RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: City A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
A.57
B.57.5
C.58.2
D.59
Answer: B.57.5
Explanation: The total distance is 1×50+3×60=2301×50+3×60=230. And the total time is 4 hours. Hence,
Average Speed=(Total DistanceTotal Time)=2304=57.5
B
Question: In how many W ways can the wordGMATbe arranged so that no such arrangement has A as the first letter?
A.6
B.12
C.18
D.24
Answer: C.18
Explanation: Number of ways of arranging the word GMAT = 4! = 24
Number of ways of arranging the word GMAT so that A is always in the first = 3! = 6
Number of ways of arranging GMAT so that A is not in the beginning W= 24 - 6 = 18
Answer: C
Question: What is the least integer greater than –1+0.5?
A.–2
B.–1
C.0
D.1
Answer: C.0
Explanation: This question is just about doing careful Arithmetic and remembering what makes a numberbiggerorsmallercompared to another number.
First, let's take care of the Arithmetic:
(-1) + (0.5) = -0.5
On a number line, since we're ADDING +.5 to a number, the total moves to the RIGHT (so we're moving from -1 to -0.5).
Next, the question asks for the LEAST integer that is GREATER than -0.5
Again, we can use a number line. Numbers become greater as you move to the RIGHT. The first INTEGER to the right of -0.5 is 0.
Final Answer:
C
Question: A watch was sold at a loss of 8%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.1000
B.2876
C.1977
D.1167
Answer: D.1167
Explanation: 92%
104%
--------
12% ---- 140
100% ---- ? => Rs.1167
Answer: D
Question: 25 x 10 + 25 x 11 = ?
A.725
B.720
C.600
D.525
Answer: D.525
Explanation: =25 x (10+11) (by distributive law)
=25 x 21
=525
Answer is D
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
A.288
B.277
C.299
D.500
Answer: D.500
Explanation: P - 340 = (P*4*8)/100
P = 500
Answer:D
Question: If x-y=8, which of the following must be true?
I. If x is positive, y must be positive
II. If x is negative, y must be negative
III.Both x and y are positive
A.I only
B.II only
C.III only
D.I and II
Answer: B.II only
Explanation: If x-y=8, which of the following must be true?
I. Both x and y are positive
II. If x is positive, y must be positive
III. If x is negative, y must be negative
1. x and y can be negative, for instance, -2 - (-10) = 8 =>Eliminate A and D
2. x can be positive and y can be negative, for instance, 2 - (-6) = 8 => Eliminate B and E
A) I only
B) II only
C) III only
D) I and II
E) II and III
Answer B
Question: The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 15 kmph, 18 kmph, 17 kmph, and 16 kmph respectively. What is the ratio of the time taken by B to than taken by D?
A.5:16
B.5:17
C.9:8
D.8:9
Answer: D.8:9
Explanation: Explanation :
Since it is a relay race, all the runners ran the same distance.
Hence for a same distance, (ratio of times) = 1/(ratio of speeds).
Hence ratio of times taken by B t& D = 16 : 18 = 8 : 9.
Answer : D
Question: If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/8*y ?
A. 48/25
B. 36/25
C. 6/5
D. 5/6
Answer: A. 48/25
Explanation: 5x = 6y => x/y = 6/5
1/5*x to 1/8*y = x/y * 8/5 = (6/5)*(8/5)=48/25
Ans: A
Question: What is the next number of the following sequence
3,7,13,21,?
A.22
B.31
C.41
D.35
Answer: B.31
Explanation: 2^2-1=3
3^2-2=7
4^2-3=13
5^2-4=21
6^2-5=31
ANSWER:B
Question: A discount electronics store normally sells all merchandise at a discount of 10 percent to 40 percent off the suggested retail price. If, during a special sale, an additional 5 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $500 before any discount?
A.$130.00
B.$285.00
C.$200.00
D.$258.00
Answer: B.$285.00
Explanation: Original price : 500 $
Max first discount = -40%
Thus : 500âˆ—(1âˆ’40/100)=300
Second discount on the discounted price = -20%
Thus : 300âˆ—(1âˆ’5/100)=285
Answer B.
Question: Find the total average marks of all the students in 2 separate classes, if the average marks of students in the first class of 39 students is 45 and that of another class of 35 students is 70.
A.55.8
B.51.8
C.53.8
D.56.8
Answer: D.56.8
Explanation: Sum of the marks for the class of 39 students = 39 * 45 = 1755
Sum of the marks for the class of 35 students = 35 * 70 = 2450
Sum of the marks for the class of 74 students =1755+2450=4205
Average marks of all the students = 4205/74
= 56.8
Answer:D
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
A.87 kmph
B.68 kmph
C.14 kmph
D.76 kmph
Answer: C.14 kmph
Explanation: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream
= (2+1)/(2-1)
= 3/1 = 3:1
Speed of the stream
= 42/3 = 14 kmph.
Answer:C
Question: Each term of a certain sequence is 3 less than the previous term. The first term of this sequence is 29. If the sum of the first n terms of the sequence is n, what is the value of positive integer n?
A.1
B.13
C.15
D.21
Answer: D.21
Explanation: We know that it is a decreasing sequence i.e. the terms keep decreasing till 0 and then negative terms start.
What does this imply?If the sum of the first n terms of the sequence is n
Since number of terms will definitely be positive, we are looking for a positive sum.
19 + 16 + 13 + 10 + 7 + 4 + 1 -2 -5 -7 -10 .... and so on
Note that the first 7 terms are positive and all others negative. Every negative term has greater absolute value than the corresponding positive terms i.e. -2 absolute value is greater than 1 absolute value, -5 absolute value is greater than 4 absolute value, and so on...
Since we have 7 positive terms, we must have less than 7 negative terms to get the sum as positive. If we have 6 negative terms, we will have a total of 13 terms. Of the given options, only 13 is possible and hence it must be the answer.
Answer (D)
Question: What percent of 60 is 25?
A.60%
B.50%
C.42%
D.25%
Answer: C.42%
Explanation: The phrasing of the question is difficult for some students. "What percent of 60 is 25?" is the same question as "25 is what percent of 60?" Many students find this later way of phrasing the question easier to work with.
If X is Y percent of Z, then X/Z=Y/100; For example, 10 is 50% of 20; X = 10, Y = 50, and Z = 20
Similarly, if you wanted to know what percent of 100 is 50, you would intuitively know that it is 50% since it is 50/100 or 50 per cent (literally, per 100).
Applying this logic to the problem at hand: 25/60= .42 = 42%
Thus, 25 is 42% of 60
If this way of solving the problem is difficult to conceptualize, consider another approach. It should be clear that 30 is 50% (or 1/2) or 60. Since 25 is less than 30, 25 must be less than 50% of 60. This means that any answer that is not less than 50% is wrong.
Since 25% is 1/4 and 1/4 of 60 is 15 (since 15*4=60), 25% is too small. By process of elimination, the answer is 42%
Answer C
Question: If f(x) = 2x+2 what is f(f(3))?
a. 18
b. 8
c. 64
d. 16
A.8
B.18
C.64
D.16
Answer: B.18
Explanation: f(3)=2*3+2=8
now put this value again in the function
f(8)=2*8+2=18
ANSWER:B
Question: When a number is multiplied by 13,it will become greater to 105 by an amount with which it is lesser to105 by now. What is the number
A.12
B.13
C.14
D.15
Answer: D.15
Explanation: no is 105-x, then
(105-x)*13 = 105+x
1365 -13 x =105+x
14x = 1260
x= 1260/14 =90
so number is 105-90 = 15
ANSWER:D
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
A.1 : 3
B.3 : 2
C.3 : 4
D.3 : 5
Answer: B.3 : 2
Explanation: let length of trains are x and y
so speed of the trains will be x/27 and y/17 respectively.
now to cross each other time taken=23 second,
so (x+y)/((x/27)+(y/17))=23
(27*17)(x+y)/17x+27Y=23
so, ((x/y)+1)/17(x/y)+27=23/27*17
(x/y)+1=(23x/27y)+23/17
4*(x/27)=6*(y/17)
so,(x/27):(y/17)=3:2
so ratio of speed of the train will be 3:2
ANSWER:B
Question: 75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 30% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?
A.25%
B.30%
C.50%
D.55%
Answer: A.25%
Explanation: Let x be the number of non-smoking rooms.
Let N be the total number of rooms at the inn.
40% of non-smoking rooms have a king-sized bed.
0.4x = 0.3N
x = 0.75N
The percentage of rooms which permit smoking is 1 - 0.75 = 25%
The answer is A.
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is
A.1/2
B.3/4
C.3/7
D.3/11
Answer: A.1/2
Explanation: The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2 = 1/2.
A)
Question: A sum of money lent out at S.I. amounts to a total of $590 after 2 years and to $815 after a further period of 5 years. What was the initial sum of money that was invested?
A.$490
B.$500
C.$510
D.$520
Answer: B.$500
Explanation: S.I for 5 years = $815 - $590 = $225
The S.I. is $45/year
S.I. for 2 years = $90
Principal = $590 - $90 = $500
The answer is B.
Question: A train 260 m long passed a pole in 26 sec. How long will it take to pass a platform 650 m long?
A.91 sec
B.89 sec
C.54 sec
D.27 sec
Answer: A.91 sec
Explanation: Speed = 260/26 = 10 m/sec.
Required time = (260 + 650)/10
= 91 sec.
Answer: A
Question: The compound ratio of 5:6, 3:2 and 4:5?
A.1:9
B.1:7
C.1:2
D.1:1
Answer: D.1:1
Explanation: 5/6 * 3/2 * 4/5
= 1/1
=1:1
Answer: D
Question: 2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school?
A.400
B.460
C.800
D.880
Answer: C.800
Explanation: Let total number of boys be x and total number of girls be y. y=400=>x = 600and^= I50=>y = 200 Now, x + y = 800
C
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 161?
A.2670
B.2980
C.3550
D.4030
Answer: D.4030
Explanation: 100 + 102 + ... + 160 =
100*31 + (2+4+...+60) =
100*31 + 2*(1+2+...+30) =
100*31 + 2(30)(31)/2 =
100*31 + 30*31 = 130(31) = 4030
The answer is D.
Question: Arun started a business investing Rs. 45,000. After three months. Pramod joined him with a capital of Rs.60,000. If at the end of one year, the total profit from the business is Rs.26,000, what would be Pramod's share in it?
A.Rs.10,000
B.Rs.14,000
C.Rs.13,000
D.Rs.16,000
Answer: C.Rs.13,000
Explanation: ( arun)45000*12 : (pramod)60000*9 =>>(45*12) : (60*9) ==> (arun) 1: (pramod) 1
pramod's share is >> 26000 * 1/(1+1)=>13000
ANSWER:C
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got
A.55%
B.56%
C.57%
D.58%
Answer: C.57%
Explanation: Explanation:
Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
Option C
Question: Marge has W candies, where W is an integer such that 20 < W< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children?
A. 0
B. 1
C. 2
D. 3
Answer: C. 2
Explanation: If Marge divides the candies equally among 5 children, she will have 2 candies remaining.
This tells us that the candies are of 5x + 2 type and so 22, 27, 32, 37, 42, or 47
If she divides the candies among 6 children, she will have 1 candy remaining.
this tells us it is if 6x+1 type and so 25, 31, 37, 43, or 49
ONLY 37 is common, so candies are 37 in number..
if 37 is divided in 7 kids, remainder W= 2
C
Question: If Rs.2800 yields a simple of Rs.480 in 3 Years, calculate the percentage rate?
A.11.6%
B.10%
C.14.6%
D.12.6%
Answer: B.10%
Explanation: 480 = (2400*2*R)/100
R = 10%
Answer: B
Question: The sum of two consecutive number is 97. Which is the larger number?
A.42
B.49
C.44
D.45
Answer: B.49
Explanation: Let consecutive number be x, x+1
Therefore sum of the consecutive number is x + x+1=97
2x+1=97
2x=96
x=48
Therefore larger number is x+1=49
ANSWER:B
Question: The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 50,000 bacteria
A.10
B.12
C.14
D.16
Answer: B.12
Explanation: The question basically asks how many minutes it takes for a population to increase by factor 50(50,000 / 1,000 = 50).
Now you know that every two minutes the population doubles, i.e. is multiplied by 2. So the equation becomes:
2^x >= 50, where x represents the number of times the population doubles. A lot of people remember that 2^10 = 1,024. Hence, 2^6 = 64, i.e. the population has to double 6 times.
Since it takes the population 2 minutes to double once it takes 6*2 minutes = 12 minutes to double nine times.
Thus, solution B = 12 is correct.
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
A.10
B.18
C.20
D.22
Answer: C.20
Explanation: 2:3
2x + 10 : 3x + 10 = 3 : 4
4[2x + 10] = 3[3x + 10]
8x + 40 = 9x + 30
9x - 8x = 40 - 30
x = 10
Then smallest number is = 2
2x = 20
Short cut method:
a:b = 2:3
c:d = 3:4
1.Cross multiplication with both ratios
a * d ~ b * c = 2 * 4 ~ 3 * 3 = 8 ~ 9 = 1
2. If 10 is added both the number means 10 * 3 = 30 and 10 * 4 = 40,
Then 30 ~ 40 = 10
===> 1 -----> 10
===> 2 -----> 20
C
Question: Here are some words translated from an artificial language.
hapllesh means cloudburst
srenchoch means pinball
resbosrench means ninepin
Which word could mean "cloud nine"?
A.leshsrench
B.ochhapl
C.haploch
D.haplresbo
Answer: D.haplresbo
Explanation: Hapl means cloud; lesh means burst; srench means pin; och means ball; and resbo means nine. Leshsrench (choice a) doesn't contain any of the words needed for cloud nine. We know that och means ball, so that rules out choices b and c. When you combine hapl (cloud) with resbo (nine), you get the correct answer
Answer:D
Question: N is the greatest number which divides 1305, 4665 and 6905 and gives the same remainder in each case. What is the sum of the digits in N?
A.23
B.28
C.4
D.1
Answer: C.4
Explanation: If the remainder is same in each case and remainder is not given, HCF of the differences of the numbers is the required greatest number
6905 - 1305 = 5600
6905 - 4665 = 2240
4665 - 1305 = 3360
Hence, the greatest number which divides 1305, 4665 and 6905 and gives the same remainder, N
= HCF of 5600, 2240, 3360
= 1120
Sum of digits in N
= Sum of digits in 1120
= 1 + 1 + 2 + 0
= 4
Answer is C
Question: If A,B,C,D,E,F,G,H,I,J are in an decreasing Arithmetic Progression as such. Then Which of the following operations will result in either mean or the median being modified.
A) A is replaced by J
B) A and H are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and D are removed
A.1) A and B
B.2) A and E
C.3) A,B,E
D.4) All of them
Answer: C.3) A,B,E
Explanation: Here answer will be (C).
There are 10 equidistant numbers on the number line.
Mean and median will be the average of middle two numbers.
If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers. Other changes will affect the mean and median.
Answer: C
Question: The perimeter of an isosceles right triangle is 10 + 10 sq rt 2. What is the length of the hypotenuse of the triangle?
A.5
B.6
C.7.07
D.8
Answer: C.7.07
Explanation: side of triangle is a then perimeter = a+ a +a.sqrt2 ( right angle and pythagorus) =2a +a .sqrt 2 =10 + 10 Sqrt2 or,
a. ( 2+ sqrt2) = 10(1 + sqrt2), a= 10*(1+sqrt2)/2+sqrt2 =10*2.414/3.414 =0.707*10 then hypotenuse = 7.07
C
Question: A women walking at 5 Kmph reaches her office 8 minutes late. If she walks at 9 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
A.2 1/5 Km
B.3 Km
C.4 1/3 Km
D.5 Km
Answer: B.3 Km
Explanation: Formula = S1*S2/S2-S1 * T1+T2/60
= 5*9/2 * 16/60
= 45/2 * 16/60
= 3 Km
B)
Question: On a map, 3.5 inches represent 35 miles. How many miles approximately is the distance if you measured 127 centimeters assuming that 1-inch is 2.54 centimeters?
A.515
B.500
C.525
D.530
Answer: B.500
Explanation: 1 inch = 2.54 cm
3.5 inch = 2.54 * 3.5 cm
8.89 cm = 35 miles
127 cms = 35/8.89*127= 500 miles
Answer : B
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
A.22 1/7 kmph
B.22 2/2 kmph
C.22 1/4 kmph
D.22 1/2 kmph
Answer: D.22 1/2 kmph
Explanation: 100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 2 2 1/2 kmph
Answer:D
Question: Tough and Tricky questions: Exponents.
If 3^m3^m2^m = 9^n, then m/n =
A.1/3
B.2/3
C.1
D.3/2
Answer: B.2/3
Explanation: I also soved it, but a bit differently. Thank you for reminding me of this much easier and logical way!
What I did was to test powers of 3 that would lead to 9.
So, we have 3 raised to the same power 3 times and 9 raised to another power one time: 3^m3^m3^m = 9^n
What I did was test 3 raised to the power of 2 like this:
3^2*3^2*3^2 = 9*9*9 = 9^3. This means that m=2 and n=3. So, m/n=2/3.B
Question: If 12 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 10
II. 20
III. 30
A.I only
B.II only
C.I and II only
D.II and III only
Answer: C.I and II only
Explanation: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Let x be the length of the third side.
15-12 < x < 15+12
3 < x < 27
The answer is C.
Question: The larger of two negative consecutive even integers 2t and 2(t-1) is multiplied by 2 and then added to the smaller of the two original integers. Which of the following represents this operation?
A.6t-2
B.8t-2
C.-2
D.3
Answer: A.6t-2
Explanation: larger of 2t-2, 2t (when they are negative) is 2t. the smallest of 2t and 2t-2 when they are positive is 2t-2.
therefore 2* 2t + 2t-2 = 6t-2.
option A.
Question: A passenger sitting near the window in a train moving at 40 km/h, noticed that it took 3 sec. for the oncoming train to pass by. What was the speed of the oncoming train if the length of the oncoming train was 66 metres?
A.a)39.2km/h
B.b)52km/h
C.c)56km/h
D.d)60km/h
Answer: A.a)39.2km/h
Explanation: im getting A
3 secs to pass a 75 mts train , therefore speed = 22 meters/sec
to convert m/s to km/hrs multiply by 3.6
22*3.6 = 79.2
so its 79.2-40 = 39.2 .
A
Question: What is the difference between local value & face value of 9 in the numeral 65793?
A.8453
B.8956
C.8991
D.9890
Answer: C.8991
Explanation: (Local value of 9) - (Face value of 9)
= (9000 - 9) = 8991
C
Question: A man covers a certain distance Win a train. If the train moved 4km/hr faster, it would take 30 min less. If it moved 2km/hr slower, it would take 20 mins more. Find the distance?
A.200 km
B.50 km
C.20 km
D.60 km
Answer: D.60 km
Explanation: Not really. When you solve the 2 equation above, you get,
6T-4/3 = 5R/6 from simplifying equation 1
4T-2=R/2 from simplifying equation 2
You can now multiply equation 2 by 5 to get
5(4T-2=R/2 ) = 20T-10=5R/2 and then subtract this new equation from equation 1 to get T=3, followed by R=20 to give you distance W= R*T=20*3=60 km.D
Question: If x and y are positive integers and x = 5y + 2, what is the remainder when x is divided by 5?
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: This question asks what IS...(the answer), so we know that the answer will be consistent. As such, we can TEST VALUES to quickly get the solution.
We're told that X and Y are POSITIVE INTEGERS and X = 5Y + 2. We're asked for the REMAINDER when X is divided by 5.
IF....
Y = 1
X = 7
7/5 = 1 remainder 2
Final Answer:
C
Question: We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value T of the ratio A/B?
A.1/2
B.1/3
C.2/3
D.1/4
Answer: A.1/2
Explanation: T-> A/B=20*21*……*39/21*22*….*39*40=20/40=1/2.
Therefore, the answer is A.
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
A.18 2/7%
B.18 2/11%
C.12 2/12%
D.13 2/9%
Answer: B.18 2/11%
Explanation: 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer: B
Question: Bradley owns b/2 video game cartridges. If Bradleyâ€™s total is one-half the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
A.(16/3)b
B.(17/4)b
C.(13/8)b
D.(9/2)b
Answer: D.(9/2)b
Explanation: Step 1: Categorize the problem
This problem is testing basic algebra and equations, with an extra layer of complexity by having variables in the answer choices.
Step 2: Think like the test maker
What is the key detail or key details in the problem? The key detail to immediately recognize is that the problem gives you Andrew and Charlieâ€™s totals in relation to Bradleyâ€™s total rather than giving you Bradleyâ€™s total in relation to the other two; and then the problem asks you to solve the problem in terms of b. This means that you have to relate Andrew and Charlieâ€™s values in relation to Bradleyâ€™s total. The test maker is attempting to force you to structure the problem in the opposite way that most people are used to structuring information. By gaining this insight, it makes it easier to solve the problem.
Step 3: Solve the problem
b/2 = Bradleyâ€™s total
2*b/2 = Andrewâ€™s total
1/4*b/2 = Charlieâ€™s total
Add each total
b/2 + 2*b/2+ 1/4*b/2 = b/2 + 2*b/2 + b/8 = (13/8)b
Therefore,choose D.
Question: On dividing a number by 56, we get 26 as remainder. On dividing the same number by 8, what will be the remainder ?
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: Number=56x+26 (∵ since the number gives 26 as remainder on dividing by 56)
=(7×8×x)+(3×8)+2
Hence, if the number is divided by 8, we will get 2 as remainder.
ANSWER:A
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
A.20 Kmph
B.15 Kmph
C.30 Kmph
D.32 Kmph
Answer: B.15 Kmph
Explanation: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph
B
Question: In store A there are 10 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
A.3:16.
B.2:3.
C.1:3.
D.3:4.
Answer: C.1:3.
Explanation: Amount for Store a = 10 * 4 = 40
Amount for Store b = 40 * 3 = 120
Ratio of Total Amount Would be = 40/120 = 1:3
ANSWER:C
Question: Cream costs twice as much as skim milk. A certain brand of milk is 3/5 cream and 2/5 skim milk. What fraction of the cost of this brand is due to the cream?
A.1/2
B.1/3
C.2/3
D.3/4
Answer: D.3/4
Explanation: Let x be the cost of the skim milk in the mixture.
The cost of the cream is (3/2)*x*2 = 3x.
The total cost is x+3x = 4x and the fraction due to the cream is 3x / 4x = 3/4
The answer is D.
Question: What is the total number of integers between 20 and 80 (exclusive)that are divisible by 10?
A.5
B.7
C.4
D.9
Answer: A.5
Explanation: 30,40,50,60,70
total 5
Answer is A