MU-NLPC/Calc-aqua_rat huggingface dataset:
A square mirror has exactly half the area of the rectangular wall on which it is hung. If each side of the mirror is 18 inches and the width of the wall is 32 inches, what is the length of the wall, in inches? Choose one.
A) 15.25	B) 18.25	C) 19.25	D) 20.25	E) 21.25

Solution: Since the mirror is 42 inches in all sides, it must be a square. Area of a square is A=a^2; 18^2=324.Area of rectangle is double of that 2 *324= 
2 *324 = 648
648.Now A=lw and we need find w so A/l=w ; 648/32= 
648/32 = 81/4 = around 20.25
20.25 Answer!   Answer is 20.25
Answer: D
If four coins are tossed, the probability of getting two heads and two tails ?
Choose one:	A) 3/8	B) 3/7	C) 3/86	D) 3/5	E) 3/2

Solution: Since four coins are tossed, sample space = 24   Getting two heads and two tails can happen in six ways.   n(E) = six ways   p(E) = 6/24 = 3/8   3/8nswer: 3/8
Answer: A
in how man ways team of four can be formed from four boys and three girls such that atleast one boy and one girl should be there?
Choose the correct choice from the following answers:
A) 33
B) 34
C) 35
D) 36
E) 37

Solution: One boy and one girl can be selected as (one boy & three girls) or (two boys & two girls) or (three boys & one girl)=(4C1*3C3)+(4C2*3C2)+(4C3*3C1)=4+18+12= 
4+18+12 = 34
34   ANSWER:34
Answer: B
A dice has one of the first 10 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 8 times and the results added.the addition is most likely to be closet to Options:
A) 100  B) 120  C) 103  D) 105  E) 70

Solution: if die is rolled then avg score = (2+ 3+ 5+ 7+ 11+ 13+ 17+19+ 23+ 29 )/10 = 129/10   so, most likely sum for 8 times = 129/10 *8 = 103   ANSWER:103
Answer: C
A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg. At what rate should he sell the mixture to gain 21%?	Answers
A) 17 per kg
B) 18.15 per kg
C) 16.5 per kg
D) 16 per kg
E) None of these

Solution: C.P. of 200 kg of mixture = (80 × 13.50 + 120 × 16)   = 3000.   S.P. = 121% of 3000 = (121⁄100 × 3000) = 3630   ∴ Rate of S.P. of the mixture = (3630⁄200) per kg   = 18.15 per kg.   Answer 18.15 per kg
Answer: B
A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.306 less than the sum lent. What was the sum lent?
Choose the correct choice from the following options:
A) 228
B) 278
C) 289
D) 500
E) 450

Solution: P - 306 = (P*4*8)/100   P = 450   Answer: 450
Answer: E
There are 408 boys and 216 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.	Pick.
A) 26
B) 32
C) 35
D) 30
E) 45

Solution: Explanation:   HCF (408, 216) = 24   The number of boys or girls that can be placed in a section = 24.   Thus the total number of sections is given by   408/24+216/24 =17+9= 
17+9 = 26
26   26nswer: 26
Answer: A
The average earning of a for the first 4days of a week is Rs18 and for the last four days is Rs20. If he earns Rs.20 on the fourth day, his average earning forthe whole week is?	Choose the correct choice.
A) Rs. 10  B) Rs. 20  C) Rs. 30  D) Rs. 40  E) Rs. 50

Solution: Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day   = 4 x18 + 4 x 22 -20   = Rs. 140   ∴ Average earning = 140 / 7   = Rs. 20   Rs. 20
Answer: B
Bruce and Bhishma are running on a circular track of length 600m. Speed of Bruce is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?
Choices
A) 60 sec  B) 70 sec  C) 80 sec  D) 90 sec  E) 100 sec

Solution: Actually Arjun has to make a lead of 600 m, because when Arjun will be 600m ahead of Bhishma, they will be together again as a person when completes the total length it starts retracing he same path and thus Arjun and Bhishma can be together again.   Since , they make a difference of 10 m in 1 second. so, he will create 600m difference in 60 second.   90 sec
Answer: D
By looking at a rectangular box, a carpenter estimates that the length of the box is between 2 to 2.1 meters, inclusive, the breadth is between 1 to 1.1 meters, inclusive and the height is between 2 to 2.1 centimeters, inclusive. If the actual length, breadth and height of the box do indeed fall within the respective ranges estimated by the carpenter, which of the following is the closest to the maximum possible magnitude of the percentage error T that the carpenter can make in calculating the volume of the rectangular box?  Answers: A) 1% B) 3% C) 10% D) 18% E) 22%

Solution: the dimensions are between 2-2.1, 1-1.1 and 2-2.1..   so MAX error in Volume=?..   IMPORTANT POINTS TO NOTE   1) Max ERROR would be when actuals and estimate are at the extreme ends..   2) BUT what about MAX % ERROR--   It will be when the base is the lowest...   so the ACTUALS should be lowest or at lower end and the ESTIMATE at the higher end..   SOLUTION   Actuals= 2*2*1=4..   Estimate=2.1*2.1*1.1=4.841..   Max % error T=(4.841-4)/4 *100= 84.1/4 = 21.25%..   21.25% is closest to 22% in the choices..   ans 22%
Answer: E
The following list follows a peculiar pattern. Can you find it out and guess the next number?
2, 12, 36, 80, 150, 252, ?  Choose the correct choice from the following options:  A) 391  B) 392  C) 393  D) 394  E) none

Solution: Solution:   The next number is 392.   The first number = (Square of 1 + Cube of 1)   The second number = (Square of 2 + Cube of 2)   The third number = (Square of 3 + Cube of 3)   The fourth number = (Square of 4 + Cube of 4)   The fifth number = (Square of 5 + Cube of 5)   The sixth number = (Square of 6 + Cube of 6)   Therefore, the seventh number will be   Square of 7 + Cube of 7 = 392.   Answer 392
Answer: B
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?
Pick one: A) 7000 B) 8000 C) 8800 D) 8900 E) 9000

Solution: State A and State B had an equal number of candidates appeared.   In state A, 6% candidates got selected from the total appeared candidates   In state 8000, 7% candidates got selected from the total appeared candidates   8000ut in State 8000, 80 more candidates got selected than State A   From these, it is clear that 1% of the total appeared candidates in State 8000 = 80   => total appeared candidates in State 8000 = 80 x 100 = 8000   => total appeared candidates in State A = total appeared candidates in State 8000 = 8000
Answer: B
At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Dhoni ,Kamal, Baskar, and Dinesh get lockers with the numbers 100, 400, 150, and 25, respectively, who is the most popular student?  Choose the correct choice from the following answers
A) Dhoni  B) Baskar  C) Kamal  D) Dinesh  E) They have equal popularity

Solution: Distinct prime factors of 100 (Dhoni) : 2,5   Distinct prime factors of 400 (Kamal): 2 and 5.   Distinct prime factors of 150 (Baskar): 2,3, and 5   Distinct prime factors of 25 (Dinesh): 5.   So most popular student - Dinesh   Answer Baskar
Answer: B
A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many acres Q were used for corn? Choose the correct choice from the following answers
A) 188  B) 258  C) 376  D) 470  E) 517

Solution: consider 5x acres of land used for bean   consider 2x acres of land used for wheat   consider 4x acres of land used for corn   Total given is 1034 acres   11x =1034   x = 94   land used for corn Q= 4 * 94= 
4 * 94 = 376
376   correct option - 376
Answer: C
n denotes the number obtained when n is rounded to the nearest tenth.
For example 4.31 = 4.3
0.089 - 1.135 =	Choose the correct choice from the following answers.
A) 1.05
B) 1.04
C) -1.05
D) -1.0
E) -0.1

Solution: Here Let the first quantity be A=> A rounded to nearest tenths => 0.1   Similarly let the second quantity be B => B rounded to nearest tenths => 1.1=> A-B=0.1-1.1=-1   Hence A-B=-1   ANSWER:-1.0
Answer: D
Jim began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Jim?  Choose the correct choice from the following choices:
A) 35  B) 55  C) 39  D) 40  E) 60

Solution: Carla starts 30 minutes later and it takes 3 hr for carla to meet Jim   So Jim total time travelled = 3hr + 30= 
+ 30 = 30
30 * (3 1/2)= 105   so carla need to travle 105 to meet Jim in 3 hrs   speed of carla = 105/3= 
105/3 = 35
35 miles per hour   35nswer is 35
Answer: A
(2-x)^(x^2)=1^3x
What is the value of x ?
Select the correct option:
A) 2  B) 3/2  C) 1  D) 3  E) 0

Solution: (2-x)^(x^2)=1   2-x=1   x = 1   Ans: 1
Answer: C
City A to city B, Andrew drove for 1hr at 46 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Answers:	A) 56.5	B) 57.5	C) 61	D) 61.5	E) 62.5

Solution: The total distance is 1×46+3×60=226   And the total time is 4 hours. Hence,   56.5verage Speed=(Total Distance/Total Time)   =226/4= 
226/4 = 113/2 = around 56.5
56.5   56.5
Answer: A
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?  Choose the most appropriate option: A) 12/145 B) 36/145 C) 11/145 D) 31141 E) None

Solution: The probability that first ball is white:   =12C130C1=12C130C1   =1230=1230   =25=25   Since, the ball is not replaced; hence the number of balls left in bag is 29.   Hence, the probability the second ball is black:   =18C129C1=18C129C1   =1829=1829   Required probability,   =(25)×(1829)=(25)×(1829)   =36/145   36/145
Answer: B
A merchant purchased a jacket for $60 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 20 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?  Choose the correct choice: A) $0 B) $3 C) $4 D) $12 E) $15

Solution: $0ctual Cost = $60   SP = $0ctual Cost + Mark up   = $0ctual Cost + 20% SP   = 60*100/80   on sale SP = 80/100(60*100/80) = 60   Gross profit = $0   $0nswer is $0
Answer: A
Mary travels the first 9 hours of her journey at 40 mph speed and the remaining 6 hours at 30 mph speed. What is the average speed of Mary's travel in mph? Answers.
A) 32 mph
B) 34 mph
C) 36 mph
D) 35 mph
E) 31 mph

Solution: Explanation :   Average speed=Total Distance/Time.   Total distance travelled by mary = Distance covered in the first 9 hours + Distance covered in the next 6 hours.   Distance covered in the first 9 hours = 9Ã—40=360 miles   Distance covered in the next 6 hours= 6Ã—30=180 miles   Therefore, total distance travelled = 360+180= 
360+180 = 540
540 miles.   The total time taken= 9+6= 
9+6 = 15
15hours.   Hence, the average speed=540/15= 
540/15 = 36
36 mph.   Answer : 36 mph
Answer: C
For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 220 true?	Choose the correct choice from the following options:  A) 1  B) 3  C) 5  D) 6  E) 9

Solution: Answer 6   (a+b)(a-b)=220   6cases For (a+b), (a-b)   220, 1   110, 2   55, 4   44,5   22, 10   20,11   Answer 6
Answer: D
Instead of multiplying a number by 9, the number is divided by 9. What is the percentage of error obtained ?  Choose the correct choice from the following: A) 97.765% B) 99.765% C) 96.765% D) 95.765% E) 98.765%

Solution: let the number be x   the right number is 9x   the wrong number is x/9   error is(9x-x/9)=80x/9   percentage of error is((80x/9)/9x)*100=98.765%   ANSW98.765%R:98.765%
Answer: E
Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 5. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased?
Select the correct option:
A) 3, 8, 24
B) 7, 9, 17
C) 6, 9, 12
D) 5, 15, 18
E) 9, 10, 13

Solution: I didnt get your point on eliminating C.   The number of stamps only one purchased was divisible by 5.Could that not be Cecilia with 9 stamps.   I choose this and marked 6, 9, 12.
Answer: C
The length of a side of a hexagon is 10 inches. What is the perimeter? Options: A) 10 B) 20 C) 30 D) 40 E) 60

Solution: Hexagon. It means 6 equal sides.   p = 6(10)= 60 inches   Answer 60
Answer: E
A positive number x is multiplied by 8, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ? Choose the correct choice from the following answers:
A) 9/4 B) 3/2 C) 8/3 D) 2/3 E) 1/2

Solution: sq rt(8x/3) = x   => 8x/3 = x^2   => x = 8/3   Ans - 8/3
Answer: C
Two pipes A and B can fill a cistern in 20 and 40 minutes respectively, and a third pipe C can empty it in 80 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Select.
A) 19 1/7 min
B) 15 1/7 min
C) 17 1/7 min
D) 7 1/7 min
E) 16 min

Solution: 1/20 + 1/40 - 1/80 = 5/80   80/5= 
80/5 = 16
16   ANSW16 minR:16 min
Answer: E
A pharmaceutical company received $3 million in royalties on the first $30 million in sales of and then $9 million in royalties on the next $120 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $30 million in sales to the next $120 million in sales?	Select the correct option:
A) 8% B) 15% C) 25% D) 52% E) 56%

Solution: (9/120)/(3/30) = 3/4 = 75% it means that 9/120 represents only 75%. Therefore a decrease of 25%.   Answer 25%
Answer: C
A train covers a distance of 12 km in 10 min. If it takes 16 sec to pass a telegraph post, then the length of the train is?
Choose the most appropriate option:
A) 320 m	B) 188 m	C) 120 m	D) 178 m	E) 189 m

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec   = 20 m/sec.   Length of the train = 20 * 16= 
20 * 16 = 320
320 m.   320 mnswer:320 m
Answer: A
100 white and black tiles will be used to form a 20x20 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?	Select:
A) 75  B) 70  C) 85  D) 90  E) 95

Solution: Answer = 70   Please refer diagram below     90 - 20= 
  90 - 20 = 70
70
Answer: B
Find the remainder T when 12^190 is divided by 1729 ?	Select the correct option:	A) 12	B) 1	C) 1728	D) 1717	E) 4

Solution: 12^(190) can be written as. ((12^3)^63)* 12. 12^3 when divided by 1729 gives a remainder T-1. so in the numerator we have -12. Now acccording to remainder theorm the answer will be 1729-12=1717.1717
Answer: D
A mixture of 120 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture? Choose the most appropriate option:
A) 2 liters	B) 3 liters	C) 8 liters	D) 5 liters	E) 7 liters

Solution: Number of liters of water in120 liters of the mixture = 20% of 120 = 20/100 * 120= 
20/100 * 120 = 24
24 liters.   P liters of water added to the mixture to make water 25% of the new mixture.   Total amount of water becomes (24 + P) and total volume of mixture is (120 + P).   (24 + P)= 25/100 * (120 + P)   96+4P = 120+P   P = 8 liters.   Answer: 8 liters
Answer: C
Twelve dots are evenly spaced on the circumference of a circle. How many combinations of three dots can we make from these 12 dots that do not form an equilateral triangle? Choose one:
A) 208
B) 212
C) 216
D) 220
E) 224

Solution: The total number of ways we can choose three dots is 12C3=220.   We can form four equilateral triangles from these twelve dots.   There are  220 - 4= 
 220 - 4 = 216
216 combinations which do not form an equilateral triangle.   The answer is 216.
Answer: C
There are 4 bottles with the same number balls m respectively. If balls from only the 1-st bottle are moved to the other 3 bottles and finally the ratio of the numbers of balls in the bottles is 1 : 6 : 5 : 4, what fraction does the moved balls represent in terms of m? Select the correct option.
A) m/4
B) m/2
C) 3m/4
D) m
E) 4m/5

Solution: now it is 1:6:5:4..   let the common ratio be x, then total number = (1+6+5+4)*x...   but earlier all were distributed equally among all four =16x/4=4x   so m16 /4= 
16 /4 = 4
4x   so m=4/x OR x=m/4   what was the balls moved 4x-x=3x.. 4x was initial and present is 1*x   so 3x=3∗m/4=3 m/4   ANSWER:3m/4
Answer: C
Which of the following will divide evenly into 507,406,520?	Pick one:
A) 13 B) 11 C) 9 D) 3 E) 4

Solution: Rule:   4: Last two digits should be divisible by 4   the last two digits are 00, which are divisible by 4   Answer: 4
Answer: E
In a class there are 20 boys and 20 girls. In how many ways can a boy and a girl be selected? Pick one.
A) 400  B) 500  C) 600  D) 530  E) 630

Solution: Explanation:   We can select one boy from 20 boys in 20 ways.   We select one girl from 20 girls in 20 ways   We select a boy and girl in 20 * 20 ways i.e., = 400 ways.   400nswer: Option 400
Answer: A
A circular well with a diameter of 2 metres, is dug to a depth of 4 metres. What is the volume of the earth dug out? Pick.
A) 26 m³  B) 28 m³  C) 44 m³  D) 46 m³  E) None

Solution: Sol.   Volume = ∏r²h = [22/7 * 1 * 1 * 14= 
22/7 * 1 * 1 * 14 = 44
44m³   Answer 44 m³
Answer: C
If x^6 > x^9 > x^7, which of the following could be the value of x?	Select the correct option:
A) -6  B) -1/2  C) 2  D) 1/2  E) 6

Solution: x^6 > x^7 > x^9   1)Here we have an even power of a variable (x) that is greater than both a larger odd power of the variable x and a smaller odd power of the variable x.   This can be possible only if the base is negative; therefore, the variable, x, must be a negative number.   2) Now if the variable x is negative, the higher power results in a smaller number if x<-1, and a higher power results in a larger number if 0>x>-1.   With this information, we know that x is a negative number between 0 and -1; therefore, -1/2 (-1/2) is the only option.
Answer: B
A grocer has a sale of Rs. 8435, Rs. 8927, Rs. 8855, Rs. 9230 and Rs. 8562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 8500?	Choose the correct choice from the following answers:
A) s. 1991 B) s. 2991 C) s. 3991 D) s. 4991 E) s. 6991

Solution: Explanation:   Total sale for 5 months = Rs. (8435 + 8927 + 8855 + 9230 + 8562) = Rs. 44009.   Required sale = Rs. [ (8500 x 6) â€“ 44009 ]   = Rs. (51000 â€“ 44009)   = Rs. 6991.   Answer s. 6991
Answer: E
A furniture manufacturer has two machines, but only one can be used at a time. Machine K is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine K can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule? Answers:
A) 14	B) 13	C) 11	D) 9	E) 7

Solution: 'Approximately' could actually make such a question ambiguous. Not this one though but a similar question with the answer as 9.2 days. You round off 8.89 days as 9 days and everything is fine in this question. What do you do when you get 9.2 days? Do you need 9 days or 10 days? Can you round off 9.2 as 9 even though that is what you do with numbers? No, because in 9 days your work is not over. You do need 10 days.   To finish a work say Machine K you need to work full 9 days and a part of the 10th day. If I ask you how many days do you need to complete the work, will you say 9 or 10? You will say 10 even if you don't use the 10th day fully=9
Answer: D
Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 17 candidates. She plans to have one working interview with 3 of the 17 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combinations of job candidates?	Select
A) 720 B) 420 C) 300 D) 30 E) 333

Solution: 420.   Answer 420
Answer: B
Three numbers are in the ratio 3:5:7. The largest number value is 56. Find difference between Smallest & largest number is? Pick.
A) 34
B) 20
C) 36
D) 32
E) 30

Solution: == 3:5:7   Total parts = 15   = The largest number value is 56   = The largest number is = 7   = Then 7 parts -----> 56 ( 7 * 8 = 56 )   = smallest number = 3 & Largest number = 7   = 32ifference between smallest number & largest number is = 7 - 3= 
7 - 3 = 4
4= Then 4 parts -----> 32 (4 * 8 = 32)   32
Answer: D
The population of a town increased from 1,34,000 to 2,32,500 in a decade. The average percent increase of population per year is:
Choices.
A) 4.37%  B) 7.3%  C) 7.6%  D) 8.75%  E) None

Solution: Explanation: Increase in 10 years = (232500 - 134000)= 
(232500 - 134000) = 98_500
98500.   Increase%= (98500/134000 x 100)% = 73%.   Required average = (73/10)= 
(73/10) = 73/10 = around 7.3
7.3%.   Answer: Option 7.3%
Answer: B
A car crosses a 720 m long bridge in 2 minutes. What is the speed of car in km per hour?	Select
A) 20.5 km/hr
B) 21.6 km/hr
C) 31.6 km/hr
D) 15.6 km/hr
E) 22.3 km/hr

Solution: Speed = 720	m/sec.   360/60m/s   = 6 m/sec.   Converting m/sec to km/hr (see important formulas section)   =6 x	18/5 km/hr   5   = 21.6 km/hr   21.6 km/hr
Answer: B
Sara has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?	Select:
A) 32
B) 30
C) 29
D) 28
E) 27

Solution: 5a + 10b = 460   a> b   Pick an easy number to work with.   suppose a=30.   Then you have 150.   You need another 310 and that means you need b=31 which is greater than a.   Therefore, a > 30.   The only answer choice where a > 30 is if a = 32.   32 is the answer.
Answer: A
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero? Choose the correct choice from the following choices.
A) 18 B) 16 C) 17 D) 19 E) 13

Solution: Average of 20 numbers = 0   Sum of 20 numbers = (0 * 20)= 
(0 * 20) = 0
0   It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a).   Answer:19
Answer: D
P and Q started a business investing Rs 75000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.  Select the correct option:	A) 5:1	B) 17:3	C) 5:6	D) 17:7	E) 3:8

Solution: Explanation:   In this type of question as time frame for both investors is equal then just get the ratio of their investments.   P:Q = 75000:15000   = 75:15   = 5:1   Option 5:1
Answer: A
An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?  Pick one
A) 6 hrs 21 min  B) 6 hrs 81 min  C) 6 hrs 91 min  D) 8 hrs 21 min  E) 6 hrs 51 min

Solution: Time taken to cover 600 km = 600/100= 
600/100 = 6
6 hrs.   Number of stoppages= 600/75 - 1= 
600/75 - 1 = 7
7   Total time of stoppages= 3 * 7= 
3 * 7 = 21
21 min   Hence, total time taken= 6 hrs 21 min.   6 hrs 21 minnswer: 6 hrs 21 min
Answer: A
The sum of four consecutive even numbers is 292. What would be the smallest number?
Answers.
A) 49
B) 68
C) 60
D) 57
E) 70

Solution: 70   70   Let the four consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1)   Their sum = 8x - 4 = 292 => x = 37   Smallest number is: 2(x - 2) = 70.
Answer: E
5 3 -2 -5 -3 2....What is the sum of first thirty number sequence? Choose the correct choice from the following choices.
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: 5 3 -2 -5 -3 2 5 3 -2 -5 -3 2 5 3 -2 -5 -3 2 5 3 -2 -5 -3 2 5 3 -2 -5 -3 2   => 50-50= 
50-50 = 0
0.   0NSWER:0
Answer: A