RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
A.95
B.92
C.88
D.82
Answer: C.88
Explanation: Area of the field =680 sq. feet.
Length of the adjacent sides are
20 feet and 680/20=34 feet.
Required length of the fencing
=20+34+34=88 feet Answer: Option C
Question: Latha has 10 candies, ramu has 20 candies. Totally how many candies they have in all?
A.10
B.20
C.50
D.30
Answer: D.30
Explanation: 10+20=30. Answer is D
Question: If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 1)
II. z<(x − 1)/(y − 1)
III. z>(x + 1)/(y + 1)
A.I only
B.I and II
C.II and III
D.II only
Answer: A.I only
Explanation: x < y --> Let x = 2 and y = 3 --> z = 2/3
I. z>(x − 1)/(y − 1) --> 2/3 > 1/2 --> True
II. z<(x − 1)/(y − 1) --> 2/3 < 1/2 --> False
III. z>(x + 1)/(y + 1) --> 2/3 > 3/4 --> False
Answer: A
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
A.80,70 kmph
B.87,40 kmph
C.80,40 kmph
D.70,40 kmph
Answer: C.80,40 kmph
Explanation: Speed downstream = 60 + 20 = 80 kmph
Speed upstream = 60 - 20 = 40 kmph
Answer: C
Question: The angle between the minute hand and the hour hand of a clock when the time is 7.30, is
A.35°
B.65°
C.55°
D.45°
Answer: D.45°
Explanation: Angle between hands of a clock
When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock
=30(H−M/5)+M/2 degree
When the minute hand is ahead of the hour hand, the angle between the two hands at M minutes past H 'o clock
=30(M/5−H)−M/2 degree
Here H = 7, M = 30 and minute hand is behind the hour hand.
Hence the angle
=30(H−M/5)+M/2
=30(7−30/5)+30/2
=30(7−6)+15
=30×1+15 =45°
Answer is D.
Question: What will $1000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?
A.$1596
B.$1624
C.$1728
D.$1832
Answer: C.$1728
Explanation: After one year: 1.2 * $1000
After two years: (1.2)^2 * $1000
After three years: (1.2)^3 * $1000 = $1728
The answer is C.
Question: 12. What is the dividend. divisor 17, the quotient is 9 and the remainder is 5.
A.150
B.152
C.154
D.158
Answer: D.158
Explanation: D = d * Q + R
D = 17 * 9 + 5
D = 153 + 5
D = 158
Question: Can you find the missing number in the sequence given below?
10 15 20 11 16 ? 12 17 22 13 18 23
A.25
B.23
C.21
D.18
Answer: C.21
Explanation: Let's break the given series as below:
10 15 20
11 16 ?
12 17 22
13 18 23
Now read the number from left hand side from top to bottom as :
So the number that will replace '?' is 21
Answer : C
Question: Each shelf of a bookcase contained 12 books. If the librarian took out 19 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 9 books, how many shelves does the bookcase have?
A.7
B.6
C.5
D.8
Answer: C.5
Explanation: Let x be the number of shelves.
No of books in the beginning =12*x
After taking out 21 books No of remaining books = 12x -19
when the remaining books are rearranged, each shelf except the last shelf has 8 books and the last shelf has 11 books. So No of remaining books is also equal to 8*(x-1)+9
12x-19=8(x-1)+9
4x=20
x=5. Answer C
Question: If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 210 responses are needed, what is the minimum number of questionnaires that should be mailed?
A.290
B.320
C.350
D.380
Answer: C.350
Explanation: Let x be the minimum number of questionnaires to be mailed.
0.6x = 210
x = 350
The answer is C.
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 140 m, in what time will they cross other travelling in opposite direction?
A.17 sec
B.12 sec
C.16 sec
D.14 sec
Answer: D.14 sec
Explanation: Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train = 120/5 = 8 m/sec.
Relative speed = 12 + 8 = 20 m/sec.
Required time = (140 + 140)/20 = 14 sec.
Answer:D
Question: A batsman makes a score of 74 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
A.25
B.31
C.26
D.29
Answer: C.26
Explanation: Let the average after 17 innings = x
Total runs scored in 17 innings = 17x
Average after 16 innings = (x-3)
Total runs scored in 16 innings = 16(x-3)
Total runs scored in 16 innings + 74 = Total runs scored in 17 innings
=> 16(x-3) + 74 = 17x
=> 16x - 48 + 74 = 17x
=> x = 26
Answer is C
Question: Sakshi can do a piece of work in 15 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
A.15
B.16
C.18
D.12
Answer: D.12
Explanation: Solution
Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4 .
Suppose Tanya taken x days to do the work.
5 : 4 : : 15 : x ⇒ x = (15x4/5) ⇒ x = 12 days.
Hence,Tanya takes 16 days is complete the work.
Answer D
Question: Find the number of factors of 9321?
A.3
B.6
C.8
D.16
Answer: C.8
Explanation: 9321 = 3 x 13 x 239 = 31 x 13 1 x 239 1 ; add one to all the powers i.e.,
(1+1) x (1+1) x (1+1)= 8 ;
we get eight factors 1, 3, 13, 39, 239, 717, 3107, 9321
ANSWER:C
Question: If P and Q are non-zero integers, and P/Q > 1, then which of the following must be true?
A.P > Q
B.2P >Q
C.P^2< Q^2
D.PQ > P
Answer: D.PQ > P
Explanation: D
Question: If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 136 games will be played during the tournament. Find the number of participants.
A.15
B.16
C.17
D.18
Answer: C.17
Explanation: Let P be the number of participants.
PC2 = 136
(P)(P-1) = 272 = 17*16
P = 17
The answer is C.
Question: If 25^5 × 5^(-1) = (125)^x , then what is the value of x?
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: 25^5 × 5^(-1) = (125)^x
(5^2)^5 × 5^(-1) = 5^3x
5^10 x 5^(-1) = 5^3x; Since all of the bases are the same now, we can equate the exponents in the next step
10-1 = 3x
9=3x
x=3
Ans. B)3
Question: If p#q denotes the least common multiple of p and q, then Q=((12#16)#(18#24)) = ?
A. 216
B. 180
C. 144
D. 108
Answer: C. 144
Explanation: There are several ways to find the Least Common Multiple of two numbers. In this case, the most efficient method is to use the Greatest Common Factor: (A * B) / (GCF AB) = LCM AB
The greatest common factor of 12 and 16 is 4. So, 12#16 = 12*16/4 = 48.
The greatest common factor of 18 and 24 is 6. So, 18#24 = 18*24/6 = 72
Finally, the greatest common factor of 48 and 72 is 24. So,Q= ((12#16)#(18#24)) = 48#72 = (48*72)/24 = 2*72 = 144
The correct answer is C.
Question: A certain fruit stand sold apples for $0.70 each and bananas for $0.60 each. If a customer purchased both apples and bananas from the stand for a total of $5.60, what total number of apples and bananas did the customer purchase?
A.8
B.9
C.10
D.11
Answer: B.9
Explanation: Let's start with 1 apple for $0.70.
Let's subtract $0.70 from $5.60 until we get a multiple of $0.60.
$5.60, $4.90, $4.20 = 7*$0.60
The customer purchased 7 bananas and 2 apples.
The answer is B.
Question: An article is bought for Rs.675 and sold for Rs.810, find the gain percent?
A.33 1/9%
B.33 8/3%
C.20%
D.33 2/3%
Answer: C.20%
Explanation: 675 ---- 135
100 ---- ? => 20%
Answer: C
Question: The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 45 years, was replaced by a new person. Find the age of the new person?
A.12
B.15
C.18
D.21
Answer: B.15
Explanation: Initial average age of the 10 persons be P.
Age of the new person Q.
Sum of the ages of the initial 10 persons = 10P
New average = (P-3)
10(P-3) = 10P - 45 + Q => Q = 15
ANSWER:B
Question: For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 210 books with me to gift her.
Can you calculate, on which day is our anniversary?
A.20
B.28
C.23
D.33
Answer: A.20
Explanation: A
20rd day
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 210
Thus our anniversary falls on the 20rd day of the month.
You can apply other formulas to shorten the process but that is the simplest way to do it.
Question: If A, B, C, and D are integers such that A - C + B is even and D + B - A is odd, which of the following expressions is always odd?
A.A + D
B.B + D
C.C + D
D.A + B
Answer: C.C + D
Explanation: Even matrix method takes more than two mins in this problem since you have to jot down the even and odd values.
Try subtracting the equations
(A - C + B) - (D + B - A) = 2A-(C+D)
Even - Odd = Odd
So 2A-(C+D) is odd
2A is always even , so the subtrahend should always be odd, so C+D is odd.
ANSWER:C
Question: The number 311311311311311311311 is
A.divisible by 3 but not by 11
B.divisible by 11 but not by 3
C.divisible by both 3 and 11
D.neither divisible by 3 nor by 11
Answer: D.neither divisible by 3 nor by 11
Explanation: Solution
311 is repeated seven times in the number, 311 is not divisible by 3 but 311 repeated twice is not divisible by 3, but divisible by 11.
Similarly 311 repeated thrice is divisible by 3, but not by 11.
As 311 is repeated seven times, which is neither multiple of 2 nor 3.
So, number is not divisible by 3 or 11. Answer D
Question: The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 2-hour period?
A.88
B.56
C.42
D.17
Answer: D.17
Explanation: Complete trip = 10 floors up and 10 floors down = 20 floors = 20*1/4 = 5 minutes plus 2 minutes = 7 minutes.
2 hour = 120 minutes.
In 120 minutes operator can make 120/7=17 trips.
Answer: D.
Question: A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
A.9%
B.11%
C.15%
D.25%
Answer: D.25%
Explanation: Cost of 12 paper towels individually = 1*12=12
Cost of a set of 12 paper towels = 9
Cost of one roll = 9/12 = 3/4 = 0.75
Savings per roll = 1-.75 = 0.25
% of savings is = .25/ 1 *100 = 25%
D is the answer.
Question: bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.
A.7/15
B.2/8
C.7/11
D.13/5
Answer: A.7/15
Explanation: Explanation:
Drawing two balls of same color from seven green balls can be done in â·Câ‚‚ ways.
Similarly from eight white balls two can be drawn in â¸Câ‚‚ ways.
P = â·Câ‚‚/Â¹âµCâ‚‚ + â¸Câ‚‚/Â¹âµCâ‚‚ = 7/15
A
Question: If the population of a certain country increases at the rate of one person every 45 seconds, by how many persons does the population increase in 1 hour?
A.80
B.120
C.150
D.180
Answer: A.80
Explanation: Answer = 1.33 * 60 = 80
Answer is A
Question: The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 6. If p is any prime number then f(p)=
A.p-1
B.p-2
C.(p+1)/2
D.(p-1)/2
Answer: D.(p-1)/2
Explanation: The confusing moment in this question is its wording. Basically question is: how many positive integers are less than given prime number p which has no common factor with p except 1.
Well as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).
If we consider p=7 how many numbers are less than 7 having no common factors with 7: 1, 2, 3, 4, 5, 6 --> 7-1=6.
Answer: D.
Question: In wardrobe Marry has 3trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4shirts. One of them is grey and the other 3are white. He openshiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
A.1/2
B.2/3
C.3/5
D.4/7
Answer: A.1/2
Explanation: Probability that trouser is not grey = 2/3
Probability that shirt is not grey = 3/4
∴ Required probability = 2/3 x 3/4 = 1/2
A
Question: What is the least value of x, So that 2x4472 is divisible by 9
A.7
B.8
C.9
D.3
Answer: B.8
Explanation: Explanation:
The sum of the digits of the number is divisible by 9.
Then the number is divisible by 9.
2 + x + 4 + 4 + 7 + 2 = 19 + x
Least value of x may be '8',
So that the total 19 + 8 = 27
is divisible by 9.
Answer: Option B
Question: How many positive integer solutions does the equation 4x+5y = 100 have?
A.50
B.33
C.16
D.5
Answer: D.5
Explanation: formula: (constant)/(lcm of two nos)
=100/(4*5)=5
ANSWER:D
Question: A 7-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point?
A.4/5
B.6/7
C.5/8
D.7/9
Answer: B.6/7
Explanation: The longer wire will form a square with an area more than 1 if the wire is cut at a point within three meters of either end. The probability of this is 6/7.
The answer is B.
Question: Find the length of the wire required to go 13 times round a square field containing 24336 m2.
A.15840
B.3388
C.2667
D.8112
Answer: D.8112
Explanation: a2 = 24336 => a = 156
4a = 624
624 * 13 = 8112
Answer: D
Question: If (x – 1)^2 = 144, which of the following could be the value of 2x?
A.–26
B.–22
C.–11
D.12
Answer: B.–22
Explanation: If (x-1)^2 = 144
then (x-1) = Sq rt 144
= 12 ( can have both positive and negative values)
If positive
then (x-1) = 12
=> x = 13 => 2x = 26
If negative
then (x-1) = -12
=> x = -12+1 = -11 => 2x = -22
Out of options given, we can see B has -22 value .
Hence option B
Question: 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
A.24
B.77
C.36
D.25
Answer: A.24
Explanation: Explanation:
Less Men, means more Days {Indirect Proportion}
Let the number of days be x
then,
27 : 36 :: 18 : x
[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]
{\color{Blue} x=\frac{36\times 18}{27}}
x = 24
So 24 days will be required to get work done by 27 men.
Answer: A
Question: The distance from City A to City B is 120 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?
A.45
B.48
C.50
D.52
Answer: B.48
Explanation: The time it takes Bob to drive to City B is 120 / 40 = 3 hours.
Alice needs to take less than 2.5 hours for the trip.
Alice needs to exceed a constant speed of 120 / 2.5 = 48 miles per hour.
The answer is B.
Question: Two trains are moving at 60 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
A.5 sec
B.6 sec
C.7 sec
D.8 sec
Answer: C.7 sec
Explanation: 70 + 60 = 130 * 5/18 = 325/9 mps
D = 150 + 100 = 250 m
T = 250 * 9/325 = 7 sec
Answer:C
Question: Three hoses work to fill a tub at at different rate. Hose T and B, working together, can fill the tub in 6/5 of an hour. Hoses T and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub?
Edited for accurate solution
A.3/10
B.2/5
C.1/2
D.1
Answer: D.1
Explanation: Convert the given time to rate and you will be able to add it up.
Total Rate of T and B = Rate of T + Rate of B = 1/(6/5) = 5/6
Total Rate of T and C = Rate of T + Rate of C = 1/(3/2) = 2/3
Total Rate of B and C = Rate of B + Rate of C = 1/2
Adding all three,
2(Rate of T + Rate of B + Rate of C) = 5/6 + 2/3 + 1/2 = 2
Rate of T + Rate of B + Rate of C = 1 tub/hour
Time taken by all three together to fill up the tub is 1 hour=D
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
A.3 1/3%
B.3 5/3%
C.3 1/9%
D.3 1/5%
Answer: A.3 1/3%
Explanation: P = (P*30*R)/100
R = 3 1/3%
Answer:A
Question: A person borrows 20000 for 6 years at 8% p.a. simple interest. He immediately lends it to another person at 9 % p.a. for 6 years. Find his gain in the transaction per year.
A.200
B.250
C.210
D.190
Answer: A.200
Explanation: Gain in 6 years
= [(20000Ã—9Ã—6/100)âˆ’(20000Ã—6Ã—8/100)]
= (10800 â€“ 9600) = 1200
âˆ´ Gain in 6 year = (1200/6) = 200
Answer A
Question: Three candidates contested an election and received 2136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got
A.54.3%
B.56%
C.57%
D.58%
Answer: A.54.3%
Explanation: Explanation:
Total number of votes polled = (2136 + 7636 + 11628) = 21400
So, Required percentage = 11628/21400 * 100 = 54.3%
Answer: Option A
Question: 12In dividing a no. by 585, a student employed the method of short division. He divided the no.successively by 5, 9 and 13 and got the remainders 4, 8, 12 respectively. What would havebeen the remainderif he had divided the no. by 585?
A.245
B.345
C.560
D.584
Answer: D.584
Explanation: Let
p
p be the number
Suppose,
p
÷
5
=
q
p÷5=q, remainder = 4
q
÷
9
=
r
q÷9=r, remainder = 8
r
÷
13
=
s
r÷13=s, remainder = 12
Hence,
r
=
13
s
+
12
r=13s+12
q
=
9
r
+
8
=
9
(
13
s
+
12
)
+
8
=
117
s
+
116
q=9r+8=9(13s+12)+8=117s+116
p
=
5
q
+
4
=
5
(
117
s
+
116
)
+
4
=
585
s
+
584
p=5q+4=5(117s+116)+4=585s+584
Therefore, if
p
p is divided by 585, we will get 584 as remainder.
D
Question: A customer went to a shop and paid a total of $25, out of which 90 cents was for sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.$8.50
B.$8.70
C.$9.10
D.$10.00
Answer: C.$9.10
Explanation: The total cost was $25.
The tax was $0.90
Let the original price of the taxable items = x
Given that tax rate = 6%
0.06x = 0.90
x = $15
The cost of the tax free items was $25 - $15 - $0.90 = $9.10
The answer is C.
Question: What should be the least number to be added to the 51234 number to make it divisible by 9?
A.6
B.4
C.3
D.5
Answer: C.3
Explanation: The least number to be added to the numbers to make them divisible by 9 is equal to the difference of the least multiple of 9 greater than the sum of the digits and sum of the digits.
Sum of digits = 15.
Nearest multiple of 9 greater than sum of digits = 18.
Hence 3 has to be added.
ANSWER:C
Question: How many 4-letter word with or without meaning can be formed out of the letters of the word 'LOGARITHMS' if repetition of letters is not allowed
A.1024
B.5040
C.3260
D.1540
Answer: B.5040
Explanation: 'LOGARITHMS' contains 10 different letters
Required number of words
= Number of arrangements of 100 letters taking
4 at a time
= 10P4
= 10 * 9 * 8 * 7
= 5040
Ans: B
Question: In Town X, 64 percent of the population are employed, and 40 percent of the population are employed males. What percent of the employed people in Town X are females?
A.38%
B.25%
C.32%
D.40%
Answer: A.38%
Explanation: We are asked to find the percentage of females in employed people.
Total employed people 64%, out of which 40 are employed males, hence 24% are employed females.
(employed females)/(total employed people)=24/64=38%
Answer: A.
Question: A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?
A.79.2 km/hr
B.47.52 km/hr
C.7.92 km/hr
D.39.6 km/hr
Answer: B.47.52 km/hr
Explanation: Explanatory Answer
The radius of the wheel measures 21 cm.
In one rotation, the wheel will cover a distance which is equal to the circumference of the wheel.
∴ in one rotation this wheel will cover 2 * π * 21 = 132 cm.
In a minute, the distance covered by the wheel = circumference of the wheel * rpm
∴ this wheel will cover a distance of 132 * 600 = 79200 cm in a minute.
In an hour, the wheel will cover a distance of 79200 * 60 = 4752000 cm.
Therefore, the speed of the car = 4752000 cm/hr = 47.52 km/hr
Choice B is the correct answer.
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
A.Rs.1350
B.Rs.1327
C.Rs.1328
D.Rs.1397
Answer: A.Rs.1350
Explanation: Area = (l + b +2d) 2d
= (75 + 55 +2.5 * 2) 2*2.5 => 675
675 * 2 = Rs.1350
Answer: A
Question: A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain is.
A.20%
B.21%
C.22%
D.23%
Answer: B.21%
Explanation: Explanation:
Gain%=((100+common gain%)2/ 100−100)%
=((100+10)2/ 100−100)%
=(12100−10000/ 100)%=21%
Option B
Question: How many 3/4 foot pieces of cable can be cut out of a piece that is 40 feet long?
A.a.50
B.b.56
C.c.57
D.d.53
Answer: D.d.53
Explanation: Pretty Simple..the answer is choice (D) 53.
All that one has to do is :
1: Convert 3/4 into an improper fraction (3/4) or a decimal (0.75)
2: Divide 40 by 3/4 (or 0.75)
Answer =53 (D)
Question: The number n yields a remainder p when divided by 12 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of n ?
A.45
B.34
C.72
D.85
Answer: B.34
Explanation: I solved this question in the following way:
Q<7 so Q can be from 0 to 6 and P<12 so P can be from 0 to 11, BUT the constraint is P=Q +7 so this will mean that P can be in the range from 7 to 11.
n=12k + P or n= 12k + 7 to 11 and look at the answer as, place different values for k, B will give 34 which is 12*2 + 10, the other answers are out of the range
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.360. How much does C have?
A.60
B.78
C.267
D.29
Answer: A.60
Explanation: A+B+C = 500
A+C = 200
B+C = 360
--------------
A+B+2C = 560
A+B+C = 500
----------------
C = 60
Answer: A
Question: The value of (34.31*0.473*1.567)/(0.0673*23.5*7.57) is close to
A.2
B.1.15
C.2.05
D.2.12
Answer: D.2.12
Explanation: (34.31*0.473*1.567)/(0.0673*23.5*7.57) = 25.4303/11.972
= 2.12
ANSWER:D
Question: The LCM of two numbers is 2310 and HCF is 55. If one of the numbers is 210. Then what is the other number ?
A.715
B.825
C.330
D.605
Answer: D.605
Explanation: First number * Second Number = LCM * HCF
Other number = 2310 * 55 / 210 = 11*55 = 605
ANSWER :D
Question: A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
A.20 days
B.22 1/2 days
C.24 days
D.25 days
Answer: B.22 1/2 days
Explanation: Ratio of times taken by A and B = 1 : 3.
The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.
If difference of time is 2 days, B takes 3 days.
If difference of time is 60 days, B takes (3/2 * 60) = 90 days
So, A takes 30 days to do the work.
A's 1 day's work =1/30
B's 1 day's work =1/90
(A + B)'s 1 day's work = (1/30 + 1/90) = 4/90 = 2/45
A and B together can do the work in 45/2 = 22 1/2 days
Answer = B
Question: A shopkeeper sells 450 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
A.12
B.27
C.29
D.45
Answer: D.45
Explanation: SP per metre = 18000/450 = Rs. 40 Loss per metre = Rs. 5 CP per metre = 40 + 5 = Rs. 45.Answer: D
Question: If $5,000 is invested in an account at a simple annual rate of r percent, the interest is $250. When $17,000 is invested at the same interest rate, what is the interest from the investment?
A.$700
B.$750
C.$800
D.$850
Answer: D.$850
Explanation: 5000*r*t/100=250
rt=5
17000*5/100=850
Answer is D