MU-NLPC/Calc-aqua_rat huggingface dataset:
In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability R that the worker is under 25 years old?	Choose one
A) 0.30
B) 0.25
C) 0.45
D) 0.70
E) 0.90

Solution: Percentage of male worker = 48   Percentage of female worker = 52   Let total number of workers = 1000   number of male workers= 480   number of female workers = 520   Number of male age 25 or older = (4/10)*480= 
(4/10)*480 = 192
192   Number of female age 25 or older=(2/10)*520= 
(2/10)*520 = 104
104   Total number of workers 25 or older= 192+104= 
192+104 = 296
296   Total number of workers under 25= 1000 - 296= 
1000 - 296 = 704
704   Probability that a worker randomly selected is under 25 years old= 704/1000= 
704/1000 = 88/125 = around 0.704
.704   Alternatively , since the answer options are not close , we can use estimation here .   Percentage of male worker 25 or older= (4/10)*48 = 20 % approx   Percentage of female worker 25 or older = (2/10)*52 = 10 % approx   Percentage of total worker 25 or older = 30 %   Percentage of total worker under 25 = 70 %   Probability that a worker randomly selected is under 25 years old R= .7   Answer 0.70
Answer: D
If 76 is divided into four parts proportional to 7, 5, 3, 4 then the smallest part is  Answers:
A) 12
B) 15
C) 16
D) 19
E) 20

Solution: Sol.   Given ratio = 7 : 5 : 3 : 4, Sum of ratio terms = 19.   ∴ Smallest part =[76x3/19] = 12.   12nswer 12
Answer: A
The H.C.F of two numbers is 36 and their L.C.M is 1600. If one of the numbers is 160, find the other?	Choose one: A) 320 B) 350 C) 360 D) 330 E) 320

Solution: Explanation:   The other number is = 36 * 1600/160= 
36 * 1600/160 = 360
360   Answer: Option 360
Answer: C
The function f(W) represents the number of ways that prime numbers can be uniquely summed to form a certain number W such that W = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)? Choose one:
A) 4  B) 5  C) 6  D) 7  E) 8

Solution: So It is better to start with 2 and check whether sum of two primes is primes is even.   1) 2(6 times)   2) 2(3 times) + 3(2 times)   3) 2(2 times) + 3 + 5   4) 2 + 3 + 7   5) 2 + 5 + 5   6) 3(4 times)   7) 5 + 7   Answer: 7
Answer: D
Which of the following is closest to 1/3+1/33+1/333	Select.
A) 2/3  B) 1/3  C) 1/4  D) 1/6  E) 1/5

Solution: 1/3+1/33+1/333=0.33+0.03+0.003=0.333=1/3   Answer 1/3
Answer: B
When you draw 2 dices together, find the probability of getting a total of 6?	Choices
A) 3/13	B) 2/31	C) 5/36	D) 7/41	E) 7/43

Solution: S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}   N (S) = 36   Set of total of 6, A = {(1,5), (5,1), (2,4), (4,2), (3,3)}; N (A) = 5   P (total of 6) = N(A)N(S)N(A)N(S) = 5/36   5/36
Answer: C
Find the area of a parallelogram with base 34 cm and height 18 cm?  Choose the most appropriate option.
A) 198 cm2 B) 384 cm2 C) 510 cm2 D) 612 cm2 E) 680 cm2

Solution: Area of a parallelogram   = base * height   = 34 * 18= 
34 * 18 = 612
612 cm2   Answer:612 cm2
Answer: D
The sum of three consecutive multiples of 3 is 90. What is the largest number?	Choose one: A) 30 B) 33 C) 36 D) 39 E) 42

Solution: Let the numbers be 3x, 3x + 3 and 3x + 6.   Then,   3x + (3x + 3) + (3x + 6) = 90   9x = 81   x = 9   Largest number = 3x + 6 = 33   Answer : 33
Answer: B
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases? Choices.
A) 8:8 B) 8:7 C) 8:1 D) 8:2 E) 8:6

Solution: Let the length and breadth of the carpet in the first case be 3x units and 2x units respectively.   Let the dimensions of the carpet in the second case be 7y, 3y units respectively.   From the data,.   2(3x + 2x) = 2(7y + 3y)   => 5x = 10y   => x = 2y   Required ratio of the areas of the carpet in both the cases   = 3x * 2x : 7y : 3y   = 6x2 : 21y2   = 6 * (2y)2 : 21y2   = 6 * 4y2 : 21y2   = 8:7   Answer: 8:7
Answer: B
After taking N tests, each containing 100 questions, John had an average of 70% of correct answers. How much does John need to score on the next test to make his average equal 74%?
M13-03.
Options
A) N−35 B) N+72 C) 2N+76 D) 2N+70 E) 2N−35

Solution: Say N=1.   So, after 1 test John has 70 correct answers.   In 2 tests, so in 200 questions he needs to have  0.74*200= 
 0.74*200 = 148
148 correct answers, so in the second test he must get   148-70= 
  148-70 = 78
78 questions correctly.   Now, plug N=1 into the answer choices to see which one yields 78. Only option D fits.   Answer: 2N+76.
Answer: C
What is the units' digit of the following expression (13)^5*(15)^4*(17)^5?
Choices: A) 0 B) 1 C) 3 D) 5 E) 9

Solution: The unit digit of 3^5 is 3.   The unit digit of 5^4 is 5   the unit digit of 7^5 is 7.   The unit digit of 3∗5∗7 is 5.   Answer 5.
Answer: D
By selling an article for $180, a person gains $30. What is the gain %?
Choose the correct option
A) 25%	B) 30%	C) 50%	D) 20%	E) 10%

Solution: S.P. = $180   Gain = $30   C.P. = 180-30= 
180-30 = 150
150   Gain%= 30/150 * 100= 
30/150 * 100 = 20
20%   Answer is 20%
Answer: D
All of the stocks on the over-the-counter market are designated by either a 6-letter or a 7-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choose the correct choice from the following.
A) 2(26^5) B) 26(26^4) C) 27(26^4) D) 26(26^5) E) 27(26^6)

Solution: Number of 4-letter codes: 26 * 26 * 26 * 26 * 26 * 26= 26^6   Number of 5-letter codes: 26 * 26 * 26 * 26 * 26 * 26 *26= 26^7   Total Number of codes: 26^6 + 26^7 = 26^6 + 26*(26^6) = 27*(26^6)   Therefore, the answer is27(26^6): 27*(26^6).
Answer: E
What will come in place of the x in the following Number series? 6, 12, 21, x , 48
Pick:	A) 33	B) 45	C) 49	D) 53	E) 61

Solution: (A)   The pattern is + 6, + 9, + 12, +15 ………..   So the missing term is = 21 + 12= 
21 + 12 = 33
33
Answer: A
The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 2/5 of that total. What was the price of the basic computer?  Select
A) 1300  B) 1600  C) 1750  D) 1900  E) 2000

Solution: Let the price of basic computer be C and the price of the printer be P: C+P=$2,500.   The price of the enhanced computer will be C+500 and total price for that computer and the printer will be 2,500+500=$3,000. Now, we are told that the price of the printer is 2/5 of that new total price: P=2/5*$3,000=$1200.   Plug this value in the first equation: C+1200=$2,500 --> C=$1,300.   1300nswer: 1300.
Answer: A
A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $234 for it, the cost price of the Cricket Bat for A is: Select:
A) 156
B) 120
C) 130
D) 160
E) 210

Solution: 125% of 120% of A = 234   125/100 * 120/100 * A = 234   A = 234 * 2/3= 
234 * 2/3 = 156
156.   156NSWER 156
Answer: A
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?  Pick:
A) 17 Kmph
B) 78 Kmph
C) 72 Kmph
D) 18 Kmph
E) 19 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 400/20= 
400/20 = 20
20 M/Sec   Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 72 Kmph   Answer: 72 Kmph
Answer: C
Select the one which is different from other Four alternatives. Choose the correct choice from the following choices
A) ROAD	B) BOARD	C) DOOR	D) SET	E) WINDOW

Solution: SET   All the option has two vowels but option (SET) has only one vowel
Answer: D
Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 729^5?
Choose the correct choice from the following options
A) 5	B) 8	C) 10	D) 15	E) 30

Solution: 729 = 3*3*3*3*3*3== 3^36   729^5 =(3^6)^5   =3^30   we have to find the greatest positive integer value for x   when x=30, it divides exactly once and that is the least positive integer value of the quotient   therefore, the correct option is 30
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 the correct choice.
A) 1
B) 1/256
C) 81/256
D) 175/256
E) 2

Solution: Solution:   The man will hit the target even if he hits it once or twice or thrice or all four times in the four shots that he takes.   So, the only case where the man will not hit the target is when he fails to hit the target even in one of the four shots that he takes.   The probability that he will not hit the target in one shot =1 - Probability that he will hit target in exact one shot   =1 -1/4   =3/4   Therefore, the probability that he will not hit the target in all the four shots   =(3/4)Ã—(3/4)Ã—(3/4)Ã—(3/4)=81/256   Hence, the probability that he will hit the target at least in one of the four shots:   =1-81/256   =175/256   ANSWER IS 175/256
Answer: D
John's Bank's saving amount is decreased 50% due to loan payment and current balance is Rs.50000. Find the actual balance before deduction?  Choose the correct choice from the following options.
A) 100000  B) 8500  C) 9000  D) 9500  E) 10000

Solution: 50% decreased   50% Balance = 50000   100% = 50000/50*100= 
50000/50*100 = 100_000
100000   100000nswer : 100000
Answer: A
16 balls are numbered 1 to 16. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?
Choose the correct option:
A) 4/11
B) 5/17
C) 6/25
D) 7/30
E) 8/37

Solution: P(1st ball is even) = 8/16   P(2nd ball is also even) = 7/15   P(both balls are even) = 8/16 * 7/15 = 7/30   The answer is 7/30.
Answer: D
The wages earned by Robin is 35% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much % is the wages earned by Charles more than that earned by Robin?
Choose the correct choice from the following answers.
A) 25.92% B) 18.75% C) 30% D) 50% E) 100%

Solution: Explanatory Answer   Let the wages earned by Erica be $100   Then, wages earned by Robin and Charles will be $135 and $160 respectively.   Charles earns $35 more than Robin who earns $135.   Therefore, Charles' wage is 35/135*100 = 25.92%.   The correct choice is (25.92%)
Answer: A
A four-character password consists of one letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible? Choose the correct choice from the following:
A) 5,040	B) 18,720	C) 26,000	D) 37,440	E) 52,000

Solution: 4 character password: DLDD   First digit can be chosen in 10 ways.   The letter can be chosen in 26 ways.   Next digit can be chosen in 9 ways.   Next digit can be chosen in 8 ways.   This gives us 10*26*9*8ways   Now, the letter can also be 37,44037,440L37,440 so there will be another 10*9*26*8 ways   Total = 10*26*9*8*2 = 37,440 ways   ANS:37,440
Answer: D
A can do a work in 20days, B in 30days. A alone start the work after 10days he left work. In how many days B can finish the work?  Pick one:  A) 30days  B) 25days  C) 20days  D) 10days  E) 15days

Solution: 10days work of A = 10/20 = 1/2   remaining work = 1-1/2 = 1/2   B can finish 1/2 work = 30*1/2= 
30*1/2 = 15
15days   Answer is 15days
Answer: E
If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units U digit of (a+2)^2?
Pick:
A) 1
B) 3
C) 5
D) 6
E) C. 14

Solution: I also got A. By punching in numers:   U...7^2=...9   ...8^2=...4   ...9^2=...1.1
Answer: A
How many of the positive divisors G of 120 are also multiples of 4 not including 120?	Choose the most appropriate option:
A) 3.
B) 4.
C) 5.
D) 7.
E) 8.

Solution: 4,8,12,20,24,40,60. (7) is the answer   Other way : factors of 120 = 2^3 * 3*5   Separate 2^2 ( which means 4)   Now, calculate the number of other factors.   G=2*3*5 = total positive factors are 2*2*2= 
2*2*2 = 8
8   This 8 factors include 120   So subtract 1 from 8   Ans is 7=7.
Answer: D
Look at this series: 439,404, 369, 334, 299, 264 ... What number should come next?
Choose the correct choice from the following choices
A) 206
B) 208
C) 206
D) 229
E) 204

Solution: 229   This is a simple subtraction series. Each number is 35 less than the previous number.   229
Answer: D
The side of a square is increased by 25% then how much % does its area increases?
Choose the correct option.
A) 56.75 %
B) 56.25 %
C) 53.85 %
D) 57.25 %
E) 56.21 %

Solution: a = 100 a2 = 10000   a = 125 a2 = 15625   ----------------   10000 --------- 5625   100 -------? => 56.25 %   Answer:56.25 %
Answer: B
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives: Select:
A) Rs. 8400	B) Rs. 11,900	C) Rs. 13,600	D) Rs. 14,700	E) Rs. 14,900

Solution: Let C = x.   Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.   So, x + x + 5000 + x + 9000 = 50000   3x = 36000   x = 12000   A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.   A's share = Rs.(35000 x21/50) = Rs. 14,700.   Answer:Rs. 14,700
Answer: D
A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is -3, what is the value of x? Select the correct option:
A) -4  B) -1 and -3  C) 2  D) 4  E) Cannot be determined.

Solution: A number x is multiplied with itself --> X^2   added to the product of 4 and x --> X^2+4X   If the result of these two operations is -3 --> X^2+4X=-3   i.e X^2+4X+3=0 is the Quadratic equation which needs to be solved.   (X+1)(X+3) = 0   Hence X=-1. X=-3   IMO -1 and -3
Answer: B
When y is divided by 276, the remainder is 44. What is the remainder when the same y is divided by 23? Choose the correct choice from the following
A) 19 B) 20 C) 21 D) 22 E) 23

Solution: y = 276*a + 44 = (23*12)*a + 23 + 21   The answer is 21.
Answer: C
If the average of 5 positive integers is 45 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?  Answers.
A) 50
B) 53
C) 49
D) 48
E) 44

Solution: Sum of 5 Integer (a, b, c, d, e) = 5*45= 
5*45 = 225
225   e - a= 10   i.e. e = a+10   For e to be maximum remaining 4 MUST be as small as possible   Since smallest of 5 numbers is a so to minimize other numbers we can take them equal to the smallest of 5 numbers   i.e. a+a+a+a+(a+10) = 225   i.e. 5a = 215   i.e. a = 43   i.e. Largest e = 43+10= 
43+10 = 53
53   Answer: option 53
Answer: B
From a total of 5 boys and 6 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?  Answers
A) 16	B) 24	C) 60	D) 120	E) 150

Solution: Answer=150=150   No of 4 person committees that can be formed=5C2*6C2=150   Answer 150
Answer: E
Mary can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Mary has in his herd?	Choose the correct option.
A) 120  B) 155  C) 456  D) 180  E) 336

Solution: On first look B,C,E are not divisible either by 5 or 6 - ruled out.   D,A divisible by both 5,6, but 180 is divisible by 9.   120nswer : 120
Answer: A
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the ?
Pick:
A) 8:6
B) 8:7
C) 8:1
D) 8:2
E) 8:4

Solution: Let the length and breadth of the carpet in the first case be 3x units and 2x units respectively.   Let the dimensions of the carpet in the second case be 7y, 3y units respectively.   From the data,.   2(3x + 2x) = 2(7y + 3y)   => 5x = 10y   => x = 2y   Required ratio of the areas of the carpet in both the cases   = 3x * 2x : 7y : 3y   = 6x2 : 21y2   = 6 * (2y)2 : 21y2   = 6 * 4y2 : 21y2   = 8:7   Answer:8:7
Answer: B
If 3 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?  Choose the correct choice:
A) 40:15:15 B) 40:15:18 C) 40:15:12 D) 40:15:14 E) 40:15:11

Solution: 3A = 8B = 10 40:15:12   A:B:40:15:12 = 1/3:1/8:1/10   = 40:15:12   Answer: 40:15:12
Answer: C
3889 + 12.543 - ? = 3854.002	Pick: A) A)47.095 B) B)47.752 C) C)47.932 D) D)47.541 E) of the above

Solution: Let 3889 + 12.543 - x = 3854.002.   Then x = (3889 + 12.543) - 3854.002   = 3901.543 - 3854.002   = 47.541.   Answer = 47.541
Answer: D
Yesterday's closing prices of 2,200 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?	Choose the correct choice from the following options
A) 484  B) 726  C) 1,200  D) 1,320  E) 1,694

Solution: Lets consider the below -   The number of stocks that closed at a higher price = H   The number of stocks that closed at a lower price = L   We understand from first statement -> H+L = 2200 ----(1)   We understand from second statement -> H = (120/100)L => H = 1.2L ----(2)   Solve eq (1)(2) to get H = 1200.   1,200 is my answer.
Answer: C
In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 60 people were made to stand in a column, how many columns could be formed?	Choices.
A) 6  B) 8  C) 10  D) 12  E) 14

Solution: 16*30 = 60*n   n = 8   The answer is 8.
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Pick
A) 176 m	B) 167 m	C) 178 m	D) 198 m	E) 150 m

Solution: Speed = 60 * 5/18   = 50/3 m/sec   Length of the train = speed * time   = 50/3 * 9= 
50/3 * 9 = 150
150 m   Answer:150 m
Answer: E
Each Machine of type A has 3 steel parts and 2 chrome parts. Each machine of type B has 2 steel parts and 4 chrome parts. If a certain group of type A and type B machines has a total of 50 steel parts and 66 chrome parts, how many machines are in the group Select
A) 11
B) 21
C) 31
D) 61
E) 51

Solution: Look at the below representation of the problem:   Steel Chrome total   A 3 2 50 >>no. of type A machines=50/5= 
50/5 = 10
10   B 2 4 66 >>no. of type B machines=66/6= 
66/6 = 11
11   So the answer is 21 i.e B.   Hope its clear .
Answer: B
A committee of 2 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee? Pick.
A) 1/28  B) 3/28  C) 1/14  D) 4/28  E) 1/14

Solution: 3/8*4/7*1/6*2! = 1/14. We are multiplying by 2! because we can choose secretary,economist, and accountant is several way: .   Answer: 1/14.
Answer: E
There are, in a certain league, 10 teams, and each team face another team for a total of 10 times. How many games are played in the season? Select:
A) 1000
B) 450
C) 720
D) 180
E) 400

Solution: By using the formula, t[n(n - 1) / 2], where t = no. of games between two teams and n = total no. of teams, we get: 450   Option 1000.
Answer: A
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 60% profit?	Options:
A) 220
B) 230
C) 1024
D) 780
E) 400

Solution: C.P. = Rs. x.   Then, 832 - x = x - 448   2x = 1280 => x = 640   Required S.P. = 160% of Rs. 640 = 160/100 * 640 = Rs. 1024.   1024
Answer: C
The fourth proportional to 12, 14 and 18 is?
Choose the correct answer.
A) twenty one
B) 66
C) 77
D) 88
E) 12

Solution: (14* 18) /12= 
(14* 18) /12 = 21
21   twenty onenswer: twenty one
Answer: A
Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 10 ounces of chocolate. How much chocolate is left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?	Choices.
A) 2
B) 4
C) 6
D) 3
E) 1

Solution: First, you must find the total weight of the mixture given that 80% of it will be dough.   80%*Total = 36 => (8/10)Total=36=> Total=360/8 => Total=45 oz,   From there, you must find 10% of the total 40 oz of the mixture.   20%*Total => (2/10)(45)= 9 oz choclate used,   Not forgetting that the question asks how much chocolate is left over we must subtract the chocolate used from the initial chocolate. 10-9 = 1 oz chocolate left over.   Answer : 1
Answer: E
Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is? Pick one:
A) s.360	B) s.400	C) s.375	D) s.500	E) s.900

Solution: A+B+s.375 = 1500   A = 1/3(B+s.375); B = 2/3(A+s.375)   A/(B+s.375) = 1/3   A = 1/4 * 1500= 
1/4 * 1500 = 375
> 375   ANSWER:s.375
Answer: C
Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?	Select the correct option:
A) 22 hrs	B) 16 hrs	C) 77 hrs	D) 99 hrs	E) 65 hrs

Solution: 1/20 + 1/30 = 1/12   1 + 1/3 = 4/3   1 --- 12   4/3 --- ?     4/3 * 12= 
  4/3 * 12 = 16
16 hrs   Answer: 16 hrs
Answer: B
In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 25 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?  Choose the correct choice from the following options.
A) 0.06N+3200	B) 0.1N+7200	C) 0.4N+7200	D) 0.15N+8000	E) 0.06N+8000

Solution: 40% of N are independent voters, hence 60% of N are not independent voters. From this group she received 25% votes so, 0.25*0.6*N plus 8,000 votes from independents: total=0.25*0.6*N+8,000=0.15*N+8,000.   Answer: 0.15N+8000.
Answer: D
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places  Choose the correct choice from the following
A) 34  B) 35  C) 56  D) 67  E) 23.57

Solution: Let the side of the square be a cm.   Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm   i.e. 4a = 60   A = 15   Diameter of the semicircle = 15 cm   Circimference of the semicircle   = 1/2(∏)(15)   = 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places   Answer: Option 23.57
Answer: E
Two trains of length 250 m and 120 m are 50 m apart. They start moving towards each other on parallel tracks, at speeds 64 kmph and 42 kmph. After how much time will the trains meet?  Choose the correct option.
A) 15/10
B) 17/10
C) 16/10
D) 18/10
E) 16/10

Solution: They are moving in opposite directions, relative speed is equal to the sum of their speeds.   Relative speed = (64 + 42)*5/18 = 7*5 = 29.4 mps.   The time required = d/s = 50/29.4 = 17/10 sec.   Answer:17/10
Answer: B