MU-NLPC/Calc-aqua_rat huggingface dataset:
Pid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Pid have meant to type?  Answers: A) 10 B) 16 C) 21 D) 24 E) 27

Solution: Should be 21.   Pid intended to type a seven-digit number there are two possibilities for placing 2 3s .   case 1: two 3s were missed consecutively. i.e. he typed 33 and it came blank on screen.   -5-2-1-1-5- in this arrangement we can fit 33 in 6 ways . (Six dashes, each dash represent one possible place for placing 33)   case 2: two 3s are not together, i.e. they have one or more digits between them .   -5-2-1-1-5- , in this arrangement   if we place first 3 at first dash i.e. 35-2-1-1-5- then the other 3 can fit into 5 places.   if we place first 3 at second dash i.e. -532-1-1-5- then the other 3 can fit into 4 places.   if we place first 3 at third dash i.e. -5-231-1-5- then the other 3 can fit into 3 places.   if we place first 3 at fourth dash i.e. -5-2-131-5- then the other 3 can fit into 2 places.   if we place first 3 at Fifth dash i.e. -5-2-1-135- then the other 3 can fit into 1 place.   so total 15 ways.   case 2 + case 1 = 6+ 15= 
6+ 15 = 21
21 ways   Answer 21
Answer: C
In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?  Pick one: A) 6 B) 12 C) 18 D) 19 E) 22

Solution: In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys , then total no of boys = 18*4/3= 
18*4/3 = 24
24 boys.   the total number of boys (24)is two-thirds of the total number of students in the class, then total students= 24*3/2= 
24*3/2 = 36
36   no. of girls= 36-24= 
36-24 = 12
12   ANSWER:12
Answer: B
0.04 x 0.0162 is equal to: Choose the correct choice.
A) 6.48 x 10(power -4)  B) 6.48 x 10(power -3)  C) 9.48 x 10(power -4)  D) 5.48 x 10(power -4)  E) 6.08 x 10(power -4)

Solution: 4 x 162 = 648. Sum of decimal places = 6.   So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10(power -4)   6.48 x 10(power -4)nswer is 6.48 x 10(power -4).
Answer: A
The speed of a boat in still water is 80kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?  Choose one:
A) 22 kmph B) 40 kmph C) 60 kmph D) 15 kmph E) 23 kmph

Solution: Speed downstream = 80 + 20= 
80 + 20 = 100
100 kmph   Speed upstream= 80 - 20= 
80 - 20 = 60
60 kmph   Answer:60 kmph
Answer: C
At a certain supplier, a machine of type A costs $30,000 and a machine of type B costs $70,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?  Choose the correct choice from the following options
A) $10,000 B) $11,200 C) $12,000 D) $12,800 E) $13,200

Solution: Total Cost of 2 Machines of Type A   = 20% of (Cost of 2 machine A) + remainder + 40 % remainder   = 20% of 30000 + (30000 - 20% of 30000) + 40% of (40000 - 20% of 30000)   = 79200   Total Cost of 1 Machine of Type B   = 20% of (Cost of 1 machine B) + remainder + 40 % remainder   = 20% of 70000 + (70000 - 20% of 70000) + 40% of (50000 - 20% of 70000)   = 92400   Diff = 92400 - 79200= 
92400 - 79200 = 13_200
13200   Hence, $13,200.
Answer: E
What is the total number of integers between 20 and 70 that are divisible by 2? Choose one:
A) 19 B) 25 C) 24 D) 26 E) 20

Solution: 22, 24, 26, ..., 56,58   This is an equally spaced list; you can use the formula:   n = (largest - smallest) / ('space') + 1 = (70 - 22) / (2) + 1 = 48/2 + 1 = 24 + 1= 
24 + 1 = 25
25   Answer is 25
Answer: B
The second of two numbers is two less than three times the first. Find the numbers if there sum is
82.
Select.
A) 7-19	B) 8-20	C) 10-16	D) 15-9	E) 21-61

Solution: We are looking for two numbers.   #1 - x   #2 - 3x â€“ 2   The sum is 82. #1 + #2 = 82   Substituting x + 3x â€“ 2 = 82   4x â€“ 2 = 82   4x = 84   x = 21   The first number is 21, the second number is two less than three times 21 or 61.   correct answer 21-61
Answer: E
A room 4 m 47 cm long and 7m 77 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor. Choose the correct answer.
A) 38636	B) 38640	C) 38647	D) 38591	E) 38675

Solution: Explanation:   Area of the room = (447 x 777) cm2.   Size of largest square tile = H.C.F. of 447 cm and 777 cm = 3 cm.   Area of 1 tile = (3 x 3) cm2.   Number of tiles required =(447×777)/(3×3)=38591   Answer: Option 38591
Answer: D
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?	Choose the most appropriate option.
A) 16 B) 14 C) 15 D) 18 E) 13

Solution: A's 2 day's work= (1/20)*2=1/10   (A + B + C)'s 1 day's work =(1/20+1/30+1/60) = 6/60 =1/10   Work done in 3 days = (1/10+1/10) = 1/5   Now,	1/5 work is done in 3 days.   Whole work will be done in (3 x 5) = 15 days.   ANSWER:15
Answer: C
A certain number of donkeys and an equal number of men are going to a village. Half of the men are on their donkey's back while the remaining are walking along leading their donkeys. If the number of legs walking on the ground is 70. How many donkeys are there? Choose the correct choice from the following answers
A) 218
B) 277
C) 299
D) 267
E) 11

Solution: Answer:277
Answer: B
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?	Choose the correct choice
A) 33	B) 71	C) 96	D) 55	E) 77

Solution: I II III   120 125 100   125----------120   100-----------? => 96%   \Answer:96
Answer: C
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 7)%. In terms of x, how many species of bacteria will the group be able to model? Pick:
A) x*x – 5x
B) (x)*(107 – x)
C) (100)(105 – x)
D) (100)(95 – x)
E) (x-5)/100

Solution: Initial: (x/100)*10000 = 100x (bacterial species)   After reduce (x)*(107 – x)Y (x - 7)%, the percentage of bacterial species = 1 - (x - 7)% = 1 - (x - 7)/100 = (107 - x)/100   Note: Difference between reduce to[means: the remain] and reduce by[means: the remain = 1 -reduce by]   So, the number of bacterial species after reducing: 100x*(107 - x)/100 = (x)*(107 - x)   Ans is (x)*(107 – x).
Answer: B
In each of the following questions a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
2, 7, ?, 23, 34, 47	Choices.
A) 31
B) 14
C) 36
D) 31
E) 33

Solution: B   14   The given sequence is +5, +7, +9, ——   ie. 2+ 5 = 7, 7 + 7 = 14, 14 + 9 = 23
Answer: B
Mid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Mid have meant to type? Choose the correct option: A) 10 B) 16 C) 21 D) 24 E) 27

Solution: Should be 21.   Mid intended to type a seven-digit number there are two possibilities for placing 2 3s .   case 1: two 3s were missed consecutively. i.e. he typed 33 and it came blank on screen.   -5-2-1-1-5- in this arrangement we can fit 33 in 6 ways . (Six dashes, each dash represent one possible place for placing 33)   case 2: two 3s are not together, i.e. they have one or more digits between them .   -5-2-1-1-5- , in this arrangement   if we place first 3 at first dash i.e. 35-2-1-1-5- then the other 3 can fit into 5 places.   if we place first 3 at second dash i.e. -532-1-1-5- then the other 3 can fit into 4 places.   if we place first 3 at third dash i.e. -5-231-1-5- then the other 3 can fit into 3 places.   if we place first 3 at fourth dash i.e. -5-2-131-5- then the other 3 can fit into 2 places.   if we place first 3 at Fifth dash i.e. -5-2-1-135- then the other 3 can fit into 1 place.   so total 15 ways.   case 2 + case 1 = 6+ 15= 
6+ 15 = 21
21 ways   Answer 21
Answer: C
The workforce of Company Samsung is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers? Choices.
A) 180
B) 170
C) 160
D) 150
E) 145

Solution: let x be the total worker then 0.6x =female worker and 0.4x is male worker then 20 male worker added   06x/(0.4x +20) = 50/100 or 60x = 50*( 0.4x+100) = 20x+ 5000 or 40x = 5000 , x = 125   total worker = 125+20= 
125+20 = 145
145   145
Answer: E
A computer was sold at a loss of 20%. If it was sold for Rs.3200 more, there would have been a gain of 12%. What is the cost price?	Choose the correct answer
A) Rs.12000	B) Rs. 8000	C) Rs.10000	D) Rs. 20000	E) Rs. 11000

Solution: 80%   112%   --------   32% ---- 3200   100% ---- ? => Rs.10000   Answer:Rs.10000
Answer: C
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?	Choose the correct choice from the following answers
A) 20 B) 22 C) 24 D) 26 E) 28

Solution: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 138 + 2* 131   a + b + c = √400 = 20   20
Answer: A
Given two fair dice, what is the probability W that the sum of their numbers is 4 if exactly one die shows a 3?  Choose the correct answer:
A) a) 2/11	B) b) 1/18	C) c) 3/11	D) d) 2/39	E) e) 1/5

Solution: If exactly one die shows 3, there are 10 such combinations (given that we have 2 fair dice).   1:3, 2:3, 4:3, 5:3, 6:3,   3:1, 3:2, 3:4, 3:5, 3:6   The sum of numbers would be 4 for two events: 1:3, 3:1.the probability W that the sum of their numbers is 4 if exactly one die shows a 3   2/11 would be the answer if 'at least one of the die shows a 3'.a) 2/11
Answer: A
If a is a positive integer, which of the following could NOT be the square of a? Options
A) 5,008,644 B) 5,004,169 C) 4,999,696 D) 4,995,225 E) 4,990,752

Solution: A number ending with 2 can never be a perfect square.   Units digit of a perfect square must be:   1,4,9,6,5   Answer 4,990,752)
Answer: E
If a tire rotates at 400 revolutions per minute when the car is traveling 96km/h, what is the circumference of the tire? Select the correct option
A) 2	B) 1	C) 4	D) 3	E) 5

Solution: 400 rev / minute = 400 * 60 rev / 60 minutes   = 24,000 rev / hour   24,000 * 4 = 96,000 m : 4 is the circumference   4 = 4 meters   correct answer 4
Answer: C
An design manager has 10patterns of chairs & 7patterns of tables. In how many ways can he make a pair of table & chair?
Choose the correct option.
A) 70	B) 40	C) 80	D) 90	E) 100

Solution: He has has ten patterns of chairs and eight patterns of tables   Hence, 70 chair can be arranged in 10 ways and   70 table can be arranged in 7 ways   Hence one chair and one table can be arranged in 10 x 7 ways = 70 ways   70
Answer: A
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year? Choose the correct choice from the following answers:  A) 3630  B) 2879  C) 289  D) 279  E) 2928

Solution: 6300:4200:10500   3:2:5   3/10 * 12100= 
3/10 * 12100 = 3_630
3630   3630nswer:3630
Answer: A
Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Tuesday, what was the expected day when both the brothers were to return home and when did Rohit Return? Pick:
A) Wednesday, Sunday
B) Thursday, Monday
C) Friday, Tuesday
D) Monday, Friday
E) none

Solution: Rajat returned on Tuesday -i.e. 3 days earlier   so actual day to return home is Friday.   Rohit returned after days so Tuesday.   ANSWER:Friday, Tuesday
Answer: C
The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 36 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Answers
A) 106.25  B) 105.5  C) 105.75  D) 106  E) 105.0

Solution: Rate of flow of water in second hour = 36 gallons per hour   Rate of flow of water in first hour = 36/(3/2)= 
36/(3/2) = 24
24 gallons per hour   Rate of flow of water in third hour= (125/100)* 36 = (5/4) * 36= 
(5/4) * 36 = 45
45 gallons per hour   Number of gallons of water that flowed through the pipe during the entire 3 hours= 24+36+45= 
24+36+45 = 105
105 gallons   Answer 105.0
Answer: E
How many seconds will a 700 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?	Choose the correct choice from the following answers:
A) 48
B) 36
C) 42
D) 11
E) 18

Solution: Explanation:   Here distance d = 700 mts   speed s = 63 - 3= 
63 - 3 = 60
60 kmph= 60 x 5/18 m/s   time t = = 42 sec.   Answer: 42
Answer: C
Suppose five circles, each 4 inches in diameter, are cut from a rectangular strip of paper 12 inches
long. If the least amount of paper is to be wasted, what is the width of the paper strip?
a=sqrt(3)  Pick.
A) 5
B) 4 +2a
C) 8
D) 4(1+ a)
E) not enough information

Solution: Also if we dont go by 30:60:90 rule, we can arrive at the length of by pythagoras theorem.   (AC)^2 + (BC)^2 = AB^2   (AC)^2 + 2^2 = 4^2   AC = 2 root b.   so the width of paper = 2 + 2 + 2 root 3 --> 4 + 2 root 3.   which is 4 +2a.
Answer: B
In how many ways the letters of the word RAIMBON be arranged?
Select
A) 4540  B) 4740  C) 5040  D) 6432  E) 7794

Solution: Total ways of arranging the letters = 7! = 5040 ways.   5040)
Answer: C
A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.165. Find the unknown rate of two towels?	Choose the correct choice:	A) A)400	B) B)450	C) C)500	D) D)550	E) E)600

Solution: 10 * 150 = 1650   3 * 100 + 5 * 150= 
3 * 100 + 5 * 150 = 1_050
1050   1650 – 1050= 600   600
Answer: E
Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 80 ps per meter is?  Select:
A) 287
B) 369
C) 125
D) 200
E) 361

Solution: 3x * 2x = 3750 => x = 25   2(75 + 50) = 250 m   250 * 0.80   = Rs.200   Answer:200
Answer: D
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 13 units? Choose the correct choice from the following answers:
A) 140 sq.units
B) 170 sq.units
C) 190 sq.units
D) 940 sq.units
E) 182 sq.units

Solution: 182 sq.unitsxplanation:   Given that the area of the square = 1225 sq.units   => Side of square = √1225 = 35 units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 10 units   Area of the rectangle = lb = 14 * 13= 
14 * 13 = 182
182 sq.units   Answer: Option 182 sq.units
Answer: E
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?  Options
A) 78 2/11%	B) 18 2/11%	C) 88 2/11%	D) 58 2/11%	E) 68 2/11%

Solution: Explanation:   13 CP = 11 SP   11 --- 2 CP   100 --- ? =>18 2/11%   Answer:18 2/11%
Answer: B
The ages of Charlie and Vaibhav are in the proportion of 3 : 5. After 9 years, the proportion of their ages will be 3 : 4. Then the current age of Vaibhav is:
Pick
A) 15 years
B) 16 years
C) 135 years
D) 21 years
E) 18 years

Solution: 15 years   15 years   Charlie’s age = 315 years and   Vaibhav’s age = 515 years   { (315 years + 9)/(515 years + 9) }=3/4   => 4 (315 years + 9) = 3 (515 years + 9)   => 15 years = 3   Therefore, Vaibhav’s age = 15 years.
Answer: A
A tank is 25 m long, 12 m wide and 6 m deep. What is the cost of plastering its walls and bottom at the rate of 75 paise per sq.m?
Choose the correct option:	A) 558	B) 502	C) 516	D) 612	E) 700

Solution: TOT558L SURF558CE S = 2LW + 2LH + 2WH   =(25 * 12) + (2 * 25 * 6 ) + ( 2 * 12 * 6 )   = 300 + 300 + 144= 
300 + 300 + 144 = 744
744 M2   THEREFORE COST OF PL558STERING= 744 * 75 = 5800 P558ISE = 558   558NSWER 558
Answer: A
Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?  Answers:
A) 56	B) 44	C) 26	D) 48	E) 49

Solution: 56   56   This is an alternating multiplication and subtracting series: First, multiply by 2 and then subtract 8.
Answer: A
If a is a digit in the number (a5,608 + 584)/88 = an integer, what is the value of a?  Choose the correct choice: A) 2 B) 1 C) 3 D) 7 E) 9

Solution: (a5,608 + 584)/88 = a6,192/88   Factors of 88 = (8)(11)   Divisible by 8: if the last 3 digits of the number are divisible by 8.   192/8= 
192/8 = 24
24=> So, we want divisible by 11.   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.   a619-2 => a61-7 => a5-4= 
5-4 = 1
> a1=> 11/11.= 
11/11. = 1
1.   Answer: 1
Answer: B
Determine the equation for the line parallel to r ≡ x + 2y − 2= 0 that passes through the point A = (1, 3).	Choose the correct choice from the following options
A) x + 2y = 0  B) 2y − 7= 0  C) x + 2y − 7= 0  D) x − 7= 0  E) x - 2y + 7= 0

Solution: the equation for the line parallel to r ≡ x + 2y − 2= 0 is   x + 2y + K= 0   1 + 2• 3 + k = 0   k = −7   x + 2y − 7= 0   ANSWER x + 2y − 7= 0 x + 2y − 7= 0
Answer: C
In the sequence S, each term after the first is twice the previous term. If the first term of sequence S is 3, what is the sum of the 14th term in sequence S?	Select the correct option:
A) 3(2^13)
B) 9(2^15)
C) 21(2^14)
D) 9(2^14)
E) 21(2^13)

Solution: The terms in the sequence can be shown as   a(n) = 2* a(n-1)   So, the sequence will look like: 3, 2*3, (2^2) *3,...   3(2^13)nd the nth term will be given as 2^(n-1) *3   Therefore, a(14) = (2^13)*3,   3(2^13)nswer : 3(2^13)
Answer: A
David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?  Answers:
A) 19 B) 28 C) 30 D) 37 E) 35

Solution: Explanation:   Suppose their paths cross after x minutes.   Then, 11 + 57x = 51 - 63x 120x = 40   x =	1/3   Number of floors covered by David in (1/3) min. = (1/3x 57	)=19.   So, their paths cross at (11 +19) i.e., 30th floor.   ANSWER IS 30
Answer: C
Q-2: How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 3?  Choose the correct choice from the following.
A) 9 B) 10 C) 11 D) 12 E) 14

Solution: CONCEPT: A number will be divisible by 3 if sum of all the digits of the number is divisible by 3   Here the Possible sum of the two distinct digits can be 3, 6, 9 and 12 only in order to satisfy the given condition   If sum of Digits = 3, No. = 12, 21 --- 2 Cases   If sum of Digits = 6, No. = 15, 24, 42, 51 --- 4 Cases   If sum of Digits = 9, No. = 27, 36, 45, 54, 63, 72 --- 6 Cases   If sum of Digits = 12, No. = 57, 75 --- 2 Cases   Total Cases = 2+4+6+2= 
2+4+6+2 = 14
14 cases   Answer: option 14
Answer: E
If 15 men can build a wall of forty two metres long in 5 days, what length of a similar wall can be built by 25 men in 4 days	Choose the correct choice from the following options:  A) 48 metres  B) 56 metres  C) 60 metres  D) 62 metres  E) None of these

Solution: Explanation :   Solution: Let the required length be x metres.   More men, more length built (Direct proportion)   Less days, less length built (Direct proportion)   men 15 : 25   days 5 : 4   .'.(15*5*x) = (25*4*42)   x = 56 metres.   Answer : 56 metres
Answer: B
A company makes a profit equal to 25% of its sales. The profit is shared equally among the 4 owners of the company. If the company generates sales of $5,000,000, how much money does each one of the owners get? Choose the most appropriate option.
A) $ 112,500
B) $ 212,500
C) $ 312,500
D) $ 412,500
E) $ 512,500

Solution: The profit made on sales of $5,000,000 is given by   25% * $5,000,000 = $ 1,250,000   The profit made by each one of the 4 owners is given by   $ 1,250,000 / 4 = $ 312,500   correct answer $ 312,500
Answer: C
A jar contains only red, yellow, and orange marbles. If there are 3 red, 6 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen? Select the correct option:
A) 1/60	B) 1/45	C) 2/45	D) 3/22	E) 5/22

Solution: I started by finding the 2 probabilities, without calculation, like this:   P(YYR)   P(YRY)   P(RYY)   I calculated the first one and ended in 1/22. I looked at the answer choices at this point and saw answer D: 3/22.   This helped me realise that for the 3 possible orderings the probabbility is the same. So, it should be (1/22)*(6), which indeed is 6/22.   5/22
Answer: E
Bag contain 10 back and 20 white balls, One ball is drawn at random. What is the probability that ball is white
Pick:
A) 1  B) 2/3  C) 1/3  D) 4/3  E) 5/3

Solution: Explanation:   Total cases = 10 + 20= 
10 + 20 = 30
30   Favourable cases= 20   So probability = 20/30 = 2/3   Answer: Option 2/3
Answer: B
f n = 3^8 - 2^8, which of the following is not a factor of n?  Choose the correct choice from the following options
A) 5  B) 65  C) 13  D) 97  E) 35

Solution: = (3^4 -2^4) (3^4+2^4)   number is not divisible by 35   =97*13*5   35
Answer: E
If k^3 is divisible by 60, what is the least possible value of integer k?	Choose the correct choice from the following choices:  A) 12  B) 30  C) 60  D) 90  E) 120

Solution: 60 = 2^2*3*5   Therefore k must include at least  2 * 3 * 5= 
 2 * 3 * 5 = 30
30.   The answer is 30.
Answer: B
Denominator of a number is 4 less than the numerator. If 6 is added to the numerator, it becomes 3 times the denominator. Find the denominator.
Pick
A) 1 B) 3 C) 5 D) 7 E) 9

Solution: Let the Numerator be X and Denominator be Y. Then   =>X=Y+4 and 6+X=3*Y   =>6+Y+4=3*Y   =>2Y=10=>Y=5   Option 5
Answer: C
If 0.2 of a number is equal to 0.08 of another number, the ratio of the numbers is :
Choose the correct option:
A) 2 :3
B) 3 :4
C) 2 : 5
D) 20 : 3
E) 30:7

Solution: 0.2A = 0.08B   -> A/B = 0.08/0.20 = 8/20 = 2/5   :. A : B = 2 : 5   ANSWER:2 : 5
Answer: C
A cloth merchant has announced 25% rebate in prices. If one needs to have a rebate of Rs.40, then how many shirts, cash costing Rs.32, he should purchase ? Choose the correct choice:
A) 6  B) 5  C) 10  D) 7  E) 8

Solution: Explanation:   Suppose the number of shirts = x.   Then, rebate = [25/100×32x]=8x   8x=40 or x = 5.   Correct Option : 5
Answer: B
A ranch has both horses and ponies. Exactly 5/6 of the ponies have horseshoes, and exactly 2/3 of the ponies with horseshoes are from Iceland. If there are 4 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch?
Choose the most appropriate option: A) 18 B) 21 C) 38 D) 40 E) 57

Solution: 5/6*P have horseshoes, so P is a multiple of 6.   2/3*5/6*P = 5/9*P are Icelandic ponies with horseshoes, so P is a multiple of 9.   The minimum value of P is 18. Then H = P+4 = 22.   The minimum number of horses and ponies is 40.   The answer is 40.
Answer: D
Henry sold an item for Rs.7200/- and incurred a loss of 20%. At what price should he have sold the item to have gained a profit of 20%? Choose one
A) 10600
B) 10800
C) 11000
D) 11200
E) 11400

Solution: Explanation:   20% loss means SP = 80% of CP   :. CP = Rs.7200x100/80 = Rs.9000.   The SP for a gain of 20% = 9000+20% of 9000 = 9000+1800= 
9000+1800 = 10_800
Rs10800.   Answer: Option 10800
Answer: B