RikoteMaster/aqua-rat-mcqa huggingface dataset:
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 days
B.28 days
C.34 days
D.35 days
Answer: A.24 days
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 :)]
x=36∗18 / 27
x=24
So 24 days will be required to get work done by 27 men.
Option A
Question: A polygon has 44 diagonals, then the number of its sides are
A.11
B.9
C.7
D.5
Answer: A.11
Explanation: Let the number of sides be n.
The number of diagonals is given by nC2 - n
Therefore, nC2 - n = 44, n>0
n(n - 1) / 2 - n = 44
n2 - 3n - 88 = 0
n2 -11n + 8n - 88 = 0
n(n - 11) + 8(n - 11) = 0
n = -8 or n = 11.
ANSWER:A
Question: In what time will a train 134 m long cross an electric pole, it its speed be 169 km/hr?
A.2.5
B.2.7
C.2.9
D.2.3
Answer: C.2.9
Explanation: Speed = 169 * 5/18 = 46.9 m/sec
Time taken = 134/46.9
= 2.9 sec.
Answer: C
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
A.1/211
B.2/213
C.1/216
D.2/223
Answer: C.1/216
Explanation: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64=6×6×6×6=64
n(S)=64n(S)=64
Let XX be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6n(X)=6
Hence required probability,
=n(X)n(S)=664=n(X)n(S)=664
=1/216
C
Question: If a man lost 4% by selling oranges at the rate of 36 a rupee at how many a rupee must he sell them to gain 44%?
A.1
B.8
C.9
D.24
Answer: D.24
Explanation: 96% ---- 36
144% ---- ?
96/144 * 36 = 24
Answer: D
Question: 4 out of 5 parts in the given question are exactly same. Which part is not equal to other parts.
(A) 256/2 + 3 = (B) 65.5*2 = (C) 240/4 + 70 =(D) 11 + 94 + 25 = (E) 7.5 +23.5 +89.3 + 10.7
A.U
B.H
C.C
D.GH
Answer: C.C
Explanation: Explanation:
(A) 256/2 + 3 = (B) 65.5*2 = (C) 240/4 + 70 =(D) 11 + 94 + 26 = (E) 7.5 +23.5 +89.3 + 10.7
(A) 131 = (B) 131 = (C) 130 = (D) 131 = (E) 131
ANSWER: C
Question: The length of 3 ropes are in the ratio 4 : 5 : 6. If the sum of the weights of the longest and the shortest rope is 100 metres more than the length of the third rope, what is the length of the shortest rope?
A.80m
B.180m
C.100m
D.60m
Answer: A.80m
Explanation: Let the lengths of the three ropes be 4k, 5k and 6k respectively.
4k + 6k = 5k + 100
=> 5k = 100 => k = 20
Therefore the weight of the lightest boy
= 4k = 4(20) = 80m
ANSWER:A
Question: A NEWSPAPER manufacturer produces 800 units of a certain model each month at a cost to the manufacturer of £50 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus production costs) on the sales of these units will be at least £80,000?
A.115
B.520
C.550
D.750
Answer: D.750
Explanation: 800(x-50)≥80,000
x-50≥800
x≥750
Answer: Option D
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A.11
B.10
C.76
D.16
Answer: B.10
Explanation: Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
45x = 135
x = 3.
So, they meet at 10 a.m.
Answer: B
Question: When 2 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?
A.32
B.81
C.60
D.27
Answer: C.60
Explanation: Explanation:
Let the number be
2 + 1/2[1/3(a/5)] = a/15
=> 2 = a/30 => a = 60
Answer:C
Question: Two trains leave the same train station at 6:00 am and 7:00 am and they travel at 100 kph and 125 kph respectively. How many kilometers from the train station will the two trains be together?
A.450
B.475
C.500
D.525
Answer: C.500
Explanation: At 7:00, the first train is 100 km ahead.
The second train gains 25 km each hour.
The time it takes the second train to catch the first train is 100 / 25 = 4 hours.
In this time, the second train travels 4*125=500 km.
The answer is C.
Question: A person, by selling an article at three-fourths of the list price incurs a loss of 20%. Find the profit percentage if he sells at the list price?
A.25 %
B.6.66 %
C.5.45 %
D.30 %
Answer: B.6.66 %
Explanation: Sol.
0.75 MP = 0.8 CP (since 20% loss) So, MP = 1.0666CP ⇒ 6.66% gain.
Answer B
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
A.19
B.20
C.22
D.45
Answer: A.19
Explanation: A
19
Average of 20 numbers = 0. Sum of 20 numbers (0 x 20) = 0. It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).
Question: The average age of a husband and his wife was 17 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :
A.55/3
B.15
C.19
D.287
Answer: B.15
Explanation: Explanation:
Sum of the present ages of husband, wife and child = (17 * 2 + 5 * 2) + 1 = 45 years.
Required average = (45/3)= 15years.
Answer: B
Question: The sum of three consecutive odd numbers is 20 more than the first of these numbers. What is the middle number?
A.5
B.7
C.9
D.11
Answer: C.9
Explanation: Solution
Let the numbers be x, x+2,x+4
Then x,(x+2)+(x+4)= x+20
‹=›2x = 14
‹=›x= 7.
Therefore Middle number = x+2 = 9.
Answer C
Question: Two cyclists are running on a circular track of 600m.They start from the same point A at the same time.If they meet for the first time at a point 200 m from A, which of the following could be the possible ratio of their speeds?
A.1:2
B.2:3
C.3:5
D.5:7
Answer: A.1:2
Explanation: well, the key aspect of this question is the distance mentioned, when they met for the first time, which is 200m away from the starting point. This distance between their first meeting can be less than 600 in only two circumstance.
1) if both are travelling in the same direction and one of them has been given a head start say by few meters.
2) or if both are travelling in the opposite direction.
now since they start their journey at the same time. hence option 1 is ruled out. hence they must be running in the opposite direction. hence answer should be 1:2
Why?? here is a solution
As here time is constant, therefore, distance traveled will be directly proportional to the the respective velocities/speed of the two runners.(d1/d2=v1/v2)
now one of them has covered 200m, therefore other must have covered 400m, therefore ratio of their speeds/velocities will be 1:2
A
Question: During the break of a football match, the coach will make 3 substitutions. If the team consists of 13 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?
A. 21/55
B. 18/44
C. 42/143
D. 28/44
Answer: C. 42/143
Explanation: Required probability = no. of favorable outcome/ total no. of outcomes
out of 13 players any 3 can be selected in 13C3 ways
after removing 2 forwards any 3 players can be selected from the remaining 9 players in 9C3 ways
thus required probability = 9C3/13C3 =42/143
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A.7
B.5
C.8
D.12
Answer: C.8
Explanation: 80% --- 12
120% --- ?
80/120 * 12 = 8
ANSWER C
Question: The length of a train and that of a platform are equal. If with a speed of 108 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
A.299
B.266
C.299
D.900
Answer: D.900
Explanation: Speed = [108 * 5/18] m/sec = 30 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 30 => x = 30 * 60 / 2 = 900
Answer: D
Question: What is value of x if 32-y=16x-y?
A.1
B.3
C.4
D.2
Answer: D.2
Explanation: 32-y=16x-y
32=16x-y+y
16x=32
x=2
Answer is option D
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
A.1/113
B.1/115
C.1/216
D.2/113
Answer: C.1/216
Explanation: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64=6×6×6×6=64
n(S)=64n(S)=64
Let XX be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6n(X)=6
Hence required probability,
=n(X)n(S)=664=n(X)n(S)=664
=1/216
C
Question: Steve traveled the first 2 hours of his journey at 30 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
A.68 mph
B.56.67 mph
C.60 mph
D.64 mph
Answer: C.60 mph
Explanation: Answer
Average speed of travel = Total distance travelled/Total time taken
Total distance traveled by Steve = Distance covered in the first 2 hours + distance covered in the next 3 hours.
Distance covered in the first 2 hours = speed * time = 30 * 2 = 60 miles.
Distance covered in the next 3 hours = speed * time = 80 * 3 = 240 miles.
Therefore, total distance covered = 60 + 240 = 300 miles.
Total time taken = 2 + 3 = 5 hours.
Hence, average speed = Total distance travelled/Total time taken=300/5 = 60 miles per hour.
Choice C
Question: A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 400,000?
A.200
B.216
C.300
D.400
Answer: C.300
Explanation: first digit=last digit=4 or 6 or 8 so three possibilities..
second =fifth= any of ten digits
third =fourth= any of ten digits..
so total integers=3*10*10=300
ANSWER:C
Question: Last year the range of the annual fees of the 50 courses in a college was $300. If the annual fees of each of the 50 courses this year is 10 percent greater than it was last year, what is the range of the annual fees of the 50 courses this year?
A. $270
B. $300
C. $330
D. $360
Answer: C. $330
Explanation: let the lowest fees x.
Therefore, highest fees is x +300.
Now fees of each course is increased by 10%.
Therefore the fees will remain arranged in the same order as before.
or Lowest fees = 1.1x and Highest = 1.1 * (x+300)
or Range = highest - lowest = 1.1 * (x+300) - 1.1x
= 330, Hence, C
Question: If a and b are different positive integers and a + b = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a = b = 0
A.I only
B.II only
C.III only
D.I and II
Answer: A.I only
Explanation: a has to equal a squared, and that only works if a is 1. both cannot be 0.
Answer : A
Question: 2^5*3^3*2^4*3 =
A.3^5*2^5
B.2^9*3^4
C.2^4*3^9
D.5^8
Answer: B.2^9*3^4
Explanation: 2^5*3^3*2^4*3 =
A) 3^5*2^5
B) 2^9*3^4
C) 2^4*3^9
D) 5^8
E) 6^10
If the base is same, powers are added so that follows B) 2^9*3^4.
Hence the answer is B
Question: The cost price of 20 articles is the same as the selling price of
x articles. If the profit is ,25%, find the value of x
A.16
B.17
C.19
D.20
Answer: A.16
Explanation: 25=(20-X)100/X
X=4(20-X)
X=16
ANSWER A
Question: A jogger running at 9 kmph along side a railway track is 260 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
A.3.6 sec
B.38 sec
C.36 sec
D.72 sec
Answer: B.38 sec
Explanation: Speed of train relative to jogger
= (45 – 9) km/h = 36 km/h
= (36 × 5⁄18) m/sec = 10 m/sec
Distance to be covered = (260 + 120) m = 380 m.
∴ Time taken = (380⁄10) sec = 38 sec.
Answer B
Question: A person lent out some money for 1 year at 6% per annum simple interest and after 18 months, he again lent out the same money at a simple interest of 24% per annum. In both the cases, he got Rs.4704. Which of these could be the amount that was lent out in each case if interest is paid half-yearly?
A.2200
B.3000
C.3200
D.4200
Answer: D.4200
Explanation: If interest is paid half yearly,
in first case , r=3% per 6 months
for 18 months, I=( P*3*3)/100 ; here r=3% and t=3 as interest for 18 months in t=18/6
for next 6 month (i.e 24 months) I= (P*3*4)/100 =12P/100
second case,
After 18 months, same amount is lent out
r=12%
for 6 month i.e, first interest for t=1 , I=(12*1*P)/100=12P/100
For both cases , he got 4704
In above case , both cases have same interest as 12P/100
i.e P+12P/100=4704;
P=4200
ANSWER:D
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
A.120
B.278
C.292
D.234
Answer: A.120
Explanation: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 10
= 120 cm2
Answer:A
Question: In a partnership between A, B and C. A's capital is Rs.10000. If his share of a profit of Rs.1200 is Rs.400 and C's share is Rs.330, what is B's capital?
A.Rs.20750
B.Rs.22750
C.Rs.21750
D.Rs.21200
Answer: C.Rs.21750
Explanation: 400 + 330 = 730
1200 - 330 = 870
400 ---- 10000
870 ---- ? =>21750
ANSWER:C
Question: A and B together have USD. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
A.USD 460
B.USD 484
C.USD 550
D.USD 664
Answer: B.USD 484
Explanation: 4/5 A= 2/5 B
=> A=(2/5 * 15/4) B
=> A=3/2 B
=>A/B= 3/2
=> A:B =3:2
Therefore B's Share =USD (1210 * 2/5) = USD 484
Answer is B
Question: Which of the following options is an appropriate approximate value in the following equation’? 5 2/3 of 234.92+39% of 1205= ? - 625.7
A.2326.85
B.2426.85
C.2526.85
D.2436.85
Answer: B.2426.85
Explanation: 5 2/3 of 234.92+39% of 1205= ? - 625.7
17/3 of 234.92+39/100 of 1205= ? - 625.7
1331.2+469.95= ? - 625.7
1331.2+469.95 + 625.7= ?
≈ 2426.85
Answer B
Question: What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 1?
A.0.5
B.1
C.π/2
D.2
Answer: D.2
Explanation: Maximum distance straight line is diameter
d = 2r = 2..
ANS option D.
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
A.4 min
B.2 min
C.8 min
D.9 min
Answer: A.4 min
Explanation: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min
Answer: A
Question: Tom runs everyday for exercise and running burns 500 calories/mile. If Tom wants to lose 10 pounds, how many miles for how many days does Tom have to run in total. (Assume it takes 3000 calories to lose 1 pound of weight)
A.3 miles for 10 days
B.1 mile for 20 days
C.10 miles for 6 days
D.5 miles for 2 days
Answer: C.10 miles for 6 days
Explanation: It takes 3000 calories to lose 1 pound, which means it takes 30000 calories to lose 10 pounds. If running 1 mile burns 500 calories, Tom would need to run 10 miles = 5000 calories for 6 days = 5000 * 6 = 30000. None of the other answers would give 30000. Correct Option: 10 miles for 6 days. Answer: C
Question: The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is
A.22
B.27
C.35
D.87
Answer: C.35
Explanation: Explanation:
Required Length = H.C.F of 700 cm, 385 cm and 1295 c
= 35 cm.
Answer: C) 35 cm
Question: The number of words from the letters of the words BHARAT in which B and H will never come together, is
A.360
B.240
C.120
D.None of these
Answer: B.240
Explanation: Solution
There are 6 letters in the word BHARAT, 2 of them are identical.
Hence total number of words with these letter = 360
Also the number of words in which B and H come together = 120
∴ The required number of words = 360 – 120 = 240. Answer B
Question: Dravid is 9 years older than his daughter Rosy. In 3 years Dravid will be twice as old as Rosy. What is Rosy current age.
A.6
B.8
C.10
D.7
Answer: A.6
Explanation: Now: Rosy = x, Dravid =x+9
In 3 years Rosy = x+3, Dravid = x+9+3 or 2(x+3)
x+12= 2x+6
x= 6
Rosy is 6 years old
Answer : A
Question: Letters of alphabets no from 1 to 26 are consecutively with 1 assigned to A and 26 to Z. By 27th letter we mean A, 28th B. In general 26m+n, m and n negative intezers is same as the letters numbered n.
Let P = 6, strange country military general sends this secret message according ot the following codification scheme. In codifying a sentence, the 1st time a letter occurs it is replaced by the pth letter from it. 2nd time if occurred it is replaced by P^2 letter from it. 3rd time it occurred it is replaced by p^3 letter from it. What is the code word for ABBATIAL
A.DFHASDO
B.HDFAHLOU
C.LDOIHYAD
D.GHLKZOIR
Answer: D.GHLKZOIR
Explanation: A should be coded as 1+6 = G (it occurred for first time)
B should be coded as 2+6 = H (it occurred for first time)
B Should be coded as 2 + 36 = 38 - 26 = 12 = L (it occurred for second time)
Option D is correct
Question: Roses can be purchased individually for $6.30, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680?
A. 156
B. 162
C. 316
D. 324
Answer: C. 316
Explanation: Buy as many $50 deals as possible. We can by 650/50=13 two dozen roses, thus total of 13*24 = 312 roses.
We are left with 680 - 650 = $30. We can buy 30/6.3 = ~4 roses for that amount.
Total = 312 + 4 = 316.
Answer: C.
Question: The class mean score on a test was 40, and the standard deviation was 15. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
A.20
B.31
C.45
D.90
Answer: A.20
Explanation: 1 SD from the mean is ADDING and Subtrating the amount if standard deviation from the mean one time. 2 SD from the mean is ADDING and Subtracting TWICE.
1SD from the mean ranges from 25 to 55, where 55 is within SD above the mean and 25 within 1SD below the mean
2SD=15 TWICE=30 from the the mean, which is 55 to 25, where 55 is within 2 SD above the mean AND 30 is within 2 SD below the mean.
Answer = A
Question: P and Q started a business investing Rs. 45,000 and Rs. 10,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
A.9:2
B.4:5
C.9:3
D.17:9
Answer: A.9:2
Explanation: P:Q = 45000 : 10000
= 9:2
Answer:A
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
A.7
B.9
C.8
D.4
Answer: C.8
Explanation: 25 = E/(1000 - E) * 100
1000 - E = 4E
1000 = 5E => E = 200
1000 - 200 = 8
Answer:C
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.723 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
A.22200
B.21897
C.28799
D.30000
Answer: D.30000
Explanation: P(11/10)^4 - P(6/5)^2 = 723
P = 30000
Answer: D
Question: The negative and positive charge symbols are assigned (in that order) to the:
A.22
B.77
C.77
D.88
Answer: B.77
Explanation: Answer: Option B
Question: P is three times as fast as Q and working together, they can complete a work in 42 days. In how many days can Q alone complete the work?
A.16
B.77
C.56
D.55
Answer: C.56
Explanation: P = 3Q
P + Q = 3Q + Q = 4Q
These 4Q people can do the work in 42 days, which means Q can do the work in 168 days.
Hence, P can do the work in 56 days.
Answer:C
Question: Tom is 7 years older than Sam, and Jack is thrice as old as Tom. If S is Sam’s age and J is Jack’s age, what is the relationship between S and J?
A.J = 3S + 10
B.J = 3S + 21
C.J = 3S + 5
D.J = 3S − 11
Answer: B.J = 3S + 21
Explanation: T=S+7 and J=3T --> J=3S+21
Answer B
Question: If 15 men, working 9 hours a day, can reap a field in 16 days, in how many
days will 18 men reap the field, working 8 hours a day?
A.12
B.16
C.8
D.15
Answer: D.15
Explanation: Let the required number of days be x.
More men, Less days (indirect proportion)
Less hours per day, More days (indirect proportion)
Men 18 : 15
Hours per day 8: 9 } : :16 : x
(18 x 8 x x)=(15 x 9 x 16)<=> x=(44 x 15)144 = 15
Hence, required number of days = 15.
Answer is D.
Question: The measures of the 2 acute angles of a triangle are in the ratio of 2:7. What are the measures of the 2 angles?
A.60°
B.70°
C.80°
D.90°
Answer: B.70°
Explanation: If the ratio of the two angles is 2:7, then the measures of two angles can be written as 2x and 7x. Also the two acute angles of a triangle is equal to 90°. Hence
2x + 7x = 90
9x = 90
x = 10
Measures of the two acute angles are
2x = 2 × 10 = 20°
7x = 7 × 10 = 70°
B
Question: Two trains 141 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
A.7.18
B.7.12
C.7.43
D.7.59
Answer: D.7.59
Explanation: T = (141 + 165)/ (80 + 65) * 18/5
T = 7.59
Answer:D
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800. Deepak's share is?
A.Rs. 9600
B.Rs. 8500
C.Rs. 8450
D.Rs. 8400
Answer: D.Rs. 8400
Explanation: Ratio of their shares = 22500 : 35000 = 9 : 14
Deepak's share = Rs. (13800 * 14/23) = Rs. 8400 ANSWER "D
Question: If x > 0.5, which of the following could be the value of x?
A.√0.007
B.√0.006
C.√0.008
D.√0.5
Answer: D.√0.5
Explanation: Answer : D
Question: A man sells a horse for Rs.860 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
A.287
B.879
C.967
D.900
Answer: D.900
Explanation: CP = SP + 1CP = SP - g
860 + x = 980 - 2x
3x = 120 => x
= 40
CP = 860 + 40
= 900
Answer:D
Question: (23341379 x 72) = ?
A.1680579288
B.1223441288
C.2142579288
D.2142339288
Answer: A.1680579288
Explanation: Explanation :
23341379 x 72 = 23341379(70 + 2) = (23341379 x 70) + (23341379 x 2)
= 1633896530 + 46682758 = 1680579288. Answer : Option A
Question: Average marks of a,b,c is 48. When d joins average becomes 47. E has 3 more marks than d. Average marks of b,c,d,e is 48. What is the marks of a?
A.43
B.44
C.45
D.46
Answer: A.43
Explanation: a+b+c=144
a+b+c+d=188
d=44
e=47
b+c+d+e=192
b+c=101
a=43
ANSWER:A
Question: In a 2000 census, 51.27% of the population are male, and 48.73% are female. What is the ratio of men to every 100 women?
A.110:100
B.105:100
C.95:100
D.85:100
Answer: B.105:100
Explanation: The ratio of A to B, where
A = the percent of males, and
B = the percent of females.
A = 51.27
B = 48.73
A:B = 51.27:48.73
So, 100(5,127/4,873):100
Giving a male to female ratio of 105.20 men for every 100 women.
Answer is B
Question: In Country X a returning tourist may import goods with a total value of $500 or less tax free, but must pay an 8 percent tax on the portion of the total value in excess of $500. What tax must be paid by a returning tourist who imports goods with a total value of $730 ?
A.$58.40
B.$40 .00
C.$24.60
D.$18.40
Answer: D.$18.40
Explanation: The tourist must pay tax on $730 - $500 = $230. Thus the amount to be paid is 0.08*$230 = $18.40.
Answer: D.
Question: The length of the bridge, which a train 145 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A.76 m
B.178 m
C.230 m
D.187 m
Answer: C.230 m
Explanation: Speed = [45 X 5/18] m/sec
= [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (145 + x)/30 = 25/2
=> 2(145 + x)= 750 => x = 230 m.
Answer: C
Question: The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 90 black cars in the lot, how many red cars are there in the lot?
A.11
B.33
C.24
D.27
Answer: B.33
Explanation: B is correct
R/B = 3/8 and B =90
R = 90*3/8 = 33
Question: If P (A) = 0.18, P (B) = 0.5 and P (B|A) = 0.2, find P(A n B)?
A.0.28
B.0.36
C.0.45
D.0.56
Answer: B.0.36
Explanation: P(B|A) = P(A n B)/P(A)
P(A n B) = P(B|A) × P(A)
P(A n B) = 0.2 × 0.18
P(A n B) = 0.36
B)
Question: A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
A.250
B.276
C.280
D.285
Answer: D.285
Explanation: Explanation:
Since the month begins with a Sunday, to there will be five Sundays in the month.
Required average
= {510 x 5 + 240 x 25 }/30
=	8550/30
= 285
ANSWER:D