RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If p is a positive integer and 10p/96 is an integer, then the minimum number ofuniqueprime factors p could have is H:
A.H=1
B.H=2
C.H=3
D.H=4
Answer: B.H=2
Explanation: 10p/96 should resolve to a integer => 5p/48 should resolve to an integer.
Hence p/48 should resolve to a integer.
48 -- > 2^4 * 3.
Hence p should have atleast 2^4*3 for p/48 to resolve to a int.
The unique prime factors in 2^4 * 3 is 2, 3 and hence the answer is B(2).
Question: 5358 x 51 = ?
A.273258
B.273158
C.273268
D.283258
Answer: A.273258
Explanation: 5358 x 51	= 5358 x (50 + 1)
= 5358 x 50 + 5358 x 1
= 267900 + 5358
= 273258
Answer is A.
Question: How many possible integer values are there for x if |4x - 3| < 6 ?
A.One
B.Two
C.Three
D.Four
Answer: C.Three
Explanation: Solution: |4x-3| < 6
let 4x=a therefore we have |a-3| < 6 ==> read this as origin is at +3 and we have to move +6 to the right and -6 to the left
(the less than sign represents that the a must be within boundaries )
(3-6)----------3----------(3+6)
now, we have -3<a<9
but a =4x ==> -3<4x<9
dividing all values by +4 we have -0.75 <x < 2.24
Now question says Integer values (not rational ) therefore we have 0,1,2
ANSWER:C
Question: what is the distance between two parallel chords of length 32 cm and 24 cm in a circle of radius 20 cm ?
A.1 or 7
B.3 or 21
C.4 or 28
D.2 or 14
Answer: C.4 or 28
Explanation: since the chord length=2sqrrt(r^2-d^2)
chord length=32,r=20 then we get d=12
chord length=24,r=20 then we get d=16
then we add/subtract we get option c) 4 or 28
ANSWER:C
Question: 0.0006688/0.0000150 x 19.85 = ?
A.850
B.900
C.950
D.1000
Answer: B.900
Explanation: Explanation :
? = 6688/150 x 19.85 = 45 x 20 = 900
Answer : Option B
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.16 a.m
B.10 a.m
C.17 a.m
D.76 a.m
Answer: B.10 a.m
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: The velocity of a falling object in a vacuum is directly proportional to the amount of time the object has been falling. If after 7 seconds an object is falling at a speed of 90 miles per hour, how fast will it be falling after 12 seconds?
A.18 miles per hour
B.156 miles per hour
C.216 miles per hour
D.1080 miles per hour
Answer: B.156 miles per hour
Explanation: Since Velocity is proportional to Time
Velocity =k*Timewhere k is the constant of proportionality
Time= 7 seconds
Velocity = 7k = 90 miles per Hour
i.e. k = 13
i.e. The relation between Velocity and Time becomes
Velocity =13*Time
Time= 12 seconds
Velocity = 13*12 = 156 miles per hour
Answer: Option B
Question: In a recent election, Geoff received 1 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3000 more votes to win the election, what is the value of x ?
A. 50
B. 54
C. 56
D. 51
Answer: D. 51
Explanation: Word problems are tricky in somehow more than other problem because you have the additional step to translate.
Breaking the problem: Geoff how many votes he receives ?? 60 votes
he needs 3571 more votes so : 60+3000= 3060
Now what's the problem wants ?? a x %........3060 is what % of total votes 6000........translating: 3060 = x/100 * 6000 ---
x= 51 %..........D
Question: As a treat for her two crying children, a mother runs to the freezer in which she has five cherry ice pops, three orange ice pops, and four lemon-lime ice pops. If she chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one invariably being jealous of the other and getting even more upset, what is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
A.1/9
B.1/6
C.5/18
D.1/999
Answer: D.1/999
Explanation: Probability of not getting the same flavor ->
Favourable -> Cherry - orange [ 5C1 * 3C1 [or simply 5*3 ] or Cherry - lemon [ 5*4] or orange - lemon [3*4]
Prob = (5*3 + 5*4 + 3*4 ) / 9C2 = 47/47520 = 1/999
Answer -> D
Question: A mall charges 50 cents for the first hour of parking and $4 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a Rahul parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay?
A.$25
B.$12.
C.$23.5
D.$24.5.
Answer: A.$25
Explanation: 0.50+4*4+2*4+0.50= $25
Answer: $25
Question: Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many L minutes it takes John to reach the station?
A.5 min
B.6 min
C.7 and 1/2 min
D.8 min
Answer: C.7 and 1/2 min
Explanation: Since the question states “after 15 minutes”, we can say Tom traveled 15/4km for 15 minutes as he can travel 15km per hour. Hence, using the same logic, we can say John traveled 10/4km as he travels 10km per hour. So, John has to travel (15/4)-(10/4)km=5/4km more. Since John’s speed is 10km/hour, which means 1km/6minutes. As he has to travel 5/4km more, it is going to take him 6(5/4) minutes. Hence,L 6(5/4)=15/2 minutes. The correct answer is C.
Question: A train traveling at 180 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. What is the length of the platform in meters?
A.240 meters
B.360 meters
C.420 meters
D.600 meters
Answer: D.600 meters
Explanation: Answer
Distance covered by the train when crossing a man and when crossing a platform
When a train crosses a man standing on a platform, the distance covered by the train is equal to the length of the train.
However, when the same train crosses a platform, the distance covered by the train is equal to the length of the train plus the length of the platform.
The extra time that the train takes when crossing the platform is on account of the extra distance that it has to cover. i.e., length of the platform.
Compute length of platform
Length of the platform = speed of train * extra time taken to cross the platform.
Length of platform = 180 kmph * 12 seconds
Convert 180 kmph into m/sec
1 kmph = 5/18 m/s (This can be easily derived. But if you can remember this conversion, it saves a good 30 seconds).
∴ 180 kmph = 5/18∗180 = 50 m/sec
Therefore, length of the platform = 50 m/s * 12 sec = 600 meters.
Choice D
Question: A certain gallery is hanging a series of 8 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?
OE
A.1440
B.200
C.122
D.80
Answer: A.1440
Explanation: We need to consider them separately because the question specifies:
1. Panel paintings have to be placed only at 2nd and 6th place.
2. Implies that Canvas has to be placed 1,3,4,5,7, 8th place.
So we have two separatebucketsto consider.
So panels can be ordered in 2!
Canvas can be ordered in 6!
since relative position of panels to canvas is fixed (Panels 2nd and 6th) the answer is 2! x 6!=1440
A
Question: Perimeter of the backwheel =9 feet,front wheel=7 feet on a certain distance ,the front wheel gets 10 revolution more than the back wheel.what is the distance
A.315
B.2888
C.270
D.18191
Answer: A.315
Explanation: Let the backwheel made x revolutions then front wheel makes x + 10
x x 9 = (x + 10) x 7
x = 35
So distance traveled = 35 x 9 = 315
Answer:A
Question: In how many ways can 5 apples (identical) be distributed among 4 children? (Some children may get no apples.)
A.56
B.144
C.200
D.256
Answer: A.56
Explanation: Let's just represent apple by the letter A and assume that in order to distribute these apples to different people, we just need to partition them in to 4 baskets.
In order to partition the apples in to 4 baskets, we would need three Partition bars , as shown below:
A | A | AA | A
Child 1 Child 2 Child 3 Child 4
So basically we have 3 identical partition bars and 5 identical apples, how many ways can we arrange these?
8!/5!3! = 56
ANS:A
Question: A box contains seven bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
A.34/35
B.125/186
C.125/126
D.125/186
Answer: A.34/35
Explanation: Required probability
= 1 - 1/35
= 34/35
Answer: A
Question: In a family 13 people eat only vegetarian, 8 people eat only non veg., 6 people eat both veg and non veg.. How many people eat veg in the family?
A.20
B.11
C.19
D.31
Answer: C.19
Explanation: Total people eat veg = only veg + both veg and non veg
Total= 13+6= 19
Answer = C
Question: A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many science books were there at the starting?
A.650
B.670
C.700
D.800
Answer: D.800
Explanation: science books sold = 2x × 0.2 = 0.4x
science books unsold = 2x – 0.4x = 1.6x
art books sold = 5x × 0.2 = x
art books unsold = 5x – x = 4x
total books unsold = 1.6x + 4x = 5.6x
5.6x = 2240
x = 400
2x science = 800
D
Question: In how many ways can 5 boys be allotted four different HOSTEL ROOMS such that none of the rooms are empty and all the 5 boys are accommodated?
A.260
B.240
C.280
D.290
Answer: B.240
Explanation: 4 boys can be selected from 5 boys in 5C4 ways = 5
4 boys can be arranged in 4 rooms in 4! ways
and since 1 boy has to share a room with one of the 4 boys, therefore total ways = 2! = 2
Hence total number of ways in which allocation can be done = 5C4 * 4! * 2! = 5*2*4! =240
B
Question: A person travels from X to Y and vice versa. How long will it take to travel both the ways by bus?
(A) It takes 15 hours in travelling from X to Y by train and returning by bus.
(B) The distance between two places is 360 km.
(C) He can save 3 hrs if he travels both the ways by train.
A.A and B together
B.B and C together
C.A and C together
D.Any two of them
Answer: C.A and C together
Explanation: from x to y and y to x it takes 15hrs
let time taken by train be a and by bus be b
so a+b=15
train takes 3 hrs less i.e,
a+a=12
2a=12
a=6
6+b=15
b=9
2b=18hrs
ANSWER:C
Question: what is the remainder when 788863203 is divided by 990
A.693
B.369
C.769
D.639
Answer: A.693
Explanation: 788863203 / 990
788863203 / 9*110
87651467 / 110 => rem = 77
we have cancelled it by 9
reqd remainder = 9*77 = 693
ANSWER:A
Question: A man purchased 5 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
A.A)250
B.B)350
C.C)450
D.D)470
Answer: A.A)250
Explanation: Explanation:
10 * 150 = 1500
5 * 100 + 5 * 150 = 1250
1500 – 1250 = 250
A
Question: A number when divided by 20 leaves 6 as a remainder. What will be the remainder if the number is divided by 19?
A.7
B.6
C.5
D.11
Answer: A.7
Explanation: Let the minimum whole number be 20+6=26 where 6 is the remainder.
26 when divided by 19 then leaves 7.
Correct answer A.
Question: If p and q are positive integers each greater than 1, and 15(p+1)=29(q+1), what is the least possible value of p+q?
A.36
B.42
C.44
D.46
Answer: B.42
Explanation: 17(p+1)=29(q+1) --> (p+1)/(q+1) = 29/17 --> the least positive value of p+1 is 29, so the least value of p is 28 and the least positive value of q+1 is 15, so the least value of q is 14 --> the least value of p+q is 28+14=42.
Answer: B.
Question: A circle is inscribed in a Triangle of side 6cm. And a square is inscribed in the Circle. What is the area of square?
A.4 cm^2
B.6 cm^2
C.5 cm^2
D.7 cm^2
Answer: B.6 cm^2
Explanation: the radius of the incircle in a equilateral triangle is a/2(sqrt)3 where a=side of triangle=6 cm
so the diameter of the circle would be the diagonal of square
so diagonal=2*a/2(sqrt)3=a/(sqrt)3
so area of square=1/2*(diagonal)^2=6*6/2*3=6 cm^2
ANSWER:B
Question: Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?
A.6400
B.6500
C.7200
D.7500
Answer: A.6400
Explanation: Explanation: Let the sum invested in Scheme A be x and that in Scheme B be (13900 - x).
Then, (x x 14 x 2)/100 + ((13900 - x) x 11 x 2)/100 = 3508
28x - 22x = 350800 - (13900 x 22)
6x = 45000
x = 7500.
So, sum invested in Scheme B = (13900 - 7500) = 6400.
Answer: Option A
Question: 4 different airplanes owned by a rock band will be refueling today at the same airport. There are 2 larger planes carrying people and 2 smaller planes carrying equipment. All tanks are empty and will need to be filled completely. The 2 smaller tanks hold 60 liters each and the larger tanks are 50% bigger. Fuel is .50 cents a liter and there is a charge of $100 service for each plane. How much will it cost to fill all 4 planes?
A.$475
B.$500
C.$525
D.$550
Answer: D.$550
Explanation: Lots of calculations.
100*4 + 2*60*.50+ 60*(3/2)*2*.50
Answer=$550
The correct option is D
Question: The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 432 metres, what is its area?
A.11320 sq.metres
B.11260 sq.metres
C.11280 sq.metres
D.11340 sq.metres
Answer: D.11340 sq.metres
Explanation: Let the length and breadth be 7x and 5x respectively.
Then, P = 2(7x + 5x) = 432â‡’ x = 18
Area = 7 Ã— 18 Ã— 5 Ã— 18 = 11340 sq.m.
Answer D
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
A.28 sec
B.16 sec
C.21 sec
D.11 sec
Answer: B.16 sec
Explanation: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35
= 16 sec
Answer:B
Question: The number of boxes in a warehouse can be divided evenly into 9 equal shipments by boat or 24 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
A. 27
B. 33
C. 72
D. 81
Answer: C. 72
Explanation: Answer is the LCM of 9 and 24
= 72
Answer C
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre
A.22488
B.16500
C.27889
D.23778
Answer: B.16500
Explanation: Explanation:
Area = 5.5 × 3.75 sq. metre.
Cost for 1 sq. metre. = Rs. 800
Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500
Answer: B) Rs.16500
Question: Of the 55 cars on a car lot, 40 have air-conditioning, 25 have power windows, and 12 have both air-conditioning and power windows. How many of the cars on the lot have neither air-conditioning nor power windows?
A. 15
B. 8
C. 10
D. 2
Answer: D. 2
Explanation: Total -Neither = All Air Conditioning + All Power Windows - Both
or 55 - Neither = 40 + 25 -12 = 53.
=> Neither = 2, hence D.
Answer : D
Question: In a tree, 3/5 of the birds are parrots while the rest are toucans. If 1/3 of the parrots are female and 3/4 of the toucans are female, what fraction of the birds in the tree are male?
A.1/2
B.2/5
C.3/5
D.3/10
Answer: A.1/2
Explanation: The fraction of birds that are male parrots is (2/3)(3/5)=2/5.
The fraction of birds that are male toucans is (1/4)(2/5)=1/10.
The total fraction of male birds is 2/5 + 1/10 = 1/2.
The answer is A.
Question: there is four different color cloth strip.how many different flag you can make using these strip?if you want to to make multicolour flag then you must use different strip horizontally.
A.50
B.64
C.48
D.120
Answer: B.64
Explanation: total no.of flag using all four strip=4P4=4!=24
total no. of flag using three strip=4P3=4!/1!=24
total no. of flag using two strip=4P2=4!/2!=12
total no. of flag using one strip=4P1=4!/3!=4
total no. of flag=24+24+12+4=64
answer B
Question: The difference between the local value and the face value of 7 in the numerical 32675149 is
A.75142
B.64851
C.5149
D.69993
Answer: D.69993
Explanation: =(local value of 7)-(Face value of 7)
=(70000-7)
=69993
Answer is D
Question: 7, 35, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence?
A.398
B.259
C.322
D.686
Answer: A.398
Explanation: Simplifying the question into easier words we just need to find which of the numbers is not divisible by 7
clearly the answer is 398 because if we divide 398 by 7 we get a remainder of 56.85
Correct answer - A
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
A.15%
B.16.66%
C.17.8%
D.19%
Answer: B.16.66%
Explanation: Increase = (10/60)*100 = (1/6)*100 = 16.66%.
B
Question: A pipe fills a pool in 3.5 hours. If the flow of water is changed so that the pipe's rate is halved, then how long will it take for the pipe to fill 2/3 of the pool?
A.4 hours and 40 minutes
B.3 hours and 10 minutes
C.2 hours and 20 minutes
D.7 hours
Answer: A.4 hours and 40 minutes
Explanation: A pipe takes 3.5 hrs to fill the tank. So when rate is reduced to half it will take 7 hrs to fill the tank.
so time time taken to fill 2/3rd tank capacity is given by
7*2/3=4 hrs 40min
ANSWER:A
Question: A certain sum of money amounts to Rs 1008 in 2 years and to Rs 1164 in 3 years. Find the sum and the rate of interest.
A.14%
B.13%
C.12%
D.19%
Answer: B.13%
Explanation: Explanation:
S.I. for 1 ½ years = Rs (1164 - 1008) = Rs 156 .
S.I. for 2 years = Rs (156 x x 2)= Rs 208.
Principal = Rs (1008 - 208) = Rs 800.
Now, P = 800, T= 2 and S.I. = 208.
Rate = (100 x S.I.) / (P x T) = [ (100 x 208)/(800 x 2)]% = 13%
Answer: B
Question: A Train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long. Find the speed of the train.
A.110 kmph
B.120 kmph
C.108 kmph
D.100 kmph
Answer: C.108 kmph
Explanation: In 10s the train crosses the pole and in 30 sec the train crosses one more stationary train
In 20 sec the train travels a distance of 600 mtrs
Speed = 600/20 = 30 m/s = 30 (3600/1000) = 30 * 18/5 = 108 kmph
Answer: C
Question: By investing in 1623% stock at 64, one earns Rs. 1600. The investment made is
A.s. 9600
B.s. 7500
C.s. 5640
D.s. 6144
Answer: D.s. 6144
Explanation: Explanation :
Market Value = Rs.64
Face Value is not given and hence take it as Rs.100
16 2/3% of the face value = 50/3
ie, to earn 50/3, investment = Rs.64
Hence, to earn Rs.1600, investment needed = 64×3×1600/50=6144
Answer : Option D
Question: Praveen starts business with Rs.3500 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
A.Rs.7500
B.Rs.8000
C.Rs.8500
D.Rs.9000
Answer: D.Rs.9000
Explanation: Let Hari’s capital be Rs. x. Then, 3500 * 12/7x = 2/3
=> 14x = 126000
=> x = 9000.
ANSWER:D
Question: Which of the following values is the greatest
A.a) 11% of 89
B.b) 22% of 78
C.c) 33% of 67
D.d) 55% of 56
Answer: D.d) 55% of 56
Explanation: Are you sure that you checked the answer key correctly? I just signed up forVeritas(haven't started yet, not until March) but I have access to the materials and the answer key I'm looking at says D
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8400. If his salary for the month of May is Rs.6500, find his salary for the month of January?
A.2177
B.2876
C.4900
D.2981
Answer: C.4900
Explanation: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000 = 32000 ----(1)
Sum of the salaries of the person for the months of February, March, April and May = 4 * 8400 = 33600 ----(2)
(2)-(1) i.e. May - Jan = 1600
Salary of May is Rs.6500
Salary of January = Rs.4900.Answer: C
Question: A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 108) square inches. What is the perimeter of the photograph, in inches?
A.34
B.36
C.16
D.40
Answer: C.16
Explanation: Let Length and Breadth of photograph be L and B respectively.
Perimeter is given by 2*(L+b) -----(1)
According to the question:
(L+2)(B+2) = m ----(2)
and
(L+8)(B+8) = m + 108 ---------> (L+8)(B+8) - 108 = m ------(3)
Equating (2) and (3)
(L+2)(B+2) = (L+8)(B+8) - 108
LB + 2L + 2B + 4 = LB + 8L + 8B +64 -108
Simplify
6L + 6B = 48 ------> 2(L+B) = 16 (Check eq (1))
Answer is C
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.40 per kg. What will be his gain percent?
A.8 1/7 %
B.2 1/3 %
C.6 2/3 %
D.8 1/8 %
Answer: C.6 2/3 %
Explanation: C.P. of 1 kg = 420/70 = Rs. 6
S.P. of 1 kg = Rs. 6.40
Gain % = 0.40/6 * 100 = 20/3
= 6 2/3 %
Answer:C
Question: At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
A.60%
B.80%
C.100%
D.120%
Answer: B.80%
Explanation: Explanation:
A B C D
90 100 80 100
A D
90 ----- 100
360 ------ ? = 400
500 ------ 400
100 ------- ? => 80%
B)
Question: Which is better investment: 11% stock at 143 or 9 3/4% stock at 117?
A.11% stock at 143
B.9 3/4% stock at 117
C.Both are equally good
D.Cannot be compared, as the total amount of investment is not given
Answer: B.9 3/4% stock at 117
Explanation: Let investment in each case be Rs. (143 x 117).
Income in 1st case = Rs.11 x 143 x 117/143	= Rs. 1287.
Income in 2nd case = Rs.39 x 143 x 117/(4*117)	= Rs. 1394.25
Clearly, 9 3/4% stock at 117 is better.
ANSWER:B
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
A.3 4/9 days
B.8 4/9 days
C.9 3/8 days
D.6 3/8 days
Answer: C.9 3/8 days
Explanation: 1/15 + 1/25 = 8/75
75/8 = 9 3/8 days
ANSWER:C
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
A.6029
B.6299
C.6000
D.6018
Answer: C.6000
Explanation: x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 18000 = 6000
Answer:C
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 7 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
A.s.4538
B.s.6342
C.s.4518
D.s.4530
Answer: B.s.6342
Explanation: Area of the four walls = 2h(l + b)
Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 7 = Rs.6342
Answer: B
Question: What is the probability that you will get a sum of 8 when you throw three dice simultaneously?
A.21/6^3.
B.23/6^3.
C.25/6^3.
D.27/6^3.
Answer: A.21/6^3.
Explanation: This sum of 8 can occur in the following cases:
1-1-6 --> 3!/2!=3 ways;
1-2-5 --> 3!=6 ways;
1-3-4 --> 3!=6 ways;
2-2-4 --> 3!/2!=3 ways;
2-3-3 --> 3!/2!=3 ways.
Total of 3+6+6+3+3=21 ways.
Now, since the total number of outcomes is 6^3, then the probability is 21/6^3.
ANSWER:A
Question: In a certain code language, “ORANGE” is written as “NTETOO”. How would “BLACK” be written in that language ?
A.ANEIS
B.UGDII
C.GIKHK
D.HOUH
Answer: A.ANEIS
Explanation: Explanation:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
letter position
ANSWER: A
Question: If 50% of x equals the sum of y and 20, then what is the value of x–2y?
A.20
B.40
C.60
D.80
Answer: B.40
Explanation: Explanation :
Given, 50% of x equals the sum of y and 20.
=>(50/100)×x=y+20.
=>x/2=y+20.
=>x=2y+40.
=>x–2y= 40.
Answer : B
Question: The speed at which a man can row a boat in still water is 6.5 kmph. If he rows downstream, where the speed of current is 2.5 kmph, what time will he take to cover 90 metres?
A.90 seconds
B.36seconds
C.26 seconds
D.18 seconds
Answer: B.36seconds
Explanation: Speed of the boat downstream = 6.5 + 2.5
= 9 kmph
= 9 * 5/18 = 2.5 m/s
Hence time taken to cover 90m =90/2.5
= 36 seconds.
Answer:B