MU-NLPC/Calc-aqua_rat huggingface dataset:
Jolene entered an 16-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?
Choose the correct choice from the following: A) $506.00 B) $726.24 C) $900.00 D) $920.24 E) $926.24

Solution: If interest were not compounded in every six months (so if interest were not earned on interest) then we would have   (2+3+4)= 
  (2+3+4) = 9
9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.   Interest earned after the first time interval: $10,000*2%=$200;   Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306;   Interest earned after the third time interval: ($10,000+$200+$306)*4%300+ 6= 
300+ 6 = 306
$306;   Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;   Total: 200+306+(~420)400+ 8+(  12)= 
400+ 8+(  12) = 420
~$420;   Total: 200+306+(~420)=~$920.24   Answer: $920.24.
Answer: D
The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.05, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 35 brand B widgets, 25 brand C widgets, and nothing else in a container. If a widget is selected at random from the container, the probability that the widget selected is defective is 0.053. What is the value of x?	Choose the correct choice from the following:
A) 0.03875  B) 0.04  C) 0.05  D) 0.6  E) 0.039

Solution: Given probability of defective items in each brand,   So, the number of items defective in brand 0.03875=x*40, in brand B=0.05*35 and brand C=0.08*25   Total number of widgets=40+35+25= 
40+35+25 = 100
100   the probability that the widget selected is defective is 0.053=(x*40+0.05*35+0.08*25)/100   => 40x+1.75+2=5.3   =>40x=1.55   >x=1.55/40= 
1.55/40 = 0.03875
0.03875   0.03875ns 0.03875.
Answer: A
The present worth of Rs. 242 due in 2 years at 10% per annum compound interest is:	Choose the correct choice from the following options
A) Rs. 200	B) Rs. 250	C) Rs. 240	D) Rs. 220	E) Rs. 230

Solution: Explanation:   Present worth of Rs. x due T years hence is given by   Present Worth (PW) = x/(1+R/100)T   Present Worth (PW) = 242/(1+10/100)2 = 242/(11/10)2 = Rs. 200   Rs. 200nswer: Option Rs. 200
Answer: A
A and B together can do a piece of work in 20days. A having worked for 10days, B finishes the remaining work alone in 30days. In how many days shall B finish the whole work?	Select the correct option
A) 25  B) 40  C) 50  D) 30  E) 60

Solution: Let A's 1day work = x   40's 1day work = y   x+y = 1/20   10x+30y = 1   x = 1/40   y = 1/40   40's 1 day work = 1/40   40 alone can finish the job in 40 days   Answer is 40
Answer: B
One out of every 500 light bulbs are defected. If 4 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?  Select the correct option:
A) 2,000 B) 5,000 C) 10,000 D) 25,000 E) 52,000

Solution: out of 500 only 1 bulb is defective.So for 10 defective bulbs, we must have 5000 bulbs   Now out of these 10 bulbs, 4 bulbs, have broken glass   i.e 4 broken glass out of 5000 bulbs   20 broken glass will be from 25000 bulbs   Answer is 25,000
Answer: D
A 6% stock yields 9%. The market value of the stock is: Choose the correct choice from the following answers:
A) Rs 66.55
B) Rs 68.55
C) Rs 69.55
D) Rs 65.55
E) Rs 66.66

Solution: Explanation:   For an income of Rs. 9, investment = Rs. 100.   For an income of Rs 6, investment =Rs.100/9 X6 =Rs 66.66   Market value of Rs. 100 stock = Rs. 66.66   Answer is Rs 66.66
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Select:  A) 277  B) 266  C) 288  D) 150  E) 332

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m   .   Answer: 150
Answer: D
If the cost price of 24 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?	Options.
A) 20% loss B) 50% profit C) 33.33 % loss D) 30.33% loss E) None of these

Solution: Explanation :   Let Cost price of 1 article be Re.1.   Therefore, Cost price of 24 articles = Rs. 24.   Selling price of 16 articles = Rs. 24   Therefore, Selling price of 24 articles is :-   =>24/16Ã—24   =>36.   Therefore, Profit = Selling price - Cost price.   =>36âˆ’24=12.   Hence, the percentage of profit = profit x 100/C.P.   =>12/24Ã—100.   =>50% Profit.   Answer : 50% profit
Answer: B
The sum of two whole no. is 64.from the following which can not be the ratio of these no. Choose the correct choice
A) 5:3  B) 7:1  C) 3:4  D) 3:5  E) all above

Solution: Answer:	the addition of ratio no. should be factor of 64.so,3:4 can't be the ratio   answer 3:4
Answer: C
A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1.5% cash on their first $5000 of purchase, 2.5% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.8% on their total annual charges made on the credit card, then what was the customer's annual charge?
Choose the most appropriate option.
A) $40,000
B) $45,000
C) $50,000
D) $55,000
E) $60,000

Solution: The customer receives $75 for the first $5000.   The customer receives $125 for the next $5000.   Let x be the total amount of the customer's annual charge.   $200 + 0.03(x-10,000)=0.028x   0.002x=100   x=50,000   The answer is $50,000.
Answer: C
Two positive integers differ by 4, and sum of their reciprocals is 5 Then one of the numbers is	Pick one.
A) a) 3	B) b) 1	C) c) 5	D) d) 21	E) 4

Solution: Algebraic approach:   Let n be the smaller integer => 1/n + 1/(n+4) = 5   or ((n+4)+n)/n(n+4) =6 or (n^2+4n)*5 =2n+4 or n=2 as n cannot be -negative   Solve for n => n=4. Hence,   4
Answer: E
Find the odd man out. 12, 24, 34, 48, 64, 84	Choose the correct choice from the following choices: A) 48 B) 34 C) 24 D) 12 E) 64

Solution: Explanation :   All numbers except 34 are multiples of 4   Answer : Option 34
Answer: B
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choose the correct choice from the following: A) 20 B) 80 C) 100 D) 200 E) none

Solution: Let the number of students in rooms A and B be x and y respectively.   Then, x - 10 = y + 10 x - y = 20 .... (i)   and x + 20 = 2(y - 20) x - 2y = -60 .... (ii)   Solving (i) and (ii) we get: x = 100 , y = 80.   The required answer A = 100.   Answer = 100
Answer: C
In one day, Juan sends Keith five times as many messages as he sends Laurence, and Laurence sends Missy 4.5 times as many messages as he receives from Juan. If Missy received 18 messages from Laurence, how many messages does Keith receive from Juan? Choose the correct answer
A) 3 B) 12 C) 16 D) 18 E) 20

Solution: Juan --> Laurence = x messages;   Juan --> Keith = 5x messages (Juan sends Keith five times as many messages as he sends Laurence);   Laurence --> Missy = 4.5x =18 (Laurence sends Missy 4.5 times as many messages as he receives from Juan).   4.5x =18 --> x = 4 --> 5x = 20.   Answer: 20.
Answer: E
A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 30 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 6 hours . What was the average rate of speed of the train on the return trip to Albany? Options
A) 31  B) 38  C) 60  D) 50  E) 40

Solution: 30*T =120 THEREFORE T = 120/30= 
120/30 = 4
4   ON RETURN SPEED * ( 6 -4)=120 THEREFORE T = 120/2= 
120/2 = 60
60   60
Answer: C
Andrew travelling to 7 cities. Gasoline prices varied from city to city. $1.75, $1.61, $1.79, $2.11, $1.96, $2.09, $1.86. What is the median gasoline price? Choose the correct option.
A) $1  B) $1.86  C) $1.92  D) $2.13  E) $2.15

Solution: Ordering the data from least to greatest, we get:   $1.61, $1.75, $1.79, $1.86, $1.96, $2.09, $2.11   The median gasoline price is $1.86. (There were 3 states with higher gasoline prices and 3 with lower prices.)   $1.86
Answer: B
Julie wants to play chess with her friends. She have 6 friends. What are the possible ways to select friends to play with her? Choose one.
A) 10  B) 3  C) 6  D) 2  E) 11

Solution: Julie want to play chess. So she need only one friend but there 6 friends.   That is she have to select 1 out of 6   661=6   6 possible ways to select her friends to play with julie(herself)   Answer is option 6
Answer: C
Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the game remainder in each case. Then sum of the digits in N is :	Choose the correct choice:  A) 4  B) 5  C) 6  D) 8  E) 9

Solution: Solution   N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)   = H.C.F. of 3360, 2240 and 5600 = 1120.   Sum of digits in N = (1 + 1 + 2 + 0)= 
(1 + 1 + 2 + 0) = 4
4. 4nswer 4
Answer: A
How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choose the most appropriate option.
A) 22	B) 36	C) 99	D) 77	E) 12

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 600 * 3/50= 
600 * 3/50 = 36
36 sec.   Answer: 36
Answer: B
If Jake loses 33 pounds, he will weigh twice as much as his sister. Together they now weigh 153 pounds. What is Jake's present weight, in pounds?	Choose the most appropriate option:  A) 131  B) 135  C) 113  D) 147  E) 188

Solution: J = Jake’s current weight, in pounds   S = Sister’s current weight, in pounds   We are told that “If Jake loses 8 pounds, he will weigh twice as much as his sister.We put this into an equation:   J – 33 = 2S   J = 2S + 33 (Equation 1)   Next, we are told that “Together they now weigh 153 pounds.” We can also put this into an equation.   J + S = 153 (Equation 2)   To solve this equation, we can substitute 2S + 8 from Equation 1 for the variable J in Equation 2:   2S + 33 = 153-S   3S = 120   S = 40   J + 40 = 153   J = 113   Answer: 113
Answer: C
If A : B : C = 2 : 3 : 4, then A⁄B : B⁄C : C⁄A is equal to :  Choose the correct choice
A) 4 : 9 : 16 B) 8 : 9 : 12 C) 8 : 9 : 16 D) 8 : 9 : 24 E) None

Solution: Let A = 2x, B = 3x and C = 4x. Then,   A⁄B = 2x⁄3x = 2⁄3, B⁄C = 3x⁄4x = 3⁄4 and C⁄A = 4x⁄2x = 2⁄1   ⇒ A⁄B : B⁄C : C⁄A = 2⁄3 : 3⁄4 : 2⁄1 = 8 : 9 : 24   Answer 8 : 9 : 24
Answer: D
In a division sum, the divisor is 5 times the quotient and two times the remainder. If the remainder is 40, then the dividend is  Choices.
A) 1320
B) 1380
C) 1395
D) 1367
E) None of these

Solution: Explanation:   Dividend = (Divisor x Quotient) + Remainder   Remainder = 40   Divisor = 5Q = 2R = 2 x 40 = 80   => Q = (80/5)= 
(80/5) = 16
16   Now, Dividend= (80 x 16) + 40 = 1320   1320nswer: Option 1320
Answer: A
If 200!/10^n is an integer, what is the largest possible value of n?  Choose the correct answer.
A) 40	B) 42	C) 44	D) 48	E) 49

Solution: We have to basically count the number of 5s withing 200   200/5= 
200/5 = 40
40   200/5^2=8   200/5^3=1   We know for sure that there will be at least 49 even numbers(multiples of 2)within 200   So there are 49 10s in 200!   ANSW49R:49
Answer: E
Sandy bought 65 books for $1480 from one shop and 55 books for $920 from another shop. What is the average price that Sandy paid per book?	Options:  A) $38  B) $18  C) $99  D) $27  E) $20

Solution: average price per book = (1480 + 920) / (65 + 55) = 2400 / 120= 
2400 / 120 = 20
$20   The answer is $20.
Answer: E
If x^2+(1/x^2)=5, x^4+(1/x^4)=?	Select.
A) 10 B) 11 C) 23 D) 14 E) 15

Solution: -> x^4+(1/x^4)=(x^2)^2+(1/x^2)^2=(x^2+1/x^2)^2-2x^2(1/x^2)=5^2-2=23.   Thus, the answer is 23.
Answer: C
The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.90 per metre.	Choose the correct answer.
A) 2399  B) 3888  C) 2999  D) 5808  E) 6468

Solution: Explanation:   Area = (13.86 x 10000) sq.m = 138600 sq.m   Circumference =   Cost of fencing = Rs. (1320 x 4.90) = Rs. 6468.   Answer: 6468) 6468
Answer: E
In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability T at least one of the shirts he draws will be blue?	Choose the correct choice from the following choices: A) 25/153 B) 28/153 C) 5/17 D) 4/9 E) T=12/17

Solution: P(at least one blue) = 1- P(0 blue) = 1 - 10/18*9/17 =T= 12/17.   Answer: T=12/17.
Answer: E
At 12:00 a.m., Tom begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 4:00 p.m., Jim begins traveling from Riverdale on the same path at a constant rate of 20 mph, at what time will he catch up to Peter?  Choose the correct option:
A) 5:00 p.m.
B) 6:00 p.m.
C) 7:00 p.m.
D) 8:00 p.m.
E) 9:00 p.m.

Solution: By the time Jim starts, Tom has already covered = 4 hr * 10 mph = 40 miles   Relative speed = 20- 10= 
20- 10 = 10
10mph   To catch up, Jim needs to cover 40 miles which can be covered in= 40/10= 
40/10 = 4
4 hours   If Jim leaves at 4 pm, he will catch Tom at 8 pm   Answer: 8:00 p.m.
Answer: D
The perimeter of a triangle is 48 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?  Answers.
A) 87 cm2	B) 28 cm2	C) 98 cm2	D) 26 cm2	E) 60 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle   = 2.5 * 48/2= 
2.5 * 48/2 = 60
60 cm2   Answer:60 cm2
Answer: E
When 8% of a number is added to the number itself the result is 810. What is the number? Select the correct option.
A) 750
B) 758
C) 288
D) 270
E) 712

Solution: Explanation:   No explanation is available for this question!   750NSWER: 750
Answer: A
John bought 2 shares and sold them for $95 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had	Choose the correct choice.
A) a profit of $10 B) a profit of $8 C) a loss of $8 D) a loss of $10 E) neither a profit nor a loss

Solution: $ Profit of the share sold at 20% profit =   120-95   20-?   $15 profit on the sale of 1 share.   $ Loss of the share sold at 20% loss=   80-95   20-?   $25 loss on the sale of 1 share.   15-25=Loss of $10   Answer: a loss of $10
Answer: D
The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?  Choose the correct choice from the following answers.
A) 23 1/6%	B) 23 9/3%	C) 23 1/3%	D) 28 1/3%	E) 21 1/3%

Solution: y=100	x=130   130---------30   100---------? => 23 1/3%   Answer: 23 1/3%
Answer: C
The 7th grade French and Spanish classes each have 26 students in them, and there are nine students in the 7th grade taking both languages. If everyone in the 7th grade is in at least one of the two language classes, how many students are taking just one of the two classes?
Choose one:
A) 26
B) 28
C) 30
D) 32
E) 34

Solution: French class + Spanish class = 52 students.   Nine students are in both classes so they were counted twice.   The number of students taking just one class is 52 - 2(9) = 34.   The answer is 34.
Answer: E
A fair coin is to be tossed twice and an integer is to be selected at random from one of the integers 3, 8, and 10. What is the probability that at least one head is tossed and an even integer is selected?  Select the correct option
A) 1/6 B) 1/4 C) 1/3 D) 1/2 E) 7/12

Solution: 1) Let us simply state the possibilities. This method works for this problem due to the limited number of possibilities   Ways of getting at least a head and an even number =6   HT8   TH8   HT10   TH10   HH8   HH10   Ways of not getting at least one head and an even number=6   TT8   TT10   HT3   TH3   HH3   TT3   Total probability=6/12=1/2   Answer:1/2
Answer: D
Elizabeth bought a dress with a 35% off coupon. If the dress cost her $87.61, what is the original selling price of the dress?
Choose the most appropriate option.
A) $134.78  B) $250.31  C) $118.27  D) $87.61  E) None of these.

Solution: Explanation:CP of Elizabeth is 35% of the Original SP.:. Original SP = $87.61x100/65 = $134.78.$134.78nswer: Option $134.78.
Answer: A
In a set of numbers from 100 to 400 inclusive, how many integers are odd and do not contain the digit 5? Choose the correct choice from the following answers.
A) 180 B) 196 C) 286 D) 288 E) 324

Solution: We have to find the total number of 3-digit odd numbers not having 5 as a digit.   Units digits will be among 1,3,5,7,9   Tenth digits will be among 0,1,2,3,4,6,7,8,9   Hundredth digits will be among 1,2,3,4   So total numbers = 5*9*4= 
5*9*4 = 180
180   180nswer : 180
Answer: A
How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choose the correct answer:
A) 22 sec
B) 77 sec
C) 25 sec
D) 18 sec
E) 17 sec

Solution: D = 100 + 150= 
100 + 150 = 250
250   S= 36 * 5/18= 
36 * 5/18 = 10
10 mps   T= 250/10= 
250/10 = 25
25 sec   Answer:25 sec
Answer: C
A discount of 20 percent on an order of goods followed by a discount of 30 percent amounts to Select:
A) the same as one 44 percent discount	B) the same as one 40 percent discount	C) the same as one 36 percent discount	D) the same as one 30 percent discount	E) the same as one 25 percent discount

Solution: 0.8*0.7*x=0.56x from initial value, meaning 0.44 or 44% discount   the same as one 44 percent discount
Answer: A
Car A runs at the speed of 60 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 70 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B? Choose the most appropriate option:
A) 3 : 7
B) 4 : 9
C) 12 : 7
D) 5 : 7
E) 6 : 11

Solution: 12 : 7ar A travels 60 × 8 = 480 km   12 : 7ar B travels 70 × 4 = 280 km   The ratio is 480 : 280 = 48 : 28 = 12 : 7   The answer is 12 : 7.
Answer: C
A person distributed 20% of his income to his 3 children each. He deposited 30% of his income to his wife's account. He donated 5% of remaining amount to an orphan house.Finally he has $40000. Find his total income?  Choose the correct option.
A) 452000  B) 562000  C) 800000  D) 500000  E) 652000

Solution: 3 children got = 3*20= 
3*20 = 60
60%   wife got= 30%   orphan house = 5%   total = 60+30+5= 
60+30+5 = 95
95%   remaining= 100-95= 
100-95 = 5
5%   5%= 40000   100% = 40000*100/5= 
40000*100/5 = 800_000
$800000   Answer is 800000
Answer: C
A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choose the correct choice from the following:
A) 6	B) 7	C) 10	D) 8	E) 9

Solution: Speed downstream = d/t = 95/(2 1/2) = 38 kmph   Speed upstream = d/t = 45/(2 1/2) = 18 kmph   The speed of the stream = (38 - 18)/2= 
(38 - 18)/2 = 10
10 kmph   Answer: 10
Answer: C
How many 3 digit numbers can be formed from the digits 2,3,5,6,7 and 9 which are divisible by 5 and none of the digits is repeated?  Pick one:	A) 30	B) 20	C) 10	D) 45	E) 50

Solution: Since each desired number is divisible by 5,   so we much have 5 at the unit place.   The hundreds place   can now be filled by any of the remaining 4 digits .   so, there4 ways of filling it.   Required number of numbers = (1 * 5 * 4)= 
(1 * 5 * 4) = 20
20   Ans: 20
Answer: B
A Jar contains a mixture of AB in the ratio 4:1. When 30 L of Mixture is replaced with liquid B, ratio becomes 2:3. How many liters of liquid A was present in mixture initially.  Choose the correct choice:
A) 12  B) 48  C) 16  D) 20  E) 25

Solution: 30 litres of mixture that is replaced will contain 24 litres of A and 6 litres of 48 (as A:48 = 4:1)   Let the initial volume of the mixture be 4K + 1K = 5K   So by condition ,   [ 4K-24]/ [ K-6+30 ]   4  + 1= 
  4  + 1 = 5
5K   So by condition ,   [ 4K-24]/ [ K-6+30 ]= 2/3 = > 12K-72 = 2K-12+60 => 10K = 120   Solve for K which is K = 12   So initial volume of liquid A = 4K = 48 litres   Answer : 48
Answer: B
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 20000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
Choose the most appropriate option.
A) 23  B) 49  C) 22  D) 20  E) 21

Solution: Let the total number of workers be x. Then,   8000x = (20000 * 7) + 6000(x - 7)   = 2000x = 98000   = x = 49.   ANSWER:49
Answer: B
In the faculty of Reverse-Engineering, 500 second year students study numeric methods, 300 second year students study automatic control of airborne vehicles and 300 second year students study them both. How many students are there in the faculty if the second year students are approximately 50% of the total?	Choose the correct choice from the following options.
A) 1100	B) 1200	C) 1150	D) 1000	E) 1050

Solution: Total number of students studying both are 500 + 300 - 300= 
500 + 300 - 300 = 500
500 (Subtracting the 300 since they were included in the both the other numbers already).   So 50% of total is 500, so 100% is 1000   Answer is 1000
Answer: D
Look at this series: 36, 34, 30, 28, 24, ... What number should come next?  Choose the correct choice from the following choices:
A) 20
B) 22
C) 23
D) 26
E) 28

Solution: Explanation: This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.   Answer: Option 22
Answer: B
If a rectangular room measures 10 meters by 5 meters by 4 meters, what is the volume of the room in cubic centimeters? (1 meter=100 centimeters) Choose the most appropriate option
A) 24,000 B) 240,000 C) 2,400,000 D) 200,000,000 E) 240,000,000

Solution: D. 200,000,000   10*100*5*100*4*100 = 200,000,000
Answer: D
One room length is 16 m and breadth 12m.outside this room there is corridor 3.5 m wide.in this corridor how much stone will be used of size 7 decimeter× 5 decimeter?
Choose the correct choice from the following
A) 600	B) 700	C) 800	D) 900	E) 400

Solution: Area of room = (16*12) sq.m= 192 sq.m   Area of room along with corridor=[(16+2*3.5)×(12+2*3.5)] sq.m=(23×19)=437 sq.m.   Area of corridor=[437-192= 
437-192 = 245
245 sq.m   Area of one stone=[7/10*5/10]=7/20sq.m   No. of stone=245×20/7=700   Answer 700
Answer: B
Baker Ram is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?
Pick:
A) 330	B) 300	C) 252	D) 225	E) 210

Solution: Baker Ram is storing cake boxes in cartons The dimensions of the carton are 25x 42x 60and those of each cake box are 8x 7x 5.   To maximize number of boxes try and fit maximum into the base of the box. If you take the base as 25x 42and fit 5 x 6 boxes of 5x 7, then the total number of boxes is 5 x 6 x integer(60/8) = 5 x 6 x 7 = 210.   Alternatively you could try taking the base as 60x 42and fit 12 x 6 boxes of 5x 7, then the total number of boxes is 12 x 6 x integer(25/8) = 12 x 6 x 3 = 216. But since that is not an answer option, I go with (210) 210.
Answer: E