RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A man can swim in still water at 7.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
A.1.7
B.1.4
C.2.5
D.1.5
Answer: C.2.5
Explanation: M = 7.5
S = x
DS = 7.5 + x
US = 7.5 + x
7.5 + x = (7.5 - x)2
7.5 + x = 15 -2x
3x = 7.5
x = 2.5
Answer: C
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
A.2.89
B.2.88
C.2.82
D.2.87
Answer: B.2.88
Explanation: M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer:B
Question: The ratio of two numbers is 3:4 and their sum is 14. The greater of the two numbers is?
A.12
B.14
C.16
D.8
Answer: D.8
Explanation: 3:4
Total parts = 7
= 7 parts --> 14 (7 Ã— 2 = 14)
= 1 part ---->2 (1 Ã— 2 = 2)
= The greater of the two number is = 4
= 4 parts ----> 2 (2 Ã— 4 = 8)
D)
Question: The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
A.52.7
B.52.9
C.52.4
D.52.5
Answer: D.52.5
Explanation: Sum of the marks for the class of 30 students = 30 * 40 = 1200
Sum of the marks for the class of 50 students = 50 * 60 = 3000
Sum of the marks for the class of 80 students =
1200 + 3000 = 4200
Average marks of all the students = 4200/80 = 52.5
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
A.878
B.768
C.800
D.778
Answer: C.800
Explanation: 25 = E/(1000 - E) * 100
1000 - E = 4E
1000 = 5E => E = 200
1000 - 200 = 800
Answer:C
Question: A man saves Rs 150 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
A.Rs 452
B.Rs 492.01
C.Rs 496.52
D.Rs 496.03
Answer: C.Rs 496.52
Explanation: Explanation:
=[150(21/20Ã—21/20Ã—21/20)+150(21/20Ã—21/20)+150(21/20)]=496.52
Option C
Question: A number when divided by 214 gives a remainder 35, what remainder will be obtained by dividing the same number 14?
A.7
B.10
C.11
D.2
Answer: C.11
Explanation: Explanation:
214 + 35 = 249/14 = 11 (Remainder)
Answer: C
Question: If x is chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, then what is the probability that xy will be even?
A.5/6
B.2/6
C.2by3
D.1/2
Answer: C.2by3
Explanation: S = {(1,5), (1,6), (1,7), (2,5), (2,6), (2,7), (3,5), (3,6), (3,7), (4,5), (4,6), (4,7)}
Total element n(S) = 12
xy will be even when even x or y or both will be even.
Events of xy being even is E.
E = {(1,6), (2,5), (2,6), (2,7), (3,6), (4,5), (4,6), (4,7)}
n(E) = 8
P(E) = n(E)/n(S)
= 8/12
= 2/3
ANSWER:C
Question: A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 5 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?
A.0.5< t < 0.75
B.1.75< t < 2.0
C.1.0 < t < 1.5
D.2.5 < t < 3.0
Answer: C.1.0 < t < 1.5
Explanation: D=2, and R=1
circumference thus is 2pi miles
we know that she walked 5mph
knowing the formula rt=D, we can deduce that t= D/r
D is 2pi miles and r is 5mph
t = 2pi/5
pi can be rewritten as 22/7
2*22/7 = 44/7 and multiply this by 1/5 = 44/35. This is greater than 1, but less than 1.5, therefore, 1<t<1.5. Answer choice C.
Question: A horse and cow were sold for Rs.12000 each. The horse was sold at a loss of 20% and the cow at a gain of 20%. The entire transaction resulted in :
A.No loss or gain
B.Loss of Rs.1000
C.Gain of Rs.1000
D.Gain of Rs.2000
Answer: B.Loss of Rs.1000
Explanation: Explanation:
In the special case of profit and loss percentages are equal and Selling price is same, then the transaction always results in Loss. This loss percentage is given by a simple formula −(x/10)2
So in this case, Profit% = Loss% = 20. So x = 20
Loss percentage = −(20/10)2=−4
Total S.P = Rs.24000
Cost price = 24000×100/96 = 25000
Loss = Rs.1000
Correct Option : B
Question: The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?
A.77 years
B.67 years
C.20 years
D.55 years
Answer: C.20 years
Explanation: Explanation:
Clue : (60 - x) - 6 = 5(x - 6)
Answer: C
Question: In how many ways can you seat 7 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
A.720
B.1720
C.2880
D.5040
Answer: C.2880
Explanation: Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 4 chairs to sit. The remaining 6 people can sit in 6! ways. Thus the # of arrangements is 4*6! = 2,880.
Answer: C.
Question: Which of the following fractions is the largest?
A.5/6
B.11/14
C.12/15
D.17/21
Answer: A.5/6
Explanation: another way is by taking LCM of denominators(2*3*5*7)
(a) 175 (as lcm is 2*3*5*7 where 2*3 part is already in denominator just multiply 5*7 to numerator) ,similarly
(b) 165
(c)168
(d)170
(e)174
clearly (a) is largest..
Ans A
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
A.17608
B.17606
C.17604
D.17600
Answer: D.17600
Explanation: Price at which the TV set is bought = Rs. 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = Rs. 15625
The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000
The price at which the TV should be sold to get a profit of 10% if no discount was offered = 16000 * 110/100 = Rs. 17600.Answer: D
Question: A merchant has announced 25% rebate on prices of ready-made garments at the time of sale. If a purchaser needs to have a rebate of Rs. 400, then how many shirts, each costing Rs. 320, should he purchase?
A.10
B.7
C.6
D.5
Answer: D.5
Explanation: Solution: Discount on one shirt,
= 25% of 320 = 320*25/100 = Rs. 80.
Hence, number of shirt he must buy to get a rebate of Rs. 400 = 400/80 = 5.
Answer: Option D
Question: A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are?
A.Rs. 10,500, Rs. 13,500, Rs. 16,500
B.Rs. 10,500, Rs. 13,500, Rs. 16,509
C.Rs. 10,500, Rs. 13,500, Rs. 16,555
D.Rs. 10,500, Rs. 13,500, Rs. 16,506
Answer: A.Rs. 10,500, Rs. 13,500, Rs. 16,500
Explanation: A:B:C = 35000 : 45000 : 55000 = 7:9:11
A's share = 40500 * 7/27 = Rs. 10500
B's share = 40500 * 9/27 = Rs. 13500
C's share = 40500 * 11/27 = Rs. 16500
Answer: A
Question: If k is a positive even integer, what is the smallest possible value of k such that 3675*k is the square of an integer?
A.3
B.9
C.12
D.15
Answer: C.12
Explanation: 3675=31∗52∗72
Now , is the most important part of this question
K must be even ( negate options A, B and D ) W e are left with C and E
Try one to confirm the answer...
Let's try (E)
20=22∗51
3675∗20=22∗31∗53∗72 ( Can not square of an Integer )
So, Answer must be (C)....
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 80 miles per hour. At 2 o’clock the faster train is 20 miles behind the slower one. How far apart are the two trains at 5 o'clock?
A.60 miles
B.80 miles
C.90 miles
D.130 miles
Answer: D.130 miles
Explanation: Answer = D. 130 miles
Relational speed = 130 - 80 = 50 miles per hour
In 3 hours, difference = 50 * 3 = 150 miles
Fast train trailing 20 miles, so effective difference = 150 - 20 = 130 miles
Question: An oil cylinder was 3/4th full. When SIX bottles of oil is poured into it, it is 4/5th full. How many bottles of oil
can the full cylinder hold?
A.120
B.115
C.140
D.130
Answer: A.120
Explanation: (4/5 -3/4) cylinder is filled by 6 bottles
0.8 -0.75 = 0.05 cylinder is filled by 6 bottles
1 cylinder is filled by 6/0.05 = 120 bottles
ANSWER:A
Question: How many cuboids of length 5 m, width 6 m and height 3 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height.
A.4
B.6
C.10
D.8
Answer: B.6
Explanation: (18 Ã— 15 Ã— 12)/(5 Ã— 3 Ã— 2) = 6
Answer is B.
Question: A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 14 men leave the bus and seven women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
A.63
B.30
C.36
D.45
Answer: A.63
Explanation: Explanation:
Originally, let number of women = x. Then, number of men = 2x.
So, in city Y, we have : (2x - 14) = (x + 7) or x = 21.
Therefore Total number of passengers in the beginning = (x + 2x) = 3x = 63.
Answer: A
Question: A box contains 10 black,5 red and 4 green marbles. 3 marbles are drawn from the box at random. What is the probability that all the three marbles are of the same color?
A.143/969
B.134/969
C.120/969
D.19/969
Answer: B.134/969
Explanation: Explanation:
Total marbles in a box = 10 black + 5 red + 4 green marbles = 19 marbles
3 marbles are drawn from 19 marbles at random. Therefore,
n(S) = 19C3= 969 ways
Let A be the event that 2 marbles drawn at random are of the same color. Number of cases favorable to the event A is
n(A) = 10C3+ 5C3 + 4C3 = 120 +10 + 4 = 134
Therefore, by definition of probability of event A,
P(A) = n(A)/n(S) = 134/969
ANSWER:B
Question: The cost price of 12 articles is equal to the selling price of 10 articles. What is the profit percent?
A.10%
B.20%
C.30%
D.40%
Answer: B.20%
Explanation: 10*SP = 12*CP
SP = 1.2*CP
The profit percent is 20%.
The answer is B.
Question: Calculate 469157 x 9999 = ?
A.4586970843
B.4686970743
C.4691100843
D.4586870843
Answer: C.4691100843
Explanation: Answer
469157 x 9999 = 469157 x (10000-1)
= 4691570000 - 469157
= 4691100843.
Option: C
Question: For any non-zero a and b that satisfy |ab| = ab and |C| = -c
|b - 4| + |ab - b| = ?
A.a) ab - 4
B.b) b - 2b + 4
C.c) ab + 4
D.d) 2b - ab - 4a
Answer: B.b) b - 2b + 4
Explanation: |a| = -a Suggests that 'a' is Negative
|ab| = ab Suggests that 'ab' is Positive
'ab' is Positive Suggests that 'a' and 'b' have same Sign i.e. either both positive or both negative
But since 'a' is Negative therefore 'b' is Negative too.
Since b is negative so |b - 4| = -b+4
Since ab is Positive and b is Negative so |ab - b| = ab - b
i.e. |b - 4| + |ab - b| = -b+4 + ab - b =ab - 2b + 4
Answer: Option B
Question: Average of all prime numbers between 40 to 50
A.37
B.37.8
C.43.6
D.39.8
Answer: C.43.6
Explanation: Explanation:
Prime numbers between 40 and 50 are:
41, 43, 47
Average of prime numbers between 40 to 50 will be
(41+43+47 / 3)=131 / 3 =43.6
Option C
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 51 percent were employees. What percent were stockholders, who were not employees?
A.52
B.49
C.54
D.55
Answer: B.49
Explanation: I came up with the same answer choice B, but my approach was slightly different!
51% were employees which shall cover those who were only employees and those who were both shareholders and employees.
Thus, the number of attendants who were only shareholders is 100% - 51% = 49%.
Question: What is the greatest 6-digit number when divided by 6, 7 ,8 , 9, and 10 leaves a remainder of 4, 5, 6, 7, and 8 respectively?
A.456780
B.678910
C.997479
D.997918
Answer: D.997918
Explanation: When you divide a positive integer by 10, the remainder will just be the units digit. We know the remainder is 8 when we divide by 10, so D is the only possible answer.
Question: There are 6 boxes numbered 1, 2,3,4,5 and 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball & the boxes containing green balls are consecutively numbered. The total no. of ways in which this can be done is?
A.18
B.19
C.21
D.25
Answer: C.21
Explanation: If only one of the boxes has a green ball, it can be any of the 6 boxes. So, this can be achieved in 6 ways.
If two of the boxes have green balls and then there are 5 consecutive sets of 2 boxes. 12, 23, 34, 45, 56.
Similarly, if 3 of the boxes have green balls, there will be 4 options.
If 4 boxes have green balls, there will be 3 options.
If 5 boxes have green balls, then there will be 2 options.
If all 6 boxes have green balls, then there will be just 1 options.
Total number of options = 6 + 5 + 4 + 3 + 2 + 1 = 21
C
Question: There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be weighed for finding out the haevy ball.
A.7
B.8
C.9
D.10
Answer: B.8
Explanation: The simple logic is to divide total balls into three sets. Weigh any two sets against each other(these two must contain equal number of balls). From this we can identify which set contains the heavy ball. Divide this set into three and repeat until you find the heavier ball. Under this logic, the minimum number of weighings required turns out to be the smallest integer greater than or equal to log(n), where n is the total number of balls and the base of logarithm is 3. Or simply [log(n)/log(3)] with any base. Here, n = 6561. log 6561 / log 3 = 8
ANSWER:B
Question: A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. When A done the work?
A.10 days
B.12 days
C.13 days
D.9 days
Answer: A.10 days
Explanation: B+C ==>1/9+1/12 = 7/36
B ,C =in 3 days = 7/36*3 = 7/12
remaining work = 1-7/12 = 5/12
1/24 work is done by A in 1 day
5/12 work is done A 24*5/12 = 10 days
ANSWER A
Question: What is the area of a square with perimeter 12P ?
A. 16p^2
B. 4P
C. 9P^2
D. P/16
Answer: C. 9P^2
Explanation: Each side is 3p
A = (3p)^2 = 9p^2
Answer C
Question: Average of first five multiples of 3 is
A.9
B.11
C.13
D.15
Answer: A.9
Explanation: Explanation:
Average=3(1+2+3+4+5) / 5=45 / 5=9
Option A
Question: A bag contains 7 red balls, 5 green balls and 6 white balls. A ball is drawn at
random from the box. What is the probability that the ball drawn is either red or green?
A.2/3
B.3/5
C.1/5
D.7/15
Answer: A.2/3
Explanation: Total number of balls = (7 + 5 + 6) = 18.
Therefore, n(S) = 18.
Let E1 = event of drawing a red ball.
and E2 = event of drawing a green ball.
Then, E1 n E2 = f.
P (E1 n E2) = P(E1) + P(E2) = (7/18 + 5/18) = 2/3.
ANSWER:A
Question: The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number?
A.7
B.8
C.5
D.10
Answer: A.7
Explanation: The total of five numbers = 5x9 = 45
The total of first 2 and last 2 numbers is = 2 X 7+2 X 12 = 38
So, the middle number is (45 - 38 ) = 7
A
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
A.78 years
B.22 years
C.88 years
D.66 years
Answer: B.22 years
Explanation: Let's Son age is x, then Father age is x+24.
=> 2(x+2) = (x+24+2)
=> 2x+4 = x+26
=> x = 22 years
Answer: B
Question: What is the smallest 6 digit number exactly divisible by 111?
A.100010
B.100012
C.100011
D.100013
Answer: C.100011
Explanation: Smallest 6 digit number = 100000
100000/111 = 900, remainder = 100. Hence 11 more should be added to 100000
to get the smallest 6 digit number exactly divisible by 111
=> smallest 6 digit number exactly divisible by 111 = 100000 + 11 = 100011
Answer is C
Question: The equation x/y - 2/5 = 0 is equivalent to each of the following EXCEPT
A.(x - y)/y = -3/5
B.(5x - 3y)/y = 21/5
C.(x + 3y)/y = 17/5
D.(x + y)/x = 7/2
Answer: B.(5x - 3y)/y = 21/5
Explanation: x/y - 2/5 = 0
5x=2y
x= 2/5 * y or y = 5/2 *x
plug in x or y depending on the equation. all expressions are true except for
B. (5x - 3y)/y = 21/5
where y=-21
B. (5x - 3y)/y = 21/5
ANSWER:B
Question: A train travels from New York to Chicago, a distance of approximately 840 miles, at an average rate of 60 miles per hour and arrives in Chicago at 7:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
A.3:00
B.4:00
C.5:00
D.6:00
Answer: D.6:00
Explanation: 7:00 in evening in Chicago = 8:00 in evening in New York. So, the train was in Chicago 8:00 in the evening, New York time.
The trip took T=D/R=840/60=14 hours. Therefore, the train depart from New York at 8:00 - 14 hours = 6:00 in the morning, New York time.
Answer: D.
Question: A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard?
A.87
B.92
C.12
D.10
Answer: D.10
Explanation: Explanation:
1 m2 ---- 1/2
? ----- 600 => 1200 m2
4x * 3x = 1200 => x = 10
Answer: Option D
Question: In how many ways the letters of the word RAIXBON be arranged?
A.4500
B.5479
C.6478
D.5040
Answer: D.5040
Explanation: Total ways of arranging the letters = 7! = 5040 ways.
D)
Question: In Lulu company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company?
A.43.0
B.45.5
C.46.0
D.49.0
Answer: A.43.0
Explanation: In Lulu company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year 50 and 51 employee will be each 43K. hence median = (43K+43k)/2=A
Question: The average age 6 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
A.14 years
B.17 years
C.18 years
D.12 years
Answer: D.12 years
Explanation: 6 * 2
= 12
Answer:D
Question: How many 3-digit positive integers are there, where each digit is positive, and no two adjacent digits are same?
A.576
B.3024
C.4096
D.4608
Answer: A.576
Explanation: First digit.. 9 posibilities
Second digit, 8 possibilities
third digit, 8 possibilities
9*8*8 = 576.
A
Question: 15.06 * 0.001 = ?
A.15060000
B.0.001506
C.0.01506
D.0.1506
Answer: C.0.01506
Explanation: Explanation:
Clearly after decimal 5 digits should be there.
Option C
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
A.877m
B.180m
C.786m
D.165m
Answer: B.180m
Explanation: Length of the train be ‘X’
X + 120/15 = X + 180/18
6X + 720 = 5X + 900
X = 180m
Answer: B
Question: In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 2) lies inside the circle and the point (5, -3) lies outside the circle. If the radius r of the circle r is an integer then r=
A.6
B.5
C.4
D.3
Answer: A.6
Explanation: Can be solved without much calculations.
You are given that (-2,-3) is the center of the circle. Point (5,-3) lies inside the circle ---> the radius is lesser than distance of (-2,-3) from (5,-3) ---> lesser than 7 units but the radius will also be greater than the distance of (-2,-3) from (-2,2) ----> greater than 5 units.
Thus the radius is >5 but <7and as it is an integer, the only possible value of radius = 6 units.
A is the correct answer.
Question: Mark and Cody invest in a business and each put in $12000. After 3 months, Cody withdraws half of his capital. How should they share the profits after 12 months?
A.10:7
B.3:2
C.8:5
D.4:3
Answer: C.8:5
Explanation: Mark invests $12000 for 12 months, but Cody invests $12000 for the first 3 months and then withdraws $6000. So, the investment of Cody for remaining 9 months is $6000 only.
Mark:Cody
12000*12 : (12000*3) + (6000*9)
144000 : 90000
Mark:Cody = 8:5
Answer: C
Question: Sum of two numbers is 63. Their difference is 1/8 of their sum. their L.C.M is
A.231
B.153
C.351
D.345
Answer: C.351
Explanation: Explanation:
Let the numbers be x and y
According to the problem
X + y = 63
x - y = 1/8 ( x+y)
x-y = 1/8 * 63, x-y = 9
2x = 72, x= 36 and y = 27
L.C.M of 36 and 27 is 351
Answer: Option C
Question: If x,p,q, and r are positive integers and (p)×(q)×(r)=x^2, which of the following could be the values of p,q, and r?
A.3, 16, 25
B.9, 25, 24
C.2,16, 32
D.2, 9, 16
Answer: C.2,16, 32
Explanation: This is one of those questions where using the given options is fastest way to get the solution. We need to find a set where 3 numbers can be paired into 2 pairs of some numbers because we need a product which is a square number.
C fits the bill. 2*16*32 = 2*4*4*8*4 =4*4*8*8
ans C
Question: Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 10 more revolutions than gear P?
A.10
B.12
C.15
D.20
Answer: D.20
Explanation: Gear Q makes 30 more revolutions each 60 seconds.
The time to make 10 = 30/3 more revolutions is 60/3 = 20 seconds.
The answer is D.
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. What is the present age of the husband?
A.30
B.40
C.20
D.50
Answer: B.40
Explanation: Let the present age of the husband = h
Present age of the wife = w
Present age of the child = c
3 years ago, average age of husband, wife and their child = 27
=> Sum of age of husband, wife and their child before 3 years = 3 × 27 = 81
=> (h-3) + (w-3) + (c-3) = 81
=> h + w + c = 81 + 9 = 90 --- equation(1)
5 years ago, average age of wife and child = 20
=> Sum of age of wife and child before 5 years = 2 × 20 = 40
=> (w-5) + (c-5) = 40
=> w + c = 40 + 10 = 50 --- equation(2)
Substituting equation(2) in equation(1)
=> h + 50 = 90
=> h = 90 - 50 = 40
i.e., Present age of the husband = 40
Answer is B.
Question: Factor: x4y3 â€“ 16y3
A.A) 3y3(x2 + 4)(x + 2)(x -2)
B.B) y3(x2 + 4)(x + 2)(x -2)
C.C) 3y3(x2 + 4)(x + 2)(x -3)
D.D) 3y3(x2 + 4)(x + 3)(x -2)
Answer: B.B) y3(x2 + 4)(x + 2)(x -2)
Explanation: x4y3â€“ 16y3.
= y3(x4 â€“ 16).
= y3[(x2)2 - 42].
= y3(x2 + 4)(x2 - 4).
= y3(x2 + 4)(x2 - 22).
= y3(x2 + 4)(x + 2)(x -2).
Answer: (B) y3(x2 + 4)(x + 2)(x -2)
Question: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
A.18 days
B.11 days
C.77 days
D.188 days
Answer: A.18 days
Explanation: 8/12 + 6/x = 1
X = 18 days
Answer: A
Question: A man buys a truck for Rs. 2,50,000. The annual repair cost comes to 2% of the price of purchase. Besides, he has to pay an annual tax of Rs. 2000. At what monthly rent must he rent out the truck to get a return of 15% on his net invests of the first year?
A.Rs. 3359
B.Rs. 2500
C.Rs. 4000
D.Rs. 3212.5
Answer: D.Rs. 3212.5
Explanation: Solution: The total cost for the year = 250000+2% of 2500000+2000 = Rs. 257000.
For getting return of 15% he must earn = 257000*15/100 = Rs. 38550 per year.
Then, monthly rent = 38550/12 = Rs. 3212.5.
Answer: Option D
Question: The average of 13 numbers is 14.8. If the average of the first seven numbers is 14.6 and that of the last seven numbers is 14.4,then the middle number is?
A.11.6
B.12.6
C.10.6
D.9.6
Answer: C.10.6
Explanation: Middle number = 14.6*7 + 14.4*7- 14.8*13 = 102.2+100.8-192.4=10.6
Answer is C
Question: If x is 20 percent more than y and y is 70 percent less than z, then x is what percent of z?
A.500%
B.250%
C.500/3%
D.36%
Answer: D.36%
Explanation: Z = 100 ; Y = 30 so X = 36
X as % of Z = 36/100 * 100 => 36%
Answer will be (D)
Question: The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
A.Rs.3601
B.Rs.3618
C.Rs.3600
D.Rs.3619
Answer: C.Rs.3600
Explanation: Manager's monthly salary
= Rs. (1600 * 21 - 1500 * 20)
= Answer:C
Question: 1/6 = 4/5 . which method did you use to determine whether this proportion is true or false?
A.true
B.neutral
C.false
D.not sure
Answer: A.true
Explanation: 1/6= 3/18. cross multiplication: 1 * 18 = 18, 3 * 6= 18,
we see that 18 are not equal to 18. so there is proportion. corrcet answer: (A)