RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The area of a rectangular plot is 24 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth?
A.14 metres
B.5 metres
C.7.5 metres
D.Data inadequate
Answer: A.14 metres
Explanation: L × B = 24 × B
∴ L = 24 m
and L – B = 10
∴ B = 24 – 10 = 14 m
Answer A
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
A.50
B.49
C.87
D.76
Answer: A.50
Explanation: A+B+C = 500
A+C = 200
B+C = 350
--------------
A+B+2C = 550
A+B+C = 500
----------------
C = 50
Answer:A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.388
B.378
C.240
D.388
Answer: C.240
Explanation: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 36 = 15
x + 300 = 540
x = 240 m.
Answer: C
Question: The average age of applicants for a new job is 32, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
A.8
B.77
C.7
D.18
Answer: C.7
Explanation: Minimum age = Average - 1 Standard deviation = 32 - 8 = 24
Maximum age = average + 1 Standard deviation = 32+ 8 = 40
Maximum number of different ages of the applicants = 30 - 24 + 1 = 7
Answer C
Question: Peter has $642,986 in his savings account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among his nine children?
A.$642,986
B.$642,987
C.$642,988
D.$642,989
Answer: B.$642,987
Explanation: To find the least amount the man should add to his saving account to split the money evenly among his 9 children, he needs to make the total divisible by 9
Simply add the individual digits of the total = 6+4+2+9+8+6= 35
If you add 1 , the number is divisible by 9 (35+ 1)
Correct Option : B
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 12 inches by 15 inches and Jordan's rectangle is 6 inches long, how wide is Jordan's rectangle, in inches?
A.24
B.26
C.28
D.30
Answer: D.30
Explanation: Area of first rectangle is 12*15=180 hence area of second would be 6x=180x
x=30
answer is D
Question: The ratio of two natural numbers is 5:6. If a certain number is added to both the numbers, the ratio becomes 7:8. If the larger number exceeds the smaller number by 10, find the number added?
A.27
B.298
C.20
D.28
Answer: C.20
Explanation: Let the two numbers be 5x and 6x.
Let the number added to both so that their ratio becomes 7:8 be k.
(5x + k)/(6x + k) = 7/8
42x = 7k => k = 2x.
6x - 5x = 10 => x = 10
k = 2x = 20.
Answer: C
Question: What is the area of square field whose side of length 15 m?
A.225
B.2878
C.277
D.266
Answer: A.225
Explanation: 15 * 15
= 225 sq m
Answer: A
Question: The average age of the mother and her six children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
A.40 years
B.42 years
C.50 years
D.52 years
Answer: B.42 years
Explanation: Solution
Age of the mother	= (12 x 7 - 7 x 6)
= 42 years.
Answer B
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
A.300km/hour
B.360 km/hour
C.600km/hour
D.720km/hour
Answer: D.720km/hour
Explanation: Distance=(240*5)km=1200km.
Required speed=(1200*3/5)km/hr=720kilometer/hour.
Correct Option: D
Question: Carina has 85 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?
A.5
B.6
C.7
D.8
Answer: A.5
Explanation: Lets say 5 and 10 ounce packages be x and y respectively.
Given that, 5x+10y=85 and x=y+2. What is the value of y.
Substituting the x in first equation, 5y+10+10y=85 ->y=75/15.=5
A
Question: Sundar invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income
A.600
B.648
C.500
D.700
Answer: B.648
Explanation: no of shares = 4455/8.25 = 540
face value = 540*10 = 5400
income = 12/100 * 5400 = 648
ANSWER B
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 W of the ratio A/B?
A.1/2
B.1/3
C.2/3
D.1/4
Answer: A.1/2
Explanation: W-> A/B=20*21*……*39/21*22*….*39*40=20/40=1/2.
Therefore, the answer is A.
Question: In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: Explanation:
Let d and s represent the number of daughters and sons respectively.
Then, we have :
d - 1 = s and 2 (s - 1) = d.
Solving these two equations, we get: d = 4, s = 3.
Answer: B
Question: A and B together have $ 1210. If of A's amount is equal to of B's amount, how much amount does B have?
A.400
B.489
C.484
D.365
Answer: C.484
Explanation: 4	A	=	2	B
15 5
A = 2	x	15 B
5 4
A =	3	B
2
A	=	3
B 2
A : B = 3 : 2.
B's share = Rs. 1210 x	2 = $ 484.
ANSWER C
Question: The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is
A.4
B.6
C.8
D.12
Answer: A.4
Explanation: Explanation:
Let the required numbers be 33a and 33b.
Then 33a +33b= 528 inline fn_jvn Rightarrow a+b = 16.
Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9).
inline fn_jvn therefore Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)
The number of such pairs is 4. Answer: A
Question: A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 25 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
A.40
B.45
C.108
D.55
Answer: C.108
Explanation: A- B = 120 Miles
B - C = 60 Miles
Avg Speed = 25 Miles
Time taken for A-B 3t and B-C be t
avg speed = (120+60) / Total time
25 = 180/4t
t = 108
B-C = 108mph
Answer C
Question: B completes a work in 8 days. A alone can do it in 10 days. If both work together, the work can be completed in how many days?
A.3.75 days
B.4.44 days
C.5 days
D.6.44 days
Answer: B.4.44 days
Explanation: 1/8 + 1/10 = 9/40
40/9 = 4.44 days
ANSWER:B
Question: January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?
A.monday
B.Tuesday
C.sunday
D.friday
Answer: B.Tuesday
Explanation: The year 2007 is an ordinary year. So, it has 1 odd day.
1st day of the year 2007 was Monday.
1st day of the year 2008 will be 1 day beyond Monday.
Hence, it will be Tuesday.
Answer:B) Tuesday
Question: The height of a triangle is decreased by 5% and its base increased by 10%. Its area will
A.decrease by 12.5%
B.increase by 12.5%
C.increase by 4.5%
D.Increase by 25%
Answer: C.increase by 4.5%
Explanation: Explanation :
Let the initial height be 100 and the base be 200 units.
âˆ´ Area = 1/2 x 100 x 200 = 10000sq units
Now, height = 95 units and base = 220 units
âˆ´ New area = 1/2 x 95 x 220= 10450
âˆ´ Area is increased by (10450 - 10000)/10000 x 10
= 4.5%
Answer : Option C
Question: The sum of ages of 4 children born 2 years different each is 40 yrs. What is the age of the Elder child?
A.13
B.9
C.16
D.17
Answer: A.13
Explanation: Let the ages of children be x, (x + 2), (x + 4), (x + 6) years.
Then, x + (x + 2) + (x + 4) + (x + 6) = 40
4x+12 = 40 => 4x= 28
x = 7
x+6= 7+6= 13
Answer : A
Question: A city in the US has a basketball league with three basketball teams, the Aziecs, the Braves and the Celtics. A sports writer notices that the tallest player of the Aziecs is shorter than the shortest player of the Braves. The shortest of the Celtics is shorter than the shortest of the Aziecs, while the tallest of the Braves is shorter than the tallest of the Celtics. The tallest of the Braves is taller than the tallest of the Aziecs.
Which of the following can be judged with certainty ?
A.X,U only
B.X only
C.Y only
D.8 onlY
Answer: C.Y only
Explanation: Ans: B
Sol: We solve this problem by taking numbers. Let the shortest of Braves is 4 feet. Then tallest of Aziecs is less than 4. So let it be 3 feet.
A -> 2 - 3
B -> 4 - 6
C -> 1 - 7
From the above we can safely conclude X is correct. but Y cannot be determined.
Answer:C
Question: If the wheel is 42 cm then the number of revolutions to cover a distance of 1056 cm is?
A.18
B.4
C.6
D.8
Answer: B.4
Explanation: 2 * 22/7 * 42 * x = 1056
=> x = 4
Answer: B
Question: The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is :
A.Rs. 1325
B.Rs. 1300
C.Rs. 1350
D.Rs. 1500
Answer: A.Rs. 1325
Explanation: Solution
Required sum = P.W. of Rs.702 due 6 months hence + P.W. of Rs. 702 due 1 year hence
= Rs. [( 100x 702/100 + 8 x1/2 ) + ( 100x 702/100 + 8x 1) ] = Rs. (675 + 650) = Rs. 1325.
Answer A
Question: Solution X is 20% chemical A and 80% chemical B by volume; Solution Y is 30% chemical A and 70% chemical B. If a mixture of X and Y is 22% chemical A, what percent of the mixture is Solution X?
A.20%
B.44%
C.50%
D.80%
Answer: D.80%
Explanation: 22% of chemical A in X+Y grams of solution comes from 20% chemical A in solution X and 30% chemical A in solution Y, thus:
0.22(X + Y) = 0.2X + 0.3Y --> X = 4Y --> X/(X+Y)=4/5=0.8.
Answer: D.
Question: If a : b = 2 : 3 and b : c = 5 : 7, then find a : b : c.
A.10 : 15 : 27
B.10 : 15 : 21
C.10 : 15 : 22
D.10 : 15 : 12
Answer: A.10 : 15 : 27
Explanation: a : b : c = (2 x 5) : ( 3 x 5) : (3 x 7) = (10) : (15) : (21)
Answer:	A
Question: Jaydeep purchased 25 kg of rice at the rate of 16.50 per kg and 35 kg of rice at the rate of 24.50 per kg. He mixed the two and sold the mixture. Approximately, at what price per kg did he sell the mixture to make 25 per cent profit?
A.26.5
B.27.5
C.28.5
D.30.0
Answer: A.26.5
Explanation: CP = 25 × 16.50 + 35 × 24.50 = 1270
SP = 1270 × 125⁄100 = 1587.50
Price per kg = 1587.50⁄60 ≈ 26.50
Answer A
Question: Jim takes a seconds to swim t meters at a constant rate from point M to point N in a pool. Roger, who is faster than Jim, can swim the same distance in b seconds at a constant rate. If Jim leaves point M the same time that Roger leaves point N, how many fewer meters will Jim have swum than Roger when the two swimmers pass each other?
A.c(b-a)/ a+b
B.c(a-b)/a+b
C.c(a+b)/a-b
D.t(a-b)/a+b
Answer: D.t(a-b)/a+b
Explanation: Both JimRoger are travelling at constant speedin opposite direction:
So, speed of Jim =t /a speed of Roger = t/b
Let say Jim travelled distance x from M where it met Roger, it means that Roger travelled (t-x) from point N
[x would be less than (t-x) as Jim is travelling slow]
From above, time taken by Jim to travel x = xa/t....................... (1)
Also, time taken by Roger to travel (t-x) = (t-x)b/t.....................(2)
Time taken by both JimRoger is same, so (1) = (2)
xa/t = (t-x)b/t,
Solving further, x = bt/(a+b).................... (3)
We require to find how many fewer meters will Jim have swum i.e
additional distance travelled by Roger = (t - x) - x
= t-2x
Substituting value of x from (3)solving the equation further, we get Answer = t(a-b)/a+b
Answer = (D)
Question: A committee of 5 is to be selected from among 4 boys and 6 girls. I how many ways can this be done if the committee is to consist of at-least one Girl?
what is the answer choice and how?
A.105
B.194
C.230
D.350
Answer: B.194
Explanation: I'm sure there is some problem with the question.
R U sure its atleast one boy and not atleast 1 boy and 1 girl?
if its 1 boy and 1 girl
6C1*4C3 + 6C2*4C2 + 6C3*4C1
6*4 + 15*6 + 20*4
24 + 90 + 80
194
B
Question: If a+5/b is a prime integer, which of the following must be true?
1.b=5a
2. b is a prime integer
3. a+5/b is ODD.
A.None
B.1 only
C.2 only
D.1 and 2 only
Answer: A.None
Explanation: I would pick up numbers and do .
i hope the question is (a+5)/b....
let a = 3 , b = 4
3+5/4 = 2 = Prime
1. b is not equal to 5a
2.b is not a prime number
3. (a+5)/b is not odd.
hence A
Question: A car covers a distance of 624 km in 2 2/5 hours. Find its speed?
A.104 kmph
B.194 kmph
C.109 kmph
D.260 kmph
Answer: D.260 kmph
Explanation: 624/2 2/5
=260 kmph
Answer:D
Question: A man traveled a total distance of 900 km. He traveled one-third of the whole trip by plane and the distance traveled by train is two-thirds of the distance traveled by bus. If he traveled by train, plane and bus, how many kilometers did he travel by bus?
A.240
B.280
C.320
D.360
Answer: D.360
Explanation: total distance traveled = 900 km.
distance traveled by plane = 300 km.
distance traveled by bus = x
distance traveled by train = 2x/3
x + 2x/3 + 300 = 900
5x/3 = 600
x = 360 km
The answer is D.
Question: The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?
A.4
B.8
C.10
D.9
Answer: B.8
Explanation: Since the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit.
Let ten's and unit's digits be 2x and x respectively.
Then, (10 x 2x + x) - (10x + 2x) = 36
9x = 36
x = 4.
Required difference = (2x + x) - (2x - x) = 2x = 8.
Answer:B
Question: If w is divisible by 10 and 4, w must be a multiple of which of the following?
A.8
B.12
C.20
D.24
Answer: C.20
Explanation: If w is divisible by 2*2 and 2*5, then w is divisible by 2*2*5 = 20.
The answer is C.
Question: If r and s are positive integers and r-s=6, which of the following has the greatest value V?
A.2r
B.2s
C.r +s
D.2r-s
Answer: A.2r
Explanation: You can answer this question by using Number Properties and logic or by TESTing VALUES.
We're told that R and S are POSITIVE INTEGERS and that R-S = 6. We're asked which of the 5 answers has the GREATEST value.
IF....
R = 8
S = 2
Answer A: 2R = 2(8) = 16
Answer B: 2S = 2(2) = 4
Answer C: R+S = 8+2 = 10
Answer D: 2R-S = 2(8) - 2 = 14
Answer E: 2S-R = 2(2) - 8 = -4
Final Answer:
A
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
A.3888
B.26989
C.26700
D.28800
Answer: D.28800
Explanation: Simple interest = (18000 * 4 * 15)/100 = Rs. 10800
Amount = P + I = 18000 + 10800 = Rs. 28800
Answer: D
Question: What is the probability of getting exactly 4 heads in a single throw of five fair coins?
A.1/4
B.3/8
C.3/16
D.5/32
Answer: D.5/32
Explanation: One possible case is HHHHT.
P(HHHHT) = 1/2*1/2*1/2*1/2*1/2 = 1/32
There are 5C4 = 5 possible cases.
P(4 heads) = 5*1/32 = 5/32
The answer is D.
Question: Carmelo and LeBron participate in a four-person footrace on the basketball court during All-Star Weekend. If all four contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
A.5040
B.2520
C.720
D.12
Answer: D.12
Explanation: 4! = 24
24/2=12half the time carmelo is in front, vice versa
Answer:
(D) 12
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 3 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A.360
B.487
C.481
D.729
Answer: A.360
Explanation: 1/x - 1/20 = -1/24
x = 120
120 * 3 = 360
Answer:A
Question: A parking garage rents parking spaces for $10 per week or $24 per month. How much does a person save in a year by renting by the month rather than by the week?
A. $140
B. $160
C. $220
D. $232
Answer: D. $232
Explanation: 10$ per week!
An year has 52 weeks.
Annual charges per year = 52* 10 = 520$
30$ per month!
An year has 12 months.
Annual charges per year = 12 * 24= 288$
520 - 288 = 232
Ans D
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A.150m
B.120m
C.186m
D.167m
Answer: A.150m
Explanation: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: A
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 2 m high?
A.7
B.12.8
C.11
D.13
Answer: B.12.8
Explanation: Explanation:
d2 = 122 + 42 + 22 = 12.8
B)
Question: How many three letter words are formed using the letters of the word TIME?
A.20
B.55
C.76
D.24
Answer: D.24
Explanation: The number of letters in the given word is four.
The number of three letter words that can be formed using these four letters is ⁴P₃
= 4 * 3 * 2 = 24.
Answer: D
Question: A car travels first 160 km at 75 km/hr and the next 160 km at 70 km/hr. What is the average speed for the first 320 km of the tour?
A.71.11
B.71.12
C.72.4
D.71.17
Answer: C.72.4
Explanation: Car travels first 160 km at 75 km/hr
Time taken to travel first 160 km = distancespeed=160/75
Car travels next160 km at 70 km/hr
Time taken to travel next 160 km = distancespeed=160/70
Total distance traveled = 160+160=2×160
Total time taken = 160/75+160/70
Average speed = Total distance traveled/Total time taken=320/(160/75+160/70)=72.4 km/hr
Answer:C
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is?
A.8 days
B.12 days
C.14 days
D.16 days
Answer: A.8 days
Explanation: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 10 × 40/50 = 8 days
A)
Question: raghu, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 2 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
A.4/9
B.1/6
C.1/3
D.7/18
Answer: A.4/9
Explanation: Let's use smart numbers here -->Work=18
Rate * Time = Work
Tom: 3 x 6 = 18
Peter: 6 x 3 = 18
John: 9 x 2 = 18
Before John joined Tom and Peter: Tom worked 2 Hours -> 2*3=6 and Peter 1*6=6 gives us 12. So we are left with 18-12=6 for all three of them --> (3+6+9)*t=6, thus t=1/3 this means that Peter worked 2+1/3 Hours = 6+2=8 --> 8/18=4/9
At least this approach helps me... Don't like dealind with fractions when you're tired.
Answer:a
Question: Divide $ 1162 among A, B, C in the ratio 35 : 28 : 20.
A.490,490,490
B.360,392,460
C.490,382,280
D.260,160,60
Answer: C.490,382,280
Explanation: Sum of ratio terms = (35 + 28 + 20) = 83.
A's share = $ (1162 x (35/83))= $ 490; B's share = $ (1162 x(28/83))= $. 392;
C's share = $ (1162 x (20/83))= $ 280.
Option C
Question: What is the measure of the radius of the circle inscribed in a triangle whose sides measure 4, 11 and 12 units?
A.1.6 units
B.6 units
C.3 units
D.5 units
Answer: A.1.6 units
Explanation: Sides are 4, 11 and 12...thus it is right angle triangle Since 12^2 = 4^2 + 11^2
therefore, area = 1/2 * 11 * 4 = 22
We have to find in-radius
Therefore, area of triangle = S*r ....where S=semi-perimeter and r= in-radius
Now S=semi-perimeter = 12+11+4 /2 =13,5
Thus , 22 =13,5*r
and hence r=in-radius= 1.6
Option A
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
A.8%
B.15%
C.45%
D.52%
Answer: B.15%
Explanation: First ratio= 3/20=15%
second ratio = (3+12)/(9+108)=15/117= 12,8%
decrease = 2,2%
2,2%/15%=15% approximately.
ANSWER:B
Question: Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
A.100
B.110
C.120
D.125
Answer: C.120
Explanation: 4x 5x 6x
100 50 25
400x + 350x + 150x = 16000
x = 20
6x = 120
ANSWER C
Question: Joe drives 600 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. What is his average speed for the entire trip in miles per hour?
A.42
B.55
C.50
D.54
Answer: B.55
Explanation: t1= 600/60=10 hours
t2=120/40=3 hours
T=t1+t2=13 hours
Avg speed = Total Distance/T
= 720/13 = 55mph=B
Question: Two pipes A and B can fill a cistern in 12 and 20 minutes respectively, and a third pipe C can empty it in 30 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
A.15 min
B.13 min
C.12 min
D.10 min
Answer: D.10 min
Explanation: 1/12 + 1/20 - 1/30
= 1/10
10/1 = 10
Answer:D
Question: What number should replace the question mark?
24, 30, ?, 60, 84, 114
A.45
B.44
C.48
D.42
Answer: D.42
Explanation: D
42
The sequence progresses +6, +12, +18, +24, +30.
Question: 4 pipes can fill a reservoir in 15, 20, 30 and 60 hrs the first was opened at 6 am and 2nd at 7 am and thirds at 8 am and 4th at 9 am when will the reservoir be full?
A.6 hrs
B.7 hrs
C.8 hrs
D.9 hrs
Answer: B.7 hrs
Explanation: Explanation:
let time be t hrs after 6 am
t/15 + (t-1)/30 + (t-2)/30 + (t-3)/60 =1
t = 7 hrs
Answer: Option B
Question: A man took loan from a bank at the rate of 8% p.a. simple interest. After 4 years he had to pay $250 interest only for the period. The principal amount borrowed by him was:
A.$881.25
B.$781.25
C.$761.35
D.$661.25
Answer: B.$781.25
Explanation: Principal(P) = ?
Time(T) = 4 years
Simple Interest(SI) = $250
R = 8%
P = 100×SI / RT=100×250 / 8×4 = $781.25
ANSWER:B
Question: A train is approaching a tunnel which is AB in length.Ther is a cat inside the tunnel which is 3/8 distance from the starting point of the tunnel.When the train whistes the cat starts to run.The train catches the cat exactly at the entry point of the tunnel.If the cat runs towards the exit,the train catches tha cat exactly at the exit point.The speed of the train is greater than the speed of the cat in what order?
A.1:4
B.4:1
C.1:3
D.3:1
Answer: B.4:1
Explanation: D / v1 = (3/8) x / v2 ... ( 1 )
( D + x ) / v1 = (5/8) x / v2
=> D / v1 = (5/8) x / v2 - x / v1 ... ( 2 )
From equns. ( 1 ) and ( 2 ),
(3/8) x /v2 = (5/8) x / v2 - x / v1
=> 3 / (8v2) = 5 (8v2) - 1/ v1
=> 1 / v1 = ( 5/8 - 3/8) / v2
=> 4v2 = v1
ANSWER:B
Question: If M and N are positive integers that have remainders of 2 and 3, respectively, when divided by 5, which of the following could NOT be a possible value of M+N?
A.80
B.52
C.35
D.25
Answer: B.52
Explanation: M=5p+2
N=5q+3
We need M+N=5p+2+5q+3=5(p+q)+5
Pick numbers for pq
Since it is an addition of pq and the answer to this expression should be an integer (because all the numbers being added are integers),
we just need to choose values so that we get integer multiples of 5 so
p+q=0 ; M+n = 5
p+q=1 ; M+N = 10
P+q=2 ; M+N = 15
and so on, so basically you get something like - 5,,10,15,20,25,30,..... all are multiples of 5 except 52
So Answer B.