MU-NLPC/Calc-aqua_rat huggingface dataset:
The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 18,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?	Pick:	A) 5,476,811 kilometers squared	B) 8,500,148 kilometers squared	C) 9,843,123 kilometers squared	D) 1,878,965 kilometers squared	E) 4,787,900 kilometers squared

Solution: he difference between the areas of Russia and China is given by   18,098,242 - 9,598,094 = 8,500,148 kilometers squared   correct answer 8,500,148 kilometers squared
Answer: B
On a scale that measures the intensity of a certain phenomenon, a reading of n+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?  Choose the correct choice from the following.
A) 5
B) 50
C) 10^5
D) 5^10
E) 8^10 - 3^10

Solution: For n=3, consider the intensity to be x.   For n+1 = 4 , we have [intensity*10 ]= 10x   For n+2 = 5 , we have [10x*10 ]= 100x   For n+3  10 *10= 
 10 *10 = 100
100x   For n+3= 6 , we have [100x*10 ]= 1000x   For n+4  100 *10= 
 100 *10 = 1_000
1000x   For n+4= 7 , we have [1000x*10 ]= 10000x   For n+5  1000 *10= 
 1000 *10 = 10_000
10000x   For n+5= 8 , we have [10000x*10 ]= 100000x   Now , for n  10000 *10= 
 10000 *10 = 100_000
100000x   Now , for n= 8 -->100000x = 10^5 x   which is 10^5 times x, the original intensity at n=3   ANSWER:10^5
Answer: C
If it takes a tub 4 minutes to drain 5/7 of its content, how much more time will it take for the tub to be empty? Choose the correct choice from the following answers:
A) 48 seconds  B) 1 minute, 12 seconds  C) 1 minute, 36 seconds  D) 2 minutes, 14 seconds  E) 4 minutes, 12 seconds

Solution: If 5/7 of tub's content is drained 2/7 th of tub still needs to be drained.   If it takes 4 minutes to drain 5/7 th of tub it takes 4*(7/5) minutes to drain the entire tub and 4*(7/5)*(2/7) min to drain 2/7 th of the tub which is 8/5 minutes or 1 3/5 minutes or 1 minute 36 seconds   So answer is 1 minute, 36 seconds
Answer: C
if none of the figures 2,4,5,7,8,0 be repeated,how many different numbers of 4 digits can be formed wiyh them.?	Choose the correct choice from the following answers
A) 150 B) 200 C) 250 D) 300 E) 350

Solution: here 1st place can be filled by five ways(i.e any one from 2,4,5,7,8),and second place will be again in 5 ways (remaining from 6 digits ,6-1=5) and next place in 4 ways ,and again in 3 ways so ans will be 5*5*4*3= 
5*5*4*3 = 300
300   ANSWER:300
Answer: D
Find the least multiple of 23,which when divided by 18,21 and 24 leaves remainders 7,10 and 13 respectively.  Choose one
A) 3002 B) 3013 C) 3024 D) 3036 E) None of these

Solution: Solution   Here (18 - 7)= 
(18 - 7) = 11
11, (21 - 10)= 11 and   (24 - 13)= 
  (24 - 13) = 11
11. L.C.M. of 18,21 and 24 is 504.   Let required number be 504 k - 11.   Least value of k for which (504 k - 11 ) is divisible 23 is k= 6.   So, Required number = 504 × 6 - 11 =3024 - 11= 
3024 - 11 = 3_013
3013.   Answer 3013
Answer: B
At a kennel with 80 dogs, 45 of the dogs wear tags and 40 wear flea collars. If 6 of the dogs wear both, then how many of the dogs wear neither a collar nor tags? Choose the correct choice from the following: A) 1 B) 6 C) 34 D) 79 E) 85

Solution: Dogs wear neither a collar nor tags = 80 - ( 45 + 40 - 6 )   Dogs wear neither a collar nor tags = 80 - 79   Dogs wear neither a collar nor tags = 80 - 79   Hence, answer will be 1   1NSWER:1
Answer: A
The difference between a two-digit number and the number after interchanging the position of the two digits is 36. What is the difference between the two digits of the number?	Pick one:
A) 4
B) 6
C) 3
D) Cannot be determined
E) None of these

Solution: Let the two-digit no. be l0x + y.   Then, (10x + y) – (10y + x) = 36   or, 9(x – y) = 36   or, x – y = 4   4nswer 4
Answer: A
3 litre of water is added to 11 litre of a solution containing 42% of alcohol in the water. The percentage of alcohol in the new mixture is?	Choose the correct choice from the following options:
A) 30%	B) 33%	C) 35%	D) 40%	E) 45%

Solution: We have a 11 litre solution containing 42% of alcohol in the water.   => Quantity of alcohol in the solution   =   11   ×   42   100   =11×42100   Now 3 litre of water is added to the solution.   => Total quantity of the new solution = 11 + 3= 
11 + 3 = 14
14   Percentage of alcohol in the new solution=   11   ×   42   100   14   ×   100   =11×4210014×100   =   11   ×   3   100   =   33%   33%)
Answer: B
The population of a town is 10000. It increases annually at the rate of 27% p.a. What will be its population after 2 years? Select.
A) 14000	B) 14400	C) 16129	D) 14600	E) 14700

Solution: Formula :   10000 × 127/100 × 127/100 = 16129   Answer : 16129
Answer: C
Find the no of ways in which 6 toffees can be distributed over 5 different people namely A,B,C,D,E.  Choose one.
A) 210 B) 211 C) 212 D) 213 E) 214

Solution: acc to formula (n+r-1)C (r-1) = (6+5-1)C(5-1)   =10C4 = 210   210NSWER:210
Answer: A
The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $6.80. 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) $4.50
B) $5.10
C) $5.30
D) $5.50
E) $6.50

Solution: I Tried using Time/Rate approach:-   Initial Price Difference = 6.80 - 3.20= 
6.80 - 3.20 = 3.6
3.60   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 GAP is filled so,   3.6 = T(5.4x) -> T= (3.6)/5.4X   Final Price = 3.20 + 5X * T -> 3.20 + 5*3.6/5.4 = 6.5   Answer $6.50.
Answer: E
The three competitors in a race have to be randomly chosen from a group of four men and three women. How many different such trios contain at least one woman?  Pick one:
A) 10
B) 15
C) 16
D) 31
E) 46

Solution: The total number of ways to choose three runners 7C3 = 35   The number of trios with only males is 4C3 = 4   The number of trios which include at least one woman is 31.   The answer is 31.
Answer: D
Four percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh between 100 and 200 pounds? Choose the correct choice from the following options.
A) 15%  B) 20%  C) 25%  D) 60%  E) 72%

Solution: Initially 96% and 4% split   80% is further divided as 25% and 75%   Q is asking about that 75%   let total be '100' then that 75% is (3/4)∗96   so, the required % is [(3/4)∗96/100]∗100 = 72%   ANSW72%R:72%
Answer: E
There are three guys who have equal number of bullets. All of them shoot 12 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
Answers:
A) 18  B) 19  C) 30  D) 45  E) 54

Solution: let initially each was having x bullets   they shot 12 bullets   so 3x-36=x   x=18   so each was having 18 bullets.   total was 54.   ANSW54R:54
Answer: E
What is the sum of all four digit integers formed using the digits 3 ,4 ,5 and 6 (repetition is allowed) Choose the correct choice from the following.
A) 1279874	B) 1279872	C) 1279875	D) 1279876	E) 1279870

Solution: n = 4 * 4 * 4 * 4= 
4 * 4 * 4 * 4 = 256
256   <x></x>= (6666 + 3333) / 2= 
(6666 + 3333) / 2 = 9_999/2 = around 4_999.5
4999.5   Sum= number of integers x average value   n * <x> </x>= 256 * 4999.5= 
256 * 4999.5 = 1_279_872
1279872   answer= 1279872
Answer: B
Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?	Choose the correct choice from the following answers
A) 015
B) 28
C) 17
D) 19
E) 11

Solution: Explanation:   x + y = 80   x â€“ 4y = 5   x = 65 y = 15   015nswer:015
Answer: A
Y invested $1000 in a business and Z invested $3000 in a business. At the end of the year they got $4000 as the profit. Find their share?	Choose the correct choice from the following options.
A) $1000,$2000
B) $2000,$3000
C) $1000,$3000
D) $2000,$3000
E) $3000,$4000

Solution: Y:Z = 1000:3000   Y:Z = 1:3   Y's share = 4000*1/4= 
4000*1/4 = 1_000
$1000   Z's share= 4000*3/4= 
4000*3/4 = 3_000
$3000   Answer is $1000,$3000
Answer: C
If the price of petrol increases by 25% and Bill intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased? Choose the correct choice from the following answers:
A) A)8%
B) B)7%
C) C)10%
D) D)6%
E) E)9%

Solution: Explanation:   8%ssume that the initial price of 1 Litre petrol = Rs.100 ,Bill spends Rs.100 for petrol,   such that Bill buys 1 litre of petrol   8%fter the increase by 25%, price of 1 Litre petrol = 100 × (100+25)/100 = Rs.125   Since Bill spends additional 15% on petrol,   amount spent by Bill = 100× (100+15)/100 = Rs.115   Hence Quantity of petrol that he can purchase = 115/125 Litre   Quantity of petrol reduced = (1−115/125) Litre   Percentage Quantity of reduction = (1−115125)/1 × 100 = 10/125 × 100 = 105 × 4 = 2 × 4 = 8%   8%nswer: Option 8%
Answer: A
A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?  Choices
A) 1266 B) 2887 C) 2668 D) 1200 E) 1765

Solution: Let the parts be x, y and [2600 - (x + y)].   Then,   (x * 4 * 1)/100 = (y * 6 * 1)/100 = {[2600 - (x + y)] * 8 * 1}/100   y/x = 4/6 = 2/3 or y = 2/3 x   So, (x * 4 * 1)/100 = [(2600 - 5/3 x) * 80/100   52x = (7800 * 8) => x = 1200   Money invested at 4% = Rs. 1200.   Answer:1200
Answer: D
What is the difference between the place value of 2 in the numeral 7889? Choices.
A) 160 B) 165 C) 180 D) 190 E) 720

Solution: Answer: Option '720'    800 - 80= 
 800 - 80 = 720
720
Answer: E
If two balls are randomly selected from a green urn containing 7 black and 7 white balls and placed into a yellow urn initially containing 5 black and 3 white balls. What is the probability that the yellow urn will contain an equal number of black and white balls after the change?
Choose the correct choice from the following options:	A) A.2/9	B) B.4/9	C) C.3/13	D) D.1/3	E) E.1/9

Solution: To have equal number of black and white balls, the yellow urn must have 5 black and 5 white balls. So the balls we select out of the green urn must be both white.   Probability (first ball is white) = 7/14   Probability(second ball is white) = 6/13   Probability (both balls are white) = (7/14)*(6/13) = 3/13   Answer C.3/13
Answer: C
What is the probability of rolling a total of 4 with a single roll of two fair six-sided dice, each with the distinct numbers 1 through 6 on each side?
Choose the correct choice from the following answers:
A) 1/12	B) 1/6	C) 2/7	D) 1/3	E) 1/2

Solution: Totalsample spacefrom two fair six-sided dice is 36.   There are six possible ways to be 7 i.e. (1+3), (2+2), (3+1)   So, total probability is 3/36 or 1/12.   1/12nswer is 1/12.
Answer: A
The age of man is three times the sum of the ages of his two sons. Six years hence,his age will be double of the sum of the ages of his sons.The fatherâ€™s present age is :
Select.
A) 40 years	B) 45 years	C) 50 years	D) 54 years	E) 75 years

Solution: Solution   Let the sum of present ages of the two sons be x years.   Then,father's present age = 3x years.   âˆ´ (3x + 6)=2 (x +12) â‡” 3x + 6 = 2x + 24â‡” x =18.   Hence,father's present age = 54 years. Answer 54 years
Answer: D
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 14000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is	Pick one:  A) 20  B) 21  C) 22  D) 28  E) NONE

Solution: Sol.   Let the total number of workers be x. Then,   8000x = (14000 × 7) + 6000 ( x – 7)   ‹=› 2000x = 56000   ‹=› x = 28.   Answer 28
Answer: D
A gang of 8 boys goes on an tour in 2 cars, of which 1 canseat 5 & the other only 4. In how many ways can they travel?  Choose the correct choice from the following choices
A) 110	B) 130	C) 126	D) 135	E) 156

Solution: There are 8 students and the maximum capacity of the cars together is 9.   We may divide the 8 students as follows   Case I: 5 students in the first car and 3 in the second   Or Case II: 4 students in the first car and 4 in the second   Hence, in Case I: 8 students are divided into groups of 5 and 3 in8C3 ways.   Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in 8C4ways.   Therefore, the total number of ways in which 8 students can travel is:   \inline {\color{Blue}8126_{3}+8126_{4}}=56 + 70= 
56 + 70 = 126
126   126
Answer: C
A sum of money at simple interest amounts to 815 in 3 years and to 854 in 4 years. The sum is:
Choose the correct choice from the following answers
A) 698  B) 387  C) 373  D) 593  E) 372

Solution: A   698   S.I. for 1 year = (854 - 815)= 
(854 - 815) = 39
39.   S.I. for 3 years= (39 x 3) = 117.   Principal = (815 - 117)= 
(815 - 117) = 698
698.
Answer: A
What is the are of an equilateral triangle of side 16 cm?
Choose the correct choice.
A) 64√3	B) 64√7	C) 64√5	D) 64√3	E) 64√1

Solution: Area of an equilateral triangle = √3/4 S2   If S = 16, Area of triangle = √3/4 * 16 * 16   = 64√3 cm2;   Answer:64√3
Answer: D
In a certain school, the ratio of boys to girls is 5 to 13. If there are 80 more girls than boys, how many boys are there?
Pick one.
A) 27 B) 36 C) 45 D) 50 E) 117

Solution: The ratio of b to G is 5:13 and the other data point is G are more than boys by 80...   Looking at the ratio we can say that the 8(13-5) extra parts caused this diff of 80. so 1 part corresponds to 80/8= 
80/8 = 10
10 and so   5 parts correspond to 5*10= 
5*10 = 50
50.   50
Answer: D
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?  Choose the correct choice from the following options.
A) 165 ways
B) 196 ways
C) 156 ways
D) 186 ways
E) 618 ways

Solution: Total number of persons in the committee   = 5 + 6= 
5 + 6 = 11
11   Number of ways of selecting group of eight persons= ¹¹C₈ = ¹¹C₃   = (11 * 10 * 9)/(3 * 2)= 
(11 * 10 * 9)/(3 * 2) = 165
165 ways.   165 waysnswer:165 ways
Answer: A
Find the unit's digit in the product 2467 153 * 34172?  Select the correct option:  A) 1  B) 2  C) 3  D) 6  E) 7

Solution: Unit's digit in the given product=Unit's digit in 7 153 * 172   Now 7 4 gives unit digit 1   7 152 gives unit digit 1   7 153 gives  1*7= 
 1*7 = 7
7.Also 172 gives 1   Hence unit's digit in the product=7*1= 
7*1 = 7
7.   ANSW7R 7
Answer: E
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Pick one.
A) 100/7 sec B) 80/7 sec C) 57/7 sec D) 120/7 sec E) 50/7 sec

Solution: Relative speed = (54 + 72)* 5/18 = 7 * 5= 
7 * 5 = 35
35 mps.   The time required= d/s = (100 + 100 + 300)/35   = 500/35 = 100/7 sec.   100/7 secNSWER:100/7 sec
Answer: A
There is a point P on the circle. A and B started running in two constant different speeds. A in Clockwise and B in Anti-clockwise. First time 500 m in Clockwise from P then 400 Anti-clockwise. If B is yet to complete one round, What is the circumference of the circle?	Choose the correct option
A) 700 B) 800 C) 900 D) 1000 E) 1100

Solution: Let the speeds of A & B be u and v resp. and let circumference be C.   Let their first meeting be after time t then ut+vt = C and ut = 500   ∴ vt = C−500 and u/v = 500/(C−500)   For their second meeting after time T, uT+vT = 2C and vT = 400   ∴ uT = 2C−400 and u/v = (2C−400 )/400   Hence 500/(C−500) = (2C−400) /400   Simplifying, 100000 = (C−200)(C−500) = C²−700C+100000 → C=700   700NSWER:700
Answer: A
It is required to seat 3 boys and 2 girls in a row so that the girls occupy the even places. How many such arrangements are possible?	Choose the correct choice.
A) 2880  B) 2148  C) 3680  D) 3280  E) 96

Solution: Total number of candidates = 3 + 2= 
3 + 2 = 5
5. In the row of 5 positions, the even places are 2nd, 4th.   Now, number of even places= 2.   Number of girls to occupy the even places = 2.   Even places can be filled = P (2, 2) ways.   Number of boys = 3.   The remaining 3 places can be filled by 3 boys = P (3, 3) ways   By the fundamental principle of counting:   The required number of seating arrangements   P(2, 2) x P(3, 3) = 2! x 4! = 4 x 24 = 96   ANSW96R:96
Answer: E
What is the smallest integer z for which 27^z> 3^24? Select
A) 7	B) 8	C) 9	D) 10	E) 12

Solution: 27^z> 3^24   9onverting into the same bases:   27^z> 27^8   Therefore for the equation to hold true, z> 8 or z= 9   Option 9
Answer: C
Its festive time and all big companies are offering the big discount especially on iPhone whose price is staggering Rs. 65,000.
Following is the offer from the three major companies in India.
: Amazon offers Flat 65% discount
: Flipkart offers 10% discount over and over again.
: Snapdeal offers RS 42,000 off.
Which is the best offer for you ? Choose the correct choice from the following answers:
A) Flipkart
B) Amazon
C) Snapdeal
D) All
E) None of Above

Solution: Flipkart   Explanation:   Flipkart : 22664, Flipkartmazon: 22750 and Snapdeal: 23000   SnapDeal discount :    65000 - 42000= 
 65000 - 42000 = 23_000
23000   Flipkartmazon 65% discount :   35/100 * 65000= 
35/100 * 65000 = 22_750
22750   Flipkart 10% recursive discount:   Flipkartfter 1st 10% discount, Flipkartmount is 58500   Flipkartfter 2nd 10% discount, Flipkartmount is 52650   Flipkartfter 3rd 10% discount, Flipkartmount is 47385   Flipkartfter 4th 10% discount, Flipkartmount is 42646.5   Flipkartfter 5th 10% discount, Flipkartmount is 38381.85   Flipkartfter 6th 10% discount, Flipkartmount is 34543.665   Flipkartfter 7th 10% discount, Flipkartmount is 31089.2985   Flipkartfter 8th 10% discount, Flipkartmount is 27980.36865   Flipkartfter 9th 10% discount, Flipkartmount is 25182.331785   Flipkartfter 10th 10% discount, Flipkartmount is 22664.0986065
Answer: A
300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 45% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase?	Choose the correct choice:
A) 15 B) 25 C) 13 D) 45 E) 75

Solution: Out of 300 - 180 purchased for less than 100$120 for more   Out of 300 - 120 responded as satisfied and 180 responded disatisfied   Out of 180 ( Purchased less than 100$) - 45% = 81 responded as satisfied, So remaining Satisfied are  120 - 81= 
 120 - 81 = 39
39   so 39 is what percentage of 300 - 13%   So the answer should be 13
Answer: C
A retailer set the tag price of an item at $200. On a certain public holiday, the retailer set a 20% discount on the tag price, thinking that he will still make a profit equal to 25% of the price he had originally paid for the item. How much did the retailer originally pay for the item?	Choose the most appropriate option
A) $96	B) $120	C) $128	D) $144	E) $160

Solution: Price Tagged : $200   Price after discount = $160 = Original Price + 25% Extra   Original Price = x   So, 1.25 x = 160   or x = 128. Hence, $128
Answer: C
Find the compound interest on $1000 in 2years at 4% per annum, the interest being compounded half-yearly?
Choose the correct choice.
A) $645.56
B) $82.43
C) $954.26
D) $745.69
E) $1020.45

Solution: Principle = $10000   Rate = 2% half yearly = 4 half years   Amount = 1000*(1 + 2/100)^4 = 1000 * 51/50 * 51/50 * 51/50 * 51/50   = $1082.43   C.I. = 1082.43-1000= 
1082.43-1000 = 82.43
$82.43   Answer is $82.43
Answer: B
The average weight of 8 girls increases by 3 kg when a new girl comes in place of one of them weighing 70 kg. What might be the weight of the new girl? Choose the correct choice from the following options:
A) 94 kg	B) 95 kg	C) 96 kg	D) 97 kg	E) 98 kg

Solution: Total weight increased = 8 x 3 kg = 24 kg.   Weight of new person = 70 + 24= 
70 + 24 = 94
94 kg   94 kgnswer : 94 kg
Answer: A
A package contains 8 black and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?  Select the correct option
A) 3/5
B) 5/9
C) 6/8
D) 7/9
E) 1/3

Solution: Let number of balls = (8+10)= 
(8+10) = 18
18.   Number of white balls= 10.   P (drawing a white ball) =	10/18	=	5/9   5/9
Answer: B
A coin is tossed live times. What is the probability that there is at the least one tail?
Choose the correct choice from the following answers: A) 31/32 B) 31/37 C) 31/18 D) 31/10 E) 31/19

Solution: Let P(T) be the probability of getting least one tail when the coin is tossed five times.   = There is not even a single tail.   i.e. all the outcomes are heads.   = 1/32 ; P(T) = 1 - 1/32 = 31/32   31/32nswer: 31/32
Answer: A
When positive integer B is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer? Select the correct option
A) a. k + 1	B) b. k -11	C) c. 4k + 2	D) d. (k-3)/3 +2	E) e. B/3

Solution: When positive integer B is divided by 6 the remainder is 3   So, B could equal 3, 9, 15, 21, etc   let's TEST B =3   a.3+ 1 = 4 (EVEN)   b.3-11 = -8 (EVEN)   c. 4(3) + 2 = 14 (EVEN)   d. (3-3)/3 +2 = 2 (EVEN)   At this point, we can already see the answer must be E.   Let's check e. B/3 forfun   e.3/3 = 1 (ODD)   Great!   Answer: e. B/3
Answer: E
If an average hard drive had a capacity of 0.2 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050? Choose the correct choice from the following answers:
A) 256	B) 5122	C) 768	D) 2048	E) 1536

Solution: 0.2*2^10=0.2*1024= 
0.2*1024 = 204.8
204.8   The answer is 2048.
Answer: D
A palindrome is a number that reads the same forward and backward, such as 121. How many odd, 4-digit numbers are palindromes?  Select:
A) 40 B) 45 C) 50 D) 90 E) 2500

Solution: First recognize you only need to consider the first two digits (because the second two are just the first two flipped)   There are 90 possibilities for the first two digits of a 4 digit number, 10-99 inclusive. Everything starting with a 1,3,5,7,9 will be odd, which is 5/9ths of the combinations.   5/9*90= 
5/9*90 = 50
50   ANSWER:50
Answer: C
A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the R % profit made by the merchant?  Pick one:  A) 66.67 %  B) 50 %  C) 200 %  D) 100 %  E) 33.33 %

Solution: C.P of 1 article= $30(say)   C.P of 20 articles=30*20= 
30*20 = 600
$600   Now, C.P of 20 articles=Profit on 30 articles   Therefore, profit on 1 article=$600/30= 
600/30 = 20
$20   Profit R%=(20/30)*100=66.67%   66.67 %nswer 66.67 %
Answer: A
If 3 men or 4 women can reap a field in 43 days how long will 7 men and 5 women take to reap it?
Choose the most appropriate option:
A) 9 B) 12 C) 15 D) 18 E) 19

Solution: Explanation:   3 men reap 1/43 field in 1 day   1 man reap 1/(3 x 43)   4 women reap 1/43 field in 1 day   1 woman reap 1/(43 x 4)   7 men and 5 women reap (7/(3 x 43)+ 5/(4 x 43)) =1/12 in 1 day   7 men and 5 women will reap the field in 12 days   Answer: Option 12
Answer: B
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 840?  Choose the correct answer
A) 15	B) 48	C) 64	D) 84	E) 105

Solution: n includes the factors 2^2 (but not 2^3) and 3 (but not 3^2 or 5)   840 = 8*3*5*7   The GCF could be 12 or 84.   The answer is 84.
Answer: D