RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
A.40 minutes
B.1 hour
C.1 hour 15 min
D.1 hour 30 min
Answer: C.1 hour 15 min
Explanation: Solution
Rate downstream	= (1 / 10 x 60)km/hr
= 6 km / hr.
Rate upstream	= 2 km/hr.
Speed in still water	= 1 / 2(6 + 2)km/hr
= 4 km.
Required time	= (5 / 4) km/hr
= 1x 1/4 km/hr
= 1 hr 15 min.
Answer C
Question: The average of 60 results is 40 and the average of other 40 results is 60 . what is the average of all the results?
A.24
B.25
C.48
D.50
Answer: C.48
Explanation: Answer
Sum of 100 result = sum of 60 result + sum of 40 result.
= 60 x 40 + 40 x 60
= 4800/100
Correct Option: C
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
A.8%
B.4%
C.6%
D.3%
Answer: B.4%
Explanation: 65*(90/100)*((100-x)/100) = 56.16
x = 4%
Answer: B
Question: Tough and Tricky questions: Word Problems.
A salesman's income consists of commission and base salary. His weekly income totals over the past 5 weeks have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) income over the next two weeks be to decrease his average weekly income to $400 over the 7-week period?
A.$350
B.$400
C.$365
D.$385
Answer: C.$365
Explanation: OFFICIAL SOLUTION:
(C) First, we need to add up the wages over the past 5 weeks: $406 + $413 + $420 + $436 + $395 = $2070.
To average $400 over 7 weeks, the salesman would need to earn: $400 × 7 = $2800.
Subtract $2070 from $2800 to determine how much he would need to earn, in total, over the next 2 weeks to average $400 for the 7 weeks: $2800 – $2070 = $730.
Dividing $730 by 2 will give us the amount he needs to earn on average over the next 2 weeks: $730/2 = $365.
The correct answer is choice (C).
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
A.0.5904
B.0.5914
C.0.5912
D.0.5916
Answer: A.0.5904
Explanation: Explanation:
P(winning prize atleast on one ticket)
= 1 - P("Losing on all tickets")
= 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)
= (1.64)(0.36) = 0.5904
A)
Question: Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 12% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8%. If Ron imported a $12,000 imported car and ended up paying $1440 in taxes, what is the first tier's price level?
A.$1600
B.$6000
C.$6050
D.$1200
Answer: D.$1200
Explanation: Let T be the tier price, P be total price = 12000
Per the given conditions:
0.12T + 0.08(P-T) = 1440 ----> T= 12000. D is the correct answer.
Question: If x : y = 3 : 4, find (4x + 5y) : (5x - 2y).
A.32/7
B.13/7
C.2/7
D.32/17
Answer: A.32/7
Explanation: . X/Y=3/4  (4x+5y)/(5x+2y)= (4( x/y)+5)/(5 (x/y)-2) =(4(3/4)+5)/(5(3/4)-2)
=(3+5)/(7/4)=32/7
ANSWER A 32/7
Question: In how many ways can 10 people, A, B, C, D, E, F, G, H, I, J be seated in a row such that C and D are not seated next to each other as well as A and B are not seated next to each other?
A.384
B.396
C.576
D.3628704
Answer: D.3628704
Explanation: Number of total arrangements = 10!
Restriction 1= ABCD not next to each other --> let say AB and CD are considered as one unit, respectively
Restriction 2= AB is not the same as BA + CD is not the same as DC --> the number will increase by 2*2
Total number of arrangements - Number out of restrictions = Result
10! - (4!*2*2) = 3628800 - (24*2*2) = 3628704
Answer D
Question: The area of one square is x^2 + 10x + 25 and the area of another square is 4x^2 − 20x + 25. If the sum of the perimeters of both squares is 36, what is the value of x?
A.3
B.5
C.7
D.9
Answer: A.3
Explanation: The areas are (x+5)^2 and (2x-5)^2.
The lengths of the sides are x+5 and 2x-5.
If we add the two perimeters:
4(x+5) + 4(2x-5) = 36
12x = 36
x = 3
The answer is A.
Question: What is the rate percent when the simple interest on Rs.810 amount to Rs.155 in 4 Years?
A.4.78
B.4.68
C.4.58
D.4.48
Answer: A.4.78
Explanation: 155 = (810*4*R)/100
R = 4.78%
Answer: A
Question: In how many ways 5 different balls can be arranged in to 3 different boxes so that no box remains empty?
A.125
B.150
C.175
D.200
Answer: B.150
Explanation: 1. The total number of possibilities including empty boxes: 35=24335=243
2. Two of the boxes are empty: C32=3C23=3
3. One but not two of the boxes is empty: 3∗(25−2)=903∗(25−2)=90
4. the total number of possibilities excluding empty boxes: 243 - 3 - 90 = 150
ANS:B
Question: The percentage profit earned by selling an article for $1920 is equal to the percentage loss incurred by selling the same article for $1280. At what price should the article be sold to make 25% profit?
A.1000
B.3000
C.2000
D.4000
Answer: C.2000
Explanation: B
2000
Let C.P. be $x.
Then, (1920 - x)/x * 100 = (x - 1280)/x * 100
1920 - x = x - 1280
2x = 3200 => x = 1600
Required S.P. = 125 % of $1600 = 125/100 * 1600 = $2000.
Question: Mr. Smith calculated the average of 10three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 39.6. The difference between the unit digit and hundreds digit of that number is :
A.a) 4
B.b) 3
C.c) 2
D.d) 1
Answer: A.a) 4
Explanation: Since the average increased by 39.6 and there were a total of 10 numbers, it means the incorrect number was 396 greater than the correct number.
Say, the correct number was abc (where a, b and c are the digits of the 3 digit number)
Then the incorrect number was cba.
100c + 10b + a - (100a + 10b + c) = 396
99c - 99a = 99(c - a) = 396
396 = 99*4 = 99(c - a)
So c - a = 4
Answer (A
Question: In a University the average age in an arts class is 21 and average age in technical class is 18. What is the age average of University if there are 8 arts classes and 5 technical classes?
A.18.75
B.19.85
C.20.32
D.20.9
Answer: B.19.85
Explanation: Average age of University= ((8x21)+(5x18))/13
=19.85
Answer: B
Question: In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 11 and 200, then the least and greatest integer on the card would be
A.3 and 15
B.3 and 20
C.4 and 13
D.4 and 14
Answer: A.3 and 15
Explanation: Given: 11<x(x+1)<200.
Now, it's better to test the answer choices here rather than to solve:
If x=3 then x(x+1)=12>11 --> so, the least value is 4. Test for the largest value: if x=15 then
x(x+1)=15*16=240>200 --> discard B.
Answer: A.
Question: How many real roots does the equation x^2y+15xy+64y=0 have if y < 0?
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: x^2y+15xy+64y=0
=> y ( x^2 + 15x + 64) = 0
=> y (x+8)^2 = 0
if y<0 , then x=-7
So although there are 2 factors , they are the same x=-7 .
The equations has 2 distinct real root .
Answer C
Question: A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6:5:4, respectively, by weight. If 60 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
A.15
B.12
C.8
D.6
Answer: C.8
Explanation: We can first set up our ratio using variable multipliers. We are given that a fruit-salad mixture consists of apples, peaches, and grapes, in the ratio of 6:5:4, respectively, by weight. Thus, we can say:
apples : peaches : grapes = 6x : 5x : 4x
We are given that 60 pounds of the mixture is prepared so we can set up the following question and determine a value for x:
6x + 5x + 4x = 60
15x = 60
x = 4
Now we can determine the number of pounds of apples and of grapes.
pounds of grapes = (4)(4) = 16
pounds of apples = (6)(4) = 24
Thus we know that there are 24 - 16 = 8 more pounds of apples than grapes.
Answer is C.
Question: If the personal income tax rate is lowered from 40% to 33%, what is the differential savings for a tax payer having an annual income before tax to the tune of $45000?
A.$3500
B.$5000
C.$3150
D.$7000
Answer: C.$3150
Explanation: Saving = (40-33)% of 45000 = 3150.
Answer:C
Question: E is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in E?
I. 9
II. 15
III. 27
A.I only
B.II only
C.I and II only
D.I and III only
Answer: C.I and II only
Explanation: Ans: C
E->{x} where x^2 is a multiple of both 27 and 375 means 3^3 and (5^3)*3
means x must contain 3^2 and 5^2
so with these conditions we know that 9=3^2 and 15=3*5 both have required factors for the divisibility of lowest int for x which is 9*25
but 27 is not a divisor because it can't divide 9*25 fully.
so Ans : C
Question: The first three terms of a proportion are 2, 10 and 20. The fourth term is?
A.105
B.102
C.190
D.100
Answer: D.100
Explanation: (10*20)/2 = 100
Answer:D
Question: A bag contains 6 black and 7 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A.3/4
B.7/13
C.1/7
D.1/8
Answer: B.7/13
Explanation: Let number of balls = (6 + 7) = 13.
Number of white balls = 7.
P (drawing a white ball) =7/13
Option B.
Question: Apple Street begins at Peach Street and runs directly east for 3.2 kilometers until it ends when it meets Cherry Street. Apple Street is intersected every 200 meters by a perpendicular street, and each of those streets other than Peach Street and Cherry Street is given a number beginning at 1st Street (one block east of Peach Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Cherry Street. What is the highest-numbered street that intersects Apple Street?
A.14th
B.15th
C.16th
D.17th
Answer: B.15th
Explanation: 3.2 km / 200 m = 16.
However, the street at the 3.2-km mark is not 16th Street; it is Cherry Street.
Therefore, the highest numbered street is 15th Street.
The answer is B.
Question: When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 13. Which of the following is true?
A. 23x + 17y =19
B. 17x –23y = 8
C. 17x +23y =19
D. 14x + 5y = 6
Answer: B. 17x –23y = 8
Explanation: From the problem it follows:
n=17x+5
n=23y+13
So, 17x+5=23y+13
17x-23y=8
The answer is B
Question: f(x) = x! g(x)=x^10 h(x)= 10^x for large values of x which is greater?
A.f(x)
B.g(x)
C.h(x)
D.both
Answer: C.h(x)
Explanation: let x=100
then g(x)=100^10=10^20
h(x)=10^100
so h(x) is greater
ANSWER:C
Question: If (2^x)(3^y) = 108, where x and y are positive integers, then (2^x-1)(3^y-2) equals:
A.6
B.24
C.48
D.96
Answer: A.6
Explanation: So I would start attacking this problem by quickly performing the prime factorization of 288. With that it is easy to count the 5 twos and the 2 threes that are the prime factors. So x=2, y=3. now quickly 2^1(3^1)=6. Than answer should be number 1.
A
Question: Mr. Shah decided to walk down the escalator of a tube station. He found Â that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins Â to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?
A.44
B.45
C.46
D.47
Answer: C.46
Explanation: (s1*t2~s2*t1)/(t2~t1)=(26*18~34*30)/(18~30)=46
ANSWER:C
Question: Three people each took 3 tests. If the ranges of their scores in the 3 practice tests were 17, 28 and 35, what is the minimum possible range in scores of the three test-takers?
A.a 17
B.b) 28
C.c) 35
D.d) 45
Answer: B.b) 28
Explanation: It is finding the minimum range between all their scores, if all test taker scores are between 0 and maximum range we will have:
A- 0 and 17
B- 0 and 28
therefore the minimum range is 35, it cant be any lower however you play with the numbers.
B
Question: If (a-b) is 6 more than (c+d) and (a+b) is 3 less than (c-d), then (a-c)
A.0.5
B.1.5
C.2.5
D.1.0
Answer: B.1.5
Explanation: (a-b)-(c-d)=6 and (c-d)-(a+b)=3
(a-c)-(b+d)=6 and (c-a)-(b+d)=3
(b+d)= (a-c)-6 and (b+d)=3-(c-a)
2(a-c)=3
(a-c)=1.5
ANSWER B 1.5
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 90 kmph and 72 kmph. After how much time will the trains meet?
A.27/7 sec
B.20/9 sec
C.33/7 sec
D.21/7 sec
Answer: B.20/9 sec
Explanation: They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (90 + 72)*5/18 = 9*5 = 45 mps.
The time required = d/s = 100/45 = 20/9 sec.
Answer : B
Question: Find the invalid no.from the following series 13, 17, 22, 26, 31, 38
A.13
B.38
C.40
D.37
Answer: B.38
Explanation: The differences between two successive terms from the beginning are 4, 5, 4, 5, 4, 5. So, 38 is wrong.
Answer : B
Question: In some quantity of ghee, 60% is pure ghee and 40% is vanaspati. If 10kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was?
A.10
B.15
C.20
D.18
Answer: A.10
Explanation: Let the original quantity be x
then, vanaspati ghee in xkg = 40x/100 kg= 2x/5kg
(2x/5)/(x+10) = 20/100
2x/(5x+50) = 1/5
x = 10
Answer is A
Question: What will come in place of the x in the following Number series? 25, 100, x, 1600, 6400
A.2345
B.3579
C.6400
D.6799
Answer: C.6400
Explanation: (C)
25 x 4 = 100, 100 x 4 = 400, 400 x 4 = 1600, 1600 x 4 = 6400.
Question: If 6x = 8y = 10z, then what is a possible sum of positive integers x, y, and z?
A.52
B.58
C.84
D.94
Answer: D.94
Explanation: 6x = 8y = 10z
3x = 4y = 5z
3(4*5) = 4(3*5) = 5(3*4)
Addition = 20+15+12 = 47
Answer would be multiple of 47 which is 94
Answer :D
Question: 2^(24) + 2^(25) + 2^(26) + ... + 2^(43) + 2^(44) =
A.2^24(2^(21)-1)
B.2^24(2^(20)-1)
C.2^24(2^(23)-1)
D.2^21(2^(20)-1)
Answer: A.2^24(2^(21)-1)
Explanation: 2^(24) + 2^(25) + 2^(26) + ... + 2^(43) + 2^(44) =
2^(24)*(1+2+4+...+2^(20)) =
2^(24)*(2^(21) - 1)
The answer is A.
Question: David pays the simple interest on an amount he borrowed from his boss, if interest rate is halved, then simple interest is multiplied by
A.2
B.1
C.1/4
D.1/2
Answer: D.1/2
Explanation: Formula for SI = (P*T*R)/100
SI = Simple Interest
P = Principle Amount
T = Time
R = Interest Rate
Say r=2 => SI1 = 2*SI
when r=1; SI2 = SI
SI2 = 1/2*SI1.
Answer : D
Question: Three people have $30, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?
A.$72
B.$85
C.$98
D.$100
Answer: D.$100
Explanation: Solution -
Total money distributed is $200. In order to maximize median, one person has to accept $0 and remaining two people share $100 each. Hence median is $100.
ANS D
Question: If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area?
A.40%
B.30%
C.50%
D.70%
Answer: C.50%
Explanation: C
50%
Length is halved.
i.e., length is decreased by 50%
Breadth is tripled
i.e., breadth is increased by 200%
Change in area
=(−50+200−(50×200/100))%=50%
i.e., area is increased by 50%
Question: What is value of ((2^5)*(9^2))/((8^2)*(3^5))=?
A.1/6
B.1/3
C.2/3
D.1/4
Answer: A.1/6
Explanation: =>((2^5)*((3^2)^2)/((2^3)^2)*(3^5))
=>((2^5)*(3^4))/((2^6)*(3^5))
=>1/(2*3)
=>1/6
Option A is answer
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.120 metres
B.180 metres
C.324 metres
D.150 metres
Answer: D.150 metres
Explanation: Explanation:
Speed= 60 x	5/18	m/sec	= 50/3	m/sec.
Length of the train = (Speed x Time).
Length of the train = 50/3	x 9	m = 150 m.
ANSWER IS D
Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
A.1/19
B.1/11
C.1/12
D.1/17
Answer: C.1/12
Explanation: A's 1 hour work = 1/4;
(B + C)'s 1 hour work = 1/3;
(A + C)'s 1 hour work = 1/2
(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12
B's 1 hour work = (7/12 + 1/2) = 1/12
B alone will take 12 hours to do the work.
Answer: C
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is ?
A.1/37
B.1/36
C.1/31
D.1/33
Answer: B.1/36
Explanation: It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6 = 216 ways.
Hence the probability is 6/216 = 1/36.Answer: B
Question: A man’s speed with the current is 14 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :
A.9 km/hr
B.8.5 km/hr
C.10 km/hr
D.12.5 km/hr
Answer: A.9 km/hr
Explanation: Solution
Man's rate in still water = (14-2.5) km/hr = 11.5 km/hr.
Man's rate against the current = (11.5-2.5) km/hr = 9 km/hr Answer A
Question: Two motor cycles A & B are started from one point at 4 Kmph & 6 Kmph; After 45 min B starts returning, at what time they will meet ?
A.54 mins
B.55 mins
C.56 mins
D.57 mins
Answer: A.54 mins
Explanation: Distance covered by A in 45 mins= 3 kms.
Distance covered by B in 45 mins= 4.5 kms.
Distance between and B after 45 mins= 1.5 kms.
Relative speed when B is returning = 4+6=10 kmph
Distance between A and B is covered in 1.5/10 = 0.15 hrs = 9 mins
so they will meet again after 54 mins from starting time.
ANSWER:A
Question: How many shots of 1cm radius can be prepared from a sphere of 6cm radius?
A.33
B.88
C.216
D.288
Answer: C.216
Explanation: 4/3 Ï€ * 6 * 6 * 6 = 4/3 Ï€ * 1 * 1 * 1 * x
x = 216
Answer: C
Question: a=2, b=3, c=6 Find the value of c/(a+b)-(a+b)/c
A.8/30
B.9/30
C.10/30
D.11/30
Answer: D.11/30
Explanation: c/(a+b)-(a+b)/c
= (c/(a+b))-((a+b)/c)
= (6/(2+3))-((2+3)/6)
= (6/5)-(5/6)
= 11/30
ANSWER:D
Question: At the recent downhill mountain bike race 4 entrants entered a challenging slalom event. Prem came first. The entrant wearing no 2 wore red. whereas kian did not wear yellow. the loser wore blue and rahul wore no 1.Sanjay beat rahul and the person who came second wore no 3.te entrant in yellow beat the entrant in green. Only one of the entrant s wore the same number and the final position. Determine who finished 3rd, the no and the color they wore?
A.Rahul 1 green
B.rahul 2 red
C.Kiran 4 blue
D.Kiran 7 blue
Answer: A.Rahul 1 green
Explanation: the names are prem, sanjay, rahul, kian
colors are red,yellow,green,blue
since prem came 1st and sanjay beat rahul so, given that sanjay came 2nd, wore no 3, yellow color
and rahul wore no 1, green color, came 3rd
hence,
name position wore t-shirt no color
prem 1 2 red
sanjay 2 3 yellow
rahul 3 1 green
kian 4 (1,2,3) blue
ANSWER:A
Question: Find the area of a parallelogram with base 32 cm and height 18 cm?
A.576 cm2
B.384 cm2
C.672 cm2
D.267 cm2
Answer: A.576 cm2
Explanation: Area of a parallelogram
= base * height
= 32 * 18
= 576 cm2
Answer: A
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 0.5% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
A.2.04%
B.4.12%
C.5%
D.8.25%
Answer: A.2.04%
Explanation: Per quarter, interest = 0.5% So for a year, interest = 2% Due to quarter cumulation, effective yield (YTM) would be slight higher than 2% Answer = 2.04% =ANSWER:A
Question: A set consists of 15 numbers, all are even or multiple of 5. If 8 numbers are even and 10 numbers are multiple of 5, how many numbers is multiple of 10?
A. 0
B. 1
C. 2
D. 3
Answer: D. 3
Explanation: {Total} = {Even} + {Multiple of 5} - {Both} + {Nether}.
Since{Neither}=0(allare even or multiple of 5) then:
15 = 8 + 10 - {Both} + 0;
{Both}=3(so 1 number is both even AND multiple of 5, so it must be a multiple of 10).
Answer: D.
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.20 per kg. What will be his gain percent?
A.8 1/7 %
B.2 1/3 %
C.3 1/3 %
D.8 1/8 %
Answer: C.3 1/3 %
Explanation: C.P. of 1 kg = 420/70 = Rs. 6
S.P. of 1 kg = Rs. 6.20
Gain % = 0.20/6 * 100 = 10/3
= 3 1/3 %
Answer:C
Question: What should be the least number to be added to the 51234 number to make it divisible by 9?
A.12
B.17
C.18
D.77
Answer: C.18
Explanation: Explanation:
The least number to be added to the numbers to make them divisible by 9 is equal to the difference of the least multiple of 9 greater than the sum of the digits and sum of the digits.
Sum of digits = 15.
Nearest multiple of 9 greater than sum of digits = 18.
Hence 3 has to be added.
Answer: C
Question: A set of numbers has the property that for any number t in the set,t+2 is in the set. If -2 is in the set, which of the following must also be in the set? I. -3 II. 1 III. 4
A.II only
B.I,III only
C.III only
D.II,III only
Answer: C.III only
Explanation: question is asking for must be there elements.
According to the question if t is there t+2 must be there.
if -2 is the starting element the sequence is as follows.
S ={-2,0,2,4,6....}
if -2 is not the starting element the sequence is as follows
S = {...-4,-2,0,2,4,6...}
By observing the above two sequences we can say that 4 must be there in set S.
Answer : C
Question: After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
A.Rs.2989
B.Rs.5029
C.Rs.5000
D.Rs.5197
Answer: C.Rs.5000
Explanation: Given SP = Rs. 6800
Marked price = [SP(100)]/(100 - d%) = (6800 * 100)/(100 - 15)
= Rs. 8000
If SP = Rs. 8000, profit
60%
CP = [SP(100)]/(100 + 60)
= (8000 * 100)/160
= Rs.5000
Answer: C
Question: What is the least number of squares tiles required to pave the floor of a room 2 m 42 cm long and 1 m 76 cm broad?
A.88
B.82
C.84
D.44
Answer: A.88
Explanation: Length of largest tile = H.C.F. of 242 cm and 176 cm = 22 cm.
Area of each tile = (22 x 22) cm2.
Required number of tiles =242 x 176/(22^2)= 88.
ANSWER:A
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 ¾ % his yearly income diminishes by Rs.61.50. his capital is
A.22378
B.3778
C.24600
D.27888
Answer: C.24600
Explanation: Explanation:
Capital = Rs.x , then
x = 24600
Answer: C) Rs.24600
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
A.2.89
B.2.88
C.2.82
D.2.84
Answer: B.2.88
Explanation: M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer:B
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
A.272
B.111
C.822
D.150
Answer: D.150
Explanation: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer:D
Question: Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
A.1
B.2
C.7
D.4
Answer: D.4
Explanation: 2500 = D(100/4)2
D = 4
Answer:D
Question: x = y - (1/y), where x and y are both > 0. If the value of y is doubled in the equation above, the value of x will
A.decrease
B.stay the same
C.increase four fold
D.just more than double
Answer: D.just more than double
Explanation: Alternate approach
Plug in some values of y > 0
Let y = 10
So, x = y - (1/y)
Or, x = 10 - (1/10) = 9.9
Let y = 20
So, x = y - (1/y)
Or, x = 20 - (1/20) =>19.95
So, x increases from 9.9 to 19.95
Hence the number increases 2 times, thus the correct answer will be (D)