RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: John can hit a target 3times in 6shots, Karan can hit the target 2 times in 6 shots & Ashwini can hit 4 times in 4 shots. What is the probability that at least 2 shots hit the target ?
A.1/3
B.2/5
C.2/3
D.3/5
Answer: C.2/3
Explanation: Ashwini hits the target definitely, hence required probability that atleast 2 shots hit the target is given by
Karan hits tha target and Raja not hit the target.
or
Karan does not hit the target and Raja hits the target.
or.
Karan hits the target and Raja hits the target
= 2/6 x 3/6 + 4/6 x 3/6 + 2/6 x 3/6
= 24/36 = 2/3
C
Question: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of w square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
A.(5,280 mt) / 12 w
B.(5,280 pt) / 12m
C.(5,280 pmt) /12
D.(5,280)(12m) / pt
Answer: A.(5,280 mt) / 12 w
Explanation: Given that: 1 gallon of paint covers an area ofwsquare feet. Question:how many gallonsof paint will be needed ...
In any case you will have:(total area in square feet)/(gallons per feet)=(total area in square feet)/w, so w must be in the denominator: eliminate all but A and D.
Now, lets see where should be t: (area in square feet)=(width in feet)*(length in feet) --> width=tinchesas1 feet=12 inchesthent inches=t/12 feet, so (area in square feet)=(t/12) * (length in feet), so t must be in the nominator: only A is left.
Answer: A.
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
A.297
B.879
C.342
D.762
Answer: C.342
Explanation: 400*(90/100)*(95/100)
= 342
Answer: C
Question: The banker's discount on Rs.1250 due a certain time hence is Rs.125. Find the true discount and the banker's gain.
A.11
B.15
C.18
D.21
Answer: A.11
Explanation: Solution
Sum	=B.D x T.D/ B.D - T.D
= B.D x T.D/ B.G
T.D / B. G	=Sum / B.D
= 1250 / 125
= 10 / 1
If B.D is Rs. 11,T.D= Rs.10.
If B.D is Rs.125,
T.D	= Rs.(10 / 11 x 125)
= Rs.114.
And, B.G	= Rs(125 - 114)
= Rs.11.
Answer A
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
A.287 cm2
B.887 cm2
C.384 cm2
D.268 cm2
Answer: C.384 cm2
Explanation: Area of a parallelogram = base * height
= 24 * 16
= 384 cm2
Answer: C
Question: A departmental store has 7 managers and 30 associates. The 7 managers have an average salary of $4200. The 30 associates have an average salary of $6,000. What is the average salary for the departmental store?
A.$5659.46
B.$5888.56
C.$5200.26
D.$5929.25
Answer: A.$5659.46
Explanation: Number of managers is 7
Their average salary is $4200
Number of associates is 30
Their average salary is $6000
Total salary of managers is 7*4200=$29,400
Total salary of associates is 30*6000=$180,000
Total salary for the departmental store is 180,000+29,400=209400
Average salary for the departmental store is 209400/7+30=5659.46
Answer is A
Question: If x > y and y > z, which of the following represents the greatest number Q?
A. x − z
B. x − y
C. y − x
D. z − y
Answer: A. x − z
Explanation: Because x>y>z
thus Q= x- z wil lbe greatest
Ans: A
Question: The tax on a commodity is diminished by 17% and its consumption increased by 15%. The effect on revenue is?
A.2%
B.8%
C.4.5%
D.6.5%
Answer: C.4.5%
Explanation: 100 * 100 = 10000
83 * 115 = 9545
-----------
10000-----------455
100-----------? => 4.55% decrease
Answer: C
Question: What is the sum Q of all 3 digit numbers that leave a remainder of '2' when divided by 3?
A.897
B.164,850
C.164,749
D.149,700
Answer: B.164,850
Explanation: The series is => 101+...998
Number of terms => 300
sum Q=> 300/2 * [101+998]
hence sum => 164850 i.e. option B
Question: Hari purchased 6 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
A.A)910
B.B)1065
C.C)1070
D.D)1075
Answer: A.A)910
Explanation: Cost of 6 kg grapes = 70 × 6 = 420.
Cost of 9 kg of mangoes = 55 × 9 = 490.
Total cost he has to pay = 420 + 490 = 910
A
Question: 4, 12, 48, 240, 1440,10080,80640, 725760(...)
A.7257600
B.10080
C.6200
D.10020
Answer: A.7257600
Explanation: Explanation :
Go on multiplying the given numbers by 3, 4, 5, 6, 7,8,9,10
Answer : Option A
Question: From a group of 3 CATS and 3 DOGS, 4 animals are to be randomly selected. What is the probability that equal numbers of cats and dogs will be selected?
A.1/5
B.2/5
C.4/5
D.3/5
Answer: D.3/5
Explanation: Using the first example, here is the probability of THAT EXACT sequence occurring:
CCDD = (3/6)(2/5)(3/4)(2/3) = 36/360 = 1/10
Each of the other 5 options will yield the exact SAME probability....
eg
CDCD = (3/6)(3/5)(2/4)(2/3) = 36/360 = 1/10
So we have 6 different options that each produce a 1/10 chance of occurring.
6(1/10) = 6/10 = 3/5
Final Answer:
D
Question: HDFC bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
A.1:5
B.625:3125
C.100:105
D.100^4:105^4
Answer: C.100:105
Explanation: Hi Bunuel,
Here is my approach: is this correct?
HDFC bank offers an interest of 5% per annum compounded annually on all its deposits.
Interest earned in 4 year= 10000(1+0.05)^4
Interest earned in 5 year= 10000(1+0.05)^5
Ratio= {10000(1.05)^4}/{10000(1.05^5)} =>1.05^4/1.05^5 =>1/1.05 Multiplied by 100 in both numerator and denominator gives 100:105
Hence Ans:C
Question: X, Y, and Z are consecutive numbers and X > Y > Z. Also, 2X + 3Y + 3Z = 5Y + 8. What is the value of Z?
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: If X, Y, and Z are consecutive numbers and X > Y > Z, then Y = Z+1 and X = Z+2.
2X + 3Y + 3Z = 5Y + 8
2Z+4+3Z+3+3Z = 5Z+5+8
3Z = 6
Z = 2
The answer is A.
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.248
B.289
C.240
D.242
Answer: C.240
Explanation: Speed = [54 * 5/18] m/sec
= 15 m/sec.
Length of the train
= (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 36
= 15
x + 300 = 540
x = 240 m.
Answer: C
Question: George does 3/5th of a piece of work in 9 days. He then calls in Paul , and they finish the work in 4 days. How long would Paul take to do the work by himself?
A.30
B.40
C.50
D.60
Answer: A.30
Explanation: 100% work will be done by George in 15 days
(1/15)9+(1/15+1/x)4=1
solving this eqn.
we get x=30
hence Paul take to do the work in 30 days
ANSWER:A
Question: mr. depak has $419,774 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: D.$4
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+1+9+7+7+4 = 32
If you add 4 , the number is divisible by 6 (32+ 4)
Correct Option : D
Question: In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
A.5409
B.54087
C.5400
D.546
Answer: C.5400
Explanation: 100x + 400 = 12(x – 5)
x = 50
100 * 50 + 400 = 5400
Answer: C
Question: Three grades of milk are 1 percent, 3 percent and 2 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
A.y + 3z
B.(y +z) / 4
C.2y + 3z
D.3y + z
Answer: D.3y + z
Explanation: Soln:
The resulting equation is
=> (.01x + .03y + .02z)/(x+y+z) = 1.5/100
=> x + 3y +2z = 1.5x + 1.5y + 1.5z
taking x to one side and y and z to other side we get
=> x = 3y + z
Ans is D
Question: Mrs. Rodger got a weekly raise of $165. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
A.$ 165.
B.$ 146
C.$ 147
D.$ 148
Answer: A.$ 165.
Explanation: Solution:
Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 165.
So after completing the 1st week she will get $ (x+165).
Similarly after completing the 2nd week she will get $ (x + 165) + $ 165.
= $ (x + 165 + 165)
= $ (x + 330)
So in this way end of every week her salary will increase by $ 165.
Answer A
Question: Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent K of the lights that are on are supposed to be off?
A.22(2/9)%
B.16(2/3)%
C.11(1/9)%
D.10%
Answer: D.10%
Explanation: Is the Answer D.
let me try..
Let the light which are supposed to be OFF = SO
Let the light which are supposed to be ON = SN
Let the light which are ACTUALLY OFF = AO
Let the light which are ACTUALLY ON = AN
Let the total no. of lights be 100,
So ACTUALLY ON lights = 80
And ACTUALLY OFF lights = 20
Also given >> forty percent of the lights that are supposed to off are actually on >>> (40/100)*SO are ACTUALLY ON
it means >>> (60/100)*SO are ACTUALLY OFF
Also given >> ten percent of the lights that are supposed to be on are actually off >>> (10/100)*SN are ACTUALLY OFF
it means >>> (90/100)*SN are ACTUALLY ON
So, Total ACTUALLY ON lights = (40/100)*SO + (90/100)*SN = 80
and Total ACTUALLY OFF lights = (60/100)*SO + (10/100)*SN = 80
From here we get SO = 20
we need to find: What percent of the lights that are on are supposed to be off >>> So light ACTUALLY ON are 80 and light which are ACTUALLY ON, which are supposed to be OFF = (40/100)*SO = 8.
So (8/80)*100 K= 10%.D
Question: The jogging track in a sports complex is 640 m in circumference. Lata and Geeta start from the same point and walk in opposite directions at 4.2 km/hr and 3.8 km/hr respectively. They will meet for the first time in?
A.2.9 min
B.3.9 min
C.4.2 min
D.4.8 min
Answer: D.4.8 min
Explanation: Clearly, the two will meet when they are 640 m apart.
To be (4.2 + 3.8) = 8.0 km apart, they take 1 hour.That is 60 min.
To be 640 m apart, they take
(640/8000 * 60) min
= 4.8 min.
Answer: D
Question: A man can row downstream at the rate of 12 Km/hr and upstream at 8 Km/hr. Find man's rate in still water and the rate of current?
A.9,6
B.6,3
C.9,3
D.10,2
Answer: D.10,2
Explanation: Explanation:
Rate of still water = 1/2 (12 + 8) = 10 Km/hr
Rate of current = 1/2 (12-8) = 2 Km/hr
Answer: Option D
Question: Which of the following CANNOT be a product of two distinct positive integers x and y?
A.x
B.y
C.3y + 2x
D.y - x
Answer: D.y - x
Explanation: In these questions it is best to take an example as if something is true for all positive integers than it as to be true for the smallest and the easiest integers to work with
take x = 1 and y = 2 and work with the options
xy = 2
A) x take x =2, y = 1
B) y take x = 1 y = 2
C) 3y + 2x Seems tricky, lets see other options and then come back to it.
D) y - x take y = 1 and x = 2 --> y - x = -1 .. How the hell can product of two positive integers be negative ?? or less than each of them?
E) yx Always true
You don't even have to worry what C is !
ans D
Question: How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 15 inches than that of a rectangular sheet of paper measuring 7.5 inches by 11 inches?
A.50%
B.87%
C.100%
D.187%
Answer: C.100%
Explanation: Let's just look at the dimensions (no calculation needed).
With dimension 11 the same, the other dimension 15 is twice 7.5
Then the area will be double which means 100% greater.
The answer is C.
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face?
A.2/113
B.1/215
C.1/216
D.3/113
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: Two trains 190 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
A.10.7
B.10.9
C.10.6
D.12.6
Answer: D.12.6
Explanation: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 190 + 160 = 350 m.
Required time = 350 * 9/250
= 12.6 sec.
Answer:D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 900 grams per kg, what is his percent?
A.11.11%
B.25%
C.22%
D.29%
Answer: A.11.11%
Explanation: 900 --- 100
100 --- ? => 11.11%
Answer:A
Question: After running a series of television advertisements, a leading beverage producer saw its sales increase by 50% to $1 million dollars per month. Prior to the advertising campaign, about how many dollars in sales did the company average per day?
A.$1.25 million
B.$22,000
C.$750,000
D.$27,000
Answer: B.$22,000
Explanation: Let sales in previous month = X
1.5 X=1,000,000
3/2 X= 1,000,000 ..........> X=666,666
sales per day= 666,666/30= less than 25,000 so closest number is 22,000
Answer: B
Question: A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?
A.4
B.8
C.12
D.16
Answer: D.16
Explanation: There are 4 flavors of pizza and each can be:
1. Without cheese and mushrooms;
2. With cheese;
3. With mushrooms;
4. With cheese and mushrooms.
So, the total number of pizza varieties is 4*4 = 16.
Answer: D.
Question: A feed shop sells two varieties of birdseed: Product A, which is 40% millet and 60% sunflower, and Product B, which is 65% millet and 35% safflower. If a customer purchases a mix of the both types of birdseed that is 50% millet, what percent of the mix is Product A?
A.50%
B.55%
C.60%
D.40%
Answer: C.60%
Explanation: Yes there is a simple method :
Consider the following method
Product A : 40% millet and 60% sunflower
Product B : 65% millet and 35% safflower
Mix : 50% millet
Here the weighted average is 50%,
Now Product A has 40% millet, which is 10% less than the weighted average of mix = - 0.10 A --------------- I
Similarly, Product B has 65 % millet, which is 15 % more than the weighted average of mix = + 0.15 B ------------ II
Now, both Product A and Product B are combined to give a 50% mix containing millet, so equate I and II
implies, 0.10 A = 0.15 B
Therefore A/B = 0.15/0.10 = 3/2
A : B : (A + B) = 3 : 2 : (3+2) = 3 : 2 : 5
We have to find, percent of the mix is Product A i.e. A : (A + B) = 3 : 5 = (3 / 5) * 100 = 60 %
Here is a pictorial representation :
Product A= 40%------------------------10% or 0.10 below average, A times-----------------Total below = - 0.10 A
----------------------------------------------------------------------------------------Average = 50% or 0.50
Product B = 65 %--------------------------15% or 0.15 above average, B times-----------------Total above = + 0.15 B
Since the amount below the average has to equal the average above the average; therefore,
0.10 A = 0.15 B
A/B = 3/2
A:B: Total = 3:2:5
A/Total = 3:5 = 60 %
Answer: C
Question: If x = 3y, where y is a prime number greater than 2, how many different positive even divisors does x have, including x?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: For x to have even divisors, xx has to be an even number.
We know that x=3y, where yy is a prime number greater than 2. As 2 is the only even prime number, y has to be an odd prime number.
This means that x must also be an odd number, since odd x odd = odd.
As x is odd, it cannot have any even divisors.
Therefore, A is the correct answer.
Question: A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
A.333
B.144
C.188
D.199
Answer: B.144
Explanation: Given that SP = Rs. 102 and loss = 15%
CP = [100(SP)]/(100 - l%) = (100 * 102)/85 = 20 * 6 = Rs. 120.
To get 20% profit, New SP = [(100 + p%)CP]/100 = (120 * 120)/100 = Rs. 144.Answer: B
Question: If 9 is a factor of 2y, then which of the following may not be an integer?
A.6y/54 + 2y/3
B.(4y-18)/9
C.(2y+27)/9
D.(81-4y^2)/81
Answer: A.6y/54 + 2y/3
Explanation: I got the right answer A after plugging in 18 for y.
While going through Kaplan's explanation, I couldn't understand the part about choice A.
"6y/54 + 2y/3 = 3/6 * 2y/9 + 2y/3.
Since 9 is a factor of 2y, 3 is also factor of 2y. So 2y/3 is an integer, as is 2y/9. But 3/6 = 1/2, so if 2y/9 is not even, the expression 3/6 * 2y/9 will not be even."
But, isn't 2y/9 always even? 9 is a factor of 2y, which means that we could have 2(9), 2(2)(9), 2(3)(9), and so forth. The 9 in the denominator cancels out the 9 in the numerator. So we are left with 2 * something. So 2y/9 is even.A
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
A.10
B.12
C.13
D.18
Answer: D.18
Explanation: Sol. 2 oxen = 3 buffaloes = 4 cows 8 oxen = 16 cows and 15 buffaloes = 20 cows 16 cows + 20 cows + 24 cows = 60 cows Since fodder is available for 60 cows for 24 days
So fodder will be available for (60 + 8 + 12) = 80 cows c 24x60 .0 .
for-^—=18 days.
D
Question: A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are
drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid
P was contained in the container initially?
A.23
B.21
C.19
D.17
Answer: B.21
Explanation: Explanation :
Let's initial quantity of P in the container be 7x and initial quantity of Q in the container be 5xNow 9
litres of mixture are drawn off from the containerQuantity of P in 9 litres of the mixtures drawn off =
9×712=6312=214Quantity of Q in 9 litres of the mixtures drawn off = 9×512=4512=154HenceQuantity of
P remains in the mixtures after 9 litres is drawn off =7x−214Quantity of Q remains in the mixtures after 9
litres is drawn off =5x−154Since the container is filled with Q after 9 litres of mixture is drawn
off,Quantity of Q in the mixtures=5x−154+9=5x+214Given that the ratio of P and Q becomes 7 :
9⇒(7x−214):(5x+214)=7:9⇒(7x−214)(5x+214)=7963x−(9×214)=35x+(7×214)28x=(16×214)x=(16×214×28)
litres of P contained in the container initially = 7x=(7×16×214×28)=16×214×4=21
Answer : Option B
Question: How many even integers n, such that 20<=n<=180 are of the form 3k+4, where k is any natural number?
A.24
B.27
C.30
D.33
Answer: B.27
Explanation: The first number is 22 = 16+6(1).
We can continue adding 6 to make a list: 22, 28, 34,...
The last number is 278 = 16+6(27)
There are 27 numbers in the list.
The answer is B.
Question: There are 12 dozen mangoes in a box. If there are 43
such boxes, how many mangoes are there in all the
boxes together?
A.516
B.3096
C.6192
D.628
Answer: C.6192
Explanation: Number of mangoes = 12 dozens
= 12 × 12 = 144
∴ Number of mangoes in 43 boxes
= 43 × 144 = 6192
Answer C
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
A.34%
B.56%
C.57%
D.67%
Answer: C.57%
Explanation: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
C
Question: If 28a+30b+31c=395.
then a+b+c=?.a,b,c are natural numbers
A.5
B.8
C.12
D.13
Answer: D.13
Explanation: have a look on your calender
since,we all know a year consist of 365 days
february is d only month which has 28 days
4 months in a year has 30 days
and,rest 7 months has 31 days..
so,following d given eq. we can write 28*1 + 30*5+ 31*7..
hence values of a,b and c are 1, 5 and 7 respectively..
a+b+c=13
ANSWER:D
Question: K is a 3 digit number such that the the ratio of the number to the sum of its digits is least.What is the difference between the hundreds and tens digit?
A.9
B.8
C.7
D.6
Answer: B.8
Explanation: Explanation :
This is only possible only when the hundreds digit has the least value and tens and units has the highest value.so we could get the highest possible sum but possible lowest number.so by this logic this number could only be 199.so the difference is 8.
note:remember a number given as abc i.e abc=aX100+bX10+c.
so 123=1X100+2X10+3.
Answer : B
Question: An inlet pipe can fill the tank in 30 minutes. B an outlet pipe can empty the tank in 45 minutes. In what time the tank be filled if both pipes work simultaneously?
A.90 minutes
B.80 minutes
C.70 minutes
D.60 minutes
Answer: A.90 minutes
Explanation: Time taken to fill the tank= LCM = 90
= Ratio= 30:45=2:3
= 90/(3 - 2) = 90/1 = 90 minutes
ANSWER:A
Question: The average age of a class of 22 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
A.44
B.48
C.45
D.43
Answer: A.44
Explanation: Total age = 22 * 21
tot age of all stu + age of the teacher = 23*22
age of the teacher = 23*22-22*21 = 44
ANSWER A
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
A.Rs.530
B.Rs.540
C.Rs.550
D.Rs.560
Answer: B.Rs.540
Explanation: A+B+C = 1170
4A = 3B = 2C = x
A:B:C = 1/4:1/3:1/2 = 3:4:6
6/13 * 1170 = Rs.540
B
Question: Camel and carriage for Rs. 5000. He SP the camel at a gain of 20% and the carriage at a loss of 10%. If he gains 3% on the whole, then find the CP of the camel?
A.Rs.2166.67
B.Rs.2234
C.Rs.2345.13
D.Rs.2456.34
Answer: A.Rs.2166.67
Explanation: Now, in this numerical, there is no common loss and gain %.
Hence, solve it making equations.
Let cost price of camel be x.
As cost of camel and carriage = Rs 5000
Cost of carriage = Rs. (5000 – x)
After selling camel he gains 20% and on carriage a loss of 10%. But on the whole he gains 3%.
Therefore,
20% of x – 10 % of (5000 – x) = 3 % of 5000
20 × x – 10 × (5000 – x) = 3 × 5000
100 100 100
x – (5000 – x) = 150
5 10
10x – (5000 – x) × 10 = 150 × 10
5 10
2x-5000+x=1500
3x=1500+5000
x=2166.67
The cost of camel = Rs.2166.67
Option (A) is the correct answer
Question: If two students are made to sit in a row, then 6 don't have seats. If 6 students are made to sit in a row, then three rows are empty. How many students have to sit a row such that each row has equal number of students and all students are seated?
A.0
B.3
C.4
D.5
Answer: B.3
Explanation: Let there be a rows.
Then 2a + 6 = 6(a-3) [equating the number of students]
=> a= 6
and total number of students = 18
Therefore 3 students much sit in each row such that each row has an equal number of students and all students are seated.
Option (B)
Question: Find the value of k for which there are infinite solutions for the given set of equations.
5x + 2y = k and 10x + 4y = 3
A.3/0
B.3/2
C.3/1
D.3/8
Answer: B.3/2
Explanation: For the two sets of equation to have infinite solutions, we have 510=24=k3510=24=k3. Hence, k = 3/2
Answer:	B
Question: If n is an integer greater than 8, which of the following must be divisible by 3?
A.1. n (n+1) (n-4)
B.2. n (n+2) (n-1)
C.3. n (n+3) (n-5)
D.4. n (n+4) (n-2)
Answer: C.3. n (n+3) (n-5)
Explanation: We need to find out the number which is divisible by three,
In every 3 consecutive integers, there must contain 1 multiple of 3.
So n+4 and n+1 are same if we need to find out the 3's multiple. replace all the numbers which are more than or equal to three
1. n (n+1) (n-4) = > n(n+1)(n-1) = > (n-1)n(n+1)
2. n (n+2) (n-1) = > n(n+2)(n-1) = > (n-1)n(n+1)
3. n (n+3) (n-5) = > n(n+0)(n-2) = > (n-2)n(n)
4. n (n+4) (n-2) = > n(n+1)(n-2) = > (n-2)n(n+1)
5. n (n+5) (n-6) = > n(n+2)(n-0) = > (n)n(n+2)
from the above onlyoption Ais product of consecutive three numbers.
C