MU-NLPC/Calc-aqua_rat huggingface dataset:
Special codes are designated by either a 5-letter or a 6-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different codes that can be designated with this system? Choose the correct choice from the following options: A) 2 (26)^6 B) 26(26)^5 C) 27(26)^5 D) 26(26)^6 E) 27(26)^6

Solution: 26^5+26^6 = 26^5(1+26)=27*26^5   The answer is 27(26)^5.
Answer: C
Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes 10 hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car? Choose the correct answer:
A) 7/4
B) 4/3
C) 15/4
D) 56/15
E) 17/5

Solution: Rate(1)=1/6   Rate(2)=1/10   Combined = 8/30   Work done in 2 days=8/15   Work left = 7/15   Rate * Time = Work left   1/8 * Time = 7/15   Time=56/15   56/15
Answer: D
15, 30, 22, 44, 36, 72, ?	Choose the correct option:
A) 43
B) 25
C) 58
D) 47
E) 64

Solution: 64   64   This is an alternating multiplication and subtracting series with a pattern x2, -8, x2, -8.
Answer: E
Mary has 2 puppies,9 birds, 4 fishes.How many pets are there in all?  Choose the correct option.
A) 12
B) 08
C) 19
D) 15
E) 20

Solution: 2+9+4= 
2+9+4 = 15
15. Answer is 15
Answer: D
A man can row a boat at 25 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?  Choose the correct option.
A) 60/31 hours
B) 80/13 hours
C) 30/13 hours
D) 30/19 hours
E) 32/13 hours

Solution: Speed downstream = 25 + 6= 
25 + 6 = 31
31 kmph.   Time required to cover 60 km downstream= d/s = 60/31   = 60/31 hours.   60/31 hoursnswer:60/31 hours
Answer: A
Jhon works for 60 days. for the day he is present he is paid 7.00/- and for the day he is
absent he is paid 3.00/- per day. if he is paid 170/-.how many days he is present.	Choose the correct choice from the following options.
A) 35 B) 36 C) 37 D) 38 E) 39

Solution: let no. days be = x and no. days he is absent = 60-x , so 7x - 3(60-x) = 170   x = 35   35NSWER:35
Answer: A
Mary has x dollars more than Kathy has, and together they have a total of y dollars. Which of the following represents the number of dollars that Kathy has? Choose the correct answer
A) (y – x)/6 B) (y – x)/5 C) 5(y – x)/2 D) 3(y – x)/2 E) (y – x)/2

Solution: To solve, we will set up two equations. Let's start by defining two variables.   A = number of dollars Kathy has   B= number of dollars Mary has   We are given that Mary has x dollars more than Kathy. We set up an equation:   B= x + A   We are next given that together they have a total of y dollars. We can set up our second equation:   A + B = y   Since we know that B = x + A, we can substitute x + A for B into the second equation A+ B = y.   Notice that, after the substitution, we will only have variables of A, x, and y. Thus, we have:   A + x + A = y   2A + x = y   2A = y – x   A = (y – x)/2   Answer : (y – x)/2
Answer: E
In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995?
Choose the correct choice from the following choices:
A) 33 1⁄3%
B) 40%
C) 50%
D) 66 2⁄3%
E) 100%

Solution: In 1995 , water usage for Johnson's = w   and cost per unit of water = c   cw = 800   => w=800/c -- 1   In 1996 , cost per unit of water = 1.5 c   Water usage for Johnson's so as to pay same amount as in 1995= w'   1.5c * w' = 800   => w' = 800/1.5c   => w' = (2/3c)*800   From 1 and 2 , we get   w' = 2/3 w   (w-w')/w = 1/3   33 1⁄3%nswer 33 1⁄3%
Answer: A
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.2 the sixth number is?
Choose one:
A) 9.5 B) 10 C) 10.3 D) 11.5 E) 12

Solution: Explanation:   1 to 11 = 11 * 10.9= 
11 * 10.9 = 119.9
119.9   1 to 6= 6 * 10.5= 
6 * 10.5 = 63
63   6 to 11= 6 * 11.2= 
6 * 11.2 = 67.2
67.2   63 + 67.2= 
63 + 67.2 = 130.2
130.2 – 119.9= 10.3   6th number = 10.3   Option 10.3
Answer: C
Two trains of equal lengths take 12 sec and 20 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?	Pick:	A) 16 sec	B) 12 sec	C) 17 sec	D) 15 sec	E) 23 sec

Solution: Speed of the first train = 120/12= 
120/12 = 10
10 m/sec.   Speed of the second train= 120/20= 
120/20 = 6
6 m/sec.   Relative speed= 10 + 6= 
10 + 6 = 16
16 m/sec.   Required time= (120 + 120)/16= 
(120 + 120)/16 = 15
15 sec.   Answer: 15 sec
Answer: D
If Rs.1000 be invested at interest rate of 5% & the interest be added to the principal every 10 yrs, then the no. of yrs in which it will amount to Rs.2000 is:	Choose the correct choice from the following options.
A) 15
B) 17 1/3
C) 16 2/3
D) 19 2/5
E) 21 1/5

Solution: Total time= (10+6 2/3) = 16 2/3 years   16 2/3
Answer: C
A man can row upstream at 25 kmph and downstream at 65 kmph, and then find the speed of the man in still water?  Answers:
A) 45  B) 86  C) 30  D) 78  E) 38

Solution: US = 25   DS = 65   M = (65 + 25)/2= 
(65 + 25)/2 = 45
45   45nswer: 45
Answer: A
The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4? Choose the correct choice from the following answers:
A) 29  B) 23  C) 73  D) 76  E) 22

Solution: Average after 11 innings = 36   Required number of runs   = (36 * 11) - (32 * 10) = 396 - 320= 
396 - 320 = 76
76.   Answer:76
Answer: D
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by: Select:
A) 5/7  B) 3/5  C) 4/7  D) 1/7  E) 2/7

Solution: Original share of 1 person = 1/8   New share of 1 person = 1/7   Increase = (1/7 - 1/8	= 1/56)   Therefore, Required fraction = (1/56)/(1/8)	= (1/56)x (8/1)	= 1/7   Answer is 1/7.
Answer: D
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?	Choose the correct choice.
A) 112  B) 500  C) 992  D) 882  E) 712

Solution: We can select one boy from 20 boys in 20 ways.   We select one girl from 25 girls in 25 ways   We select a boy and girl in 20 * 25 ways i.e., = 500 ways.   Answer:500
Answer: B
65 boys can complete a work in 30 days.how many men need to complete twice the work in 20 days	Select:  A) 160  B) 170  C) 180  D) 195  E) 200

Solution: one man can complete the work in 30*65= 
30*65 = 1_950
1950 days= one time work   to Complete the work twice it will be completed in   let M be the no. of worker assign for this therefore the eqn becomes   M*20=2*1950   M=195 workers   ANSWER:195
Answer: D
A certain tire company can produce tires at a cost of $22,500 per batch plus $8 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000
tires is produced and sold, what is the company’s profit per tire?  Choose the correct option:
A) $9.00  B) $9.50  C) $10.50  D) $13.50  E) $20.00

Solution: $10.50P(15000 tires) = $22500 +($8×15000) =$142500   SP (15000 tires) = $20×15000 = $300000   Profit = SP-$10.50P   = $300000-$142500= $157500   PROFIT/TIRE 300000- 142500= 
300000- 142500 = 157_500
$157500   PROFIT/TIRE= $157500/15000= 
157500/15000 = 21/2 = around 10.5
$10.50   Answer $10.50
Answer: C
Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has traveled 100 km more than the second. The distance between P and Q is?
Choose the correct answer:  A) 900 km  B) 300 km  C) 700 km  D) 800 km  E) 100 km

Solution: A   900 km   At the time of meeting, let the distance traveled by the second train be x km. Then, distance covered by the first train is (x + 100) km.   x/40 = (x + 100)/50   50x = 40x + 4000 => x = 400   So, distance between P and Q = (x + x + 100)km = 900 km.
Answer: A
A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:  Choose the correct option:
A) 49 kmph B) 50 kmph C) 51 kmph D) 52 kmph E) 54 kmph

Solution: Explanation:   Speed of the train relative to man   = (125/10) m/sec = (25/2) m/sec.   [(25/2) x (18/5)] km/hr = 45 km/hr.   Let the speed of the train be 'x' km/hr.   Then, relative speed = (x - 4) km/hr.   x - 4 = 45 => x = 49 km/hr.   49 kmphNSWER IS 49 kmph
Answer: A
Marts income is 40 percent more than Tims income and Tims income is 40 percent less than Juans income. What percentage of Juans income is Marts income
Choose the correct choice from the following answers:
A) 124%
B) b) 120 %
C) c) 96 %
D) d) 80 %
E) e) 84 %

Solution: M = (140/100)T   T = (60/100)J   => M = (84/100)J   Answer e) 84 %.
Answer: E
The editor of an anthology of short stories will select authors from a pool of 12 authors, of which 5 are female. If the anthology is to include the work of 7 authors of which at least 2 are female, in how many ways can the editor select the authors?	Choose the correct choice from the following:
A) 734	B) 745	C) 756	D) 767	E) 778

Solution: 127567 = 792   The number of ways to select 7 males is 77567 = 1   The number of ways to select 6 males and 1 female is 77566*57561 = 35   792 - 1 - 35= 
792 - 1 - 35 = 756
756   The answer is 756.
Answer: C
Hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench. If the total weight of two hammers and three wrenches is one-third that of 6 hammers and 5 wrenches, then the total weight of one wrench is how many times that of one hammer?	Select:	A) 1/4	B) 2/3	C) 1	D) 3/2	E) 2

Solution: x be the weight of a hammer and y be the weight of a wrench.   (2x+3y)=1/3*(7x+5y)   3(2x+3y)=(7x+5y)   6x+9y=7x+5y   4y=x   y=x/4   1/4ns - 1/4
Answer: A
Solve x^2 – 3x – 4 = 0.  Pick
A) (9,2)
B) (7,3)
C) (1,3)
D) (-1,4)
E) (2,5)

Solution: This one factors easily:   x^2 – 3x – 4 = 0   (x + 1)(x – 4) = 0   x + 1 = 0 or x – 4 = 0   x = –1 or x = 4   The solution is x = –1, 4   Ans: (-1,4)
Answer: D
Firm A's revenues are described by the equation Ra = 17.12x and its costs by Ca = 12.87x + 2700.
Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500.
(x denotes the quantity of sales).
If A's volume of sales increases from 1000 to 2000 over the same period that B's volume increases from 2000 to 3000, the percent increase in profits for the firm with the biggest dollar increase in profits is	Options:	A) 20%	B) 30%	C) 60%	D) 50%	E) 33%

Solution: Ok, I do not know whether it is exactly what you want to hear but I did it that way: first look at difference between revenue and variable cost => take the bigger one (b) which gives you: 4.5x-1500 just plug in 2000 and 3000. you get 7500 and 12000 (difference 4500). 4500> 0.5*7500 so 60%   60%
Answer: C
A group of four women and three men have tickets for seven adjacent seats in one row of a theatre. If the three men will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?
Choose the correct choice from the following choices:
A) 7! – 2!3!2! B) 7! – 4!3! C) 7! – 5!3! D) 7 × 2!3!2! E) 2!3!2!

Solution: 7 people can be seated in 7! ways   take 3 men as one unit ----> tot 5 people can be seated in 5 ways *(no. of ways in which 4 women can be seated amng themselves ) * ( no. of ways in which 3 men cen be seated amng themselves)=5*4!*3!=5!*3!   tot no. of ways in which 3 men are not seated in adjacent seats=tot arrangements - 5!*3!=7!-5!*3!   ANSWER:7! – 5!3!
Answer: C
Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 30 percent ryegrass, what percent of the weight of this mixture is X ?
Select the correct option: A) 10% B) 33.33 % C) 40% D) 50% E) 66.66 %

Solution: Qnty.(cheaper)/Qty.(dearer)=(dearer-mean)/(mean-cheaper)   Thus Qy/Qx=(40-30)/(30-25)= 
(40-30)/(30-25) = 2
2   Therefore Qy=2 Qx and Qy+Qx = 100% (total). Hence Qx = 33.33%   ANSWER:33.33 %
Answer: B
How many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph?
Select the correct option:
A) 26
B) 72
C) 25
D) 82
E) 27

Solution: 27xplanation:   D = 100 + 170= 
100 + 170 = 270
270   S= 36 * 5/18= 
36 * 5/18 = 10
10 mps   T= 270/10= 
270/10 = 27
27 sec   Answer: Option 27
Answer: E
if m>0 and a is m percent of b, then, in terms of m, b is what percent of a?
Choose the correct choice from the following
A) a)100m	B) b)1/10^-4m	C) c)1/m	D) d)10/m	E) e)10,000/m

Solution: Given (m*b)/100=a   to find (b/a)*100   Rearranging first equation   b/a*100 = 100*100/m   =10000/m   Answer b)1/10^-4m
Answer: B
In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is?  Options.
A) 86 B) 90 C) 92 D) 94 E) 96

Solution: Divisor = (6 * 3) + 2= 
(6 * 3) + 2 = 20
20   5 * Quotient= 20   Quotient = 4.   Dividend = (Divisor * Quotient) + Remainder   Dividend = (20 * 4) + 6= 
(20 * 4) + 6 = 86
86.   86)
Answer: A
There are two sections A and B of a class consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class? Choose the correct choice from the following options
A) 7.25kg
B) 17.25kg
C) 37.25kg
D) 27.25kg
E) 34.25kg

Solution: total weight of(36+44) students=(36*40+44*35)= 
(36*40+44*35) = 2_980
2980kg.   Therefore weight of the total class=(2980/80)= 
(2980/80) = 149/4 = around 37.25
37.25kg.   Option 37.25kg
Answer: C
Find a sum for first 5 prime no's from number series? Select the correct option:
A) 24
B) 28
C) 30
D) 34
E) 36

Solution: Required sum = (2 + 3 + 5 + 7 + 11)= 
(2 + 3 + 5 + 7 + 11) = 28
28   Note: 1 is not a prime number   Option 28
Answer: B
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder?  Choose one: A) 1234 B) 1540 C) 1650 D) 1632 E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 360 metres, what is its area? Choose the correct choice from the following answers.
A) 1320 sq.metres B) 4260 sq.metres C) 6870 sq.metres D) 7875 sq.metres E) None of these

Solution: Let the length and breadth be 7x and 5x respectively.   Then, P = 2(7x + 5x) = 360 â‡’ x = 15   Area = 7 Ã— 15 Ã— 5 Ã— 15 = 7875 sq.m.   Answer 7875 sq.metres
Answer: D
The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 16, and k < m < r < s < t. If t is 30, what is the greatest possible value of the median of the 5 integers?
Choose one:
A) 16 B) 18 C) 19 D) 20 E) 28

Solution: We need to find the median which is the third value when the numbers are in increasing order. Since k<m<r<s<t, the median would be r.   The average of the positive integers is 16 which means that in effect, all numbers are equal to 16. If the largest number is 30, it is 14 more than 16. We need r to be maximum so k and m should be as small as possible to get the average of 16. Since all the numbers are positive integers, k and m cannot be less than 1 and 2 respectively. 1 is 15 less than 16 and 2 is 14 less than 16 which means k and m combined are 29 less than the average. 30 is already 14 more than 16 and hence we only have 29 - 14= 
29 - 14 = 15
15 extra to distribute between r and s. Since s must be greater than r, r can be  16+12= 
 16+12 = 28
28 and s can be   16+13= 
  16+13 = 29
29.   So r is 28.   Answer (28)
Answer: E
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 30 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?	Choose the correct choice:	A) 18/79	B) 1/6	C) 1/25	D) 1/150	E) 1/900

Solution: So there are 900 cars that they have to search.. Each takes 30mins, total of 27000 mins.. Have to find in 180 mins.. Prob180/27000 = 1/150 (ANSWER 1/150)
Answer: D
Given that there are 11 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 5 players can be selected from each team? Choices:
A) 245631	B) 457845	C) 145256	D) 356586	E) 213444

Solution: Now from each group we have to select 5 persons only: 11C5 * 11C5= 462 * 462= 
462 * 462 = 213_444
213444   Total ways=313444 ways.   Answer 213444
Answer: E
A man sitting in a train which is traveling at 45 kmph observes that a goods train, traveling in opposite direction, takes 8 seconds to pass him. If the goods train is 340 m long, find its speed  Select.
A) 102 kmph
B) 106 kmph
C) 108 kmph
D) 62 kmph
E) 72 kmph

Solution: Explanation:   Relative speed = 340/8 m / sec = ((340/8)×(18/5)) kmph = 153 kmph.   Speed of goods train = (153 - 45)= 
(153 - 45) = 108
108 kmph   Answer: Option 108 kmph
Answer: C
A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?  Choose the correct choice from the following options:	A) 240	B) 245	C) 250	D) 255	E) 260

Solution: Relative speed = 120 + 80= 
120 + 80 = 200
200 km/hr.= 200 * 5/18 = 500/9 m/sec.   Let the length of the other train be x m.   Then, (x + 260)/9 = 500/9 => x = 240.   240nswer: Option 240
Answer: A
In a certain growth fund, 3/5 of the investment capital is invested in stocks, and of that portion, 1/3 is invested in preferred stocks. If the mutual fund has $846,000 invested in preferred stocks, what is the total amount of money invested in the fund? Pick:  A) $1,974,000  B) $2,538,000  C) $3,264,000  D) $3,826,000  E) $4,230,000

Solution: Total invested in preferred stocks is =(3)/(5)∗(1)/(3) = (1)/(5) * Investment Capital   = 846,000   Total amount of money invested in the fund= 846,000 * 5 = 4,230,000   Answer is $4,230,000
Answer: E
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?	Pick:
A) 11  B) 17  C) 18  D) 101  E) 1322

Solution: Let the breadth of the plot be b m.   Length of the plot = 3 b m   (3b)(b) = 867   3b2 = 867   b2 = 289 = 172 (b > 0)   b = 17 m.   Answer: 17
Answer: B
The area of square ABCD above is 32. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?  Answers.
A) 18−9/4∗π B) 18−9/2∗π C) 9+9/4∗π D) 32-8∗π E) 9/2−9/4∗π

Solution: =Square - Quarter circle   =32- pi*32/4   =32- pi*8   ANSWER:32-8∗π
Answer: D
The average of 10 numbers was calculated as 19. It is discovered later on that while calculating the average, one number, namely 76, was incorrectly read as 26. What is the correct average?	Choices.
A) 21 B) 22 C) 23 D) 24 E) 25

Solution: 10*19 - 26 + 76= 
10*19 - 26 + 76 = 240
240   240 / 10= 
240 / 10 = 24
24   The answer is 24.
Answer: D
The positive integers p and r have exactly three prime factors in common: two 2's and one 3. If p has exactly one additional prime factor x and r has exactly one additional prime factor y such that x ≠ y , which of the following represents the least common multiple of p and r?	Choose the correct choice from the following:
A) 12xy  B) 6xy  C) xy  D) 12  E) 6

Solution: P and R have exactly 3 factors i.e. 2 , 2 and 3 which comes out to be 12 ;   so p and r will have 12 for sure as a factor ; ok .   now considering that both p -> x as a prime factor and r-> y as prime factor and x is not equal to y ;   LCM will be 12 * x * y   eg: -   let p and r be 12 and 12 each ; then 7 added to p and 11 added to r we get Least LCM as   12 *7* 11 ; 12xyNSWER:12xy
Answer: A
In power plant, If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it ?  Choose the correct choice from the following answers.
A) 40 hours  B) 50 hours  C) 60 hours  D) 70 hours  E) None of these

Solution: Explanation :   Let the required number of hours be x. Then,   Less men, More hours (Indirect Proportion)   15 : 36 : : 25 : x => (15 * x) = (36 * 25)   x=(36 x 25)/15 = 60   Hence, 15 men can do it in 60 hours.   Answer : 60 hours
Answer: C
In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 138 hats in this group, how many of these hats are not blue?
Choose the correct option:
A) 28  B) 42  C) 48  D) 96  E) 76

Solution: Since the hats Blue, Green and Purple are in ratio of 7:4:12...The total no. of balls will be   7x+4x+12x=138 or 23x=138...here 7x,4x and 12x represent hats of each type   23x=138 so x=6...Blue hats =7*6=42...Not blue will be   138-42= 
  138-42 = 96
96.   Ans 96
Answer: D
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The sum of the first 52 positive even integers is 2550. What is the sum of the even integers from 98 to 200 inclusive?  Choose the correct choice:  A) 5,100  B) 7,748  C) 10,100  D) 15,500  E) 20,100

Solution: even numbers from 98 to 200=102/2+1= 
102/2+1 = 52
52   Sum= (200+98)x52/2=7748   So 7,748 is the ans.
Answer: B
A juice drink contains 6% of the recommended daily amount of vitamin A. If the juice drink contains 3 units of vitamin A, how many units of vitamin A are recommended daily?
Choose the correct answer:  A) 70  B) 50  C) 60  D) 56  E) 66

Solution: 6% of the recommended amount of vitamin A is 3 units.   If the total number of units recommended is X then   6/100 = 3/X   100/6 * 3 = X   300/6= 
300/6 = 50
X   50= X   50)
Answer: B
A parallelogram has a height that is the square root of the size of it's base. The total area of this parallelogram is Sq ft. What is the height of the parallelogram?
Choose the correct choice from the following answers
A) 7	B) 10	C) 15	D) 9	E) 3

Solution: x^2 * x = 343 => x   = 7   7nswer: 7
Answer: A
Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?	Choose the most appropriate option.
A) Rs. 4000	B) Rs. 4500	C) Rs. 5500	D) Rs. 6000	E) Rs. 6500

Solution: Let investment in 12% stock be Rs. x.   Then, investment in 15% stock = Rs. (12000 - x).   12/120 * x + 15/125 * (12000- x) = 1360   x/10 + 3/25(12000-x) = 1360   5x + 72000 - 6x = 1360 x 50   x = 4000.   Rs. 4000nswer = Rs. 4000
Answer: A
Kyle has a custom bicycle shop, from each bicycle he sells for $150, he invest $65.50 in tools, paint and accessories. He also pays a $25 commission to his friend Lucas for each bike he helps him sell. If Lucas helped Kyle sell 6 bikes in one week, how much profit did Kyle made from those sells?  Choose the correct choice from the following answers.
A) $200	B) $357	C) $157	D) $355.50	E) $230

Solution: Answer is (B). Kyle sells each bicycle for $150, from that subtract $65.50 in expenses and the $25 commission for each bicycle Lucas helped him sell. That's $59.50 profit from each bicycle sold multiplied by the number of bicycles sold that week (6), (59.5 x 6) would net him a total of $357 net profit.
Answer: B
Total number of 4 digit number do not having the digit 3 or 6.	Select the correct option:  A) 22  B) 28  C) 27  D) 19  E) 11

Solution: Answer:19
Answer: D