MU-NLPC/Calc-aqua_rat huggingface dataset:
Calculate the average mark scored by Adam if he had the following scores in an examination: 85, 67, 52, 69, 56, 62, and 59 marks (out in 100) in Spanish Language, Mathematics, Biology, Physics, French Language,Fine art and Chemistry respectively?  Choose the correct choice from the following
A) 64.3 B) 62.1 C) 65.2 D) 57.4 E) 67.1

Solution: Explanation:   64.3verage mark = 85+67+52+69+56+62+59/7=64.3   64.3nswer: Option 64.3
Answer: A
A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ? Choose the correct choice from the following:
A) 99	B) 98	C) 97	D) 96 answer	E) 95

Solution: The square roots of all numbers from answer choices are between 9 and 10, so the product of primes of the number we are looking should be less then 9, so this number should have only 2-s, only 3-s, only 5-s, or only 2-s and 3-s as its primes. Only 96 satisfies this.   Answer: 96 answer.
Answer: D
Find the surface area of a10cm x 4cm x 3cm brick  Choose the correct option.
A) 84 B) 124 C) 164 D) 180 E) 120

Solution: Explanation:   surface area = [2(10 x 4 + 4 x 3 + 10 x 3)]cm2 = 164 cm2   Answer: 164
Answer: C
Which of the following is closest to the difference between sum E of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit?  Choose the correct choice from the following answers:
A) 2.82	B) 2.72	C) 1.82	D) 1.72	E) 0.82

Solution: Sum E of all proper fractions (fractions less than 1) in the form 1/x, where x is a positive digit:   1/1 + 1/2 + 1/3 +.....+ 1/9   This is a harmonic progression. Harmonic progression is inverse of arithmetic progression.   Approximate sum of a harmonic progression with even number of terms = number of terms * (average of middle 2 terms)   Approximate sum of a harmonic progression with odd number of terms = number of terms * (middle term)   The actual sum will be slightly more than the approximation.   Here we have 9 terms (odd).   Sum = 9 * 1/5   = 9/5   Product of all proper fractions in the form y/(y+1), where y is a positive digit:   1/2 * 2/3 * 3/4 *.....*9/10   We will be left with 1/10.   Required = 9/5 - 1/10   = 1.8 - 0.1= 
1.8 - 0.1 = 1.7
1.7   Closest is 1.72   Answer (1.72).
Answer: D
A number is doubled and 5 is added. If the resultant is trebled, it becomes 123. What is that number?	Choose the correct choice from the following.
A) 12
B) 29
C) 27
D) 18
E) 99

Solution: Explanation:   Let the number be x.   Therefore,   3(2x + 5) = 123   6x + 15 = 123   6x = 108   x = 18   ANSWER:18
Answer: D
The timing of a college is from 12 p.m to 4.10 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture. Pick:	A) 52 minutes	B) 45 minutes	C) 46 minutes	D) 48 minutes	E) 44 minutes

Solution: Explanation:   Total time a student spends in college = 4 hours 10 minutes = 250 minutes   As there are 5 lectures, the number of breaks between lectures is 4. Total time of the break = 20 minutes   Hence, the duration of each lecture is = (250 â€“ 20)/5   = 46 minutes   ANSWER 46 minutes
Answer: C
If 15 toys cost Rs. 545, what do 37 toys cost ?  Choose the correct choice from the following choices
A) Rs. 1344
B) Rs. 1349
C) Rs. 1346
D) Rs. 1341
E) Rs. 1343

Solution: Explanation:   Let the required cost be Rs. x.   More toys, More cost (Direct proportion)   Therefore 15 : 37 :: 545 : x   (15 * x) = (37 * 545)   x = (37*545)/15   = 1344.33   Hence, the cost of 37 toys is Rs. 1344.33   Rs. 1344NSWER: Rs. 1344
Answer: A
If it takes 10 kids 6 hours to wear out their teacher, how long would it take 15 kids?	Choose the correct choice from the following answers
A) 5 hours  B) 4 hours  C) 3 hours  D) 2 hours  E) 1 hour

Solution: 10 * 6 = 15 * x   x = 4   Answer: 4 hours
Answer: B
The Arnolds purchased 550 square feet of Kentucky Gem sod at $1.59 per square foot and 270 square feet of Zelzea Blue sod at $1.38 per square foot. What was the approximate average price per square foot paid for all the sod?	Choose the correct choice from the following answers
A) $1.63  B) $1.40  C) $1.68  D) $1.72  E) $1.76

Solution: Average price = (550*1.59)+(270*1.38)/550+270=1.40 (Approx)   Answer $1.40
Answer: B
The fourth proportional to 5, 8, 15 is  Choose the correct option:
A) 18  B) 19  C) 20  D) 24  E) None

Solution: Sol.   Let the fourth proportional to 5, 8, 15 be x.   Then, 5 : 8 : : 15 : x ⇔ 5x = (8x15)   ⇔ x = (8x15) / 5 = 24.   Answer 24
Answer: D
A motorcyclist goes from Bombay to Pune, a distance of 128 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choose the correct choice from the following answers.
A) 1:3  B) 1:5  C) 1:4  D) 1:1  E) 1:8

Solution: T = 128/32= 
128/32 = 4
4 h   T= 4 - 3= 
4 - 3 = 1
1   Time Ratio= 4:1 = 4:1   Speed Ratio = 1:4   Answer: 1:4
Answer: C
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?	Choose the correct choice from the following answers.
A) 15 hours  B) 13 hours  C) 14 hours  D) 12 hours  E) 19 hours

Solution: Part filled in 2 hours = 2/6 = 1/3.   Remaining part = 1 - 1/3 = 2/3   (A + B)'s 1 hour work = 2/21   C's 1 hour work = [(A + B + C)'s 1 hour work - (A + B)'s 1 hour work]   = (1/6 - 2/21) = 1/14   C alone can fill the tank in 14 hours.   Answer:14 hours
Answer: C
A can run 4 times as fast as B and gives B a start of 72 m. How long should the race course be so that A and B might reach in the same time?  Choose the correct choice from the following choices
A) 70 m B) 60 m C) 80 m D) 65 m E) 96 m

Solution: Speed of A:Speed of B=4:1   means in a race of 4m A gains 3m.   then in a race of 72m he gains 72*(4/3)   I.e 96m   ANSW96 mR:96 m
Answer: E
Using all the letters of the word "THURSDAY", how many different words can be formed?
Select
A) 7	B) 8	C) 2	D) 9	E) 6

Solution: Explanation:   Total number of letters = 8   Using these letters the number of 8 letters words formed is = 8.   Answer: 8
Answer: B
How many integers n are there such that 1< 5n + 4 < 24? Choose the correct option:
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: 1< 5n + 4 < 24   We first subtract 4 from all three parts of the inequality, and we obtain:   -3 < 5n < 20   Next, we divide both sides of the inequality by 5 and we get:   -3/5 < n < 4   The answer is 4
Answer: D
The value of (34.31*0.473*1.567)/(0.5*23.25*7.57) is close to Choose the correct choice from the following options:	A) 2	B) 1.15	C) 2.05	D) 0.29	E) 2.35

Solution: (34.31*0.473*1.567)/(0.5*23.25*7.57) = 25.4303/88.00125   = 0.29   ANSWER:0.29
Answer: D
The radius of a semi circle is 6.3 cm then its perimeter is?	Choose the correct choice.
A) 32.8 B) 32.4 C) 32.1 D) 32.2 E) 32.9

Solution: 36/7 r = 6.3   = 32.4   Answer:32.4
Answer: B
Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability W that Jane will be on the same committee as Albert? Choose the correct option
A) 12%	B) 20%	C) 33%	D) 40%	E) 50%

Solution: Total number of ways to choose 3 member committee - 6C3=(6!/3!3!)=20   No. of ways Albert n Jane are in same committee:- (4C1 * 2)= 8   Probability W= (8/20) *100= 
(8/20) *100 = 40
40%.   +1 for me.. :40%
Answer: D
Raffle tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2 ?  Pick:
A) 2/5	B) 2/7	C) 33/83	D) 99/250	E) 100/249

Solution: The number of integers from 101 to 350, inclusive is 250, out of which 100 (from 200 to 299) will have a hundreds digit of 2. Thus the probability is 100/250=2/5.   2/5nswer: 2/5.
Answer: A
A man can row 7 ½kmph in still water. If in a river running at 1.5 km an hour, it takes him 50 minutes to row to a place and back, how far off is the place?
Choose the correct choice from the following choices.
A) 3 km B) 4 km C) 5 km D) 6 km E) None

Solution: Sol.   Speed downstream = (7.5 + 1.5)= 
(7.5 + 1.5) = 9
9 kmph;   Speed upstream= (7.5 - 1.5)= 
(7.5 - 1.5) = 6
6 kmph.   Let the required distance be x km. Then,   x/9 + x/6= 50/60 ⇔ 2x + 3x = [5/6 * 18] ⇔ 5x 2  + 3= 
2  + 3 = 5
[5/6 * 18] ⇔ 5x= 15 ⇔ x =3.   Hence, the required distance is 3 km.   3 kmnswer 3 km
Answer: A
The perimeter of a square is 24 m. Find the area of the square.  Choose the correct choice from the following:
A) 161 mÂ².	B) 36 mÂ².	C) 46 mÂ².	D) 169 mÂ².	E) 33 mÂ².

Solution: Perimeter of square = 24 m   But perimeter of square = 4 Ã— side   Therefore, 4 Ã— side = 24 m   Therefore, side= 24/4= 
24/4 = 6
6m   Now, the area of the square= (side Ã— side)   Therefore, area of the square = 6 Ã— 6 mÂ² = 36 mÂ².   ANSWER : OPTION 36 mÂ².
Answer: B
There are 84 supermarkets in the FGH chain. All of them are either in the US or Canada. If there are 10 more FGH supermarkets in the US than in Canada, how many FGH supermarkets are there in the US?	Choose one:
A) 20	B) 31	C) 42	D) 47	E) 64

Solution: x + (x - 10) = 84 --> x = 47.   Answer: 47.
Answer: D
What is the sum of the multiples of 5 from 80 to 140, inclusive?	Pick:
A) 560 B) 780 C) 990 D) 1008 E) 1200

Solution: The formula we want to use in this type of problem is this:   Average*Total Numbers=Sum   First, find the average by taking the sum of the F + L number and divide it by 2:   A = (F + L)/2   Second, find the total numbers in our range by dividing our F and L numbers by 5 and add 1.   (140/5) - (80/5) + 1   Multiply these together so what we show Average*Total Numbers=Sum   (80 + 140)/2 * (140/5) - (80/5) + 1 = Sum   110 * 9= 
110 * 9 = 990
990   990
Answer: C
In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is Select:
A) 35
B) 37
C) 39
D) 41
E) 44

Solution: Explanation:   Let B's age = x years.   Then, As age = (x+ 9) years.   (x+9+10)=2(x—10)   hence x=39.   Present age of B = 39 years   Option 39
Answer: C
Jim’s Taxi Service charges an initial fee of $2.45 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Pick one: A) $3.15 B) $4.45 C) $4.80 D) $5.05 E) $5.6

Solution: Let the fixed charge of Jim’s Taxi Service = 2.45 $   and charge per 2/5 mile(.4 mile) = .35$   Total charge for a trip of 3.6 miles = 2.45 + (3.6/.4) * .35   = 2.45 + 9*.35= 
2.45 + 9*.35 = 5.6
5.6 $   Answer $5.6
Answer: E
If x and y are prime numbers such that x > y > 4, then x^2 − y^2 must be divisible by which one of the following numbers?	Choose the correct choice from the following answers:
A) 7	B) 8	C) 5	D) 9	E) 13

Solution: If x=7 and y=5, then x^2-y^2=24 and 24 is divisible only by 8 from the options, thus it must be correct.   Answer: 8.
Answer: B
A university needs to select a nine-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 9 members, the student advisory board consists of 8 members, and 5 students hold membership in both organizations, how many different committee are possible? Choose the correct choice from the following answers.
A) 140	B) 180	C) 220	D) 260	E) 300

Solution: student government + the student advisory board consists of  9 + 8= 
 9 + 8 = 17
17 members.   5 students hold membership in both, so they were counted twice.   The total number of people to choose from is 17 - 5= 
17 - 5 = 12
12   The number of ways to choose 9 members from 12 is 122209= 220   The answer is 220.
Answer: C
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.655 in all. Find the share of B?  Choose the correct choice from the following.
A) 130  B) 120  C) 218  D) 140  E) 136

Solution: A+B+C = 655   A = 3B   3B+B+B-25 = 655   5B = 680   B = 136   Answer: 136
Answer: E
If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference E between the greatest and least of the five integers?  Answers
A) 4K  B) 4k^2 -4k  C) 4-4k  D) 4  E) 4k+4

Solution: (n-2 + n - 1 + n + n + 1 + n + 2)/5 = 2k - 1   => n = 10k - 5   Greatest = n + 2 = 10k - 5 + 2 = 10k - 3   Least = n - 2 = 10k - 5 - 2   => 4ifference E= 10k - 3 - (10k - 7)   = 4   Answer - 410  - 3 - (10  - 7)= 
10  - 3 - (10  - 7) = 4
4   Answer - 4
Answer: D
A birthday child reaches into a bag filled with toys (1 yo-yo, 1 ball, 1 whistle, and 1 box crayons). If the child randomly picks three toys, what is the probability the child will pick the yo-yo and a ball as two of the three toys? Choose the correct choice from the following answers
A) 1/3
B) 1/2
C) 1/4
D) 1/5
E) 2/5

Solution: Combination Formula: nCr = n!/(r!(n - r)!), where n is the population/set, and r is the sample/subset.   Total number possible = 4C3 - 4!/(3!(4 - 3)!) = 4   Number yo-yo possible = 1C1 = 1   Number ball possible = 1C1 = 1   Number other possible = 2C1 = 2   Probability Formula: P(A) = (Number Favorable Outcomes)/(Total Number Possible Outcomes)   P(Y1/2) = (1C1)(1C1)(2C1)/4C3 = 2/4 = 1/2   Answer: 1/2
Answer: B
Two airplanes take off from one airfield at noon. One flies due east at 206 miles per hour while the other flies directly northeast at 283 miles per hour. Approximately how many miles apart are the airplanes at 2 p.m.? Answers:	A) 412	B) 332	C) 400	D) 483	E) 566

Solution: A   In two hours:   the plane flying East will be 412 miles away from airport.   the other plane will be 566 miles away from airport.   566/412 = ~1.4 = ~sqrt(2)   This means that planes formed a right isocheles triangle => sides of such triangles relate as 1:1:sqrt(2) => the planes are 412 miles apart.412
Answer: A
In a city, the bus route numbers consist of a natural number less than 100, followed by one of the letters A,B,C,D,E and F. How many different bus routes are possible?	Choose the correct answer:  A) 500  B) 594  C) 588  D) 700  E) 600

Solution: The number can be any one of the natural numbers from 1 to 99.   There are 99 choices for the number.   The letter can be chosen in 6 ways.   Number of possible bus routes are 99Ã—6=99Ã—6= 594   ANSWER 594
Answer: B
If x > 7, which of the following is equal to (x^2 - 8x + 16)/(x^2 - 16) ?
Choose the correct answer:
A) (x + 4)/(4(x - 4))
B) (x - 4)/(x + 4)
C) (x - 2)/(x + 4)
D) (x + 4)/(x - 4)
E) (x - 8)/(x - 4)

Solution: (x^2 - 8x + 16)/(x^2 - 16)   = (x - 4)(x - 4) / (x + 4)(x - 4)   =(x - 4)/(x + 4)   B. (x - 4)/(x + 4)
Answer: B
Hulk is older than Pedro. Pedro is younger than Ozil and younger than Ronaldo. Ronaldo is older than Hulk and Nani, who are older than Ozil.If Nani and Hulk are twins, who's oldest?  Choose one.
A) Ronaldo
B) Pedro
C) Hulk
D) Ozil
E) Nani

Solution: Ronaldo   Ronaldo
Answer: A
A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes?	Choose the correct choice:
A) 2,951
B) 8,125
C) 15,600
D) 16,302
E) 18,278

Solution: 1 letter code - 26 (or you can write 26C1)   2 letter code - 26*26=26^2 (or you can write 26C1*26C1=26^2)   3 letter code - 26*26*26=26^3 (or you can write 26C1*26C1*26C1=26^3)   (For 2 letter, for example, you have 26 choices per each letter, it's 26^2 and not 26C2 or 26P2.)   Total =26+26^2+26^3 =18,278   So the answer is 18,278.
Answer: E
12 years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?  Choose the correct choice:
A) 13 B) 14 C) 15 D) 16 E) 18

Solution: Let the present ages of Anand and Bala be 'a' and 'b' respectively.   a - 12 = 1/3 (b - 12) --- (1)   b = a + 12   Substituting b = a + 12 in first equation,   a - 12= 1/3 (a +0) => 3a - 36 = a   => 2a = 36 => a = 18.   ANSW18R:18
Answer: E
A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it? Choose the correct answer.
A) 13 1/3 days
B) 8 days
C) 9 days
D) 63 days
E) 15 days

Solution: Explanation:   5/30 + 20/x = 1   x = 24   1/30 + 1/24 = 3/40   40/3 = 13 1/3 days   13 1/3 daysnswer 13 1/3 days
Answer: A
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is? Choose the correct answer.
A) 65	B) 21	C) 78	D) 67	E) 51

Solution: Let the total number of workers be x. Then,   8000x = (12000 * 7) + 6000(x - 7)   = 2000x = 42000   = x = 21.   Answer: 21
Answer: B
Which of the following CANNOT be true if the sum of k consecutive integers is 0, where k ≥ 1 ?
I. The product of the k integers is positive
II. The smallest of the k integers is zero
III. The largest of the k integers is negative	Choose the correct choice from the following.
A) I only
B) II only
C) III only
D) I and III
E) I, II and III

Solution: for the sum of k consecutive integers to be 0 we have at least k=1 as 0   or if k=3 then 1,0,-1   1) product will be 0 every time......Not True   2)as stated earlier if k=1 as 0 then 0 is the highest as well lowest number.....Could be True   3) largest number can only be 0 if K=1 or any +ve integer if K>1--------->largest integer be -ve Never true.   Ans I and III
Answer: D
In 2003, the number of girls attending Jefferson High School was equal to the number of boys. In 2004, the population of girls and the population of boys both increased by 20 percent. Which of the following could be the total student population at Jefferson High School in 2004? Choose the correct choice from the following choices:
A) 4832  B) 5034  C) 5058  D) 5076  E) 5128

Solution: What you forgot to consider here is that x and x/2, both, should be integers. This means, after you divide the option by 6 and get x (after multiplying by 5 which doesn't matter), it should again be divisible by 2. Hence, the option must be successively divisible by 6 and 2 i.e. it must be divisible by 12 i.e by 3 as well as 4.   We see that (C) and (D) are both divisible by 3. But only (D) is divisible by 4.   Answer (5076)
Answer: D
Two cyclists are moving towards each other at 10 miles/hour. They are now 50 miles apart. At this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other. If the fly is moving at 15 miles/hour, what is the total distance covered by the fly?  Choose the most appropriate option.
A) 37.5 miles
B) 38.5 miles
C) 39.5 miles
D) 36.5 miles
E) 35.5 miles

Solution: time taken by cyclists to meet = 50/20 2.5 hrs   distance covered by fly during 2.5 hrs = 15*2.5= 
15*2.5 = 37.5
37.5 miles   37.5 milesNSWER:37.5 miles
Answer: A
P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?  Choose the correct choice from the following choices:  A) 8(3/5) Days  B) 9(3/5) Days  C) 7(3/5) Days  D) 6(3/5) Days  E) 5(3/5) Days

Solution: Amount of work P can do in 1 day = 1/16   Amount of work Q can do in 1 day = 1/12   Amount of work P, Q and R can together do in 1 day = 1/4   Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48   => Hence R can do the job on 48/5 days = 9 (3/5) days   Answer is 9(3/5) Days.
Answer: B
How many different 7 digit numbers can be formed from the number 3589463 by re-arranging its digits so that the odd digits occupy even position	Choose the correct choice.
A) 1  B) 5  C) 9  D) 72  E) 34

Solution: There are 4 odd numbers which have to be placed at 4 even places =4!/2!=12 ways   There are 3 even numbers which have to be placed at 3 odd places. So 3! = 6 ways   so total number of ways of arranging all these numbers are  12 * 6= 
 12 * 6 = 72
72 ways   Answer:72
Answer: D
During a certain two-week period, 60 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 4 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period? Pick one
A) 14	B) 12	C) 10	D) 8	E) 7.5

Solution: Total movies = 100.   Comedies = 60.   Action + Drama = 40. Since there were 5 times as many dramas as action movies, then Action + 4*Action = 40 --> Action = A = 8.   Comedies = 60 = 7.5A.   Answer: 7.5
Answer: E
Find the probability that a leap year chosen at random will have 53 Sundays Choose the correct choice from the following:  A) 2/7  B) 2/6  C) 2/5  D) 2/3  E) 2/4

Solution: A leap year has 366 day which is 52 full weeks + 2 odd days. Now these two odd days may be (sun + mon), (mon + tue), .... (Sat + sun). Now there are total 7 ways. Of which Sunday appeared two times. So answer 2/7   2/7nswer:2/7
Answer: A
A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 1/20, and the probability of selecting a blue paper clip is 1/10. What is the probability of selecting a silver paper clip? Choose the correct choice from the following choices:
A) 5/12	B) 1/20	C) 17/20	D) 3/4	E) 11/20

Solution: Prob of Red = 1/20   Prob of Blue = 1/10   Prob of Silver = ?   P(Silver) = 1 - P(Red) - P(Blue) ==> 1-1/20-1/10 = 7/12   Ans: 17/20
Answer: C
How many positive integers between 20 and 2000(both are inclusive) are there such that they are multiples of 10?	Choose the correct choice.
A) 201	B) 193	C) 200	D) 199	E) 195

Solution: Multiples of 10 = 20,30,40-----,1990,2000   Number of multiples of 10 => 2000-20/10+1= 199   Answer is 199
Answer: D
700 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Pick one:
A) a) 14  B) b) 138  C) c) 60  D) d) 38  E) e) 12

Solution: Passed in english = 65%   Passed in maths = 55%   Passed in both = 40% of 55% = 2/5 * (55%) = 22%   Passed in (English + Maths - Both + Neither) 2/5 * (55 )= 
2/5 * (55 ) = 22
22%   Passed in (English + Maths - Both + Neither)= 100%   65 + 55 - 22 + Neither = 100   Neither = 100 - 98= 
100 - 98 = 2
2%= 0.02 * 700= 
0.02 * 700 = 14
14   a) 14nswer: a) 14
Answer: A
Bus X is 12 miles ahead of Bus Y, which is traveling the same direction along the same route as Bus X. If Bus X is traveling at an average speed of 41 miles per hour and Bus Y is traveling at an average speed of 57 miles per hour, how long will it take Bus Y to overtake and drive 4 miles ahead of Bus X? Choose the correct choice from the following.
A) 2 hours
B) 1 hour
C) 2 hours 20 minutes
D) 3 hours 45 minutes
E) 5 hours

Solution: Relative speed = 57-41= 
57-41 = 16
16 miles per hour   Dist required= 12+4= 
12+4 = 16
16 miles   Time taken to overtake= 16/16= 
16/16 = 1
1 hour. 1 hour is the answer.
Answer: B
How many digits are in (8×10^12)(10×10^9)?  Answers:	A) 20	B) 23	C) 26	D) 27	E) 28

Solution: The question simplfies to (8×10^12)(10^10)   => 8*10^22   => Will contain 22 zeros +1 digit 8   =>23   Ans 23
Answer: B
The divisor is 12, the quotient is 4 and the remainder is 1.
What is the dividend?
Choose the correct choice from the following:
A) 48  B) 49  C) 96  D) 97  E) 72

Solution: D = d * Q + R   D = 12 * 4 + 1   D = 48 + 1= 
48 + 1 = 49
49   Answer: 49
Answer: B
If a person walks at 5 km/hr instead of 4 km/hr, he would have walked 6 km more. The actual distance traveled by him is?	Choose the correct option:
A) 14  B) 20  C) 18  D) 24  E) 21

Solution: Let the actual distance traveled be x km. Then,   x/4 = (x + 6)/5   x - 24=>x = 24km.   Answer: 24
Answer: D