MU-NLPC/Calc-aqua_rat huggingface dataset:
When positive integer N is divided by positive integer J, the remainder is 15. If N/J = 134.08, what is value of J?	Choose one
A) 22  B) 56  C) 78  D) 112  E) 187.5

Solution: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder   So, Dividend/Divisor = Quotient + Remainder/Divisor   Given that N/J = 134.08   Here 134 is the quotient.   Given that Remainder = 15   So, 134.08 = 134 + 15/J   So, J = 187.5 ANS 187.5
Answer: E
Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 3 minutes A is turned off. After how much more time will the cistern be filled? Answers.
A) 8 1/8 B) 8 1/9 C) 8 1/4 D) 8 1/1 E) 8 1/5

Solution: 3/12 + (3 + x)/15 = 1   x = 8 1/4   Answer:8 1/4
Answer: C
Four horses are tethered at four corners of a square plot of side 63 metres so that they just cannot reach one another. The area left ungrazed is: Choices:
A) 675.5m2
B) 780.6m2
C) 785.8m2
D) 850.5m2
E) 950.5m2

Solution: Required area= (63*63 – 4*1/4 *22/7 * 63/2 * 63/2)= 850.5m2 ANSWER:850.5m2
Answer: D
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 5 inches wide on each side, the total area would have been (M + 180) square inches. What is the perimeter of the photograph, in inches? Choose the most appropriate option:
A) 21	B) 36	C) 38	D) 40	E) 42

Solution: Let Length and Breadth of photograph be L and B respectively.   Perimeter is given by 2*(L+b) -----(1)   21ccording to the question:   (L+2)(B+2) = m ----(2)   and   (L+10)(B+10) = m + 180 ---------> (L+10)(B+10) - 180 = m ------(3)   Equating (2) and (3)   (L+2)(B+2) = (L+10)(B+10) - 180   LB + 2L + 2B + 4 = LB + 10L + 10B + 100 -180   Simplify   8L + 8B = 84 ------> 2(L+B) = 21 (Check eq (1))   21nswer is 21
Answer: A
If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE.
Choose the most appropriate option
A) 110 B) 114 C) 115 D) 119 E) 120

Solution: Total no'of arrangements 5P5 = 5! = 120   no'of arrangements start with AE = 1 × 6 = 6   no'of arrangements which do not start with AE = 120 - 6= 
120 - 6 = 114
114.   114
Answer: B
Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 23,the first number is : Answers
A) 22 B) 21 C) 77 D) 99 E) 26

Solution: 26xplanation:   Let the numbers be a,b,c,d   Given, a + b + c = 48, b + c + d = 45   Now, d = 23   thus, b + c + 23 = 45 ⇒ b + c = 22   Putting the value of b + c in a + b + c = 48   a + 22 = 48 ⇒ a = 26   Answer: 26
Answer: E
A man can row upstream at 8kmph and downstream at 13 kmph. The speed of the stream is?
Choose the correct choice from the following answers
A) 3kmph
B) 2.5kmph
C) 3.5kmph
D) 4.3kmph
E) 5kmph

Solution: Speed of stream = 1/2 (13-8) = 2.5kmph   Answer is 2.5kmph
Answer: B
Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?	Options:  A) 10Kg  B) 20Kg  C) 30Kg  D) 40Kg  E) 50Kg

Solution: The fruit content in both the fresh fruit and dry fruit is the same.   Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh fruits is 100kg   Dry fruit has 20% water. so remaining 80% is fruit content. let weight if dry fruit be y kg.   fruit % in fresh fruit = fruit% in dry fruit   (32/100) * 100 = (80/100 )* y   we get, y = 40 kg   Answer :40Kg
Answer: D
Find the fourth proportion to 3,12,4
Select the correct option:  A) 18  B) 16  C) 10  D) 12  E) 14

Solution: Explanation:   3:12:: 4:x   => 3/12 = 4/x   => x = 48/3   => x = 16   Option 16
Answer: B
Charles walks over a railway-bridge. At the moment that he is just ten meters away from the middle of the bridge, he hears a train coming from behind. At that moment, the train, which travels at a speed of 90 km/h, is exactly as far away from the bridge as the bridge measures in length. Without hesitation, Charles rushes straight towards the train to get off the bridge. In this way, he misses the train by just four meters! If Charles would, however, have rushed exactly as fast in the other direction, the train would have hit him eight meters before the end of the bridge.
What is the length of the railway-bridge?  Choose the correct choice from the following answers
A) 40 meters.  B) 41 meters.  C) 42 meters.  D) 43 meters.  E) 44 meters.

Solution: Solution:   Let the length of the bridge be x meters.   Running towards the train, Charles covers 0.5x-10 meters in the time that the train travels x-4 meters. Running away from the train, Charles covers 0.5x+2 meters in the time that the train travels 2x-8 meters.   Because their speeds are constant, the following holds:   (0.5x-10) / (x-4) = (0.5x+2) / (2x-8)   which can be rewritten to   0.5x2 - 24x + 88 = 0   Using the abc formula we find that x=44, so the railway-bridge has a length of 44 meters.   Answer 44 meters.
Answer: E
c and d represents 2 train stations which are 320 km apart. If 2 trains leave each station and travel towards each other at what time will they meet each other, given that the first train left the station at 11 a.m. and travels at a speed of 85 kmph while the second train left the station at 12 p.m. and travels at a speed of 75 kmph. Pick:
A) 1.00 p.m	B) 2.00 p.m	C) 12.00 p.m	D) 12.30 p.m	E) 11.00p.m

Solution: Suppose they meet x hours after 11 a.m.   Distance moved by first train in x hours + distance moved by 2nd train in x-1 hrs = 320   85x+75(x-1) = 320   85x+75x-75= 320   160x= 320   x = 2   So they meet 2 hr after 10 a.m. which is at 12.00 p.m.   Answer is 12.00 p.m
Answer: C
If x is the median of the set {9/2, 11/3, x,28/9, 21/5}, x could be  Choose the correct choice from the following.
A) 16/5	B) 17/5	C) 4/7	D) 30/7	E) 4

Solution: The median is the middle number once all the numbers are arranged in increasing/decreasing order.   We see that   11/3 = 3.something,   28/9 = 3.something   21/5 = 4.something   9/2 = 4.something   So x should greater than the smallest two numbers and smaller than the greatest two numbers. We can see that x = 4 is possible. (First look at the simplest option or the middle option since options are usually arranged in increasing/decreasing order)   Answer (4)
Answer: E
The cost to park a car in a certain parking garage is $15.00 for up to 2 hours of parking and $1.75 for each hour in excess of 2 hours. What is the average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours?	Select
A) $1.09  B) $1.67  C) $2.25  D) $2.37  E) $3.03

Solution: Total cost of parking for 9 hours = 15$ for the first 2 hours and then 1.75 for (9-2) hours = 15+7*1.75= 
15+7*1.75 = 27.25
27.25   Thus the AV$3.03RAG$3.03 parking price= 27.25/9 = 3.03 $   $3.03 is the correct answer.
Answer: E
A library has an average of 175 visitors on Sundays and 75 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :
Pick one:
A) 80  B) 90  C) 100  D) 110  E) 120

Solution: Explanation:   Since the month begins with a Sunday, so there will be five Sundays in the month,   Required average = (165 * 5 + 75 * 25) / 30 = 2700/30= 
2700/30 = 90
90   Answer: 90) 90
Answer: B
Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 15% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?	Pick one:
A) $15,840
B) $17,820
C) $18,000
D) $18,315
E) $21,780

Solution: 10000 seats --> Full Price : Half Price = 8500 : 1500   Price when all seats are filled = 17000 + 1500= 
17000 + 1500 = 18_500
18500   100 seats are unsold --> Loss due to unfilled seats= 15 + 2*85= 
15 + 2*85 = 185
185   Revenue= 18500 - 185= 
18500 - 185 = 18_315
18315   Answer: $18,315
Answer: D
If the average cost of a house was $50,000 in 1965 and was x in 2005, what was the average increase in home prices per year over this period?
Answers
A) (x+50,000)/40  B) (x-50,000)/40  C) (50,000/40)+x  D) (50,000-x)/40  E) x/40

Solution: Average house price in 2005: x   Average house price in 1965: 50,000   2005-1965= 
2005-1965 = 40
40   Average increase per year: (x-50,000)/40   Answer is (x-50,000)/40
Answer: B
Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/4 of an ounce and one to measure exactly 1/5 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use either pipette to remove distilled water from the vat or from the beaker and use either pipette to dispense water into either of those receptacles, but you cannot use either pipette to take any quantity of distilled water other than the amount for which it is designed. Which of the following represents, in ounces, a precise amount of distilled water you can transfer from the vat to the beaker?
I. 1/6
II. 1/7
III. 1/12	Choose the most appropriate option:
A) I only  B) 1/20 and 9/20  C) I and III only  D) II and III only  E) I, II, and III

Solution: 1/4-1/5=1/20   1/4+1/5=9/20   Answer: 1/20 and 9/20
Answer: B
A train is running at a speed of 40 km/hr and it crosses a post in 16.2 seconds. What is the length of the train?
Select the correct option:
A) 190 metres
B) 160 metres
C) 200 metres
D) 120 metres
E) 250 metres

Solution: Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s   Time taken to cross, t = 16.2 s   Distance Covered, d = vt = (400/36)Ã— 16.2 = 160 m   Distance covered is equal to the length of the train = 160 m   Correct answer is 160 metres   160 metres
Answer: B
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?  Choices:
A) 22  B) 68  C) 26  D) 28  E) 12

Solution: Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph   Answer: 68
Answer: B
How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed 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 from the following
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 precede d 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
What sum of money put at C.I amounts in 2 years to Rs.7000 and in 3 years to Rs.9261?
Choose the correct option:
A) 4000  B) 8877  C) 2877  D) 2678  E) 1011

Solution: 7000 ---- 2261   100 ---- ? => 32.3%   x *1323/100 * 1323/100 = 7000   x*1.75=7000   x=7000/1.75 => 3999.25   4000nswer: 4000
Answer: A
All of the students of Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 136 students in the band. If 60 percent of the students are in the band only, how many students are in the orchestra only?
Options.
A) 33 B) 39 C) 34 D) 42 E) 48

Solution: % of students in one group only = 80%   % of students in both groups = 100 - 80= 
100 - 80 = 20
20%   % of students in the band only= 60%   Number of students who are in band = 136   20% + 60% = 80% 20  + 60= 
20  + 60 = 80
80%= 136 Students   Finding total students:   x = (136 x 100)/80   x = 170   Students in orchestra only = 170 - 136= 
170 - 136 = 34
34   Answer:34
Answer: C
Three dice are thrown together, Find the probability of getting a total of at least 5?
Choose the correct choice:
A) 2/7	B) 3/5	C) 51/52	D) 1/2	E) 53/54

Solution: Three different dice are thrown at the same time.   Therefore, total number of possible outcomes will be 63 = (6 × 6 × 6) = 216.   Number of events of getting a total of less than 5 = 4   i.e. (1, 1, 1), (1, 1, 2), (1, 2, 1) and (2, 1, 1).   Therefore, probability of getting a total of less than 5   P(53/54) = Number of favorable outcomes/Total number of possible outcome   = 4/216   = 1/54   Therefore, probability of getting a total of at least 5 = 1 - P(getting a total of less than 5)   = 1 - 1/54   = (54 - 1)/54   = 53/54
Answer: E
A chair is bought for Rs.120/- and sold at Rs.240/- find gain or loss percentage Options:	A) 115% loss	B) 120% gain	C) 125% gain	D) 100% gain	E) 350% gain

Solution: Formula = (Selling price ~ Cost price)/Cost price * 100   = (240- 120)/120 = 100% gain   100% gain
Answer: D
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?  Choose the correct choice from the following answers
A) 29999	B) 26676	C) 29986	D) 14000	E) 29898

Solution: 25*12: 30*12: 35*8   15:18:14   14/47 * 47000= 
14/47 * 47000 = 14_000
14000   Answer: 14000
Answer: D
The average (arithmetic mean) of eight numbers is 44.1. If the sum of half of these numbers is 158.4, what is the average of the other half?	Choose the correct answer
A) 12.8 B) 24.2 C) 48.6 D) 72.1 E) 96.8

Solution: arithmetic mean = sum / total numbers   sum = 44.1 * 8= 
44.1 * 8 = 352.8
352.8   sum of half of these numbers is 158.4. So, 4 numbers sum is 158.4. Rest 4 numbers sum= 352.8-158.4= 
352.8-158.4 = 194.4
194.4   Arithmetic mean of the 4 nos= 194.4/4= 
194.4/4 = 48.6
48.6   Hence, 48.6 is the answer.
Answer: C
The price of the jewel, passing through three hands, rises on the whole by 80%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller.  Choose the correct choice from the following answers:
A) 20
B) 10
C) 15
D) 25
E) 30

Solution: Let the original price of the jewel be $ p and let the profit earned by the third seller be x% Then, (100+x)% of 125% of 120% of P =180% Of P ((100+X)/100*125/100*120/100*P)=(180/100*P)   ==> (100+X)=(180*100*100)/(125*120)= 
(180*100*100)/(125*120) = 120
120=>X=20%   20nswer 20
Answer: A
A man buys Rs. 44 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is: Choose the correct choice from the following answers.
A) s. 12	B) s. 15	C) s. 18	D) s. 21	E) s. 33

Solution: Dividend on Rs. 44 = Rs.	9/100	x 44 =Rs.	3.96	.   Rs. 12 is an income on Rs. 100.   Rs.	3.96	is an income on Rs.100/12 x 3.96= Rs. 33.   Answer: Option s. 33
Answer: E
Which of the following is greatest?	Pick one.
A) 1/2	B) 1/4	C) 1/3	D) 1/6	E) 1/7

Solution: simply we know that 1/2 is greater than all others.   So, 1/2nswer : 1/2
Answer: A
Ron walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long R would it have taken for him to walk both ways.
Choose the correct choice.
A) 8 h 45 min  B) 7 h 45 min  C) 6 h 45 min  D) 5 h 30 min  E) None of these

Solution: 1.Walking to to a viewpoint+Driving back=6 hours 45 minutes   2.Driving to a viewpoint+Driving back=6 hours 45 minutes - 2 hours=4 hours 45 minutes, thereforeone way driving=4 hours 45 minutes/2 =2 hours 22.5 minutes.   3. From 1.one way driving=6 hours 45 minutes-2 hours 22.5 minutes=4 hours 22.5 minutes.   4.Walking to to a viewpoint+Walking back R=4 hours 22.5 minutes+4 hours 22.5 minutes=8 hours 45 minutes.   8 h 45 minnswer: 8 h 45 min.
Answer: A
A work can be finished in 14 days by thirty women. The same work can be finished in fifteen days by forteen men. The ratio between the capacity of a man and a woman is
Choose the correct choice from the following options
A) 3:4  B) 4:3  C) 2:1  D) 3:2  E) 4:5

Solution: Work done by 20 women in 1 day = 1/14   Work done by 1 woman in 1 day = 1/(14Ã—30)   Work done by 14 men in 1 day = 1/15   Work done by 1 man in 1 day = 1/(15Ã—14)   Ratio of the capacity of a man and woman =1/(15Ã—14) : 1/(14Ã—30) = 1/15 : 1/30   = 1/3 :1/6 = 1/1= 
1/1 = 1
1/2=2:1   Answer is 2:1
Answer: C
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?  Select the correct option.
A) 5/6 km/hr
B) 25 km/hr
C) 79.2 km/hr
D) 15 km/hr
E) 38 km/hr

Solution: Explanation:   Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 8 => x = 8y   (x + 264)/20 = y   y = 22   Speed = 22 m/sec = 22 * 18/5= 
22 * 18/5 = 396/5 = around 79.2
79.2 km/hr   Answer:79.2 km/hr
Answer: C
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choose the correct choice from the following options: A) 228 m B) 240 m C) 227 m D) 167 m E) 186 m

Solution: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m   = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x   = 240 m.   Answer: 240 m
Answer: B
If Raj shares all of his amount equally among his five friends then each of his friend's amount increased by $10 then Raj had how much? Select the correct option
A) $10	B) $20	C) $30	D) $40	E) $50

Solution: Five friends amount increased by $10 and Raj shared equally so amount = 5 * 10= 
5 * 10 = 50
50   Answer:$50
Answer: E
The public library has exactly 2 floors. It has 3/4 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?	Choose the correct choice
A) 24/39	B) 5/14	C) 5/9	D) 9/14	E) 5/6

Solution: Let x be the no of shelves and y be the no of books per shelf on first floor.   Now no of shelves on 2nd floor = (3/4)*x   no of books per shelf on 2nd floor = (5/6) * y   So total no books on first floor = xy and total no of books on 2nd floor = (3/4)*x*(5/6)*y = (15/24)*xy   fraction of library books on first floor = (xy)/(xy + (15/24)*xy)   =1 / (1+(15/24))   =24/39   So 24/39
Answer: A
If p / q is an integer, which of the following statements must be true?
Choose the correct choice from the following answers.
A) p = nq where n is an integer  B) both p and q are integers  C) q / p is an integer  D) either p or q is negative  E) p is an integer

Solution: Let p = 1/4; q = 1/8 --> p/q = 2   p = nq where n is an integer --> 1/4 = 2*(1/8) --> Correct   p = nq where n is an integernswer: p = nq where n is an integer
Answer: A
The population of a bacteria colony doubles every day. If it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?  Choose the correct option:
A) 64
B) 128
C) 256
D) 512
E) 1024

Solution: 2^6(2) = 2^7 = 128   The answer is 128.
Answer: B
A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 25% of the original number. What percent of the red candies remain?	Choose the correct choice from the following answers
A) 10%  B) 15%  C) 25%  D) 35%  E) 40%

Solution: Let x be the original number of each color.   Kaz eats all of the green candies and half of the orange ones.   There are 0 green candies and 0.5x orange candies remaining.   He eats half of the remaining pieces of each color.   There are 0.25x orange candies, and 0.5x each of red, yellow, and blue candies.   He eats red and yellow candies in equal proportions.   orange+blue+red+yellow = 0.75x + red + yellow = 1.25x   red + yellow = 0.5x   red = 0.25x, since red = yellow.   The answer is 25%.
Answer: C
A train ride from Two P to Town Q costs $2.35 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.85. What is the cost of a bus ride from Town P to Town Q?	Answers
A) $1.25	B) $2.50	C) $3.75	D) $4.70	E) $8.20

Solution: Let x be the cost of a bus ride.   x + (x+235) = 985   2x = 750   x = $3.75   The answer is $3.75.
Answer: C
Square A has an area of 25 square centimeters. Square B has a perimeter of 12 centimeters. If square B is placed within square A and a random point is chosen within square A, what is the probability the point is not within square B?	Answers
A) 9/25 B) 1/5 C) 16/25 D) 3/5 E) 6/25

Solution: I guess it's mean that square B is placed within square Aentirely.   Since, the perimeter of B is 12, then its side is 12/4= 
12/4 = 3
3 and the area is 3^2=9   Empty space between the squares is   25-9= 
  25-9 = 16
16 square centimeters, so if a random point is in this area then it won't be within square B: P=favorable/total=16/25.   Answer: 16/25
Answer: C
What are the unit and symbol for current? Select:
A) WW
B) 776
C) 26
D) 68
E) 26

Solution: Answer: Option 68
Answer: D
Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is? Choose the most appropriate option:
A) 6 hrs
B) 8 hrs
C) 7 hrs
D) 3 hrs
E) 12 hrs

Solution: (A + B)'s 1 hour work = (1/12 + 1/15) = 3/20   (A + C)'s 1 hour work = (1/12 + 1/20) = 2/15   Part filled in 2 hrs = (3/20 + 2/15) = 17/60   Part filled in 6 hrs = 3 * 17/60 = 17/20   Remaining part = 1 - 17/20 = 3/20   Now, it is the turn of A and B and 3/20 part is filled by A and B in 1 hour.   Total time taken to fill the tank = (6 + 1)= 
(6 + 1) = 7
7 hrs.Answer: 7 hrs
Answer: C
10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?	Options:
A) 6
B) 6 1⁄3
C) 6 2⁄3
D) 7 2⁄3
E) None of these

Solution: 10 men’s 1 day’s work = 1⁄15   15 women’s 1 day’s work = 1⁄12   (10 men + 15 women)’s 1 day’s work   = (1⁄15 + 1⁄12) = 9⁄60 = 3⁄20   ∴ 10 men and 15 women will complete the work in 20⁄3 = 62⁄3 days.   Answer 6 2⁄3
Answer: C
Rohan spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are Rs. 1500. then his monthly salary is Choose one.
A) Rs. 6000
B) Rs. 7500
C) Rs. 8000
D) Rs. 10,000
E) None

Solution: Sol.   Saving = [100 - (40 + 20 + 10 + 10]% = 20%.   Let the monthly salary be Rs. x.   Then, 20% of x = 1500   ⇔ 20 / 100x = 1500   ⇔ x = 1500 × 5 = 7500.   Answer Rs. 7500
Answer: B
(4300631)-?=2535618	Choose the correct choice:
A) 1865113  B) 1775123  C) 1765013  D) 1675123  E) None of them

Solution: Let 4300631-x=2535618   then x=4300631-2535618= 
4300631-2535618 = 1_765_013
1765013   Answer is 1765013
Answer: C
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?	Select the correct option.
A) 33/98  B) 33/91  C) 33/92  D) 33/96  E) 33/93

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = ¹²C₄/¹⁵C₄   = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12)   = 33/91   Answer:33/91
Answer: B
Krishna's monthly expenditure was decreased by 50% and subsequently increased by 50%. How much percent does he loss?  Choose the correct choice from the following:
A) 25 % B) 50 % C) 75 % D) 85 % E) None of these

Solution: Explanation :   Let the original expenditure = Rs. 100.   New final expenditure = 150% of (50% of Rs. 100)   = Rs.(150/10050/100100)   = Rs. 75.   Decrease = 100- 75= 
100- 75 = 25
25 %   25 %nswer : 25 %
Answer: A
In a school with 5 classes, each class has 2 students less then the previous class. How many students are there in the largest class if the total number of students at school is 95?	Choose the most appropriate option
A) 17	B) 19	C) 21	D) 23	E) 25

Solution: Total classes = 5   Total students = 95.   Average = 19   If the classes had average number of students: 19 19 19 19 19   Given case = 23 21 19 17 15   Hence number of students in the largest class = 23   Correct Option: 23
Answer: D