MU-NLPC/Calc-aqua_rat huggingface dataset:
A batsman makes a score of 50 runs in the 17th inning and thus increases his averages by 2. What is his average after 17th inning?	Choose the correct choice from the following.
A) 39
B) 18
C) 42
D) 40.5
E) 41.5

Solution: let the average after 16th inning =x   then total run after 16th inning=16x   then total run after 17th inning=16x+50   then average run after 17th inning=(16x+50)/17   (16x+50)/17=x+2=> 16x+50 = 17x+34 => x= 16   x=16;   average after 17th inning =16+2= 
16+2 = 18
18   ANSWER:18
Answer: B
The average age of A, B and C is 25 years. If the average age of A and C is 29 years, what is the age of B in years ?  Choose the most appropriate option:
A) 17
B) 35
C) 20
D) 32
E) 21

Solution: 17ge of B = 17ge of (17 + B + C) â€“ 17ge of (17 + C) = 25 Ã— 3 â€“ 29 Ã— 2 = 75 â€“ 58 = 17 years   17
Answer: A
Average of 15 results is 43. If the average of first seven results is 41 and average of last seven results is 45 Then find the eighth result? Options
A) 41 B) 39 C) 43 D) 45 E) 47

Solution: Option '43'
Answer: C
A character lock consists of three rings each marked with six different characters. The number of distinct unsuccessful attempts to open the lock is at the most ?	Choose the correct choice:	A) 215	B) 200	C) 235	D) 255	E) 245

Solution: six different chars => tot attempts possible with three rings = 6*6*6   =>max unsuccessful attempts = 216-1= 
216-1 = 215
215   215NSWER 215
Answer: A
The population of a town is 8000. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?  Choose the correct choice from the following
A) 9876
B) 8000
C) 8500
D) 9500
E) 10000

Solution: Formula :   ( 9876fter =100 denominator   9876go = 100 numerator)   8000 Ã— 100/90 Ã— 100/90 = 9876   9876)
Answer: A
In an election between two candidates, the first candidate got 80% of the votes and the second candidate got 480 votes. What was the total number of votes?
Pick one
A) 1600
B) 1800
C) 2000
D) 2200
E) 2400

Solution: Let V be the total number of votes.   0.2V = 480   V = 2400   The answer is 2400.
Answer: E
The Shopkeeper increased the price of a product by 20% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?	Pick:
A) A)12.5%  B) B)13%  C) C)13.15%  D) D)12%  E) E)15%

Solution: Quantity X Rate = Price   1 x 1 = 1   0.7 x 1.20 = 0.84   12%ecrease in price = (0.12/1) × 100 = 12%   12%)
Answer: D
The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 1:4. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
Select the correct option.
A) 5 kg B) 6.625 kg C) 6.25 kg D) 6.35 kg E) 8.8 kg

Solution: sodium chloride in 100 kg = 1/5 x 100 = 20 kg   ammonium in 100 kg = 4/5 x 100 = 80 kg   Now 80 is 25 parts out of   (25 + 9)= 
  (25 + 9) = 34
34 parts.   Hence 9 parts= 9/25 x 80 = 28.8   Amount to be added = 28.8 - 20= 
28.8 - 20 = 8.8
8.8 Kg   ANSW8.8 kgR:8.8 kg
Answer: E
Three seventh of a number is 12 more than 40% of that number. What will be the 10% of that number?
Choices
A) A)148
B) B)210
C) C)21
D) D)248
E) E)258

Solution: 3/7 x – 40/100 x = 12   x = 35 * 12   35 * 12 * 10/100= 
35 * 12 * 10/100 = 42
42/2= 
42/2 = 21
21   ANSWER:21
Answer: C
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 7 sec. What is the length of the fast train?
Select the correct option
A) 27 7/6 B) 27 7/5 C) 27 7/2 D) 350/9 E) 27 7/1

Solution: Relative speed = (40 - 20)= 
(40 - 20) = 20
20 km/hr.= 20 * 5/ 18 = 50/9 m/sec.   Length of faster train = 50/9 * 7 = 350/9   = 350/9 m.   Answer:350/9
Answer: D
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 123 in his diary to remember his PIN. He also wrote out the way to calculate 123 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 123".
Once, Prafull saw his diary in which Pinaki wrote this number 123. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?
Choose the correct choice from the following options
A) 874  B) 875  C) 876  D) 877  E) None

Solution: Explanation :   Let, the PIN is x.   According to the question,   The card number =996 and Remainder =123.   Thus, (996 × x)/997=123.   =>x= 874.   874nswer : 874
Answer: A
A candidate who gets 40% of the marks fails by 40 marks. But another candidate who gets 60% marks gets 20 marks more than necessary for passing. Find the number of marks for passing? Choose the correct answer:
A) 100 Marks
B) 200 Marks
C) 160 Marks
D) 371 Marks
E) 827 Marks

Solution: 40% ------------ 40   60% ------------ 20   ----------------------   20% ------------- 60   40% -------------- ?     120 + 40= 
  120 + 40 = 160
160 Marks   Answer:160 Marks
Answer: C
If a and b are odd numbers, then which of the following is even ? Choices:	A) a + b	B) a + b + 1	C) ab	D) ab + 2	E) None of these

Solution: The sum of two odd number is even. So, a + b is even.   a + bnswer: Option a + b
Answer: A
In a group of dogs and peacocks, the number of legs are 18 less than four times the number of heads How many peacocks are there in that group? Choose one:  A) 9  B) 8  C) 7  D) 6  E) 5

Solution: Let the number of dogs be 'x' and the number of peacocks by 'y'. Then, number of legs in the group = 4x + 2y. Number of heads in the group = x+y So, 4x+2y = 4(x+y) – 18 ⇒ 2y = 18 ⇒ y = 9 Number of peacocks in that group = 9.   9nswer:9
Answer: A
Convert the following unit:
8 hectares in mÂ²  Pick one: A) 60000 mÂ² B) 70000 mÂ² C) 80000 mÂ² D) 85000 mÂ² E) 90000 mÂ²

Solution: 8 hectares in mÂ²   1 hectare = 10000 mÂ²   Therefore, 8 hectares = 8 Ã— 10000 mÂ²   = 80000 mÂ²   ANSWER : OPTION 80000 mÂ²
Answer: C
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 the correct choice:
A) 451/784 B) 561/784 C) 175/256 D) 362/785 E) 634/563

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   Ans: 175/256
Answer: C
A man buy a book in Rs50 & sale it Rs50. What is the rate of profit ???
Choose the correct choice from the following options.
A) 10%	B) 0%	C) 30%	D) 25%	E) 28%

Solution: cp=50   sp=50   profit=50-50= 
50-50 = 0
0   %=0/50*100= 
0/50*100 = 0
0%   ANSWER:0%
Answer: B
Tough and Tricky questions: Combinations.
eight contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded? Choose the correct choice from the following
A) 6	B) 7	C) 12	D) 16	E) 24

Solution: eight contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?   We have 2 slots to be filled using 8 contestants:8 options for slot1*3 option for slot2   = 8* 3= 
8* 3 = 24
24   Ans. 24) 24
Answer: E
Three female friendsthree male friends will be pictured in a advertising photo. If the photographer wants to line them up in one row, with menwomen alternating. How many possible arrangements may she chose? Select the correct option:	A) 40320	B) 1680	C) 1152	D) 576	E) 72

Solution: now any of the alternate 3 places can be filled by 3 male or female in 3!   similarily,   other 3 alternate places can be filled in 3!   hence required probability= 2*3!*3!=72   hence 72
Answer: E
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle? Select:
A) Rs 970  B) Rs 1075  C) Rs 1190  D) Rs 1210  E) Rs 1810

Solution: S.P. = 85% of Rs. 1400 = Rs.85/100x 1400	= Rs. 1190   ANSWER : Rs 1190
Answer: C
An bus covers a certain distance at a speed of 280 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of? Answers.
A) 600 km/hr B) 720 km/hr C) 730 km/hr D) 840 km/hr E) 760 km/hr

Solution: Distance = (280 x 5) = 1400 km.   Speed = Distance/Time   Speed = 1400/(5/3) km/hr. [We can write 1 hours as 5/3 hours]   Required speed = 1400 x 3 km/hr = 840 km/hr.   840 km/hr
Answer: D
Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:	Answers.
A) 69760 B) 30240 C) 99748 D) 42386 E) None

Solution: Solution:   Number of words which have at least one letter replaced,   = Total number of words - total number of words in which no letter is repeated.   => 105 – 16P5.   => 100000 − 30240 = 69760.   69760nswer: Option 69760
Answer: A
In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what W percentage of those asked favoured more than one of the 3 proposals.  Answers:  A) 10  B) 12  C) 17  D) 22  E) 30

Solution: Bunuel, my answer for exactly 2 people was 17 and this was my approach:   100%=(A+B+17)-(AnB+An17+Bn17)-5%+22% which leads me to   W=100%=(50+30+20)-(at least 2 people)-5%+22%.17
Answer: C
A shopkeeper loses 15%,if an article is sold for Rs. 187. What should be the selling price of the article to gain 20%?
Choose the correct choice from the following choices:
A) s.247	B) s.248	C) s.264	D) s.329	E) s.412

Solution: Given that SP = Rs. 187 and loss = 15%   CP = [100(SP)]/(100 - l%) = (100 * 187)/85 = 20 * 6   = Rs. 220.   To get 20% profit, New SP = [(100 + p%)s.264P]/100   = (220 * 120)/100   = Rs.264   Answer:s.264
Answer: C
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.65000? Choose the correct choice from the following:
A) 81000	B) 81007	C) 81008	D) 81066	E) 82265.6

Solution: 65000* 9/8 * 9/8 = 82265.6   Answer:82265.6
Answer: E
The average of first four prime numbers greater than 30 is?	Options.
A) 38 B) 20 C) 30 D) 40 E) 50

Solution: 31 + 37 + 41 + 43= 
31 + 37 + 41 + 43 = 152
152/4= 
152/4 = 38
38   38NSWER:38
Answer: A
1/3, 1/2, 1/4, 2 1/3, 3 1/2, 4 1/4, 4 1/3, 6 1/2, ? Pick:  A) 8 1/4  B) 9 1/4  C) 8 1/2  D) 8 1/3  E) 6 1/4

Solution: there are 3 series---   1/3,2 1/3,4 1/3.   1/2,3 1/2,6 1/2.   1/4,4 1/4,?   ans 8 1/4   8 1/4NSWER:8 1/4
Answer: A
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the larger wheel has made 24 revolutions, then the number of revolutions made by the smaller wheel is: Choose the correct choice from the following answers:
A) 52 B) 24 C) 48 D) 56 E) 43

Solution: D   56   Let the required number of revolutions made by larger wheel be x.   Then, less cogs, more revolutions (Indirect Proportion)   6 : 14:: 24: x <-> 6 x X = 14 x 24   x = (14 x 24)/6   x = 56
Answer: D
Two family reunions are happening at the Leela hotel, the Oates reunion and the Hall reunion. All 100 guests at the hotel attend at least one of the reunions. If 50 people attend the Oates reunion and 62 people attend the Hall reunion, how many people attend both reunions?  Choose the correct choice
A) 2  B) 5  C) 12  D) 16  E) 22

Solution: No of people in Oates reunion=50   No of people in Hall reunion=62   Attending both=x   All guests attend at least one.   Therefore, 100=50+62-(Both)   Both=12   Answer 12
Answer: C
The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is Select the correct option:
A) 4888
B) 2090
C) 9028
D) 9000
E) 9202

Solution: Explanation:   Let their prices be 3x, 5x and 7x.   Then, 3x + 5x + 7x = (15000 * 3) or x = 3000.   Cost of cheapest item = 3x = Rs. 9000.   Answer: 9000
Answer: D
Rose is two years older than Bruce who is twice as old as Chris. If the total of the age of Rose, B and Chris be 27 years, then how old is Bruce ?	Choose the correct choice:  A) 8 years  B) 10 years  C) 12 years  D) 14 years  E) 16 years

Solution: Let Chris's age be x years. Then, Bruce's age = 2x years.Rose's age = (2x + 2) years.   (2x + 2) + 2x + x = 27   5x = 25   x = 5.   Hence, Bruce's age = 2x = 10 years.   10 years
Answer: B
The average marks of a class of 25 students is 40 and that of another class of 30 students is 60. Find the average marks of all the students?
Choose the most appropriate option:
A) 52.6
B) 52.4
C) 52.1
D) 50.9
E) 52.9

Solution: Sum of the marks for the class of 25 students = 25 * 40= 
25 * 40 = 1_000
1000   Sum of the marks for the class of 30 students= 30 * 60= 
30 * 60 = 1_800
1800   Sum of the marks for the class of 55 students=   1000 + 1800= 
1000 + 1800 = 2_800
2800   Average marks of all the students= 2800/55 = 50.9.Answer: 50.9
Answer: D
If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor F of 2x and 3y?	Choose the most appropriate option.
A) F=1
B) F=Cannot be determined
C) F=2
D) 5
E) 6

Solution: My explanation: from question stem we know that nothing is common between X and Y , X and Y are two prime numbers eg: X=2, Y=3 and their GCD(2,3) =1 and so 2X and 3Y will have a GCD (2X,3Y) = 1 . what if either X or Y was 1, eg: X=1,Y=4 then GCD(1,4) =1 , but GCD(2,12) = 2.   and hence answer F=Cannot be determined
Answer: B
The sum of the first 50 positive even integers is 2550. What is the sum E of even integers from 102 to 200 inclusive?  Pick.
A) 5100 B) 7550 C) 10100 D) 15500 E) 20100

Solution: My solution is:   First 50 even integers:   2   4   6   8   <...>   Integers from 102 to 200   102   104   106   108   <...>   We notice that each integer from the second set is 100 more than the respective integer in the first set. Since we have 50 even integers from 102 to 200, then:   E=2550+(100*50)=7550.7550
Answer: B
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 68 years now, the son's age five years back was: Choose the correct choice from the following:  A) 14  B) 17  C) 19  D) 29  E) 24

Solution: Let the son's present age be x years. Then, (68 - x) = x   2x = 68.   x = 34.   Son's age 5 years back (34 - 5)= 
(34 - 5) = 29
29 years.   answer :29
Answer: D
Each of X alarm tolls at regular intervals. All of them tolls together twelve times a day. No two alarm at equal intervals of time. If each alarm tolls after a whole number of minutes, what is the maximum possible value of X?  Choose the correct option:
A) 14
B) 16
C) 18
D) 20
E) 22

Solution: Explanation :   The alarm tolls together twelves times a day. Therefore, they toll together once every 2 hours i.e in 120 minutes.   Since, no two alarms toll at equal intervals of time, the total number of distinct factors of 120, including 1 and 120 itself =23×3×5.   The number of factors =(3+1)×2×2=16.   Hence, the maximum value of X is 16.   Answer : 16
Answer: B
The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 16 kmph, 17 kmph, 18 kmph, and 19 kmph respectively. What is the ratio of the time taken by B to than taken by D? Choose the correct choice from the following answers:
A) 5:16
B) 19:17
C) 9:8
D) 8:9
E) None of these

Solution: Explanation :   Since it is a relay race, all the runners ran the same distance.   Hence for a same distance, (ratio of times) = 1/(ratio of speeds).   Hence ratio of times taken by 19:17 t& D = 19 : 17   Answer : 19:17
Answer: B
A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000? Pick:
A) 1687 B) 1478 C) 1480 D) 14000 E) 1500

Solution: 25*12: 30*12: 35*8   15:18:14   14/47 * 47000= 
14/47 * 47000 = 14_000
14000   Answer: 14000
Answer: D
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?  Pick:
A) Rs.2450  B) Rs.3600  C) Rs.2500  D) Rs.3100  E) Rs.2100

Solution: A:B:Rs.2500 = 2/3:1/6:1/6 = 4:1:1   x * 2/100 * 2/3 = 200   B capital = 15000*1/6= 
15000*1/6 = 2_500
2500   ANSWER:Rs.2500
Answer: C
A town's oldest inhabitant is x years older than the sum of the ages of the Lee triplets. If the oldest inhabitants is now J years old, how old will one of the triplets F be in 20 years?
J-X-40/3 is my answers.
J = X + L + L + L is the initial situation
After 20 years
J + 20 = X + L + L + L + 60 ...20 years for each triplet so 60 years totally.
J - X - 40/ 3 = L is my answer.
What wrong am i doing ? Since the age asked is after 20 years i also consider adding 20 years to J .	Choose the correct choice from the following answers:
A) (J - 50)/3	B) 3(J + 20)/x	C) (J + x - 50)/3	D) (J - x + 60)/3	E) (J + x - 20)/3

Solution: here it goes:   Oldest inhabitant = sum of age of triplets + X   J = 3L + X so L = (J - X)/3   After 20 years = L + 20   F= (J - X)/3 + 20   = (J - X + 60)/3=(J - x + 60)/3
Answer: D
A 3" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted?  Choose the correct choice from the following
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: The unpainted blocks are the interior blocks.   This block forms a 1" cube on the inside.   The answer is 1.
Answer: B
What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?  Choose the correct option.
A) 15 ways B) 77 ways C) 30 ways D) 11 ways E) 87 ways

Solution: The number of ways to select three men and two women such that one man and one woman are always selected = Number of ways selecting two men and one woman from men and five women   = ⁴C₂ * ⁵C₁ = (4 * 3)/(2 * 1) * 5= 
(4 * 3)/(2 * 1) * 5 = 30
30 ways.   Answer: 30 ways
Answer: C
The volume of a sphere with radius r is (4/3)*pi*r^3 and the surface area is 4*pi*r^3. If a sperical balloon has a volume of 36 pi cubic centimeters, what is hte surface area of the balloon in square centimeters? Options.
A) a. 40 B) b. 100 C) c. 400 D) d. 1,000 E) e. 10,000

Solution: The surface area is 4.pi.r^2 (its area remember not volume)   as 4/3.pi.r^3=36pi   r=3   so area = 4.pi.r^2= 36.pi= 36 x 3.14 = 100 (approx)   b. 100
Answer: B
The ratio of men to women in a class is 6 to 5. If 6 men and 6 woman drop out of the class and the ratio of men to women after the drop out is 4 to 3, then how many men are currently in the class? Choose the most appropriate option:
A) 10	B) 11	C) 14	D) 15	E) 12

Solution: 12quation on the basis of question   6x-6/5x-6=4/3   x=3   Original number of men = 6*3= 
6*3 = 18
18   Original Number of Women= 5*3= 
5*3 = 15
15   Current number of men= 18-6= 
18-6 = 12
12 (Answer)   Current number of women= 15-6= 
15-6 = 9
9   Ratio= 12/9= 4/3 ( Just to verify)   Ans 12
Answer: E
A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?  Choose the correct choice from the following.
A) A)0.75D B) B)0.76D C) C)0.765D D) D)0.775D E) E)0.805D

Solution: Successive doscounts = - a - b +ab/100   Putting the values,   Total discount = -15 - 10 + 150/100 = -25 + 1.5 = 23.5% discount   Hence the final price of the dress = D - 0.235D = 0.765D   0.765Dorrect Option: 0.765D
Answer: C
What is the value of 4^4+4^6?  Choose the correct choice:	A) 4^12	B) 4^35	C) 17(4^5)	D) 8^12	E) 17(4^4)

Solution: 4^4+4^6   =4^4(1+4^2)   =4^4 * 17   Answer 17(4^4)
Answer: E
15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 5 hrs. each would it take for 21 women if 3 women do as much work as 2 men? Choose the correct choice:
A) 30	B) 20	C) 16	D) 26	E) 36

Solution: Let 1Man does 1unit/hr of work   15M in 21 days of 8hrs will do (15*21*8) units   3W = 2M   1W=(2/3)units/hr   21W with 6hrs a day will take   (15*21*8)/(21*5*(2/3))= 
  (15*21*8)/(21*5*(2/3)) = 36
> 36 Days   ANSW36R:36
Answer: E
There are 51 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Options.
A) 4 B) 7 C) 17 D) 21 E) 27

Solution: let's find the range of Both and hence the range of x.   Minimum value of Both: Say there is no overlap in the two sets.   51 = x + 2x   x = 17   In this case Both = 0   Maximum value of Both: Say there is maximum overlap between the two sets. One set has x so it could be a subset of the set 2x.   51 = 2x   But x cannot be a decimal so (x-1) could be the overlap (= Both) and there could be 1 in only the Golf club.   51 = 2 x + x - (x - 1)   x = 25   In this case Both = 25 - 1= 
25 - 1 = 24
24   So Both lies between 0 and 24   Only option (D) satisfies this condition.   ANSWER:21
Answer: D
A certain collage has total of 200 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?  Choose the correct option:
A) 100	B) 80	C) 25	D) 60	E) 50

Solution: Answer 25   200 = 150 + 20 + x => x = 25   = 3/4 * 200 in 4 subjects + 20 min for 5th subject + x = 200
Answer: C
Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next? Pick.
A) 4.7	B) 4.5	C) 6.7	D) 8.9	E) 9.2

Solution: In this simple addition series, each number increases by 0.8.   4.7NSWER 4.7
Answer: A
If n is an integer and n^4 is divisible by 5, which of the following could be the remainder when n is divided by 5? Select.
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: option 1   Remainder 1 means  5+1= 
 5+1 = 6
6   n^4= 6^4= 6*6*6*6/5 is not an integer   option 2   Remainder 2 means  5+2= 
 5+2 = 7
7   n^4= 7^4=7*7*7*7/5 is not an integer   option 3   Remainder 3 means  5+3= 
 5+3 = 8
8   n^4= 8^4=8*8*8*8/5 is not an integer   option 4   Remainder 4 means  5+4= 
 5+4 = 9
9   n^4= 9^4=9*9*9*9/5 is not an integer   option 5   Remainder 5 means  5+5= 
 5+5 = 10
10   n^4= 10*10*10*10/5 is an integer means n^4 is divisible by 5 if we take n=5   so 5 is correct
Answer: E
The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $8.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?	Answers:
A) $8.40
B) $5.10
C) $5.30
D) $5.50
E) $5.60

Solution: I Tried using Time/Rate approach:-   Initial Price Difference = 8.80 - 3.20= 
8.80 - 3.20 = 5.6
5.60   Price of Corn increasing by 5x   Price of Wheat decreasing by x(1.4)-x= .4x   Since both the quantities are moving towards reducing the Price Gap hence:-   Relative Increase = 5x +.4x   Let T be the Time by which G$8.40P is filled so,   5.6 = T(5.4x) -> T= (5.6)/5.4X   Final Price = 3.20 + 5X * T -> 3.20 + 5*5.6/5.4 = 8.4   $8.40nswer $8.40.
Answer: A