RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Rs.8000 become Rs.11256 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
A.6 YEARS
B.7
C.5
D.3
Answer: B.7
Explanation: Explanation:
11256 = 8000(21/20)N
(21/20)7 = (21/20)N => N = 7
Answer: Option B
Question: In N is a positive integer less than 200, and 14N/60 is an integer, then N has how many different positive prime factors?
A.2
B.3
C.5
D.6
Answer: B.3
Explanation: 14n/60 must be an integer. => 7n/30 must be an integer. Hence n must be a multiple of 2*3*5.
=> n has 3 different prime integers and cannot have more than 3 different prime integers because 2*3*5*7=210 > 200 ANSWER:B
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
A.432
B.672
C.278
D.266
Answer: A.432
Explanation: 2(3x + x) = 96
l = 36 b = 12
lb = 36 * 12 = 432
Answer: A
Question: If A : B= 1 : 2 and B : C = 3 : 4, then A : B : C is:
A.9:6:4
B.1:2:3
C.3:6:9
D.12:25:87
Answer: A.9:6:4
Explanation: A:B=1:2, B:C=3:4, A:B:C=3Ã—3:3Ã—2:1Ã—4
â‡’ 9:6:4
Answer: A.
Question: The average expenditure of a labourer for 6 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is
A.70
B.72
C.75
D.78
Answer: D.78
Explanation: Income of 6 months = (6 × 85) – debt
= 510 – debt
Income of the man for next 4 months
= 4 × 60 + debt + 30
= 270 + debt
∴ Income of 10 months = 780
Average monthly income = 780 ÷ 10 = 78
Answer D
Question: Which of the following is always odd?
A.Sum of two odd numbers
B.Diff. of two odd numbers
C.Prod. of two odd numbers
D.none of these
Answer: C.Prod. of two odd numbers
Explanation: Solution
Product of two numbers is always odd.
Answer C
Question: Statement: Concerns have risen about air pollution in Indian cities. A recent report by the World Health Organization (WHO) states that of the 20 most polluted cities in the world, 13 are in India.
Action:
I. Pollution committee should immediately take certain measures to control the pollution levels in India.
II. Licenses of polluting industries should be cancelled and owners should be put behind the bars.
A.Only I follows
B.Only II follows
C.Either I or II follows
D.Neither I nor II follows
Answer: A.Only I follows
Explanation: Explanation: Only one follows. The given statement describes the problem and the actions mention the solutions for the same. Second option is to be avoided because it is a negative and harsh approach. As listed in tips and tricks section also Options which are negative in nature and provide harsh solutions should be avoided.
ANSWER IS A
Question: What is the area of a triangle with the following vertices L(1, 3), M(3, 1), and N(3, 5) ?
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: There is a direct formula to calculate the are of a triangle based on coordinates of its vertices and one could use it to solve this problem.
Though if you make a diagram minimum simple calculations will be needed:
Answer: B.
Question: John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 150% of John's weight. Which of these 5 people weighs the least?
A.John
B.Susan
C.Sam
D.Mark
Answer: B.Susan
Explanation: John weighs twice as much as Susan --> J=2S --> John cannot weigh the least;
Susan's weight is 60% of Sam's weight --> S=0.6*Sam --> Sam cannot weigh the least;
Mark weighs 50% of Lynn's weight --> M=0.5*L --> Lynn cannot weigh the least;
Lynn weighs 150% of John's weight --> L=1.9*J --> John cannot weigh the least (we already know that);
As you can see the answer is either Susan (S) or Mark (M). To compare their weights we should express their weights in regards of the same person: M=0.5*L=0.5*(1.5*J)=0.75*J and from J=2S, S=0.5*J --> Susan weights the least: Susan's weight is 50% of that of John and Mark's weight ismore than 50%of that of John.
Answer: B.
Question: If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss.
A.$ 50
B.$ 58
C.$ 52
D.$ 60
Answer: A.$ 50
Explanation: Cost of 20 lollipops = $90
Sold each lollipop for $2
So he sold 20 lollipops for $(20 × 2) = $40
Loss = $(90 – 40) = $50
Therefore, loss = $ 50.
Answer:A
Question: A man buys an article for $100. and sells it for $120. Find the gain percent?
A.10%
B.15%
C.25%
D.20%
Answer: D.20%
Explanation: C.P. = $100
S.P. = $120
Gain = $20
Gain% = 20/100 *100 = 20%
Answer is D
Question: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:
A.Rs. 3100
B.Rs. 6240
C.Rs. 6500
D.Rs. 9600
Answer: B.Rs. 6240
Explanation: Explanation:
To obtain Rs. 10, investment = Rs. 96.
To obtain Rs. 650, investment = Rs. 96	/10 *650=Rs. 6240.
ANSWER IS B
Question: A car covers a distance of 624 km in 3 hours. Find its speed?
A.104 kmph
B.194 kmph
C.208 kmph
D.174 kmph
Answer: C.208 kmph
Explanation: 624/3
=208 kmph
Answer:C
Question: Arjun and Sajal are friends . each has some money. If Arun gives Rs. 30 to Sajal, the Sajal will have twice the money left with Arjun. But, if Sajal gives Rs. 10 to Arjun, the Arjun will have thrice as much as is left with Sajal. How much money does Sajal have?
A.Rs 34
B.Rs 35
C.Rs 36
D.Rs 37
Answer: A.Rs 34
Explanation: If arun had x rs , and sejal had y rs, then
2*(x-30) = y+30 or 2x-60= y+30 or y= 2x-90
and
x+10 = 3*(y-10)= 3*(2x-90-10)=6x-300
or
5x=310
x= 310/5 = 62 Rs with Arjun
y= 2x-90 = Rs 34 with Sajal
ANSWER:A
Question: In a class, there are 24 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
A.6
B.12
C.18
D.16
Answer: D.16
Explanation: Explanation:
Let the number of boys be x. Then, (3/4)x = 24 or x = 24 x(4/3) = 32.
If total number of students is y, then (2/3) y = 32 or y = 32 x (3/2) = 48.
Therefore Number of girls in the class = (48 - 32) = 16.
Answer: D
Question: In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 30% of all the employees are men .What % of all the employee went to the picnic?
A.33%
B.34%
C.35%
D.36%
Answer: B.34%
Explanation: total men in company 30% means total women in company 70%(assume total people in company 100%)
no of men employees attended picnic=30x(20/100)=6
no of women employees attended picnic=70x(40/100)=28
total percentage of employees attended the picnic=6+28=34%
ANSWER:B
Question: If |x| = 4x - 2, then x = ?
A.1
B.2
C.1 and 1/2
D.-1/2
Answer: B.2
Explanation: Answer:
Approach:
Substituted option A i.e x=2. Inequality satisfied.
B
Question: How many even 4-digit numbers can be formed, so that the numbers are divisible by 4 and no two digits are repeated?
A.336
B.784
C.1120
D.1804
Answer: C.1120
Explanation: Number is divisible by 4 if the last two digits form a number divisible by 4.
Therefore last two digits can be:
00;
04;
08;
12
16;
...
96.
Basically multiples of 4 in the range 0-96, inclusive. Multiples of 4 in a range 0-96, inclusive are last multiple in the range − first multiple in the range4+1=25last multiple in the range − first multiple in the range4+1=25
But 3 numbers out of these 25 are not formed with distinct digits: 00, 44, and 88. Hence the numbers we are looking for can have only 22 endings.
If there is 0 in the ending (04, 08, 20, 40, 60, 80 - total 6 such numbers), then the first and second digit can take 8 and 7 choices each = 56 choices total. As there are 6 numbers with 0 in ending, hence total 6*56=336.
If there is no 0 in the ending (total 22 - 6 with zero = 16 such numbers), then the first digit can take 7 choices (10 - 2 digits in the ending and zero, so total 3 digits = 7, as 4-digit number can not start with zero) and the second digit can take 7 choices too (10 digits - 3 digits we've already used) = 7*7=49 choices total. As there are 16 numbers without zero in ending, hence total 16*49=784.
TOTAL: 336+784=1120
Answer: C.
Question: A retailer bought a coat at wholesale and marked it up 90% to its initial price of $76. By how many more dollars does he need to increase the price to achieve a 100% markup?
A.2
B.4
C.6
D.8
Answer: B.4
Explanation: Let x be the wholesale price.
Then 1.9x= 76 and x = 76/1.9 = 40.
To achieve a 100% markup, the price needs to be $80.
The retailer needs to increase the price by $4 more.
The answer is B.
Question: If an object travels at ten feet per second, how many feet does it travel in two hours?
A.60000
B.30000
C.18000
D.72000
Answer: D.72000
Explanation: If an object travels at 10 feet per second it covers 10x60 feet in one minute, and 10x60x2x60 feet in two hour.
Answer = 72000 Answer: D
Question: The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 30∘, the temperature of Friday was :
A.40∘
B.39∘
C.38∘
D.30∘
Answer: C.38∘
Explanation: Explanation:
M+T+W+Th=(4×38)=152
Monday temparature is 30. So T+W+Th=(152-30)=122
T+W+Th+F=(4×40)=160
F = (160-122)=38∘
Correct Option: C
Question: Fred and Sam are standing 40 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 4 miles per hour and Sam walks at a constant speed of 4 miles per hour, how many miles has Sam walked when they meet?
A.5
B.9
C.20
D.30
Answer: C.20
Explanation: relative distance =40 miles
relative speed =4+4 =8 miles per hour
time taken =40/8=5 hours
distance travelled by sam =4*5=20 miles=C
Question: What day of the week will 22 Apr 2222 be?
A.Monday
B.Tuesday
C.Sunday
D.Thursday
Answer: A.Monday
Explanation: Explanation:
22 Apr 2222 = (2221 years + period from 1-Jan-2222 to 22-Apr-2222)
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 2001-2200
= Number of odd days in 200 years
= 5 x 2 = 10 = 3
(As we can reduce perfect multiples of 7 from odd days without affecting anything)
Number of odd days in the period 2201-2221
= 16 normal years + 5 leap years
= 16 x 1 + 5 x 2 = 16 + 10 = 26 = 5 odd days
Number of days from 1-Jan-2222 to 22 Apr 2222
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 22(Apr) = 112
112 days = 0 odd day
Total number of odd days = (0 + 3 + 5 + 0) = 8 = 1 odd day
1 odd days = Monday
Hence 22 Apr 2222 is Monday.
Answer: Option A
Question: If q, r, and s are consecutive even integers and q < r < s, which of the following CANNOT be the value of s^2 – r^2 – q^2?
A.-20
B.0
C.8
D.12
Answer: C.8
Explanation: s > r > q are consecutive even integers
Testing for s2−r2−q2
I: For s = 0, r = -2, q = -4,
s2−r2−q2=−20
II: For s = 2, r = 0, q = -2
s2−r2−q2=0
III: For s = 4, r = 2, q = 0
s2−r2−q2=12
Step II & Step III have consecutive representation of values of s, r, q. No other combination is possible.
8 cannot be the answer as for value of s = 6 & above, the resultant would be greater than 12
Answer = C
Question: A bag contains 5 white balls, 4 black balls, and 3 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
A.0.25
B.0.15
C.0.35
D.0.45
Answer: A.0.25
Explanation: Each ball has an equal probability of being the third ball drawn.
P(3rd ball is red) = 3/12 = 0.25
The answer is A.
Question: A certain team consists of 4 professors and 5 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)
A.74
B.85
C.96
D.107
Answer: A.74
Explanation: The total number of ways to form a group of 3 from 9 people is 9C3 = 84
The number of ways to form a group without a professor is 5C3 = 10
The total number of ways to form a valid group is 84 - 10 = 74.
The answer is A.
Question: An plane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/3 hours, it must travel at a speed of ?
A.100
B.720
C.1100
D.940
Answer: B.720
Explanation: We know
Distance = speed * time
= 240 * 5
= 1200 km
Now to cover 1200 km in 5/3 hrs ,
speed = distance / time
= 1200 / (5/3)
= 720 KMPH
Ans- B
Question: The sector of a circle has radius of 21 cm and central angle 270o. Find its perimeter?
A.145 cm
B.135 cm
C.121 cm
D.141 cm
Answer: D.141 cm
Explanation: Perimeter of the sector = length of the arc + 2(radius)
= (270/360 * 2 * 22/7 * 21) + 2(21)
= 99 + 42 = 141 cm
Answer: D
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
A.2221
B.2882
C.3600
D.2882
Answer: C.3600
Explanation: P = 144(100/5)2 => P = 3600.Answer: C
Question: In a certain country vehicle number plates come in a certain format - XXX - XXXX . The first 3 places are filled with letters of an alphabet and the next 4 spaces are filled with numbers starting from 0001. What is the maximum number of vehicle number plates that we can have.
A.175742424
B.175742425
C.175742434
D.175742444
Answer: A.175742424
Explanation: The first set of XXX can be filled with letters only.
So the number of ways is 26*26*26 (Since there are 26 letters in an alphabet and we can use any letter in all 3 places, since repetition is allowed)
The second set of XXXX can be filled with numbers ranging from 0,1,2,3,4,5,6,7,8,9
Number of ways by which we can have letters in this is 10 * 10 * 10 * 10 since we can have any number at any place, since repetition is allowed
= (10*10*10*10) - 1 (we are subtracting 1 since one of the numbers can be 0000 which is not allowed since numbers start with 0001)
Total number of vehicles can be
=26*26*26 * (10000-1)
=175742424
Answer: A
Question: A 600 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A.800
B.700
C.360
D.370
Answer: B.700
Explanation: Speed = 600/18 = 100/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 100/3
=> x = 1300 m.
L=1300-600 =700m
Answer: Option B
Question: For each positive integer,the quantitySn is defined such thatSn+2=(Sn)^3 -S(n+1).in addition ,S2=1.then which of the following must be true.
A.a)S4 +S3 +1=0
B.b)(S1)^2 +S4 +2=0
C.c) ifS1=-1thenS4 is also equal to-1.
D.d) ifS4 =-7thenS1=-2.
Answer: D.d) ifS4 =-7thenS1=-2.
Explanation: Since all the answers include S4, let's start from there.
S4=S2^2-S3
S3=S1^2-S2
Substituting S3 into the first equation we get:
S4=S2^2-(S1^2-S2)
Since S2=1
S4=1-(S1^2-1)
S4=2-S1^2
We need S1^2 in order to calculate S4.
E) provides S1 and from there we can calculate S4:
S4=2-(-3)^2
S4=-7
Correct.
As a side note, I would be very careful with answers in the formif S4=x then S1=y(such as option D ), as we are dealing with S1^2 (not S1), S1 can have two different values and it can not be determined for sure which root is the right answer.
For example:
If S4=-7 then S1=3 :
if we substitute S4 with - 7 we get:
-7=2-S1^2
S1^2=9
now S1 can be +/-3 !!
D
Question: The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 1. If p is any prime number then f(p)=
A.p-1
B.p-2
C.(p+1)/2
D.(p-1)/2
Answer: A.p-1
Explanation: Well as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).
If we consider p=7 how many numbers are less than 7 having no common factors with 7: 1, 2, 3, 4, 5, 6 --> 7-1=6.
Answer: A.
Question: There was a grandmother in a village that had a grandchild. Upon asking her grandchild’s age she told that she is as older as many days old as her daughter’s age in weeks and as many days as her own age in years. The sum of the ages of three is 130. Then how old is the child?
A.127
B.117
C.137
D.147
Answer: A.127
Explanation: let the ages be a,b and c of grandmother,daughter and granddaughter respectively.
we have 3 equations as:
52b=365c
and a=365c
also,a+b+c=130
solving this,i m getting age of granddaughter about 127 days.
ANSWER:A
Question: How many different positive numbers smaller than 2∗10^8 can be formed using the digits 1 and 2 only?
A.256
B.510
C.512
D.766
Answer: A.256
Explanation: Any combination of number starts with digit "2" is greater than 2*10^8
Total possible combinations with 1 and 2 = 2^9
Total possible combinations with 2 as starting digit = 2^8
Numbers smaller than 2*10^8 can be formed = 2^9 - 2^8
= 2^8(2-1)
= 256.
Answer : A
Question: In a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every three silver coins. With the addition of 15 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information, how many total coins are there now in this collection (after the acquisition)?
A.124
B.135
C.146
D.157
Answer: B.135
Explanation: Initially the number of gold coins and silver coins is 2k and 6k.
After adding gold coins, the number of coins is 3k and 6k.
Thus k = 15 and the total number of coins is 9k = 135.
The answer is B.
Question: Given that p/q < 1, and both p and q are positive integers, which one of the following must be greater than 1?
A.p/q^2
B.p^2/q
C.p^2/q^2
D.q/p
Answer: D.q/p
Explanation: Since p/q is a fraction q must always be > 1
Given -
Which one of the following must be greater than 1
We can get the result one only when the denominator in p/q ( Which is less than 1 ) becomes numerator..
Among the given options only (D) has the required characteristic we are looking for...
Hence answer will be (D)
Question: A , B , C start a business each investing Rs 20,000 . After 5 month A withdraws Rs 5000, B withdraws Rs 4000 & C invests Rs 6000 more . At the end of the year, a total profit of Rs 69900 was recorded . Find the share of A
A.20600
B.20700
C.20500
D.20400
Answer: C.20500
Explanation: Explanation :
A : B : C = (20000*5 +15000*7) : (20000*5 +16000*7) : (20000*5 +26000*7)
= (20*5 + 15*7) : (20*5 + 16*7) : (20*5 + 26*7)
= 205 : 212 : 282
A's share = 69900 * 205/(205+212+282) = 69900*205/699 = 20500. Answer : Option C
Question: A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 224 customers. How many more new tables than original tables does the restaurant have?
A.12
B.16
C.20
D.24
Answer: D.24
Explanation: If all the tables seated 4, the number of customers could be 4*40 = 160.
224-160 = 64, so 64/2 = 32 tables must be new tables seating 6 people.
The number of tables seating 4 people is 40-32 = 8.
The number of new tables is 32-8 = 24 more than the number of old tables.
The answer is D.
Question: Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams could be selected from the eight candidates?
A.56
B.120
C.210
D.1120
Answer: D.1120
Explanation: 8 total employees 5 potential executives. = 8!/5!3! = 56
Those 5 executives are made up of P, T, W,W,W. Use an anagram grid here to determine the total here. = 5!/3! = 20.
Multiply 56 by 20 and your answer is 1120.
ANS:D.
Question: John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment R that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
A.a. 3/5
B.b.2/3
C.c.7/10
D.d.3/4
Answer: A.a. 3/5
Explanation: X(10) --- Net(0) --- R(-15) = -15/-10 = 3/2.
So, John invested 3/3+2 = 3/5 of his savings in investment X. Ans (A).
Question: What is the total surface area in square meters of a rectangular solid whose length is 10 meters, width is 9 meters, and depth is 6 meters?
A.400 m2
B.404 m2
C.408 m2
D.401 m2
Answer: C.408 m2
Explanation: Surface Area of a cuboid = 2(lb+bh+lh) = 2(10*9+9*6+10*6)=2(90+54+60)=2*204=408 m2
Answer : C
Question: An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
A.28,000 degrees / second
B.58,000 degrees / second
C.18,000 degrees / second
D.38,000 degrees / second
Answer: C.18,000 degrees / second
Explanation: 3000 revolutions / minute
= 3000*360 degrees / 60 seconds
= 18,000 degrees / second
correct answer C
Question: The list price of an article is Rs.70. A customer pays Rs.61.74 for it. He was given two successive discounts, one of them being 10%. The other discount is?
A.8%
B.7%
C.10%
D.2%
Answer: D.2%
Explanation: Explanation:
70*(90/100)*((100-x)/100) = 61.74
x = 2%
Option D
Question: Find the area of circle whose radius is 5m?
A.78.57
B.81.54
C.71.77
D.72.88
Answer: A.78.57
Explanation: 22/7 * 5 * 5
= 78.57
Answer:A
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $33. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
A.xy/297
B.11xy/3
C.3xy/11
D.297/(xy)
Answer: D.297/(xy)
Explanation: The area of the carpet in feet is xy.
The area in square yards is xy / 9.
The price per square yard is 33 / (xy/9) = 297/(xy).
The answer is D.
Question: Find the number of ways in which 3 different beads can be arranged to form a necklace.
A.30
B.20
C.1
D.60
Answer: C.1
Explanation: Since in forming a necklace clockwise and anticlockwise arrangements are not different, therefore,3 beads can be arranged to form a necklace in(3-1)! /2ways
= 2/2 = 1 way
Answer is C
Question: Of the 30 employees of a certain company, twice as many are in the sales department as are in all of the other departments combined. What is the number of employees in the sales department?
A.15
B.20
C.30
D.40
Answer: B.20
Explanation: This is ratio problem solving question.
I will prefer to use RMV box.
R M V
Sales 2 10 20
Other 1 10 10
Total 3 10 30
Answer is 20. i.e B
Question: If y is 80% greater than x, than x is what % less than y?
A.20
B.25
C.33 1/3
D.44 4/9
Answer: D.44 4/9
Explanation: Let x = 100
So y = 180
We want percentage change.
So, (100-180)/180
= -44.44%
= 44 4/9% lesser than y.
Hence option (D).
Question: Look at this series: 26, 24, 20, 18, 14, __What number should come next?
A.10
B.12
C.13
D.17
Answer: B.12
Explanation: This series is alternatively subtracted first 2 is subtracted, then 4 is subtracted then 2, and so on.
Answer is option B (12)
Question: If x^2 = y^3 , where x and y are non negative and non zero integers, what is the greatest possible value of x and y from options below?
A.x=27 , y=7
B.x=27, y=9
C.x=25, y=5
D.x=9, y=3
Answer: B.x=27, y=9
Explanation: A. x=27 y=7 729 = 343 wrong
B. x=27, y=9 729 = 729 right
C. x=25, y=5 625 = 125 wrong
D. x=9, y =3 81 = 27 wrong
E. x=121, y =11 14641 = 1331 wrong
answer is B.
Question: A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?
A.7
B.8
C.4
D.2
Answer: D.2
Explanation: 70 * (10/100) = 7
Wine Water
87 1/2% 12 1/2%
87 1/2% ------- 63
12 1/2% -------? => 9-7=2
Answer: D
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
A.37 min
B.55 min
C.47 min
D.67 min
Answer: C.47 min
Explanation: C
47 min
Let the length of the train be x m.
When a train crosses an electric pole, the distance covered is its own length.
So, x = 12 * 36 * 5 /18 m = 120 m.
Time taken to cross the platform = (120 +350)/ 36 * 5/18 = 47 min.
Question: I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I can have to pack and distribute?
A.25
B.37
C.54
D.65
Answer: A.25
Explanation: Explanation : . The required number will be obtained by taking LCM of 2, 3 and 4 and adding 1 into it. The number so obtained is 25.
Answer A