MU-NLPC/Calc-aqua_rat huggingface dataset:
Find out the C.I on Rs.8000 at 4% p.a. compound half-yearly for 1 1/2 years
Answers.
A) 489.66 B) 406.07 C) 406.04 D) 306.03 E) 306.01

Solution: 489.66 = 8000(51/50)3   = 8489.66   8000   -----------   489.66   489.66nswer:489.66
Answer: A
In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes, Team B will also win one of the prizes. How many outcomes X of the competition are possible?	Choices:
A) 18
B) 20
C) 54
D) 84
E) 120

Solution: the ways the three teams can be selected is..   i) A is selected, B is also selected, third can be any of the remaining 4.. so total ways 4.. they can be arranged in 4*3!=24 ways..   ii) A is not selected. threee teams can be selected from remaining 5 so total arrangements =5C3*3!=60   total X=84 outcomes   84
Answer: D
ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,35) and (-5,15). Which can be the coordinate of fourth vertex?  Choose the correct choice from the following answers:
A) (-5,-5)	B) (5,15)	C) (-5,-35)	D) (-5,10)	E) (15,35)

Solution: A(-5, 15)   B(5, 15)   C(5, 35)   X(-5, 35): Parallelogram=Square=AXCB, where AX||CB, AX=CB, XC||AB, XC=AB   Y(-5, 5): Parallelogram=AYBC, where AY||BC, AY=BC, AC||YB, AC=YB   Z(15, 35): Parallelogram=ACZB, where AC||ZB, AC=ZB, CZ||AB, CZ=AB   Ans:(15,35)
Answer: E
X^Y + Y^X =2408
Find the values of X ?
Choose the correct choice from the following
A) 2407
B) 2408
C) 2409
D) 2405
E) 32

Solution: 2407^1+1^2407=2408   2407NSWER:2407
Answer: A
30 pens and 75 pencils were purchased for 750. If the average price of a pencil was 2.00, find the average price of a pen.	Choose the correct option:  A) 20  B) 11  C) 12  D) 13  E) 14

Solution: Since average price of a pencil = 2   ∴ Price of 75 pencils = 150   ∴ Price of 30 pens = (750 – 150) = 600   ∴ 20verage price of a pen = 600⁄60 = 20   20nswer 20
Answer: A
The length and breadth of a square are increased by 40% and 30% respectively. The area of the rectangle so formed exceeds the area of the square by ? Choose the correct choice:
A) 82%  B) 78%  C) 80%  D) 90%  E) none of these

Solution: Since Side1 x Side2 = Area   Therefore, net% change in area   = ( x + y + xy/100) %   = [40 + 30 + (40 x 30)/100]% or 82%.   Therefore, area is increased by 82%.   82%NSWER:82%
Answer: A
How many odd integers X between 200 and 600 are there such that their tens digit is even?
Pick one
A) 20  B) 25  C) 100  D) 150  E) 200

Solution: The hundreds digit can take 4 values: 2, 3, 4 and 5;   The tens digit can take 5 values: 0, 2, 4, 6 and 8;   The units digit can take 5 values: 1, 3, 5, 7 and 9;   Total X:  4*5*5= 
 4*5*5 = 100
100.   Answer: 100.
Answer: C
Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 7 books and the last shelf contained 11 books, how many shelves does the bookcase have? Choose the correct choice from the following answers.
A) 7	B) 6	C) 4	D) 5	E) 3

Solution: Let x be the number of shelves.   No of books in the beginning =12*x   After taking out 21 books No of remaining books = 12x -21   when the remaining books are rearranged, each shelf except the last shelf has 8 books and the last shelf has 11 books. So No of remaining books is also equal to 7*(x-1)+11   12x-21=7(x-1)+11   5x=25   x=5. Answer 5
Answer: D
The population of a town increased from 1,45,000 to 2,30,500 in a decade. The average percent increase of population per year is:  Choose one.
A) 4.37%  B) 5.8%  C) 6.8%  D) 8.75%  E) None

Solution: Explanation: Increase in 10 years = (230500 - 145000)= 
(230500 - 145000) = 85_500
85500.   Increase%= (85500/145000 x 100)% = 58%.   Required average = (58/10)= 
(58/10) = 29/5 = around 5.8
5.8%.   Answer: Option 5.8%
Answer: B
An article is bought for Rs.600 and sold for Rs.900, find the gain percent?	Pick one:  A) 33 1/7%  B) 33 1/6%  C) 50%  D) 38 1/3%  E) 33 2/3%

Solution: 600 ---- 300   100 ---- ? => 50%   Answer:50%
Answer: C
If x ≠ 0 and x - (2+ x^2)/x = y/x, then y =
Pick one:
A) -5 B) -2 C) -4 D) -3 E) -1

Solution: x - (2+ x^2)/x = y/x   x^2 -2 - x^2/x = y/x   y= -2   Answer : -2
Answer: B
tell the smaller no. if its subtraction is 5 and ration is 4:3.  Select.
A) 15
B) 10
C) 8
D) 5
E) 4

Solution: 4x-3x=5   x=5   smaller no.=15   answer 15
Answer: A
Vinay got thrice as many marks in Maths as in English. The proportion of his marks in Maths and History is 4:3. If his total marks in Maths, English and History are 250, what are his marks in English ?	Pick.
A) 120 B) 90 C) 40 D) 80 E) 70

Solution: Explanation:   M=3E and M/H=4/3   H=3/4M=3/4×3E=9/4E   Now, M+E+H=250⇒ 3E+E+9/4E=250   25E = 1000 or E = 40   40orrect Option: 40
Answer: C
When positive integer N is divided by positive integer J, the remainder is 16. If N/J = 134.08, what is value of J?
Pick
A) 22
B) 56
C) 78
D) 112
E) 200

Solution: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder   So, Dividend/Divisor = Quotient + Remainder/Divisor   Given that N/J = 134.08   Here 134 is the quotient.   Given that Remainder = 16   So, 134.08 = 134 + 16/J   So, J = 200 ANS 200
Answer: E
The difference between the ages of A and B is 10 years. Ten years ago, A was twice as old as B. Find the age of A, 10 years hence.  Choose the most appropriate option.
A) 20 years	B) 30 years	C) 40 years	D) 50 years	E) 60 years

Solution: given that A-B=10 ->(1)   A-10=2(B-10)   A=2B-10 ->(2)   by solving 1&2   we get A=30,B=20   After 10 years age of A is 40 years   ANSWER:40 years
Answer: C
What is the sum of natural numbers between 40 and 100  Choose the correct choice from the following choices:
A) 4800  B) 4270  C) 5000  D) 5500  E) 5550

Solution: a = first number   l = last number   Sn = n/2[a + l]   between 40 and 100 numbers = 61 => 100 - 40= 
100 - 40 = 60
60 + 1= 
60 + 1 = 61
61   Sn= 61/2 Ã— 140 = 61 Ã— 70 = 4270   Answer : 4270
Answer: B
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?
Choose the most appropriate option.
A) 8.5 m	B) 17 m	C) 34 m	D) 51 m	E) None of these

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 m
Answer: B
If e is a positive integer, then 3^e + 3^(e +1) = Choose the correct choice from the following
A) 4^a  B) 3^a − 1  C) 3^(2a) + 1  D) 3^a*(a − 1)  E) 4(3^e)

Solution: 3^e + 3^(e +1)   = 3^e + (3^e * 3^1)   = 3^e (1 + 3)   = 3^e(4)   Ans. 4(3^e)) 4(3^e)
Answer: E
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 400 m? Choose the correct choice from the following options: A) 122.9 m B) 127.5 m. C) 122.2 m D) 85 m E) 12289 m

Solution: When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.   When B runs 900 m, distance that C runs = (900 * 700)/800   = 6300/8= 
6300/8 = 1_575/2 = around 787.5
787.5 m.   In a race of 1000 m, A beats C by   (1000 - 787.5)= 
  (1000 - 787.5) = 212.5
212.5 m to C.   In a race of 400 m, the number of meters by which A beats C= (400 * 212.5)/1000= 
(400 * 212.5)/1000 = 85
85m.   Answer:85 m
Answer: D
Two representatives must be selected from each of two groups of students. One group consists of three men and one woman, and the other group consists of two women and one man. What is the probability that 2 men and 2 women will be selected ? Choose one.
A) 1/6	B) 1/4	C) 2/7	D) 1/3	E) 1/2

Solution: Group 1: 3 Men and 1 Woman   Group 2: 1 Men and 2 Woman   Need: 2 Men and 2 women   Case 1: 2 Men from Group 1 and 2 women from group 2 - 3C2*2C2 = 3 ways   Case 2: 1 Men and 1 Woman from Group 1 and 1 Man and 1 women from group 2 - 3*1*1*2 = 6 ways   Total Favorable cases = 3+6= 
3+6 = 9
9   Total Possible ways of selecting students 2 from each group= 4C2*3C2 = 6*3= 
6*3 = 18
18   Probability= 9/18 = 1/2   Answer : Option 1/2
Answer: E
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITH', if repetition of letters is not allowed?
Choose the correct choice from the following options:	A) 690	B) 336	C) 740	D) 760	E) 780

Solution: The word 'LOGARITH' has 8 different letters.   Hence, the number of 3-letter words(with or without meaning) formed by using these letters   = 8P3   =   8   ×   7   ×   6   =   336   Option 336
Answer: B
Janet has to pay back her bank loan over 10 months following the below sequence.
$50, $55, $65, $80, $85, $95, $110, $115, $125, ?
How much will she pay back on the tenth month?  Pick.
A) $155 B) $140 C) $135 D) $125 E) $130

Solution: The sequence progresses +5, +10, +15 repeated; The amount to pay back on the 10th Month is $140   Ans $140
Answer: B
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Pick one
A) 2:5
B) 2:6
C) 2:9
D) 2:1
E) 2:4

Solution: The volume of the cone = (1/3)πr2h   Only radius (r) and height (h) are varying.   Hence, (1/3)π may be ignored.   V1/V2 = r12h1/r22h2 => 1/10 = (1)2h1/(2)2h2   => h1/h2 = 2/5   i.e. h1 : h2 = 2:5   2:5nswer:2:5
Answer: A
If taxi fares were $1.00 for the first 1/5 mile and $0.20 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was	Choose one.
A) $1.56
B) $2.40
C) $3.80
D) $4.20
E) $2.80

Solution: In 3 miles , initial 1/5 mile charge is $1   rest of the distance = 3 - (1/5) = 14/5   rest of the distance charge = 14(0.2) = $2.8 (as the charge is 0.2 for every 1/5 mile)   => total charge for 3 miles = 1+2.8= 
1+2.8 = 3.8
3.8   Answer is $3.80.
Answer: C
The average of 20, 100 and 180 is twice the average of 10, 30, and which of the following ? Choose the correct option.
A) 1)110  B) 2)30  C) 3)60  D) 4)90  E) 5)180

Solution: 20 100 180 = 180+120= 
180+120 = 300
300/3= 
300/3 = 100
100   100/2= 
100/2 = 50
50   10 30 x= 40+x/3 should be smaller than 50   cross multiply 50*3-40= 
50*3-40 = 110
110   1)110
Answer: A
A person was dialing a telephone. He forgot the last three digits of the six-digit telephone number but rembered that the number formed by the last three digits in the same order was a perfect square. What is the probability he dialed a right number?	Choices:
A) 1/32
B) 1/46
C) 1/49
D) 1/36
E) 1/18

Solution: There are following perfect squares less than 1,000:   000 (0^2);   001 (1^1);   004;   009;   016;   025;   036;   049;   064;   081;   100;   121;   144;   ...   961 (31^2).   Total of 32 perfect squares.   The probability = 1/32.   1/32nswer: 1/32.
Answer: A
A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 550 ?	Choose the correct choice
A) 249
B) 498
C) 676
D) 823
E) 274

Solution: slope of 2 and a y-intercept of 2   y-coordinate is 550   y = 2x + 2   548 = 2x   x = 274   Answer:   E. 274
Answer: E
A grandmother lent $20,000 to her grandson at the beginning of the year. At the end of the year, she received y dollars more than than the amount she lent due to interest. She also received an additional amount $300, as a gift. In terms of y, what fraction of the amount that grandmother received was the gift?	Choose the correct choice from the following choices:
A) 50Y B) 300/(20300+Y) C) 300Y/20000Y D) 2/3Y E) 300Y/(Y+1)

Solution: The amount of money the grandmother received was (20,000 + 300+ y) dollars. The $300 gift as a fraction of the amount received was, therefore, 300/(20,300 + y).   Answer: 300/(20300+Y).
Answer: B
The diagonal of a rectangle is sqrt(41) cm. and its area is 20 sq. cm. The perimeter of the rectangle must be:
Select the correct option
A) 22  B) 18  C) 19  D) 27  E) 62

Solution: Explanation:   \inline {\color{Black}\sqrt{l^{2}+b^{2}}=\sqrt{41}}   Also, lb=20   \inline {\color{Black}(l+b)^2=(l^{2}+b^{2})+2lb=41+40= 
41+40 = 81
81}   (l + b)= 9.   Perimeter = 2(l + b) = 18 cm.   Answer: 18) 18 cm
Answer: B
If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = 0
II. x = 0
III. x =y
Choose the correct choice from the following
A) I only B) II only C) III only D) I and III only E) I, II, and III

Solution: Answer choice A is correct.   The question gives you x^2=xy   you can simplify that as x^2-xy=0   x(x-y)=0 the solution will be either x=0 or x=y, since x and y are different integers x cannot equal y, that leaves you x=0 to be the only answer.   Answer II only
Answer: B
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?  Choose the correct choice from the following choices
A) 600	B) 729	C) 278	D) 268	E) 308

Solution: Cost price = Rs.500   profit = 20% of 500 = Rs.100   Selling price = Cost price + Profit   = 500 + 100= 
500 + 100 = 600
600   600nswer:600
Answer: A
The L.C.M. of 2 numbers is 40. The numbers are in the ratio 4:5. Find their sum? Choose the correct choice from the following:
A) 18  B) 40  C) 48  D) 32  E) 56

Solution: Let the numbers be 4x and 5x   L.C.M. = 20x   20x = 40   x = 2   The numbers are = 8 and 10   Required sum = 8+10= 
8+10 = 18
18   18nswer is 18
Answer: A
For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.5?  Choose one: A) 12.6. B) 14.4. C) 15.8. D) 15.7. E) 16.4.

Solution: [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.5   = 6*0 + 2*7.2 + 8 - 6.5   = 0 +14.4 +1.5   15.7   Answer 15.7.
Answer: D
The mean proportional between 4 and 9 is?  Select the correct option: A) 33 B) 77 C) 35 D) 88 E) 29

Solution: 7/20 * 100= 
7/20 * 100 = 35
35   Answer:77
Answer: B
How many different committees can be formed from a group of four women and eight men if three people are on the committee and at least one member must be a man?	Choose the correct choice from the following:
A) 215
B) 220
C) 225
D) 216
E) 210

Solution: 4 Women and 8 Men. Three people needed   It is always better to subtract the total from none in case of at least one problems.   Total ways = 12C3 = 220   Total ways without any men = 4C3 = 4   Hence ways in which at least one man will be present = 220 - 4= 
220 - 4 = 216
216   Correct option: 216
Answer: D
The square root of 636 is between which set of integers?
Select the correct option:
A) 24 and 25
B) 25 and 26
C) 26 and 27
D) 27 and 28
E) 28 and 29

Solution: 25^2=625   26^2=676   Hence 636 lies between 25^2 & 26^2   ANSWER:25 and 26
Answer: B
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?	Select:
A) 560 B) 240 C) 329 D) 443 E) 544

Solution: Let x be the number of kilograms he sold in the morning.Then in the afternoon he sold 2xkilograms. So, the total is x+2x=3x This must be equal to 360.   3x=360   x=360/3= 
360/3 = 120
120   Therefore, the salesman sold 120 kg in the morning and 2⋅120=240 kg in the afternoon.
Answer: B
What is the place value of 7 in the numeral 57468?  Select the correct option.
A) 7000 B) 5000 C) 7 D) 700 E) 70

Solution: place value of 7 = 7 * 1000= 
7 * 1000 = 7_000
7000   7000nswer is 7000
Answer: A
Which of the following is closer to (7!+5!)-(7!-5!)? Options:
A) 120
B) 150
C) 200
D) 240
E) 360

Solution: (7!+5!)-(7!-5!)=5040+120-5040+120= 
5040+120-5040+120 = 240
240   Answer: 240
Answer: D
For what k value(s) is the following equation satisfied: 2k-9-k = 4k+6-3k
Choose the correct choice from the following:
A) a. -5	B) b. 0 only	C) c. 5/2 only	D) d. No value	E) e. Any value

Solution: 9k-9-8k = 4k+4-3k   k - 9 = k + 4   -9 = 4, which is false.   So, no k satisfies given equation.   Answer: d. No value.
Answer: D
x+(1/x) = 2.5 find x^2 + (1/x^2)
Select: A) 2.25 B) 3.25 C) 4.25 D) 5.25 E) 6.25

Solution: squaring on both sides (x+1/x)^2=2.5^2   x^2+1/X^2=6.25-2   x^2+1/X^2=4.25   ANSWER:4.25
Answer: C
A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?
Choose the most appropriate option.
A) 1	B) 4	C) 3	D) 2	E) 6

Solution: D   Just 2   Day One: You make your first cut at the 1/7th mark and give that to the worker.   Day Two: You cut 2/7ths and pay that to the worker and receive the original 1/7th in change.   Day three: You give the worker the 1/7th you received as change on the previous day.   Day four: You give the worker 4/7ths and he returns his 1/7th cut and his 2/7th cut as change.   Day Five: You give the worker back the 1/7th cut of gold.   Day Six: You give the worker the 2/7th cut and receive the 1/7th cut back in change.   2ay Seven: You pay the worker his final 1/7th.
Answer: D
How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 20% solution? Choices.
A) 6.7	B) 1.3	C) 9.6	D) 12.5	E) 7.9

Solution: Amount salt in 100kg solution = 10*100/100= 
10*100/100 = 10
10 kg   Let x kg of pure salt be added   then(10+x)/(100+x)=20/100   100+10x=200+2x   8x = 100   x = 12.5   Answer is 12.5
Answer: D
On a trip covering 350 km, a bicyclist travels the first 200 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?
Choose the correct choice from the following.
A) 15.5 B) 16.0 C) 17.5 D) 19.0 E) 18.5

Solution: time 1 = 200 / 20= 
200 / 20 = 10
10 hours   time 2= 150 / 15= 
150 / 15 = 10
10 hours   total time= 20 hours   average speed = 350 / 20= 
350 / 20 = 35/2 = around 17.5
17.5 km/hr   The answer is 17.5.
Answer: C
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 360 votes. Find the number of votes casted to the winning candidate?	Choose the correct choice from the following answers:
A) 288
B) 744
C) 788
D) 298
E) 930

Solution: W = 62% L = 38%   62% - 38% = 24%   24% -------- 360   62% -------- ?  62  - 38= 
 62  - 38 = 24
24%   24% -------- 360   62% -------- ?=> 930   Answer: 930
Answer: E
A researcher computed the mean, the median, and the standard deviation W for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?	Choose the correct choice from the following choices.
A) The mean only B) The median only C) The standard deviation only D) The mean and the median E) The mean and the standard deviation

Solution: If we add or subtract a constant to each term in a set the standard deviation W will not change..   If we add (or subtract) a constant to each term in a set the mean and the median will increase (decrease) by the value of that constant.   Answer: The mean and the median.
Answer: D
If 9 ministers are to be seated at a round table conference, then how many different ways can they be seated?
Choose the correct choice from the following choices.
A) 24  B) 60  C) 40320  D) 720  E) 180

Solution: Simple formula:   There are (n - 1)! ways to arrange n distinct objects in a circle.   so its  (9-1)= 
 (9-1) = 8
8!= 40320=40320
Answer: C
If the productivity of a brigade grows by 12% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?	Select the correct option.
A) 0.21 B) 0.82 C) 1.2 D) 1.232 E) 1.44

Solution: B = 10-men brigade   p = increase in the productivity = 12%   Solution: B x p = B x 1.12 = 1.12B -------> the productivity of 11 men brigade   1.12B x p = 1.12B x 1.1 = 1.232B -----> the productivity of 12 men brigade   The ratio of the productivity of a 12-men brigade to that of a 10-men brigade = 1.232B/B = 1.232   1.232
Answer: D
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.	Choose the correct choice:
A) 5 : 12
B) 5 : 14
C) 5 : 17
D) 5 : 18
E) 5 : 16

Solution: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.   a2 = 4096 = 212   a = (212)1/2 = 26 = 64   L = 2a and b = a - 24   b : l = a - 24 : 2a = 40 : 128 = 5 : 16   Answer: Option 5 : 16
Answer: E
A mixture containing 6% boric acid is to be mixed with 2 quarts of a mixture which is 15% acid in
order to obtain a solution which is 12% acid. How much of the 6% solution must be used? Choose the correct choice from the following choices
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: This is a mixture problem.   The question asks, “How much of the 6% solution”.   Let x the number of quarts of 6% solution needed.   Write the equation and solve.   0.06+0.15(2)=0.12(x+2)   0.06x+0.30=0.12x+0.24   6x+30=12x+24   6=6x   x=1   The answer: 1 qt of 6% boric acid solution must be used.   correct answer 1
Answer: A
In a basket of apples, 12% of them are rotten and 66 are in good condition. Find the total number of apples in the basket.	Pick one:
A) 33  B) 75  C) 23  D) 20  E) 287

Solution: Let the total number of apples in the basket be m   12 % of the apples are rotten, and apples in good condition are 66   Therefore, according to the question,   88% of m = 66   88/100 × m = 66   m = (66 × 100)/88   m = 3 × 25   m = 75   Therefore, total number of apples in the basket is 75.   Answer:75
Answer: B
A train speeds past a pole in 15 seconds and a platform 140 meters long in 25 seconds. What is the length of the train (in meters)? Answers:
A) 190
B) 200
C) 210
D) 220
E) 230

Solution: Let the length of the train be x meters.   The speed of the train is x / 15.   Then, x + 140 = 25*(x / 15)   10x = 2100   x = 210 meters   The answer is 210.
Answer: C
On a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 4 attempts? Choose one:
A) 3/4
B) 5/8
C) 7/8
D) 11/16
E) 15/16

Solution: P(missing all 4)=(1/2)^4=1/16   P(success on at least one attempt)=1-1/16=15/16   The answer is 15/16.
Answer: E
A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 15 heads and 43 legs. How many cats does the ship host? Select the correct option: A) 4 B) 5 C) 6 D) 7 E) 8

Solution: sa's +co +ca +cats = 15. sa's + 1 +1 +cats =15 or sa's +cats =13.   sa's(2) +2 +1 +cats*4 =43 sa's*2 +cats*4 = 40 or sa's +cats*2 =20 or 13-cats +cat*2 =20   then cats =7   7
Answer: D
How long will a boy take to run round a square field of side 40 meters, if he runs at the rate of 9km/hr?	Choose the correct choice from the following options.
A) 64sec B) 45sec C) 1min D) 32sec E) 25sec

Solution: Speed = 9 km/hr = 9*5/18 = 5/2 m/sec   Distance = 40*4= 
40*4 = 160
160m   Time taken= 160*2/5= 
160*2/5 = 64
64sec   64secnswer is 64sec
Answer: A
A triangle has a perimeter 17. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?  Select.
A) 4
B) 5
C) 6
D) 7
E) 3

Solution: The SHORTER sides have integral lengths equal to x and x + 1   Let the longest side be 'a'   So, a + x + (x +1) = 17   a + 2x = 17.......eqn (1)   We know that the sum of the lengths of the shorter sides has to be more than the length of the longer one. i.e 2x+1> a   a =7   7
Answer: D