MU-NLPC/Calc-aqua_rat huggingface dataset:
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle? Pick
A) 1: 96  B) 1: 99  C) 1: 94  D) 1: 92  E) 1: 91

Solution: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.   (4x)(3x) = 6912   12x2 = 6912   x2 = 576 = 4 * 144 = 22 * 122 (x > 0)   => x = 2 * 12= 
2 * 12 = 24
24   Ratio of the breadth and the areas= 3x : 12x2 = 1 : 4x = 1: 96.   1: 96nswer: 1: 96
Answer: A
A father in his will left all his money to his children in the following manner:
$1000 to the first born and 1/10 of what then remains, then
$2000 to the second born and 1/10 of what then remains, then
$3000 to the third born and 1/10 of what then remains, and so on.
When this was done each child had the same amount. How many children were there?
Choose the correct answer:
A) 9	B) 10	C) 11	D) 12	E) 13

Solution: Let x be the original amount.   Let y be the amount each child gets.   The first child got y = 1000+(x-1000)/10.   The second child got y = 2000+(x-2000-y)/10.   Here, we have two equations with two unknowns. This is enough to solve for x and y.   Using the substitution method,   1000+(x-1000)/10 = 2000+(x-2000-(1000+(x-1000)/10))/10   1000+x/10-100 = 2000+x/10-200-(100+(x/10-100)/10)   1000+x/10-100 = 2000+x/10-200-100-x/100+10   x/100 = 1000-200+10   x/100 = 810   x = 81,000   The amount each child gets can be calculated this way:   y = 1000 + (x-1000)/10 = 1000 + (81000 - 1000)/10= 
1000 + (81000 - 1000)/10 = 9_000
9000   The number of children is the original amount of money divided by the amount of money each child gets. That's 81,000 divided by 9,000, which is 9. So there are nine children.   9nswer 9
Answer: A
Calculate how many days it will take for 5 boys to paint a 30 m long fence if 2 boys can paint a 20 m long fence in 3 days,	Choose the correct option.
A) 6.80 days  B) 4.80 days  C) 3.80 days  D) 2 days  E) 1.80 days

Solution: The length of wall painted by one boy in one day = 20 / 2 * 1/3 = 3.33 m   No. of days required to paint 50 m cloth by 8 boys = 30/ 5 *1/ 3.33 = 1.80 days.   1.80 days
Answer: E
If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players? Choose the correct option.
A) 213
B) 249
C) 364
D) 389
E) 400

Solution: A particular players is never chosen, it means that 11 players are selected out of 14 players.   => Required number of ways = 1436411   = 14!/11!x3! = 364   364
Answer: C
The Ghaziabad-Hapur-Meerut EMU and the Meerut-Hapur-Ghaziabad EMU start at the same time from Ghaziabad and Meerut and proceed towards each other at 16 km/hr and 21 km/hr respectively. When they meet, it is found that one train has travelled 60 km more than the other. The distance between two stations is: Options:
A) 445 km	B) 444 km	C) 400 km	D) 524 km	E) None of these

Solution: Explanation :   The two trains start simultaneously. Let they meet after a time ‘t’.   The train that has covered 60 km more must be the faster of the two.   Hence,   =>60=(21–16)×t.   =>t=12 hours.   Since they are traveling towards each other, total distance is the sum of the distances travelled by the two trains individually.   Total distance = 16×12+21×12 = 444 Km.   Answer : 444 km
Answer: B
If 80 lamps can be lighted 5 hours per day for 10 days for Rs. 21.25,then the number of lamps which can be lighted 4 hours daily for 30days for Rs. 76.50, is?  Choose the correct choice from the following answers.
A) 100 B) 110 C) 120 D) 130 E) None of these

Solution: Explanation :   (Hrs/Day 4: 5) : (Money 21.25 :76.50) : (Days 30:10) : : 80 : x4 * 21.25 * 30 * x = 5 * 76.50 * 10 * 80 so x = 120   Answer : 120
Answer: C
What should be added to 4329 so that it may become a perfect square?  Answers
A) 24  B) 25  C) 26  D) 27  E) 28

Solution: 66x66=4356   4356-4329= 
4356-4329 = 27
27   If added to 27 get perfect square   answer=27
Answer: D
If anangletis defined as 1 percent of 1 degree, then how many anglets are there in one half circle?
Choose the correct choice
A) 0.36	B) 3.6	C) 360	D) 18,000	E) 36,000

Solution: 1 degree * 1/100 = 1 anglet   So 1 degree = 100 anglets   => 180 degrees = 18,000 anglets   Answer - 18,000
Answer: D
The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is?  Choose the correct choice from the following answers:
A) 186 B) 278 C) 119 D) 278 E) 272

Solution: Number of words which can be formed   = 5! - 1 = 120 - 1= 
120 - 1 = 119
119.   Answer:119
Answer: C
If 6 spiders make 6 webs in 6 days, then 1 spider will make 1 web in how many days?  Choose one.
A) 7
B) 6
C) 5
D) 4
E) 3

Solution: Let the required number days be x.   Less spiders, More days (Indirect Proportion)   Less webs, Less days (Direct Proportion)   spiders 1:6   Webs 6:1   1 x 6 x x = 6 x 1 x 6   => x= 6   Answer is 6
Answer: B
An astronomer noted that a grouping of red giant stars had an average solar mass of 8 M each, and a grouping of white dwarf stars had an average solar mass of 1.5 M each. If the astronomer calculated the total solar mass of both groupings to be 49 M, what total number of red giant stars and white dwarf stars did the astronomer note? Select: A) 10 B) 11 C) 12 D) 13 E) 14

Solution: We can determine quickly that total number should range between 49/8 <= N <=49/1.5 , so ans should be between 6 and 33.   Now solving the expression 8A+1.5B =49   decreasing 49 in multiple of 8 and checking divisibility of that number by 1.5. this way we get   2 red giants, 22 white dwarfs we get 49, but   2 + 22= 
  2 + 22 = 24
24 and 24 is not an option.   Next we get 5 red giants and 6 white dwarfs to get 49, 5*8 + 6*1.5= 49   Hence total number is  5 + 6= 
 5 + 6 = 11
11   Ans 11
Answer: B
A train is travelling at 48 kmph. It crosses another train having half of its length, travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in
45 seconds. What is the length of the platform?  Choose the most appropriate option:
A) 400 m
B) 500 m
C) 600 m
D) 550 m
E) 700 m

Solution: speed of I train = 48kmph   length of I train = 2x m   speed of sec train = 42 kmph   length of seconf train = x m   dist = (2x+x) = 3x m   time = 12 sec   = 90 * 5/18= 
90 * 5/18 = 25
25m/s   x=100   length of first train = 2x = 200 m   time taken = 45 sec   speed of first train = 48 kmph = 48 * 5/18 = 40/3 m/s   length of the platform = y metre   200 + y = 45 * 45/3 = 600   y = 400   400 mNSWER 400 m
Answer: A
The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?  Select the correct option:	A) 1/48	B) 1/42	C) 1/40	D) 1/41	E) 1/43

Solution: 2/3 * 6/7 * 1/3 * 1/8 = 1/42   Answer: 1/42
Answer: B
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choose the correct option
A) 45
B) 60
C) 75
D) 90
E) 120

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 480   16x = 480   x = 30.   Hence, total number of notes = 3x = 90.   Answer: Option 90
Answer: D
In an election, candidate A got 60% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate. Pick.
A) 285600	B) 340000	C) 347000	D) 356000	E) 357000

Solution: Total number of invalid votes = 15 % of 560000   = 15/100 × 560000   = 8400000/100= 
8400000/100 = 84_000
84000   Total number of valid votes 560000 – 84000= 476000   Percentage of votes polled in favour of candidate 285600 = 60 %   Therefore, the number of valid votes polled in favour of candidate 285600 = 60 % of 476000   = 60/100 × 476000   = 28560000/100= 
28560000/100 = 285_600
285600   285600)
Answer: A
A can run 288 metre in 28 seconds and B in 32 seconds. By what distance A beat B?	Select
A) 38 metre	B) 28 metre	C) 23 metre	D) 15 metre	E) 36 metre

Solution: Clearly, A beats B by 4 seconds   Now find out how much B will run in these 4 seconds   Speed of B = Distance/Time taken by B=288/32= 
288/32 = 9
9 m/s   Distance covered by B in 4 seconds= Speed Ã— time =9Ã—4=36 metre   i.e., A beat B by 36 metre   Answer is 36 metre
Answer: E
In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 12 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Choose the correct choice from the following choices.
A) 12/7
B) 4/1
C) 2/3
D) 3/4
E) 3/2

Solution: Given that Milk/Water=4x/x and 4x+x=45 --> x=9.   Thus Milk=4x=36 liters and Water=x=9 liters.   New ratio = 36/(9+12) = 36/21 = 12/7.   12/7nswer: 12/7.
Answer: A
The banker’s discount on Rs.1600 at 15% per annum is the same as true discount on Rs.1680 for the same time and at the same rate. The time is
Pick one:	A) 3 months	B) 4 months	C) 6 months	D) 8 months	E) 10 months

Solution: Solution   S.I on Rs. 1600 = T.D on Rs. 1680.   Rs.1600 is the P.W of Rs.1680.   Rs.80 is S.I on Rs.1600 at 15%.   Time	= (100x80 / 600x15)   = 1/3 year   = 4 months.   Answer 4 months
Answer: B
The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 16 and 17. The larger of the two numbers is:  Select:
A) 338
B) 278
C) 322
D) 231
E) 391

Solution: Clearly, the numbers are (23 * 16) and (23 * 17). Larger number   = (23 * 17)= 
(23 * 17) = 391
391.   Answer: 391
Answer: E
Seed mixture X is 40% ryegrass and 60% bluegrass by weight; seed mixture Y is 24% ryegrass and 75% fescue. If a mixture of X and Y contains 36% ryegrass, what percent of the weight of the mixture is from mixture X? Pick one:
A) 25% B) 40% C) 60% D) 75% E) 90%

Solution: 36% is 12%-points above 25% and 4%-points below 40%.   Thus the ratio of mixture Y to mixture X is 1:3.   The percent of mixture X is 3/4 = 75%.   The answer is 75%.
Answer: D
The sale price sarees listed for Rs.350 after successive discount is 20% and 5% is?
Pick one: A) 266 B) 278 C) 342 D) 787 E) 191

Solution: 350*(80/100)*(95/100)= 
350*(80/100)*(95/100) = 266
266   266nswer: 266
Answer: A
Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to
work and 20 seconds per block to ride his bicycle to work. If it takes him exactly
9 minutes more to walk to work than to ride his bicycle, then x equals Choose one.
A) 4  B) 7  C) 10  D) 15  E) 13.5

Solution: The best way would be...   Per km, he takes 40 secs extra if he walks   So he will take 9 mins or 9*60 secs in 9*60/40= 
9*60/40 = 27/2 = around 13.5
13.5 km   ANSW13.5R:13.5
Answer: E
The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 45, then how long is the base of isosceles triangle?
Select.
A) 5 units  B) 10 units  C) 15 units  D) 20 units  E) 25 units

Solution: The base of the isosceles triangle is 45-20-20= 
45-20-20 = 5
5 units   The answer is 5 units.
Answer: A
Arnold and Danny are two twin brothers that are celebrating their birthday. The product of their ages today is smaller by 5 from the product of their ages a year from today. What is their age today?
Answers:	A) 2.	B) 4.	C) 5.	D) 7.	E) 9.

Solution: ad = (a+1) (d+1) -5   0= a+d-4   a+d = 4   a=d (as they are twin brothers)   a=d=2   2. is the answer
Answer: A
The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After
6 years, what will be son's age?  Pick:
A) 23 years
B) 22 years
C) 21 years
D) 20 years
E) 18 years

Solution: Let the present age of the son = x   Then present age of the father = (60 - x)   six years ago father's age was 5 times the age of the son   (60-x)-6 = 5(x-6)   x = 84/6= 
84/6 = 14
14   son's age after 6 years   x+6= 14 + 6= 
14 + 6 = 20
20   ANSWER 20 years
Answer: D
The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.18000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
Choose the correct choice from the following
A) 20  B) 21  C) 42  D) 23  E) 24

Solution: Solution   Let the toatl number of workers be x.   Then 8000x=(18000 x 7) + 6000 (x -7)   x= 42   Answer 42
Answer: C
There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?  Choose the most appropriate option:
A) 2/21  B) 3/17  C) 4/26  D) 3/19  E) 8/21

Solution: Total number of balls = (8 + 7 + 6)= 
(8 + 7 + 6) = 21
21   Let E= event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.   Therefore, n(E) = 8.   P(8/21) = 8/21.
Answer: E
A group of people were given 2 puzzles. 75% people solved puzzle X and 89% people solved puzzle Y. What is the maximum and minimum percentage of people who could have solved both the puzzles?  Choose the correct answer:
A) 11%, 0%  B) 49%, 33%  C) 68%, 57%  D) 75%, 68%  E) 89%, 79%

Solution: To solve this question, we don't need any formulas. Just read the question carefully. If 75% of the people solved puzzle X and 89% solved puzzle Y, then maximum % that can solve both correctly can only be 75%. From the given options, only 75%, 68% looks good   Answer 75%, 68%
Answer: D
In how many different number of ways a Committee of 3 person of can be selected from 3boys and 3girls such that at least 1 girl is included in the committe
Choose the correct choice from the following options:
A) 15 B) 17 C) 16 D) 20 E) 19

Solution: 1G 2B 2G 1B 3G   = (3C1*3C2)+(3C2*3C1)+3C3   = (3*3)+(3*3)+1   = 9+9+1= 
9+9+1 = 19
19   Total 3M 3W   6C3=20   3C3=1   At least one girl = total - with out girl   At least one girl = 20-1= 
20-1 = 19
19   19)
Answer: E
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 1000 resolutions?  Choose the correct choice from the following options:	A) 1077 m	B) 804 m	C) 978 m	D) 1048 m	E) 878V

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 1000 resolutions.   = 1000 * 2 * 22/7 * 22.4 = 104800 cm   = 1408 m   Answer: 1048 m
Answer: D
One side of a rectangular field is 15 m and one of its diagonal is 18 m. Find the area of the field.  Pick.
A) 100 B) 120 C) 150 D) 148.5 E) None

Solution: Solution   Other side = √(18)2 - (15)2   = √324 - 225= 
324 - 225 = 99
√99= 9.9 m.   ∴ Area = (15 x 9.9)m2 = 148.5 m2.   Answer 148.5
Answer: D
What is the maximum area that can be enclosed by a wire 44cm long ?
Answers
A) 77
B) 154
C) 308
D) 318
E) None of these

Solution: Perimeter of circle=2*22/7*r=44cm   From this r=7   then area of circle=22/7*r^2=154   ANSWER:154
Answer: B
A father is now three times as old as his son. Three years back, he was four times as old as his son. The age of the son (in years) is  Pick
A) A)12  B) B)9  C) C)18  D) D)20  E) E)22

Solution: Explanation:   Let son's age be x years. Then, father's age = (3x) years.   Three years ago, father's age = (3x - 3) years and son's age = (x - 3) years.   So, 3x - 3 = 4 (x - 3)=> 3x - 3 = 4x - 12=> x = 9.   Answer: 9
Answer: B
The angles of a triangle are in the ratio 3: 4 : 2. Find the measurement of the 3 angles of triangle.
Choose the correct choice from the following answers
A) 40°	B) 25°	C) 30°	D) 75°	E) 90°

Solution: If the ratio of the three angles is 3:4:2, then the measures of these angles can be written as 3x, 4x and 2x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence   3x + 4x + 2x = 180   Solve for x   9x = 180   x =20   The measures of the three angles are   3x =3 x20=60°   4x = 4 × 20= 80°   2x = 2 × 20 = 40°   40°
Answer: A
How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately f ollowed by an even number? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
Choose the correct choice:
A) 1  B) 2  C) 3 three  D) 4  E) More than four

Solution: A is followed by B means : A comes first,B comes next   A preceded by B means : B comes first, A comes next   The sets which satisfy the condition is: 5 3 8   1 3 8   7 3 4   ANSWER:3 three
Answer: C
On a summer camp, 25% of the campers paid $120 each, 35% paid $60 each and the rest paid $65 each. What percentage of the total amount paid came from the campers who paid $60?  Choices: A) 18% B) 27.27% C) 26% D) 33.3% E) 37.5%

Solution: let the total no of campers be 100   total amount = (25*120)+(35*60)+(40*65) = 3000+2100+2600= 
3000+2100+2600 = 7_700
$7700   required percentage= (21/77)*100=27.27%   27.27%
Answer: B
If there are 26 laborers in a crew, and on a certain day, 10 were present. Calculate the percentage that showed up for work? (round to the nearest tenth). Choose one:	A) 39.5%	B) 38.5%	C) 36.5%	D) 37.5%	E) 30.5%

Solution: 10/26*100=38.46   38.5%   correct answer 38.5%
Answer: B
Peter got married 0.8 decades ago. His current age is (6/5) times his age at the time of his marriage. Peter’s brother was ten years younger to him at the time of his marriage. What is the age of Peter’s Brother?[0.8 decades = 8 years]
Choices.
A) 38 years  B) 34 years  C) 28 years  D) 43 years  E) 41 years

Solution: A   38 years   Let Peter’s current age is A years.   Then, his age at the time of marriage = (A – 8) years   A = (6/5)(A – 8)   5A = 6A – 48   A = 48   Peter’s sister’s age at the time of his marriage = (A – 8) – 10   = (A – 18) = 30 years.   Peter’s sister’s current age = (30 + 8)= 
(30 + 8) = 38
38 years.
Answer: A
If an item that originally sold for A dollars was marked up by x percent and then discounted by y percent, which of the following expressions represents the final price of the item?  Choose one:
A) (A+ Ax/100) - Y/100 ( A +Ax/100)
B) (10,000z + 100z(y – x) – xyz)/10,000
C) (100z(x – y) – xyz)/10000
D) (100z(y – x) – xyz)/10000
E) 10000 /(x – y)

Solution: value of item =(A+ Ax/100) - Y/100 ( A +Ax/100) ..marked up by x% = (A+ Ax/100) - Y/100 ( A +Ax/100)x/100   total value = (A+ Ax/100) - Y/100 ( A +Ax/100) +ax/100 .discounted by Y% on Total Y/100 * ( (A+ Ax/100) - Y/100 ( A +Ax/100)+(A+ Ax/100) - Y/100 ( A +Ax/100)x/100)   Final price =((A+ Ax/100) - Y/100 ( A +Ax/100)+ (A+ Ax/100) - Y/100 ( A +Ax/100)x/100) - Y/100 ( (A+ Ax/100) - Y/100 ( A +Ax/100) +(A+ Ax/100) - Y/100 ( A +Ax/100)x/100)   (A+ Ax/100) - Y/100 ( A +Ax/100)
Answer: A
The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 15 and 41 inclusive. Select.
A) 351 B) 392 C) 410 D) 424 E) 450

Solution: We're dealing with a sequence of CONSECUTIVE ODD INTEGERS: 15 to 41, inclusive. We're asked for the SUM of this group.   1) Start with the sum of the smallest and the biggest:   15 + 41= 
  15 + 41 = 56
56   2) Now look at the 'next smallest' and the 'next biggest': 17 + 39= 
17 + 39 = 56
56   Now we have proof that there is no middle term. We have 7 bunches of 56.   7(56)= 392   392
Answer: B
A car takes 6 hours to cover a distance of 450 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Choose the correct option.
A) 60	B) 50	C) 40	D) 70	E) 65

Solution: Time = 6   Distance = 450   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 450/9= 
450/9 = 50
50 Kmph   Answer 50.
Answer: B
If a and b are digits, and the number a,11b is evenly divisible by 88, what are the values of a and b?  Choose the correct choice from the following answers:
A) a = b = 9	B) a = b = 7	C) a = b = 5	D) a = b = 2	E) a = b = 1

Solution: a,11b, divisible by 88.   Factors of 88 = (8)(11)   Divisible by 8: if the last 3 digits of the number are divisible by 8.   11b/8 => 112/8= 
112/8 = 14
14=> b = 2   Divisibe by 11: subtract the last digit from the number, over and over again, as necessary. If the remaining number is divisible by 11, the original number is divisible by 11.   a11-2 => a09 => 209/11= 
209/11 = 19
19.   So a= 2.   Answer: a = b = 2
Answer: D
Fom the integer n, if n*n*n is odd, then what is true from below options?  Choose one.
A) n is odd and n*n is even
B) n*n is odd
C) n is even
D) n is odd
E) n*n is odd

Solution: n is odd and n*n is even   Option n is odd and n*n is even
Answer: A
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?	Pick:
A) 62.5  B) 62.3  C) 62.7  D) 62.2  E) 64.5

Solution: CP = 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: E
The sum of three consecutive even numbers multiples of 3 is 72. what is the largest number ? Choose the correct choice from the following answers.
A) 21	B) 24	C) 27	D) 36	E) None

Solution: Solution   let the number be x and x + 2.   Then, (x + 2)2 - x2 = 84 ⇔ 4 x + 4 = 84 ⇔ 4 x = 80 ⇔ x = 20.   ∴ Required sum = x + (x + 2) = 2 x + 2 + (  + 2)= 
+ (  + 2) = 2
2 x + 2= 42.   Answer 27
Answer: C
The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Choose the correct choice:
A) 1: 8  B) 1: 6  C) 1: 9  D) 1: 3  E) 1: 2

Solution: r1: r2 = 1: 3   Πr12: Πr22   r12: r22 = 1: 9   Answer:1: 9
Answer: C
Seller selling an apple for Rs.17, a Seller loses 1/6th of what it costs him. The CP of the apple is?  Pick: A) 10 B) 12 C) 18 D) 19 E) 20

Solution: SP=17Loss=18P18Loss=18P−SP=18P−17⇒18P18=18P−17⇒17 18P18=17⇒18P18=1⇒18P=18   18
Answer: C
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 25%?	Choose the correct option: A) 20% B) 26% C) 42% D) 27% E) 12.5%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 =75   2/3 SP1 = 75   SP1 = 112.50   100 --- 12.5 => 12.5%   Answer: 12.5%
Answer: E
A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 1/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 30 vehicles that are not Speedsters, how many Speedster convertibles are there?	Pick one
A) 13	B) 18	C) 12	D) 15	E) 17

Solution: Total Vehicle = 1/3 of speedster + 2/3 of others.   Speedster convertibles = 1/3 total vehicle * 4 /5   Given : 2/3 constitutes 30 Vehicles. hence 1/3 constitutes 15   Speedster convertibls = 15 * 4/5= 
15 * 4/5 = 12
12   12
Answer: C
A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choose the correct choice from the following answers:  A) 6  B) 5  C) 3  D) 4  E) 9

Solution: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.   Given x + y = 18 --- (1)   and x - y = 10 --- (2)   From (1) & (2) 2x = 28 => x = 14, y = 4.   Answer: 4
Answer: D
The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.
Choose the correct choice from the following choices:	A) 197	B) 198	C) 199	D) 200	E) 201

Solution: 197ccording to the division process of whole numbers, N can be written, using multiplication, as follows   N = quotient * divisor + remainder = 15 * 13 + 2= 
15 * 13 + 2 = 197
197   correct answer 197
Answer: A
Richard began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Richard?  Choose the most appropriate option:
A) 35 B) 55 C) 39 D) 40 E) 60

Solution: After 30 mins, Richard travels 15 miles ahead Carla.   x = mph Carla need to catch up Richard in 3 hours. --> relative speed of them = x-30   Carla needs to catch up 15 miles in 3 hours --> (x−30)3=15--> x=35   35nswer: 35
Answer: A
An bus covers a certain distance at aspeed of 210 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of?	Choose the correct answer
A) 560 km/h	B) 567 km/h	C) 779 km/h	D) 723 km/h	E) 630 km/h

Solution: Distance = (210 x 5) = 1050 km.   Speed = Distance/Time   Speed = 1050 /(5/3) km/hr. [We can write 1 hours as 5/3 hours]   Required speed = 1050 x 3/5 km/hr = 630 km/hr.   630 km/h
Answer: E
what is the probability of getting atmost one head when Two unbiased coin are tossed ?  Choose the correct option: A) 3/4 B) 3/2 C) 4/3 D) 1/2 E) 2/6

Solution: Here S={HH,HT,TH,TT}   Let Ee=event of getting one head   E={TT,HT,TH}   P(E)=n(E)/n(S)=3/4   Option 3/4
Answer: A