MU-NLPC/Calc-aqua_rat huggingface dataset:
A positive number x is multiplied by 2, and this product is then divided by 5. If the positive square root of the result of these two operations equals x, what is the value of x ? Choose the correct answer:
A) 9/4
B) 3/2
C) 4/3
D) 2/3
E) 1/2

Solution: We need to produce an equation from the information given in the problem stem. We are first given that x is multiplied by 2 and then the product is divided by 3. This gives us:   2x/3   Next we are given that the positive square root of the result (which is 2x/3) is equal to x. This gives us   √(2x/3) = x   2x/3 = x^2   2x = 3x^2   3x^2 – 2x = 0   x(3x – 2) = 0   x = 0 or   3x – 2 = 0   3x = 2   x = 3/2   Because x is positive, x = 3/2. The answer is 3/2.
Answer: B
A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 85, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined? Options.
A) 74	B) 75	C) 76	D) 77	E) 78

Solution: ratio is 4:6:5 , numbers are 4x, 6x, 5x   total scores of each class is (65*4x + 6x * 85 + 77*5x) = 260x+510x+385x = 1155x   total number of students 260 +510 +385= 
260 +510 +385 = 1_155
1155x   total number of students= 15x   average = 1155x/15x = 77   77 is the answer1155 /15= 
1155 /15 = 77
77   77 is the answer
Answer: D
A man sells an article at a gain 15%. If he had bought it at 10% less and sold it for 9 less, he would have gained 25%. Find the cost price of the article.  Pick one:
A) 150
B) 160
C) 170
D) 180
E) 360

Solution: Let the C.P. be 100   First S.P. = 115   Second C.P. = 90   Second S.P = 125% of 90 = 112.50   Difference of two selling prices is 115 – 112.50 = 2.50 and C.P. of the article is 100   But actual difference is 9.   ∴ C.P. = 100⁄2.50 × 9 = 360.   Answer 360
Answer: E
Which of the following is equivalent to the pair of inequalities x + 8 > 10 and x - 4 <= 5 ? Choose the correct option.
A) 2 < x < 16	B) 2 <= x < 4	C) 2 < x <= 9	D) 4 < x <= 8	E) 4 <= x <= 16

Solution: Solution:   Let’s isolate x in both inequalities, starting with x + 8 > 10.   x + 8 > 10   x > 2   Next we isolate x in the inequality x – 4  5.   x – 4 <= 5   x <= 9   Bringing these two inequalities together we know:   2 < x <= 9   The answer is 2 < x <= 9.
Answer: C
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?  Answers
A) 0	B) 1	C) 10	D) 19	E) None

Solution: EXPLANATION   Average of 20 numbers = 0.   Sum of 20 numbers (0 x 20) = 0.   It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).   0nswer 0
Answer: A
Ratio between Rahul and Deepak is 4:3, After 10 Years Rahul age will be 26 years. What is Deepak present age Pick one
A) 12	B) 15	C) 20	D) 22	E) 23

Solution: Explanation:   Present age is 4x and 3x,   => 4x + 10 = 26 => x = 4   So Deepak age is = 3(4) = 12   12nswer: Option 12
Answer: A
The number N is 5,3H7, where H represents the ten's digit. If N is divisible by 9, what is the value of H?  Answers.
A) 4 B) 3 C) 5 D) 8 E) 2

Solution: If the number is divisible by 9, it must also be divisible by 3. Only 3 yields such a number.   Answer: 3
Answer: B
Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word MANGO could be arranged to create a five-letter code?  Answers:
A) 5!
B) 5! − (3! + 2!)
C) 5! − (3! × 2!)
D) 5!/(3! + 2!)
E) 5!/(3! × 2!)

Solution: MANGO - five letters can be arranged in 5! ways   since there is no repetition in MANGO so   5!   Ans. 5!) 5!
Answer: A
If x < y < 0, which of the following must be true?	Choose the correct option.
A) (-x)+ (-y) is positive integer	B) 2x+y is a negative integer	C) x-y is a positive integer	D) 2xy/3x is a negative integer	E) xy/2

Solution: Given x, y are less than 0. So both will be negative integers   negative + negative = negative   negative * negative = positive   negative / negative = positive   x-y is false since xSo, option (-x)+ (-y) is positive integer is true , because if we multiple negative number with negative it becomes positive(x, y are negative numbers)   (-x)+ (-y) is positive integernswer : (-x)+ (-y) is positive integer
Answer: A
The average age of a class of 22 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher Pick one:
A) 30 Years  B) 31 Years  C) 33 Years  D) 34 Years  E) 49 Years

Solution: Total age of students is 22X10 = 220 Years   Total age inclusive of teacher = 23X (10+1) = 253   So, Teacher's age is 253-220= 
253-220 = 33
33 Yrs   There is a shortcut for these type of problems   Teacher's age is 10+(23X1)= 33 Years   33 Years
Answer: C
Given that a is the average (arithmetic mean) of the first seven positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?	Choices:  A) 3:4  B) 8:13  C) 5:6  D) 13:10  E) 4:3

Solution: The first nine positive multiples of six are {6, 12, 18, 24,30, 36, 42}   The first twelve positive multiples of six are {6, 12, 18, 24, 30,36,42, 48, 54, 60, 66, 72}   Both sets are evenly spaced, thus their median=mean:   a=24 and b=(36+42)/2= 
(36+42)/2 = 39
39 --> a/b=24/39=8/13.   Answer: 8:13.
Answer: B
If the sum of 9 consecutive integers is 90, what is the sum of the following 9 consecutive integers? Answers
A) 99
B) 135
C) 145
D) 171
E) 180

Solution: 1) greatest of each will have a difference of 9 and next greatest too will have a difference of 9 and so on..   Therefore all nine terms will have a term MORE by 9..   Sum =90+(9*9)= 
90+(9*9) = 171
171   2) if sum is 90, the average= median=90/9=10..The median of next 9 will be 10+9=19..   And sum would be   19*9= 
  19*9 = 171
171   ANSWER:171
Answer: D
Question:	A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $180. The cost for 1 bat and 6 balls is $190, as well. If someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $195 for the purchase?
Options:
Choose the correct choice:
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: IMO it should be C that is C   reason:   formed an equation... bat = b ball = c   2b+4c=180   1b+6c=190   solving both we get b that is bat = 40 and c that is ball = 25   new equation 195 to be divided in equal   3b+3c=195   3*40 + 3*25= 
3*40 + 3*25 = 195
195   120+75= 
120+75 = 195
195
Answer: C
In a neighborhood having 90 households, 11 did not have either a car or a bike. If 18 households had a both a car and a bike and 44 had a car, how many had bike only? Choose the correct choice from the following answers.
A) 30
B) 35
C) 20
D) 18
E) 10

Solution: {Total}={Car}+{Bike}-{Both}+{Neither} --> 90=44+{Bike}-18+11 --> {Bike}=53 --> # those who have bike only is {Bike}-{Both}=53-18= 
53-18 = 35
35.   Answer: 35.
Answer: B
In what time will Rs.4200 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest? Choose one:	A) 8 1/3	B) 8 1/6	C) 8	D) 8 1/2	E) 8 1/5

Solution: (4200*3*R)/100 = (5000*5*4)/100   R = 8   Answer: 8
Answer: C
A thief steels a car at 2.30p.m. and drives it at 60kmph. The theft is discovered at 3p.m. and the owner sets off in another car at 75 kmph. When will he overtake the thief?	Choose the correct answer
A) 5p.m. B) 6p.m. C) 4p.m. D) 7p.m. E) 3p.m.

Solution: Suppose the thief overtakes x hours after 2.30p.m.   Distance covered by the thief in x hrs = distance covered by the owner in (x-1/2 hours)   60x = 75(x-1/2)   15x = 75/2   x = 5/2 hrs   Thief is overtaken at 5p.m.   5p.m.nswer is 5p.m.
Answer: A
(1/36)+(1/37)+……+(1/66)+(1/67) is including in which of the following ranges?
Options: A) 2 B) 1 C) 1~ 2 D) 3 E) 1/2~1

Solution: Number of terms in the given series = 32.   The lowest term is 1/67 , the largest being 1/36.   Thus, the sum of the given series will be more than   1/67 + 1/67.....1/67 (32 times)   ---> 32*(1/67) = 32/67   less than 1/36 + 1/36...... 1/33 (32 times)   ---> 32*(1/36) = 32/36 = 1 (approx)   1/2~1
Answer: E
B completes a work in 3 days. A alone can do it in 10 days. If both work together, the work can be completed in how many days?
Choose the correct choice:
A) 2.31 days B) 4.31 days C) 5.31 days D) 6.31 days E) 7.31 days

Solution: 1/3 + 1/10 = 13/30   30/13 = 2.31 days   2.31 daysNSWER:2.31 days
Answer: A
The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Select the correct option: A) 2197 B) 1267 C) 1750 D) 2267 E) 1262

Solution: Explanation:   C.I. = [4000 * (1 + 10/100)2 - 4000]   = (4000 * 11/10 * 11/10 - 4000) = Rs. 840.   Sum = (420 * 100)/(3 * 8) = Rs. 1750   Answer:1750
Answer: C
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}  Pick.
A) 100 B) 360 C) 120 D) 240 E) 60

Solution: Explanation:   The given digits are 1, 2, 3, 5, 7, 9   A number is even when its units digit is even. Of the given digits, two is the only even digit.   Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.   Number of even numbers = ⁵P₃ = 60.   ANSW60R IS 60
Answer: E
The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?  Choose the correct choice:
A) 16  B) 18  C) 20  D) 24  E) 25

Solution: 3:4   Total parts = 7   = 7 parts --> 28 (7 × 4 = 28)   = 1 part ---->4 (1 × 4 = 4)   = The greater of the two number is = 4   = 4 parts ----> 16 (4 × 4 = 16)   16
Answer: A
If the function Q is defined by the formula Q = 5e/(4x(z^2)), by what factor will Q be multiplied if e is quadrupled, x is doubled, and z is tripled?	Choose one.
A) 1/9  B) 2/9  C) 4/9  D) 3/9  E) 2/27

Solution: We just need to find the factor thats all,   e -> quadrupled -> 4e   x-> doubled -> 2x   z-> tripled -> 3Z   Hence, Z^2 = 9Z^2   e is in numerator, and x*z in denominator.   Hence,   Additional factor being introduced = 4/2*9   =4/18 = 2/9 = 2/9
Answer: B
The greatest common factor of two numbers is 6!. Which of the following can be the second number, if one of the numbers is 8!? Select.
A) 3(5!)  B) 4(5!)  C) 5(5!)  D) 6(6!)  E) 7(5!)

Solution: GCF is the product of common factors of the numbers involved.   GCF = 6!   a = 8! = 8*7*6!   b will certainly have 5! and cannot have any more common factors with a (as this will increase the GCF)   Looking at the answers only 6 (6!) and 8! will have GCF as 6!   Ans 6(6!)
Answer: D
if the ratio of simple interest on certain sum with same rate is 4:3.what is the ratio of time.  Pick one:
A) 3:5  B) 6:5  C) 5:4  D) 4:3  E) 2:3

Solution: let ratio constant be x.   4x/3x=(p*r*t1/100)/(p*r*t2/100)   t1/t2=4:3.   answer 4:3
Answer: D
The average of the first five prime numbers greater than 20 is:  Select:
A) 32.2
B) 32.22
C) 31.22
D) 32.27
E) 32.28

Solution: Explanation:   Required prime numbers are 23, 29, 31, 37, 4.   32.2verage will be (23 + 29 + 31 + 37 + 41)/5= 
(23 + 29 + 31 + 37 + 41)/5 = 161/5 = around 32.2
32.20   32.2nswer: 32.2
Answer: A
4623.186 is rounded off to the nearest thousand, hundred, ten and one. Let the results be represented with the alphabets r,s,t,u respectively. which of the statements below is accurate?  Choose one:
A) t<s<u<r
B) u<t<s<r
C) s<r<u<t
D) s<u<t<r
E) s<t<u<r

Solution: 4623.186..   Nearest thousand 5000..r   Nearest hundred 4600..s   Nearest ten 4620..t   Nearest one 4623..u   s<t<u<r   The correct option is s<t<u<r
Answer: E
Four numbers are in the ratio 2:3:4:5 add up to give a sum of 1344. Find the biggest number.	Answers:
A) 480	B) 239	C) 270	D) 282	E) 112

Solution: 480NSWER : 480
Answer: A
A gardener increased the length of a rectangle-shaped garden by 20 percent and decreased its width by 10 percent. The area of the new garden  Select:
A) has increased by 20 percent
B) has increased by 12 percent
C) has increased by 8 percent
D) is exactly the same as the old area
E) cannot be expressed in percentage terms without actual numbers

Solution: Let L be the original length and let W be the original width.   The original area was L*W.   The new area is 0.9W*1.2L = (0.9)(1.2)L*W = 1.08*L*W   The answer is has increased by 8 percent.
Answer: C
Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled ? Choose the correct choice from the following answers
A) 2 B) 2.5 C) 3 D) 3.5 E) None

Solution: Solution   part filled by (A+B+C) in 1 hour	= (1/5 + 1/6 + 1/30)   ‹=› 1/3.   All the three pipes together will fill the tank in 3 hours.   Answer 3
Answer: C
On a trip, a cyclist averaged 9 miles per hour for the first 18 miles and 10 miles per hour for the remaining 12 miles. If the cyclist returned immediately via the same route and took a total of 7.2 hours for the round trip, what was the average speed (in miles per hour) for the return trip? Options:
A) 6.9
B) 7.2
C) 7.5
D) 7.8
E) 8.1

Solution: The time to go 30 miles was 18/9+12/10=2+1.2= 
2+1.2 = 3.2
3.2 hours.   The average speed for the return trip was 30 miles/4 hours= 7.5 mph.   The answer is 7.5.
Answer: C
The cricket team of 11members is 28yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ? Choose the correct choice from the following
A) 21	B) 22	C) 23	D) 25	E) 28

Solution: Let the average age of the whole team be x years.   11x - (28 + 31) = 9 (x - 1)   => 11x - 9x = 50   => 2x = 50   => x = 25.   So, average age of the team is 25 years.   25
Answer: D
If the sides of a triangle are 30 cm, 28 cm and 12 cm, what is its area?  Choose the correct choice from the following.
A) 120 cm2  B) 112 cm2  C) 776 cm2  D) 666 cm2  E) 168 cm2

Solution: The triangle with sides 30 cm, 28 cm and 12 cm is right angled, where the hypotenuse is 30 cm.   Area of the triangle = 1/2 * 28 * 12= 
1/2 * 28 * 12 = 168
168 cm2   Answer: 168 cm2
Answer: E
A group of students was interviewed for that if it was asked whether or not they speak French and / or English. Among those who speak French, 30 speak English well, while 40 of them do not speak English. If 86% of students do not speak French, how many students were surveyed?  Choose the correct choice from the following answers:
A) 500	B) 450	C) 250	D) 350	E) 525

Solution: Number of students who speak French are 30 + 40= 
30 + 40 = 70
70   Of total students, the percentage of students who do not speak French was 86% --> percentage of who do is 14%   70-------14%   x ------- 100%   x= 70*100/14= 
70*100/14 = 500
500= number of all students   500nswer is 500
Answer: A
The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is: Pick.
A) 101 B) 107 C) 111 D) 112 E) 113

Solution: Let the numbers be 37a and 37b.   Then, 37a * 37 b = 4107 => ab = 3   Now, co-primes with product 3 are (1, 3).   So, the required numbers are (37 * 1, 37 * 3) i.e., (1, 111).   Greater number = 111.   ANSWER:111
Answer: C
When positive integer x is divided by 6, the remainder is 1. Which of the following must be true?
I. x is a prime number
II. x is odd
III. x is divisible by 7
Choose the correct choice from the following choices:
A) I only  B) II only  C) III only  D) I and II only  E) II and III only

Solution: X=6q+1   Examine II) put q=0,1,2,3....... we have x=1,7,13,...25 so x must be odd   Examine III) 14/6 has reminder 2 & 49/7 has reminder 1 so not always true   Examine I) X= 7 true but while 2 is prime, it does not give reminder 1   Answer: II only
Answer: B
Rs.8000 become Rs.8988.80 in a certain interval of time at the rate of 6% per annum of C.I. Find the time?  Choose the most appropriate option:  A) 6 years  B) 8 years  C) 9 years  D) 3 years  E) 2 years

Solution: 8988.80 = 8000(53/50)N   (53/50)^2 = (53/50)^N   N = 2   At the end of two years what will be the comp.Answer: 2 years
Answer: E
If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 45. By how much do the two digits differ?
Select
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: we are given that if the integer N has its digits reversed the resulting integer differs from the original by 45. First let’s express the reversed number in a similar fashion to the way in which we expressed the original integer.   10B + A = reversed integer   Since we know the resulting integer differs from the original by 45 we can say:   10B + A – (10A + B) = 45   10B + A – 10A – B = 45   9B – 9A = 45   B – A = 5   Since B is the tens digit and A is the units digit, we can say that the digits differ by 5.   The answer is 5.
Answer: C
Veena ranks 73rd from the top in a class of 198. What is her rank from the bottom if 22 students have failed the examination? Answers
A) 88	B) 104	C) 110	D) 90	E) 93

Solution: total student=198   failed=22   paasd student=198-22= 
198-22 = 176
176   from bottom her rank is=176-73+1= 
176-73+1 = 104
104   ANSWER:104
Answer: B
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Select the correct option:
A) 20
B) 30
C) 40
D) 50
E) 60

Solution: Let the numbers be a, b and c.   Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131.   (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138+2x131= 400.   (a + b + c) = square root of 400 = 20   answer :20
Answer: A
Which of the following has 60^80 as a factor?  Pick one:
A) 15^60
B) 30^40
C) 120^80
D) 60^60
E) 90^80

Solution: Here 60^80 = 30^80 * 20^80 Only Option C has both .   Smash 120^80
Answer: C
Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word TIE could be arranged to create a three-letter code? Options
A) 3!	B) 3! − (3! + 2!)	C) 3! − (2!)	D) 3!/(3! + 2!)	E) 3!/(3! × 2!)

Solution: TIE - three letters can be arranged in 3! ways   since 'there is no repetition'   3!   Ans. 3!) 3!
Answer: A
----------------YES---------NO----UNSURE Subject M----500--------200-----100 Subject R----400--------100-----300 A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. If 150 students answered yes only for subject M, how many of the students did not answer yes for either subject? Choose the correct choice
A) 100	B) 250	C) 300	D) 400	E) 500

Solution: Since 150 students answered yes only for subject M, then the remaining 350 students who answered yes for subject M, also answered yes for subject R. So, 350 students answered yes for both subjects.   If 350 students answered yes for both subjects, then 400-350= 
400-350 = 50
50 students answered yes only for subject R.   So, we have that:   200 students answered yes only for subject M;   50 students answered yes only for subject R;   300 students answered yes for both subjects;   Therefore 800-(200+50+300)= 
800-(200+50+300) = 250
250 students did not answer yes for either subject.   Answer: 250.
Answer: B
In 1982 and 1983, Company B’s operating expenses were $10.0 million and $12.0 million, respectively, and its revenues were $15.6 million and $18.8 million, respectively. What was the percent increase in Company B’s profit (revenues minus operating expenses) from 1982 to 1983 ? Choose the correct choice from the following options:	A) 3%	B) 16 2/3%	C) 25%	D) 21 3/7%	E) 60%

Solution: Profit in 1982 = 15.6 - 10= 
15.6 - 10 = 5.6
5.6 million $   Profit in 1983= 18.8 - 12= 
18.8 - 12 = 6.8
6.8 million $   Percentage increase in profit= (6.8-5.6)/5.6 * 100 %   = 21 3/7%   Answer 21 3/7%
Answer: D
A car travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour? Choose the most appropriate option:	A) 71.11	B) 71.12	C) 71.1	D) 71.17	E) 71.13

Solution: Car travels first 160 km at 64 km/hr   Time taken to travel first 160 km = distancespeed=16064   Car travels next160 km at 80 km/hr   Time taken to travel next 160 km = distancespeed=16080Total distance traveled = 160+160=2×160Total time taken = 16064+1608071.11verage speed = Total distance traveledTotal time taken=2×16016064+16080=2164+180=2×64×8080+64=2×64×80144=2×8×8018=6409=71.11 km/hr   71.11nswer:71.11
Answer: A
Two terms are in 3 : 4, if 10 is added to each of the terms, they will be 4 : 5. Find second term?	Select the correct option
A) 10
B) 30
C) 20
D) 40
E) 35

Solution: Solution:   Let the two numbers be 3x and 4x. Then, (3x+10)/(4x+10) = 4/5.   => 15x+50 = 16x+40 => x = 10.   .'. Second term = 4*10= 
4*10 = 40
40.   ANSWER IS 40
Answer: D
How many different ways can you select a pilot and a co pilot if you have 70 people to choose from? Choices:
A) 199	B) 200	C) 398	D) 4950	E) 4830

Solution: 1) PERMUTATION:-   since it is selection, we have to find permutation..   70P2= 70!/(70-2)!=4830   ANS:4830
Answer: E
We have 36kg flour and 60kg sugar in stock and we would like to use the minimum number of packs that would have the same weight for both flour and sugar. How much more sugar is required if we would like to full 10 packs either of flour or sugar?
Answers.
A) 12	B) 18	C) 20	D) 24	E) 30

Solution: k is the integer that represents kg of pack   ak = 36 --> k = 36/a   bk = 60 --> k = 60/b   36/a = 60/b --> 5a = 3b and then k=12 for min(a+b)   a=36/12= 
36/12 = 3
3 , b=60/12= 
60/12 = 5
5   Total number of packs= 3+5= 
3+5 = 8
8   10-8= 
10-8 = 2
2 packs more required     2 *12= 
  2 *12 = 24
24 kg more sugar required to have 10 packs.   ANSWER: 24
Answer: D
You are visiting your friend. When you walk in her room, you find that there are seven girls. Each of the seven girls have seven bags which consist of 7 adult cats each. Now, each of the adult cat has seven little cats as well along with them.
We know that each cat has four legs, can you find out the total number of legs in the room?	Pick:
A) 26197 B) 23578 C) 10992 D) 14728 E) 11092

Solution: C   10992   Each girl has seven bags with seven adult cats each.   Also, each adult cat has seven little cats.   Thus each girl has 49 adult cats and 343 little cats.   Hence, seven girls will have   343 adult cats and 2410 little cats.   If we calculate the number of legs now.   Girls = 7 * 2= 
7 * 2 = 14
14   Cats + Little cats= 2744 * 4= 
2744 * 4 = 10_976
10976   Total legs= 10976 + 14= 
10976 + 14 = 10_990
10990   Since I also walked in the room, there will be two more legs.   Now total legs= 10990 + 2= 
10990 + 2 = 10_992
10992.
Answer: C
A and B together have Sterling 1260. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have? Choices.
A) Sterling 460
B) Sterling 484
C) Sterling 550
D) Sterling 504
E) None

Solution: Explanation: 4/15A = 2/5B   A = (2/5 x 15/4)B   A = 3/2 B   A/B = 3/2   A : B = 3 : 2.   B's share = Sterling (1260 x 2/5) = Sterling 504.   Answer: Option Sterling 504
Answer: D
In a shop 80% of the articles are sold at a profit of 10% and the remaining at a loss of 40%.what is the overall profit/loss?  Choose the correct choice
A) 10% profit
B) 10% loss
C) 15% profit
D) no profit, no loss
E) none

Solution: 80*1.1+20*0.6/100=1   ANSWER:no profit, no loss
Answer: D
Some ladies can do a piece of work in 12 days. Two times the number of such ladies will do half of that work in :  Choose one:
A) 6 days B) 4 days C) 12 days D) 3 days E) 7 days

Solution: Let x ladies can do the work in 12 days. More ladies, less days (Indirect)   Less work, less days (direct)   Ladies 2x : x Work 1 : ½   2x : x , 1 : ½ : : 12 : y   :. 2x * 1*y = x* ½ *12 or y = 3   Hence the required number of days = 3   ANSWER:3 days
Answer: D
A bus can hold 108 passengers. If there are 12 rows of seats on the bus, how many seats are in each row? Pick:
A) 1
B) 2
C) 9
D) 25
E) 26

Solution: Total number of passengers = 108   There are 12 rows of seats on the bus.   To find how many seats are there in each row, divide the total number of passengers by the number of rows of seats on the bus.   We get, divide 108 by 12   108 ÷ 12 = 9   Therefore, there are 9 seats in each row   ANSWER IS 9
Answer: C