RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
A.1 hour 30 minutes
B.1 hour 23 minutes
C.1 hour 20 minutes
D.1 hour 28 minutes
Answer: C.1 hour 20 minutes
Explanation: Let the distance and original speed be d km and k kmph respectively.
d/0.8k - d/k = 20/60 => 5d/4k - d/k = 1/3
=> (5d - 4d)/4k = 1/3 => d = 4/3 k
Time taken to cover the distance at original speed
= d/k = 4/3 hours = 1 hour 20 minutes.
Answer:C
Question: Which of the following are divisible by both 2 and 3?
I. 234,124,422
II. 88,865,544,274
III. 5,555,554,673
A.I​ only
B.I and II​
C.II and III
D.II Only
Answer: A.I​ only
Explanation: III. is not divisible by 2 since the last digit is odd so we eliminate option C and E, we are left with option A, B and D
Among option I and II lets check the divisibility of 3
I. is divisible by 3 since sum of the digits is 24 , which is divisible by 3
II. is not divisible by 3 since sum of the digits is not divisible by 3
Thus among the given options only (A) holds true.
Answer: A
Question: Three numbers are in the ratio 3:5:8. The largest number value is 152. Find difference between Smallest & largest number is?
A.16
B.90
C.38
D.95
Answer: D.95
Explanation: Explanation:
== 3:5:8
Total parts = 16
= The largest number value is 152
= The largest number is = 8
= Then 8 parts -----> 152 ( 8 * 19 = 152 )
= smallest number = 3 & Largest number = 8
= Difference between smallest number & largest number is = 8 - 3 = 5
= Then 5 parts -----> 95 (5 * 19 = 95)
Answer: Option D
Question: Andrew grossed $530 one week by working 49 hours. His manager pays him time-and-a-half for all hours worked in excess of 35 hours. What is Andrew's regular hourly wage?
A.$10 per hour
B.$15 per hour
C.$5 per hour
D.$12 per hour
Answer: A.$10 per hour
Explanation: Denote by x the regular hourly wage.
Then 1.5x is the hourly overtime wage.
For 35 hours, Andrew received a salary of 35x.
For 49-35=12 hours, he received 12(1.5x)=18x
Total salary: 35x+18x=53x which equals $530.
53x=530 implies x=10 (Andrew receives $10 per hour)
Answer A 10.
Question: When positive integer x is divided by positive integer y, the result is 59.32. What is the sum E of all possible 2-digit remainders for x/y?
A.560
B.616
C.672
D.728
Answer: B.616
Explanation: ans B 616...
remainders = .32=32/100=8/25=16/50 and so on..
so two digit remainders are 16+24+32+....+96..
E=8(2+3+4....+12)=616.B
Question: If Albert’s monthly earnings rise by 27%, he would earn $567. If, instead, his earnings rise by only 26%, how much (in $) would he earn this month?
A.643
B.652
C.562
D.578
Answer: C.562
Explanation: =567/1.27∗1.26
=562=562
Answer is C
Question: If cement, gravel and sand are to be mixed in 7:10:13 and 9 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
A.38 7/8
B.36
C.38 4/7
D.34 5/7
Answer: C.38 4/7
Explanation: Cement:Gravel:Sand = 7:10:13 --> total of 7+10+13 = 30 parts.
If we use 9 tons of cement, then we'll get 9/7*30 = 38 4/7 tons of mixture.
Answer: C.
Question: The speed of a subway train is represented by the equation z=s^2+2s for all situations where 0≤s≤7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. In kilometers per hour, how much faster is the subway train moving after 7 seconds than it was moving after 4 seconds?
A.4
B.9
C.39
D.48
Answer: C.39
Explanation: Given: z=s^2+2s for 0≤s≤7
z(4) = 4^2 + 2*4 = 24
z(7) = 7^2 + 2*7 = 63
Therefore z(7) - z(3) = 63 - 24 = 39 km/hr
Option C
Question: The ratio of male to female in a class is 2:3. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one of the males and one of the females in the class?
A.a)160 degree
B.b) 168 degree
C.c)191 degree
D.d)72 degree
Answer: D.d)72 degree
Explanation: let the common ratio be x.. so M=2x and F=3x and Total=5x
1 of M= 2x and 1 of F= 3x..
Total preferring that carrer =5x
Now 5x= 360, so x=360/5=72..
so x*8/3= 72*8/3=192
D
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
A.160
B.175
C.180
D.195
Answer: B.175
Explanation: Suppose the man works overtime for x hours.
Now, working hours in 4 weeks = (5 * 8 * 4) = 160.
Therefore, 160 * 2.40 + x * 3.20 = 432
=> 3.20x = 432 - 384 = 48
=> x = 15.
Hence, total hours of work = (160 + 15) = 175.
ANSWER:B
Question: Calculate Rebecca's average score in an exam if she obtained the following marks 70, 57, 69, 89 and 85 out of 100 in different subjects.
A.74
B.94
C.54
D.84
Answer: A.74
Explanation: Explanation:
(70+57+69+89+85)/5=74
Answer: Option A
Question: In a simultaneous throw of 2 dice, what is the probability of getting a total of 8?
A.3/17
B.7/36
C.1/36
D.5/36
Answer: D.5/36
Explanation: n(S) = 6*6 = 36
E = event of getting a total of 8 = {(2,6),(3,5),(4,4),(5,3),(6,2)}
probability = 5/36
Answer is D
Question: In how many different ways can the letters of the word 'DETAIL' be arranged such that the consonants must occupy only the even positions?
A.None of these
B.64
C.120
D.36
Answer: D.36
Explanation: D
3 consonants DTL can be arranged in 3!=6 ways. Similarly 3 vowels can be arranged on odd places in 3!=6 ways.
Total = 6*6 = 36.
Answer: D.
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 4/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
A.(a) 7/16
B.(b) 7/15
C.(c) 10/21
D.(d) 7/31
Answer: D.(d) 7/31
Explanation: A simpler way i guess would be to think that in total 5 cups were sold. Out of which 4 are small and 1 is large. Now let the small ones cost $6. so the large ones would cost $7.
So,
4*6=24 and 1*7=7.
Total revenue was 24+7=31
and Large cup sales as found above is 7
Therefore answer is 7/31
D
Question: What is the greatest of 3 consecutive integers whose sum is 36?
A.12
B.13
C.14
D.15
Answer: B.13
Explanation: 36 / 3 = 12
The three numbers are 11, 12, and 13.
The answer is B.
Question: 7, 26, 63, 124, 215, 342, (....)
A.481
B.391
C.511
D.421
Answer: C.511
Explanation: Explanation :
The series is (2^3 - 1), (3^3 - 1), (4^3 - 1), (5^3 - 1), (6^3 - 1), (7^3 - 1), ...
Hence, next number is (8^3 - 1) = 511
Answer : Option C
Question: The average weight of 9 person's increases by 5.5 kg when a new person comes in place of one of them weighing 86 kg. What might be the weight of the new person?
A.72 kg
B.77.5 kg
C.135.5 kg
D.Data inadequate
Answer: C.135.5 kg
Explanation: Total weight increased = (9 x 5.5) kg = 49.5 kg.
Weight of new person = (86 + 49.5) kg = 135.5 kg.
Answer: Option C
Question: The radius of a circle is increased by 1%. Find how much % does its area increases?
A.2.06
B.2.09
C.2.03
D.2.01
Answer: D.2.01
Explanation: r = 100 r = 101
r2 = 10000 r2 = 10201
10000 ---- 201
100 ---- ? => 2.01%
Answer:D
Question: A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 12 multiples of 14, how many multiples of 7 are there in Q?
A.20
B.21
C.22
D.23
Answer: D.23
Explanation: Halfway between the multiples of 14, there will be another multiple of 7.
The total number of multiples of 7 is 12+11 = 23.
The answer is D.
Question: what is the remainder when 89001 is divided by 18
A.3
B.8
C.9
D.4
Answer: B.8
Explanation: 89001 / 18
89001 / 9*2
9889 / 2 => rem = 1
we have cancelled it by 9
reqd remainder = 9*1 = 9
ANSWER:B
Question: Arrange the given words in the sequence in which they occur in the dictionary and choose the correct sequence.
A.3, 5, 2, 1, 4
B.3, 5, 2, 1, 8
C.3, 5, 2, 1, 2
D.3, 5, 2, 1, 5
Answer: A.3, 5, 2, 1, 4
Explanation: Explanation:
The correct alphabetical order is
Each, Eager, Earlier, Economic, Edition
ANSWER: A
Question: What will be the day of the week 15th August, 2010?
A.Thursday
B.Sunday
C.Monday
D.Saturday
Answer: B.Sunday
Explanation: Explanation:
15th Aug 2010 = (2009 years + period from 1-Jan-2010 to 15-Aug-2010)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2009
= 7 normal years + 2 leap year
= 7 x 1 + 2 x 2 = 11 = (11 - 7x1) odd day = 4 odd day
Days from 1-Jan-2010 to 15-Aug-2010
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 31(may) + 30(Jun) + 31(Jul) + 15(Aug)
= 227
227 days = 32 weeks + 3 day = 3 odd day
Total number of odd days = (0 + 4 + 3) = 7 odd days = 0 odd day
0 odd day = Sunday
Hence 15th August, 2010 is Sunday.
Answer: Option B
Question: A man can row a boat at 10 kmph in still water and the speed of the stream is 8 kmph. What is then time taken to row a distance of 90 km down the stream ?
A.8hrs
B.5 hrs
C.15 hrs
D.15 hrs
Answer: B.5 hrs
Explanation: Speed in down stream = 10 +8 = 18
Time taken to cover 90 km down stream = 90/18 = 5 hrs.
ANSWER:B
Question: The angles of a triangle are in the ratio 1:9:8. Find the measurement of the largest of three angles of triangle.
A.90°
B.100°
C.120°
D.140°
Answer: A.90°
Explanation: If the ratio of the three angles is 1:9:8, then the measures of these angles can be written as x, 9x and 8x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence
x + 9x + 8x = 180
Solve for x
18x = 180
x = 10
The measures of the three angles are
x = 10°
9x = 9 × 10 = 90°
8x = 8 × 10 = 80°
A
Question: Two brothers Ram and Ravi appeared for an exam. The probability of selection of Ram is 1/7 and that of Ravi is 1/5. Find the probability that both of them are selected.
A.1/35
B.2/3
C.7/35
D.5/7
Answer: A.1/35
Explanation: Let A be the event that Ram is selected and B is the event that Ravi is selected.
P(A) = 1/7
P(B) = 1/5
Let C be the event that both are selected.
P(C) = P(A) x P(B) as A and B are independent events:
= 1/7 x 1/5 = 1/35
ANSWER:A
Question: Person X joins a job at 20 yrs. First 3 years salary = 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age he retires?
A.50
B.60
C.40
D.70
Answer: A.50
Explanation: Let age of retirement = x
so according to the given condition 25000*(x-20)
=10000*3+12000+14000+16000+18000+20000+22000+24000+26000+28000+30000+30000(x-33)
= 30000+210000+30000x-990000
= 30000x-750000
or 25000x-500000=30000x-750000
or 5000x = 250000
or x = 50
ANSWER:A
Question: Jessica can text 75 words per minute, while Maurice can text 10 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
A.0.3
B.1.3
C.3.5
D.9
Answer: C.3.5
Explanation: Since the answer choices are reasonably spaced out, we can approximate and save time
Combined words per day = 85*60*24 which should be something close to 122400 (i.e 100*25*60)
410400/122400 will be closest to only 3.5,
So, Answer should be C.
Question: How many positive integers less than 23 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
A.17
B.25
C.24
D.22
Answer: A.17
Explanation: 8 prime numbers less than 28: {2, 3, 5, 7, 11, 13, 17, 19}
2 odd multiples of 5: {5, 15}
9 numbers which are the sum of a positive multiple of 2 and a positive multiple of 4: {6, 8, 10, 12, 14, 16, 18, 20, 22}
Notice, that 5 is in two sets, thus total # of integers satisfying the given conditions is 8+1+9-1=17.
Answer: A.
Question: A can do a piece of work n 7 days of 9 hours each and B alone can do it in 6 days of 7 hours each. How long will they take to do it working together 8 2/5 hours a day?
A.4 days
B.3 days
C.5 days
D.6 days
Answer: B.3 days
Explanation: B
3 days
A can complete the work in (7*9) = 63 days
B can complete the work in (6*7) = 42 days
--> A’s one hour’s work = 1/63 and B’s one hour work = 1/42.
(A+B)’s one hour work = 1/63+1/42 = 5/126
Therefore, Both can finish the work in 126/5 hours.
Number of days of 8 2/5 hours each = (126*5/(5*42)) = 3 days
Question: If the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 4, what is the ratio of apples to cucumbers?
A.1:3
B.2:5
C.3:5
D.5:8
Answer: D.5:8
Explanation: The ratio of bananas to cucumbers is 1 to 4 which equals 2 to 8.
The ratio of apples to bananas to cucumbers is 5 to 2 to 8.
The ratio of apples to cucumbers is 5 to 8.
The answer is D.
Question: If s and t are integers and s^2 – t^2 is an odd integer, which of the following must be an even integer?
I. s + t + 2
II. s^2 + 2st + t^2
III. s^2 + t^2
A.None
B.I only
C.II only
D.III only
Answer: A.None
Explanation: s^2–t^2 is an odd integer means that either s is even and t is odd or s is odd and t is even.
Check all options:
I. s + t + 2 --> even+odd+even=odd or odd+even+even=odd. Discard;
II. s^2 + 2st + t^2 --> even+even+odd=odd or odd+even+even=odd. Discard;
III. s^2 + t^2 --> even+odd=odd or odd+even=odd. Discard.
Answer: A.
Question: A,B,C can do a piece of work in 11days, 20days and 55days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days?
A.2
B.4
C.8
D.10
Answer: C.8
Explanation: A+B 1day work = 1/11 + 1/20 = 31/220
A+C 1day work = 1/11 + 1/55 = 6/55
work done in 2 days = 31/220 + 6/55 = 55/220 = 1/4
1/4 work is done by A in 2days
Whole work will be done in 2*4 = 8days
Answer is C
Question: A grocery shop has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A.4857
B.4184
C.4012
D.4991
Answer: D.4991
Explanation: Let the sale in the sixth month =x
Then
(6435+6927+6855+7230+6562+x)/6 =6500
=>6435+6927+6855+7230+6562+x =6×6500
=> 34009+x=39000
=> x=39000−34009
=4991
ANSWER:D
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.45%
B.50%
C.57%
D.64%
Answer: C.57%
Explanation: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
C
Question: A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?
A.9, 46
B.9, 50
C.10, 46
D.10, 50
Answer: B.9, 50
Explanation: Explanation:
We have : A = 3B ...(i) and
C - 4 = 2 (A - 4) ...(ii)
Also, A + 4 = 31 or A= 31-4 = 27.
Putting A = 27 in (i), we get: B = 9.
Putting A = 27 in (ii), we get C = 50.
Answer: B
Question: Two numbers are in the ratio 3 : 4. If their L.C.M. is 96. what is sum of the numbers?
A.48
B.56
C.76
D.84
Answer: B.56
Explanation: Explanation:
Let the numbers be 3x and 4x
LCM of 3x and 4x = 12x (Since LCM of 3 and 4 is 12. Hence LCM of 3x and 4x is 12x)
Given that LCM of 3x and 4x is 96
=> 12x = 96
=> x = 96/12 = 8
Sum of the numbers
= 3x + 4x
= 7x
= 7 x 8 = 56
Answer: Option B
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
A.1/8
B.1/2
C.1/9
D.11/1
Answer: B.1/2
Explanation: The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2
= 1/2.
Answer:B
Question: Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year	Item of Expenditure
Salary	Fuel and Transport	Bonus	Interest on Loans	Taxes
1998	288	98	3.00	23.4	83
1999	342	112	2.52	32.5	108
2000	324	101	3.84	41.6	74
2001	336	133	3.68	36.4	88
2002	420	142	3.96	49.4	98
The total expenditure of the company over these items during the year 2000 is?
A.Rs. 544.44 lakhs
B.Rs. 544.54 lakhs
C.Rs. 544.79 lakhs
D.Rs. 545 lakhs
Answer: A.Rs. 544.44 lakhs
Explanation: Total expenditure of the Company during 2000
= Rs. (324 + 101 + 3.84 + 41.6 + 74) lakhs
= Rs. 544.44 lakhs.
A)
Question: 3/5 of all married couples have more than one child. 2/5 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
A.1/5
B.1/4
C.7/20
D.3/5
Answer: A.1/5
Explanation: Plug in simple numbers. Take 100 couples for example.
3/5 of 100 couples have more than one child = 60 couples.
2/5 of 100 couples have more than 3 kids = 40 couples.
This implies that 40 couples are a subset of 60 couples and the complement of 60 couples within those 100 couples, which equals 20 couples have either one or no kids at all.
We need to find couples that have 2 or 3 kids, so essentially, it is 60 - 40 = 20. Fraction will be 20/100 = 1/5.
Option A
Question: The owner of a furniture shop charges his customer 25% more than the cost price. If a customer paid Rs. 8340 for a computer table, then what was the cost price of the computer table?
A.Rs.6672
B.Rs.6727
C.Rs.6908
D.Rs.6725
Answer: A.Rs.6672
Explanation: CP = SP * (100/(100 + profit%))
= 8340(100/125) = Rs.6672.
Answer: A
Question: If k is the sum of the digits of integer m, and m=16n, where n is an integer, which of the following must be true?
A.k is not divisible by 9
B.The sum of the digits of k is 9
C.m is a multiple of 2k
D.k is a multiple of 9
Answer: A.k is not divisible by 9
Explanation: m= 16n i.e n =1,2,3 ,4 etc or -1,-2.-3 ,-4 then m 16,32,48,64 or -16 ,-32 ,-48 ,-64 then k 7,5 12,10 or -(1+6) , -(3+2) , -(4+8) ,-(6+4)
ans A
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
A.17603
B.17608
C.17628
D.17600
Answer: D.17600
Explanation: Price at which the TV set is bought = Rs. 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = Rs. 15625
The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375
= Rs. 16000
The price at which the TV should be sold to get a profit of 10% if no discount was offered = 16000 * 110/100
= Rs. 17600
Answer: D
Question: HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 48, then the other number is?
A.99
B.66
C.132
D.264
Answer: A.99
Explanation: 12 * 396 = 48 * x
x = 99
ANSWER:A
Question: The length of a room is 5 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.
A.21375
B.25750
C.26550
D.26750
Answer: A.21375
Explanation: Area = 5 × 4.75 sq. metre.
Cost for 1 sq. metre. = Rs. 900
Hence total cost = 5 × 4.75 × 900
= 5 × 4275 = Rs. 21375
Answer is A.
Question: A circular rim 28 inches in a diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes B revilutions per second, how many revilutions per minute does the larger rim makes in terms of B?
A.a) 48pi/B
B.b) 75m
C.c) 48B
D.d) 24B
Answer: C.c) 48B
Explanation: distance covered by a circular wheel per sec* = 2*pi* r * n
where n is number of revolution
So we know the smaller rim makes B rev per sec so the inches coverd SR per sec = 28 * pi* B
the problem the say SR rotates the same number of inches as the LR.
The inches covered by the LR per sec = 35 * pi*Y
So equate both u will get Y = 4/5 B
Theis is in sec we need the answer in min so 48B
answer is C
Question: for every correct answer 4 is awarded but for a wrong answer 2 is deducted. If there are a total of 150 questions and sukanya scores 480 how many answers of sukanya were correct?
A.110
B.120
C.130
D.140
Answer: C.130
Explanation: If x questions are correct, then
4x-2(150-x) = 480
6x= 780
x=130
so 130 questions are correct.
ANSWER:C
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle
A.18 cm
B.16 cm
C.40 cm
D.20cm
Answer: C.40 cm
Explanation: Explanation:
Let breadth =x cm
Then, length =2x cm
Area =x×2x=2x^2 sq.cm.
New length =(2x−5) cm
New breadth =(x+5) cm
New area =(2x−5)(x+5) sq.cm.
Given that, new area = initial area +75 sq.cm.
⇒(2x−5)(x+5)=2x^2+75
⇒2x^2+10x−5x−25=2x^2+75
⇒5x−25=75
⇒5x=75+25=100
⇒x=1005=20 cm
Length =2x=2×20=40 cm
Answer: Option C
Question: Two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3 in what ratio must these mixtures be mixed to form new mixture containing half milk and half water?
A.7:6
B.7:1
C.7:5
D.7:2
Answer: C.7:5
Explanation: Answer with Explanation: Step (i): Let C.P. of 1 liter milk be Re.1 Ratio of mixture in A = 4:3  Milk in 1 litre mixture in A = 4/7 lit,  C.P of 1 litre mix of A = Rs. 4/7 Ratio of mix in B = 2:3  Milk in 1 litre mixture in B = 2/5 lit,  C.P of 1 litre mix of B = Rs. 2/5 Ratio of new mixture = 1:1  Milk in 1 litre mixture = 1/2 lit,  C.P of 1 litre mix = Rs. ½ (Mean price = re. ½ ) Step (ii) By the rule of alligation C.P. of 1 lit mix. In A (d) C.P. of 1 lit mix. In B (c) 4/7 2/5
Mean Price (m)
m-c (1/2 – 2/5) = 1/10 1/2 d-m (4/7 – 1/2) = 1/14
Required Ratio = 1/14 : 1/10 = 7 : 5
Answer:C
Question: In how many ways Chief Minister and Minister be elected from a team of 14 members?
A.162 ways
B.192 ways
C.182 ways
D.172 ways
Answer: C.182 ways
Explanation: To do this, if captain is elected first, then we have 14 ways of doing this.
For election of vice-captain, we have only 13 ways left, Bcoz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)
So, the ans is 14*13= 182 ways.
C
Question: y selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A.8
B.9
C.7
D.5
Answer: A.8
Explanation: 80% --- 12
120% --- ?
80/120 * 12 = 8
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 4 years each is 50 years. what is the age of the eldest child ?
A.15
B.8
C.18
D.None of these
Answer: C.18
Explanation: Explanation:
Let x = the youngest child. Each of the other four children will then be x+4, x+8, x+12, x+16.
We know that the sum of their ages is 50 .
so, x+(x+4)+(x+8)+(x+12)+(x+16) = 50
x= 2
The youngest child is 2 years old.
Age of eldest child is = 2+16 = 18
Answer: C
Question: (64 - 12)2 + 4 x 64 x 12 = ?
A.5246
B.4406
C.5126
D.5776
Answer: D.5776
Explanation: Explanation :
Here, the given statement is like (a - b)2 + 4ab where a= 64 and b = 12
(a - b)2 + 4ab = (a2 - 2ab + b2) + 4ab = a2 + 2ab + b2 = (a + b)2
Hence (64 - 12)2 + 4 x 64 x 12 = (64 + 12)2 = 762 = 5776. Answer : Option D
Question: The forth proportional to 10,8,15 is?
A.15
B.12
C.18
D.20
Answer: B.12
Explanation: Let the fourth proportional to 10,8,15 be x
then 10:8::15:x
10x = 8*15
x = 12
Answer is B
Question: In an examination a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
A.176
B.9
C.87
D.11
Answer: D.11
Explanation: Let the number of papers be x. Then,
63x + 20 + 2 = 65x
= 2x = 22
= x = 11.
Answer:D
Question: A person bought 110 glass bowls at a rate of Rs. 10 per bowl. He sold 100 of them at Rs. 14 and the remaining broke. What is the percentage gain for A?
A.40
B.300/11
C.243/7
D.279/11
Answer: B.300/11
Explanation: CP=110*10=1100 and SP=100*14=1400
Gain %= 100*(1400-1100)/1100= 300/11
ANSWER:B