MU-NLPC/Calc-aqua_rat huggingface dataset:
What is the difference between the C.I. on Rs. 7000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?	Choose the correct choice from the following answers:
A) s.2.04
B) s.2.08
C) s.2.02
D) s.2.86
E) s.2.42

Solution: C.I. when interest is compounded yearly   = [7000 * (1 + 4/100) * (1 + (1/2 * 4)/100]   = 7000 * 26/25 * 51/50 = Rs. 7425.6   C.I. when interest is compounded half-yearly   = [7000 * (1 + 2/100)2]   = (7000 * 51/50 * 51/50 * 51/50)   = Rs. 7428.46 Difference   = (7428.46 - 7425.6)   = Rs.2.86.   Answer: s.2.86
Answer: D
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m^3) is:
Choose the correct choice from the following
A) 2130  B) 3620  C) 4512  D) 5620  E) 5120

Solution: Clearly, l = (48 - 16)= 
(48 - 16) = 32
32 m,   b= (36 -16)= 
(36 -16) = 20
20 m,   h= 8 m.   Volume of the box = (32 x 20 x 8) m3 = 5120 m^3.   ANSW5120R 5120
Answer: E
Weights of two friends Ram and Shyam are in the ratio 3:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?  Choose the correct choice from the following choices:
A) 18% B) 10% C) 21% D) 16% E) None

Solution: Solution:   given ratio of Ram and Shayam's weight = 3:5   Hence, (x-15)/(15-10) = 3/5   Or, x = 18%.   18%nswer: Option 18%
Answer: A
The average age of 20 students in a class is 5years. If teacher's age is also included then average increases 1year then find the teacher's age?	Options
A) 28 B) 24 C) 20 D) 22 E) 18

Solution: Total age of 50 students = 20*5= 
20*5 = 100
100   Total age of 51 persons= 20*6= 
20*6 = 120
120   Age of teacher= 120-100= 
120-100 = 20
20years   Answer is 20
Answer: C
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 108. What was the number he chose? Options
A) 123
B) 267
C) 277
D) 267
E) 120

Solution: Let xx be the number he chose, then   2â‹…xâˆ’138=108   x=123   123nswer:123
Answer: A
140 college students were asked in a survey if they preferred Windows or Mac brand computers. 80 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 50 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?  Choose the correct option:  A) 25  B) 10  C) 50  D) 60  E) 75

Solution: 140 = 80(Mac) + x(Window) + 50(both) => x=10   ANSWER:10
Answer: B
If n is a positive integer such that
n!/(n-2)! = 342, find n.	Choose one:
A) 17  B) 18  C) 19  D) 20  E) 21

Solution: We write n! = n*(n-1)(n-2!)   Therefore   n!/(n-2)! = n(n-1)*(n-2)!/(n-2)! = n(n-1).   --> n(n-1) = 342   --> n^2 -n - 342 = 0   --> n^2- 19n +18n -342 = 0   --> n(n-19) +18(n -19) = 0   --> (n-19)(n+18) = 0   Therefore n -19 = 0; n +18 = 0;   (i.e) n =19 ; n = -18   We want positive integer. So, n=19.   ANSWER:19
Answer: C
The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 19 positive perfect squares?  Pick one:	A) 1,010	B) 1,164	C) 1,240	D) 1,316	E) 2,470

Solution: First we need to find the constant 'c'. The easiest way to find this is for the sum of the first two perfect squares for 1 and 2 = 1 and 4 respectively.   Hence LHS = 1+4 and plug n=2 for RHS and simplify to get c = 1/2.   Plug values of n = 19 and c = 1/2 into the equation and simplify to get the answer 2470.   Option 2,470.
Answer: E
A merchant marks his goods up by 40% and then offers a discount of 20% on the marked price. What % profit does the merchant make after the discount?
Choose the correct choice
A) 12% B) 10% C) 21% D) 15% E) 17%

Solution: Let the price be 100.   The price becomes 140 after a 40% markup.   Now a discount of 20% on 140.   Profit=112-100   12%   answer 12%
Answer: A
The radius of a cone is 49 m, slant height is 35 m. Find the curved surface area?
Select.
A) 5160 B) 5390 C) 6430 D) 6720 E) 7280

Solution: Cone curved surface area = Ï€rl   22/7 Ã— 49 Ã— 35 = 154 Ã— 35 = 5390 m(power2)   Answer is 5390.
Answer: B
Amit Kumar invested an amount of 15,000 at compound interest rate of 10 pcpa for a period of two years. What amount will he receive at the end of two years?
Choose the correct answer
A) 18,000 B) 18,500 C) 17,000 D) 17,500 E) None of these

Solution: Amount = 15000 (1 + 10⁄100)2   = 15000 × 11⁄10 × 11⁄10 = 18150   Answer None of these
Answer: E
At a certain amateur bands rock show the ratio of freaks to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling "rock on!", what are the chances that the next person who yells "rock on!" will be a geek?
Choose the correct choice:
A) 1/6
B) 1/3
C) 1/2
D) 2/3
E) 5/6

Solution: the ratio of freaks to nerds to geeks is 1:2:3.   So, Assuming the number as x,2x and 3x for freaks , nerds and geeks respc.   Probability of next person being Geek = 3x/total   or 3x/6x= 1/2. Hence , 1/2.
Answer: C
The product of n^2 consecutive positive integers is always divisible by	Choose the correct choice:
A) n^2 -1 B) (n+1)! C) 2n +1 D) n^2 + 1 E) n!

Solution: Plug in some vlues and check -   Product of first 2 number is 2*1   Product of first 3 number is 3*2*1   Product of first 4 number is 4*3*2*1   Product of first 5 number is 5*4*3*2*1   So, The product of first n natural numbers is always divisible by n! , answer will be (n^2 -1)
Answer: A
If a boat goes 5km upstream in 25 minutes and the speed of the stream is 7 kmph, then the speed of the boat in still water is ?  Select the correct option:
A) 18  B) 19  C) 20  D) 21  E) 22

Solution: Rate upsteram =(5/25*60)= 
(5/25*60) = 12
12kmph.   speed of the stream=7kmph let speed in still water be xkm/hr. then speed upstream=(x-7)km/hr. x-7=12==>x=19km/hr Answer(19)
Answer: B
How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6, 7 and 8 such that the numbers are divisible by 9?
Choose the most appropriate option.
A) 2	B) 4	C) 5	D) 6	E) 8

Solution: CONCEPT: A number will be divisible by 9 if sum of all the digits of the number is divisible by 9   Here the Possible sum of the two distinct digits can be 9 only in order to satisfy the given condition   If sum of Digits = 9, No. = 18,27, 36, 45, 54, 63, 72 ,81--- 8 Cases   Answer: option 8
Answer: E
Write 450,000,000,000 in scientific notation. Options
A) 400.50 * 10 11  B) 400.5 * 10 11  C) 40.5 * 10 11  D) 4.5 * 10 11  E) 450.00 * 10 11

Solution: a * 10 n , where a is a real number such that 1 * |a| < 10 and n is an integer.   450,000,000,000 = 4.5 * 100,000,000,000 = 4.5 * 10 11**   correct answer 4.5 * 10 11
Answer: D
The Racing magic takes 60 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?  Choose one:
A) 3
B) 6
C) 9
D) 12
E) 15

Solution: Time taken by Racing magic to make one circle = 60 seconds   Time taken byCharging bullto make one circle = 60 mins / 40 = 1.5 mins = 90 seconds   LCM of 90 and 60 seconds = 180 seconds   Time taken for them to meet at the starting point for the second time = 180 *2= 
180 *2 = 360
360 seconds= 6 mins   Answer 6
Answer: B
Shekhar started a business investing Rs.25,000 in 1999.In 2000,he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000.In 2001,Shekhar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000.What will be Rajeev’s share in the profit of Rs.2,10,000 earned at the end of 3 years from the start of the business in 1999 ?
Answers
A) Rs.45,000
B) Rs.50,000
C) Rs.70,000
D) Rs.75,000
E) None of these

Solution: Solution   Shekhar : Rajeev : Jatin   = (25000x12+35000x12+45000x12) :(35000x24) : (35000x12)   = 1260000 : 840000 : 420000 = 3 : 2 : 1.   ∴ Rajeev’s share = Rs.(21000x2/6) = Rs. 70,000. Answer Rs.70,000
Answer: C
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table? Choose the correct answer
A) Rs.6727  B) Rs.6735  C) Rs.6721  D) Rs.6725  E) Rs.6729

Solution: CP = SP * (100/(100 + profit%))   = 8339(100/124)   = Rs.6725.   Answer: Rs.6725
Answer: D
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 2500 resolutions?  Pick one: A) 1187 m B) 1704 m C) 2179 m D) 3520 m E) 4297 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 2500 resolutions.   = 2500 * 2 * 22/7 * 22.4= 
2500 * 2 * 22/7 * 22.4 = 352_000
352000 cm= 3520 m   Answer:3520 m
Answer: D
The present population of a town is 500. Population increase rate is 10% p.a. Find the population of town before 2 years? Pick one:	A) 512	B) 615	C) 810	D) 413	E) 123

Solution: P = 500   R = 10%   Required population of town = P/(1 + R/100)^T   = 500/(1 + 10/100)^2   = 500/(11/10)^2   = 413(approximately)   Answer is 413
Answer: D
70, 75, 80, 85, 90, 105, 105, 130, 130, 130
The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. If the standard devastation of the 10 running times is 23.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?  Choose the correct option.
A) one B) two C) three D) four E) five

Solution: The most time consuming part in this question is to define the mean. Under exam pressure and time pressure it is very easy to make mistake.   it is easier to group numbers:  130*3= 
 130*3 = 390
390; 105*2=210; 75+85=160; 70+80=150; 90;   Next stage combine results, again using more convenient ways to calculate: 390+210= 
390+210 = 600
600; 160+150=310; 90. 600+310+90=1000. Since there are 10 numbers the mean is 100. Questions asks to find the quantity of numbers one SD BELOW the mean, which is 100-23,4=76,6. There are only two numbers below 76,6. The answer is two
Answer: B
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
Choose the correct answer:
A) 12 years	B) 14 years	C) 18 years	D) 20 years	E) 22 years

Solution: Let the present ages of son and father be x and (60 -x) years respectively.   Then, (60 - x) - 6 = 5(x - 6)   54 - x = 5x - 30   6x = 84   x = 14.   Son's age after 6 years = (x+ 6) = 20 years.. Answer: Option 20 years
Answer: D
In the third grade of Windblown School there are 108 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests?  Choose the correct choice from the following choices
A) 0.	B) 6.	C) 8.	D) 10	E) 12

Solution: One third of them failed the math test = 1/3 of 108 = 36. Passed in math test = 82.   And 1/6 failed that literature test = 18.   It is a possible scenario that these 18 (failed in literature) were the ones who passed the math test. So in this case, no one failed in both.   Hence 0..
Answer: A
There are 4 more women than men on Centerville's board of education. If there are 14 members on the board, how many are women?	Choices.
A) 3
B) 4
C) 6
D) 7
E) 9

Solution: Given: M=W-4 so, W+(W-4)=14 --> W=9.   Answer: 9.
Answer: E
One urn contains two pieces of candy{one green and one red. A second urn
contains four pieces of candy{one green and three red. For each urn, each piece of candy is
equally likely of being picked. You pick a piece of candy from each urn and eat the two chosen
candies.
If you eat exactly one piece of green candy, you draw a second piece of candy from the urn
still containing a green piece of candy. You now eat the candy you just chose. What is the
probability that you ate two pieces of green candy?	Options.
A) 1/8
B) 1/4
C) 3/8
D) 1/2
E) 5/8

Solution: There are four possibilities for the rst round:   You pick a green piece of candy from each urn. (Probability 1/2*1/4=1/8)   You pick the green piece of candy from the rst urn and the red piece of candy from the   second. (Probability 1/2 * 3/4 = 3/8 :) You have a 1/3 chance of eating the green piece of candy   on the second round (since three pieces of candy remain in the second urn, and one of   them is green.You pick the red piece of candy from the rst urn and the green piece of candy from the   second. (Probability 1/2 *1/4 = 1/8 :) There is only one more piece of candy in the rst urn,   so you eat it on the second round.   You pick a red piece of candy from each urn. (Probability 1/2 *3/4 = 3/8 .)   Your chance of eating two pieces of green candy is   1/8   +   3/8   1/3   +   1/8   =   3/8   correct answer 3/8
Answer: C
An athlete runs 200 meters in 24 seconds. His speed is ?	Options:	A) 10 km/hr	B) 17 k/hr	C) 27 km/hr	D) 30 km/hr	E) None of these

Solution: ExplanaƟon:   Speed=30 km/hristanceTime=20024m/sec=253m/sec253   ∗   185km/hr=30km/hr   Answer: 30 km/hr
Answer: D
In an election between the two candidates ,The candidates who gets 60% of votes polled is wined by 280 votes majority. What is the total number of votes polled?  Pick
A) 1400	B) 1500	C) 1550	D) 1600	E) 1650

Solution: Note : majority (20 %) = difference in votes polled to win (60 %) & defeated candidates (40 %)   20 % = 60 % - 40 %   20% -----> 280 (20×14 = 280 )   100% -----> 1400 (100×14 = 1400)   1400
Answer: A
Two numbers are in the ratio 3 : 4. If their L.C.M. is 48. what is sum of the numbers?
Select:  A) 28  B) 56  C) 76  D) 84  E) 85

Solution: Explanation:   Let the numbers be 3x and 4x   LCM of 3x and 4x = 12x (Since LCM of 3 and 4 is 12. Hence LCM of 3x and 4x is 12x)   Given that LCM of 3x and 4x is 48   => 12x = 48   => x = 48/12= 
48/12 = 4
4   Sum of the numbers= 3x + 4x   = 7x   3  + 4= 
3  + 4 = 7
7x= 7 x 4 = 28   28nswer: Option 28
Answer: A
How many options are there for a code consisting of 2 even digits followed by 2 odd digits?
Choose the correct choice from the following options
A) 4^5  B) 5^4  C) 5^5  D) 4^4  E) 10^4

Solution: Even Numbers = 5 digits { 0 , 2 , 4 , 6 , 8 }   Odd Numbers = 5 digits { 1 , 3 , 5 , 7 , 9 }   EVEN EVEN ODD ODD   No of ways is 5*5*5*5 = 5^4   Hence, correct, answer must be (5^4) 5^4
Answer: B
Evaluate the expression
[x : (y - 3)] ⋅ (-4) - [xy + (-3)] : -1 = ?
when x = -5 and y = -2	Options.
A) 3
B) 4
C) 5
D) 6
E) None

Solution: Solution:   Evaluate the expression   [x : (y - 3)] ⋅ (-4) - [xy + (-3)] : -1 =   [(-5) : (-2 - 3)] ⋅ (-4) - [(-5) ⋅ (-2) + (-3)] : -1 =   [(-5) : (-5)] ⋅ (-4) - [10 + (-3)] : -1 =   (+1) ⋅ (-4) - (+7) : -1 = -4 - (-7) = -4 + 7= 
-4 + 7 = 3
3   3nswer 3
Answer: A
If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ? Choose the correct choice from the following answers
A) 20%  B) 25%  C) 18%  D) 30%  E) none of these

Solution: Here, l = 7 and m = 28   Therefore, first number = l/m x 100% of second number = 7/28 x 100% of second number = 25% of second number   ANSWER:25%
Answer: B
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?	Choose the correct choice from the following answers
A) 11 sec
B) 15 sec
C) 19 sec
D) 12 seconds
E) 20 sec

Solution: 12 seconds   12 seconds = 250 m + 250 m = 500 m   RS = 80 + 70= 
80 + 70 = 150
150 * 5/18= 125/3   T = 500 * 3/125= 
500 * 3/125 = 12
12 sec
Answer: D
If y = 35p, and p is prime, what is the greatest common factor of y and 14p, in terms of p?  Select
A) p  B) 2p  C) 5p  D) 7p  E) p^2

Solution: y = 35p = 5*7*p   14p = 2*7*p   The greatest common factor of 35p and 14p is the product of all the common prime factors, using the lower power of repeated factors. The greatest common factor is 7*p = 7p   The answer is 7p.
Answer: D
A man can do a piece of work in 6days, but with the help of his son, he can finish it in 3days. In what time can the son do it alone? Choose the correct choice from the following:
A) 5
B) 5 1/2
C) 7 1/2
D) 6
E) 9 1/2

Solution: Son's 1day work = 1/3 - 1/6 = 1/6   Son alone can do the work in 6 days = 6 days   Answer is 6
Answer: D
Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 40, which of the following MUST be true?
I. The maximum possible range of the set is greater than 33.
II. The median can never be an even number.
III. If y = 37, the average of the set will be greater than the median.
Choose the most appropriate option.
A) I only  B) I and II only  C) I and III only  D) III only  E) I, II, and III

Solution: Solution   Key Data from the Question Stem   Set S has 6 elements.   The elements of set S are distinct.   x and y are prime numbers. Because 2 is already an element in S, both x and y have to be odd.   0 < x < 40 and 0 < y < 40   I. The maximum possible range of the set is greater than 33   The key word in this entire statement is maximum. We have to determine whether the maximum value possible for the range exceeds 33.   We know x and y are prime numbers. The largest prime number less than 40 is 37.   If either x or y is 37, the largest number in the set will be 37 and the smallest number is 2.   Therefore, the maximum range of the set will be   37 - 2= 
  37 - 2 = 35
35. It is greater than 33.   Statement I is true. So, eliminate choices that donot contain I. Eliminate choice D   II. The median can never be an even number   There are 6 numbers in the set. Therefore, the median is the arithmetic mean of the 3rd and the 4th term when the numbers are written in ascending or descending order.   The elements are {2, 4, 6, 8, x, y}, where x and y are prime numbers.   If x and y take 3 and 5 as values, the median is 4.5   If x= 3, y = 7 or greater, the median is 5   If x = 5, y = 7 or greater, the median is 5.5   If x = 7, y = 11 or greater, the median is 6.5   If x = 11 or greater and y = 13 or greater, the median is 7.   It is quite clear that the median is either an odd number or is not an interger. So, the median can never be an even integer.   Statement II is true. Eliminate choices that do not contain II. Eliminate choices A and C as well.   III. If y = 37, the average of the set will be greater than the median   If y = 37, the set will be {2, 4, 6, 8, x, 37}, where x is a prime number greater than 2 and less than 37.   The average will be 57+x657+x6 = 9.5 + x6x6   If x = 3, median = 5 and average = 10. Average > median.   If x = 5, median = 5.5 and average = 10.33. Average > median   If x = 7, median = 6.5 and average = 10.66. Average > medain   If x = 11 or greater, the median = 7. Average will be definitely greater than 10. So, Average > Median.   It is true that the average is greater than the median if y = 37.   Statement III is also true.   Statements I, II, and III are true. Choice I, II, and III
Answer: E
A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 30 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choose the correct choice from the following choices
A) 5/12  B) 0.3489  C) 1/2  D) 3/4  E) 5/6

Solution: C.   It is a circle inscribed in a square.   Square side=30---> square(table) area=30^2   Circle diameter=20---> Circle area=PiR^2=100Pi (where Pi=~3.14)   covered fraction=100*3.14/30*30= 
100*3.14/30*30 = 314
~314/30*30=3.14/9=0.3489   0.3489
Answer: B
If apples are bought at the rate of 30 for Rs.100. How many apples must be sold for Rs.100 so as to gain 20%?  Choose the correct choice from the following choices
A) 28  B) 25  C) 20  D) 22  E) 23

Solution: SP for 30 apples to gain 20%= 100*120/100= 
100*120/100 = 120
120   so 30 apples must be sold for rs 120   rs 120= 30 apples   rs 100= (30/120)*100= 
(30/120)*100 = 25
25 apple   ANSWER:25
Answer: B
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length? Options
A) 13.1 sec
B) 12.1 sec
C) 22.1 sec
D) 32.1 sec
E) 13.2 sec

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 132= 
110 + 132 = 242
242 m.   Required time= 242/20= 
242/20 = 121/10 = around 12.1
12.1 sec.   Answer:12.1 sec
Answer: B
Nicky and Cristina are running a 300 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Pick one:
A) 40  B) 50  C) 30  D) 60  E) 45

Solution: The distance traveled by both of them is the same at the time of overtaking.   3(t+12) = 5t   t=18.   Cristina will catch up Nicky in 18 seconds.   So in 18 seconds Cristina would cover = 18*5= 
18*5 = 90
90 meter.   Now Time taken my Nicky to cover 90 meter= 90/3= 
90/3 = 30
30 Seconds.   30
Answer: C
Ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of (a - b)/2 ?
Choose the correct choice from the following answers
A) 1	B) 10	C) 19	D) 5	E) 2

Solution: Answer is 10   Yes! there is really a faster way to solve it.   Sum of consecutive odd or even integers = (no. of odd or even ints) * (first int + last int) / 2   Here A = sum of even ints from 2 to 20, inclusive   number of even ints = 10,   first int + last int = 2+20= 
2+20 = 22
22   A= 10*22 / 2= 
10*22 / 2 = 110
110   B= sum of odd ints from 1 to 19, inclusive   number of odd ints = 10,   first int + last int = 1+19= 
1+19 = 20
20   A= 10*20 / 2= 
10*20 / 2 = 100
100   (A-B)/2= 110 - 100= 
110 - 100 = 10
10/2= 
10/2 = 5
5   Ans :5
Answer: D
Replace X with the appropriate number in
4 , 5 , 14 , 15 , 24 , 25 , X
Pick one:
A) 30  B) 29  C) 34  D) 21  E) 20

Solution: 34   list of consecutive numbers that has an 'f' in the spelling
Answer: C
What should come in place of the question mark (?) in the following equation?
10000+ 566 = 45+ ?  Pick.
A) 73689	B) 35876	C) 45943	D) 10521	E) 35786

Solution: 10000+ 566 = 45+ ?   10000+ 566 – 45= 10521   Answer 10521
Answer: D
By selling 15 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Answers:
A) 8
B) 7
C) 6
D) 4
E) 10

Solution: 80% --- 15   120% --- ?     80/120 * 15= 
  80/120 * 15 = 10
10   Answer:10
Answer: E
A train 500 m long can cross an electric pole in 10 sec and then find the speed of the train?
Choose the correct choice from the following answers
A) 140 B) 150 C) 160 D) 170 E) 180

Solution: Length = Speed * time   Speed = L/T   S = 500/10= 
500/10 = 50
50 M/Sec   Speed= 50*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 180 Kmph   Answer:180
Answer: E
A sum at simple interests at 13 ½ % per annum amounts to Rs.2502.50 after 4 years find the sum. Choose the correct choice from the following options
A) 1525	B) 1625	C) 1725	D) 1825	E) 1925

Solution: let the sum be x=P   then sum(P)+(P*R*T)/100=2502.50   therefore   x+(x*4*13.5)/100=2502.50   x=1625   ANSWER:1625
Answer: B
Chang Li has pet cockroaches that multiply at the same rate every week.
The first week he had 5, the next week he had 10, the second week he had 20, and the fourth week he had 80. How many did he have on week 3? Choose the correct choice: A) 30 B) 25 C) 40 D) 60 E) 50

Solution: The answer is 40) 40, because the cockroaches are doubling in size every week- half of 80 is 40, and 20 doubled is 40.
Answer: C
If the positive integer x is a multiple of 5 and the positive integer y is a multiple of 6, then xy must be a multiple of which of the following?
I. 8
II. 12
III 18 Options.
A) II only  B) I and II only  C) I and III only  D) II and III only  E) I, II and III

Solution: Ans C.   From question x/4 is an integer.   x/4 = 2*2*q/4 ---> where q is the integer   Also y/6 = p => y/6 = 2*3*p/6   So, xy =  2*2*2= 
 2*2*2 = 8
8 and   2*3*2= 
  2*3*2 = 12
12 satisfy   I and III only
Answer: C