MU-NLPC/Calc-aqua_rat huggingface dataset:
A set has exactly five consecutive positive integers starting with 1. What is the percentage decrease in the average of the numbers when the greatest one of the numbers is removed from the set?
Choose one:
A) 8.54 B) 12.56 C) 15.25 D) 16.66 E) None of these

Solution: Explanation :   The average of the five consecutive positive integers 1,2,3,4 and 5 is:   (1+2+3+4+5)/5=15/5= 
15/5 = 3
3.   After removing the the greatest number i.e 5, the new average becomes:   (1+2+3+4)/4=104=2.5.   Now, % drop in the average =(Old average – New average)×100/Old average.   =>(3−2.5)×100/3.   =>100/6=16.66.   Answer : 16.66
Answer: D
In Cricket game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once? Choices
A) 1/3  B) 4/9  C) 5/9  D) 2/3  E) 3/4

Solution: In Cricket game Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:   P(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9.   Answer: 5/9.
Answer: C
Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 108 as interest at the end of the loan period, what was the rate of interest?
Select the correct option
A) 3.6	B) 6	C) 18	D) 3	E) None of these

Solution: Let rate = R% and time = R years.   Then,1200 x R x R/100= 108   12R2 = 108   R2 = 9   R = 3.   Answer:3
Answer: D
There are 2 positive integers x and y. What is the probability that x+y is odd? Choose the most appropriate option
A) 1/4
B) 1/2
C) 1/3
D) 1/5
E) 1/9

Solution: Explanation :   The addition of two integer results in an odd number only if any one of the integers is an odd number.   The probability of an odd among the two integer is 1/2.   Hence, the required probability is 1/2.   Answer : 1/2
Answer: B
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 52, the dividend is:
Select the correct option.
A) 5336	B) 5340	C) 5342	D) 6345	E) 6812

Solution: Divisor = (5 * 52)= 
(5 * 52) = 260
260= 10 * Quotient = Divisor   => Quotient = 260/10= 
260/10 = 26
26   Dividend= (Divisor * Quotient) + Remainder   Dividend = (260 * 26) + 52= 
(260 * 26) + 52 = 6_812
6812.   6812
Answer: E
The product of two numbers is 120 and the sum of their squares is 289. The sum is: Choose the most appropriate option
A) 23
B) 21
C) 43
D) 56
E) 30

Solution: xy = 120 and x2 + y2 = 289.   (x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529   x + y = 529 = 23.   23NSWER 23
Answer: A
2,7,36,4,14,225,6,21,?	Options:
A) 475  B) 576  C) 676  D) 776  E) 876

Solution: 2,7,(x)2, x+3=2+7= 
2+7 = 9
9 x=6   4,14,(y)2 y+3=14+4= 
14+4 = 18
18 y=15   6,21,(z)2 z+3=21+6= 
21+6 = 27
27 z=24 answer=24*24= 
24*24 = 576
576   ANSWER:576
Answer: B
How many digits are in (12×10^14)(10×10^15)?
Choose the correct option
A) 24
B) 25
C) 26
D) 27
E) 32

Solution: The question simplfies to (12×10^14)(10^16)   => 12*10^30   => Will contain 30 zeros +2 digit 12   =>32   Ans 32
Answer: E
An army’s recruitment process included N rounds of selection tasks. For the first A rounds, the rejection percentage was 60 percent per round. For the next B rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. If there were 100000 people who applied for the army and 175 were finally selected, what was the value of N?  Choose the correct choice from the following choices:  A) 4  B) 9  C) 6  D) 8  E) 10

Solution: fastly i reduce 60% till it gets closer to our required 2000 candidates   step(1) 40000 accepted.   step(2) another 40%of 40000=16000 accepted.   here it is quiet observable that if we further deduct candidate by 60% it would change our probablity of easy going 2000 candidate.   so i would get to second stage of recruitment where 50 % is accepted   step(3) 50% of 16000=8000   step(4) 50% of 8000=4000   Step(5) 50% of 4000=2000   Step(6) 50% of 2000=1000   Step(7) 50% of 1000=500   Step(8) 50% of 500=250   Step(9) 70% of 350=175(our target)   total 9 steps required.   Ans 9
Answer: B
If x and y are non-zero integers, and 36x^4 – 4y^4 = 6x^2 + 2y^2, which of the following could be the value of x2 in terms of y?	Choose the correct option.
A) 2y^2+1/6 B) 2y^2+1/8 C) 2y^2+1 D) 2y^2 E) 2y

Solution: 36x^4 – 4y^4 = 6x^2 + 2y^2   (6x^2 + 2y^2) (6x^2 - 2y^2) = 6x^2 + 2y^2   6x^2 - 2y^2 = 1   6x^2 = 2y^2+1   x^2 = 2y^2+1/6   2y^2+1/6nswer : 2y^2+1/6
Answer: A
A and B start from Opladen and Cologne respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between Opladen and Cologne, A and B proceed to their destinations of Cologne and Opladen respectively. A reaches Cologne 40 minutes after the two meet and B reaches Opladen 100 minutes after their meeting. How long did A take to cover the distance between Opladen and Cologne?	Choose the most appropriate option:	A) 1 hour	B) 1 hour 10 minutes	C) 2 hours 30 minutes	D) 1 hour 20 minutes	E) 2 hours 10 minutes

Solution: v1 and V2 are speeds.   v1.t /100 = v2   v2.t/40 = v1   v1/v2 = 5/2   which train A would 100. 2/5 mins to cover the same distance     40 + 40= 
  40 + 40 = 80
80 mins (ANS 1 hour 20 minutes)
Answer: D
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?  Choose the correct choice from the following answers.
A) 13 B) 33 C) 50 D) 51 E) 52

Solution: The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has.   It means there is no effect of change in volume of water to the costing of the solution   So a solution of 1 liter of spirit and 2 liters of water will cost 50 cents   Answer = 50   ANSWER:50
Answer: C
3 friends A,B,C went for week end party to McDonald's restaurant and there they measure there weights in some order in 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 155 kg, then find the average weight of all the 7 rounds?
Choose the correct choice from the following answers:
A) 56
B) 66
C) 77
D) 88
E) 99

Solution: Its finally a easy one..haha   (A+B+C+AB+BC+CA+ABC)/7 ...as given ABC=155   so A+B+C also equal to 155 and AB+BC+CA=2ABC=(2*155)   finally..(155+2*155+155)/7=88.57   ANSWER:88
Answer: D
In a recent election, James received 15 percent of the 10000 votes cast. To win the election, a candidate needed to receive more than 51 percent of the vote. How many additional votes would James have needed to win the election?  Choose the correct choice.
A) 1004 B) 1000 C) 3600 D) 1201 E) 3601

Solution: James = (15/100)*10000= 
(15/100)*10000 = 1_500
1500   Votes to win= (51/100)*Total Votes +1 = (51/100)*10000 +1= 
(51/100)*10000 +1 = 5_101
5101   Remaining Voted needed to win election= 5101 - 1500= 
5101 - 1500 = 3_601
3601   Answer: option 3601
Answer: E
If cost of sugar increases by 44%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?	Choose the correct choice from the following
A) 32.55 B) 35.55 C) 28.55 D) 29.55 E) 30.55

Solution: 100   144   -----   144 ----- 44   100 ------ ? => 30.55%   Answer:30.55
Answer: E
A 230 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train? Select
A) 230
B) 270
C) 260
D) 256
E) 298

Solution: Relative speed = 120 + 80= 
120 + 80 = 200
200 km/hr.= 200 * 5/18 = 500/9 m/sec.   Let the length of the other train be x m.   Then, (x + 2340)/9 = 500/9 => x = 270.   Answer: 270
Answer: B
In a forest 190 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?  Pick one: A) 150 B) 750 C) 1,250 D) 1,900 E) 2,500

Solution: The percentage of tagged deer in the second sample = 5/50*100= 
5/50*100 = 10
10%.   So, 190 tagged deers comprise 10% of total # of deers --> total # of deers= 190*10 = 1,900.   Answer: 1,900.
Answer: D
Harold needs to buy a ticket to attend a conference for work. His own department contributes $4 less than half the price of the ticket. The HR department will contributes $1 more than a third of the price of the ticket. With these two contributions, Harold has to pay only $10 out of his own pocket to cover the cost of the ticket. What was the price of the ticket?  Choose the correct choice from the following:
A) $36	B) $42	C) $48	D) $54	E) $60

Solution: Say price of ticket = x   Own department contribution =x/2−4   HR contribution =x/3+1   Self contribution = 10   Setting up the equation   x=x/2−4+x3+1+10   x=42   Answer = $42
Answer: B
The largest 5 digit number exactly divisible by 91 is:	Choose one.
A) 25698  B) 581396  C) 369741  D) 99918  E) 1258

Solution: Explanation:   Largest 5-digit number = 99999   91) 99999 (1098   91   ---   899   819   ----   809   728   ---   81   ---   Required number = (99999 - 81)= 
(99999 - 81) = 99_918
99918.   Answer:99918
Answer: D
John had a stock of 620 books in his bookshop. He sold 50 on Monday, 82 on Tuesday, 60 on Wednesday, 48 on Thursday and 40 on Friday. What percentage of the books were not sold?
Options: A) 54.84% B) 36.5% C) 46.5% D) 56.5% E) 66.5%

Solution: Let N be the total number of books sold. Hence   N = 50 + 82 + 64 + 78 + 135 = 280   Let M be the books NOT sold   M = 620 - N = 620 - 280= 
620 - 280 = 340
340   Percentage   Books not sold / total number of books= 340/620= 0.55 = 54.84%   correct answer 54.84%
Answer: A
A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?  Choose the correct answer:
A) Rs 80	B) Rs 100	C) Rs 95	D) None of these	E) Cannot be determined

Solution: Explanation :   Let the dealer buys 3kg, 4kg and 5kg.   Price of total dry fruits = 3*100 + 4*80 + 5*60= 
3*100 + 4*80 + 5*60 = 920
Rs 920.   Profit= 920 * 115/100 = 1380.   Price of mix dry fruits per kg = 1380 / 12= 
1380 / 12 = 115
Rs 115.   Answer : None of these
Answer: D
A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many E ways can the test be completed if every question is unanswered? Choose the correct option:  A) 24  B) 120  C) 625  D) 720  E) 1024

Solution: 5 choices for each of the 4 questions, thus total E of 5*5*5*5 = 5^4 = 625 ways to answer all of them.   Answer: 625.
Answer: C
An alloy weighing 24 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 80 percent gold?
Choose one:
A) 6
B) 9
C) 12
D) 24
E) 48

Solution: In 24 ounces, gold is 24 * (70/100)= 
24 * (70/100) = 84/5 = around 16.8
16.8 ounces. Now we add x ounces of pure gold to make it 90% gold.   So 16.8 + x= (24 + x)* 80/100 => x =12.   Answer is 12.
Answer: C
A set consists of 12 numbers, all are even or multiple of 5. If 4 numbers are even and 10 numbers are multiple of 5, how many numbers is multiple of 10? Choose the correct choice from the following options.
A) 0	B) 1	C) 2	D) 3	E) 5

Solution: {Total} = {Even} + {Multiple of 5} - {Both} + {Nether}.   Since{Neither}=0(allare even or multiple of 5) then:   12 = 4 + 10 - {Both} + 0;   {Both}=2(so 1 number is both even AND multiple of 5, so it must be a multiple of 10).   Answer: 2.
Answer: C
Two numbers are in the ratio 3 : 4. If their L.C.M. is 36. what is sum of the numbers?	Choose the correct choice from the following choices:
A) 21  B) 56  C) 76  D) 84  E) 85

Solution: Explanation:   Let the numbers be 3x and 4x   LCM of 3x and 4x = 12x (Since LCM of 3 and 4 is 12. Hence LCM of 3x and 4x is 12x)   Given that LCM of 3x and 4x is 36   => 12x = 36   => x = 36/12= 
36/12 = 3
3   Sum of the numbers= 3x + 4x   = 7x   3  + 4= 
3  + 4 = 7
7x= 7 x 3 = 21   21nswer: Option 21
Answer: A
How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {10, 1, 2, 3, 4, 5, 6, 7, 8, 9}  Choose the correct choice from the following answers:
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Given s=3t   t can take 1,2,3   and so s = 3,6,9   3 such pairs can be formed.   answer 3
Answer: C
If p is the product of the integers from 1 to 38, inclusive, what is the greatest integer k for which 3^k is a factor of p?  Select:	A) 13	B) 15	C) 17	D) 19	E) 21

Solution: 38! has 3, 6, 9,....30, 33, 36 as factors, which are 12 multiples of 3.   We need to add 5 more to these 12 because of 9, 18, 27, and 36.   The greatest integer of k is 17.   The answer is 17.
Answer: C
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train? Pick one.
A) 87 Kmph  B) 68 Kmph  C) 54 Kmph  D) 37 Kmph  E) 16 Kmph

Solution: Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph   Answer: 68 Kmph
Answer: B
A sports equipment store sold ping pong rackets for a total of $637. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold? Choose the correct choice from the following answers: A) 50 B) 100 C) 65 D) 500 E) 980

Solution: Average price for a pair of rackets = $9.8   Total cost = $9.8*x = $637   x = 65 pairs were sold.   ANSWER:65
Answer: C
The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?
Choose the correct option:
A) 2/3
B) 1/3
C) 2/9
D) 1/12
E) 1/24

Solution: Probability of first member an English teacher = 3/9   Probability of second member an English teacher = 2/8   Probability of both being english teacher = 3/9 x 2/8 =1/12 (1/12)   ANSWER:1/12
Answer: D
The number m is the average (arithmetic mean) of the positive numbers a and b. If m is 75% more than a, then m must be Pick one.
A) 30% less than b B) 42 6/7% less than b C) 50% less than b D) 66 2/3% less than b E) 75% less than b

Solution: Say a = 4 (multiple of 4), then m = 4 + 3/4*4= 
4 + 3/4*4 = 7
7.   m= (a + b)/2;   7 = (4 + b)/2 --> b = 10.   m = 7 is 30% less than b = 10.   30% less than bnswer: 30% less than b.
Answer: A
Peeta asks Katniss, 'It is 9 pm as per my watch right now.Do you know what will be the time 23, 999, 997 hours later?'
Katniss knows the answer. Do you ? Choices.
A) 5pm
B) 6pm
C) 4am
D) 7am
E) 8pm

Solution: B   6pm   The time after 24, 000, 000 hours will be the same as it is now. We want the time 3 hours before that and thus you can deduct three hours from 9 pm. So the time will be 6 pm.
Answer: B
Find the value of x: x² + 6x +9.	Pick.
A) 9	B) -1	C) -3	D) 3	E) -9

Solution: That quadratic is factored as follows:x² + 6x + 9 = (x + 3)(x + 3).Lesson 17.Now, it is easy to see that that both factors will be 0 when x = -3.The solution is:x	=	-3 -3
Answer: C
The positive integer x has a factor of 16. If the square root of x is > 16, which of the following could equal x/16?	Pick one:  A) 13  B) 14  C) 15  D) 16  E) 17

Solution: Given: x=16k (where k is a positive integer) and √x=√16k >16 --> x=16k>16^2 --> divide by 16. So as x/16=k=integer>16, then x/16 can be 17, 18, ...   Answer: 17.
Answer: E
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  Choose the correct choice from the following choices:  A) 1/3.  B) 1/2.  C) 2.  D) 6.  E) 3.

Solution: Difference = Average   H - L = (H + L)/2,   Solving for H/L gives 3. A quick check, H be 12 and L be 4, 12 - 4 = (12 + 4 )/2   3.
Answer: E
Mangala completes a piece of work in 10 days, Raju completes the same work in 70 days. If both of them work together, then the number of days required to complete the work is?  Choose the correct choice from the following choices
A) 8 days
B) 70/8 days
C) 12 days
D) 14 days
E) 16 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 10 Ã— 70/80 = 70/8 days   70/8 days)
Answer: B
Solve the given two equations and find the inequality of X and Y. (a) x^2 = 729 and (b) Y= (729)^(1/2) Choose the correct choice from the following options:  A) If x>y  B) If x>=y  C) If x < y  D) If x<=y  E) x=y or relationship cannot be established

Solution: Solution:-   X=+27, -27 and Y= +27   Comparing we get X<=Y   If x<=y
Answer: D
A man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?	Options.
A) 5.33kmph	B) 6.00kmph	C) 5.00kmph	D) 6.00kmph	E) 4.00kmph

Solution: M = 6.5   S = 1.5   DS = 8   US = 4   5.33kmphS = (2 * 8 * 4) /12 = 5.33   5.33kmphnswer:5.33kmph
Answer: A
A leak in the bottom of a tank can empty the full tank in 3 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold? Pick
A) 7580 B) 7960 C) 8290 D) 1440 E) None

Solution: Solution   Work done by the inlet in 1 hour	= (1/3 - 1/12)   = 1/4   Work done by the inlet in 1 min.	= (1/4 × 1/60)   = 0.004167   Volume of 0.004167 part = 6 litres.   Therefore, Volume of whole	= 0.004167 x 6   ‹=› 1440 litres.   Answer 1440
Answer: D
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 choice from the following answers
A) 11 1/8%	B) 31 1/9%	C) 11 1/9%	D) 11 8/9%	E) 13 1/9%

Solution: 900 --- 100   100 --- ? => 11 1/9%   Answer:11 1/9%
Answer: C
A bookseller has two display windows. She plans to display 4 new fiction books in the left window, and 2 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?  Select
A) 48	B) 72	C) 144	D) 336	E) 420

Solution: The left window will have permutations of the 4 fiction books, so the number of possibilities for that window is   permutations = 4! = (4)(3)(2)(1) = 24   The right window will have permutations of the 2 non-fiction books, so the number of possibilities for that window is   permutations = 2! = (2)(1) = 2   48ny of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 24*2= 
24*2 = 48
48   48nswer: 48
Answer: A
A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent?
Choose the correct choice from the following answers
A) 8	B) 10	C) 15	D) 17	E) 19

Solution: 30 * 25= 
30 * 25 = 750
750   425   -----------   325   25 + 7.50= 
25 + 7.50 = 32.5
32.5   325/32.5= 
325/32.5 = 10
10   10
Answer: B
How many consonants are present between the first and seventh vowel in the sequence of English alphabet ?	Answers
A) 12  B) 13  C) 11  D) 10  E) None of these

Solution: Explanation:   Ref : A B C D E F G H I J K L M N O P Q R S T U V W X Y Z   There are only five vowels, hence there are no consonants between first and seventh vowel.   ANSWNone of theseR None of these
Answer: E
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?  Choose the correct choice from the following answers:
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: |-----------20--------------------|   50 40   D = 20   RS = 50 – 40 = 10   T = 20/10= 
20/10 = 2
2 hours.2nswer:2
Answer: A
Ravi purchased a shirt and a pant for Rs. 1000 &Rs. 3000 respectively. He sold the shirt at a loss of 5% and the pant at a profit of 8%. Overall how much he make a profit.	Choose the most appropriate option:
A) 245
B) 320
C) 120
D) 190
E) 598

Solution: Let the SP of the shirt and the pant be Rs. r and Rs. m respectively.   r = 1000(1 - 5/100) = 1000 - 50   m = 3000(1 + 8/100) = 3000 + 240   Total SP - Total CP = r + m - (1000 + 3000) = -50+ 240= Rs. 190   As this is positive, an overall profit of Rs. 190 was made.   190
Answer: D
A students was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was therefore 10 less than the correct answer. Find the number? Options.
A) 10
B) 12
C) 15
D) 20
E) 30

Solution: Answer   Let the number be N.   According to the question,   (N x 3)/2 - N / (3/2) = 10   ⇒ 3N/2 - 2N/3 = 10   ⇒ (9N - 4N) / 6 = 10   ⇒ 5N / 6 = 10   ∴ N = (10 x 6)/5 = 12   Option: 12
Answer: B
The sum of the mean, the median, and the range of the set {2,3,7} equals which one of the following values? Pick one:
A) 15	B) 8	C) 12	D) 4	E) 10

Solution: Here Mean => 2+3+7/3 => 4   median => 3   and range => 7-2= 
7-2 = 5
> 5   hence sum=> 4+5+3= 
4+5+3 = 12
> 12   Answer: 12
Answer: C
At a certain zoo, the ratio of lions to penguins is 3 to 11. If there are 82 more penguins than lions at the zoo, how many lions are there?	Choose the correct choice from the following choices.
A) 24
B) 30
C) 48
D) 72
E) 132

Solution: 3/11 = x / x+82   3*82 = 8x   x=30   30.30
Answer: B
If 28a+30b+31c=365.
then a+b+c=?.a,b,c are natural numbers
Choose the correct choice:
A) 9
B) 10
C) 11
D) 12
E) 13

Solution: have a look on your calender   since,we all knw a year consist of 365 days   february is d only month which has 28 days   4 months in a year has 30 days   and,rest 7 months has 31 days..   so,following d given eq. we can write 28*1 + 30*4 + 31*7..   hence values of a,b and c are 1, 4 and 7 respectively..   a+b+c=12   ANSWER:12
Answer: D
Average of 13 results is 65. If the average of first six results is 61 and average of last six results is 59 Then find the seventh result?  Choose one:
A) 100  B) 110  C) 115  D) 120  E) 125

Solution: Option '125'
Answer: E
There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in?	Choices
A) 10	B) 45	C) 5	D) 20	E) None of these

Solution: Explanation :   3 prize among 5 students can be distributed in 5C3 ways = 10 ways.   10nswer : 10
Answer: A
A certain number of men can do a work in 20days. If there were 4men more it could be finished in 5days less. How many men are there?	Choose the correct choice from the following answers:
A) 10  B) 12  C) 15  D) 20  E) 18

Solution: Original number of workers = 4 * (20-5)/5= 
4 * (20-5)/5 = 12
12men   Answer is 12
Answer: B
Nine persons went to a hotel for taking their meals. Eight of them spent 15 each on their meals and the ninth spend 8 more than the average expenditure of all the nine. What was the total money spent by them?
Choose the correct choice from the following answers:
A) 115	B) 117	C) 119	D) 122	E) 144

Solution: Let the average expenditure of all the nine be x.   Then, 15 × 8 + (x + 8) = 9x or 8x = 128 or x = 16.   ∴ Total money spent = 9x = (9 × 16) = 144.   Answer 144
Answer: E