10^6

Solution: 10^140 – 10^30   10^30 * (10^110 – 1)   as we know 10^2 - 1 means 100-1 and we get 99, which is approximately 100. hence (10^110 – 1) would remain as 10^110.   and 10^30 * 10^110 = 10^140. Answer is 10^140.
Answer: B
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 500 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day? Choose the most appropriate option:
A) 3600. B) 4860. C) 5780. D) 5760. E) 6380.

Solution: Efficiency per machine = 500 watt/hr   Efficiency due to increase in wind speed = 500*120% => 600 watt/hr   Production by each machine in 2 hours is  600*2= 
 600*2 = 1_200
> 1200 watt   Production by 3 machines=> 1200 watt * 3 = 3600 watt   3600.nswer will be (3600.)
Answer: A
There are 60 people and 3 clubs M, S, and Z in a company. 16 people joined M, 18 people joined S and 11 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not
join any club? Choose the correct choice from the following choices:
A) 22	B) 23	C) 24	D) 25	E) 26

Solution: Answer E.   key is 'atmost' here.   so 16 people joined M.   18 people joined S and 11 people joined Z. to get maximum people who did not join any club, 11 people who joined Z are among 18 people who joined S.   so 18+16= 
18+16 = 34
34   60-34= 
60-34 = 26
26
Answer: E
P cando a work in 15 days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left? Choose the correct choice from the following:
A) 1/15  B) 2/15  C) 8/15  D) 9/15  E) 11/15

Solution: Amount of work P can do in 1 day = 1/15   Amount of work Q can do in 1 day = 1/20   Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60   Amount of work P and Q can together do in 4 days = 4 × (7/60) = 7/15   Fraction of work left = 1 – 7/15= 8/15   8/15
Answer: C
In how many years will a sum of money doubles itself at 12% per annum on simple interest?  Choose one:  A) 15%  B) 20%  C) 10%  D) 8%  E) 22%

Solution: P = (P*12*R)/100   R = 8%   Answer:8%
Answer: D
If x is an integer, find the minimum value of x such that 0.00001154111 x 10^x exceeds 1000.  Pick one.
A) 7
B) 1
C) 8
D) 6
E) 5

Solution: Considering from the left if the decimal point is shifted by 8 places to the right, the number   becomes 1154.111. Therefore, 0.00001154111 x 10x exceeds 1000 when x has a minimum value of 8.   ANSWER:8
Answer: C
Find the surface area of a 8 cm x 4 cm x 2 cm brick.  Choose the correct answer:
A) 136 cu cm	B) 112 cu cm	C) 164 cu cm	D) 180 cu cm	E) None

Solution: Sol.   Surface area = [2(8 x 4 + 4 x 2 + 8 x 2)]   = (2 x 56)   = 112 cu cm   Answer 112 cu cm
Answer: B
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be: Choose one.
A) 43	B) 26	C) 33	D) 21	E) 28

Solution: B   26   Let the number of hens be x and the number of cows be y.   Then, x + y = 48 .... (i)   and 2x + 4y = 140 x + 2y = 70 .... (ii)   Solving (i) and (ii) we get: x = 26, y = 22.   The required answer = 26.
Answer: B
What is the average of two tenths and five thousandths Choose the correct choice from the following options
A) 0.2022
B) 0.3325
C) 0.1025
D) 0.2012
E) 0.2114

Solution: Explanation:   two tenths = 0.2   Five thousandths = 0.005   The average is (0.2 + 0.005)/2= 
(0.2 + 0.005)/2 = 0.1025
0.1025   Answer: 0.1025
Answer: C
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?  Choose the correct choice from the following answers: A) 8 sec B) 6 sec C) 2 sec D) 9 sec E) 3 sec

Solution: Speed of train relative to man   = (60 + 6) km/hr   = 66 km/hr   [66 * 5/18] m/sec   = [55/3] m/sec.   Time taken to pass the man   = [110 * 3/55= 
110 * 3/55 = 6
6 sec   Answer: 6 sec
Answer: B