MU-NLPC/Calc-aqua_rat huggingface dataset:
For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 70 terms?
Choose the correct choice from the following choices.
A) 3/5 B) 7/15 C) 35/36 D) 70/71 E) 140/141

Solution: a1 = 1 - 1/2   a2 = 1/2 - 1/3   a3 = 1/3 - 1/4   etc...   a70 = 1/70 - 1/71   The sum of these terms is 1-1/71 = 70/71   The answer is 70/71.
Answer: D
The diagonal of a rhombus are 80 m and 120m. Its area is:  Choose the correct choice from the following answers:
A) 4500
B) 4000
C) 4800
D) 4600
E) 4320

Solution: Area of the rhombus = 1/2 d1d2 = ( 1/2 Ã— 80 Ã— 120) 4800m(power)2   = 80Ã— 60= 4800 4800m(power)2   Answer is 4800.
Answer: C
The average age of a group of persons going for picnic is years. Seventeen new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is Choose one:
A) 5  B) 10  C) 17  D) 23  E) 50

Solution: Solution   Let the initial number of persons be x. Then   16x + 17 x 15 = 15.5(x+20)   = 0.5x = 8.5   x = 17.   Answer 17
Answer: C
A box contains 14 mangoes out of which 6 are spoilt. If six mangoes are chosen at random, find the probability that A number is selected at random from first fifty natural numbers. What is the chance that it is a multiple of either 5 or 12?  Answers:	A) 15/25	B) 2/25	C) 14/25	D) 7/25	E) 7/50

Solution: The probability that the number is a multiple of 5 is 10/50. (Since 5*10= 
5*10 = 50
50).   Similarly the probability that the number is a multiple of 12 is 4/50. {Since 14*4=   48).   Neither 5 nor 12 has common multiple from 1 to 50. Hence these events are mutually exclusive events. Therefore chance that the selected number is a multiple of 5 or 12 is (10+4)/50 = 7/25.   ANSWER:7/25
Answer: D
David has $1,800 at the beginning of his trip, after spending money, he still has exactly $800 less than he spent on the trip. How much money does John still have? Select:
A) $200 B) $500 C) $600 D) $800 E) $1,200

Solution: Suppose total money spent = x   Not spend (Money he still has)= x-800   x+x-800 = 1800   x= 1300   Money not spend= 1300-800= 
1300-800 = 500
500   Answer : $500
Answer: B
Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits F can does Grace have available during her trip?  Choose the correct choice from the following options.
A) 2,520
B) 1,260
C) 620
D) 360
E) 120

Solution: The idea is to multiply the number of possibilities for each item of clothing with the different items. For the shirts you essentially choose 2 out of 8 so you should use the combination forumla (don't know how to use math symbols here).   This gives you F=5 x 3 x 28 x 3 = 1'260. Hence, solution 1,260 is correct.
Answer: B
The set S consists of 5 numbers: {1,2,3,4,5}. If all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 3 or 4 as its largest number? Choose one:  A) 3/4  B) 3/8  C) 3/16  D) 5/16  E) 3/32

Solution: The set S has 2^5 = 32 subsets.   The number 5 is in half of these subsets.   Of the remaining 16 subsets, 4 is an element in 8 of them.   Thus 4 is the largest number in 8 subsets of S.   Of the remaining 8 subsets, 3 is an element in 4 of them.   Thus 3 is the largest number in 4 subsets of S.   The probability that 3 or 4 is the largest number is 12/32 = 3/8.   The answer is C.
Answer: B
There are 60 slots around a circle,numbered 1 to 60. A man starts from the first slot and jumps to the 5th slot.From there he jumps to the 9th slot and so on. In which slot will he land in his
2200th jump?  Pick:  A) 1  B) 5  C) 41  D) 45  E) 46

Solution: every 15th jump, he comes back to 1st position   so, 2200/15 = Remainder 10   Hence 10th position is 41st slot   ANSWER:41
Answer: C
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 10-meter platform and caught it after it had traveled 29.65 meters. How many times did the ball bounce?	Answers.
A) 5	B) 6	C) 7	D) 8	E) 9

Solution: Ans: 6   Division of total diatance travelled will be 10+10+5+2.5+1.25+0.6+0.3 ANS 6
Answer: B
If the units digit of n^43 is 7, which of the following could be the value of n?
I. n = 41
II. n = 43
III. n = 47  Choose the most appropriate option
A) Only I	B) Only II	C) Only III	D) I and II	E) II and III

Solution: I tried in this way.   Given n^43 units digit is 7.   If at all we have to get 7 as units digits only 3 and 7 series has 7   3^! = 3 , 3^2 = 9 , 3^3 = 27 , 3^4 = 81   7^1 = 7, 7^2 = 49 , 7^3 = 3 (units ) , 7^4 = 1 (units)   We have n^43 - then divide 43 by 4 = reminder 3.   Then we have for only 7^3 - we have units digit as 7.   Hence 47^43 = 7 (units).   Option Only I is correct answer , and with 41^43 we always get 1 as units digit and 43^43 - we get units as 3.
Answer: A
The sale price of a trolley bag including the sale tax is Rs. 1190. The rate of sale tax is 12% . If the shopkeeper has made a profit of 25%, the cost price of the trolley bag is:
Choose the correct choice from the following choices.
A) Rs 800 B) Rs 820 C) Rs 860 D) Rs 850 E) None of these

Solution: Explanation :   112% of S.P. = 1190   S.P. = Rs.(1190 x 100/112) = Rs.1062.50.   C.P. = Rs (100/125x 1062.50) = Rs 850   Answer : Rs 850
Answer: D
On his first 3 tests, Rajeev received an average score of N points. If on his fourth test, he exceeds his previous average score by 20 points, what is his average score for his first 4 tests?
Choose the correct answer
A) N  B) N + 4  C) N + 5  D) N + 10  E) N + 20

Solution: Total points from first three tests: 3N   Points on fourth test: N + 20   Total points on all four tests: 3N + (N + 20) = 4N + 20   Average score for first four tests: (4N + 20)/4 = N + 5   Answer is N + 5.
Answer: C
which number need to add to 859622 to get a number exactly divisible by 456?
Choose the correct option
A) 547879  B) 354643  C) 354673  D) 575673  E) 859622

Solution: Dividend = Quotient * Divisor + Reminder   859622 / 456 gives quotient = 1885 and reminder = 62.   So, the next number divisible by 456 is 456 places infront of 456 * 1885   Which means 456 – 62 = 394 should be added to 859622.   859622
Answer: E
The triangle ABC has sides of the following lengths: AB = 24, BC = 7, and AC = 25.
Let M be the midpoint of AB. What is the length of CM?	Pick
A) 1	B) root139	C) 12	D) root193	E) 16

Solution: Since 242 + 72 = 252, triangle ABC is a right triangle. Thus, MBC is also a right   triangle and CM2 = BM2 + BC2 = 122 + 72 = 193.   correct answer root193
Answer: D
Due to flooding, vendors increased the cost of sandbags by 30% to keep customers from buying out all the sandbags. Government officials declared an emergency and would only pay 60% of total price for sandbags. What is the difference between the new cost of the sandbags and the amount government officials paid? Choose the correct option:	A) 12.0%	B) 15.0%	C) 20.0%	D) 22.0%	E) 25.0%

Solution: Quantity X Rate = Price   1 X 1 = 1   0.60 X 1.30 = 0.780   22.0%ecrease in price = (0.22/1) Ã— 100 = 22.0%   Answer = Option 22.0%
Answer: D
The 7th grade French and Spanish classes each have 21 students in them, and there are six students in the 7th grade taking both languages. If everyone in the 7th grade is in at least one of the two language classes, how many students are taking just one of the two classes?  Select the correct option:
A) 24	B) 28	C) 30	D) 32	E) 34

Solution: French class + Spanish class = 42 students.   Six students are in both classes so they were counted twice.   The number of students taking just one class is 42 - 2(6) = 30.   The answer is 30.
Answer: C
2+2+2²+2³ ... +2^6  Choose the correct option:
A) 2^9 B) 2^10 C) 2^16 D) 2^35 E) 2^7

Solution: 2+2=2^2   2^2+2^2=(2^2)*(1+1)=2^3   2^3+2^3=(2^3)*(1+1)=2^4   Answer 2^7
Answer: E
A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?  Choose one:
A) 175/256 B) 451/365 C) 312/456 D) 156/754 E) 164/784

Solution: The man will hit the target if he hits it once or twice or thrice or all four times in the four shots that he takes.   So, the only possibility when the man will not hit the target is when he fails to hit the target in even one of the four shots that he takes.   The event of not hitting the target even once is the complement of the event of hitting the target at least once.   The probability that he will not hit the target in any given shot = 1 – 1/4 = ¾   Therefore, the probability that he will not hit the target in any of the four shots =3/4*3/4*3/4*3/4=81/256   The probability that he will hit the target at least in one of the four shots=1-81/256   =175/256   175/256ns:175/256
Answer: A
x, a, z, and b are single digit positive integers. x = 1/3a. z = ¼3b. (10a + b) – (10x + z) could NOT equal
Answers.
A) 31 B) 32 C) 46 D) 64 E) 68

Solution: a=3x , b =3z therefore(3x.10+3z) - (10x +z) = (3-1) (10x+z) =2.(10x+Z)   number should be divisible by 2   31
Answer: A
The area of a triangle is 615 m2. If one of its sides is 123 metre, find the length of the perpendicular dropped on that side from opposite vertex.  Choose the correct choice
A) 15 metres  B) 12 metres  C) 10 metres  D) 9 metres  E) None of these

Solution: In a triangle,   Area = 1⁄2 × length of perpendicular × base   or 615 = 1⁄2 × length of perpendicular × 123   ∴ Length of perpendicular = 615×2/123=10m   Answer 10 metres
Answer: C
If the cost price of 50 articles is equal to the selling price of 20 articles, then the gain or loss percent is?  Choose the most appropriate option:
A) 16 B) 127 C) 12 D) 18 E) 150

Solution: Percentage of profit = 30/20 * 100= 
30/20 * 100 = 150
150%   Answer: 150
Answer: E
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?	Choose the most appropriate option:
A) 4	B) 7	C) 9	D) 14	E) None

Solution: 1 woman's 1 day's work = 1/70   1 Child's 1 day's work = 1/140   5 Women and 10 children 1 day work = (5/70+10/140)=1/7   So 5 women and 10 children will finish the work in 7 days.   Answer: 7
Answer: B
What is the remainder when 1014*1047*1050*1053 is divided by 33?	Options: A) 3 B) 6 C) 30 D) 21 E) 18

Solution: OA is 'C'.   OE:   take the remainder from each of 1044/33, 1047/33 and so on..   1014/33 gives remainder = 24   1047/33 gives remainder = 24   1050/33 gives remainder = 27   1053/33 gives remainder = 30   the net remainder is the product of above individual remainders. i.e = 24*24*27*30   break them into pairs 24*24/33 gives remainder 15   and 27*30/33 gives remainder 18   so 15*18/33 gives remainder 6.   6
Answer: B
Alice and Bob will throw three dice each. The score is the sum of points on all three dice. If Alice scores 17 in her attempt what is the probability that Bob will outscore Alice in his attempt?  Answers:
A) 1/216
B) 5/216
C) 7/216
D) 1/36
E) 5/36

Solution: The total number of ways the dice can land is 6*6*6= 
6*6*6 = 216
216.   Bob must get a score of 18=6+6+6.   There is only 1 way to do this.   P(Bob wins)=1/216   The answer is 1/216.
Answer: A
Nine family members: 5 grandchildren (3 brothers and 2 sisters) and their 4 grandparents are to be seated around a circular table. How many different seating arrangements are possible so that 2 sisters are seated between any two of the three brothers?
Choose the correct choice:
A) 120
B) 480
C) 1440
D) 2880
E) 8640

Solution: Consider two brothers and two sisters between them as one unit: {BSSB}.   So, now we have 6 units: {G}, {G}, {G}, {G}, {B}, and {BSSB}.   These 6 units can be arranged around a circular table in   (6-1)= 
  (6-1) = 5
5! ways.   Next, analyze {BSSB} unit:   We can choose 2 brothers out of 3 for the unit in C23=3C32=3 ways;   These brothers, within the unit, can be arranged in 2! ways: {B1,S,S,B2}{B1,S,S,B2} or {B2,S,S,B1}{B2,S,S,B1}   The sisters, within the unit, also can be arranged in 2! ways: {B,S1,S2,B}{B,S1,S2,B} or {B,S2,S1,B}{B,S2,S1,B}   Therefore, the final answer is 5!*3*2*2=1440.   Answer: 1440.
Answer: C
When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 2/3 of the remaining balance, what will be the final balance in her bank account?	Choose the correct choice from the following
A) 300 B) 375 C) 400 D) 500 E) 575

Solution: As per the question 200=2a/5   thus- a which is the total amount =500   The amount thus left =300   She then deposited 2/3 of 300=200   total amount in her account =500   Answer 500
Answer: D
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent? Answers
A) 11  B) 25  C) 7  D) 88  E) 98

Solution: SP = CP + g   150 SP = 150 CP + 30 SP   120 SP = 150 CP   120 --- 30 CP   100 --- ? => 25%   Answer: 25
Answer: B
The mean of 50 observations is 200. But later he found that there is decrements of 9 from each observations. what is the the updated mean is ?  Select the correct option
A) 165  B) 185  C) 190  D) 191  E) 199

Solution: 191   Answer is 191
Answer: D
A man rows his boat 78 km downstream and 50 km upstream, taking 2 hours each time. Find the speed of the stream?  Choose the correct choice from the following options
A) 76 kmph	B) 6 kmph	C) 14 kmph	D) 7 kmph	E) 4 kmph

Solution: Speed downstream = d/t = 78/(2)= 
78/(2) = 39
39 kmph   Speed upstream= d/t = 50/(2)= 
50/(2) = 25
25 kmph   The speed of the stream= (39 - 25)/2= 
(39 - 25)/2 = 7
7 kmph   Answer:7 kmph
Answer: D
The food in a camp lasts for 34 men for 56 days. If fourteen more men join, how many days will the food last?
Choose the correct option:
A) 80 days B) 30 days C) 65 days D) 40 days E) 42 days

Solution: one man can consume the same food in 34*56= 
34*56 = 1_904
1904 days.   14 more men join, the total number of men= 48   The number of days the food will last = 1904/48   = 40 days.   Answer:40 days
Answer: D
An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 5 : 11. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares?
Choose the correct choice from the following
A) s 1200	B) s 1500	C) s 1600	D) s 1900	E) s 2400

Solution: Explanation :   Let P = Faruk, Q = Vasim, R = Ranjith   Let P = 3x, Q = 5x and R = 11x.   Then, 5x = 1500 ? x = 300. P=900,Q=1500 and R = 3300.   Hence, (R - p) = (3300 - 900)= 
(3300 - 900) = 2_400
2400   Answer : s 2400
Answer: E
What is the CP of Rs 100 stock at 8 discount, with 1/5% brokerage?
Pick
A) 92.9
B) 96.3
C) 92.2
D) 96.7
E) 92.8

Solution: Explanation:   Use the formula,   CP= 100 â€“ discount + brokerage%   CP= 100-8+1/5   92.2   Thus the CP is Rs 92.2.   ANSWER: 92.2
Answer: C
Take number 1000 and then add 20 to it.
Now add 1000 one more time.
Now add 30.
Now add 1000 one more time.
Now add 40.
Now add 1000 one more time.
Now add 10.
What is the total? Choose the most appropriate option
A) 4100  B) 3870  C) 5200  D) 6230  E) 8340

Solution: 4100   4100   some people might guess 5000
Answer: A
The edges of three metal cubes are 2 cm, 3 cm, and 4 cm respectively. A new cube is made by melting these three cubes together. What is the edge of the new cube (in centimeters)?	Answers.
A) 4.0 B) 4.2 C) 4.4 D) 4.6 E) 4.8

Solution: The total volume is 2^3+3^3+4^3=99   The edge of the new cube is the cube root of 99 which is about 4.6 cm.   The answer is 4.6.
Answer: D
Each shelf of a bookcase contains 22 books. If the librarian took out 40 books and rearranged the remaining books so that all shelves but the last one contained 16 books and the last shelf contained 18 books, how many shelves does the bookcase have?	Choose the correct choice
A) A)4
B) B)5
C) C)7
D) D)8
E) E)9

Solution: Denoting x the number of the shelves,   we can build an equation: 22x=16(x−1)+18+40   Solving the equation, we get x=7   Answer: 7
Answer: C
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?	Pick one:
A) 40	B) 28	C) 27	D) 17	E) 21

Solution: Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 360 + 140= 
360 + 140 = 500
500 m   Required time= 500 * 2/25= 
500 * 2/25 = 40
40 sec   40nswer: 40
Answer: A
In a river flowing at 2 km/hr, a boat travels 40 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
Choose the correct choice from the following.
A) 10 hours	B) 12 hours	C) 14 hours	D) 15 hours	E) None of these

Solution: Explanation :   speed of the boat = 6 km/hr   Speed downstream = (6+2)= 
(6+2) = 8
8 km/hr   Speed upstream= (6-2)= 
(6-2) = 4
4 km/hr   15 hoursistance travelled downstream= 15 hoursistance travelled upstream = 40 km   Total time taken = Time taken downstream + Time taken upstream   = (40/8) + (40/4)= 
(40/8) + (40/4) = 15
15   15 hours
Answer: D
If (6)(x^2) has three different prime factors, at most how many different prime factors does x have?
Choose the correct option:	A) 1	B) 2	C) 3	D) 4	E) 5

Solution: x can have at most 3 prime factors, namely the prime factors 2 and 3, plus one other.   If x had more than this number of prime factors, then (6)(x^2) would have more than 3 prime factors.   The answer is 3.
Answer: C
Five years ago Anita was P times as old as Ben was. If Anita is now 14 years old, how old is Ben now in terms of P ?  Select
A) 9/P + 5	B) P/9 +5	C) 17 - P/5	D) 17/P	E) 11.5P

Solution: let's call Ben age five years ago is x   so five years ago 9/P + 5nita was:  14-5= 
 14-5 = 9
9 years old   and five years ago 9/P + 5nita was P times as old as Ben was=> 9/x = P   => x = 9/P   => Now Ben age will be : x+5 = 9/P+5   => the answer is 9/P + 5
Answer: A
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?  Choose the correct choice from the following answers.
A) 197 B) 280 C) 189 D) 278 E) 268

Solution: x*(85/100)   = (480 - x)119/100   x = 280   Answer: 280
Answer: B
The salary of a person was reduced by 10%. By what percent should his reduced salary be raised so as to bring it at par with his original salary? Choices:
A) 10% B) 11 1/9% C) 13 2/7% D) 15 3/11% E) 12 1/3%

Solution: Let the original salary be $100   New salary = $90   Increase on 90 =10   Increase on 100 = 10/90 * 100 = 11 1/9%   Answer is 11 1/9%
Answer: B
A person traveled from his house to office at 30 kmph; then he was late to his office by 5 minutes. If he increases his speed by 10 kmph he would be early by 15 minutes to his office. What should be his speed so that he reaches his office on time ?  Choose the correct answer
A) 36 kmph B) 32 kmph C) 34 kmph D) 35 kmph E) 36 kmph

Solution: Expl :   Let the distance between house and office be x km   (x/30) – (x/40) = 20/40; x/120 = 1/3 x = 40 km   Travlling at 40 kmph, he reaches office in 1 hour i.e. 15 minutes early   So required speed = 40/ 5/4 = 40 * 4/5 = 160/5= 
160/5 = 32
32 kmph   Answer: 32 kmph
Answer: B
The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E, whose weight is 3 kg more than that of D, replaces A, then average weight of B, C, D and E becomes 79 kg. The weight of A is?  Choose the correct answer.
A) 70 kg B) 72 kg C) 75 kg D) 80 kg E) None of these

Solution: Weight of D = (80 x 4 - 84 x 3) kg = 68 kg   Weight of E = (68 + 3)= 
(68 + 3) = 71
71 kg   (B + C + D + E)’s weight= (79 x 4) kg = 316 kg   Therefore, (B + C)’s weight = [316 - (68 + 71)= 
316 - (68 + 71) = 177
177 kg.   Hence, A’s weight= [(84 x 3) - 177] kg = 75 kg.   ANSWER:75 kg
Answer: C
Set Y consists of the following unique integers: -2, 17, 3, n, 2, 15, -3, and -27; which of the following could be the median of set Y?
Pick one:  A) 767  B) 76  C) 7  D) 5  E) 1

Solution: Whenever a question asks you to deal with the MEDIAN of a group of numbers, you MUST put the numbers in order from least to greatest (or at the very least,group offthe numbers so that you can restrict the potential value of the median).   Here, we have 8 values (one of the values is the variable N). We're told that the values are UNIQUE, so N CANNOT be any of the other 7 values listed. We're asked which of the following answers COULD be the median, so if we determine that one of the answer choices is a POSSIBLE median, then we can stop working....   Since the group includes 8 values, the median will be the AVERAGE of the 4th and 5th values...   Putting the 7 numbers in order, we have:   -27, -3, -2, 2, 3, 15, 17   This means that the2will either be the 4th term or the 5th term (depending on the value of N).   IF....   N is REALLY BIG, then the 4th and 5th terms will be 2 and 3, so the median will = 2.5   N is REALLY SMALL, then the 4th and 5th terms will be -2 and 2, so the median will = 0   Neither of those answers is among the choices though, so N must be something relativelycloseto 2.....   IF....   N = 0, then the 4th and 5th terms will be 0 and 2, so the median will = 1. That answer IS among the choices, so we're done.   1
Answer: E
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group? Choose the correct choice from the following options:
A) Rs.13
B) Rs.12
C) Rs.15
D) Rs.22
E) Rs.12

Solution: Total members in the group = 7   Average amount = Rs. 20   Total amount with them = 7 * 20 = Rs. 140   One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90   The average amount with them = 90/6 = Rs.15.   Answer:Rs.15
Answer: C
If x and y are prime numbers such that x > y > 3, then x^2 − y^2 must be divisible by which one of the following numbers?	Select:  A) 3  B) 4  C) 5  D) 9  E) 12

Solution: If x=8 and y=6, then x^2-y^2=28 and 28 is divisible only by 4 from the options, thus it must be correct.   Answer: 4.
Answer: B
In each term of a sequence, 9 is added to get the next term. If the first term is 2, what is the eighty-first term?  Choose the correct choice
A) 632 B) 695 C) 713 D) 722 E) 731

Solution: Let’s think about the first few terms of this sequence.   a_1=2   a_2=11 = 2 + 9   a_3=20 = 2 + 9 + 9   a_4=29 = 2 + 9 + 9 + 9   To find each new term, we add 9. The result is, each term equals 2 plus a sum of 9’s. How many nines? Well, the second term has one 9, the third term has two 9’s, the fourth term has three 9’s, so it’s clear the nth term would have a sum of (n – 1) 9’s. Thus, the eighty-first term would be 2 plus eighty 9’s. Well, eighty 9’s = 80*9= 
80*9 = 720
720, so the eighty-first term= 722, answer 722.
Answer: D
How many of the positive factors of 20 are not factors of 24 Choose the correct answer:
A) 2
B) 3
C) 4
D) 1
E) 5

Solution: factors of 20 - 1, 2, 4,5, 10, 20   factors of 24 -1, 2, 3, 4, 6, 8, 12 and 24   Comparing both, we have 3 factors of 20 which are not factors of 24- 5,10,20   Answer : 3
Answer: B
If 5 persons can do 5 times of a particular work in 5 days, then, 3 persons can do 3 times of that work in? Choices:
A) 2 days	B) 3 days	C) 5 days	D) 7 days	E) 9 days

Solution: That is, 1 person can do one time of the work in 5 days.   Therefore, 3 persons can do 3 times work in the same 5 days itself.   5 days)
Answer: C
The profits of a firm are to be distributed in a suitable ratio. Suitable ratio is the ratio whose terms differ by 40 and the measure of which is 2/7. Find the suitable ratio.	Choose the correct choice
A) 280 : 2	B) 16 : 56	C) 80 : 7	D) 40 : 14	E) none of these

Solution: Let the ratio be x : y   Given x/y = 2/7,   Also y - x = 40,   Solving we get, x = 16, y = 56   ANSWER:16 : 56
Answer: B