MU-NLPC/Calc-aqua_rat huggingface dataset:
A company has 50 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Eight employees have done just two courses and only one made ​​the three courses. How many employees have no training?  Choose the most appropriate option.
A) A)0 B) B)9 C) C)10 D) D)11 E) E)26

Solution: Total employees=50   studied accounting=22   studied finance=15   studied marketing=14   8 employees have been double counted and one employee has been counted thrice.   Therefore employees who have received training=22+15+14-8-(2*1)   =51-10= 
51-10 = 41
41   Employees with no training=50-41= 
50-41 = 9
9   Ans=9
Answer: B
A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent?
Choose the correct choice from the following answers:  A) 7  B) 6  C) 8  D) 5  E) 4

Solution: Let CP of an article = RS. 100   MP= Rs. 120   Discount = 20%   SP = M[(100 - d%)/100] = 120(80/100) = Rs. 96   Clearly, the trader gets 4% loss.   Answer: 4
Answer: E
529 is a perfect square. When x is added to the prime factor of 529, the result will give a perfect cube.then what is x?	Choose the correct choice from the following options.
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: 529 is 23*23   here   A 23+1= 
23+1 = 24
24   B   23+2= 
  23+2 = 25
25   C   23+3= 
  23+3 = 26
26   D   23+4= 
  23+4 = 27
27   E   23+5= 
  23+5 = 28
28   so, D is the only addition that gives a perfect cube. so x=4   then the answer is 4
Answer: D
In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number?
Choose the correct choice from the following.
A) 867	B) 864	C) 385	D) 946	E) 549

Solution: 864   864   Let the three digit numbers be 100a + 10b + c   a = b + 2   c = b - 2   a + b + c = 3b = 18 => b = 6   So a = 8 and b = 4   Hence the three digit number is: 864
Answer: B
Two numbers are in the ratio of 7:6. If 18 be subtracted from each, they are in the ratio of 6:5. Find the numbers?
Choose the correct choice:  A) 5,9  B) 7,9  C) 4,7  D) 7,6  E) 6,9

Solution: (7x-18):(6x-18) = 6:5   x = 1 => 7,6   Answer: 7,6
Answer: D
A person bought apples at 10 for $1 and sold them at 4 for $1. Find his gain or loss percent?  Choices.
A) 150%	B) -100%	C) 100%	D) -50%	E) 50%

Solution: Number of bananas bought = L.C.M of 10 and 4 = 20   C.P. = 1/10 * 20= 
1/10 * 20 = 2
$2   S.P.= 1/4 * 20= 
1/4 * 20 = 5
$5   Gain%= 3/2 * 100= 
3/2 * 100 = 150
150%   150%nswer is 150%
Answer: A
If n ≠ 0, which of the following must be greater than n?
I. 6n
II. n^2
III. 2 - n
Answers:
A) I only
B) None
C) I and II only
D) II and III only
E) II only

Solution: n ≠ 0 => n = negative or n = positive   if n = negative:   2n < n (n = -1 then 2n = -2 => -2 < -1)   n^2 > n (n =-1 then n^2 = 1 => n^2 > n)   2 - n > n (n = -1 then 2--1 = 2+1= 
2+1 = 3
3=> 2-n > n)   but if n = positive:   n^2 > n (n = 2 then n^2 = 4 => n^2 > n) => II   2 - n < n(n =2 then 2-2= 
2-2 = 0
0)=> only II   =>answer is II only
Answer: E
Line Q has the equation 5y – 3x = 75. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.)
Choose the correct choice from the following
A) 48	B) 52	C) 56	D) 60	E) 64

Solution: 5y - 3x = 75 and so y = 3x/5 + 15   When x = 0, then y = 15.   When y = 0, then x = -25   The slope is 3/5, so the slope of line S is -5/3.   Through the point (-25, 0), 0 = -5(-25)/3 + c   The y-intercept is c = -125/3 < -41.   Thus the perpendicular line S can have y-intercepts from -41 up to 14.   The number of possible lines is   41 + 14 + 1= 
  41 + 14 + 1 = 56
56   The answer is 56.
Answer: C
In a certain match all the teams were to play with each other. If there are 12 teams, how many matches will have to be played?  Choose the correct choice from the following answers:	A) 40	B) 45	C) 66	D) 90	E) None of the above

Solution: 12c2   =66   ANSWER:66
Answer: C
A question paper has 2parts, A & B, each containing 10 questions. If a student has to choose 5 from part A &10 from part B, in how many ways can he choose the questions?  Choose the correct choice from the following:
A) 100
B) 120
C) 125
D) 350
E) 252

Solution: There 5 questions in part A out of which 10 question can be chosen as = 10C5   Similarly, 10 questions can be chosen from 10 questions of Part B as = 10C10.   Hence, total number of ways,   =10C5*10C10   =[10!/(5!5!)]*[10!/(0!*10)]   = {10*9*8*7*6/(5*4*3*2*1)}* 10!/1*10!   = 252   252
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?  Choose the correct choice:	A) 100	B) 120	C) 130	D) 150	E) 160`

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.   Answer: Option 150
Answer: D
If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b? Choices:
A) 2
B) 3
C) 4
D) 5
E) 7

Solution: Let the roots of the equation 2a and 3a respectively.   2a + 3a = 5a 2  + 3= 
2  + 3 = 5
5a= -(- 5/2) = 5/2 => a = 1/2   Product of the roots: 6a2 = b/2 => b = 12a2   a = 1/2, b = 3.   3
Answer: B
Find the missing figures :
?% of 30 = 2.125  Choose the correct answer
A) 8.5 B) 6.5 C) 8.07 D) 7.08 E) 4.05

Solution: (i)	Let x% of 30 = 2.125. Then , (x/100)*30 = 2.125   X = (2.125 * 100/30) = 7.08   Answer is 7.08.
Answer: D
A can run 3 Kms in 3 min 18 sec and B can run same distance in 3 min 40 sec, then by how much distance A can beat B?	Select the correct option
A) 300 m  B) 220 m  C) 280 m  D) 195 m  E) 295 m

Solution: Distance travelled=3000m   Time taken by A=3 m 18 s   Time taken by B=3 m 40 sec=220 sec   speed of B=3000m/220 s=150/11 m/s   Difference between time of A and B=22 sec   when time will be 3 m 18 s A will have travelled 3000m but B need 22 sec more to finish.   Distance travelled by B in 22 sec=(150/11)*22= 
(150/11)*22 = 300
300 m   Hence, 300 m beat B by 300 m   300 mNSWER:300 m
Answer: A
In how many ways can the letters of word CAREER be arranged such that all the vowels as well as all the Consonants always appear together?  Pick
A) 3!*3!*2!
B) 5!*4!
C) 5!*5!
D) 5!*4!*2!
E) 6!*4!

Solution: Since all the vowels and consonants have to be together there can only be there are 3! way to order the vowels and 3! to order the consonants. But they must be together either vowels come first or consonants so you multiply by 2.   So 3!3!2! (3!*3!*2!)
Answer: A
A major airplane manufacturer announced the sale of 150 small airliners at $125 million each, 75 medium sized airliners at $175 million each, and 60 large airliners at $220 million each. What percentage of the company's income came from large and medium airliners?  Choices:
A) 29%
B) 41%
C) 58%
D) 69%
E) 70%

Solution: Answer is (money from mid and large plane)/(total money from all the planes)x 100   =(175∗75+220∗60)/(125∗150+175∗75+220∗60)∗100(175∗75+220∗60)/(125∗150+175∗75+220∗60)∗100   = 58.4%   you could just multiply add divide to get answer.   However sometimes its much better to make it easy we should see if we have any common terms   125*150=(5*5*5)*(2*3*5*5)   175*75=(5*5*7)*(3*5*5)   220*60=(2*2*11*5)*(2*2*3*5)   3*5*5 is common cancel it   Ans becomes   (175+176)/(176+175+250)*100 =~=~ 350/600*100=~=~7/12*100=60% >>> 58% is closest.   ANSWER:58%
Answer: C
A tank is filled by 3 pipes A,B,C in 7 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ? Choices:	A) 25hr	B) 35hr	C) 40hr	D) 49hr	E) 50hr

Solution: Suppose pipe A alone take x hours to fill the tank   Then pipe B and C will take x/2 and x/4 hours respectively to fill the tank.   1/x + 2/x + 4/x = 1/7   7/x = 1/7   x = 49 hours   Answer is 49hr
Answer: D
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?	Choose the correct option
A) 1  B) 3  C) 4  D) 2  E) 6

Solution: Let the sides of the rectangle be l and b respectively.   From the given data,   (√l2 + b2) = (1 + 108 1/3 %)lb   => l2 + b2 = (1 + 325/3 * 1/100)lb   = (1 + 13/12)lb   = 25/12 lb   => (l2 + b2)/lb = 25/12   12(l2 + b2) = 25lb   Adding 24lb on both sides   12l2 + 12b2 + 24lb = 49lb   12(l2 + b2 + 2lb) = 49lb   but 2(l + b) = 28 => l + b = 14   12(l + b)2 = 49lb   => 12(14)2 = 49lb   => lb = 48   Since l + b = 14, l = 8 and b = 6   l - b = 8 - 6= 
8 - 6 = 2
2m.   Answer:2
Answer: D
In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 36, what will be his grade at the end of the third year?  Choose the correct answer:
A) 44 B) 56 C) 62 D) 75 E) 61

Solution: Cool question!   There's a lot of information given here, so let's eat slow here.   Joey scores a 36 at the end of his first year. That means that he's currently 16 years old (since given per instruction, after the first year one's grade is determined by doubling his/her age).   Now, come next year, or his second year at this psychology school, he's technically 17 years old. To find out the second year's grade, we want to double his age PLUS half of his previous grade.   Well, his second year is then going to be 17(2) + 16 = 50.   Now let's tackle the main question: what's his grade going to be the third year?   Well, he will be at an age of 22 on his third year at this school. Again, to find out his third year's grade, you're going to double his age (18x2), plus half of his previous year's grade (as calculated for his second year, his grade is 50; therefore, 50/2)   Having said that, the final answer would be 18(2) + 50/2 = 36 + 25= 
36 + 25 = 61
61 --> (61)
Answer: E
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?  Select the correct option:	A) 165 ways	B) 176 ways	C) 197 ways	D) 160 ways	E) 162 ways

Solution: Total number of persons in the committee   = 5 + 6= 
5 + 6 = 11
11   Number of ways of selecting group of eight persons= ¹¹C₈   = ¹¹C₃ = (11 * 10 * 9)/(3 * 2)= 
(11 * 10 * 9)/(3 * 2) = 165
165 ways.   165 waysnswer:165 ways
Answer: A
A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?	Choices
A) 0  B) 1/9  C) 2/9  D) 1/3  E) 1

Solution: Probability = (favorable cases)/(total number of cases)   Total number of ways in which a person can ride car = 3*3*3= 
3*3*3 = 27
27   (In first ride he has 3 options to sit, in second right again he has 3 seats available to sit and so on)   Number of favorable cases, i.e., when he rides on different cars;   He can choose seat car in 3 ways in his 1st ride.   He can choose seat car in 2 ways in his 2nd ride.   He can choose seat car in 1 ways in his 3rd ride.   So, 3*2*1= 6 ways   Thus, probability of choosing different seats = 6/27 = 2/9   Answer: 2/9
Answer: C
In what ratio must tea at Rs.60 per Kg be mixed with tea at Rs.70 per Kg so that the mixture must be worth Rs.63 per Kg?  Choose the correct choice from the following
A) 3 : 1  B) 3 : 2  C) 4 : 3  D) 7 : 3  E) None

Solution: Required ratio = 700 : 300 = 7 : 3   Answer 7 : 3
Answer: D
Mr. Hernandez, who was a resident of State X for only 9 months last year, had a taxable income of $42,500 for the year. If the state tax rate were 4 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?
Choose the correct choice from the following:  A) $900  B) $1275  C) $1200  D) $1300  E) $1060

Solution: Total tax for the year = 42,500 x 4% = 1700   As stated Annual tax is prorated as per the duration of stay.   Prorated Tax = 1700 (9/12) = 1275   Answer $1275
Answer: B
A train running at the speed of 120 km/hr crosses a pole in 12 seconds. What is the length of the train?
Choose the correct choice from the following answers:
A) 200 m	B) 250 m	C) 300 m	D) 350 m	E) 400 m

Solution: Speed=(120 * 5/18) m/sec   = (100/3) m/sec Length of the train   = (Speed x Time)   = (100/3 * 12)= 
(100/3 * 12) = 400
400 m.   Answer:400 m
Answer: E
A and B started a partnership business investing some amount in the ratio of 6 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C? Answers
A) 4 : 9 : 8
B) 5 : 7 : 4
C) 12 : 10 : 5
D) 7 : 9: 4
E) 5 : 4 : 8

Solution: Let the initial investments of A and B be 6x and 5x.   A : B : C = (6x x 12) : (5x x 12) : (5x x 6) = 72 : 60 : 30   = 12 : 10 : 5.   ANSWER :12 : 10 : 5
Answer: C
If m is the product of all integers from 1 to 40, inclusive, what is the greatest integer p for which 10^p is a factor of m?
Select the correct option:  A) 7  B) 8  C) 9  D) 10  E) 11

Solution: The factors of 10 are 1, 2, 5, and 10.   To find what k is, find how many times you can make 10 with the numbers in 1-40.   First, find the 10's as they are going to be most restrictive. Only 10, 20, 30 and 40 have 10 as a factor. 4 total.   Next find 5's. 5, 15, 25 and 35 each have a 5, with 25 having 2. 5 total.   You don't need to find the twos as you know there are more than 5's.   Add the two you get 9.   ANSWER:9
Answer: C
7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?	Choose the correct answer
A) 340
B) 450
C) 680
D) 650
E) 700

Solution: Sol. Let the books distributed by man, a woman and a child be 5x, 4x and 2x respectively.   ∴ No. of books distributed in 1st day   = 7×5x+5×4x+8×2x=71x   No. of books distributed in 1Ind day   =7×5x+3×4x+5×2x=57x   And no. of books distributed in IIIrd day   =4×5x+5×4x+3×2x=46x   71x + 57x + 46x = 2000, x = 2000/174   57x=2000/174×57=650   650
Answer: D
A train 55 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?  Pick one:
A) 5
B) 6
C) 7
D) 3
E) 5

Solution: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr   [66 * 5/18] m/sec = [55/3] m/sec.   Time taken to pass the man = [55 * 3/55= 
55 * 3/55 = 3
3 sec   Answer: 3
Answer: D
What is the greatest possible length which can be used to measure exactly the lengths 10 m 50 cm, 14 m 55 cm and 50 cm?  Choose one:
A) 20 cm  B) 24 cm  C) 30 cm  D) 10 cm  E) 5 cm

Solution: Required length = HCF of 1050 cm, 1455 cm, 50cm = 5 cm   Answer is 5 cm
Answer: E
Which of the following is a prime number Choose the correct choice:
A) 18 B) 20 C) 19 D) 16 E) 24

Solution: Clearly, 19 is a prime number.   Option 19
Answer: C
A right circular cylinder has a height of 23 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid?
Choose one.
A) 500(π – 3)
B) 575(π – 1.5)
C) 500(π – 2)
D) 500(π – 1.5)
E) 500(π – 1)

Solution: [quote=Bunuel]A right circular cylinder has a height of 20 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid?   The square base has sides of sqrt(50) due to the 45-45-90 triangle   23*25*pi - 15*sqrt(50)^2   =575(π – 1.5)   B. 500(π – 1.5)
Answer: B
Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 155 per Kg , the price of the third variety per Kg will be? Answers.
A) Rs. 147.50 B) Rs. 785.50 C) Rs. 177.50 D) Rs. 258.50 E) None of these

Solution: Explanation :   Since first and second varieties are mixed in equal proportions.   So, their average price =Rs. (126+135)/2.   =>Rs. 130.50.   So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1.   We have to find x.   By the rule of alligation, we have:   Cost of 1 kg Cost of 1 kg   of 1st kind of 2nd kind   (Rs. 130.50) (Rs. x)   \ /   Mean Price   (Rs. 155)   / \   xâˆ’155 22.50   =>xâˆ’(155/22.50)=1.   =>xâˆ’155=22.50.   =>x= 177.50 Rs.   Answer : Rs. 177.50
Answer: C
A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 7% p.a for 2 years. Find his gain in the transaction per year. Choose the correct choice
A) 167.5  B) 150  C) 225  D) 112.5  E) 212.5

Solution: Explanation :   The person borrows Rs. 5000 for 2 years at 4% p.a. simple interest   Simple interest that he needs to pay = PRT/100=5000×4×2/100=400   He also lends it at 7% p.a for 2 years   Simple interest that he gets = PRT/100=5000×7×2/100=700   His overall gain in 2 years = Rs.700 - Rs.400 = Rs.300   His overall gain in 1 year = 300/2 = Rs.150   Answer : Option 150
Answer: B
$9,000 is deposited in a savings account that pays 14% annual interest compounded semiannually. To the nearest dollar, how much is in the account at the end of the year?  Choose the correct answer.
A) $11304.12 B) $12304.54 C) $11604.14 D) $10304.10 E) $9304.41

Solution: this is the case of semi-annual compoundingso, multiply time period by 2 and divide rate by 2   So,   new time=2periods and new rate=14/2= 
14/2 = 7
7%   Now,   CA=9000(1+7/100)^2=$10304.10   Hence answer is $10304.10
Answer: D
A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included ?  Select the correct option
A) 223	B) 186	C) 287	D) 167	E) 171

Solution: Explanation:   When at least 2 women are included.   The committee may consist of 3 women, 2 men : It can be done in\inline \fn_jvn {\color{Black} 4C_{3}\times 6C_{2}} ways   or, 4 women, 1 man : It can be done in \inline \fn_jvn {\color{Black} 4C_{4}\times 6C_{1}} ways   or, 2 women, 3 men : It can be done in \inline \fn_jvn {\color{Black} 4C_{2}\times 6C_{3}} ways.   Total number of ways of forming the committees   = \inline \fn_jvn {\color{186lack} 4C_{2}\times 6C_{3}+4C_{3}\times 6C_{2}+4C_{4}\times 6C_{1}}   = 6 x 20 + 4 x 15 + 1x 6   = 120 + 60 + 6= 
120 + 60 + 6 = 186
186   Answer: 186) 186
Answer: B
A and B can do a piece of work in 9 days. With the help of C they finish the work in 6 days. C alone can do that piece of work in?
Choose the correct choice from the following choices:
A) 33
B) 878
C) 18
D) 88
E) 11

Solution: 18 = 1/6 â€“ 1/9 = 1/18 => 18 days   Answer: 18
Answer: C
Pipe A can fill a pool in 12 hours at a constant rate. If Pipe A does the job for 8 hours and Pipe B does the rest of the job, which works at 1/3 constant rate of Pipe A. How long will it take for Pipe B alone to do the rest of the job?	Select the correct option:  A) 12hrs  B) 6hrs  C) 8hrs  D) 10hrs  E) 24hrs

Solution: Pipe A will do 8/12 in 8 hrs, so A does 2/3 of the work ..   Therefore, B will do the remaining 1/3 rd work alone..   As the speed of B is 1/3 rate of A, B will do the 1/3rd work in same time that A takes to complete full job...   ans 12   12hrs
Answer: A
If (x^2 + 1)y=6, which of the following is not a possible value for y?  Choices:
A) 3/2 B) 2 C) 1/3 D) 2/13 E) 13/2

Solution: Its simple   equation is (x^2 +1)y = 6 ===> x^2 = (6/y) - 1 . As , in LHS, it is x^2 the value has to be positive or zero in RHS.   Hence, (6/y) - 1>= 0 ===> y =< 6. Now only option E has greater value of 'y' than 6.   Thus, correct ans is 13/2
Answer: E
If logx (base 27) +logx (base 9) +logx (base3) =11 then find the value of x? Choose the correct option.
A) 3^4
B) 3^3
C) 3^5
D) 3^6
E) 3^9

Solution: logx(base 3)=Y   Now logx(base27)=logx(3^3 base)=1/3 logx(base3)=1/3 Y   Also logx(base 9)=1/2 logx(base3)=1/2 Y   Now as given,   1/3 Y + 1/2 Y+ Y = 11   So 11/6 Y = 11   Or Y =6   So logx(base3)=6   X=3^6   Answer 3^6
Answer: D
What is the greatest possible length which can be used to measure exactly the lengths 10 m, 14 m 50 cm and 20 m 40cm cm?  Select the correct option:	A) 20 cm	B) 10 cm	C) 25cm	D) 50 cm	E) 28 cm

Solution: Required length = HCF of 1000 cm, 1450 cm, 2040 cm = 10cm   Answer is 10 cm
Answer: B
If a, x, y, and z are positive integers and (x)×(y)×(z)=a^2, which of the following could be the values of x, y, and z? Choose the correct choice from the following answers
A) 3, 16, 25	B) 9, 25, 24	C) 2, 36, 32	D) 2, 9, 16	E) 8, 16, 36

Solution: As it contains every no. 2 times   2   36=6*6   32=4*4*2   2, 36, 32 is the answer
Answer: C
If the radius of a circle is decreased 20%, what happens to the area? Select the correct option.
A) 10% decrease  B) 20% decrease  C) 36% decrease  D) 40% decrease  E) 50% decrease

Solution: Area of Square = Pi* radius^2   New Radius = 4/5 * old radius   so new area = (4/5)^2 old area => 16/25 of old area => 64% old area   Answer : 36% decrease
Answer: C
Two numbers are respectively 12% and 60% more than a third number. The percentage that is first of the second is?	Choose the correct choice:
A) 50% B) 60% C) 70% D) 80% E) 90%

Solution: I II III   112 160 100   160----------112   100-----------? => 70%   Answer:70%
Answer: C
Tom read a book containing 480 pages by reading the same number of pages each day. If he would have finished the book 5 days earlier by reading 16 pages a day more, how many days did Tom spend reading the book?  Choose the correct choice from the following choices:	A) 10	B) 12	C) 15	D) 16	E) 18

Solution: Say the number of days Tom spent reading the book was dd. Then:   The number of pages he read per day would be 480/d   The number of pages he would read per day with an increased speed would be 480/d−5   e are told that the number of pages for the second case was 16 pages per day more, so 480/d=480/d−5−16   At this point it's much better to plug answer choices rather than solve for dd. Answer choice 1515 fits:  480/15= 
 480/15 = 32
32=480/15−5−16   Answer: 15
Answer: C
Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit?	Pick:	A) Rs. 8828	B) Rs. 8821	C) Rs. 8818	D) Rs. 8819	E) Rs. 8820

Solution: Explanation:   Amount = [8000 * (1 + 5/100)2]   = 8000 * 21/20 * 21/20   = Rs. 8820   Answer:Rs. 8820
Answer: E
If the sides of a triangle are 52 cm, 48 cm and 20 cm, what is its area? Choose the correct choice.
A) 450 cm^2	B) 470 cm^2	C) 480 cm^2	D) 420 cm^2	E) 460 cm^2

Solution: The triangle with sides 52 cm, 48 cm and 20 cm is right angled, where the hypotenuse is 52 cm.   Area of the triangle   = 1/2 * 48 * 20= 
1/2 * 48 * 20 = 480
480 cm^2   Answer: 480 cm^2
Answer: C
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly two bulbs are good? Pick
A) 20/21  B) 20/63  C) 10/21  D) 10/23  E) 10/31

Solution: Required probability = (5C2 . 410/212)/910/214 = (10 * 6)/126   = 10/21   Answer:10/21
Answer: C