RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is a Multiple of 5
II. P is a multiple of 17
III. P is a multiple of 19
A.I only
B.II only
C.III only
D.None of the above
Answer: A.I only
Explanation: The correct answer is A.
Question: Find the value of 72519 x 9999 = m?
A.246574453
B.345657673
C.455767868
D.725117481
Answer: D.725117481
Explanation: 72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481
D
Question: How many of the integers between 20 and 80 are even ?
A.21
B.30
C.11
D.10
Answer: B.30
Explanation: Number start between 20 to 80 is 60 numbers
half of them is even..which is 30
ANSWER:B
Question: A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that the gets a profit of Rs.12?
A.3/8
B.5/8
C.3/4
D.1/8
Answer: A.3/8
Explanation: When a person tosses two heads and one tail, he will get Rs.12. When three coins are tossed, total outcomes = 23 = 8. Favourable out comes i.e, two heads and one tail is = {HHT, HTH, THH} = 3ways. Therefore, required probability = 3/8.
ANSWER:A
Question: A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together.
A.20 Days
B.22 Days
C.21.5 Days
D.22.5 Days
Answer: D.22.5 Days
Explanation: If A completes a work in 1 day, B completes the same work in 3 days
Hence, if the difference is 2 days, B can complete the work in 3 days
=> if the difference is 60 days, B can complete the work in 90 days
=> Amount of work B can do in 1 day= 1/90
Amount of work A can do in 1 day = 3 × (1/90) = 1/30
Amount of work A and B can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45
=> A and B together can do the work in 45/2 days = 22 ½ days
Answer is D.
Question: A man walks West 10 miles, then turns right towards North and walks another 10 miles. How far is he from the place he started walking.
A.11.11
B.10
C.14.14
D.16.15
Answer: C.14.14
Explanation: As we can see the man moves in configuration of a right angle triangle. The man has walked on the sides and now we need to calculate the length of the hypotenuse which is the distance of the man from the starting point to his current location.
Since we know the length of two sides, we can find the length of hypotenuse.
As per pythagoras:
a^2+b^2=c^2
a = 10
b = 10
10^2 + 10^2 = c^2
100+100 = c^2
200 = c^2
c= squareroot 200
c=14.14 miles
Ans:C
Question: If -1 < x < 0, which of the following must be true? I. x^8 < x^3 II. x^4 < 1 – x III. x^3 < x^2
A.III only
B.II only
C.I only
D.I,II,III only
Answer: D.I,II,III only
Explanation: Answer : D
Question: An investor bought two shares of stock, which he sold for $60 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had:
A.a profit of $10
B.a profit of $5
C.a loss of $5
D.a loss of $10
Answer: C.a loss of $5
Explanation: The cost of the first stock was 60/1.2=50, so the profit from it is 10.
The cost of the second stock was 60/0.8=75, so loss from it is 15.
Overall the loss is $5.
The answer is C.
Question: Working alone, machine X can manufacture 1,000 nails in 15 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
A.3 9/17
B.5 1/3
C.7
D.7 1/2
Answer: D.7 1/2
Explanation: rate of machine x = 1000/15
(1000/15 + y)5=1000
y=200-200/3=400/3
400/3 * t = 1000
t=7 1/2
D. 7 1/2
Question: John makes $60 a week from his job. He earns a raise andnow makes $75 a week. What is the % increase?
A.16.12%
B.25%
C.16.56%
D.17.66%
Answer: B.25%
Explanation: Increase = (15/60)*100 = (1/4)*100 = 25%.
B
Question: For 1rs 6p interest
wat will be for 2000rs?
A.45Rs
B.150Rs
C.140Rs
D.120Rs
Answer: D.120Rs
Explanation: For 1rs , 6p interest
for 2000rs, x
x= 2000/1 * 6p ==> 12000 paise
To express in rs, 12000/100 = 120rs
ANSWER:D
Question: A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what R percent of the list price is the lowest possible sale price?
A.20
B.25
C.30
D.40
Answer: D.40
Explanation: Let the list price be 2x
for min sale price, the first discount given should be 50%, 2x becomes x here
now, during summer sale additional 20% off is given ie sale price becomes 0.8x
it is given lise price is $80
=> 2x = 80
=> x = 40
and 0.8x = 32
so lowest sale price is 32, which R is 40% of 80
hence, D is the answer
Question: If a certain sample of data has a mean of 29.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
A.(26.0; 36.5)
B.(24.5; 31.0)
C.(22.0; 35.5)
D.(26.5; 36.0)
Answer: C.(22.0; 35.5)
Explanation: The standard deviation is 2, so 2.5 standard deviations would be (2.5)(2) = 5.
The values between 24 and 34 are within 2.5 standard deviations from the mean.
The answer is C.
Question: If A and b are both odd numbers which of the following is an even number?
A.a+b
B.a+b+1
C.ab
D.ab+2
Answer: A.a+b
Explanation: Solution
Sum of two odd numbers is always even.
Answer A
Question: A division of a company consists of three men and five women. If two of these employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
A.1/4
B.2/9
C.3/11
D.5/14
Answer: D.5/14
Explanation: Total number of ways to select 2 members = 8C2 = 28
Total number of ways to select 2 females = 5C2 = 10
P(two females) = 10/28 = 5/14
The answer is D.
Question: If integers d and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. db + b^2
II. (d + b)^2
III. d + b
A.I only
B.II only
C.III only
D.I and II only
Answer: B.II only
Explanation: Factors of 30 are: 1, 2, 3, 5, 6, 10, 15, and 30.
I. db + b^2 --> if d=1 and b=2 then db + b^2=6, which is a factor of 30. OK;
II. (d + b)^2 --> (d + b)^2 is a perfect square, no perfect square (but 1) is a factor of 30. DISCARD;
III. d + b --> if d=1 and b=2 then d + b=3, which is a factor of 30. OK.
Answer: B.
Question: Flora and Ed will throw five dice each. The score is the sum of points on all five dice. If Flora scores 17 in her attempt, what is the probability that Ed will outscore Flora in his attempt?
A.3/4
B.2/3
C.1/2
D.1/3
Answer: C.1/2
Explanation: The expected value of each die is 3.5 points.
The expected value of 5 dice is 5*3.5=17.5 points.
Since this is the expected value, Ed is equally likely to get a score above 17.5 points as below 17.5 points. Then the probability of scoring 18 or more points is 50%.
P(Ed wins)=1/2
The answer is C.
Question: The milk level in a rectangular box measuring 50 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
A.100
B.250
C.750
D.4687.5
Answer: D.4687.5
Explanation: 6 inches = 1/2 feet (there are 12 inches in a foot.), so 50*25*1/2=625 feet^3 of milk must be removed, which equals to 625*7.5=4687.5 gallons.
Answer: D.
Question: TWO WORKERS A AND B ARE ENGAGED TO DO A WORK. A WORKING ALONE TAKES 8 HOURS MORE TO COMPLETE THE JOB THAN IF BOTH WORKED TOGETHER. IF B WORKED ALONE, HE WOULD NEED 4 1/2 HOURS MORE TO COMPLETE THE JOB THAN THEY BOTH WORKING TOGETHER. WHAT TIME WOULD THEY TAKE TO DO THE WORK TOGETHER?
A.4 HOURS
B.5 HOURS
C.6 HOURS
D.7 HOURS
Answer: C.6 HOURS
Explanation: LET A AND BE TOGETHER TAKE X HOURS TO COMPLETE THE WORK. THEN, A ALONE TAKES (X+8) HRS AND B ALONE TAKES (X+9/2) HRS TO COMPLETE THE WORK. THEN,
1/(X+8)+1/(X+9/2)=1/X, 1/(X+8)+2/(2X+9)=1/X
X(4X+25)=(X+8)(2X+9)
2X^2=72, X^2=36, X=6
Correct Option : C
Question: A total of 40 men and 25 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
A. 31
B. 30.2
C. 32
D. 32.5
Answer: B. 30.2
Explanation: Let Aw = average age of women
Average = (Number of men X average age of men + Number of women X average age of women)/total number of people
35 * 65 = 40 * 38 + 25 * Aw
=>2275 = 1520 + 25 Aw
=> 25 Aw = 755
=>Aw = 30.2
Answer B
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
A.50
B.99
C.88
D.77
Answer: A.50
Explanation: Let the length of each train be x m.
Then, distance covered = 2x m.
Relative speed = 46 - 36 = 10 km/hr.
= 10 * 5/18 = 25/9 m/sec.
2x/36 = 25/9 => x = 50.
Answer: A
Question: A person has to cover a distance of 100km in 10hour. If he covers one half of the distance in half of the total time; to cover the remaining distance in the remaining time, his speed must be?
A.20km/hr
B.15km/hr
C.25km/hr
D.10km/hr
Answer: D.10km/hr
Explanation: Remaining distance = 50km
Remaining time = 1/2 * 10 = 5 hours
Required speed = 50*5 = 10km/hr
Answer is D
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 5 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
A.21
B.22
C.23
D.24
Answer: D.24
Explanation: Let the average age of the whole team be x years.
11x - (26 + 31) = 9 (x - 1)
11x - 9x = 48
2x = 48
x = 24.
The average age of the team is 24 years.
The answer is D.
Question: Rajesh is 20 years old and Mary is 30years old. How many years ago was the ratio of their ages 2:5?
A.10
B.15
C.20
D.25
Answer: C.20
Explanation: Suppose the ratio was 2:5, x years ago
20-x / 30-x = 2/5
2x = 40
x = 20
Answer is C
Question: If A is the least common multiple of 90,196, and 300, which of the following is NOT a factor of A?
A.600
B.700
C.900
D.2,100
Answer: A.600
Explanation: IF A is the least common multiple of 90,196 and 300, which of the following is NOT a factor of A?
A- 600
B- 700
C- 900
D- 2100
E- 4900
90 = 2 * 3 * 3 * 5
196 = 2 * 2 * 7 * 7
300 = 2 * 2 * 3 * 5 * 5
LCM = 2 * 2 * 3 * 3 * 5 * 5 * 7 * 7
(TWO 2, TWO 3, TWO 5, TWO 7)
600 = 2 * 2 * 2 * 3 * 5 * 5
700 = 2 * 2 * 5 * 5 * 7
900 = 2 * 2 * 3 * 3 * 5 * 5
2100 = 2 * 2 * 3 * 5 * 5 * 7
4900 = 2 * 2 * 5 * 5 * 7 * 7=A
Question: A car covers a distance of 782 km in 8 hours. Find its speed?
A.104 kmph
B.89 kmph
C.288 kmph
D.97 kmph
Answer: D.97 kmph
Explanation: 782/8
= 97 kmph
Answer: D
Question: From the set of numbers x, y, t, z and w, how many different combinations can we have without the t and z in them? Ex:. (x,y), (x), (w,y,x), etc and (x,y)=(y,x)
A.6
B.14
C.15
D.16
Answer: A.6
Explanation: Another way: Any letter (x, y, w) can be included or not. So, we have 2^3 combinations - 2 empty combination = 6 combinations
A
Question: 16 boys or 24 girls can construct the wall in 6 days. the number of days that 4 boys and 12 girls Will take to construct?
A.7 days
B.14 days
C.6 days
D.8 days
Answer: D.8 days
Explanation: Explanation:
16 boys =24 girls, 1 boy = 24/16 girls
1 boy = 6/4 girls
4 boys + 12 girls = 4 Ã— 6/4 + 12 = 6+ 12 = 18 girls
8 days to complete the work
Answer: Option D
Question: In a candy dish the ratio of red to yellow candies is 2:5, the ratio of red to green candies is 3:8, and the ratio of yellow ot blue candies is 9:2.what is the maximum total number W of yellow and green candies combined if the maximum combined number of red and blue candies is fewer than 85?
A.144
B.189
C.234
D.279
Answer: D.279
Explanation: Given that Red is to yellow is 2:5, Red is to green is 3:8 and Yellow is to blue is 9:2.
Therefore, the total number of red, yellow, blue and green balls will be 18x, 45x, 10x and 48x respectively, where x is a constant.
If the combined number of red and blue balls is fewer than 85, i.e. max 84 balls, then the maximum number of yellow and green balls will be 279.
(10x+18x) < 85.
28x < 85, i.e. 28x <= 84 (Since number of balls cannot be in fraction). Thus, x<=3.
(45x+48x) = 93x.
Max (93x) W= 279.
Answer is D.
Question: What is the Compound Interest on Rs.7000 at 8.5% p.a. compounded half-yearly for 5 years.
A.3616.5
B.3613.5
C.3313.5
D.3616.5
Answer: B.3613.5
Explanation: Compound interest : A = P(1 + r/n)nt
A = 10,613.50
C.I. >> 10,613.50 - 7000 >> Rs. 3613.5
Answer:B
Question: A shopkeeper labeled the price of his articles so as to earn a profit of 40% on the cost price. He then sold the articles by offering a discount of 5% on the labeled price. What is the actual percent profit earned in the deal?
A.18%
B.20%
C.17%
D.33%
Answer: D.33%
Explanation: Explanation:
Let the CP of the article = Rs.100.
Then labeled price = Rs.140.
SP = Rs.140- 5% of 140 = Rs.140-7 = Rs.133.
Gain = Rs.133 â€“ Rs.100 = Rs.33
Therefore, gain/profit percent = 33%.
Answer: Option D
Question: In a joint business, the capital of A, B and C were Rs. 45000, Rs. 30000 and Rs. 22500 respectively. A withdrew half of his capital after 4 months. After 9 months of this withdrawal, there was a total profit of Rs. 28400. Find the each share of profit?
A.10800
B.10600
C.10400
D.10200
Answer: C.10400
Explanation: Given A=45000 B=30000 C=22500
A:B:C= 450:300:225
As A withdrew its half of capital after 4 months,it can withdraw 22500 rupees
But before 4 months, it is 45000 only and the profit is calculated after withdrwal it is almost 9+4=13 months.For that 9 months, the capital for A is half of its original capital,
So A= 450*4+ 225*9= 1800+2025= 3825
Similarly, B= 300*13=3900
Similarly,C= 225*13= 2925
Therefore, ratio of A:B:C= 3825: 3900 : 2925= 51:52:39
B's share=52/142(28400)=10400
ANSWER:C
Question: A group of n people, including Caroline and her best friend Catherine, stand in random order
around a circle, with each order being equally likely. If the probability that Catherine is adjacent
to Caroline is 1/9 , then what is the value of n?
A.20
B.19
C.18
D.17
Answer: B.19
Explanation: Caroline is adjacent to 2 people, and there are n 􀀀 1 people not including Caroline.
Therefore, the probability that Catherine is adjacent to Caroline is 2/n-1 = 1/9 , and solving gives
n = 19 .
correct answer B
Question: A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 3 percent and 6 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate?
A. 3/8
B. 21/25
C. 1/2
D. 3/5
Answer: B. 21/25
Explanation: x * 3/100 * 1 + (20000 - x) * 8/100 * 1 = 1440
3x - 8x = 144000 - 160000
=> -5x = -16000
=> x = 32000
So 16800/20000 = 21/25
Answer - B
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
A.2
B.7
C.6
D.4
Answer: D.4
Explanation: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 18 --- (1)
and x - y = 10 --- (2)
From (1) & (2) 2x = 28 => x = 14, y = 4.
Answer: D
Question: The first year, two cows produced 8100 litres of milk. The second year their production increased by 15% and 10% respectively, and the total amount of milk increased to 9100 litres a year. How many litres were milked from each cow each year?
A.3472
B.8222
C.4370
D.26777
Answer: C.4370
Explanation: Let x be the amount of milk the first cow produced during the first year. Then the second cow produced (8100−x)(8100−x) litres of milk that year. The second year, each cow produced the same amount of milk as they did the first year plus the increase of 15%15% or 10%10%.
So 8100+15100⋅x+10100⋅(8100−x)=91008100+15100⋅x+10100⋅(8100−x)=9100
Therefore 8100+320x+110(8100−x)=91008100+320x+110(8100−x)=9100
120x=190120x=190
x=3800x=3800
Therefore, the cows produced 3800 and 4300 litres of milk the first year, and 4370 and 4730 litres of milk the second year, respectively.
Answer:C
Question: At a certain health club, 30 percent of the members use both the pool and sauna, but 20 percent of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool?
A.58 1/3%
B.40%
C.50%
D.62 1/2%
Answer: A.58 1/3%
Explanation: P = pool S = sauna
given P+S = 30 then let only S be x and only P will be 100 - (30+x) = 70 -x
20% of (70-x) = x => 14 - 0.2x = x => x = 11 2/3% so only P = 70 -x = 58 1/3%
Answer A
Question: In a camp, there is a meal for 160 men or 200 children. If 150 children have taken the meal, how many
men will be catered to with the remaining meal ?
A.38 men
B.32 men
C.34 men
D.40 men
Answer: D.40 men
Explanation: Explanation:
There is meal for 200 children. 150 children have taken the meal.
Remaining meal is to be catered to 50 children.
Now, 200 children = 160 men
So, 50 Children = 160/200 * 50 = 40 men
Answer: D
Question: A group of students was interviewed for that if it was asked whether or not they speak French and / or English. Among those who speak French, 25 speak English well, while 65 of them do not speak English. If 55% of students do not speak French, how many students were surveyed?
A.190
B.175
C.225
D.200
Answer: D.200
Explanation: Number of students who speak French are 65 + 25 = 90
Of total students, the percentage of students who do not speak French was 55% --> percentage of who do is 45%
90-------45%
x ------- 100%
x = 90*100/45 = 200 = number of all students
Answer is D
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 61 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees?
A. 34%
B. 38%
C. 45%
D. 53%
Answer: D. 53%
Explanation: Let M represent the number of meeting attendees. Then, since 61% of M or 0.61M
were stockholders and 47% of M or 0.47M were employees, it follows that 0.61M +
0.47M = 1.08M were either stockholders, employees, or both. Since 1.08M exceeds
M, the excess 1.08M − M = 0.08M must be the number of attendees who were both
stockholders and employees, leaving the rest 0.61M − 0.08M = 0.53M, or 53%, of
the meeting attendees to be stockholders but not employees.
The correct answer is D.
Question: A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/5-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15?
A.6.8
B.7.4
C.7.7
D.8.2
Answer: B.7.4
Explanation: Let x be the length of the size 8 shoe.
Then 0.3x = 9/5
x = 90/15 = 6 inches
The size 15 shoe has a length of 6 + 7/5 = 7.4 inches
The answer is B.
Question: The total population of city A and city B is 5000 more than the total population of city B and city C. How much lesser is the population in city C as compared to city A?
A.8500
B.3500
C.4500
D.5000
Answer: D.5000
Explanation: (A + B) - (B + C) = 5000
A - C = 5000
Answer: D
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
A.17/28
B.17/21
C.17/23
D.17/20
Answer: D.17/20
Explanation: n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20
Answer:D
Question: The average of 9 numbers is 8 and the average of 7 other numbers is 8. What is the average of all 16 numbers?
A.9
B.8
C.7 7⁄8
D.7 1⁄2
Answer: B.8
Explanation: The average of 9 numbers is 8....
The sum of those numbers is (9)(8) = 72.
The average of 7 other numbers is 8....
The sum of those numbers is (7)(8) = 56
The sum of ALL 16 numbers is 72+56 = 128. The average of those numbers is 128/16 = 8 .
Final Answer:
[Reveal]Spoiler:
B
Question: In Arun's opinion, his weight is greater than 63 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 66 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
A.86.5 kg
B.64.5 kg
C.46.5 kg
D.26.5 kg
Answer: B.64.5 kg
Explanation: Let Arun's weight be X kg.
According to Arun, 63 < X < 72.
According to Arun's brother, 60 < X < 70.
According to Arun's mother, X < 66.
The values satisfying all the above conditions are 64 and 65.
Required average = (64 + 65) / 2 = 64.5 kg
Answer: B
Question: Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 45 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
A.80 lakh
B.50 lakh
C.72 lakh
D.60 lakh
Answer: C.72 lakh
Explanation: Let the incomes of two companies A and B be 5x and 8x respectively.
From the question,
5x+45/8x=5/4 ⇒ 20x + 180 = 40x
∴ x = 9
∴ Income of company B = 8x = 72 lakh
Answer C
Question: 3 mangoes and 4 apples costs Rs.85. 5 apples and 6 peaches costs 122. 6 mangoes and 2 peaches costs Rs.144. What is the combined price of 1 apple, 1 peach, and 1 mango.
A.38
B.92
C.72
D.37
Answer: D.37
Explanation: Sol: Note: It is 114 not 144.
3m + 4a = 85 ..(1)
5a + 6p = 122 ..(2)
6m + 2p = 114 ..(3)
(1) x 2 => 6m + 8a = 170
(3) => 6m + 2p = 114
Solving we get 8a - 2p = 56 ..(4)
(2) => 5a + 6p = 122
3 x (4) = 24a - 6p = 168
Solving we get a = 10, p = 12, m = 15
So a + p + m = 37
Answer:D
Question: Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ?
A.32 years, 23 years
B.32 years, 29 years
C.35 years, 29 years
D.35 years, 33 years
Answer: A.32 years, 23 years
Explanation: father edge is 28 when his sister was born and when his brother is born sister was 4 year old, therefor age of father at the time of his brother birth is 28=4=32
now when ravi born his mother was at 26 and ravi brother is 3 year elder than ravi so age of mother at the time of ravi's brother bith =26-3=23
ANSWER:A
Question: If $800 is deposited into a savings account at an annual interest rate of 3% that compounds monthly, what is the value of the investment after 5 years?
A.$950.00
B.$929.29
C.$973.25
D.$100.25
Answer: A.$950.00
Explanation: Using CI Formula:
A=P(1+r/n)^n*t
A=800(1+3/5)^3*5
A=929.29
Question: Find the angle between the hour hand and the minute hand of a clock when the time is 3.25
A.47.5 degrees
B.67.5 degrees
C.27.5 degrees
D.87.5 degrees
Answer: A.47.5 degrees
Explanation: At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins.
Simultaneously the Hour hand will also rotate for 25 mins. Thus starting from the mark, 3 the hour hand will cover an angle = (25 x 30) / 60 = 12.5°
Hence, Angle between Hour and the Minute hand
= ( 60 - 12.5 ) = 47.5°
Answer: A
Question: 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 10%?
A.20%
B.29%
C.10%
D.35%
Answer: D.35%
Explanation: SP2 = 2/3 SP1
CP = 100
SP2 = 90
2/3 SP1 = 90
SP1 = 135
100 --- 35 => 35%
Answer: D
Question: A man sells two articles for Rs.3250 each and he gains 40% on the first and loses 40% on the next. Find his total gain or loss?
A.19%loss
B.12%loss
C.16%loss
D.18%loss
Answer: C.16%loss
Explanation: Explanation:
(40*40)/100
= 16%loss
Answer:C
Question: Which of the following is a prime number ?
A.81
B.90
C.97
D.99
Answer: C.97
Explanation: Explanation:
Clearly, 97 is a prime number.
C)
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
A.28829
B.27769
C.26552
D.11750
Answer: D.11750
Explanation: 200 + 130 = 330
800 - 330 = 470
200 ---- 5000
470 ---- ? => 11750
Answer:D