RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
A.18, 20, 22
B.20, 22, 24
C.22, 24, 26
D.24, 26, 28
Answer: B.20, 22, 24
Explanation: Three consecutive even natural numbers be 2x - 2, 2x and 2x + 2.
(2x - 2)2 + (2x)2 + (2x + 2)2 = 1460
4x2 - 8x + 4 + 4x2 + 8x + 4 = 1460
12x2 = 1452 => x2 = 121 => x = ± 11
As the numbers are positive, 2x > 0. Hence x > 0. Hence x = 11.
Required numbers are 20, 22, 24.
ANSWER:B
Question: Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
A.2 hrs 15 min
B.4 hrs 24 min
C.5 hrs
D.3 hrs
Answer: D.3 hrs
Explanation: 1/4 + 1/5 = 9/20
20/9 = 2 2/9
9/20 * 2 = 9/10 ---- 4 hours
WR = 1 - 9/10 = 1/10
1 h ---- 1/4
? ----- 1/10
2/5 * 60 = 24 = 4 hrs 24 min
ANSWER:D
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
A.3:5
B.3:4
C.3:9
D.3:1
Answer: B.3:4
Explanation: They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B =
6000 : 8000 => 3:4,Answer: B
Question: The present population of a town is 4320. Population increase rate is 20% p.a. Find the population of town before 2 years?
A.2500
B.2100
C.3500
D.3000
Answer: D.3000
Explanation: P = 4320
R = 20%
Required population of town = P/(1 + R/100)^T
= 4320/(1 + 20/100)^2
= 4320/(6/5)^2
= 3000(approximately)
Answer is D
Question: If q and y are both odd prime numbers and q < y, how many distinct positive integer factors does 2qy have?
A.3
B.4
C.6
D.8
Answer: D.8
Explanation: Since 2qy prime factors are q^1*y^1*2^1, its total number or factors must be (1+1)(1+1)(1+1)=2^3=8. Thus, I think D would be the correct answer.D
Question: Find the term next in series..
1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,25/4,?
A.48
B.58
C.40
D.43
Answer: A.48
Explanation: [1,1/2,3/2,2],[5,1/3/16/3,15],[12,1/4,25/4,x]
1+1/2=3/2......1/1/2=2
5+1/3=16/3.....5/1/3=15
12+1/4=25/4....12/1/4=48
ANSWER:A
Question: If a man lost 4% by selling oranges at the rate of 24 a rupee at how many a rupee must he sell them to gain 44%?
A.16
B.8
C.9
D.4
Answer: A.16
Explanation: 96% ---- 24
144% ---- ?
96/144 * 24 = 16
Answer: A
Question: A 270 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds.What is the lenght of other train.
A.210m
B.220m
C.230m
D.240m
Answer: C.230m
Explanation: Relative speeds=(120+80)km/hr
=200km/hr=(200*5/18)m/s=(500/9)m/s
let length of train be xm
x+270/9=500/9
x=230
Ans is 230m
ANSWER:C
Question: January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?
A.Saturday
B.Wednesday
C.Thursday
D.Saturday
Answer: C.Thursday
Explanation: Explanation :
Number of odd days in 2008 = 2 (since it is a leap year)
(we have taken the complete year 2008 because we need to find out the odd days from
01-Jan-2008 to 31-Dec-2008, that is the whole year 2008)
Given that January 1, 2008 is Tuesday
Hence January 1, 2009 = (Tuesday + 2 odd days) = Thursday
Answer : Option C
Question: If Robert got marks in 6 subjects= {50, 62, 66,74, 80, 82}, what is the total mean and median of the marks ?
A.160
B.139
C.100
D.121
Answer: B.139
Explanation: This is a good question to understand the difference between mean and median.
Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)
Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median
Coming to this question,
Mean = (50+ 62+ 66+74+ 80+ 82)/6 = 69
Median = (50 + 80)/2 = 70
Total = 139
Option B
Question: There are 450 birds at a small zoo. The number of birds is 5 times the number of all the other animals combined. How many more birds are there than non bird animals at the zoo?
A.400
B.360
C.270
D.180
Answer: B.360
Explanation: Total birds = 450 = 5 * Other Animals (X)
or X = 90.
So, Difference in Birds and X = 450-90 = 360.
Answer is B.
Question: Given a set of n rays in a plane, we define a reversal as the operation of reversing precisely one ray and obtaining a new set of n rays.
Q1: if n = 2001 and if k reversals are performed such that all the rays are reversed, then a possible value of k is
a. 4000 b. 4002 c. 2011 d. 1999
A.2336
B.2011
C.1366
D.288
Answer: B.2011
Explanation: there are n rays. If we reverse all of them, we would have a complete reversed set after n reversals. After that any reversal that we perform has to be undone with another reversal to obtain complete reversal. We can have a complete reversal after k reversals if k = n + 2m (m ∈ N). i.e., k could be some number greater than (or equal to) n and of the same type (even/odd)
So n = 2001 then k = 2001 + 2m
So k = 2011
Answer.B
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
A.2.5
B.2.9
C.2.6
D.2.1
Answer: A.2.5
Explanation: Speed = 144 * 5/18 = 40 m/sec
Time taken = 100/40 = 2.5 sec.
Answer:A
Question: What is 10-8+6-4+...+(-10)?
A. 0
B. 5
C. 2
D. 14
Answer: A. 0
Explanation: The expression considers all even numbers between 10 and -10 with alternate addition and subtraction of the numbers.
The numbers to be used are: 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, and -10
Now, the first term is positive and the next term is subtracted. So, the required expression becomes,
10 - 8 + 6 - 4 + 2 - 0 + (-2) - (-4) + (-6) - (-8) + (-10)
= 10 - 8 + 6 - 4 + 2 - 0 - 2 + 4 - 6 + 8 - 10
= 30 - 30
= 0
Hence the correct answer choice is A.
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
A.31/32
B.31/39
C.31/36
D.31/33
Answer: A.31/32
Explanation: Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32 = 31/32
Answer: OA
Question: Walking at 3/4 of his usual place, a man reaches his office 20 minute late. Find his usual time?
A.2 hr
B.1 hr
C.3 hr
D.1.5 hr
Answer: A.2 hr
Explanation: Let the original speed be S and time be T
If new speed=SÃ—3/4, then new time would be TÃ—4/3(D = ST = Constant).
Given,
3T/4âˆ’T=20T/3
â‡’ T=60 minutes
= 1 hour
Answer :A
Question: Ramesh, xyz and Rajeev put a partnership. profit is 36000, if Ramesh and xyz ratio is 5 : 4 and xyz and Rajeev 8:9. Find Rajeev's share.
A.14000
B.15000
C.16000
D.12000
Answer: D.12000
Explanation: ramesh:xyz=5:4
xyz:rajeev=8:9
then
ramesh:xyz/rajeev:xyz=5:4/9:8
ramesh/rajeev=10/9
therefore
ramesh:xyz:rajeev=10:8:9
then
rajeev share=(9/27)*36000=12000
ANSWER:D
Question: ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $50.00. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit?
A.$18,406.75
B.$30,943.25
C.$41,308.50
D.$51,817.50
Answer: A.$18,406.75
Explanation: its A
since options are not so close we can solve this by uniting calculation and guessing
total sales will be bit lower than 50000
from that initial outlay will get deducted 11500 so we left with 31500
variable cost say 20 X 1000 = 20000 will be deducted so finally we left with 18500
since we have considered the price greater than it actually is, the correct answer will certainly not cross the threshold of 18500.
Question: A man bought 40 shares of Rs. 60 at 8 discount, the rate of dividend being 1212%The rate of interest obtained is
A.13.64%
B.15.5%
C.14%
D.14.42%
Answer: D.14.42%
Explanation: Explanation :
Face Value of a share = Rs.60
He bought each share at Rs.60 - Rs.8 = Rs.52
Number of shares = 40
Dividend = 12 1/2%=25/2%
Dividend per share = 60×25/2×100=Rs.7.5
Total dividend = (40 × 7.5)
ie, He got a dividend of (40 × 7.5) for an investment of Rs.(40 × 52)
Interest obtained = 40×7.5×100/40×52=14.42%
Answer : Option D
Question: The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?
A.2520
B.1287
C.2277
D.9277
Answer: A.2520
Explanation: We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) = 2520 sq.m
Answer: A
Question: The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-4), how many units is P from the y-axis?
A.2
B.4
C.8
D.10
Answer: C.8
Explanation: The x-axis is 4 units from the point P.
Thus the y-axis is 8 units from the point P.
The answer is C.
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
A.1 kmph
B.6 kmph
C.7 kmph
D.4 kmph
Answer: A.1 kmph
Explanation: Explanation:
DS = 6
US = 4
S = ?
S = (6 - 4)/2 =1 kmph
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 880 grams per kg, what is his percent?
A.2%
B.25%
C.22%
D.13.63%
Answer: D.13.63%
Explanation: 880 --- 120
100 --- ? => 13.63%
Answer:D
Question: The sale price sarees listed for Rs.528 after successive discount is 20% and 10% is?
A.288
B.277
C.380
D.290
Answer: C.380
Explanation: 528*(80/100)*(90/100)
= 380
Answer: C
Question: Fill in the blank with the correct number in this number series: 6, 45, 14, 40, __, 35, 30, ?
A.13
B.22
C.24
D.27
Answer: B.22
Explanation: This is a simple alternating subtraction and addition series; The first series begins with 6 and adds 8; the second begins with 45 and subtracts 5, and so on.
Answer: B
Question: A couple spent $184.80 in total while dining out and paid this amount using a credit card. The $184.80 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip?
A.$124
B.$132
C.$140
D.$148
Answer: C.$140
Explanation: Let the price of the meal be x.
After a 10% sales tax addition, the price is 1.1*x
After a 20% tip on this amount, the total is 1.2*1.1*x = 1.32x
1.32x = 184.80
x = 140
The correct answer is C.
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A.11
B.444
C.2881
D.287
Answer: B.444
Explanation: 1h ----- 5
? ------ 60
12 h
RS = 16 + 21 = 37
T = 12
D = 37 * 12 = 444
Answer:B
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
A.A)3
B.B)4
C.C)6
D.D)9
Answer: B.B)4
Explanation: Rate of machine R =1/24
Rate of machine S =1/12
since same no of machines used for R and S to do the same work in 2 hrs
So collective rate needed to finish the work in 2 hrs= 1/2
Let the no of machine be x
So, x/24 +x/12 =1/2
3x/24=1/2
x=24/6=4
So no of machine R is 4
Answer B
Question: There are 22 students in a class. In how many different ways can a committee of 3 students be formed?
A.1180
B.1320
C.1540
D.1760
Answer: C.1540
Explanation: 22C3 = 22*21*20 / 6 = 1540
The answer is C.
Question: If n = 8p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
A. Two
B. Three
C. Four
D. Six
Answer: D. Six
Explanation: If n = 8p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
(A) Two
(B) Three
(C) Four
(D) Six
(E) Eight
Since we cannot have two correct answers just pick a prime greater than 2, and see how many different positiveevendivisors will 8p have.
p = 3 --> 8p = 24--> 24 has 6 even divisors: 2, 4, 6, 8, 12, 24.
Answer: D.
Question: Convert 0.30 in to a vulgar fraction ?
A.18/50
B.16/50
C.3/10
D.19/50
Answer: C.3/10
Explanation: Answer
0.30 = 30/100 = 3/10
Correct Option: C
Question: A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $752 in total compensation, how many total hours did he work that week?
A.36
B.40
C.44
D.48
Answer: C.44
Explanation: For 40 hrs = 40*16=640
Excess = 752-640=112
For extra hours =.75(16)=12+16=28
Number of extra hrs =112/28=28/7=4
Total hrs =40+4=44
Answer C 44
Question: Find the wrong number below mentioned series
5,24,60,120,210,340
A.340
B.210
C.5
D.60
Answer: C.5
Explanation: 5 is the only prime number or odd number in the series.
ANSWER:C
Question: My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 28 years of age when I was born. If my sister was 4 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
A.32 yrs, 23 yrs
B.32 yrs, 25 yrs
C.35 yrs, 29 yrs
D.35 yrs, 33 yrs
Answer: B.32 yrs, 25 yrs
Explanation: Sol.
Clearly, my brother was born 3 years before I was born and 4 years after my sister was born.
So, father's age when brother was born = (28 + 4) = 32 years.
mother's age when was born = (28 - 3) years = 25 years.
Answer B
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 27 metre of cloth ?
A.211 seconds
B.195 seconds
C.155 seconds
D.115 seconds
Answer: A.211 seconds
Explanation: Explanation:
Let the time required by x seconds.
Then, More cloth means More time (Direct Proportion)
So,
0.128 : 1 :: 27 : x => x = {\color{Blue} \frac{27\times 1}{0.128}}
=> x = 210.94
So time will be approx 211 seconds
Answer: A
Question: For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 56 seconds. By what distance does P defeat Q eventually?
A.232m
B.224m
C.244m
D.231m
Answer: B.224m
Explanation: Explanation:
This is a simple speed time problem. Given conditions:
=>Speed of P= 224/28 = 8m/s
=>Speed of Q=224/56 = 4m/s
=>Difference in time taken = 28 seconds
Therefore, Distance covered by P in that time= 8m/s x 28 seconds = 224 metres
ANSWER: B
Question: The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?
A.18 meter
B.20 meter
C.22 meter
D.25 meter
Answer: B.20 meter
Explanation: Explanation:
Let breadth =x metres.
Then length =(115x/100)metres.
=x∗115x/100=460
x2=(460x100/115)
x2=400x=20
Option B
Question: A palindrome is a number that reads the same forward and backward, such as 242. How many even three-digit numbers are palindromes?
A.80
B.40
C.500
D.5,000
Answer: B.40
Explanation: 3rd digit 2,4,6 ,8
2nd digit 0 through 9
i.e 10*4 = 40 numbers
first digit is going to be same as 3rd digit. so it would still be 40 numbers.
Answer is B.
Question: If a and b are prime numbers, which of the following CANNOT be the value of ab?
A.9
B.14
C.21
D.23
Answer: D.23
Explanation: 23 is a prime number itself and so cannot be multiple of two prime numbers..
ANSWER:D
Question: If f(x) = x^4/(x^5 - 1), what is f(1/x) in terms of f(x)?
A.f(x)
B.2*f(x)
C.1/f(x)
D.-f(x)
Answer: D.-f(x)
Explanation: If x = 2 then f(x) = 16/31 and f(1/x) = -16/31 which is equal to -f(x)
answer D
Question: In how many different number of ways 2 boys and 2 girls can sit on a bench?
A.70
B.10
C.24
D.26
Answer: C.24
Explanation: npn = n!
4p4 = 4 × 3 × 2 × 1 = 24
C)
Question: If the cost price of 20 articles is equal to the selling price of 15 articles, what is the % profit or loss made by the merchant?
A.25% loss
B.33.33% profit
C.20% loss
D.20% profit
Answer: B.33.33% profit
Explanation: Let the cost price of 1 article be $1.
Therefore, cost price of 20 articles = 20 * 1 = $20
The selling price of 15 articles = cost price of 20 articles = $15.
Now, we know the selling price of 15 articles. Let us find the cost price of 15 articles.
Cost price of 15 articles = 15 * 1 = $15.
Therefore, profit made on sale of 15 articles = Selling price of 15 articles - cost price of 15 articles
= 20 - 15 = $5.
As the profit is in the positive, the merchant has made a profit of $5.
Therefore, % loss = loss/cp * 100
% loss = 5/15 * 100 = 33.33% profit.
B
Question: It has been raining at the rate of 5 centimeters per hour. If the rain filled a cylindrical drum with a depth of 15 centimeters, and area 300 square centimeters, how long did it take to fill the drum completely?
A.3 hours
B.4 hours 15 minutes
C.6 hours
D.2 hours 5 minutes
Answer: A.3 hours
Explanation: Answer is : A, 3 hours
The volume of the drum is irrelevant and only height matters since rain fell all over the city.
Thus, it takes only 15 / 5 = 3 hours of rain to fill the drum
Question: Find the odd man out. 5, 6, 14, 45, 185, 925, 5556
A.5556
B.925
C.185
D.6
Answer: C.185
Explanation: Explanation :
5 × 1 + 1 = 6
6 × 2 + 2 = 14
14 × 3 + 3 = 45
45 × 4 + 4 = 184
184 × 5 + 5 = 925
925 × 6 + 6 = 5556
Hence, it is clear that 184 should have come instead of 185
Answer : Option C
Question: A woman bought a car at 10% bag on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did she make on the original price?
A.40%
B.42%
C.44%
D.46%
Answer: C.44%
Explanation: Original price = 100
CP = 90
S = 90*(160/100) = 144
100 - 144 = 44%
Answer: C
Question: Working together, printer A and printer B would finish the task in 24 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 7 pages a minute more than printer A ?
A.600
B.840
C.1000
D.1200
Answer: B.840
Explanation: Answer: B.
Question: How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?
A.48
B.120
C.72
D.110
Answer: C.72
Explanation: The given word contains 5 different letters.
Taking the vowels EA together, we treat them as one letter.
Then, the letters to be arranged are XTR (EA).
These letters can be arranged in 4! = 24 ways.
The vowels EA may be arranged among themselves in 2! = 2 ways.
Number of words, each having vowels together = (24x2) = 48 ways.
Total number of words formed by using all the letters of the given words = 5! = (5x4x3x2x1) = 120.
Number of words, each having vowels never together = (120-48) = 72.
Answer C.
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A.145
B.146
C.147
D.150
Answer: D.150
Explanation: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer: Option D
Question: 10, 25, 45, 54, 60, 75, 80
A.10
B.45
C.54
D.75
Answer: C.54
Explanation: Each of the numbers except 54 is multiple of 5.
Answer: Option C
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 57. What is that number?
A.5
B.6
C.8
D.7
Answer: A.5
Explanation: Let the number be x. Then,
3(2x + 9) = 57
2x = 10 => x = 5
ANSWER:A
Question: What is the least common multiple of 6, 18, and 24?
A.72
B.120
C.240
D.360
Answer: A.72
Explanation: Let us first write the numbers in the form of prime factors:
6 = 2*3
18 = 2*3^2
24 = 2^3*3
The LCM would be the largest powers of the prime numbers from all these three numbers.
Hence LCM = 72
Option A
Question: Total number of boys and girls in a school is 150. If the number of boys is x, then girls become x% of the total number of students. The number of boys is
A.50
B.60
C.70
D.80
Answer: B.60
Explanation: Explanation:
Clearly,
x% of 150 = 150 - x [as x is number of boys]
=>x+x/100∗150=150=>5/2x=150=>x=60
Option B
Question: Bill has a small deck of 12 playing cards made up of only 2 suits of 6 cards each. Each of the 6 cards within a suit has a different value from 1 to 6; thus, for each value from 1 to 6, there are two cards in the deck with that value. Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?
A.8/33
B.62/165
C.17/33
D.103/165
Answer: C.17/33
Explanation: total no of ways of choosing any 4 cards out of 12 = 12 C 4
=45*11
the no favourable outcomes, i.e atleast 1 pair , = no of pairs i.e 6 *{ ( no of ways of choosing the remaining 2 cards, i.e. 10 C 2 - the no of repetitions (i.e.5)} + the no ways of getting 2 pairs .i.e. 15
= 6( 10 C2 -5)+15
= 6(40)+15
= 3*85
therefor probability = (3*85 )/ (45*11)
= 17/33
Answer:C
Question: How many words can be formed by using all letters of the word ‘DAUGHTER’ so that the vowels always come together?
A.1214
B.4320
C.1254
D.3265
Answer: B.4320
Explanation: Given word contains 8 different letters. When the vowels AUE are always together, we may suppose them to form an entity, treated as one letter.
Then, the letters to be arranged are DGNTR (AUE).
Then 6 letters to be arranged in 6p6 = 6! = 720 ways.
The vowels in the group (AUE) may be arranged in 3! = 6 ways.
Required number of words = (720x6) = 4320.
Ans: B
Question: What is the probability of getting a sum 9 from two throws of a dice?
A.1/6
B.1/8
C.1/9
D.1/12
Answer: C.1/9
Explanation: Explanation:
In two throws of a dice, n(S) = (6 x 6) = 36.
Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.
P(E) =	n(E)	/ n(S) =4/36=1/9.
ANSWER IS C
Question: A word is defined as a sequence of three dots arranged in a row. Each dot is colored either red, yellow, or blue. How many distinct words can be formed?
A.9
B.18
C.24
D.27
Answer: D.27
Explanation: 3^3 = 27
The answer is D.
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 30%?
A.600
B.887
C.256
D.650
Answer: D.650
Explanation: Cost price = Rs.500
profit = 30% of 500 = Rs.150
Selling price = Cost price + Profit
= 500 + 150 = 650
Answer: D
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach a target of 282 runs ?
A.6.25
B.6.5
C.6.75
D.7.0
Answer: A.6.25
Explanation: Total runs in the first 10 overs
= 10 × 3.2 = 32
Run rate required in the remaining 40 overs
= 282−32/40=250/40=6.25 runs per over.
Answer A
Question: The speed of a car is 100 km in the first hour and 80 km in the second hour. What is the average speed of the car?
A.50 kmph
B.65 kmph
C.90 kmph
D.85 kmph
Answer: C.90 kmph
Explanation: Explanation:
S = (100 + 80)/2 = 90 kmph
C)
Question: In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
A.12.6 Years
B.12 Years
C.12.3 Years
D.13 Years
Answer: A.12.6 Years
Explanation: Total age of 50 students
(30X 13+20 X 12) = 630
Average = 630/50 = 12.6 Years
A
Question: Mohan purchased 10 kgs of rice at the rate of Rs.26 per kg and 10 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
A.A)Rs.520
B.B)Rs.594
C.C)Rs.596
D.D)Rs.595
Answer: A.A)Rs.520
Explanation: Explanation:
Price of 10 kgs of rice at Rs.26/kg = 10x26 = Rs.260
Price of 8 kgs of pulses at Rs.26/kg = 10x26 = Rs.260
Therefore, Total amount = Rs.260+Rs.260 = Rs.520.
Answer: Option A
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
A.74%
B.94%
C.44%
D.24%
Answer: C.44%
Explanation: g% = 20 + 20 + (20*20)/100
= 44%
Answer:C
Question: The sum of two numbers is 15 and their geometric mean is
20% lower than their arithmetic mean. Find the numbers?
A.12,3
B.15,3
C.11,2
D.11,3
Answer: A.12,3
Explanation: Sum of the two numbers is a+b=15.
their A.M = a+b / 2 and G.M = (ab)1/2
Given G.M = 20% lower than A.M
=80/100 A.M
ANSWER : A 12,3
(ab)^1/2=4/5 a+b/2 =2*15/5=6 (ab)^1/2 = 6
ab=36 =>b=36/a
a+b=15
a+36/a=15
a2+36=15a
a2-15a+36=0
a2-3a-12a+36=0
a(a-3)-12(a-3)=0
a=12 or 3.
If a=3 and a+b=15 then b=12.
If a=12 and a+b=15 then b=3.