MU-NLPC/Calc-aqua_rat huggingface dataset:
A certain computer manufacturing firm last year produced 82 percent of its computers using parts made by its subsidiary company. If the remaining 10,890 computers were produced using parts purchased from another parts manufacturer, how many computers were produced by the computer manufacturing firm altogether?	Choose the correct choice:
A) 60000  B) 60100  C) 60500  D) 72000  E) 74000

Solution: 82% parts used of subsidary company, so 18% parts used of other companies.   Now, 18% parts = 10,890 computers   So, 1% parts = 10,890/18   Or, 100% parts = 60,500 computers.   Hence answer is (60500)
Answer: C
A trader cheats both his supplier and customer by using faulty weights. When he buys from the supplier, he takes 10% more than the indicated weight. When he sells to his customer, he gives the customer a weight such that 10% of that is added to the weight, the weight claimed by the trader is obtained. If he charges the cost price of the weight that he claims, find his profit percentage. Select the correct option
A) 20%
B) 21%
C) 21.33%
D) 22.109%
E) 23%

Solution: Lets say the indicated weight is x for $10   but the trader actually get 1.1x for $10   now he tells to the customer that its 1.1(1.1x) = 1.21x and charges the price accordingly i.e. 1.21x * 10/ x = 12.1   so profit % = (12.1-10)/ 10= 
(12.1-10)/ 10 = 0.21
0.21= 21%   ANSWER:21%
Answer: B
In N is a positive integer less than 200, and 18N/60 is an integer, then N has how many different positive prime factors? Answers:
A) 2
B) 3
C) 5
D) 6
E) 8

Solution: (A).   18n/60 must be an integer. => 3n/10 must be an integer. Hence n must be a multiple of 2*5.   => n has 2 different prime integers .
Answer: A
A Bus travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. The average speed of the Bus is ?  Choose the correct choice from the following choices:	A) 48 kmph	B) 78 kmph	C) 28 kmph	D) 18 kmph	E) 98 kmph

Solution: Explanation:   we know that speed = distance traveled/time taken   let the total distance traveled by the car is 2x km.   then time taken by it to cover first half is hour.   and for second half is hour.   Then average speed= total distance travelled / total time taken.   i.e.   =>   = 48 kmph.   48 kmphnswer: 48 kmph
Answer: A
Mary works in a restaurant a maximum of 40 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?	Choices:
A) 300
B) 420
C) 360
D) 320
E) 400

Solution: Mary receives $8(20)=$160 for the first 20 hours.   For the 20 overtime hours, she receives $8(0.25) +$8 = $10 per hour, that is $10(20)=$200.   The total amount is $160+$200 = $360   Answer 360 360.160+ 200= 
160+ 200 = 360
$360   Answer 360 360.
Answer: C
Of the four numbers, whose average is 75, the first is one-fourth of the sum of the last three. The first number is ?	Choose the correct answer:
A) 60
B) 29
C) 11
D) 48
E) 10

Solution: Explanation:   Let the first number be x,   Then, sum of the four numbers = x + 4x = 5x.   so, 5x/4 = 75 or x = (75 * 4) / 5= 
(75 * 4) / 5 = 60
60   60nswer: 60
Answer: A
A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
Choose the correct answer.
A) 12 ½ years  B) 62 ½ years  C) 18 ½ years  D) 72 ½ years  E) 12 ½ years

Solution: 100 ---- 200 ---- 5   200 ---- 5   100 ---- 2 1/2   ------------------   600 ---- 12 ½ years   12 ½ yearsnswer:12 ½ years
Answer: A
If |a+b|=|a-b|, then a*b must be equal to:  Select the correct option
A) 1	B) -1	C) 0	D) 2	E) -2

Solution: so, let b≠0b≠0   Distance of aa from bb, equals the distance of aa from -bb   Draw this on a number line, aa must equal zero   same logic holds for a≠0a≠0   So either aa or bb = 0, ab=0ab=0   or just solve using our normal absolute value method, two cases:   (a+b)=(a−b)(a+b)=(a−b)   b=0   −(a+b)=(a−b)−(a+b)=(a−b)   −a−b=a−b−a−b=a−b   a=0   so ab=0   ANSWER:0
Answer: C
The arithmetic mean of the 9 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 4?	Choose one:
A) 2 + s + a
B) 22 + a
C) 2s
D) 2a + 2
E) 2 + a

Solution: (9s+36)/9=s+4=a   (9s+54)/9=s+6=2+a   2 + a
Answer: E
A type Q machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type Q machines and 3 type B machines working together and independently to complete the job?  Select.
A) 1/5 B) 29/35 C) 5/6 D) 35/29 E) 35/12

Solution: now D should be the answer.   Q need 5 hours to complete   and B needs 7 hours to compete   so 2Q + 3B will complete 2/5 + 3/7 or 29/35 portion of the job in 1 hour   so the whole job will take 35/29 hours....=35/29
Answer: D
Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 00,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance.
What is the distance traveled by each tyre?  Choose the correct choice from the following answers:
A) 70,000
B) 60,000
C) 80,000
D) 90,000
E) 10,000

Solution: C   80,000.   The distance traveled by each tyre:   4/5 * 1, 00, 000km = 80,000 km.
Answer: C
Pam and Cathy begin running at the same time on a straight path. Pam runs at 10 miles per hour, and Cathy runs at 8 miles per hour. After 45 minutes, Pam stops to stretch. If it takes Pam 30 minutes to stretch and Cathy continues to run during this time, how many minutes will it take Pam to catch up to Cathy assuming Pam resumes running at 10 miles per hour?
Choose the correct option: A) 30 minutes B) 40 minutes C) 45 minutes D) 60 minutes E) 75 minutes

Solution: After 45 mins   Pam would have covered  45/60 * 10= 
 45/60 * 10 = 15/2 = around 7.5
7.5 miles   Cathy would have covered  45/60 * 8= 
 45/60 * 8 = 6
6 miles   Pam does 30 minutes of stretching .. so after 75 mins   Pam would still be at 7.5 miles   Cathy would have covered  75/60 * 8= 
 75/60 * 8 = 10
10 miles.   So after 75 mins Cathy is 2.5 miles ahead.   ANSW75 minutesR:75 minutes
Answer: E
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Choose the most appropriate option:
A) 25200.
B) 26200
C) 28000
D) 29000
E) 30000

Solution: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)   =7 x 6 x 5/3 x 2 x 1 x	4 x 3	/2 x 1   = 210.   Number of groups, each having 3 consonants and 2 vowels = 210.   Each group contains 5 letters.   Number of ways of arranging   5 letters among themselves	= 5!   = 5 x 4 x 3 x 2 x 1   = 120.   Required number of ways = (210 x 120) = 25200.   25200.nswer: 25200.
Answer: A
Alex deposited x dollars into a new account that earned 10 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ? Select the correct option:
A) w/(1+1.08)  B) w/(1.08+1.16)  C) w/(1.16+1.24)  D) w/(1.10+1.10^2)  E) w/(1.08^2+1.08^2)

Solution: Account at the end of the first year would be 1.10x dollars. At this time x dollars was deposited, hence the account at the beginning of the second year would be (1.10x+x) dollars. Account at the end of the second year would be (1.10x+x)*1.10=w --> x(1.10^2+1.10)=w --> x=w/(1.10+1.10^2).   Answer: w/(1.10+1.10^2).
Answer: D
If UVW= 1 , WXY = 0 , and UWX = 0, which of the following must be zero?	Choose the correct choice from the following options: A) U B) V C) W D) X E) Y

Solution: UVW= 1 which means neither U / V/ W is 0   W x XY = 0 , we know W is not 0 from above hence either X or Y must be 0.   X x U x W = 0, we know from first expression that U and W are not 0 hence X =0.   OPTION X
Answer: D
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 answers.
A) 50  B) 120  C) 100  D) 60  E) 40

Solution: Explanation:   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
1398 x 1398 = ?	Pick one
A) 1624404  B) 1851404  C) 1951404  D) 1954404  E) None of these

Solution: Explanation :   1398 x 1398   = (1398)2   = (1400 - 2)2   = 14002 - (2 × 1400 × 2) + 22   = 1960000 - 5600 + 4= 
1960000 - 5600 + 4 = 1_954_404
1954404. Answer : Option 1954404
Answer: D
Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $100, what was the final price of the sweater?
Choose the correct answer.
A) $25.75 B) $52.5 C) $15.75 D) $ 45.75 E) $18.75

Solution: The price with 30% off   100 - 30% of 100 = 100 - (30 / 100) *100= 
100 - (30 / 100) *100 = 70
70   The price with another 25% off   70 - 25% of 70= 70 - (25/100)* 70= 
70 - (25/100)* 70 = 105/2 = around 52.5
$52.5   correct answer $52.5
Answer: B
If the average marks of three batches of 55, 60 and 45 students respectively is 45, 55, 60, then the average marks of all the students is:  Select.
A) 53.33  B) 54.68  C) 52.97  D) 56  E) None of these

Solution: Explanation:   Required average = (55 × 45 + 60 × 55 + 45 × 60/55 + 60 + 45)   = (2475 + 3300 + 2700/160)   = 8475/160   = 52.97   Answer: 52.97
Answer: C
The annual income of Puja, Hema and Jaya taken together is Rs. 46,000. Puja spends 70 % of income, Hema spends 80 % of her income and Jaya spends 92 % of her income. If their annual savings are 15 : 11 : 10, find the annual saving of Puja?	Choose the correct choice from the following options
A) 10, 000 /-
B) 12, 000 /-
C) 17, 500 / -
D) 25, 000 /-
E) NONE OF THE ABOVE

Solution: EXPLANATION:   Suppose income of Puja, Hema and Jaya are Rs A, Rs B and Rs C.   Annual income given is Rs 46, 000   If 70 % income is spent by Puja, then that means she saves 30 % (0.3). Similarly, Hema saves 20 % (0.2) and Jaya saves 8 % (0.08)   Given ratio of their annual savings are 15 : 11 : 10   (0.310, 000 /-)/15	=	(0.2B)/11	=	(0.08C)/10	=	10, 000 /-/50	=	B/55	=	C/125   =	10, 000 /-/10	=	B/11	=	C/25	=	(10, 000 /- + B + C)/(10+11+25)	=	46000/46----(Since, 10, 000 /-+B+C=46000)   =1000   From this equation, we can   10, 000 /- = 1000 x 10 = 10,000   B = 1000 x 11 = 11,000   C = 1000 x 25 = 25000   10, 000 /-NSWER IS 10, 000 /-
Answer: A
Three numbers are in the ratio 4 : 5 : 6 and their average is 30 . The largest number is:  Pick one
A) 28 B) 32 C) 36 D) 42 E) 45

Solution: Explanation:   Let the numbers be 4x, 5x and 6x. Therefore,   (4x+5x+6x)/3 = 30   15x = 90   x = 6   Largest number = 6x = 36.   ANSWER 36
Answer: C
A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 208 customers. How many more new tables than original tables does the restaurant have?	Choose the correct answer.
A) 8  B) 12  C) 16  D) 20  E) 24

Solution: If all the tables seated 4, the number of customers could be  4*40= 
 4*40 = 160
160.   208-160= 
208-160 = 48
48, so  48/2= 
 48/2 = 24
24 tables must be new tables seating 6 people.   The number of tables seating 4 people is   40-24= 
  40-24 = 16
16.   The number of new tables is  24-16= 
 24-16 = 8
8 more than the number of old tables.   The answer is 8.
Answer: A
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?  Choose the correct choice from the following answers.
A) 814  B) 820  C) 840  D) 844  E) 548

Solution: Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.   Area of each tile = (41 x 41) cm2.   Required number of tiles =1517 x 902/(41^2)= 814.   814NSWER:814
Answer: A
In a consumer survey, 90% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?  Choose the correct choice from the following choices.
A) 5 B) 10 C) 15 D) 20 E) 25

Solution: pick 100 and x= all set with exactly two items   90=30+50+20 -(X)-10   X=0   so the answer is 0+5/100= 5%   5nswer 5
Answer: A
Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is Options: A) 1 B) 3 C) 4 D) 0 E) 2

Solution: 4 points are possible in which 1 point is the incentre of the circle and other 3 are excentres   ANSWER:4
Answer: C
If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 2 years would be Choose one.
A) (1.5)^4 B) 4(1.5) C) (1.05)^2 D) 1 + (0.05)^4 E) 1 + 4(0.05)

Solution: f John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 2 years would be   1(1.05)^2   1.05^2   C. (1.05)^2
Answer: C
If f=(10^10)-47, what is the sum of all the digit of f?  Choices: A) 40 B) 45 C) 50 D) 55 E) 80

Solution: Start small and check for any pattern:   10^2 - 47 = 53 -> number of digits = power of 10; number of 9s = (power of 10) - 2; 53 is the last 2 digits   10^3 - 47 = 953 -> number of digits = power of 10; number of 9s = (power of 10) - 2; 53 is the last 2 digits   ...extrapolate   10^10 - 47 -> number of digits = 10; number of 9s = 8; 53 will be the last 2 digits   f= 9*8 + 5 + 3= 
9*8 + 5 + 3 = 80
80.   Answer (80).
Answer: E
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?  Options
A) 6 kmph B) 9 kmph C) 3 kmph D) 8 kmph E) 1 kmph

Solution: Speed downstream = d/t = 85/(2 1/2)   = 34 kmph   Speed upstream = d/t = 45/(2 1/2)   = 18 kmph   The speed of the stream = (34 - 18)/2= 
(34 - 18)/2 = 8
8 kmph   Answer:8 kmph
Answer: D
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 138 m length? Choose the correct answer:
A) 82.1 sec. B) 12.4 sec C) 19.1 sec. D) 17.1 sec. E) 42.1 sec.

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 138= 
110 + 138 = 248
248 m.   Required time= 248/20= 
248/20 = 62/5 = around 12.4
12.4 sec.   Answer: 12.4 sec
Answer: B
There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ?  Choose the correct choice from the following answers
A) Rs. 618
B) Rs. 612
C) Rs. 622
D) Rs. 616
E) Rs. 630

Solution: Explanation:   Let the average expenditure per head be Rs. p   Now, the expenditure of the mess for old students is Rs. 44p   After joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3   Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33   Therefore, 59(p-3) = 44p + 33   59p - 177 = 44p + 33   15p = 210   => p = 14   Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.   Answer: Rs. 616
Answer: D
A truck carrying cans of paint contains P stacks. Each stack contains P/4 cases, and each case contains 12 cans. How many cans of paint are contained in 7 trucks? Choose the correct option.
A) P^2/21	B) P^2/336	C) 336	D) 21/P^2	E) 21P^2

Solution: There are 12 cans in each case.   There are 3P cans in each stack.   There are 3P^2 cans in each truck.   There are 21P^2 cans in 7 trucks.   The answer is 21P^2.
Answer: E
Look at this series: 97, 97, 97, 81, 81, 81, 65, 65, 65 ... What number should come next?
Select:
A) 45
B) 33
C) 43
D) 38
E) 36

Solution: Explanation:   In this series, each number is repeated, then 16 is subtracted to arrive at the next number.   Answer: Option 33
Answer: B
In a clothing store, there are six different colored neckties ( orange, yellow, green, blue, and indigo) and five different colored shirts ( orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color?	Choices.
A) 719/720
B) 1/120
C) 2/233
D) 3/543
E) 1/720

Solution: 5 ties and 5 shirts...   red tie can take any of 5 shirts..   orange can take any of the remaining 4 shirts   yellow any of remaining 3..   and so on till last indigo chooses the 1 remaining..   Total ways= 5*4*3*2*1= 
5*4*3*2*1 = 120
120   out of this 120, ONLY 1 way will have same colour tie and shirt..   prob= 1/120   1/120
Answer: B
A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio?  Choose the correct option: A) 16:18 B) 16:13 C) 16:15 D) 16:12 E) 16:11

Solution: For an income of Re. 1 in 9% stock at 96, investment   = Rs. 96/9 = Rs.32/3   For an income Re. 1 in 12% stock at 120, investment   = Rs. 120/12 = Rs. 10.   Ratio of investments =(32/3) : 10   = 32 : 30 = 16 : 15   Answer: 16:15
Answer: C
The length of the bridge, which a train 140 m long and traveling at 45 km/hr can cross in 30 sec is?  Choose the correct choice:  A) 377  B) 367  C) 235  D) 245  E) 267

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (140 + x)/30 = 25/2   x = 235 m.   Answer: 235
Answer: C
Find the one which does not belong to that group ? Choose the correct choice from the following answers:
A) 372	B) 630	C) 287	D) 192	E) 119

Solution: Explanation:   30 = 33 + 3, 630 = 54 + 5, 10 = 23 + 2, 520 = 83 + 8 and 130 = 53 + 5.   30, 10, 130 and 520 can be expressed as n3 + n but not 630.   Answer:630
Answer: B
There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 50% play football, how many play both?
Choose the correct answer:
A) 120	B) 150	C) 200	D) 180	E) 160

Solution: n(A) = 75*600/100= 
75*600/100 = 450
450   n(150)= 50*600/100= 
50*600/100 = 300
300   n(AU150)= 600   n(An150) = 450+300-600= 
450+300-600 = 150
150   Answer is 150
Answer: B
in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 12 people all together .how many people can sit in a bus?  Pick:
A) 52  B) 49  C) 95  D) 88  E) 93

Solution: Right Side =15 seat   Left Side =15-3 (3 few seat in right side)= 12 seat   Total= 15+12= 
15+12 = 27
27   People can seat in 27 seat= 27*3= 
27*3 = 81
81   People can seat in Last Seat= 12   Total People can seat= 81+12= 
81+12 = 93
93   ANSW93R:93
Answer: E
One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?	Choose the correct option
A) 8 B) 7 C) 1 D) 9 E) 6

Solution: Explanation:   x/2 â€“ x/3 = 6 => x =6   3 + 6= 
3 + 6 = 9
9   Answer: 9
Answer: D
A and B are working on an assignment. A takes 6 hours to type 32 pages on a computer, while B takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?	Choose the correct option:
A) 2 hours
B) 5 hours
C) 6 hours
D) 8 hours
E) 3 hours

Solution: Number of pages typed by A in one hour=32/6=16/3   Number of pages typed by B in one hour=40/5= 
40/5 = 8
8   Number of pages typed by both in one hour=((16/3)+8)=40/3   Time taken by both to type 110 pages=110*3/40=8 hours.   Answer : 8 hours.
Answer: D
In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes
Choose the correct choice from the following choices:  A) 16800  B) 15800  C) 16700  D) 15700  E) None of these

Solution: Explanation:   Let the total number of votes enrolled are x.   Number of votes cast = 75% of x   Valid votes = 98% of 75% of x   Now, as 9261 is the 75% of valid casted votes so,   75% of 98% of 75% of x = 9261 [imporant]   =>75×98×75×x / 100×100×100=9261=>x=16800   Option 16800
Answer: A
Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,500 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees? Options.
A) 38,000 B) 40,000 C) 42,500 D) 45,500 E) 48,500

Solution: Median is just the value in the middle when you arrange all values in the ascending order   In this question, the 7th value would be the median (Since there are 13 employees)   38, 40, 40, 40, 42.5, 42.5,45.5   So, answer is 45,500.
Answer: D
A man can row with a speed of 15 kmph in still water. If the stream flows at 15 kmph, then the speed in downstream is?  Choose the correct option.
A) A)25 B) B)30 C) C)20 D) D)21 E) E)18

Solution: M = 15   S = 15   DS = 15 + 15= 
15 + 15 = 30
30   Answer:30
Answer: B
A box contains 4 black, 3 red and 6 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?	Choose one.
A) 24/78	B) 24/709	C) 24/76	D) 24/71	E) 24/72

Solution: Explanation:   Total marbles in a box = 4 black + 3 red + 6 green marbles = 13 marbles   2 marbles are drawn from 13 marbles at random. Therefore,   n(S) = 13C2 = 78 ways   Let A be the event that 2 marbles drawn at random are of the same color. Number of cases favorable to the event 24/78 is   n(24/78) = 4C2 + 3C2 + 6C2 = 6 +3 + 15= 
6 +3 + 15 = 24
24   Therefore, by definition of probability of event 24/78,   P(24/78)= n(24/78)/n(S) = 24/78   24/78NSWER:24/78
Answer: A
A number is increased by 40 % and then decreased by 40 %. Find the net increase or decrease per cent.	Options
A) 19% B) 18% C) 17% D) 13% E) 16%

Solution: Let the number be 100.   Increase in the number = 40 % = 40 % of 100   = (40/100 × 100)   = 40   Therefore, increased number = 100 + 40= 
100 + 40 = 140
140   This number is decreased by 40 %   Therefore, decrease in number= 40 % of 140   = (40/100 × 140)   = 5600/100= 
5600/100 = 56
56   Therefore, new number= 140 - 56= 
140 - 56 = 84
84   Thus, net decreases= 100 - 84= 
100 - 84 = 16
16   Hence, net percentage decrease= (16/100 × 100) %   = (1600/100)= 
(1600/100) = 16
16 %   Answer:16%
Answer: E
If C is a whole number, C+1 is a whole number after that. If A is a whole number, what is a whole number before that?  Choose the most appropriate option.
A) 7  B) 1  C) 2  D) 3  E) 0

Solution: We know that the number ‘0’ together with the natural numbers gives us the numbers 0, 1, 2, 3, 4, 5, …………… which are called whole numbers.   If A is a whole number and it is greater than 0 then the whole number before that is A – 1, which will always be a whole number.   Again, when A is a whole number and it is equal to 0 then the whole number before that is A – 1 which means 0 – 1 = -1, which is not a whole number.   Therefore, if A is a whole number then the number before that will not always be a whole number.   Answer:1
Answer: B
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water? Choose the most appropriate option:
A) 6
B) 5
C) 8
D) 9
E) 1

Solution: S = 4   M = x   DS = x + 4   US = x - 4   6/(x + 4) + 6/(x - 4) = 2   x = 8   Answer: 8
Answer: C