MU-NLPC/Calc-aqua_rat huggingface dataset:
If x is the median of the set {x, 11/3, 28/9, 21/5, 9/2}, x could be  Choose the correct option: A) 16/5 B) 17/5 C) 30/7 D) 4 E) 31/7

Solution: The median is the middle number once all the numbers are arranged in increasing/decreasing order.   We see that   11/3 = 3.something,   28/9 = 3.something   21/5 = 4.something   9/2 = 4.something   So x should greater than the smallest two numbers and smaller than the greatest two numbers. We can see that x = 4 is possible. (First look at the simplest option or the middle option since options are usually arranged in increasing/decreasing order)   Answer (4)
Answer: D
If e>0.9, which of the following options can be the value of e?  Choices:
A) 0.9^2
B) √(0.9)
C) 0.09
D) 0.9
E) 0.9^3

Solution: Lets take a few examples   When .2 is squared it gives .04   when .5 is squared it gives .25   When .9 is squared it gives .81   So raising a fraction to its power of 2 or 3 only reduces the value of the fraction   This is because   .2 = 2/10   .2^2= 4/100   .2^3=8/1000   Since the denominator gets an extra 0 each time u increase the power , it is going to drag the value down   √(0.9)ut if you just think about the opposite case :   Then we can see , if squaring a fraction diminish its value, then taking the square root of it will again increase its value   that is √(0.04) will give you back 0.2   so √(0.04) > 0.04   so obviously diminishing the power will appreciate the value   So e √(0.9) > 0.9   Hence Correct Answer is (√(0.9))
Answer: B
If 25/999=0.002, what is the 81st digit to the right of the decimal point in the decimal equivalent of the fraction? Answers:
A) 6	B) 5	C) 4	D) 3	E) 2

Solution: 0.[u]25[/u = 0.002002002002.....   Every 3rd digit is 5 and every multiple of 3 will be the digit 2. Since 81 is multiple of 3, the 81st digit is 2.   Answer 2
Answer: E
A man sells an article at 10% gain. Had be sold at for Rs.60/- more he could have gained 20% what is cost price of article	Choose the correct answer.
A) Rs.500 B) Rs.600 C) Rs.650 D) Rs.760 E) Rs.800

Solution: First selling price = 110 % -----> X Rupees   =sold at for Rs.60/- = 120 % -----> X + 60 Rupees   ~   ----------------------------------------------   10 % --------> 60   100 % ------->Rs.600/-   Option 'Rs.600'
Answer: B
The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is?  Choose one:	A) 377	B) 126	C) 111	D) 727	E) 121

Solution: Let the numbers be 37a and 37b.   Then, 37a * 37 b = 4107 => ab = 3   Now, co-primes with product 3 are (1, 3).   So, the required numbers are (37 * 1, 37 * 3) i.e., (1, 111).   Greater number = 111.   Answer:111
Answer: C
Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time E will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
Pick:
A) 2 minute and 12 seconds.
B) two minutes.
C) 44 seconds.
D) 20 seconds.
E) 12 seconds.

Solution: Tom is running alone for 20 seconds.   So he will cover a distance of  20*2.5= 
 20*2.5 = 50
50 m in 20 seconds=E   Basically, Jerry has not started yet , and Tom has covered the distance alone and met Jerry on the other side   20 seconds. is the answer
Answer: D
Denise is trying to open a safe whose combination she does not know. IF the safe has 5000 possible combinations,and she can try 50 different possibilities,what is the probability that she does not pick the one correct combination.  Pick.
A) 0.08  B) 159/160  C) 157/160  D) 3/160  E) 0.99

Solution: If Denise does not pick the correct combination in first 50 try, then the correct combination is one of remaining 4950. So Probability = 4950/5000= 
4950/5000 = 99/100 = around 0.99
0.99   answer is 0.99
Answer: E
Venki takes a trip and drives 5 hours from Town X to Town Z at a rate of 80 miles per hour. On her way back, Venki drives 45 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Venki to drive from Town Z to Town Y? Choose the correct choice from the following:
A) 1.01  B) 4.44  C) 11.5  D) 1.75  E) 2.14

Solution: distance from X to Z =5 hr* 80 mph= 400 miles   hence distance from Y to Z= 1/2*400= 
1/2*400 = 200
200   time=200/45=4.44 hrs   IMO: 4.44
Answer: B
A Raz's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
Choose the most appropriate option
A) 1:2  B) 4:5  C) 1:1  D) 3:2  E) 5:3

Solution: A Raz's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. 1996- x----- y------- x+y   1997- x1---- y1-- x1+y1   x1= a*x .....(P)   y1= 1.07*y...(Q)   x1+y1/x+y = 1.01   solve using P and Q and find x/y
Answer: A
what is the smallest integer that is multiple of 5,7 and 20
Choose the correct choice from the following
A) 141	B) 180	C) 130	D) 122	E) 140

Solution: Correct Answer :140   It is the lcm of 5,7 and 20 which is 140
Answer: E
The sum of four consecutive numbers is 102. The greatest among these three number is:
Choose one: A) 26 B) 28 C) 29 D) 30 E) 27

Solution: Let the numbers be x, x + 1 , X+2 and x + 3   Then,   x + (x + 1) + (x + 2)+(X+3) = 102   4x = 96   x = 24   Greatest number, (x + 3) = 27   ANSW27R:27
Answer: E
When positive integer F is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when F is divided by B?	Pick:	A) 13	B) 14	C) 15	D) 16	E) 17

Solution: the remainder will be obtained from the decimal part when F is divided by B i.e. 0.35   0.35 = 35/100 = 7/20 so possible remainders are 7,14,21,28. Only option 14-14 satisfies this   PS: for 14-14 F=174 and 14=40
Answer: B
How many three digit numbers C greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?  Pick.
A) 72 B) 48 C) 120 D) 96 E) 76

Solution: Find the number of 3 digit numbers greater than 300, and then subtract from them the number of three digit numbers between 300 and 330 formed with the given 6 digits.   ABC three digit numbers greater than 300 - total of  4*5*4= 
 4*5*4 = 80
80, because a must be greater than 2, so 4 possibilities left; B 5 remaining, and C 4 remaining possibilities to choose from.   Between 300 and 330 there are   1*2*4= 
  1*2*4 = 8
8 numbers with the given property: A= 3, 1 possibility; B can be only 1 or 2 (ABC < 330), so two possibilities; C the remaining 4 possibilities after choosing A and B.   Total possible choice  80 - 8= 
 80 - 8 = 72
72=C   72nswer: 72.
Answer: A
AB
+BA
___
181
In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B?
Choose the correct choice from the following options
A) 6 B) 8 C) 9 D) 11 E) 14

Solution: two ways to do it..   1) straight logic..   we can see that ones digit is 1 when units digit B and A are added..   only 14 fits in..   Answer :14
Answer: E
In a group of donkeys and pigs, the numbers of legs are 16 more than twice the number of heads. The number of donkeys is Choices
A) 6  B) 8  C) 11  D) 12  E) 13

Solution: Let the number of donkeys be x and the number of pigs be y. Then,   4x + 2y = 2(x + y) = 16 or 2x + (2x + 2y) = (2x + 2y) +16   or 2x = 16 or x = 8.   ANSWER:8
Answer: B
An express A starts at 2.30 pm from nampali station and travels towards vizag station at speed of 80 kmph. Another expressstarts at 4.30 pmfrom nampali station to vizag station at speed of 100 kmph. How far awayfrom station Nampali will the two trains meet?? Choose the correct choice from the following answers
A) 600 km B) 700 km C) 750 km D) 800 km E) 900 km

Solution: Let train A take x hours to reach the point of meeting(let it be P)   Then train B will reach the same point in x-2 hours.   Distance covered to reach P by train A in x hours=Distance covered by B to reach P in x-2 hrs.   80*x=100(x-2)   80x=100x-200   x=10 hrs.   800 kmistance from Nampali=x*speed of train A   =10*80= 
10*80 = 800
800 km   ANSWER:800 km
Answer: D
If the number 517 * 324 is completely divisible by 3, then the smallest whole number in the place of * will be:  Choose the most appropriate option:	A) 0	B) 1	C) 2	D) 3	E) None of these

Solution: (5+1+7+A+3+2+4)=(22+A)MUST BE DIVISIBLE BY 3.   HENCE THE SMALLEST WHOLE No. must be 2   ANSWER:1
Answer: B
A shopkeeper sells 20% of his stock at 25% profit ans sells the remaining at a loss of 5%. He incurred an overall profit of Rs. 400. Find the total worth of the stock? Choose the correct option: A) 25500 B) 25000 C) 40500 D) 20000 E) 40000

Solution: Let the total worth of the stock be Rs. x.   The SP of 20% of the stock = 1/5 * x * 5/4 = 5x/20   The SP of 80% of the stock = 4/5 * x * 0.95 = 152x/200   Total SP = 50x/200 + 152x/200 = 202x/200   Overall profit = 152x/200 - x = 2x/200   x/50 = 400 => x = 40000   Answer:40000
Answer: E
Letters of the word DIRECTOR are arranged in such a way that all the vowels come together. Find out the total number of ways for making such arrangement.	Options:
A) 4320 B) 2720 C) 2160 D) 1120 E) None of these

Solution: Taking all vowels (IEO) as a single letter (since they come together) there are six letters   Hence no. of arrangements = 6!⁄2! × 3! = 2160   [Three vowels can be arranged 3! ways among themselves, hence multiplied with 3!.]   Answer 2160
Answer: C
A can do a piece of work 30 days. B can do work in 45 days. In how many days they will complete the work together?	Choose the correct choice from the following answers: A) 15 days B) 16 days C) 19 days D) 17 days E) 18 days

Solution: LCM = 90, Ratio= 30:45=2:3   No of days= 90/(2 + 3) = 90/5= 
90/5 = 18
18 days   ANSW18 daysR:18 days
Answer: E
What ratio must wheat A at Rs.10.50/kg be mixed with wheat B at Rs.12.30/kg, so that the mixture be worth of Rs.11/kg? Choose the correct choice from the following answers
A) 2:5  B) 3:7  C) 5:9  D) 6:11  E) 13:5

Solution: Convert Rs into paise, to make the calculation easy   Ratio =	(B – M)   (M – A)   The required ratio = 130 : 50 = 13 : 5   13:5
Answer: E
There are 8 books on a shelf, of which 3 are paperbacks and 5 are hardbacks. How many possible selections of 4 books from this shelf include at least one paperback?  Choose the correct choice from the following choices
A) a) 40  B) b) 45  C) c) 50  D) d) 55  E) e) 65

Solution: approach 1   at-least 1 paper back = total - no paper back   8c4-5c4 = 65   approach 2   at-least 1 paper back = 1 paper back , 3 hard back or 2 paper back 2 hard back   = 3c1*5c3+3c2*5c2+3c3*5c1 = 65   Answer is e) 65
Answer: E
Two trains are running in opposite directions with the same speed. If the length of each train is 150 m and they cross each other in 12 sec, then the speed of each train is?
Answers:
A) 30
B) 35
C) 45
D) 37
E) 38

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (150 + 150)/12 => x = 12.5   Speed of each train = 10 m/sec.   = 12.5 * 18/5= 
12.5 * 18/5 = 45
45 km/hr.   Answer: Option 45
Answer: C
Amber works 15 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay?	Choose the correct option
A) 15d B) 20dm C) 10md/6 D) 20d/m E) 20md

Solution: 15dNSWER: 15d The passage states that she works 15 days a month at d dollars per day, so 15 d is her monthly pay
Answer: A
2 friends A and B running up hill and then to get down length of road-440 yads A on his return journey met B going up at 20 yards from top if A has finished race 5 minute earlier than B then how much time A had taken to complete the race?	Choose the correct choice from the following answers
A) 100 minute	B) 110 minute	C) 120 minute	D) 130 minute	E) 140 minute

Solution: total journey= 440*2= 
440*2 = 880
880   A meet B 20 yards from top in getting down it means he has covered   440+20= 
  440+20 = 460
460 yards while B is 420 yards.so he is 40 yards ahead of B which is equals to 5 minute.   so 40 yards in 5 min   880 yards will be in 5*880/(40)= 
5*880/(40) = 110
110 minute   ANSWER:110 minute
Answer: B
The banker's discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. What is the sum due? Options.
A) Rs. 180
B) Rs. 120
C) Rs. 220
D) Rs. 200
E) Rs.140

Solution: F = (BD ×TD)/(BD – TD)=(36×30)/(36–30)=36×30/6=36×5   = Rs. 180   Rs. 180NSWER:Rs. 180
Answer: A
The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time? Pick
A) 6 2/3% B) 6 2/9% C) 6 3/3% D) 9 2/3% E) 7 2/3%

Solution: 4/9 P = (P*R*R)/100   R = 20/3 = 6 2/3%   6 2/3%nswer: 6 2/3%
Answer: A
A reduction of 20% in the price of salt enables a lady to obtain 2 kgs more for Rs.100, find the original price per kg? Choose the correct option.
A) 12.6	B) 12.1	C) 12.5	D) 12.4	E) 12.7

Solution: 100*(20/100)= 
100*(20/100) = 20
20 --- 2   ? --- 1=> Rs.10   100 --- 80   ? --- 10 => Rs.12.5   Answer: 12.5
Answer: C
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
Choose the correct choice.
A) 670	B) 704	C) 677	D) 655	E) 555

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.   = 500 * 2 * 22/7 * 22.4= 
500 * 2 * 22/7 * 22.4 = 70_400
70400 cm= 704 m   Answer: Option 704
Answer: B
Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?  Select
A) 388
B) 266
C) 120
D) 299
E) 267

Solution: 4x 5x 6x   100 50 25   400x + 350x + 150x = 16000   x = 20   6x = 120   Answer: 120
Answer: C
A can do a piece of work in 22 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in Options.
A) 5days
B) 6days
C) 11days
D) 8.5days
E) 9days

Solution: Explanation:   B's 5 days work =   1/10∗5=1/2   Remaining work =1−1/2=1/2   A can finish work =22∗1/2=11 days   Option 11days
Answer: C
If m is an integer such that (-2)^2m=2^(3-m) then m=?	Choose the correct choice:  A) 1  B) 2  C) 3  D) 5  E) 6

Solution: (-2)^(2m) = 4^m   and   2^(3-m) = 4^((3-m)/2)   Therefore,   m = (3-m)/2   2m = 3 - m   m = 1   1nswer 1
Answer: A
A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.46 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.54 In what ratio should he mix the water and milk? Choose the correct choice from the following answers:
A) 1:20
B) 1:10
C) 1:8
D) 1:45
E) 6:11

Solution: water = w (liter)   Milk = m (liter)   ==> Cost = Price x Quantity = 0.46m   ==> Revenue = Price x Quantity = 0.54(m + w)   ==> Profit =0.54(m+w) - 0.46m = 0.2*(0.46m)[20% of cost]   ==> 0.54m + 0.54w - 0.46m = 0.092m   ==> 0.012m = 0.54w   ==> m/w = 0.54/0.012= 
0.54/0.012 = 45
45   --OR--   w/m= 1/45   1:45 is correct.
Answer: D
Excluding the stoppages, the speed of a bus is 64 km/hr and including the stoppages the speed of the bus is 48km/hr. For how many minutes does the bus stop per hour?  Choose the correct answer.
A) 15 min B) 10 min C) 12 min D) 20 min E) 18 min

Solution: Speed of the bus without stoppage=64 km/hr   Speed of the bus with stoppage=48km/hr   Difference in speed=16 km/hr   so,the time taken in the stoppages = time taken to cover 16 km=(16/64)hr = 1/4 hr =15 min   15 minNSWER:15 min
Answer: A
The lateral surface area of cuboid length 12 m, breadth 8 m and height 6m.
Choose the most appropriate option.
A) 540	B) 240	C) 440	D) 140	E) 340

Solution: Cuboid lateral surface = 2h(l+b)   = 2 × 6 (20) = 240 m(power2)   Answer is 240
Answer: B
What is the probability of flipping a fair coin seven times and the coin landing on heads on at least two flips?	Choices: A) 7/8 B) 15/16 C) 31/32 D) 63/64 E) 127/128

Solution: The number of possible outcomes is 2^7=128.   0 heads: There is 1 way to have all tails.   1 head: There are 7 ways to have one head.   P(0 or 1 head)=8/128=1/16   P(at least 2 heads)=1 - 1/16 = 15/16   The answer is 15/16.
Answer: B
Which of the following number is divisible by 24 ?
Choices.
A) 35718  B) 63810  C) 3125736  D) 537804  E) None

Solution: 24 = 3 x8, where 3 and 8 co-prime.   Clearly, 35718 is not divisible by 8, as 718 is not divisible by 8.   Similarly, 63810 is not divisible by 8 and 537804 is not divisible by 8.   Consider option (C),   Sum of digits = (3 + 1 + 2 + 5 + 7 + 3 + 6)= 
(3 + 1 + 2 + 5 + 7 + 3 + 6) = 27
27, which is divisible by 3.   Also, 736 is divisible by 8.   3125736 is divisible by (3 x 8), i.e., 24.   3125736
Answer: C
The number of the members of a club is more than 10 and less than 40. When 3 people sit at a table, other people exactly divided to 6-people groups (6 people sit at a table) or 5-people groups (5 people sit at a table). If the members are divided to 7-people groups, how many people will be left?
Choose the correct choice from the following:  A) 0.  B) 1.  C) 2.  D) 4.  E) 5.

Solution: The number of members is 5k+3 = 6j+3   The only number in this range which satisfies this is 33.   33/7 = 4(7) + 5   The answer is 5..
Answer: E
On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of: Answers:  A) 15 2/2  B) 17 3/2  C) 18 3/4  D) 19 2/3  E) 16 2/3

Solution: E   16 2/3   Clearly, the retailer gets 1 dozen out of 6 dozens free.   16 2/3quivalent discount = 1/6 * 100 = 16 2/3%.
Answer: E
B @ K I 9 D Â© 5 2 T $ M 4 E J # U R 1 A Î´ K 5 W 6 % F Q 7 H P 8 Z
How many such numbers are there in the above arrangement each of which is immediately followed by a symbol but not immediately preceded by a consonant?  Choose the correct choice.
A) None  B) One  C) Two  D) Three  E) More than three

Solution: Explanation:   Consonant Number Symbol   There is no such combination.   NoneNSWER IS None
Answer: A
The residents of the town L participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of town L, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week? Choose the correct choice from the following answers
A) - 30
B) - 20
C) - 18
D) - 12
E) - 6

Solution: (21-6*2)<number of hours that Pat watched television last week <(21-6*1)   =9<P<15   Only option - 6 (12) satisfies this condition.
Answer: E
A can contains a mixture of liquids A and B is the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter W of liquid A was contained by the can initially?  Pick one.
A) 10
B) 20
C) 21
D) 25
E) 27

Solution: As A:B::7:5 ---> only option C is a multiple of 7 and hence it is a good place to start. Also A:B::7:5 means that , A = (712)*Total and B = (5/12)*Total   If A = 21 , B = 15 ---> remove 9 litres ---> you remove (7/12)*9 of A ---> A remaining = 21-(7/12)*9 = 63/4   Similarly, for B, you remove (5/12)*9 ---> B remaining = 15 - (5/12)*9 = 45/4 and then add 9 more litres of B ---> 9+45/4 = 81/4   Thus A/B (final ratio) = (45/4)/(81/4) = 7:9 , the same as the final ratio mentioned in the question.   Hence C is the correct answer.   A/B = 7/9 = (7x-(7/12)*9)/ (5x-(5/12)*9+9), where 7x and 5x are initial quantities of A and B respectively.   Thus, 7/9 = (7x-(7/12)*9)/ (5x-(5/12)*9+9) ---> giving you x=3. Thus A (original) W= 7*3 = 21.21
Answer: C
If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is?	Choose the correct answer:
A) 22
B) 40
C) 28
D) 21
E) 27

Solution: A.M. of 75 numbers = 35   Sum of 75 numbers = 75 * 35= 
75 * 35 = 2_625
2625   Total increase= 75 * 5= 
75 * 5 = 375
375   Increased sum= 2625 + 375= 
2625 + 375 = 3_000
3000   Increased average= 3000/75= 
3000/75 = 40
40.   Answer: 40
Answer: B
The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year? Choose the correct choice from the following answers
A) 1203
B) 2778
C) 1200
D) 2702
E) 2871

Solution: P --- 10 ---- 600   P --- 5 ----- 300   3P --- 5 ----- 900   ------   => 1200   Answer:1200
Answer: C
A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 30 minutes. What was the average rate of speed of the train on the return trip to Albany?  Choices
A) 31	B) 38.7	C) 35	D) 36	E) 39

Solution: 50*T =120 THEREFORE T = 120/50= 
120/50 = 12/5 = around 2.4
2.4   ON RETURN SPEED * ( 5.5 -2.4)=120 THEREFORE T = 120/3.1 =38.70   38.7
Answer: B
There are 10 books on a shelf: 7 English books, 3 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?	Choose the correct choice:
A) 31/90 B) 3/10 C) 1/3 D) 41/45 E) 28/90

Solution: Probability = Favourable outcome / Total Outcome = 1- (Unfavourable outcome / Total Outcome)   Favourable Outcomes   Case-1: One book is English (out of 7 English books) and one book is Spanish (out of 3 Spanish books) i.e. 7C1*3C1   Case-2: One book is Spanish (out of 3 Spanish books) and one book is Portuguese (out of 2 Portuguese books) i.e. 3C1*2C1   Case-3: One book is English (out of 7 English books) and one book is Portuguese (out of 2 Portuguese books) i.e. 7C1*2C1   Total favourable Outcomes = 7C1*3C1+3C1*2C1+7C1*2C1 =21+6+14= 
21+6+14 = 41
41   Total Possible Outcomes= 10C2 = 45   i.e. Probability = 41/45   41/45
Answer: D
If w, x, y, and z are four different prime numbers, which of the following is the smallest possible value of w + x + y + z?  Choose the correct choice from the following
A) 15	B) 17	C) 19	D) 21	E) 23

Solution: The sum of the four small smallest primes numbers is 2+3+5+7= 
2+3+5+7 = 17
17.   The answer is 17.
Answer: B
The remainder when 1!+2!+3!...+50! divided by 3! will be  Choose the correct choice from the following.
A) 21
B) 3
C) 77
D) 927
E) 19

Solution: The remainder when the terms greater than 3! are divided by 3! becomes 0 so we need to consider the terms upto 2!.   So remainder will be whatever is obtained by dividing 1!+2! with 3!.   So remainder is obtained by dividing  (1+2)= 
 (1+2) = 3
3 with 3! ( 9)   So remainder is 3.   Answer:3
Answer: B
A retailer buys 140 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ? Choose the correct choice from the following options.
A) 105 B) 155 C) 125 D) 185 E) 285

Solution: let the market price of each pen be $1   then, Cost Price of 140 pens = $ 36 Selling Price of 140 pens =99% of $140=$ 138.60   profit %=((102.60*100)/36)= 
((102.60*100)/36) = 285
285%   Answer 285
Answer: E
Two circular signs are to be painted. If the radius of the larger sign is four times that of the smaller sign, how many times more paint is needed to paint the larger sign? (We can assume that a given amount of paint covers the same area on both signs.)
Select:
A) 4
B) 8
C) 12
D) 16
E) 20

Solution: Let R be the radius of the smaller sign.   The area A of the smaller sign is A = piR^2.   The area of the larger sign is pi(4R)^2=16piR^2=16A.   Since the area is 16 times larger, we need 16 times more paint for the larger sign.   The answer is 16.
Answer: D
A scuba diver descends at a rate of 30 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 2400feet below the sea level..how long will he take to reach the ship?
Answers.
A) 70 minutes B) 72 minutes C) 80 minutes D) 76 minutes E) 77 minutes

Solution: Time taken to reach = 2400/30= 
2400/30 = 80
80 minutes   ANSWER:80 minutes
Answer: C