MU-NLPC/Calc-aqua_rat huggingface dataset:
What is the least number which should be added to 2697 so that the sum is exactly divisible by 5, 6, 4, and 3?
Choose the correct option
A) 3	B) 11	C) 19	D) 27	E) 35

Solution: L.C.M. of 5, 6, 4 and 3 = 60.   When dividing 2697 by 60, the remainder is 57.   The number to be added = 60 - 57= 
60 - 57 = 3
3.   The answer is 3.
Answer: A
A can do a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in Choose the correct option:
A) 5days
B) 6days
C) 7.5days
D) 8.5days
E) 9days

Solution: Explanation:   B's 5 days work =   1/10∗5=1/2   Remaining work =1−1/2=1/2   A can finish work =15∗1/2=7.5days   Option 7.5days
Answer: C
If the range of the set of numbers {140, 90, 135, 110, 170, 145, x, 123, 136} is 110, which of the following could be x? Pick one
A) 40	B) 50	C) 60	D) 70	E) 80

Solution: The range of the other 8 numbers is 170-90= 
170-90 = 80
80, so x must be either the smallest number or the largest number in the set.   Then x= 170-110= 
170-110 = 60
60 or x= 90+110= 
90+110 = 200
200   The answer is 60.
Answer: C
Due to construction, the speed limit along an 8-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?  Options:
A) 5
B) 8
C) 10
D) 15
E) 24

Solution: Let t1 is time taken @ 55 mph   t1 = 8/55   Let t2 is time taken @ 35 mph   t2 = 8/35   Difference in time = 8/35 - 8/55 = 8 * 20 / (35 * 55) hr = 160 * 60 / (35 * 55) mins = 4.7 = 5 (approx) mins   5NSWER:5
Answer: A
A train 300 m long passed a pole in 10 sec. How long will it take to pass a platform 600 m long?
Choose the correct choice from the following options.
A) 80	B) 90	C) 100	D) 110	E) 120

Solution: Speed = 300/10= 
300/10 = 30
30 m/sec.   Required time= (300 + 600)/10= 
(300 + 600)/10 = 90
90 sec.   Answer:90
Answer: B
If i equals the sum of the even integers from 2 to 200, inclusive, and k equals the sum of the even integers from 20 to 200, inclusive, what is the value of i - k?
Choose the correct choice from the following:	A) 10	B) 99	C) 9	D) 88	E) 90

Solution: Use following formulae for such problems:   Sum of evenly spaced integers = (# of integers)*(mean of integers)   # of integers = [(last - first)/2] + 1   Mean of integers = (last + first)/2   In above problem:   # of integers = [(200 - 2)/2] + 1= 100 and [(200-20)/2]+ 1 (200 - 2)/2  + 1= 
(200 - 2)/2  + 1 = 100
100 and [(200-20)/2]+ 1 = 91   Mean of integers (200-20)/2 + 1= 
(200-20)/2 + 1 = 91
91   Mean of integers= (200 + 2)/2= 
(200 + 2)/2 = 101
101 and   (200 + 20)/2= 
  (200 + 20)/2 = 110
110   Sum of integers= (100*101)= 
(100*101) = 10_100
10100 and   (91*110)= 
  (91*110) = 10_010
10010   Thus their difference i - k= 10100 - 10010= 
10100 - 10010 = 90
90   ANSW90R:90
Answer: E
If xy = 6 and x^2 + y^2 = 12, then x/y + y/x =	Choices.
A) 2	B) 3 1/7	C) 5 1/3	D) 7	E) 60

Solution: We can make simplifying of question and get it in view: (x^2 + y^2) / xy and as we know the meaning of this parts:   x^2 + y^2 = 12   xy = 6   we can calculate the answer 12/6 -> 2 so answer is 2
Answer: A
The length of the longest tape in cm which can be used to measure exactly, the length 7m; 3m 85cm; and 12m 95cm is:  Choose the correct choice from the following options:
A) 37  B) 35  C) 34  D) 36  E) 38

Solution: The three lengths in cm are 700, 385 & 1295.   HCF of 700, 385 & 1295 is 35.   Hence, the answer is 35 cm.   ANSWER:35
Answer: B
A boat can move upstream at 32 kmph and downstream at 30 kmph, then the speed of the current is?	Choices:
A) 5  B) 9  C) 1  D) 9  E) 5

Solution: US = 32   DS = 30   M = (32 - 30)/2= 
(32 - 30)/2 = 1
1   Answer: 1
Answer: C
Calculate Ronald's average score in an exam if he obtained the following marks 51, 57, 68, 60 and 78 out of 100 in different subjects.	Choices:
A) 69.8  B) 67.8  C) 62.8  D) 61.8  E) 60.8

Solution: Explanation:   (51+57+68+60+78)/5= 
(51+57+68+60+78)/5 = 314/5 = around 62.8
62.8   Answer: Option 62.8
Answer: C
How many two-digit whole numbers yield a remainder of 1 when divided by 20 and also yield a remainder of 1 when divided by 5?
Choose the correct choice from the following answers
A) None B) One C) Two D) Three E) Four

Solution: The possible number N can be written as follow:   N = Multiple of LCM(20,5) + 1st such number   N = 20x + 1   Possible values = 1, 21, 41, 61,81   Answer : 4 such 2 digit number. Four.
Answer: E
What is the greatest positive integer x such that 2^x is a factor of 8^10?	Choose the correct choice
A) 5 B) 9 C) 10 D) 20 E) 30

Solution: 8^10 = (2^3)^10 = 2^30   ANSW30R:30
Answer: E
If A is 25% greater than B then how much percentage is B smaller than A? Choose the correct choice from the following answers: A) 20% B) 30% C) 40% D) 50% E) 60%

Solution: X = 125   Y = 100   X-Y/X × 100 = 25/125 × 100 = 20 % smaller smaller than X   20%)
Answer: A
A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in? Choose the correct choice from the following options:	A) 12 1/2 days	B) 12 6/2 days	C) 12 1/6 days	D) 17 1/2 days	E) 12 1/8 days

Solution: 15/25 + 10/x = 1 => x = 25   1/25 + 1/25 = 2/25   25/2 = 12 1/2 days   12 1/2 daysnswer:12 1/2 days
Answer: A
The average weight of 5 students decreases by 4 kg when one of them weighing 92 kg is replaced by a new student. The weight of the student is
Choose the correct choice from the following options.
A) 62 kg
B) 60 kg
C) 70 kg
D) 72 kg
E) None of these

Solution: Explanation :   Let the weight of student be x kg.   Given, 72 kgifference in average weight = 4 kg   => (92-x)/5 = 4   => x = 72   Answer : 72 kg
Answer: D
A Shopkeeper divides an ice-cream brick in two halves, then cut one of the halves into several smaller portions of equal size. Each of the smaller portions weights 12 grams. The shopkeeper now has a total of 5 portions. How heavy was the original brick?	Answers:
A) 96grams
B) 97grams
C) 98grams
D) 99grams
E) 95grams

Solution: Since there are 5 portions, 4 small portions of equal size and one half of original ice-cream brick.   1 small portion = 12 grams   4 small portion = 4*12= 
4*12 = 48
48grams   Therefore weight of original ice-cream brick= 48*2= 
48*2 = 96
96grams   96gramsNSWER:96grams
Answer: A
HCF of
22×32×52,24×34×53×11
is Select the correct option:
A) 24×34×53
B) 24×34×53×11
C) 22×32×52
D) 2×3×5
E) None of these

Solution: Explanation:   As in HCF we will choose the minimum common factors among the given.. So answer will be third   option   Answer: Option 22×32×52
Answer: C
What is the average (arithmetic mean) of all the multiples of ten from 10 to 200 inclusive?  Choices: A) 90 B) 95 C) 100 D) 105 E) 110

Solution: 10 and 190 inclusive would mean there are 19 terms.   No need to add up all the terms and further divide by 20 since the terms are evenly spaced in ascending order from 10, 20, 30........200   The middle term is the average which is the tenth term = 110   110 is the answer.
Answer: E
Find the area of circle whose radius is 7m?	Choose the correct option
A) 124 sq m
B) 154 sq m
C) 145 sq m
D) 167 sq m
E) 180 sq m

Solution: r = 7   Area of Circle =∏r2   = (22/7)(7)(7)   = 154 sq m.Answer: 154 sq m
Answer: B
What is the number of integers from 1 to 1000 (inclusive) that are divisible by neither 11 nor by 34?
Answers.
A) 884 B) 890 C) 892 D) 910 E) 945

Solution: Normally, I would use the method used by Bunuel. It's the most accurate. But if you are looking for a speedy solution, you can use another method which will sometimes give you an estimate. Looking at the options (most of them are spread out), I wont mind trying it. (Mind you, the method is accurate here since the numbers start from 1.)   In 1000 consecutive numbers, number of multiples of 11 = 1000/11 = 90 (Ignore decimals)   In 1000 consecutive numbers, number of multiples of 35 = 1000/35 = 28   Number of multiples of 11*35 i.e. 385 = 1000/385 = 2   Number of integers from 1 to 1000 that are divisible by neither 11 nor by 35 = 1000 - (90 + 28 - 2) {Using the concept of sets here) = 890   Think: Why did I say the method is approximate in some cases?   Think what happens if the given range is 11 to 1010 both inclusive (again 1000 numbers)   What is the number of multiples in this case?   890
Answer: B
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 5625 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?  Choose one:
A) 140 sq.units	B) 300 sq.units	C) 367sq.units	D) 178sq.units	E) 176sq.units

Solution: Given that the area of the square = 5625 sq.units   => Side of square = √5625 = 75units   The radius of the circle = side of the square = 75 units Length of the rectangle = 2/5 * 75= 
2/5 * 75 = 30
30 units   Given that breadth= 10 units   Area of the rectangle = lb = 30 * 10= 
30 * 10 = 300
300 sq.units   Answer:300 sq.units
Answer: B
What is the probability that a 5 person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains exactly 1 woman?
Choose the correct choice
A) 55/204	B) 77/832	C) 11/77	D) 308/1411	E) 22/832

Solution: Total possible selections = 5 out of 18 group members = 18C5   Favorable selections = 1 out of 7 women and 4 out of 11 (= 6 men + 5 children) = 7C1 * 11C4   Thus the required probability = 7C1*11C4 / 18C5 = 55/204. Thus 55/204 is the correct answer.
Answer: A
Baker Tom 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?	Choose the correct choice from the following answers:
A) 330  B) 300  C) 252  D) 225  E) 210

Solution: Baker Tom 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
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?  Choose the correct option:
A) Rs. 1090	B) Rs. 1160	C) Rs. 1190	D) Rs. 1202	E) Rs. 1502

Solution: S.P. = 85% of Rs. 1400 = Rs. 85/100	x 1400 = Rs. 1190   Answer: Option Rs. 1190
Answer: C
The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 5 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?	Pick
A) $107  B) $109  C) $106  D) $111  E) $105

Solution: Final price = (1+5/100) * Original Price   = 1.05 * Original Price   From options given only 105 is divisible by 1.05 as it is stated OP is whole dollar amount.   Hence $105
Answer: E
Three candidates contested an election and received 936, 7636 and 19628 votes respectively. What percentage of the total votes did the winning candidate got	Choose one:
A) 55% B) 56% C) 57% D) 58% E) 69.6%

Solution: 69.6%xplanation:   Total number of votes polled = (936 + 7636 + 19628)= 
(936 + 7636 + 19628) = 28_200
28200   So, Required percentage= 19628/28200 * 100 = 69.6%   Answer: Option 69.6%
Answer: E
Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 5 union members work each shift, then how many different combinations of employees might work any given shift? Choose the correct choice from the following answers:
A) 56  B) 231  C) 336  D) 350  E) 406

Solution: Looks easy: -- 83365*53361 + 83365 -- 336 (336).
Answer: C
P can do piece of work in 30 days while Q alone can do it in 40 days. In how many days can P and Q working together do it?
Choose the correct answer:
A) 17 1/7
B) 18 1/7
C) 20 1/7
D) 22 1/7
E) 24 2/7

Solution: P D17 1/7YS WORK = 1/30   Q ONE D17 1/7Y WORK = 1/40   (P+Q) ONE D17 1/7Y = 1/30 + 1/40 = 7/120   17 1/7 17 1/7ND B FINISH WORK = 17 1/7 D17 1/7YS   17 1/7NSWER 17 1/7
Answer: A
In how many different number of ways 4 boys and 1 girls can sit on a bench? Choose the correct choice from the following choices:
A) 120 B) 730 C) 740 D) 750 E) 800

Solution: npn = n!   5p5 = 5 × 4 × 3 × 2 × 1 = 120   120
Answer: A
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:	Choose the correct choice from the following answers:
A) 10%
B) 10.25%
C) 10.5%
D) 11 %
E) None of these

Solution: Let the sum be Rs. 100. Then,   S.I. for first 6 months = Rs.((100 x 10 x 1)/(100 x 2))	= Rs. 5   S.I. for last 6 months = Rs.((105 x 10 x 1)/	(100 x 2))= Rs. 5.25   So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs. 110.25   Effective rate = (110.25 - 100)= 
(110.25 - 100) = 10.25
10.25%   Answer : 10.25%
Answer: B
In a given community, it is estimated that the overall population of white dogs is 50% more than the number of white male dogs. The total population of female dogs is 7 times the number of white female dogs. If the number of male and female dogs in the community is equal, what percentage of male dogs are white? Choose the correct choice from the following.
A) 28.6  B) 25.5  C) 56.1  D) 15.1  E) 30.1

Solution: Since we are dealing in percentage let us pick 100 as the number of white male dogs.   That means that the total number of white dogs is= 150 (50% more),   therefore the number of white female dogs is 50.   The total number of female dogs is 7x the number of white female dogs= 7*50= 
7*50 = 350
350 female dogs.   population of male dogs is equal with the population of the female dogs= 350   Therefore percentage of white male dogs = 100/350*100=28.6   Correct option is 28.6
Answer: A
in how many ways seven letters between A & B be arranged from alphabets so that repetition is not allowed?  Options
A) 24P7 * 2!  B) 24P7 * 3!  C) 24P7 * 4!  D) 24P7 * 5!  E) 24P7 * 6!

Solution: 7 letters between 24P7 * 2! & B &,24P7 * 2!,B has a fixed position   so,   24P7 * 2!   24P7 * 2!NSWER:24P7 * 2!
Answer: A
When positive integer N is divided by positive integer J, the remainder is 28. If N/J = 142.07, what is value of J?	Pick one:	A) 300	B) 375	C) 400	D) 460	E) 500

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 = 142.07   Here 142 is the quotient.   Given that Remainder = 28   So, 142.07= 142 + 28/J   So, J = 400   Answer- 400
Answer: C
What is the remainder when 7^498 is divided by 5 ?  Choose the correct answer:
A) 4	B) 3	C) 2	D) 1	E) 0

Solution: 7^0 = 1   7^1 = 7   7^2 = 49   7^3 = 343   7^4 = ...1   7^5 = ....7   7^6 = ......9   and so on in a recurring pattern of 1,7,9,3,1,7,9,3....   498/4 = 124 (with a remainder 2) so the last number is a 9.   so when 7^498 is divided by 5 the remainder is 4, 4NS = 4
Answer: A
A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio of milk and water in the resultant mixture? Select.
A) 17 : 3  B) 9 : 1  C) 3 : 17  D) 5 : 3  E) 11: 2

Solution: rom the beginning;   Initially milk to water is 12l : 8l   remove half 6 - 4   add 10l milk 16 - 4   remove half 8 - 2   add 10l milk 18 - 2   18:2 = 9:1   ANSWER:9 : 1
Answer: B
We are required to form different words with the help of letters of the word INTEGER. Let m1 be the number of words in which I and N are never together and m2 be the number of words which begin with I and end with R, then what is the value if m1/m2? Choose the correct choice from the following options.
A) 18
B) 24
C) 30
D) 36
E) 40

Solution: Total possible combination without any restriction:- 7!/2! (E is mentioned two times in the word INTEGER, hence we are dividing by 2!)   Total Possible combination when letter 'I' and 'N' are together- 6!*2/2! (Think of I and N as one, hence total letters are 6, but I and N can be written in two ways- IN and NI- that is why we multiplied 6!*2)   Total possible combination when letter 'I' and 'N' are not together, i.e. m1= 7!/2! - 6!*2/2!= 6!*5/2   Now fix 'I' and 'R', then total possible combination, i.e m2, are= 5!/2!   m1/m2= 6!*5/2/5!/2= 30   Answer is '30'
Answer: C
In a group of 130 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?  Choices
A) 0.31 B) 0.55 C) 0.65 D) 0.75 E) 0.85

Solution: Number of people whose age is less than 20 is given by   130 - 90= 
130 - 90 = 40
40   Probability P that a person selected at random from the group is less than 20 is given by   40 / 130= 0.31   correct answer 0.31
Answer: A
A train crosses a bridge of length 200 m in 10 seconds and a lamp post on the bridge in 5 seconds. What is the length of the train in metres?	Choices
A) 375 m  B) 750 m  C) 200 m  D) 800 m  E) 300 m

Solution: Let Length of Train = L   Case-1: Distance = 200+L (While crossing the bridge)   Time = 10 Seconds   i.e. Speed = Distance / Time = (200+L)/10   Case-2: Distance = L (While passing the lamp post)   Time = 5 Seconds   i.e. Speed = Distance / Time = (L)/5   But Since speed has to be same in both cases so   (200+L)/10 = (L)/5   i.e. 2L = L + 200   i.e. L = 200   Answer: option 200 m
Answer: C
50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what Q percent of the apartments with windows have hardwood floors?	Options:
A) 10	B) 16 2/3	C) 40	D) 50	E) 83 1/3

Solution: yup you need to construct a matrix   X********| Windows'|No Windows'''| total   hardFl****'|50*****''|10*********'|60   Not hardFl*|10******|30*********'|40   Total*****|60******'|40*********'|100   so Q percent of the apartments with windows have hardwood floors = 50/60 *100   = 83 1/3   so 83 1/3 is the answer.[/u]
Answer: E
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?  Select the correct option:
A) 16  B) 18  C) 24  D) 22  E) 26

Solution: C   24   Let the required number of days be x.   Less men, More days (Indirect Proportion)   27 : 36 :: 18 : x <-> 27 x x = 36 x 18   x = (36 x 18)/27   x = 24
Answer: C
How many integerskgreater than 100 and less than 900 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k+99?	Choices:
A) 50  B) 60  C) 70  D) 80  E) 90

Solution: Numbers will be like 102 => 201 = 102 + 99   203 => 302 = 103 + 99   so the hundereth digit and units digit are consecutive where unit digit is bigger than hundred digit.   There will be seven pairs of such numbers   for every pair there will 10 numbers like for 12 => 102, 112,132,142,152, 162,172,182,192.   Total = 7 *10= 
7 *10 = 70
70 hence 70.
Answer: C
If B + L < B - L < L - B, which of the following is correct?
Answers:
A) L < B < 0.
B) B < L < 0.
C) B < 0 < L.
D) 0 < B < A.
E) B > A > 0.

Solution: Check first inequality   B < L < 0. + L < B < L < 0. - L   L<-L   L is -ve   Check another equality   B < L < 0. - L < L - B < L < 0.   -2L<-2B < L < 0.   L>B < L < 0.   Combining both 0>L>B < L < 0.   Option B < L < 0. fits only   Ans B < L < 0.
Answer: B
30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen. Choose the correct choice from the following answers:  A) 10  B) 11  C) 12  D) 13  E) 14

Solution: Since average price of a pencil = 2   ∴ Price of 75 pencils = 150   ∴ Price of 30 pens = (510 – 150) = 360   ∴ Average price of a pen = 360⁄60 = 12   Answer 12
Answer: C
The product of two numbers is 1320 and their H.C.F is 6.The L.C.M of the numbers is Choose the correct answer
A) 220  B) 1314  C) 1326  D) 7920  E) None

Solution: Solution   L.C.M	= product of numbers / H.C.F   ‹=› 1320 / 6= 
1320 / 6 = 220
›220.   220nswer 220
Answer: A
jaya two digits age when appended with the two digits age of amitabh the four digits number formed is a perfect square.what is the the sum of the four digits no.? Answers
A) 6  B) 7  C) 8  D) 9  E) 10

Solution: Min no could be = 7 (1024)   let jaya has two digits number= 10   and amitabh has two digits number=24   after appending=1024 which is perfect square of 32   and sum of four digits number 1024=7   ANSWER:7
Answer: B
The average of runs of a cricket player of 10 innings was 33. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
Choose the correct answer.
A) 77  B) 79  C) 85  D) 87  E) 89

Solution: Explanation:   Average = total runs / no.of innings = 33   So, total = Average x no.of innings = 33 x 10 = 330.   Now increase in avg = 4runs. So, new avg = 33+4= 
33+4 = 37
37runs   Total runs= new avg x new no. of innings = 37 x 11 = 407   Runs made in the 11th inning = 407 - 330= 
407 - 330 = 77
77 77nswer: 77
Answer: A
The weights of three boys are in the ratio 4:5:6. If the sum of the weights of the heaviest and the lightest boy is 45 kg more than the weight of the third boy, what is the weight of the lightest boy?	Answers
A) 27 kg. B) 36 kg. C) 82 kg. D) 98 kg. E) 83 kg.

Solution: Let the weights of the three boys be 4k, 5k and 6k respectively.   4k + 6k = 5k + 45   => 5k = 45 => k = 9   Therefore the weight of the lightest boy = 4k = 4 * 9= 
4 * 9 = 36
36 kg.   Answer:36 kg.
Answer: B
If (A+B) = 16, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?  Choose the correct choice from the following options
A) 10.
B) 8.
C) 7.
D) 2.
E) -2.

Solution: Given A+B = 16 => A = 16 - B --> Eq 1   B+C = 9   C+D = 3 => D = 3 - C --> Eq 2   Then Eqs 1 + 2 => A + D = 16 - B + 3 - C   => 19 - (B+C)   => 19 - 9= 
19 - 9 = 10
10.   Option 10....
Answer: A
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 24% home electronics; 20% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Choose the correct choice from the following.
A) 8° B) 10° C) 18° D) 36° E) 52°

Solution: 14% microphotonics;   24% home electronics;   20% food additives;   29% genetically modified microorganisms;   8% industrial lubricants;   100-(14+24+20+29+8)= 
100-(14+24+20+29+8) = 5
5% basic astrophysics.   5% of 360° is 18°.   Answer: 18°.
Answer: C
If the price of a TV is first decreased by 20% and then increased by 45%, then the net change in the price will be :	Select the correct option.
A) 4% increase
B) 10% increase
C) 10% decrease
D) 16% increase
E) None of these

Solution: Explanation :   Solution: let the original price be Rs. 100.   New final price = 145% of(80% of 100) =Rs. 145/100 * 80/100 * 100 = Rs. 116.   .'. Increase = 16%   Answer : 16% increase
Answer: D
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:	Choose the correct choice from the following options:
A) 40%
B) 44%
C) 45%
D) 48%
E) 50%

Solution: Let original length = x metres and original breadth = y metres.   Original area = (xy) m2.   New length = 120	x	m	= 6	x	m.   100	5   New breadth = 120	y	m	= 6	y	m.   100	5   New Area = 6	x x	6	y	m2	= 36	xy	m2.   5	5	25   The difference between the original area = xy and new-area 36/25 xy is   = (36/25)xy - xy   = xy(36/25 - 1)   = xy(11/25) or (11/25)xy   Increase % = 11	xy x	1	x 100	%	= 44%.   25	xy   44%
Answer: B