RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: How many keystrokes are needed to type the numbers from 1 to 500?
A.1156
B.1392
C.1480
D.1562
Answer: B.1392
Explanation: There are 9 one-digit numbers from 1 to 9.
There are 90 two-digit numbers from 10 to 99.
There are 401 three-digit numbers from 100 to 500.
9 + 90(2) + 401(3) = 1392
The answer is B.
Question: A shop sells chocolates It is used to sell chocolates for Rs.2 each but there were no sales at that price.When it reduced the price all the chocolates sold out enabling the shopkeeper to realize Rs 164.90 from the chocolates alone If the new price was not less than half the original price quoted How many chocolates were sold?
A.1.9
B.1.7
C.1.2
D.1.5
Answer: B.1.7
Explanation: 16490 = 2 × 5 × 17 × 97
Now now chocolate price should be greater than 1 and less than 2. So 2 x 5 x 17 = 170
So Total chocolates sold = 97 and New chocolate price = Rs.1.7
Answer:	B
Question: A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
A.31 inches
B.32 inches
C.33 inches
D.34 inches
Answer: A.31 inches
Explanation: 7 ft 9 in is 84 + 9 = 93 inches. so 93/3 = 31 inches or 2 ft. 7 inch.
ANSWER:A
Question: Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125
A.12
B.9
C.14
D.7
Answer: B.9
Explanation: (3*5)*(2*2*2*2*2)*(5*5)*(2*11)*(2*2*2*2*5)*(5*5*3)*(2*7*7)*(2*2*2*2*7)*(5*5*5)
there are 9 (5*2) pairs which gives zero
so.no of zeros 9
ANSWER:B
Question: The diagonals of a rhombus are 18 cm and 22 cm. Find its area?
A.277
B.266
C.198
D.288
Answer: C.198
Explanation: 1/2 * 18 * 22 = 198
Answer: C
Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
A.22 1/8 %
B.22 3/2 %
C.28 1/2 %
D.22 1/2 %
Answer: D.22 1/2 %
Explanation: 9 = (1*40*R)/100
R = 22 1/2 %
Answer:D
Question: A and B invests Rs.6000 and Rs.12000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
A.32:99
B.8:21
C.32:45
D.34:89
Answer: B.8:21
Explanation: A : B
(6000*4)+(3000*8) : (12000*6)+(9000*6)
48000 : 126000
8 : 21
Answer:B
Question: A train covers a distance of 10km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
A.m
B.m
C.m
D.m
Answer: C.m
Explanation: Speed = (10/10 * 60) km/hr
= (60 * 5/18) m/sec = 50/3 m/sec.
Length of the train = 50/3 * 6
= 100 m.
Answer:C
Question: The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive?
A.2.5
B.3.0
C.3.25
D.3.75
Answer: C.3.25
Explanation: Total Rent = Rent for the first 0.25 mile + Rent After 0.25 mile
Rent for the first 0.25 mile = 34 cents
Rent After 0.25 mile = [6 cent/(1/5 mile)]*(x - 0.25) = 30(x-0.25)
Therefore, Total Rent = 35 + 30(x - 0.25)
124 = 34 + 30(x - 0.25)
90 = 30(x - 0.25)
3 = x - 0.25
x = 3 + 0.25 = $3.25 C
Question: A question paper consists of three sections 4,5 and 6 questions respectively. Attempting one question from each section is compulsory but a candidate need not attempt all the questions. In how many ways can a candidate attempt the questions?
A.209
B.(4!-1)*(5!-1)*(6!-1)
C.119
D.29295
Answer: D.29295
Explanation: Solution:
At least 1 question from each section is compulsory, so from the 1st section the candidate can attempt 1 or 2 or 3 or 4 questions.
In each section each question can be dealt with in 2 ways, i.e. either he attempts it or leaves it.
So far 4 question there are 2 *2 *2 *2 ways to attempt. As he has to attempt at least 1 question, the total number of ways in which he can attempt questions from 1st section is 24−1.
Similarly for the 2nd section there are 25−1 ways in which he can attempt and for the 3rd section there are 26−1 ways.
The ways in which the attempts one or more questions in any section is independent of the number of ways in which he attempts one or more questions from the other sections.
Thus, total number of ways
Answer: Option D
Question: 10 women can complete a work in 9 days and 10 children take 12 days to complete the work. How many days will 6 women and 7 children take to complete the work?
A.4
B.5
C.7
D.8
Answer: D.8
Explanation: 1 women's 1 day work = 1/90
1 child's 1 day work = 1/120
(6 women + 7 children)'s 1 day work
= (6/90 + 7/120) = 1/8
6 women and 7 children will complete the work in 8 days.
D
Question: At the end of a business conference the nine people present all shake hands with each other once. How many handshakes will there be altogether ?
A.20
B.45
C.36
D.90
Answer: C.36
Explanation: number of handshakes = 9C2= 9*8/2 = 36
ANSWER:C
Question: What is the are of an equilateral triangle of side 16 cm?
A.64√6 cm2
B.64√3 cm2
C.64√9 cm2
D.34√3 cm2
Answer: D.34√3 cm2
Explanation: Area of an equilateral triangle = √3/4 S2
If S = 16, Area of triangle = √3/4 * 16 * 16
= 64√3 cm2;
Answer: D
Question: Each of the following equations W has at least one solution EXCEPT
A.W=–2^n = (–2)^-n
B.2^-n = (–2)^n
C.2^n = (–2)^-n
D.(–2)^n = –2^n
Answer: A.W=–2^n = (–2)^-n
Explanation: While it is possible to reason out which of these choices must not work, we may not have time or the confidence to do so. However, this problem has variable in its answer choice, and relatively simple math. Therefore, an easy alternative is picking numbers.
Since we're dealing with exponents, we want to keep things as easy as possible. Hence, we'll start with the easiest exponent possible: n = 1. A, B, and C are not solved (x^-n = 1/(x^n), so we're comparing integers to fractions), but choices D and E both end up valid, eliminating them from contention.
In the process of doing this, however, we've uncovered a major clue to our next step: A, B, and C, all compared integers to fractions, and the only integer equal to it's reciprocal is 1, which is equal to 1/1. This, in turn, tells us the we need to pick n = 0. Remember, for all non-zero x, x^0 = 1.
If we plug n = 0 into choices B and C, we end up with 1 = 1 both times. Choice A, however, results in the false 1 = -1. Thus, we conclude that the first choice has no valid solutions, and is therefore the correct answer.
Question: If the population of a certain country increases at the rate of one person every 40 seconds, by how many persons does the population increase in 1 hour?
A.90
B.120
C.150
D.180
Answer: A.90
Explanation: Answer = 1.5 * 60 = 90
Answer is A
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
A.288
B.180
C.288
D.277
Answer: B.180
Explanation: Length of the train be ‘X’
X + 120/15 = X + 180/18
6X + 720 = 5X + 900
X = 180m .Answer: B
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
A.12.8 sec
B.12.1 sec
C.12.2 sec
D.12.6 sec
Answer: B.12.1 sec
Explanation: Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 132 = 242 m.
Required time = 242/20 = 12.1 sec.
Answer: B
Question: The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 60 kmph its consumption is 1 litre per hour. if each litre costs $60 and other expenses per hous is $ 60, then what would be the minimum expenditure required to cover a distance of 600 Km?
A.120
B.1250
C.1200
D.1100
Answer: C.1200
Explanation: 60 kmph consumption is 1 lt/hr
so 600 km will take 10 hrs and the consumption is 10 lt for entire distance.
1 lt costs $60
so 10 lt costs $600
extra expenses for 1 hr - $60
10 hrs - $600
total expense - $600 + $600 = $1200
Answer : C
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having 0 woman in committee ?
A.7/36
B.9/144
C.1/36
D.1/18
Answer: C.1/36
Explanation: We may have (3 men and 2 women) = (7C3 x 6C2) = 525
or (4 men and 1 woman) = (7C4 x 6C1) = 210
or (5 men only) = (7C5) = 21
Required ways = 756
Probability of having 0 woman in committee = 21 / 756 =1/36
ans - C
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.?
A.20/69
B.20/63
C.20/65
D.20/61
Answer: B.20/63
Explanation: Required probability = (10 * 4)/126 = 20/63.Answer: B
Question: If |w|=−w, which of the following must be true?
A.x≥0
B.w≤0
C.x2>x
D.x3<0
Answer: B.w≤0
Explanation: |w| =-w means absolute value of w is equal to negative of w. Since absolute value cannot be negative hence negative of w should result in a non negative number. It means w is a non positive number i.e. w<0. Answer is B
Question: Two numbers are less than third number by 30% and 37% respectively. How much percent is the second number less than by the first
A.8%
B.9%
C.10%
D.11%
Answer: C.10%
Explanation: Explanation:
Let the third number is x.
then first number = (100-30)% of x
= 70% of x = 7x/10
Second number is (63x/100)
Difference = 7x/10 - 63x/100 = 7x/10
So required percentage is, difference is what percent of first number
=> (7x/100 * 10/7x * 100 )% = 10%Explanation:
Let the third number is x.
then first number = (100-30)% of x
= 70% of x = 7x/10
Second number is (63x/100)
Difference = 7x/10 - 63x/100 = 7x/10
So required percentage is, difference is what percent of first number
=> (7x/100 * 10/7x * 100 )% = 10%
Option C
Question: How many numbers from 39 to 79 are exactly divisible by 11?
A.5
B.7
C.4
D.11
Answer: C.4
Explanation: 39/11 = 1 and 79/11 = 7 ==> 7 - 3 = 4 Numbers
Answer : C
Question: It is found that the volume of a cube is numerically equal to its surface area. Then the measure of its edge in meters is:
A.4
B.6
C.8
D.9
Answer: B.6
Explanation: if edge of cube = a
volume of cube = a^3
surface area = 6(a^2)
then
a^3 = 6(a^2)
a = 6
ANSWER:B
Question: if there are 30 cans out of them one is poisned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisned can?
A.3
B.2
C.6
D.1
Answer: D.1
Explanation: as we know only one can is poisoned so try mice every can n notice the time
for ex suppose for ist can time was 12:05 then after 5 min test for can 2 means 12:10..n if 1st can contain poision then according to time it can be cleared..
ANSWER:D
Question: How long does a train 165 meters long running at the rate of 72 kmph take to cross a bridge 660 meters in length?
A.28
B.41.25
C.55
D.18
Answer: B.41.25
Explanation: T = (660 + 165)/72 * 18/5
T = 41.25
Answer: B
Question: A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 15%. What was its profit on the items sold in February?
A.27.5%
B.30%
C.35%
D.37.5%
Answer: A.27.5%
Explanation: Assume the total price = 100x
Price after 20% markup = 120x
Price after 25%further markup = 1.25*120x = 150x
Price after the discount = 0.85*150x = 127.5x
Hence total profit = 27.5%
Option A
Question: Half of 2 percent written as decimal is
A.0.01
B.0.5
C.0.05
D.0.005
Answer: A.0.01
Explanation: Explanation:
It will be 1/2(2%) = 1/2(2/100) = 2/200 = 0.01
Option A
Question: If books bought at prices ranging from Rs. 98 to Rs. 195 are sold at prices ranging from Rs. 120 to Rs 215, what is the greatest possible profit that might be made in selling 13 books ?
A.Rs. 1650
B.Rs. 3000
C.Rs. 1521
D.Rs. 1400
Answer: C.Rs. 1521
Explanation: The greatest profit is possible only if the cost price of the books are minimum and selling prices are maximum.
Let lowest cost price of the 13 books = 98*13 = Rs. 1,274
Maximum selling price of 13 books = 215 *13 = Rs. 2,795
So, maximum profit = 2795 - 1274 = Rs. 1,521
ANSWER : OPTION C
Question: Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 60kmph, find the rate at which the train B runs.
A.40
B.90
C.120
D.80
Answer: B.90
Explanation: If two objects A and B start simultaneously from opposite points and, after meeting, reach their destinations in ‘a’ and ‘b’ hours respectively (i.e. A takes ‘a hrs’ to travel from the meeting point to his destination and B takes ‘b hrs’ to travel from the meeting point to his destination), then the ratio of their speeds is given by:
Sa/Sb = √(b/a)
i.e. Ratio of speeds is given by the square root of the inverse ratio of time taken.
Sa/Sb = √(4/9) = 2/3
This gives us that the ratio of the speed of A : speed of B as 2:3.
Since speed of A is 60 kmph, speed of B must be 60*(3/2) = 90 kmph
Answer B
Question: I bought three toys for my triplet boys (one for each). I placed the toys in the dark store. One by one each boy went to the store and pick the toy. What is the probability that no boy will choose his own toy?
A.1/3
B.2/3
C.3/3
D.4/3
Answer: A.1/3
Explanation: Solution:
1/3
Assuming T1 is the Toy for brother1, T2 is the toy for brother2 and T3 is the toy for brother3.
Following are the possible cases for toys distribution:
Boy1 Boy2 Boy3
T1 T2 T3
T1 T3 T2
T2 T1 T3
T2 T3 T1 .... (A)
T3 T1 T2 .... (B)
T3 T2 T1
In both steps (A) & (B), no one gets the correct toy.
Therefore probability that none brother can get the own toy is 2/6 = 1/3
Answer A
Question: A man, a woman and a boy can complete a job in 3 days, 4 days and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4th of a day?
A.10
B.41
C.31
D.21
Answer: B.41
Explanation: Explanation:
1 man’s 1 day’s work = 1/3, ¼ day’s work = 1/3 × ¼ = 1/12
1 woman’s 1 day’s work = ¼, ¼ day’s work = ¼ × ¼ = 1/16
1 boy’s 1 day’s work = 1/12, ¼ day’s work = 1/12 × ¼ = 1/48
Let ‘x’ be the No. of boys required.
Then, (1 man + 1 woman + x boy)’s ¼ day’s work 1/12 + 1/16 + x/48 = 1
= (4 + 3 + x)/48 = 1
i.e. 7 + x= 48 and x = 41.
Answer: Option B
Question: At present, the ratio between the ages of Amit and Dhiraj is 5 : 4. After 6 years, Amit’s age will be 26 years. What is the age of Dhiraj at present?
A.16
B.77
C.566
D.197
Answer: A.16
Explanation: Explanation:
Let the present ages of Amit and Dhiraj be 5x years and 4x years respectively. Then,
5x + 6 = 26
5x = 20
x = 4
Dhiraj’s age = 4x = 16 years
ANSWER: A
Question: A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
A.9:6
B.9:8
C.9:1
D.9:9
Answer: B.9:8
Explanation: (3*6 + 6*6): (4*12)
54:48 => 9:8.Answer:B
Question: If x-y=10, which of the following must be true?
I. Both x and y are positive
II. If x is negative, y must be negative
III.If x is positive, y must be positive
A.I only
B.II only
C.III only
D.I and II
Answer: B.II only
Explanation: The best way to approach such questions is to plug in values for x and y
Given: x-y=10
I. Both x and y are positive:
Let x=12 and y=2
x-y=10
But,
Let x=6 and y=-4
x-y=8
Therefore, NOT TRUE
III. If x is positive, y must be positive
Let x=12 and y=2
x-y=10
But,
Let x = 6 and y=-4
x-y=10
Therefore, NOT TRUE
II. If x is negative, y must be negative
If x is negative, for the expression x-y=8 to be true, y must be a -ve number. Otherwise, the sum of two negative numbers will yield another negative number!
Therefore, TRUE
Ans: 'B'
Question: If each side of a square is increased by 25%, find the percentage change in its area?
A.65.25
B.56.25
C.65
D.56
Answer: B.56.25
Explanation: let each side of the square be a , then area = a x a
New side = 125a / 100 = 5a / 4
New area =(5a x 5a) / (4 x 4) = (25a²/16)
increased area== (25a²/16) - a²
Increase %= [(9a²/16 ) x (1/a² ) x 100]% = 56.25%
Answer: B
Question: If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:
A.12
B.28
C.160
D.180
Answer: C.160
Explanation: Let the numbers be x and y.
Then, x + y = 20 and x - y = 8
x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
ANSWER:C
Question: If $500 is deposited into a savings account at an annual interest rate of 5% that compounds monthly, what is the value of the investment after 10 years?
A.$750.00
B.$823.50
C.$973.25
D.$1000.25
Answer: B.$823.50
Explanation: ROI = 5% per annum compounded Monthly
Tenure, n = 10 years = 120 month
Principal = $500
5% per annum compounded monthly will be a little more than 5% at end of an year compounded anually = 6% per annum (approx)
in 10 years the among simple rate will increase by 60% but at coumpound rate the amount wil increase more by 60%
This question can only be solved by approximation
60% of $500 = $300
i.e. amount after 10 years will be a little more than 500+300 = $800
i.e. B option seems the closest possible answer
Answer: option B
Question: Two jars contain milk and water in the ratio 5: 4 and 2: 1 regpectively. What volume should be taken out from the first jar if volumes have to be taken out from both jars so as to fill up a third 30 l jar with milk to water in the ratio 1: 1 ?
A.7.5 l
B.15 l
C.22.5 l
D.It is impossible
Answer: D.It is impossible
Explanation: In both jars concentration of milk is more than 50%.
Therefore, in jar three concentration of milk cannot be 50%.
Hence, we cannot decide the volumes
ANSWER:D
Question: A clock shows the time as 9 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 5 p.m.?
A.30 min
B.35 min
C.45 min
D.40 min
Answer: D.40 min
Explanation: there are 8 hours in between 9 a.m. to 5 p.m.
8*5=40 minutes.
ANSWER:D
Question: At a Supermarket a certain item has increased from 72 cents per pound to 78 cents per pound. What is the % increase in the cost of item?
A.6.33%
B.7.22%
C.8.33%
D.8%
Answer: C.8.33%
Explanation: Percent change = (New Value- Old Value )/ old value x 100
=((78-72)/72)x100
= (6/72)*100
= 8.33%
There was an 8.33% increase in the cost of item
answer -C = 8.33%
Question: How many positive 5-digit integers have the odd sum E of their digits?
A.9*10^2
B.9*10^3
C.10^4
D.45*10^3
Answer: D.45*10^3
Explanation: We are looking at numbers between 10000 and 99999 both inclusive.
There are 90000 numbers.
Now for
10000 : sum of digits is odd;
10001 :sum of digits is even;
10002 : sum of digits is odd ; so on and so forth. So every alternate number is such that the sum of digit is odd.
(Exception for the above statement :
When it is 10009 the E sum is even and for 10010 again the sum is even; But if you look at 10019 :sum is odd; 10020 : sum is odd
and this pattern continues so basically the number of odd sum of digits and even sum of digits are equal)
This means exactly half of the numbers will have odd sum of their digits. i.e 45000
Answer :D
Question: B completes a work in 9 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.4.73 days
C.5.75 days
D.6.75 days
Answer: B.4.73 days
Explanation: 1/9 + 1/10 = 19/90
90/19 = 4.73 days
ANSWER: B
Question: A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
A.1/3
B.1/4
C.1/5
D.1/7
Answer: C.1/5
Explanation: Explanation:
Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water.
Quantity of water in new mixture =(3-3x/8+x)litres
Quantity of syrup in new mixture =(5-5x/8)litres
(3 -	3x/8 +x)=(5 -	5x/8)
=>5x + 24 = 40 - 5x
=>10x = 16
=>x =	8/5
So, part of the mixture replaced =(8/5 x	1/8)=1/5.
ANSWER IS C
Question: A car is running at a speed of 96kmph. What distance will it cover in 14sec?
A.378m
B.350m
C.380m
D.200m
Answer: A.378m
Explanation: Speed = 96kmph = 96*5/18 = 27 m/s
Distance covered in 14sec = 27*14 = 378m
Answer is A
Question: The average of 6 observations is 11. A new observation is included and the new average is decreased by 1. The seventh observation is?
A.4
B.3
C.5
D.6
Answer: A.4
Explanation: Let seventh observation = X.
Then, according to the question we have
=> (66 + X) / 7 = 10
=> X = 4.
Hence, the seventh observation is 4.
ANSWER:A
Question: The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is :
A.4.37%
B.5%
C.6%
D.8.75%
Answer: B.5%
Explanation: Solution
Increase in 10 year= (262500 - 175000) = 87500.
Increase% =( f87500/175000x 100 )% = 50%
∴ Required average = ( 50/10 )% = 5%
Answer B
Question: If a + b = y and a - b = z , then 3ab =
can someone explain!
A.(3y^2 - 3z^2)/4
B.(3z^2 - 3y^2)/4
C.3y+3z/2
D.3y - 3z/2
Answer: A.(3y^2 - 3z^2)/4
Explanation: plugging numbers is quite fast in this case:
Let
a=1
b=2
Then; y= 1+2=> 3 and z= 1-2=> -1
Question asks 3ab=.........
As our number 3ab= 3*1*2=6
now plug the value of y and z in the answer choices. Option A gives 6 and that is the number we need.
Hence: Ans is A.
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
A.12
B.18
C.20
D.24
Answer: C.20
Explanation: 2:3
2x + 10 : 3x + 10 = 3 : 4
4[2x + 10] = 3[3x + 10]
8x + 40 = 9x + 30
9x - 8x = 40 - 30
x = 10
Then smallest number is = 2
2x = 20
C
Question: A batsman in his 12th innings makes a score of 65 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’?
A.42
B.43
C.44
D.45
Answer: B.43
Explanation: Let ‘x’ be the average score after 12 th innings
⇒ 12x = 11 × (x – 2) + 65
∴ x = 43
Answer B
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 55 kg. What might be the weight of the new person?
A.70kg
B.75kg
C.80kg
D.85kg
Answer: B.75kg
Explanation: Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (55 + 20) kg = 75 kg.
B)
Question: Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
A.10
B.8
C.6
D.4
Answer: B.8
Explanation: Explanation:
Amy can travel clockwise or anticlockwise on the diagram.
Clockwise, she has no choice of route from A to B, a choice of one out of two routes from B to C, and a choice of one out of two routes from C back to A. This gives four possible routes.
Similarly, anticlockwise she has four different routes.
Total routes = 8
Answer: B
Question: Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 25 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
A.80 lakh
B.50 lakh
C.40 lakh
D.60 lakh
Answer: C.40 lakh
Explanation: Let the incomes of two companies A and B be 5x and 8x respectively.
From the question,
5x+25/8x=5/4 ⇒ 20x + 100 = 40x
∴ x = 5
∴ Income of company B = 8x = 40 lakh
Answer C
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
A.0 sq m
B.2 sq m
C.9 sq m
D.20 sq m
Answer: A.0 sq m
Explanation: S = (1 + 2 + 3)/2 = 3
=> No triangle exists
Answer: A
Question: P and Q started a business investing Rs. 85,000 and Rs. 30,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
A.17:6
B.17:0
C.17:4
D.17:2
Answer: A.17:6
Explanation: P:Q = 85000 : 30000
= 17:6.
Answer: A
Question: A and B are playing mathematical puzzles. A asks B "which whole numbers, greater than one, can divide all the nine three digit numbers 111,222,333,444,555,666, 777,888 and 999?"
B immediately gave the desired answer. It was :-
A.3, 37 and 119
B.3, 37 and 111
C.9, 37 and 111
D.3, 9 and 37
Answer: B.3, 37 and 111
Explanation: Explanation :
Each of the number can be written as a multiple of 111. And,
The factors of 111 are 3 and 37.
Thus, the desired answer is 3, 37 and 111.
Answer : B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
A.277 Sec
B.190 Sec
C.187 Sec
D.286 Sec
Answer: B.190 Sec
Explanation: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec
Answer:B