MU-NLPC/Calc-aqua_rat huggingface dataset:
If James has to pay 12 % interest per year on an amount of $60,000 for 12 year then what is total principal?  Pick one
A) 52000 B) 24000 C) 25000 D) 27000 E) 24590

Solution: For simple interest, I = P * N * R / 100   let Principle P = x   I = x * 12 * 12 / 100   I = 1.44 * x   Amount = P + I   60000 = 1.44 x + x   x = 24590.16 = P   24590
Answer: E
At a constant Rate of flow, it takes 30 minutes to fill a swimming pool if a large hose is used and 45 minutes if a small hose is Used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?
Choose the correct choice from the following options:  A) 20  B) 22  C) 18  D) 16  E) 14

Solution: time taken to fill the pool by Large Hose =30 minutes =L or 1/L=1/30 similarly 1/S=1/45   simultaneously it will take 1/L+1/S=1/30+1/45=5/90=18 minutes   Answer : 18
Answer: C
Working alone, A can complete a certain kind of job in 15 hours. A and D, working together at their respective rates, can complete one of these jobs in 10 hours. In how many hours can D, working alone, complete one of these jobs?	Select the correct option
A) 20 B) 24 C) 26 D) 28 E) 30

Solution: Let total time taken by D to complete the job = D   total time taken by A to complete the job = 15   Work done by A in an hour   1/A = 1/15   Working together A and D can complete the job in 10 hours   1/A + 1/D = 1/10   =>1/D = 1/10 - 1/15   = 1/10 - 1/15   = 1/30   => D = 30 hours   Answer 30
Answer: E
The area of a parallelogram is 128sq m.Then the area of a triangle formed by its diagonal is ----------?
Options
A) 128m
B) 64m
C) 64m^2
D) 128m^2
E) none

Solution: b*h/2=128/2= 
128/2 = 64
64m. Ans:(64m)
Answer: B
If X and Y are two different prime numbers, which of the following cannot be true? Answers:	A) XY is odd.	B) X + Y is even.	C) X + Y is odd.	D) XY is even.	E) X/Y is an integer

Solution: A prime number is a positive integer with exactly two distinct positive divisors: 1 and itself. So, a prime number cannot be a multiple of another prime number. Which makes option E not possible (X/Y=integer means that X is a multiple of Y).   All other options are possible:   A. XY is odd --> X=3 and Y=5;   B. X + Y is even --> X=3 and Y=5;   C. X + Y is odd -->X=2 and Y=3;   D. XY is even --> X=2 and Y=3;   Answer: X/Y is an integer.
Answer: E
A trailer carries 3, 4 and 6 crates on a trip. Each crate weighs no less than 120 kg. What is the maximum weight of the crates on a single trip?  Select:	A) 1250	B) 625	C) 600	D) 7500	E) 720

Solution: Max No. of crates=6.   Max Weight=120Kg   Max. weight carried = 6*120= 
6*120 = 720
720Kg=720
Answer: E
A 4-letter code word consists of letters H, I, and J. If the code includes all the three letters, how many such codes are possible?  Choose the correct choice from the following answers:  A) 72  B) 48  C) 18  D) 24  E) 36

Solution: Note that the correct answer to this question is 36, not 72.   H-HIJ can be arranged in 4!/2!=12 ways;   I-HIJ can be arranged in 4!/2!=12 ways;   J-HIJ can be arranged in 4!/2!=12 ways;   Total:  12+12+12= 
 12+12+12 = 36
36.   Answer: 36
Answer: E
A rectangular cube has sides measuring 3 inches long by 2 inches wide by 0.5 inches high. If the surface area of the rectangle is the same as a cube, what do the sides/walls of the cube measure? Round to the nearest whole number.  Options:
A) 4
B) 5
C) 6
D) 7
E) 2

Solution: First calculate the surface area of the rectangle by multiplying the length and width of the rectangle together, then multiply by 2 to get both sides of the rectangle. This calculates to 12 inches. Find the surface area of the sides of the rectangular cube. Multiply the height by the length of the rectangle. Multiply the answer by 2 (for the 2 sides on the rectangular cube). This calculates to 3 inches. Then multiply the width of the rectangle by the height. Multiply the answer by 2 (for the 2 sides on the rectangular cube). This calculates to 2 inches. Add the totals together to get the rectangular cube surface area of 17 inches. Since a square cube has 6 sides, divide the surface area by 6. This calculates to 2.833 inches as the surface area of each side of the cube. The square root of 2.833 is 1.683. Rounding to the nearest whole number that makes each side of the cube measuring 2 inches. The correct answer is (2).
Answer: E
If the sum of the interior angles of a regular polygon measures up to 1260 degrees, how many sides does the polygon have?	Choose the correct choice from the following answers:  A) 6  B) 3  C) 9  D) 4  E) None of these

Solution: 9 sides...answer is 9
Answer: C
4 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?  Choose the correct choice:
A) 4 days
B) 6 days
C) 7 days
D) 9 days
E) 1 days

Solution: 1 women's 1 day work = 1/28   1 child's 1 day work = 1/140   (5 women + 10 children)'s 1 day work   = (5/28 + 10/140) = 1/4   5 women and 10 children will complete the work in 4 days.   4 daysnswer: 4 days
Answer: A
Raja and Abdul can finish the work 18 days if they work together. They worked together for 12 days and then Abdul left. Rja finished the remaining work in another 12 days. In how many days Raja alone can finish the work?
Choose the correct choice from the following choices:	A) 30 days	B) 60 days	C) 70 days	D) 36 days	E) 90 days

Solution: Amount of work done by Raja and Abdul in 1 day = 1/18   Amount of work done by Raja and Abdul in 12 days = 12 Ã— (1/18) = 2/3   Remaining work â€“ 1 â€“ 2/3 = 1/3   Raja completes 1/3 work in 12 days   Amount of work JOHN can do in 1 day = (1/3)/12 = 1/36   =>Raja can complete the work in 36 days   Answer : 36 days
Answer: D
A cube painted red on two adjecent faces and black on the faces opposite to the red faces and green on the remaining faces is cut into sixty-four smaller cubes of equal size.How many cubes are there which have no face painted?  Choose the correct answer:	A) 8	B) 9	C) 10	D) 11	E) 12

Solution: If a painted cube is cut into 64 (4^3) smaller cubes then there will be   i. smaller cubes with three face painted (cubes at the corner)= 8   ii.smaller cubes with two face painted (cubes at the edges)= (4-2)*12= 
(4-2)*12 = 24
24   iii.smaller cubes with one face painted (cubes at the faces)= ((4-2)^2)*6=24   iv.smaller cubes not painted = 64-(8+24+24)= 
64-(8+24+24) = 8
8   8NSWER:8
Answer: A
There are 4 numbers A, B, C, and D. If A:B = 1/2, B:C = 2/7, C:D = 7/3, then A:D will be?  Choose the correct choice from the following answers: A) 1 : 2 B) 2 :1 C) 2 : 7 D) 1 : 7 E) 1 : 3

Solution: Solution   A : B = 1 : 2, B : C = 2 : 7, C : D = 7 : 3   âˆ´Aâˆ¶Bâˆ¶Câˆ¶D= 1 : 2 : 7 : 3.   Thus, A : D = 1 : 3   Correct Option 1 : 3
Answer: E
The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
Choose the correct option.
A) 587 × 10<10>(exponent) miles  B) 587 × 10<-12> (exponent) miles  C) 587 × 10<-10>(exponent) miles  D) 587 × 10<12>(exponent) miles  E) 587 × 10<8>(exponent) miles

Solution: The distance of the light travels in 100 years is:   5,870,000,000,000 × 100 miles.   = 587,000,000,000,000 miles.   = 587 ×10<12>(exponent) miles
Answer: D
An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 40 miles per hour, then 50 miles per hour, then 60 miles per hour. If the test took 74 hours to complete, how many miles was the car driven during the entire test?	Choose the correct choice.
A) 3600	B) 3400	C) 3300	D) 3500	E) 3200

Solution: x is the segment to be traveled   x/40+x/50+x/60 =74   or 74x/1200 =74   x = 1200miles . total distance =3*1200= 
3*1200 = 3_600
3600 miles   3600
Answer: A
Two pipes A and B can separately fill a tank in 12 minutes and 16 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank? Choose the correct choice:
A) 5min
B) 7min
C) 8min
D) 9min
E) 10min

Solution: 4/12 + x/16 = 1   x = 10   ANSW10minR:10min
Answer: E
Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 60 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 60 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work?	Choose the correct choice from the following answers
A) 20	B) 34	C) 38	D) 40	E) 48

Solution: Nice question +1   We have that X/24 - (60-X)/2R = 40   Also X/R - (60-X)/2R = 120   So we get that 2x - 60 = 80R   3x - 60 = 240R   Get rid of R   120 = 3x   x = 48   Hence answer is 48
Answer: E
There are, in a certain league, 50 teams, and each team face another team for a total of 4 times. How many games are played in the season? Choices
A) 6660  B) 3600  C) 2400  D) 4900  E) 5400

Solution: By using the formula, t[n(n - 1) / 2], where t = no. of games between two teams and n = total no. of teams, we get: 4900   Option 4900.
Answer: D
Trains A and B start simultaneously from stations 450 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 50 miles per hour and 50 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?  Choose the correct answer.
A) 112	B) 133	C) 150	D) 167	E) 225

Solution: Since we know the distance (450) and the combined rate (100), we plug it into the formula:   Distance = Rate * Time   450 = 100 * Time   We can solve for the time they will meet cause we added the rate of Train A and Train B together.   So the time will be 450/100 from dividing 100 on both sides to isolate Time in the equation above.   Time will be 4.5 hours so now you can plug that in for Train A’s distance.   Distance = Rate * Time   Distance = 50 * 4.5= 
50 * 4.5 = 225
225 according to answer choice 225.
Answer: E
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%? Pick
A) Rs. 21,000
B) Rs. 22,500
C) Rs. 25,300
D) Rs. 25,800
E) Rs. 26,800

Solution: sell at 18700 he got a loss of 15% means, This 18700 is 85% not 100%.   To get 1% :  18700/85= 
 18700/85 = 220
220; Then 220 is 1%.   To get 100% : 220x100=22000.   To get 115% : 220x115=25300   answer :Rs. 25,300
Answer: C
A certain smoothie A is three-fifths blueberries and 40% raspberries by weight. Another smoothie B is three-quarters banana and one-quarter raspberries by weight. If the mixed smoothie of A and B is 30% raspberries by weight, how much weight of this mixture belongs to smoothie A?	Pick:
A) 10%
B) 33.33%
C) 45%
D) 50%
E) 66.66%

Solution: A is 40% raspberries;   B is 25% raspberries.   A and B is 30% raspberries;   30% raspberries in the mixed smoothie of A and B come from 40% raspberries in A and 25% raspberries in B, thus:   0.3(A+B)=0.4A+0.25B --> 0.1A=0.05B --> A/B=1/2 --> A/(A+B)=1/3.   Answer: 33.33%.
Answer: B
There are 600 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?
Select
A) 100
B) 200
C) 250
D) 300
E) 400

Solution: There are 594 managers and 6 others. The 6 others would compose 2% of the total number of people if there were 300 people in the room. Thus 300 managers must leave.   The answer is 300.
Answer: D
For which of the following does f(r)−f(s)=f(r−s) for all values of r and s? Options:	A) f(a)=a^2	B) f(a)=a/2	C) f(a)=a+5	D) f(a)=2a−1	E) f(a)=|a|

Solution: To solve this easiest way is just put the value and see that if it equals or not.   with option 1. f(r) = r^2 and f(s) = s^2   so L.H.S = r^2 - s^2   and R.H.S = (r-s)^2 ==> r^2 + s^2 -2rs.   so L.H.S not equal to R.H.S   with option 2. f(r) = r/2 and f(s) = s/2   L.H.S = r/2 - s/2 ==> 1/2(r-s)   R.H.S = (r-s)/2   so L.H.S = R.H.S which is the correct answer.   f(a)=a/2
Answer: B
Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following numbers could be the sum of G and H?
Choose the correct choice from the following choices.
A) 153 B) 150 C) 146 D) 144 E) 89

Solution: Let x be the original 2-digit number.   If each digit is halved, then the sum of G and H is 3x/2.   Note the sum must be a multiple of 3 and less than 150.   Of these five choices, only 144 satisfies these two conditions.   The answer is 144.
Answer: D
Two goods trains each 625 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choose the correct choice from the following options.
A) 40  B) 45  C) 48  D) 60  E) 44

Solution: Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 625 + 625= 
625 + 625 = 1_250
1250 m.   Required time= 1250 * 6/125= 
1250 * 6/125 = 60
60 sec.   Answer: Option 60
Answer: D
What is the ratio between perimeters of two squares one having 1.5 times the diagonal then the other?  Select the correct option.
A) 3: 6	B) 1.5: 1	C) 3: 1.5	D) 2: 1	E) 3: 2

Solution: d = 1.5d d = d   a√2 = 1.5d a√2 = d   a = 1.5d/√2 a = d/√2 => 1.5: 1   Answer: 1.5: 1
Answer: B
A landlady has been paid $329,864 to her savings account. What is the least amount of money (in whole number of dollars) that she must add to her account if she wants to confirm that the money has been paid evenly by all 9 of her house rentors?
Choose the correct choice from the following
A) $1	B) $2	C) $3	D) $4	E) $6

Solution: To find the least amount the landlady should add to her saving account to ensure that every rentor has paid evenly,   she needs to make the total divisible by 9   Simply add the individual digits of the total = 3+2+9+8+6+4= 
3+2+9+8+6+4 = 32
32   If you add 4 , the number is divisible by 9 (32+ 4)   Correct Option : $4
Answer: D
A company run by 20 men can produce 1000 pencils in a day. One-fifth of the pencils produced are defective and one-quarter of all pencils produced are rejected by quality control technician. If one-tenth of the nondefective pencils are rejected by mistake, and if all the pencils not rejected are sold, then what percent of the pencils sold by the company are defective?  Choose the correct choice from the following choices:
A) 4%  B) 10%  C) 8%  D) 6%  E) 2%

Solution: We have 20% defective and 80% non-defective; we have 25% rejected and 75% not rejected. We also know that 1/10 of the non-defective ones (8%) are rejected, so 72% sold. This means that we have 3% sold that are defective and 17% rejected that are defective. Overall, we have 3%/75% or 4 of every 100 that are sold (not rejected) and defective, which implies 4%nswer 4%.
Answer: A
A train 270 m long passed a pole in 27 sec. How long will it take to pass a platform 650 m long? Select the correct option:
A) 92 sec  B) 89 sec  C) 54 sec  D) 27 sec  E) 22 sec

Solution: Speed = 270/27= 
270/27 = 10
10 m/sec.   Required time= (270 + 650)/10= 
(270 + 650)/10 = 92
92 sec.   92 secnswer: 92 sec
Answer: A
The measurement of a rectangular box with lid is 50cmx30cmx38cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere)
Choices:  A) 288  B) 4500  C) 7200  D) 864  E) 9640

Solution: d=30, r=15;   Volume of the largest sphere= 4/3πr3   = 4/3 *π*15*15*15= 4500πcm3 ANSWER:4500
Answer: B
70% of the employees of a company are men. 50% of the men in the company speak French and 40% of the employees of the company speak French. What is % of the women in the company who do not speak French?  Options.
A) 4% B) 10% C) 83.33% D) 90.33% E) 20%

Solution: No of employees=100(say)   Men=70   Women=30   Men speaking french=0.5*70= 
0.5*70 = 35
35   Employees speaking french=0.4*100= 
0.4*100 = 40
40   Therefore women speaking French=40-35= 
40-35 = 5
5   And women not speaking French=30-5= 
30-5 = 25
25   % of women not speaking French=25/30*100=83.33%   Answer 83.33%
Answer: C
Which of the following statements must be true?
I)The product of first 100 prime numbers is even
II)The sum of first 100 prime numbers is odd.
III)The sum of first five non-negative even numbers is divisible by both 4 and 5
Choose the correct choice from the following options
A) I only  B) II only  C) I and II only  D) I and III only  E) I, II and III

Solution: First look at some Odd & Even Rules:-   Multiplication   E x E = E   O x O = O   E x O = E = O x O   Addition   E + E = E   E + O = O = O + E   O + O = E   Now coming to the statements:-   I. The product of first 100 prime numbers is even   First 100 prime nos. includes 2 which is the ONLY even no. Hence, any no. multiplied by even no will give an Even No.   II. The sum of first 100 prime numbers is odd   We can figure this out through Cyclicity Rule. Ignore the First TWO Prime Nos. and let us start with 5, which is Odd.   O + O = E (Sum of two primes)   E + O = O (Even is carried over and added to 3rd prime)   O + O = E (Carry over and 4th prime)   E + O = O (5th prime)   O + O = E (6th prime)   Through Cyclicity, we can find out that the sum of any Even No of ODDS will always be EVEN. Since 98th no is Even, the answer will also be EVEN. Now, include the first two prime nos. i.e. 2 & 3.   E + 2(E) + 3(O) = O   Hence, the statement is TRUE.   III. The sum of first five non-negative even numbers is divisible by both 4 and 5   First five non negative even nos. = 0, 2, 4, 6 and 8   Sum = 20. Divisible by both 4 AND 5   Answer : I, II and III
Answer: E
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for three years?  Select
A) 29893  B) 27773  C) 29989  D) 26100  E) 29883

Solution: Simple interest = (18000 * 3 * 15)/100 = Rs. 8100   Amount = P + I = 18000 + 8100 = Rs. 26100   Answer: 26100
Answer: D
If P is a prime number greater than 3, find the remainder when P^2 + 13 is divided by 12. Choose the correct choice from the following choices.
A) 6	B) 1	C) 0	D) 2	E) 7

Solution: Every prime number greater than 3 can be written 6N+1 or 6N-1.   If P = 6N+1, then P^2 + 13 = 36N^2 + 12N + 1 + 13 = 36N^2 + 12N + 12 + 2   If P = 6N-1, then P^2 + 13 = 36N^2 - 12N + 1 + 13 = 36N^2 - 12N + 12 + 2   When divided by 12, it must leave a remainder of 2.   The answer is 2.
Answer: D
Ashok opened a shop investing Rs.60,000 and Madhuri joined him after 2 months investing Rs.90,000. They get a profit of Rs. 1,08,000 after one year. The share of Madhuri is Pick one:
A) Rs.35,000
B) Rs.30,000
C) Rs.60,000
D) Rs.45,000
E) None of the above

Solution: 60000*12:90000*10=4:5   5/9(108000)=60000   ANSWER:Rs.60,000
Answer: C
If 945*s is a perfect square then s can be which of the following numbers?
Choose the correct choice from the following options.
A) 21	B) 35	C) 54	D) 105	E) 150

Solution: For a number to be a perfect square all the prime factors must be in pairs. So,   Prime factors of 945 are 3 *3 *3 *5 * 7   1) 21 = 3 * 7   2) 35 = 5 * 7   3) 54 = 2 * 3 * 3 * 3   4) 105 = 3 * 5 * 7   5) 150 = 2 * 3 * 5 * 5   So only answer choice D completes the pairing of 3, 5 and 7. It adds a "3", a "5", and a "7" to the prime factors of 945 (3*3*3*5*7) and makes it a perfect square.
Answer: D
A swimmer can swim in still water at 4 km/h. If the speed of the water current is 1 km/h, how many hours will the swimmer take to swim against the current for 6 km?	Choose the correct answer:
A) 1.2 B) 1.4 C) 1.6 D) 1.8 E) 2

Solution: The swimmer can swim against the current at a speed of 4-1= 
4-1 = 3
3 km/h.   The time it will take is  6/3= 
 6/3 = 2
2 hours.   The answer is 2.
Answer: E
P = {22, 24, 26, 28, 30, 32}
Q = {2, 24, 25, 26, 27, 28}
R = {4, 7, 10, 13, 16, 19}
If p is the standard deviation of set P, q is the standard deviation of set Q, and r is the standard deviation of set R, which of the following must be true?	Options:
A) p<q<r
B) p<r<q
C) q<r<p
D) q<p<r
E) r<q<p

Solution: P has difference by 2.   Q has difference of 22 between 2 and 24 and for other numbers we have difference by 1.   R has difference 3.   We need to take the SD as per the difference.   So Q > R > P. Option p<r<q has this set   ANSWER:p<r<q
Answer: B
A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
Select the correct option.
A) 24 B) 46 C) 67 D) 28 E) 29

Solution: 2/7 - 1/x = 1/4   x = 28   Answer: 28
Answer: D
Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?
Options
A) 3/7 B) 4/7 C) 5/7 D) 5/11 E) 6/11

Solution: Let A be the event ‘the number on the card drawn is even’ and B be the   event ‘the number on the card drawn is greater than 3’. We have to find P(A|B).   Now, the sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}   Then A = {2, 4, 6, 8, 10}, 4/7 = {4, 5, 6, 7, 8, 9, 10}   and A n 4/7 = {4, 6, 8, 10}   Also P(A) = 5/2, P(4/7) = 7/10 and P(A n 4/7) = 4/10   Then P(A|4/7) = P(A n 4/7)/P(4/7) = (4/10)/(7/10) = 4/7   4/7)
Answer: B
A 14 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?	Choose the correct choice from the following:  A) 12  B) 20  C) 88  D) 77  E) 4

Solution: 1: 2/5 = 5: 2   2/7 * 14= 
2/7 * 14 = 4
4   Answer: 4
Answer: E
30 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work? Choose one: A) 12 days B) 11 days C) 10 days D) 16 days E) 13 days

Solution: C   10 days   Total work to be done = 30 * 40= 
30 * 40 = 1_200
1200   Let 20 men leave the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.   40P + (20 * 40)= 1200   40P = 400 => P = 10 days
Answer: C
What is the probability of flipping a fair coin four times and the coin landing on heads on at least two flips?  Choose the correct choice from the following answers: A) 1/16 B) 15/16 C) 9/16 D) 11/16 E) 7/16

Solution: There are totally 16 outcomes   Chances of all being heads is 1/16   Chances of 3 heads is = 4c34c3 ways = 4/16   Chances of 2 heads is 4c24c2 ways = 6/16   hence 1/16+4/16+6/16=11/161/16+4/16+6/16=11/16   Ans: "11/16"
Answer: D
There are total 15 people. 7 speaks French and 8 speaks Spanish 3 do not speak any language. Which part of total people speaks both languages. Select the correct option
A) 3/4
B) 1/5
C) 1/6
D) 3/8
E) 1/3

Solution: If x no of people speak both languages then   15 = 8+7-x+3   x=3   so part of total people speaks both languages = 3/15 =1/5   ANSWER:1/5
Answer: B
The ages of two persons differ by 16 years. If 6 years ago , the elder one be 3 times as old as the younger one, find their present ages .
Choose the correct answer:
A) 10 years and 18 years B) 18 years and 26 years C) 20 years and 28 years D) 14 years and 30 years E) 16 years and 25 years

Solution: Explanation :   Sol. Let the age of the younger person be xx years   Then , age of the elder person = (x+16)(x+16) years   âˆ´âˆ´ 3(xâˆ’6)=(x+16âˆ’6)3(x-6)=(x+16-6)   â‡” 3x âˆ’18=x+10â‡” 3x -18=x+10   â‡” 2x=28â‡” 2x=28   â‡” x=14â‡” x=14   Hence, their present age are 14 years and 30 years .   ANSWER IS 14 years and 30 years
Answer: D
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%? Select:
A) 20%  B) 30%  C) 32%  D) 73%  E) 84%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 80   2/3 SP1 = 80   SP1 = 120   100 ---20 => 20%   20%nswer:20%
Answer: A