RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Here is an ancient problem from Bhaskaracharya's Lilavati:
A beautiful maiden, with beaming eyes, asks me which is the number that. multipied by 3 then increased by thre-fourths of the product. divided by 7 diminished by 52, the square root found,addition of 8, division by 10 gives the number 2?
Well, it sounds complicated, doesn't it? No, not if you know how to go about it.
A.16
B.22
C.28
D.29
Answer: C.28
Explanation: C
28
The method of working out this problem is to reverse the whole process--multiplying 2 by 10, deducting 8,squaring the result and so on.
Question: The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 612. What is the banker's discount?
A.1240
B.1120
C.1190
D.1462
Answer: D.1462
Explanation: Explanation :
TD = (BG ×100)/TR = (612×100)/(6×12) = Rs. 850
BG = BD – TD
=> 612 = BD - 850
=> BD = 612 + 850 = 1462 Answer : Option D
Question: Two employees X and Y are paid a total of Rs. 500 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
A.s.227
B.s.287
C.s.297
D.s.300
Answer: A.s.227
Explanation: Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 500
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 500
⇒ y[12/10 + 1] = 500
⇒ 22y/10 = 500
⇒ 22y = 5000
⇒ y = 5000/22 = Rs.227.77
A)
Question: What is the sixth digit to the right of the decimal point, in the decimal expansion of (3/10)^6?
A.	7
B.	9
C.	3
D.	6
Answer: B.	9
Explanation: Step 1 Convert fraction to decimal with two decimal places 3/10 = 0.30 then convert to scientific number = 3*10^-1
Step 2 Multiply 3^6 by 10^-6
Step 3 3 has the sequence 3, 9, 27
Answer is B
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
A.2288
B.2778
C.8297
D.8112
Answer: D.8112
Explanation: A = 7500(26/25)2 = 8112.Answer: D
Question: A can do a work in 15 days and B in 20 days. If they work on it together, then the number of days the whole work can be finished is:
A.7/40
B.7/60
C.40/7
D.60/7
Answer: D.60/7
Explanation: A's 1 day's work =1/15
B's 1 day's work =1/20
(A + B)'s 1 day's work =(1/15+1/20)=7/60
the whole work can be finished in 60/7days. Answer: D
Question: P, Q and R have $9000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
A.2400
B.3600
C.3998
D.2539
Answer: B.3600
Explanation: B
3600
Let the amount with R be $ r
r = 2/3 (total amount with P and Q)
r = 2/3(9000 - r) => 3r = 18000 - 2r
=> 5r = 18000 => r = 3600.
Question: Ten participants are participating in a competition. In how many ways can the first three prizes be won?
A.920
B.680
C.820
D.720
Answer: D.720
Explanation: Out of 10 participants, the first three prizes can be won in,
10P3 = 10! / (10 - 3)!
= 10 x 9 x 8
= 720 ways
ANSWER:D
Question: Awordis defined as a sequence of three dots arranged in a row. Each dot is colored one of the three colours. How many distinct words can be formed?
A.23
B.25
C.26
D.28
Answer: D.28
Explanation: Each dot can be either one of the three, so 2 options for each dot: 3*3*3 = 27.
Answer: D.
Question: Amy's sells kale at x dollar per pound for the first 20 pounds and .8x for every subsequent pound. Lucia's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 20 for which Amy's becomes an equal or better deal?
A.26
B.25
C.24
D.27
Answer: A.26
Explanation: For Amy's deal to be better, the cost has to be less or equal to Lucia's
Assuming 'n' is the number of pounds of kale, the equation is
20x + (n-20) (0.8x) <= 14x + (n-14)(0.9x)
Resolve it:
==> 20x + 0.8nx - 16x <= 14x + 0.9nx - 12.6x
==> 2.6x <=0.1nx
==> 26x < =nx
==> x (n-26) > = 0
as x cannot be 0,
==> n - 26 >=0
==> n > = 26
so the minimum value is 26
'A' would be the correct answer
Question: A circle circumscribes three unit circles that touch each other. What is the area of the larger circle? Note that p is the ratio of the circumference to the diameter of a circle ( 3.14159265).
A.3.14×(7+43–√3/9)
B.3.14×(7+43–√3/7)
C.3.14×(7+43–√3/6)
D.3.14×(7+43–√3/3)
Answer: D.3.14×(7+43–√3/3)
Explanation: By joining centers of 3 unit circles we will get an equilateral triangle of length 2 unit. We have to find the length of the orange line.
And center of the equilateral triangle will be the center of the big circle.
So radius of the big circle will be = (1 + Circum radius of the equilateral triagle)
Formula for Circul radius of the equilateral triangle = 23×(3–√2a)23×(32a) here 3–√2a32a is the height of the triangle. a is the side of the triangle
Circum radius of equilateral triangle = 23×3–√2×2=23–√23×32×2=23
Area of big circle will be =πr2=3.14×(1+23–√)2πr2=3.14×(1+23)2 = 3.14×(1+43–√+43)3.14×(1+43+43)
=3.14×(1+43–√+43)=3.14×(1+43+43) = 3.14×(73+43–√)3.14×(73+43)
=3.14×(7+43–√3/3)
Answer:D
Question: Assume all CDs are equal in time.
If 21 CDs have X hours of music, how many minutes will Y CDs have?
A.21XY/60
B.7/60XY
C.21/60XY
D.20XY/7
Answer: D.20XY/7
Explanation: 21 CDs have X hours or 60*X minutes
1 CD has time = 60*X/21 = 20X/7
Y CD time in minutes = Y*20*X/7 = 20XY/7
Hence, the answer is D.
Question: a survey of n people in the town of badaville found that 50% of them prefer brand A.another survey of 100 people in the town of Chotaville found that 60% prefer brand A.In total 55% of all the people surveyed prefer brand A.What is the total number of people surveyed?
A.180
B.200
C.220
D.240
Answer: B.200
Explanation: badavilla=50% from 100
chotavilla=60% from 100
total=110 from 200
55% of 200 is also 110
so total number of survey is 200
ANSWER:B
Question: Which of the following is closest in value to (9^12)-(9^2)?
A.9^9
B.9^8
C.9^7
D.9^12
Answer: D.9^12
Explanation: 9^12 is much larger number than 9^2 and as we need approximate value then it's pretty much negligible in this case, so: (9^12)-(9^2) = ~9^9.
Answer: D.
Similar questions to practice:
Hope it helps.
Question: A company pays 12.5% dividend to its investors. If an investor buys Rs.60 shares and gets 25% on investment, at what price did the investor buy the shares?
A.25
B.66
C.30
D.19
Answer: C.30
Explanation: Explanation:
Dividend on 1 share = (12.5 * 60)/100 = Rs.7.5
Rs.25 is income on an investment of Rs.100
Rs.7.5 is income on an investment of Rs. (7.5 * 100)/25 = Rs.30
ANSWER: C
Question: A train passes a platform in 36 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
A.280 meter
B.240 meter
C.200 meter
D.260 meter
Answer: B.240 meter
Explanation: Explanation:
Speed of the train = 54 km/hr = (54×10)/36 m/s = 15 m/s
Length of the train = speed × time taken to cross the man = 15×20 = 300 m
Let the length of the platform = L
Time taken to cross the platform = (300+L)/15
=> (300+L)/15 = 36
=> 300+L = 15×36 = 540
=> L = 540-300 = 240 meter
Answer: Option B
Question: Can you find the missing number in the sequence given below?
11 15 19 12 16 ? 13 17 21 14 18 22
A.20
B.21
C.22
D.23
Answer: A.20
Explanation: Solution:
20
Explanation :
The sequence is given in the puzzle is :
11 15 19 12 16 ? 13 17 21 14 18 22
Let's break the given series as below:
11 15 19
12 16 ?
13 17 21
14 18 22
Now read the number from left hand side from top to bottom as :
So the number that will replace '?' is 20.
Answer A
Question: If a population of women in a town is 50% of men . What is the population of men as a % of population of women ?
A.200%
B.100%
C.50%
D.65%
Answer: A.200%
Explanation: We're told that the number of Women in a town is equal to 50% of the number of Men in that town.
IF....
Men = 10
Women = 5
We're asked for the number of Men, as a percentage of the number of Women.
M/W = 10/5 = 2 = 200%
Answer is A
Question: A pipe X is 30 meters and 45% longer than another pipe Y. find the length of the pipe Y.
A.20.12
B.20.68
C.20
D.20.5
Answer: B.20.68
Explanation: Explanation :
Length of pipe X = 30 meter
Given that pipe X is 45% longer than Y
Let the length of pipe Y = y
Then, Length of pipe X =y×(100+45)/100
⇒ 30 = y × (145/100) => y = 30×100/145=6×100/29=600/29=20.68
Answer : Option B
Question: The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
A.4.5%
B.4%
C.5%
D.6%
Answer: C.5%
Explanation: Increase in 10 years = (262500 - 175000) = 87500.
Increase% =(87500/175000)x 100% = 50%.
Required average =50/10% = 5%.
Answer:C
Question: The sum of the non-prime numbers between 30 and 40, non-inclusive, is
A.202
B.217
C.232
D.247
Answer: D.247
Explanation: sum of consecutive integers from 31 to 39, inclusive ====> (A1 + An)/2 * # of terms = (31 + 39)/2 * 9 = 35 *9 = 315
sum of non-prime numbers b/w 30 and 40, non inclusive ===> 315 - 68 (i.e., 31 + 37, being the prime #s in the range) =247
Answer: D
Question: How many digits will be there to the right of the decimal point in the product of 89.635 and .02218?
A.5
B.6
C.7
D.8
Answer: C.7
Explanation: Explanation :
Sum of decimal places = 3 + 5 = 8
The last digit to the extreme right is zero (Since 5 x 8 = 40)
Hence, there will be 7 significant digits to the right of the decimal point. Answer : Option C
Question: John bought 9.25m of cloth for $434.75. Find the cost price per metre.
A.46
B.47
C.58
D.56
Answer: B.47
Explanation: Cloth bought by John = 9.25 m
Cost of 9.25 m = $434.75
Cost per metre = 434.75 ÷ 9.25
The cost of the cloth per metre = $ 47
Answers: B
Question: Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability V that Jane will be on the same committee as Albert?
A. 12%
B. 20%
C. 33%
D. 40%
Answer: D. 40%
Explanation: Total number of ways to choose 3 member committee - 6C3=(6!/3!3!)=20
No. of ways Albert n Jane are in same committee:- (4C1 * 2)= 8
Probability V= (8/20) *100 =40%.
+1 for me.. :D
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 152 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
A.1289
B.1198
C.281
D.1216
Answer: D.1216
Explanation: Explanation:
B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.
Quantity of water in B = 8k - 5k = 3k.
Quantity of water in container C = 8k - 3k = 5k
Container: A B C
Quantity of water: 8k 3k 5k
It is given that if 152 liters was transferred from container C to container B, then both the containers would have equal quantities of water.
5k - 152 = 3k + 152 => 2k = 304 => k = 152
The initial quantity of water in A = 8k = 8 * 152 = 1216 liters.
Answer: Option D
Question: Evaluate: 17 + sqrt(- 7 + 10Ã—6Ã·5) =?
A.40
B.42
C.44
D.46
Answer: B.42
Explanation: According to order of operations, inner brackets first where 10x6Ã·5 is first calculated since it has a multiplication and a division.
10x6Ã·5 = 60Ã·5 = 12
Hence
17 + sqrt(- 7 + 10Ã—6Ã·5) = 17+ sqrt(-7+ 12)
= 17 + sqrt(5) = 17 + 25 = 42
correct answer B)42
Question: A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.1,20,000. At the end of the year, out of a total profit of Rs.3,75,000, C gets Rs.1,50,000 as his share. How many months after B joined the business, did C join?
A.4 months
B.5 months
C.6 months
D.7 months
Answer: A.4 months
Explanation: Explanation:
Assume that C was there in the business for x months
A:B:C
=40000×12:60000×10:120000 × x
=40×12:60×10:120x
=40:5×10:10 x
=8:10:2x
=4:5:x
C's share =375000 x/ 9+x=375000 x/9+x
⇒375000 x/9+x=150000
⇒375x9+x=150
⇒15x=6(9+x)
⇒5x=18+2x
⇒3x=18
⇒x=6
It means C was there in the business for 6 months. Given that B joined the business after 2 months. Hence C joined 4 months after B joined.
Answer: Option A
Question: If air is called green , green is called blue, blue is called sky, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ?
A.Blue
B.Sky
C.Water
D.Yellow
Answer: B.Sky
Explanation: Explanation:
The colour of clear sky is 'blue' and as given, 'blue' is called 'sky'.
So, the colour of clear sky is 'sky'.
Answer: B
Question: A 25% stock yielding 20% is quoted at:
A.s. 83.33
B.s. 110
C.s. 112
D.s. 125
Answer: D.s. 125
Explanation: Income of Rs 20 on investment of Rs 100
Income of Rs 25 on investment of ?
= (25*100)/20=125
ANSWER:D
Question: If a, b, and c are consecutive positive integers and a < b < c, which of the following must be true?
I. c - a = 2
II. abc is an even integer.
III. (a + b + c)/3 is an decimal.
A. I only
B. II only
C. I and II only
D. II and III only
Answer: C. I and II only
Explanation: Since a, b, and c are consecutive positive integers and a < b < c, then c = a + 2, from which it follows that c - a = 2. So, I is true.
Next, out of 3 consecutive integers at least 1 must be even, thus abc=even. II is true.
Finally, since b = a + 1, and c = a + 2, then (a + b + c)/3 = (a + a + 1 + a + 2)/3 = a + 1 = integer. III is false.
Answer: C
Question: A table is bought for Rs.200/- and sold at Rs.150/- find gain or loss percentage
A.15% loss
B.20% loss
C.25% loss
D.30% loss
Answer: C.25% loss
Explanation: Formula = (Selling price ~ Cost price)/Cost price * 100
= (150 - 200)/200 = 25% loss
C
Question: In Plutarch Enterprises, 60% of the employees are marketers, 30% are engineers, and the rest are managers. Marketers make an average salary of $50,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
A.$80,000
B.$130,000
C.$260,000
D.$290,000
Answer: C.$260,000
Explanation: For sake of ease, let's say there are 10 employees:6 marketers, 3 engineers, and 1 manager.
Average company salary * Number of employees = Total company salary
>>> $80,000 * 10 = $800,000
Subtract the combined salaries for the marketers (6 * $50,000) and the engineers (3 * $80,000)
>>> $800,000 - $300,000 - $240,000 = $260,000.
The correct answer is C.
Question: What will come in place of the x in the following Number series? 18, X, 30, 46 ,78, 142
A.35
B.56
C.22
D.87
Answer: C.22
Explanation: (C)
The pattern is +4, +8, +16, +32, +64
So the missing term is = 22.
Question: Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?
A.2 hours
B.4 hours
C.3 hours
D.5 hours
Answer: C.3 hours
Explanation: in three minute 1/20+1/30-1/15=1/60 part is filled
3 min--------1/60 parts
x min--------- 1 part(full)
x=180 min =3 hours
ANSWER:C
Question: If 4 consecutive letters are selected at random from the English alphabet, then the probability that one of the letters is a vowel is ?
A.13/23
B.16/23
C.11/23
D.17/23
Answer: D.17/23
Explanation: Total no. of ways of selecting 4 consecutive letters => 23 [Like abcd, bcde, efgh,..etc]
No. of ways of having one is a vowel => abcd, bcde, cdef, defg, efgh, fghi, ghij, hijk, ijkl, lmno, mnop, nopq, opqr, rstu, stuv, tuvw, uvwx...
= 17
P(one of letter is vowel) = 17/23
ANSWER:D
Question: Six years hence,a fathers age will be three times his son's age and three years ago the fathers age is nine times as old as his son. the fathers present age is
A.24 years
B.28 years
C.30 years
D.40 years
Answer: C.30 years
Explanation: Let "f" nd "s" be the father's nd son's present age respectively
(f+6) = 3(s+6)
f=3s+18-6
f=3s+12
f-3 = 9(s-3)
f = 9s-27+3
f=9s-24
Equate "f"
9s-24 = 3s+12
6s = 36
s=6
f=3(6)+12
f=30
ANSWER:C
Question: A taxi company charges $2.5 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?
A.4 miles
B.4 1/4 miles
C.4 3/4 miles
D.5 1/2 miles
Answer: B.4 1/4 miles
Explanation: If we start out with $4.90 and have to spend $2.5 for the first quarter-mile, we will have $2.40 left to spend on quarter-mile intervals.
Since $2.40/$0.15 = 16, we can buy 16 more quarter-miles, and will travel 17 quarter miles in all:
17 × 1/4 = 4 1/4 miles.
The correct answer is choice (B).
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
A.178
B.132
C.279
D.265
Answer: B.132
Explanation: 2 * 22/7 * 14
= 88
88 * 1 1/2
= Rs.132
Answer: B
Question: A watch was sold at a loss of 10%. If it was sold for Rs.280 more, there would have been a gain of 4%. What is the cost price?
A.s:2000
B.s:1067
C.s:1278
D.s:1028
Answer: A.s:2000
Explanation: 90%
104%
--------
14% ---- 280
100% ---- ? =>
Rs:2000
Answer: A
Question: In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
A.234
B.255
C.256
D.267
Answer: B.255
Explanation: Andrew can select one or more than one of his 8 gang.
=> Required number of ways = 28 – 1= 255.
B
Question: 23, 29, 31, 37, 41, 43, 47, 53, 59, (...)
A.53
B.47
C.61
D.59
Answer: C.61
Explanation: Explanation :
All are prime numbers in their order, starting from 23
Hence, next number is 61
Answer : C
Question: 1.8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work?
I.19 men and 12 women together can complete the work in 18 days.
II.16 men can complete two-third of the work in 16 days.
III.In 1 day, the work done by three men in equal to the work done by four women.
A.I only
B.II only
C.III only
D.I or II or III
Answer: D.I or II or III
Explanation: EXPLANATION
Clearly, I only gives the answer.
Similarly, II only gives the answer.
And, III only gives the answer.
Answer is (D).
Question: If Rs.10 be allowed as true discount on a bill of Rs.110 due at the end of a certain time,then the discount allowed on the same sum due at the end of double the time is :
A.Rs. 20
B.Rs. 21.81
C.Rs. 22
D.Rs. 18.33
Answer: D.Rs. 18.33
Explanation: Solution
S.I. on Rs.(110 -10) for a certain time =Rs.10.
S.I. on Rs. 100 for double the time =Rs. 20.
T.D. on Rs. 120 =Rs.(120 -100)=Rs. 20.
T.D. on Rs. 110 =Rs.left ( 20/120x120 ) =Rs.18.33.
Answer D
Question: find highest power of 2 in 1!+2!+3!+4!...........+600!
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: unit digit of
1!+2!+3!+4!...........+600! is odd i.e
the given sum gives an odd no. so, there is no factor of 2.
highest power of 2 = 2^0
hence answer is 0.
ANSWER:A
Question: M is the sum of the reciprocals of the consecutive integers from 401 to 500, inclusive. Which of the following is true?
A.1/3 < M < 1/2
B.1/5 < M < 1/4
C.1/7 < M < 1/5
D.1/9 < M < 1/7
Answer: B.1/5 < M < 1/4
Explanation: M = 1/401 + 1/4+ 1/403 + ...... + 1/500
If we replace the first 99 terms by 1/500, then we get a sum = 100/500 = 1/5. Since the actual terms are larger than 1/500, the sum is larger than 1/5.
If we replace the all the 100 terms by 1/400, we get a sum = 100/400 = 1/4. Since the actual terms are smaller than 1/400, the sum is less than 1/4.
Therefore 1/5 < M < 1/4
Choice B
Question: 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 2 such machines to perform the same job?
A.2.25 hours
B.8.75 hours
C.12 hours
D.24 hours
Answer: D.24 hours
Explanation: Let each machine do 1 unit of work for 1 hour
8 machines --> 8 units of work in 1 hour
For 6 hours = 8*6 = 48 Units of total work is done.
Now this 48 Units of total work must be done by 2 machines
2 units of work(2 machines) ---> 1 hour
for 48 Units of work
2*24 ---> 1*24 hours
D 24 hours
Question: Working at constant rate, pump X pumped out half of the water in a flooded basement in 6 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement?
A.a. 10
B.b. 12
C.c. 14
D.d. 28
Answer: D.d. 28
Explanation: rate of x=1/8
rate of x+y=1/6
rate of y=1/6-1/8=1/24
28 hours
D
Question: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
A.10
B.12
C.7
D.8
Answer: A.10
Explanation: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
ANSWER A
Question: Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?
A.1/7
B.2/9
C.3/10
D.3/11
Answer: C.3/10
Explanation: Here, S = [1, 2, 3, 4, …., 19, 20]
Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18]
P (E) = n (E) / n (S) = 6 / 20 = 3/10
C
Question: Ten students in a computer skills company can touch-type and the other 15 can use a particular word processing program. If 13 of the students can neither use the program nor touch-type, then how many students are in the class?
A.46
B.42
C.38
D.34
Answer: D.34
Explanation: the neither = 13 , the minimum number of students in any or both = 15 , thus 19 is out
the maximum number of students (given 13 is in neither ) in any or both could reach = 25 thus 42 and 46 are out
now the answer is b or c both could be the answer
if the intersection between the 2 groups = 0 thus total = 13+15+10 = 38
if the intersection between the 2 groups = 4 thus total = 15+6+13 or 11+10+13 = 34
ANSWER:D
Question: A certain furniture can be repaired for $15.50 and will last for 1 year. A same kind of furniture can be purchased new for $40.00 and will last for 2 years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?
A.28.9
B.31.4
C.27.8
D.29.03
Answer: D.29.03
Explanation: 1) Cost of repairing = 15.5 ( for one year ), Therefore for 2 years it would be$ 31.
2) Cost of new furniture which will last for 2 years is$ 40.
Percentage change formula =( Final value - Initial value ) / ( Initial Value ) * 100. In this case the final value would be the price of new furniture value would be the cost of repairing the old shoe.
I.e ( 40 - 31 ) / ( 31 ) * 100 = 29.03 %.
Ans is D.
Question: What is the tens digit of 6^10?
A.7
B.3
C.5
D.1
Answer: A.7
Explanation: (6^2)=6*6 = 36
(6^3)= 36*6 = .16
(6^4)= .16*6 = ..96
(6^5) = ..96*6 = ..76
(6^6) = ..76*6 = ...56
(6^7) = ....56*6 = ....36
If you see there is a pattern here in tens digits 3,1,9,7,5,3,1 and so on...
Continue the pattern up to 6^10 ( dont actually calculate full values) and answer is A: 7
Question: The sum of the mean, the median, and the range of the set {5,6,7} equals which one of the following values?
A.18
B.14
C.16
D.12
Answer: A.18
Explanation: Here Mean => 5+6+7/3 => 6
median => 6
and range => 7-1 => 6
hence sum => 6+6+6=> 18
Answer: A
Question: The food in a camp lasts for 20 men for 40 days. If ten more men join, the food will last for how many days ?
A.40 days
B.27 days
C.37 days
D.50 days
Answer: B.27 days
Explanation: one man can consume the same food in 20*40 = 800 days.
10 more men join, the total number of men = 20
The number of days the food will last = 800/30 = 27 days.
ANSWER:B
Question: Which of the following CANNOT be the least common multiple of two positive integers x and y
A.xy
B.x
C.y
D.y - x
Answer: D.y - x
Explanation: The least common multiple of two positive integers cannot be less than either of them. Therefore, since x - y is less than x, it cannot be the LCM of a x and y.
Answer: D
Question: In a sports club with 42 members, 20 play badminton and 23 play tennis and 6 do not play either. How many members play both badminton and tennis?
A.3
B.5
C.6
D.7
Answer: D.7
Explanation: 20+23=43
but where as total number is 42-6=36
therefore answer is 43-36=7
Hence Answer is D