RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
A.240
B.235
C.245
D.250
Answer: C.245
Explanation: Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 + x)/30 = 25/2
x = 245 m.
Answer: Option C
Question: P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?
A.9(3/5) days
B.9(1/5) days
C.9(2/5) days
D.10 days
Answer: A.9(3/5) days
Explanation: Explanation :
Amount of work P can do in 1 day = 1/16
Amount of work Q can do in 1 day = 1/12
Amount of work P, Q and R can together do in 1 day = 1/4
Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48
=> Hence R can do the job on 48/5 days = 9 (3/5) days
Answer : Option A
Question: Sohan purchased a horse for Rs.2000 and sold it to Mohan at a loss of 10 percent. Mohan sold it to Sham at a loss of 10 percent while sham sold it to Gopi at a gain of 10 percent. The amount Gopi paid for it would be
A.2399
B.788
C.1782
D.67591
Answer: C.1782
Explanation: Explanation:
Cost price = 2000
Selling price = 90% (2000) = 1800.
Mohan sold this to Sham at a loss of 10%. So selling price = 90% (1800) = 1620
Sham sold this at 10% profit. So selling price = 110% (1620) = 1782
Answer:C
Question: A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 200 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: The distance between the nest and the ditch is 200 meters.
15 times mean = A crow leaves its nest, and flies back ( going and coming back) i.e. 2 times we get total 30 rounds.
So the distance is 30 * 200 = 6000.
D = ST
6000/1.5 = T , I think we can take 6000 meters as 6 km, then only we get T = 4.( 1000 meters = 1 km)
D)
Question: If a, b, and c are consecutive positive even integers and a > b > c, which of the following could be equal to a + b + c ?
A.12
B.2
C.-1
D.-3
Answer: A.12
Explanation: consectutive even , X , X + 2 , X + 4 where X = Even
now subtract X + (X+2) + (X+4)
doing this leaves us with 3X + 6
what even number can we substitute in X to yield an answer choice
A works 12 (plug in 2 for X)
Question: A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
A.1400
B.1500
C.1600
D.1200
Answer: B.1500
Explanation: Explanation :
Assume that the total profit is x.
Since 5% goes for charity, 95% of x will be divided between A and B in the ratio 3: 2
=> A's profit = (95x/100) * (3/5) = 855
=> 95x/100 = 855*5/3 = 285*5 = 1425
=> x = 1425 * 100/95 = 285 * 100/19 = 1500
Hence the total profit = 1500. Answer : Option B
Question: A box contains eight bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
A.10/35
B.11/35
C.9/35
D.8/35
Answer: D.8/35
Explanation: Required probability = (4C3 . 4C1)/8C4 = (4 * 4)/70
= 8/35
Answer:D
Question: Two thirds of the roads from A to B are at least 5 miles long, and 1/2 of the roads from B to C are at least 5 miles long. If you randomly pick a road from A to B and then randomly pick a road from B to C, what is the probability that at least one of the roads you pick is at least 5 miles long?
A.5/6
B.1/4
C.2/3
D.3/4
Answer: A.5/6
Explanation: So please:
Find the probability of the event thatnoneof the roads you pick will be at least 5 miles long and subtract from 1 to get the probability thatat least oneof the roads you pick will be at least 5 miles long: P=1-1/3*1/2=5/6.
Answer: A.
Question: I came across this problem in the GMATprep software and got it totally wrong!
A company consists of 6 senior and 4 junior staff officers. If a committee is created with 1 senior and 1 junior staff officers, how many possible committees are there?
A.12
B.44
C.56
D.24
Answer: D.24
Explanation: 6C1*4C1
=24=D
Question: Working simultaneously at their respective constant rates, machine A and B produces 20 widgets in c hours. Working alone at its constant rate, Machine A produces 20 widgets in 'a' hours.In terms of a and c, how many hours does it take Machine B, working alone at its constant rate, to produce 10 widgets
A.ac/a+c
B.2ac/a+c
C.ac/2a+2c
D.ac/2a-2c
Answer: D.ac/2a-2c
Explanation: Let the individual rates be R(a) and R(b) for machines a and b respectively. Given than combined rate is 20 widgets in c hours => 20/c
R(a) + R(b) = 20/c
Also given is the individual rate for machine a = R(a) = 20/a
Therefore, R(a) + R(b) = 20/c => 20/a + R(b) = 20/c => R(b) = 20/c - 20/a = 20(a-c)/ac = 20/(ac/(a-c)), which basically means that b produces 20 widgets in ac/a-c Hrs. We have to calculate how much does it take to produce 10 widgets. So divide the rate by 2 which gives us ac/2(a-c).
Hence the answer is D
Question: Three cannons are firing at a target. If their individual probabilities to hit the target are 0.6, 0.7, and 0.8 respectively, what is the probability that none of the cannons will hit the target after one round of fire?
prob. that all the cannons will hit the target = .06
prob. that none of the cannons will hit = 1 - .06 = .94
A.0.006
B.0.012
C.0.024
D.0.029
Answer: C.0.024
Explanation: The probability that eachdoesn'thit is: 0.4, 0.3, and 0.2. When we have multiple independent events, we multiply the probabilities:
.4*.3*.2 = 0.024.
Option: C
Question: Find the smallest number that must be added to 1780 to make it a perfect square.
A.17
B.42
C.69
D.47
Answer: C.69
Explanation: 4 1780 (42
16
82	180
164
16
Number to be added = (43)2 - 1780 = 1849 - 1780 = 69.
ANSWER C
Question: square of 99=?
A.9001
B.9621
C.9431
D.9801
Answer: D.9801
Explanation: Square of (100-1)=10000+1-200
9801
answer D
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
A.1:96
B.1:76
C.1:92
D.1:28
Answer: A.1:96
Explanation: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.
(4x)(3x) = 6912
12x2 = 6912
x2 = 576 = 4 * 144 = 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas = 3x : 12x2 = 1 : 4x = 1: 96.
Answer: A
Question: The positive number a is q percent greater than the positive number b, which is z percent less than a itself. If a is increased by z percent, and the result is then decreased by q percent to produce a positive number c, which of the following could be true?
I. c > a
II. c = a
III. c < a
A.I only
B.II only
C.III only
D.I and II only
Answer: C.III only
Explanation: Let q = 10% then z = 100/11 %
let b = 100 then a = 110
after increasing a by z and decreasing by q we get c= 108
therefore c<a
C it is answer
Question: A man performs 1/2 of the total journey by rail, 1/4 by bus and the remaining 4km on foot. His total journey is
A.18km
B.16km
C.12km
D.24km
Answer: B.16km
Explanation: Explanation:
Let the journey be x km
Then, 1x/2 + 1x/4 +4 =x
3x +16 =4x
X = 16km
Answer: Option B
Question: Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
A.7
B.6
C.8
D.5
Answer: D.5
Explanation: Let the rate of interest be R% p.a.
17400[1 + R/100]2 = 17400 + 1783.50
[1 + R/100]2 = (17400 + 1783.50)/17400
= 1 + 1025/10000 = 1 + 41/400
= 441/400 = [21/20]2
[1 + R/100] = 21/20
R/100 = 1/20
Therefore R = 5.Answer: D
Question: In the city of San Durango, 50 people own cats, dogs, or rabbits. If 20 people owned cats, 30 owned dogs, 30 owned rabbits, and 20 owned exactly two of the three types of pet, how many people owned all three?
A.2
B.4
C.8
D.5
Answer: D.5
Explanation: Total = C + D + R - (CD + DR + CR) - 2CDR
50 = 20 + 30 + 30 - (20) - 2x
x = 5
So, answer will be D
Question: A jar contains 16 marbles, of which 4 are red, 3 are blue, and the rest are yellow. If 2 marbles are to be selected at random from the jar, one at a time without being replaced, what is the probability that the first marble selected will be red and the second marble selected will be blue?
A.3/64
B.1/20
C.1/16
D.1/12
Answer: B.1/20
Explanation: Note that we want the first marble selected to be red and the second marble selected to be blue.
P=4/16*3/15=1/20.
Answer: B.
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 30 metres?
A.6
B.8
C.12
D.4
Answer: A.6
Explanation: Speed of the boat downstream = 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m = 30/5 = 6 seconds.
Answer: A
Question: A train 440 metres 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.5 sec
B.6 sec
C.7 sec
D.24 sec
Answer: D.24 sec
Explanation: Solution
Speed of train relative to man =(60+6) km/hr= 66km/hr
=(66x5/18) m/sec =(55/3) m/sec
∴ Time taken to pass the man = (440 x 3/55)sec = 24 sec
Answer D
Question: A car runs at the speed of 55 km per hour when not serviced and runs at 90 kmph when serviced. After servicing the car covers a certain distance in 3 hours. How much time will the car take to cover the same distance when not serviced?
A.8 hours
B.6 hours
C.9 hours
D.7 hours 12 minutes
Answer: B.6 hours
Explanation: Explanation :
Time = 90*3 / 45 = 6 hours
Answer â€“ B
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
A.25%
B.50%
C.20%
D.5%
Answer: B.50%
Explanation: L.C.M of 15 and 12 = 60
CP of 60 articles = Rs. 100 (25 * 4)
SP of 60 articles = Rs. 150 (30 * 5)
Profit percentage = (150 - 100)/100 * 100 = 50%
ANSWER:B
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
A.36
B.45
C.48
D.49
Answer: C.48
Explanation: Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.10 + 0.9 = 2 km = 2000 m.
Required time = 2000 * 3/125 = 48 sec.
ANSWER:C
Question: 5 points are marked on a straight line and another 6 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
A.21
B.91
C.135
D.196
Answer: C.135
Explanation: Solution: select 2 from 5 and one from 6 + select 2 from 6 and 1 from 5
6C2*5C1 + 5C2*6C1
= 135
Answer : C
Question: 6/[(1/0.03) + (1/0.37)] = ?
A.0.004
B.0.16666
C.2.775
D.3.6036
Answer: B.0.16666
Explanation: Approximate.
1/.03 = 100/3 = 33
1/.37 = 100/37 = 3
Denominator becomes 33 + 3 = 36
6/36 = .16666
Answer (B)
Question: The length of a rectangular plot is 10 meters more than its width. If the cost of fencing the plot at $15.50 per meter is $744, what is the length of the plot in meters?
A.11
B.13
C.15
D.17
Answer: D.17
Explanation: perimeter = 2L + 2W = 2L + 2(L-10) = 4L - 20
cost of fencing = (4L - 20) * 15.50 = 62L - 310 = 744
62L = 1054
L = 17 meters
The answer is D.
Question: In a hotel we can order two types of varieties, but we can make 9 more varieties in home. One can choose the four varieties with two from hotel as must. Find how many ways one can order.
A.14
B.15
C.36
D.28
Answer: C.36
Explanation: 2c2*9c2=36ways
ANSWER:C
Question: mr. depak has $439,774 in his bank 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 her six best friends?
Options:
A.$1
B.$2
C.$3
D.$4
Answer: B.$2
Explanation: To find the least amount deepak should add to his saving account to split the money evenly among his 6 best friends,
he needs to make the total divisible by 6
Simply add the individual digits of the total = 4+3+9+7+7+4 = 34
If you add 2 , the number is divisible by 6 (34+ 2)
Correct Option : B
Question: The value of 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749 is closest to:
A.0.48
B.5.8
C.0.58
D.0.058
Answer: D.0.058
Explanation: = 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749
= 489 x 0.05 x 2/0.09 x 93 x 100
= 489/9 x 93 x 10
= 163/279 x 1/10
= 0.58/10
= 0.058 (or) 0.06.
Answer is D.
Question: If the cost price of 81 chocolates is equal to the selling price of 45 chocolates, the gain percent is :
A.80%
B.85%
C.82%
D.70%
Answer: A.80%
Explanation: Explanation :
Solution: Let C.P. of each chocolate be Re. 1. then, C.P. of 45 chocolates = Rs. 45;
S.P. of 45 chocolates =Rs. 81.
.'. Gain% = 36*100/45 = 80%
Answer : A
Question: In the xy-coordinate system, line k passes through points (-6m, 0) and (0, 3m). Which of the following is a possible equation of line k?
A.y = -2*x + 3m
B.y = 1/2*x - 6m
C.y = 3x + 3m
D.y = 1/2*x + 3m
Answer: D.y = 1/2*x + 3m
Explanation: The slope of the line is 3m/6m=1/2.
The y-intercept is 3m.
the equation of the line is: y = 1/2*x +3m
The answer is D.
Question: Look at this series: 1875000,375000,75000, ... What number should come next?
A.17
B.25000
C.15
D.18
Answer: B.25000
Explanation: 25000
This is a simple division series. Each number is divided by 5.
ANSER B
Question: A and B started a business with their capitals Rs. 3000 and 9,000 respectively. Annual profit will be distributed between them in the ratio
A.2:7
B.1:9
C.1:3
D.2:3
Answer: C.1:3
Explanation: 3,000:9,000
Ans. 1:3
ANSWER:C
Question: In how many a committee of 5 members can be selected from 6men 5 ladies consisting of 3 men and 2 ladies
A.451
B.125
C.200
D.362
Answer: C.200
Explanation: (3 men out of 6) and (2 ladies out of 5) are to be chosen
Required number of ways
=(6C3 * 5C2)
= 200
Ans: C
Question: An empty wooden vessel weighs 8% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
A.3/7
B.5/9
C.1/24
D.4/9
Answer: A.3/7
Explanation: An empty wooden vessel weighs 8% of its total weight when filled with paint:
Vessel = 0.08(Vessel + Paint);
8V = V + P (so the weight of completely filled vessel is 8V)
P = 7V (so the weight of the paint when the vessels is completely filled is 7V).
The weight of a partially filled vessel is one half that of a completely filled vessel:
V + P' = 1/2*8V;
P' = 3V (so the weight of the paint when the vessels is partially filled is 3V).
What fraction of the vessel is filled?
So, we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled:
P'/P = 3V/7V = 3/7.
Answer: A.
Question: Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
A.600
B.720
C.1440
D.4320
Answer: C.1440
Explanation: for such questions , we can treat both as one then total person=6..
these 6 can be arranged in 6! ways.. but within these 6 , one consists of two people who can be arranged in 2 ways CF or FC.. so ans =6!*2=1440
ans C
Question: In a stack of cards, 7 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 4/5. What is the number of cards in the stack?
A.8
B.11
C.12
D.15
Answer: A.8
Explanation: This question can be solved by TESTing THE ANSWERS.
We're told that we have 7 blue cards and an unknown number of red cards. We're also told that if 2 cards are to be chosen at random from the stack WITHOUT replacement, then the probability that the cards chosen will BOTH be BLUE is 4/5. We're asked for the TOTAL number of cards.
Normally, when TESTing THE ANSWERS,
Answer A: 8 total cards
With 8 total cards, and 7 blue cards, the probability of pulling two blue cards is...
(7/8)(6/7) = 42/56
Since 4/5 = 0.75, this is clearly the answer.
A
Question: How many numbers with 1 different digits can be formed using only the odd digits?
A.10
B.20
C.4
D.60
Answer: C.4
Explanation: Odd digits are 2, 4, 6, 8.
We want 3 different digits.
First digit can be chosen in 4 ways.
Total ways = 4
= 4
Hence option (C).
Question: A bag contains 5 white balls, 4 black balls, and 3 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
A.1/2
B.1/4
C.3/8
D.5/16
Answer: B.1/4
Explanation: The probability for each ball to be drawn third is equal.
Then the probability a red ball is drawn third is 3/12 = 1/4.
The answer is B.
Question: a ladder is 100 m long and distance between bottom of the ladder and wall is 60m.what is the maximum size of the cube that can be placed between the wall and the ladder.
A.40
B.45
C.50
D.55
Answer: A.40
Explanation: side of the cube is 40m
AB-WALL
BC- DISTANCE BETWEEN WALL AND LADDER FOOT=60m
AC-LADDER=100m
SO AB=SQ.RT (AC^2-BC^2)=80m
Area of triangle ABC=1/2*b*h=2400 sq. m
lasrgest possible square will be of area 1600sq. m
so side =40m
ANSWER:A
Question: 5 and 15 are the first two terms in a geometric sequence. What is the arithmetic difference between the 9th term and the 7th term?
A.3*5^2
B.5* 3^13 - 5 * 3^11
C.40 * 3^7
D.40 * 3^10
Answer: C.40 * 3^7
Explanation: Common ratio = 15/5 =3
7th term = 5*3^7
9th term = 5*3^9
Difference = 5 * (3^9 - 3^7)
= 5 * 3^7 *(3^2 - 1)
= 5 * 3^7 * 8
= 40 * 3^7....
C
Question: David works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 500 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 13,500. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.?
A.6500
B.3500
C.2500
D.4500
Answer: D.4500
Explanation: let the rate be x, then population of the bacteria after each hour can be given as 500,500x, 500(x^2), 500(x^3)
now population at 4pm =13,500
thus we have 500(x^3) = 13,500 =27
thus x=3
therefore population at 3pm = 500(9) = 4,500
Answer : D
Question: Find the roots of quadratic equation: x2 + x - 42 = 0?
A.-6, 7
B.-8, 7
C.14, -3
D.-7, 6
Answer: D.-7, 6
Explanation: x2 + 7x - 6x + 42 = 0
x(x + 7) - 6(x + 7) = 0
(x + 7)(x - 6) = 0 => x = -7, 6
ANSWER:D
Question: There is a certain relation between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the given pair has.
A.Landslides
B.Strains
C.Resistances
D.Volcanoes
Answer: B.Strains
Explanation: Explanation:
Seismography is an instrument to measure the intensity of an earthquake.
Similarly, taseometer is an instrument to measure strains.
Answer: B) Strains
Question: Shreyas bought an article and sold it for 115% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.33750/-?
A.Rs.24600
B.Rs.29348
C.Rs.24250/-
D.Rs.23200
Answer: B.Rs.29348
Explanation: Explanation:
115% of CP = Rs.33750
:. CP = Rs.33750x100/115 = Rs.29348.
Answer: Option B
Question: Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 18,000, what is Suresh's share?
A.s. 6750
B.s. 7750
C.s. 8750
D.s. 9372
Answer: A.s. 6750
Explanation: Explanation:
Ratio of Suresh and Ramesh's share = 24,000 : 40,000 = 3 : 5
Suresh's share = Rs. (18000 x 3 / 8) = Rs. 6750
ANSWER: A
Question: How many zeroes are there at the end of the number N, if N = 80! + 160! ?
A.15
B.19
C.23
D.27
Answer: B.19
Explanation: The number of zeroes at the end of 80! will be less than the number of zeroes at the end of 160!
Hence it is sufficient to calculate the number of zeroes at the end of 80!
The number of zeroes = [80/5] + [80/25] + [80/125] = 16 + 3 + 0 = 19
The answer is B.
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
A.33 1/6%
B.33 7/3%
C.33 1/3%
D.33 1/5%
Answer: C.33 1/3%
Explanation: 1/4 CP = 210 SP = 21*(80/100) = 168
SP = 840*(120/100) = 1008
1008 - 168 = 840
3/4 SP = 630
Gain = 210
630 --- 210
100 --- ? => 33 1/3%
Answer: C
Question: If the digits 33 in the decimal 0.00033 repeat indefinitely, what is the value of (10^5-10^3)(0.00033)?
A.0.33
B.33
C.0.033
D.0.0033
Answer: B.33
Explanation: 99*0.33=32.67 approx. 33
Answer : B
Question: A class has 30 boys and 20 girls. If 20 percent of the boys and 25 percent of the girls got "A" grade, what percent of the total number of students got "A" grade.
A. 5.5%
B. 16.5%
C. 20.0%
D. 49.5%
Answer: C. 20.0%
Explanation: 20% of 30 boys, hence 0.20 *30 = 6 boys got "A" grade.
25% of 20 girls, hence 0.25*20 = 4 girls got "A" grade.
Thus (Girls + boys) /(total) = (4 + 6)/(30 + 20) = 10/50 = 20% "A" grade students
Answer: C.
Question: In the parking lot there are 34 vehicles, 19 of them are buses, and the rest are cars. The color of 17 vehicles is red, of which 12 are buses. How many cars can be found in the parking lot which are not colored red?
A.9
B.10
C.11
D.12
Answer: B.10
Explanation: The number of cars is 34-19 = 15.
The number of red cars is 17-12=5.
The number of cars which are not red is 15-5=10.
The answer is B.
Question: Jon bought a TV on sale for 25% off. If the TV cost him $549.99, what is the original selling price of the TV?
A.$2199.96
B.$137.49
C.$733.32
D.$687.48
Answer: C.$733.32
Explanation: Explanation:CP of Jon is 25% of the Original SP.:. Original SP = 549.99x100/75 = $733.32.Answer: Option C.
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
A.40
B.10
C.20
D.125
Answer: D.125
Explanation: Explanation:
Distance= speed * Time
D = 90 * 5/18 * 5 = 125 m
Answer: D
Question: 45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
A.17
B.97
C.18
D.55
Answer: D.55
Explanation: (45 * 8)/30
= (x * 6)/50
=> x =100
100 – 45
= 55
Answer: D
Question: A rope of which a calf is tied is increased from 12 m to 25 m, how much additional grassy ground shall it graze?
A.1400
B.141.71
C.1210
D.1511.71
Answer: D.1511.71
Explanation: π (252 – 122) =1511.71
Answer: D
Question: An employee whose hourly wage was increased by 25 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?
A.9
B.13
C.16
D.20
Answer: D.20
Explanation: Let original hourly wage be x and let the no of hours worked be y
Total wage will be =x*y
After the increment the wage will be=1.25 x
Now we need to find number of hours worked so that
x*y=1.25x*z i.e z=4/5 y
%decrease = (y-4/5y)/y *100=100/5=20%.
Thus my answer is D
Question: How long does a heavy vehicle of 200 m long traveling at 90 kmph takes to cross a bridge of 180 m in length?
A.16.7
B.16.8
C.16.5
D.11.2
Answer: D.11.2
Explanation: D = 200 + 180 = 280 m
S = 90 * 5/18 = 25
T = 280 * 25 = 11.2 sec
Answer:D
Question: How many days will there be from 24th January,1996 to 15th May,1996(both days included)?
A.102
B.113
C.111
D.120
Answer: B.113
Explanation: Explanation:
Number of days from 24-Jan-1996 to 15-May-1996 (both days included)
= 8(Jan) + 29(Feb) + 31 (Mar) + 30(Apr)+ 15(May) = 113
Answer: Option B
Question: Evaluate: 96385 + 12*3*25 = ?
A.96385
B.96358
C.96785
D.96485
Answer: D.96485
Explanation: According to order of operations, 12?3?25 (division and multiplication) is done first from left to right
12/2 = 4* 25 = 100
Hence
96385 + 12*3*2 = 96385 + 100 = 96485
correct answer D