MU-NLPC/Calc-aqua_rat huggingface dataset:
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?  Choose the correct choice from the following.
A) 3944
B) 2999
C) 2666
D) 2888
E) 2123

Solution: Let the side of the square plot be a ft.   a2 = 289 => a = 17   Length of the fence = Perimeter of the plot = 4a = 68 ft.   Cost of building the fence = 68 * 58   = Rs.3944.   3944nswer: 3944
Answer: A
The contents of a certain box consist of 40 apples and 30 oranges. How many oranges must be added to the box so that exactly 40% of the pieces of fruit in the box will be apples?  Choose the correct choice from the following:
A) 40
B) 50
C) 60
D) 70
E) 30

Solution: apple = (apple + orange + x)*0.4   40 = (30 + 40 + x)*0.4   x = 30   Answer: 30
Answer: E
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?  Answers:  A) 150  B) 180  C) 190  D) 200  E) 250

Solution: Let the five numbers be P, Q, R, S and T.   => P + Q + R + S + T = 655.   (P + Q)/2 = 85 and R = 125   P + Q = 170 and R = 125   P + Q + R = 295   S + T = 655 - (P + Q + R) = 360   Average of the last two numbers = (S + T)/2 = 180.   ANSWER 180
Answer: B
Which of the following has fractions in ascending order? Pick
A) 2⁄5, 3⁄5, 1⁄3, 4⁄7, 5⁄6, 6⁄7 B) 1⁄3, 2⁄5, 3⁄5, 5⁄6, 4⁄7, 6⁄7 C) 1⁄3, 2⁄5, 3⁄5, 4⁄7, 5⁄6, 6⁄7 D) 1⁄3, 2⁄5, 4⁄7, 3⁄5, 5⁄6, 6⁄7 E) None of these

Solution: 1⁄3 = 0.33; 2⁄5 = 0.4; 4⁄7 = 0.57; 3⁄5 = 0.6; 5⁄6 = 0.83 and 6⁄7 = 0.85   Answer 1⁄3, 2⁄5, 4⁄7, 3⁄5, 5⁄6, 6⁄7
Answer: D
The average height of 30 girls out of a class of 40 is 160 cm. and that of the remaining girls is 156 cm. The average height of the whole class is : Choose the correct choice from the following answers:
A) 159  B) 377  C) 888  D) 266  E) 277

Solution: Explanation:   159verage height of the whole class =(36×160+10×15640)=159(36×160+10×15640)=159 cms   159nswer:159
Answer: A
The ratio of the radius of two circles is 5: 3, and then the ratio of their areas is?  Choose the correct choice from the following answers:  A) 1: 8  B) 1: 6  C) 25: 9  D) 1: 3  E) 1: 2

Solution: r1: r2 = 5: 3   Πr12: Πr22   r12: r22 = 25: 9   Answer:25: 9
Answer: C
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?  Pick one:
A) 11758
B) 11756
C) 11753
D) 11750
E) 11751

Solution: 200 + 130= 
200 + 130 = 330
330   800 - 330= 
800 - 330 = 470
470   200 ---- 5000   470 ---- ?=> 11750   Answer: 11750
Answer: D
A vendor bought toffees at 6 for a dollar. How many for a dollar must he sell to gain 20%?
Choose the correct choice from the following.
A) 7	B) 6	C) 5	D) 9	E) 8

Solution: C   5   C.P. of 6 toffees = $ 1   S.P. of 6 toffees = 120% of $ 1 = $ 6/5   For $ 6/5, toffees sold = 6. For $ 1.   Toffees sold = 6 * 5/6= 
6 * 5/6 = 5
5
Answer: C
In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−2, −3)?	Choices:
A) 4	B) 2	C) 0	D) −2	E) −4

Solution: slope = rise/run = 6/12 = 1/2   The equation of the line is y = (1/2)x + b   3 = (1/2)(10) + b   b = -2   The equation of the line is y = (1/2)x - 2   To find the x-intercept, let y = 0:   0 = (1/2)x - 2   x = 4   The answer is 4.
Answer: A
A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 30 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
Select.
A) 90 B) 45 C) 50 D) 55 E) 60

Solution: 90- B = 120 Miles   B - C = 60 Miles   90vg Speed = 30 Miles   Time taken for 90-B 3t and B-C be t   avg speed = (120+60) / Total time   30 = 180/4t   t = 90   B-C = 90mph   90nswer 90
Answer: A
The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Choose the correct choice
A) 46  B) 83  C) 45  D) 53  E) 64

Solution: Sum of all the 13 numbers = 13 * 60= 
13 * 60 = 780
780   Sum of the first 7 of them= 7 * 57= 
7 * 57 = 399
399   Sum of the last 7 of them= 7 * 61= 
7 * 61 = 427
427   So, the 8th number= 427 + 399 - 780= 
427 + 399 - 780 = 46
46.   46nswer:46
Answer: A
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :	Choose the correct choice from the following.
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: Explanation:   Let the numbers be 13a and 13b.   Then, 13a * 13b = 2028   => ab = 12. Now, co-primes with product 12 are (1, 12) and (3, 4).   So, the required numbers are (13 * 1, 13 * 12) and (13 * 3, 13 * 4).   Clearly, there are 2 such pairs.   ANSWER IS 2
Answer: B
Ravi purchased 20 dozens of toys at the rate of Rs. 360 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?	Choose the correct answer.
A) 23%  B) 12%  C) 10%  D) 34.1%  E) 12.2%

Solution: C   C.P. of 1 toy = 360/12 = Rs. 30   S.P of 1 toy = Rs. 33   Profit = 3/31.25 * 100 = 10%
Answer: C
What is the least integer greater than –2+0.5?
Select
A) –2  B) –1  C) 0  D) 1  E) 2

Solution: irst, let's take care of the Arithmetic:   (-2) + (0.5) = -1.5   On a number line, since we're ADDING +.5 to a number, the total moves to the RIGHT (so we're moving from -2 to -1.5).   Next, the question asks for the LEAST integer that is GREATER than -1.5   Again, we can use a number line. Numbers become greater as you move to the RIGHT. The first INTEGER to the right of -1.5 is -1.   Final Answer:–1
Answer: B
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Pick one:	A) 814	B) 820	C) 840	D) 844	E) None of these

Solution: Explanation:   Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.   814rea of each tile = (41 × 41) cm2   814nswer: 814
Answer: A
At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 12:40 a.m., how long will the conference last if there are a total of 6 seminars that day?  Choices:
A) hours and 15 minutes  B) hours and 20 minutes  C) hours and 25 minutes  D) hours and 30 minutes  E) hours and 35 minutes

Solution: Well its like this S B S B S B S B S B S   the interval between 9 am to 11:40 am is 160 min having 3 seminars and 2 breaks .If 1 break is of 5 min than time for 3 seminars = 160 - 2*5= 
160 - 2*5 = 150
150   Time of 1 seminar=150 /3= 
150 /3 = 50
50 min .   So calculating for 6 seminars and 5 breaks ,total time comes out to be 5 hrs and 20 min .   Answer is hours and 20 minutes.
Answer: B
When which digit in 467*15*23 is added 1, the product changes by least value?	Answers:
A) 1
B) 2
C) 6
D) 7
E) 5

Solution: let volume of cuboid = 8*9*10= 
8*9*10 = 720
720   which value(8/9/10) should be added 1 so the net result is least affected.   let add 1 to 8   vol= 9*9*10= 
9*9*10 = 810
810 (change from original= 810-720= 
810-720 = 90
90)   let add 1 to 9   vol:   8*10*10= 
  8*10*10 = 800
800 (change from original= 800-720= 
800-720 = 80
80)   let add 1 to 10   vol= 8*9*11= 
8*9*11 = 792
792 (change from original= 792-720= 
792-720 = 72
72)   so take away:   in order to have least effect always change the maximum value.   now in our example to have least effect on 467∗15∗23467∗15∗23   we need to keep 2 thing in mind   1)change the unit digit(Because if you change tens or hundred place then it will have larger effect that's common sense)   2)change the biggest number   so biggest number is 467 and unit digit of this 7.   ANSWER:7
Answer: D
A man got killed in his office. The suspects are Edison, Maxis, Jason, Janna, Sofia.
A calendar near the man has blood, written 6, 4, 9,
10, 11.
Who is the killer? Choices:	A) Jason	B) Janna	C) Sofia	D) Edison	E) Maxis

Solution: Jan:1   Feb:2   March: 3   April:4   ...   ...   June:6   and so on...j = june(6)   a = april(4)   and...   JasonNSWER:Jason
Answer: A
If |x+y|=|x-y|, then x*y must be equal to: Choose one:  A) -1  B) 1  C) 2  D) 0  E) -2

Solution: Solution 1: Distance perspective   |x-y| = |x+y| ==> The distance of x and y is equal to the distance of x and -y.   <=======(-y)=======0=======(y)======>   Only 0 is the value that has a distance equal to y and -y.   Solution 2:   |x-y| = |x+y| (square both)   x^2 -2xy + y^2 = x^2 + 2xy + y^2   4xy = 0   xy = 0   Answer: 0
Answer: D
If an article with marked price of $300 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay?	Select the correct option.
A) 243	B) 151	C) 230	D) 201	E) 171

Solution: discount=0.9*.75*.85=.57   so .57*300= 
.57*300 = 171
171   ANSW171R:171
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 most appropriate option:
A) 112
B) 177
C) 127
D) 150
E) 881

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:150
Answer: D
At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score D of team B? Choices:
A) 1)8	B) 2)10	C) 3)20	D) 4)40	E) 5)80

Solution: A to B = 3 : 4   So, on doubling we get 6 : 4   A to C = 3 : 5   So, on halving we get 1.5 : 5 or 3 : 10 or 6 : 20   So final ratio = 6 : 4 : 20.   If 20x = 40   4x = 8   Hence, answer is 1)8
Answer: A
If n > 0 , which of the following must be true?
I n^2 < 1
II	n - n^2 > 0
III	2n - 1 > 0
Select the correct option:
A) I only
B) II only
C) III only
D) I and II only
E) none

Solution: I. False for all values of n except 1   When n = 1 ; n^2 = 1   II. False for all values of n except 1   When n = 1 ; n - n^2 = 1 - 1= 
1 - 1 = 0
>0   III	True for all values of n   Hence the correct answer will be (III only)
Answer: C
x=2+2^(2/3)+2^(1/3), then what is the value of x^3-6x^2+6x? here X^Y indicates X to the power Y.	Pick.
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: Given that x = 2 + 2^(2/3) + 2^(1/3)   so x - 2 = 2^(2/3) + 2^(1/3)   or (x-2)^3 = [2^(2/3)+2^(1/3)]^3   or x^3 - 8 - 6x(x-2) = 2^2 + 2^1 + 3*[2^{(2/3)+(1/3)}[2^(2/3)+2^(1/3)   or x^3 - 8 - 6x^2 + 12x = 4 + 2 + 6(x-2)   or x^3 - 8 -6x^2 + 12x = 6 + 6x - 12   or x^3 - 6x^2 +6x = 2   2NSWER:2
Answer: A
A rectangular cube has a volume of 11 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices
Choose the correct choice
A) 24
B) 48
C) 64
D) 88
E) 100

Solution: Lets say the sides of the rectangular cube are x, y and z. Problem states volume is 11.   i.e,   x*y*z = 11.   If every side is increased twice as before. then new volume is   2x*2y*2z = 8*(x*y*z)  2 *2 *2= 
 2 *2 *2 = 8
8*(x*y*z)= 8*11= 
8*11 = 88
88.   Answer is 88
Answer: D
A certain roller coaster ride has fewer than 110 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If riders are let on only in groups of 6 all riders will be able to get on the roller coaster. Which of the following could be the number of people in the line?  Choose the correct choice from the following choices:
A) 7	B) 22	C) 52	D) 67	E) 72

Solution: Total number of riders = 5p + 2 or 6q.   The first number that fits in is 12. Numbers following will be 12 + multiple of 30 ( LCM of 5 and 6).   Therefore, the total number of riders will be 30k+12.   12, 42, 72, 102 are the only possibilities as the number of riders is fewer than 110.   Among the given options 72 is the answer.   ANSW72R:72
Answer: E
At what price must an article costing Rs.47.50 be marked in order that after deducting 8% from the list price. It may be sold at a profit of 25% on the cost price?	Choose the correct option:
A) 60.5	B) 69.5	C) 64.5	D) 62.5	E) 22.5

Solution: 64.5P = 47.50   SP = 47.50*(125/100)= 
47.50*(125/100) = 59.375
59.375   MP*(92/100)= 59.375   MP = 64.5   Answer:64.5
Answer: C
There are 6 different travelers who each have a choice of vacationing at one of 10 different destinations. What is the probability that all 6 travelers will end up vacationing at the same destination?
Choose the correct answer
A) 0.1	B) 0.001	C) 0.0002	D) 1.0e-05	E) 0.0001

Solution: Prob that traveler 1 will choose 1st place(any particular place) out 10 places = 1/10   Prob that traveler 2 will choose same place out 10 places = 1/10   ......   Total = 1/10 * ... 1/10 (6 times)   = 1/10^6   But this can happen for all of the 10 places.   So Prob = 10/(10^6) = 1/10^(6-1)   =0.00001   Answer - 1.0e-05
Answer: D
Two teams participating in a competition had to take a test in a given time. Team
B chose the easier test with 300 questions, and team A the difficult test with 10%less questions. Team A completed the test 3 hours before schedule while team B completed it 6 hours before schedule. If team B answered 7 questions more than
team A per hour, how many questions did team A answer per hour?
Pick
A) 16 B) 17 C) 18 D) 19 E) 20

Solution: If t hrs is normal time,   then   270/(t-3) + 7 = 300/(t-6)   so t = 18   so Qns done by team A per hour = 270/15= 
270/15 = 18
18 qns.   ANSWER:18
Answer: C
There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?
Choose the most appropriate option
A) 6	B) 21	C) 28	D) 7	E) 9

Solution: only A1 have to hand shake,so A1 can hand shake with remaining 6 person.   6NSWER:6
Answer: A
Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7380 km and comes back to the starting point. The total time taken by him is:	Select
A) 914.2 hours  B) 937.1 hours  C) 915 hours  D) 905 hours  E) 915 hours

Solution: Explanation:   Speed downstream = (16 + 2)= 
(16 + 2) = 18
18 kmph   Speed upstream= (16 - 2)= 
(16 - 2) = 14
14 kmph   Total time taken= 7380/18 + 7380/14 = 410 + 527.1= 
410 + 527.1 = 937.1
937.1 hours   Answer: Option 937.1 hours
Answer: B
Of the employees in a company, 30 % are female who have a master degree. If 50 % of the female employees do not have a master degree, what percent of the employees in the company are female?
Select:
A) 50%
B) 70%
C) 60%
D) 66%
E) 65%

Solution: Let E be total no. of employees and F be total no of female employees.   Question asked what is F/E X 100%?   No. of female employees with Masters = 0.3 x E (From the question)   No. of female employees without masters = 0.5 x F (From the question)   Therefore No. of female employees with masters = F - 0.5 F = 0.5 F   The 2 expressions equal each other therefore 0.5F = 0.3E; F/E = 0.3/0.5 = 60%   Ans: 60%
Answer: C
At a party, every two people shook hands once. How many people
attended the party if there were 66 handshakes? Options.
A) 12 B) 22 C) 33 D) 65 E) 67

Solution: If there are n people at the party, then each of the n people will shake hands   with n -1 other people. Since each handshake accounts for a handshake that each of two   people have made (i.e., since there are two people involved with each handshake), the total   number of handshakes the n people will make is n(n-1)=2. (Alternatively, the number   of handshakes is the number of ways of choosing 2 people from among n people, which is   -n   2 =n(n-1)=2.) Hence, we have n(n-1)=2 = 66 = 12 11=2, so n = 12.   correct answer 12
Answer: A
What is 982*982?  Pick one: A) 964,169 B) 964,219 C) 964,324 D) 975,019 E) 975,369

Solution: if you take a base of 1000 then 982 is 18 less than 1000   to get the product of 982 x 982 write like this   982- 18( as 18 less than base1000)   982- 18   now 18 x 18 = 324   and  982-18= 
 982-18 = 964
964   so 982 x 982= 964324 ... (bingo the answer is C . you can even have a shortcut ...... 18 x 18 = 324 ... only answer choice has last three digits as 324.. so no need to calculate 982-18 . after you get 18 x 18 you can straight way pick answer choice 964,324.
Answer: C
852.68 âˆ’ 4.0 + 108.98 = ? âˆ’ 2132.54  Answers: A) 6078.58 B) 6078.08 C) 6258.58 D) 6088.58 E) None

Solution: Option '6078.08'
Answer: B
The cost of 2 chairs and 3 tables is Rs.1400. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by? Choose the correct choice:  A) 228  B) 287  C) 277  D) 188  E) 200

Solution: 200xplanation:   2C + 3T = 1400 --- (1)   3C + 2T = 1200 --- (2)   Subtracting 2nd from 1st, we get   -C + T = 200 => T - C = 200   Answer:200
Answer: E
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet? Answers:	A) 11	B) 10	C) 88	D) 17	E) 22

Solution: D = 110 – 20 = 90   RS = 20 + 25= 
20 + 25 = 45
45   T= 90/45= 
90/45 = 2
2 hours   8 a.m. + 2= 10 a.m.   Answer: 10
Answer: B
What was the difference between the total monthly salary of Arun in all the years together and Suman's monthly income in the year 2007 ?	Choose the correct option.
A) 23
B) 33
C) 25
D) 26
E) 27

Solution: Answer:33
Answer: B
Positive integer n leaves a remainder of 4 after division by 6 and a remainder of 3 after division by 5. If n is greater than 30, what is the remainder that n leaves after division by 35?  Choose one
A) 3 B) 12 C) 18 D) 22 E) 28

Solution: The theory says:   if a # x is devided by y and leave the positive # r as the remainder then it can also leave negative # (r-y) as the remainder.   e.g:   9 when devided by 5 leves the remainder 4 : 9=5*1+4   it can also leave the remainder 4-5 = -1 : 9=5*2 -1   back to the original qtn:   n leaves a remainder of 4 after division by 6 and a remainder of 3 after division by 5   ==> n leaves a remainder of -2 (i.e. 4-6) after division by 6 and a remainder of -2 (i.e. 3-5) after division by 5   ==> n when devided by 5 and 6 leaves the same remainder -2.   what is n?   LCM (5,6)-2 = 30-2= 
30-2 = 28
28   CHECK: 28 when devided by 6 leaves the remainder 4 and when devided by 5 leaves the remainder 3   However, the qtn says n > 30   so what is the nex #, > 28, that can give the said remainders when devided by 6 and 5   nothing but 28 + (some multiple of 6 and 5) as thissome multiple of 6 and 5will not give any remainder when devided by 5 or 6 but 28 will give the required remainders.   hence n could be anything that is in the form 28 + (some multiple of 6 and 5)   observe thatsome multiple of 6 and 5is always a multiple of 30 as LCM (5,6)= 30.   hence when n (i.e. 28 + some multiple of 6 and 5) is devided by 30 gives the remainder 18.   18
Answer: C
Charlie, a painter, has 9 jars of paint: 4 are Red, 2 are yellow, and the rest are brown. Charlie will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no red paint 2) C2, if the paint contains 3 jars of brown paint. 3) J1, if the paint contains at least 2 jars of red paint 4) J2, if the paint contains exactly 1 jar of red paint What is the probability that the new colour will be a shade of J (J1 or J2)?	Select the correct option:
A) 21/37	B) 37/21	C) 37/42	D) 42/37	E) 74/42

Solution: the probability that it would be J1 or J2 is same as 1-()probability that it is 37/421 or 37/422   For 37/421-337/422(Brown)*237/421(Yellow)=3*2= 
3*2 = 6
6   For 37/422-337/423(all brown)=1   Total=937/423=84   1-7/84=77/84= 37/42   Answer : 37/42
Answer: C
A can do a piece of work in 28 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ? Choose the correct choice from the following options
A) 3 days  B) 5 days  C) 6 days  D) 7 days  E) 11 days

Solution: B's 9 day's work = 9 x (1/12) = 3/4   Remaining work = (1 - 3/4) = 1/4   1/4 work is done by A in = 28 x (1/4) = 7 days.   answer : 7 days
Answer: D
A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together? Choose the correct choice from the following answers:	A) 7/5	B) 2/7	C) 9	D) 1/5	E) 2

Solution: Explanation:   WC = 3:1   WT = 1:3   x 3x   1/x â€“ 1/3x = 1/10   x = 20/3   3/20 + 1/20 = 1/5 days.   Answer:1/5
Answer: D
John paid a sum of money for purchasing 20 pens, which he recovered in full when he sold 10 of them. What was his percentage of profit or loss per pen? Choose the most appropriate option:
A) 100%  B) 150%  C) 90%  D) 80%  E) 95%

Solution: A   100%   If the sum he paid whilst purchasing 20 pens = A,   Then the Cost Price of each pen = A/20.   Since the amount he got whilst selling 10 pens is also = A   Then the Selling Price of each pen = A/10.   Since Selling Price > Cost Price, he made a profit.   Profit per pen = Selling Price - Cost Price = A/10 -A/20= A/20.   Profit percentage per pen = Profit per pen / Cost per pen x 100 = (100%/20) / (100%/20) x 100 = 100%
Answer: A
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?	Choose the correct choice.
A) 27%
B) 25%
C) 21%
D) 85%
E) 24%

Solution: SP = CP + g   150 SP = 150 CP + 30 SP   120 SP = 150 CP   120 --- 30 CP   100 --- ? => 25%   Answer:25%
Answer: B
The compound interest earned on a sum for the second and the third years are $1400 and $1512 respectively. What is the rate of interest?  Choose the correct choice:  A) 5%  B) 6%  C) 7%  D) 8%  E) 9%

Solution: 1512 - 1400= 
1512 - 1400 = 112
112 is the rate of interest on $1400 for one year.   The rate of interest= (100 * 112) / (1400)= 
(100 * 112) / (1400) = 8
8%   The answer is 8%.
Answer: D
Which of the following inequalities is always true for any real number 'x' and 'y'?  Pick one.
A) |x-y| < |x| +|y| B) |x + y| > |y| + |x| C) |x + y| <= |x| + |y| D) |x - y| <= |x| - |y| E) |x - y| > |x| - |y|

Solution: The answer is (C). One of the fundamental properties of absolute value, which is subadditivity, essentially means that evaluating the function for the sum of two elements (numbers) always returns something less than or equal to the sum of the function's values at each element; therefore, |x + y| <= |x| + |y|
Answer: C
A man gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be:	Select:
A) 327
B) 140
C) 277
D) 178
E) 112

Solution: Let C.P. = Rs. x.   Then, S.P. = Rs. (12% of x) = Rs. 6x/5   New S.P. = 2 * 6x/5 = Rs. 12x/5   Profit = 12x/5 - x = Rs. 7x/5   Profit = 7x/5 * 1/x * 100 = 140%.\   Answer: 178
Answer: D
What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Answers.
A) 3:6	B) 3:9	C) 3:5	D) 3:1	E) 3:2

Solution: d = 3d d = d   a√2 = 3d a√2 = d   a = 3d/√2 a = d/√2 => 3:1   Answer: 3:1
Answer: D
If a committee of 3 people is to be selected from among 4 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?  Choose the correct choice from the following answers:
A) 20
B) 32
C) 50
D) 80
E) 120

Solution: Each couple can send only onerepresentativeto the committee. Let's see in how many ways we can choose 3 couples (as there should be 3 members) each to send onerepresentativeto the committee: 4C3=4.   But these 3 chosen couples can send two persons (either husband or wife): 2*2*2=2^3=8.   Total # of ways: 4C3*2^3=32.   Answer: 32.
Answer: B
When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country? Select.
A) 133 1/3 m  B) 150 m  C) 106 2/3 m  D) 166 2/3 m  E) 168 2/3 m

Solution: 5% - 2% = 3%   3% ---- 5   100% ---- ? 5  - 2= 
5  - 2 = 3
3%   3% ---- 5   100% ---- ?=> 166 2/3   ANSWER:166 2/3 m
Answer: D