RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In how many ways can 4 boys and 3 girls sit around a table in such a way that no two girls sit together?
A.100
B.144
C.155
D.180
Answer: B.144
Explanation: The 4 boys can be seated around a table in 3! Ways. In between them there are 4 places.
The 3 girls can be placed in the 4 places in 4P3 ways.
Therefore, Required number of ways= 3!* 4P3
=6*24
=144
ANSWER:B
Question: Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 10 laps around the track per hour and Nick completes 5 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?
A.5
B.48
C.12
D.15
Answer: B.48
Explanation: Maria's rate - 10 laps per hour --> 10/60 laps/min
Nick's rate - 5 laps per hour --> 5/60 laps/min
lets set equations:
10/60*t=4 (since Maria had to run 4 laps before Nick would start)
5/60*t=0 (Hick has just started and hasn't run any lap yet)
(10/60-5/60)*t=4-0 (since Nick was chasing Maria)
t=48 min needed Maria to run 4 laps
Answer : B
Question: When x dividedby 288, the remainder is 47. Find the remainder when the same x is divided by 24?
A.20
B.23
C.25
D.27
Answer: B.23
Explanation: 23
Option B
Question: A car covers a distance of 636 km in 6 ½ hours. Find its speed?
A.104 kmph
B.176 kmph
C.298 kmph
D.106 kmph
Answer: D.106 kmph
Explanation: 636/6
= 106 kmph
Answer:D
Question: If the sum of the interior angles of a regular polygon measures up to 1260 degrees, then how many sides does the polygon have?
A.10
B.9
C.12
D.11
Answer: B.9
Explanation: one of the interior angle = 180 - 360/n
sum of the interior angles is = n (180 - 360/n)
given
n(180 - 360/n)=1260
180n - 360 = 1260
180n = 1620
n = 1620/180 = 9
ANSWER:B
Question: The probability of pulling a black ball out of a glass jar is 1/Q. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
A.1/(XY)
B.Q/Y
C.Y/X
D.1/(X+Y)
Answer: B.Q/Y
Explanation: P of pulling a black ball out of a glass jar AND breaking the jar = 1/Y
P of pulling a black ball out of a glass jar is 1/Q
Lets say P of breaking the jar = n
That means 1/Q*n=1/Y
n= Q/Y
B is the answer
Question: A cistern can be filled by 3 pipes in 30, 40 and 60 min and emptied by an escape pipe in half an hour the 3 taps are turned on at noon but the escape pipe is at the same time accidentally left open and not closed for a quarter of an hour at what time will the cistern be full?
A.60 min
B.90 min
C.120 min
D.150 min
Answer: C.120 min
Explanation: Explanation:
Let the total time be x min
x/30 + x/40 + x/60 – x/15 = 1
=> x = 120 min
Answer: Option C
Question: The factorial expression 13!/7! is not divisible by which of the following integers?
A.3
B.5
C.6
D.7
Answer: D.7
Explanation: 13!/7!
= (13*12 * 11 *10 * 9 * 8 * 7!)/7!
= 13*12 * 11 * 10 * 9*8
The given factorial expression is not divisible by 7
Answer D
Question: Rahul travels from A to B a distance of 200 miles in 5 hours. He returns to A in 4 hours. Find his average speed?
A.52.2mph
B.61.9mph
C.44.4mph
D.35.7mph
Answer: C.44.4mph
Explanation: Speed from A to B = 200/5 = 40 mph
Speed from B to A = 200/4 = 50 mph
Average speed = 2*40*50 / 90 = 44.4mph
Answer is C
Question: Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L
A.1/3.
B.1/2.
C.3.
D.2.
Answer: C.3.
Explanation: Difference = Average
H - L = (H + L)/2,
Solving for H/L gives 3. A quick check, H be 9 and L be 3, 9 - 3 = (9 + 3 )/2
C
Question: The function f is defined for all the positive integers h by the following rule: f(h) is the number of positive integers each of which is less than h and has no positive factor in common with h other than 1 . if p is a prime number then f(p)?
A.p-1
B.p-2
C.(p+1)/2
D.(p-1)/2
Answer: A.p-1
Explanation: The moment you put a prime number in the function f(h), notice that all the numbers lesser than h have no divisor clashing with divisor of h since h is prime!!.
For instance f(7)= {6, 5, 4, 3, 2, 1}
Thus for f(p) number of integers falling under this set will be p-1
Answer :- A
Question: In 24 minutes, the hour hand of a clock moves through an angle of:
A.60°
B.24°
C.12°
D.5°
Answer: C.12°
Explanation: 12 hour = 360˚, 1 hr. = 360/12 = 30˚ 60 min = 30˚, 1 min 30/60 = .5˚ 24 min. = 1/2 ×24 = 12˚
Answer: C
Question: A copying machine "P" can copy 135 pages in 9 minutes, P and Q together can copy 300 pages in 12 minutes. In what time Q can copy 80 pages?
A.6 minute
B.7 minute
C.9 minute
D.8 minute
Answer: D.8 minute
Explanation: P copying 135 pages in 9 minutes.
so in 1 minute P copying=135/9=15 pages
P and Q both copying 300 pages in 12 minute.
so in 12 minute P coying the 12*15=180 pages.
so Q copying alone=300-180=120 pages.
according to question Q takes 12 minute for copying the pages.
so for 1 minute 120/12=10 pages.
because for 10 pages takes 1 minute
so 80 pages it's takes 8 minute
so ans is 8 minute.
ANSWER:D
Question: A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:
A.1:2
B.2:5
C.6"2
D.3:1
Answer: D.3:1
Explanation: Explanation:
Let speed upstream=x
hen, speed downstream =2x
Speed in still water =2x+x/2
Speed of the stream=2x-x/2
Speed in still water : Speed of the stream=3x/2:x/2=3:1
Answer:D
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
A.39
B.27
C.30
D.98
Answer: C.30
Explanation: US = 25
DS = 35
M = (35 + 25)/2 = 30
Answer: C
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
A.7!
B.8!
C.9!
D.11!
Answer: B.8!
Explanation: Ans.(B)
Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Question: If x^2 > x^7> x^5, which of the following could be the value of x?
A.-9
B.-2
C.-5/8
D.5
Answer: C.-5/8
Explanation: x^2 > x^7 > x^5
1)Here we have an even power of a variable (x) that is greater than both a larger odd power of the variable x and a smaller odd power of the variable x.
This can be possible only if the base is negative; therefore, the variable, x, must be a negative number.
2) Now if the variable x is negative, the higher power results in a smaller number if x<-1, and a higher power results in a larger number if 0>x>-1.
With this information, we know that x is a negative number between 0 and -1; therefore, C (-5/8) is the only option.
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
A.28%
B.30%
C.32%
D.34%
Answer: A.28%
Explanation: Let x be Mork's income, then Mindy's income is 4x.
The total tax paid is 0.4x + 1.0x = 1.4x
1.4x / 5x = 0.28
The answer is A.
Question: In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 37 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
A.36
B.2^4*3
C.24
D.38
Answer: A.36
Explanation: Working backward from the day it's covered:
day 37: fully covered
day 36: half covered
So 36 days
ANSWER:A
Question: There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of sections A is 40 kg and that of sections b is 35 kg. Find the average weight of the whole class
A.36.25
B.37.25
C.38.35
D.39.25
Answer: B.37.25
Explanation: Solution
Total weight of(36+44)Students	= (36x40+44x35)Kg
= 2980 kg.
Average weight of the whole class	= (2980 / 80)
= 37.25.
Answer B
Question: Few years ago on 31st January on her 26th birthday a lady laid a baby. Now what's the sum of their ages?
A.37
B.38
C.43
D.51
Answer: B.38
Explanation: All other options have thier unit place digit odd while we require even digit because before x years she laid a baby. That time she is 26years old
so now sum of thier ages is 26 + 2x. The total should be even number
ANSWER:B
Question: 5,9,16,28,48,__
A.79
B.80
C.81
D.82
Answer: C.81
Explanation: (9+5) +2 = 16
(16+9) +3 = 28
(28+16)+4 = 48
(48+28)+5 = 81
ANSWER:C
Question: Vikas bought a grinder with 15% discount on the labelled price. He sold the grinder for Rs.2880 with 20% profit on the labelled price. At what price did he buy the grinder?
A.Rs 2000
B.Rs 2040
C.Rs 2240
D.Rs 2400
Answer: B.Rs 2040
Explanation: Explanation :
Let the labelled price be Rs.x. Then, 120% of x = 2880
Therefore x=(2880100/120) = 2400.
C.P = 85% of Rs.2400 = Rs(85/100x2400) =Rs.2040.
Answer : B
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
A.11 1/8%
B.11 8/9%
C.11 1/9%
D.19 1/9%
Answer: C.11 1/9%
Explanation: 900 --- 100
100 --- ? => 11 1/9%
Answer: C
Question: It took Malcom 3.5 hours to drive from city A to city B. On his way back to city A, he increased his speed by 20 km per hour and it took him 3 hours.
Find the average speed for the whole journey.
A.134.9 km/hr
B.129.2 km/hr
C.119.6 km/hr
D.140.5 km/hr
Answer: B.129.2 km/hr
Explanation: Let x and x + 20 be the speeds of the car from A to B and then from B to A. Hence the distance from A to B may expressed as 3.5 x and the distance from B to A as 3(x + 20)
The average speed = total distance / total time = (3.5 x + 3 (x + 20)) / (3.5 + 3)
The distance from A to B is equal to the distance from B to A, hence: 3.5 x = 3(x + 20). Solve for x to obtain x = 120 km/hr.
We now substitute x by 120 in the formula for the average speed to obtain.
average speed = 129.2 km/hr
correct answer B)129.2 km/hr
Question: if (64)2 - (36)2 = 10x, then x = ?
A.200
B.220
C.210
D.280
Answer: D.280
Explanation: Explanation :
a2−b2=(a−b)(a+b)
(64)2 - (36)2 = (64 - 36)(64 + 36) = 28 × 100
Given that (64)2 - (36)2 = 10x
=> 28 × 100 = 10x
=> x = 280. Answer : Option D
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 8 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
A.17:7
B.18:8
C.19:9
D.19:5
Answer: A.17:7
Explanation: Quantity of alcohol in vessel P = 62.5/100 * 8 = 5 litres
Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres
Quantity of alcohol in the mixture formed = 5 + 7/2 = 17/2 = 8.5 litres
As 12 litres of mixture is formed, ratio of alcohol and water in the mixture formed = 8.5 : 3.5 = 17 : 7.
Answer:A
Question: The difference between simple and compound interest on Rs. 1300 for one year at 10% per annum reckoned half-yearly is?
A.8.0
B.3.25
C.9.15
D.3.13
Answer: B.3.25
Explanation: S.I. = (1300 * 10 * 1)/100 = Rs. 130
C.I. = [1300 * (1 + 5/100)2 - 1300]
= Rs. 133.25 Difference = (133.25 - 130)
= Rs.3.25
Answer:B
Question: If the ratio of the roots of the equation x2+3px-6=0 is equal to that of the roots x2+6rx-12=0, then:
A.5r=3p
B.2p=r
C.r=p
D.2r=p
Answer: C.r=p
Explanation: x2+3px-6=0 for this eqn... roots are R1=-3p R2=6
x2+6rx-12=0 for this eqn... roots are R3=-6r R4=12
As per Question, -3p/6=-6r/12
=> r=p
ANSWER:C
Question: A car averages 45 mph for the first 4 hours of a trip and averages 75 mph for each additional hour. The average speed for the entire trip was 65 mph. How many hours long is the trip?
A.12
B.11
C.10
D.9
Answer: A.12
Explanation: Let the time for which car averages 75 mph = t
65*(t+4)= 45*4 + 75 t
=>10 t= 80
=> t = 8
Total duration of the trip = 8+4=12
Answer A
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
A.10
B.16
C.13
D.18
Answer: C.13
Explanation: C
13
Let the required number of days be x.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
Persons 30 : 39 :: 12 : x
Working hours/day 6 : 5
30 x 6 x x = 39 x 5 x 12
x = (39 x 5 x 12)/(30 x 6)
x = 13
Question: A reduction of 15% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
A.12
B.16
C.24
D.28
Answer: C.24
Explanation: 800*(15/100) = 120 ---- 5
? ---- 1 => Rs.24
Answer: C
Question: Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 20% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?
A.1 to 4
B.1 to 8
C.3 to 5
D.3 to 4
Answer: B.1 to 8
Explanation: Correct Answer: B
Solution: B. We know that when Pam and Stanley were both working, the ratio was 1 boxes by Pam to 4 boxes by Stanley. We also know that Stanley continued working after Pam stopped. He packed as many boxes alone as he had packed whlie working with Pam, effectively doubling his number of boxes. Thus, the ratio of Pam's boxes to Stanley's boxes is 1 to 8. Answer B is correct.
Question: A clothing manufacturer has determined that she can sell 100 suits a week at a selling price of Rs. 200 each. For each rise of Rs. 4 in the selling price she will sell 2 less suits a week. If she sells the suits for Rs. x each, how many rupees a week will she receive from the sales of the suits?
A.x2/2
B.200−x/2
C.50x - (x^2)/4)
D.150x - (x^2)/4)
Answer: B.200−x/2
Explanation: Explanatory Answer
Assume that she sells the suits at Rs.204; then she will sell two suits lesser or 98 suits.
Substitute x = 204 in each of the answer choices and check where the answer is 98.
For choice (2), the answer is 98 and this is the quickest way to find the answer.
Answer B
Question: Which of the following is equal to 1(1/6)%?
A.0.012/100
B.0.12/100
C.1.1/100
D.12/100
Answer: C.1.1/100
Explanation: This notation may be confusing for some, since it looks like we're multiplying 1 and 1/6
How about adding a space:Which of the following is equal to (1 1/6)%
(1 1/6)% = 1.1% = 1.1/100
Answer:
C
Question: A rectangular window is twice as long as it is wide. If its perimeter is 18 feet, then what are its dimensions in feet?
A.3/2 by 7/2
B.5/3 by 10/3
C.2 by 4
D.3 by 6
Answer: D.3 by 6
Explanation: Let x be the width of the window. Then the length is 2x.
x+2x+x+2x = 18
6x = 18
x = 18/6 = 3
The width is 3 and the length is 6.
The answer is D.
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
A.338
B.125
C.726
D.268
Answer: B.125
Explanation: D = 90 * 5/18 * 5
= 125 m
Answer:B
Question: The salaries of A and B together amount to $500. A spends 90% of his salary and B, 80% of his. If now, their savings are the same, what is A's salary?
A.$50
B.$150
C.$69
D.$34
Answer: D.$34
Explanation: Let A's salary is x
B's salary = 500-x
(100-90)% of x = (100-80)% of (500-x)
x = $34 (approximately)
Answer is D
Question: A gardener changed the size of his rectangle shaped garden by increasing it's length by 40% & decreasing is's width by 20%.Find area of new garden.
A.1.04
B.1.12
C.1.24
D.1.4
Answer: B.1.12
Explanation: A1= l*b
A2= (l*140/100)*(b*80/100)=1.12*lb
so, area of garden is by 1.12 times of old area.
ANSWER:B
Question: d, q, and r are positive integers. If d, q, and r are assembled into the six-digit number dqrdqr, which one of the following must be a factor of dqrdqr?
A. 23
B. 19
C. 17
D. 7
Answer: D. 7
Explanation: One short way -
dqrdqr = 1000dqr + dqr = (1000+1)dqr = 1001dqr
Therefore any factor of 1001 is a factor of dqrdqr
7 is a factor of 1001
So D
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $288 per week. How much does she earn in dollars per hour?
A.11
B.10
C.9
D.8
Answer: D.8
Explanation: Let Sheila earn x dollars per hour
So, on Monday, Wednesday and Friday , she earns 8x each
And, on Tuesday and Thursday, she earns 6x each
In total , over the week she should earn, 3(8x) + 2(6x) = 36x
She earns $288 per week
36x =288
x =8
Correct Option : D
Question: ♠n denotes the number obtained when n is rounded to the nearest tenth. For example ♠4.31 = 4.3
♠3.32 - ♠2.42 =
A.1.05
B.0.9
C.-1.05
D.-1.0
Answer: B.0.9
Explanation: ♠3.32 - ♠2.42 =
3.3 - 2.4 = 0.9
Answer : B
Question: David received Rs.6000 as his share out of the total profit of Rs.9000 which he and Dave earned at the end of 1 years. If David invested Rs.120000 for 6 months, whereas Dave invested his amount for the whole yr, what was the amount invested by Dave?
A.28000
B.30000
C.34000
D.35000
Answer: B.30000
Explanation: Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 120000 * 6 : x *12.
720000/12x: 6000/3000
x = 30000
(B)
Question: In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit "5"?
A.180
B.196
C.286
D.288
Answer: D.288
Explanation: let say number= XYZ
Z= units digit
Y= tenths digit
X= Hundredth's digit
For any 3 digit number to be odd, Unit digit must be odd
So Z can be filled with 1,3,7,9 (we are excluding digit 5) = 4 ways.
Y can be filled with 0,1,2,3,4,6,7,8,9 (we are excluding digit 5) = 9 ways
X can be filled with 1,2,3,4,6,7,8,9 (we are excluding digits 0 and 5..) = 8 ways
No of ways= 4*9*8= 288
Answer : D
Question: A car gets 33 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 16 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
A.168
B.172
C.176
D.180
Answer: C.176
Explanation: Originally, the distance the car could go on a full tank was 16*33=528 miles.
After it has been modified, the car can go 33/0.75=44 miles per gallon.
On a full tank, the car can go 16*44= 704 miles, thus 176 miles more.
The answer is C.
Question: A train 275 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A.15
B.6
C.7
D.8
Answer: A.15
Explanation: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
[66 * 5/18] m/sec = [55/3] m/sec.
Time taken to pass the man = [275 * 3/55] sec = 15 sec
Answer: A
Question: In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 27th in an arithmetic progression if the sum of the 12th and 16th terms of the sequence is 98?
A.47
B.49
C.51
D.53
Answer: B.49
Explanation: Let x be the difference between any two consecutive terms.
The mean of a sequence like this is the middle term, thus the 14th term in the sequence.
Then the mean of the 13th and 15th term is also equal to the overall mean, because the 13th term is (14th term - x) and the 15th term is (14th term + x).
Similarly the mean of the 12th and 16th term is also equal to the mean.
etc...
Thus the mean is 98/2 = 49
The answer is B.
Question: In 120 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
A.24 m
B.25 m
C.22.5 m
D.9 m
Answer: A.24 m
Explanation: Distance covered by B in 9 sec. =	120/45 x 9	m = 24 m.
A beats B by 24 metres.
Answer: Option A
Question: If x = -7/8 and y = -1/2, what is the value of the expression -2x – y^2?
A.-3/2
B.-1
C.1
D.3/2
Answer: D.3/2
Explanation: -2X- y^2
-2x-7/8 - (1/2)^2
7/4-1/4
3/2
D correct
Question: The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 8 cm each. The radius of the sphere is
A.3 cm
B.4 cm
C.6 cm
D.8 cm
Answer: B.4 cm
Explanation: Solution
4Î R2	= 2Î 4x8
â‡’ R2 = (4x8/2)
â‡’ 16
â‡’ R = 4 cm.
Answer B
Question: There were P people in a room when a meeting started. Q people left the room during the first hour, while R people entered the room during the same time. What expression gives the number of people in the room after the first hour as a percentage of the number of people in the room who have been there since the meeting started?
A.(P−Q)/(P−Q+R)
B.100 x (P−Q+R)/(P−Q)
C.(P+R)/(P−Q)
D.100 x (P−Q)/(P−Q+R)
Answer: B.100 x (P−Q+R)/(P−Q)
Explanation: Explanatory Answers
The meeting started with P people. Q left the room during the first hour.
So, (P - Q) people have been in the room since the meeting started.
This expression is obviously the denominator of the expression.
To start with there were P people, Q of whom left the room and another R joined the group.
So, the number of people in the room after the first hour = P - Q + R.
This expression is the numerator of the expression.
Required expression = 100 x (P - Q + R)/(P - Q)
Answer B
Question: A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?
A.$1.10
B.$8.80
C.$11.00
D.$57.30
Answer: D.$57.30
Explanation: Let price be $ 10
The store owner decided to raise the price of a particular item by exactly 10%, so the new price must be 110 *10 /100 =>11
So, The new price must be a multiple of 11
From the given options check for all the multiples of 11
Test of divisibility of 11 is
if the difference of the sum of digits at odd places and the sum of its digits at even places, is either 0 or divisible by 11, then clearly the number is divisible by 11.
A. $1.10
B. $8.80
C. $11.00
By a quick glance even a 2nd grader can eliminate options A,B and C , because they are all divisible by 11 , let with only 2 options check for the divisibility rule for options D and E
D. $57.30
Sum of even digits is 5+3 = 8
Sum of odd digits is 7 +0 = 7
Difference of the even and odd digits is 8 - 7 = 1 ; not divisible by 11
Hence this is our answer.
E. $78.10
Further inspection is not required since we have already found out the answer at (D)
Question: How many number of 3's would be used to type numbers from 1 to 700
A.230
B.240
C.250
D.260
Answer: B.240
Explanation: 1-99--20 (3,13,23,30,31,32,33,34,35,36,37,38,39,43,53,63,73,83,93)
likewise
100-199--20
200-299--20
300-399--120 (300-399 there is extra 100 3's)
400--499--20
500--599--20
600-700--20
20+20+20+120+20+20+20=240
ANSWER:B
Question: The average (arithmetic mean) of eight numbers is 49.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
A.12.8
B.24.2
C.58.6
D.72.1
Answer: C.58.6
Explanation: arithmetic mean = sum / total numbers
sum = 49.1 * 8 = 392.8
sum of half of these numbers is 158.4. So, 4 numbers sum is 158.4. Rest 4 numbers sum = 392.8-158.4 = 234.4
Arithmetic mean of the 4 nos = 234.4/4 = 58.6
Hence, C is the answer.
Question: A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is
A.0
B.1
C.2
D.3
Answer: D.3
Explanation: Sol.
Let x = 6q + 3.
Then x2 = (6q + 3)2
= 36q2 + 36q + 9 = 6(6q2 + 6q + 1) + 3.
So, when x2 is divided by 6, remainder = 3.
Answer D
Question: Find the odd man out
5,15,45,60,90,180
A.60
B.180
C.90
D.5
Answer: A.60
Explanation: 5*3= 15
15*3 =45
45*2=90
90*2=180
180*2=360
ANSWER:A
Question: Sonika deposited Rs.7000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
A.9680
B.2277
C.9620
D.2774
Answer: C.9620
Explanation: (7000*3*2)/100 = 420
9200
--------
9620
Answer:C
Question: An error 2%in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
A.4.04 %
B.2.02 %
C.4 %
D.2 %
Answer: A.4.04 %
Explanation: Explanation:
Error =2% while measuring the side of a square.
Let correct value of the side of the square =100
Then, measured value =100+2=102 (∵ 2 is 2%of 100)
Correct area of the square =100×100=10000
Calculated area of the square =102×102=10404
Error =10404−10000=404
Percentage error =error /actual value×100
=404/10000×100=4.04%
Answer: Option A