RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
A.1.4
B.1.8
C.1.2
D.1.5
Answer: D.1.5
Explanation: M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + x = 9 -2x
3x = 4.5
x = 1.5
Answer:D
Question: The average age of 3 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is
A.22
B.30
C.25
D.38
Answer: C.25
Explanation: total age increased = (3 * 2) years = 6 years.
Sum of ages of two new men = (21 + 23 + 6) years = 50 years
Average age of two new men = (50/2) years = 25 years.
Answer: C
Question: A retail store sells higher end dresses for $40 each and lower end dresses for $20 each. On every higher end dress the retail store makes a profit of $4 while on every lower end dress it makes a profit of $1. If on a given day the store's sales amounted to $400, which of the following cannot be the profit made on that day?
A.$26
B.$27
C.$30
D.$34
Answer: B.$27
Explanation: $27 is the only option that does not fit into a combination of higher end and lower end sales profits, given the total sales of the day. Answer: B
Question: I walk a certain distance and ride the car back taking a total time of 33 minutes. I could walk both sides in 45 min. How long would it take me to ride both ways?
A.19min
B.20min
C.21min
D.22min
Answer: C.21min
Explanation: Explanation :
Time taken in walking a certain distance
from X and Y = 22 1/2 min
Time taken in riding the same distance
= 33 - 22 1/2 = 10 1/2 min
It will take 21 min to ride both ways.
Answer : C
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 20%?
A.228
B.480
C.512
D.288
Answer: C.512
Explanation: SP = 800
Profit = 25%
CP = (SP)*[100/(100+P)]
= 800 * [100/125]
= 640
Loss = 25% = 25% of 640 = Rs.128
SP = CP - Loss = 640 - 128 = Rs.512
Answer: C
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $650 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $725 as interest. What was the value of his total savings before investing in these two bonds?
A.1000
B.1,250
C.2,250
D.3,250
Answer: D.3,250
Explanation: So, we know that Shawn received 20% of the amount he invested in a year. We also know that in one year Shawn received $325, thus 0.2x = $325 --> x = $1625
Since, he invested equal sums in his 2 bonds, then his total savings before investing was 2*$1,625 = $3,250
Answer D
Question: Calculate the ratio between x and y if 30% of x equal to 50% of y?
A.4 : 5
B.3 : 5
C.3 : 7
D.3 : 2
Answer: B.3 : 5
Explanation: Explanation:
30 x = 50 y
x: y = 30: 50 = 3 : 5
Answer:B
Question: If the wages of 6 men for 15 days be Rs.2100, then find the wages of
for 12 days.
A.Rs.2420
B.Rs.2500
C.Rs.2520
D.Rs.2020
Answer: C.Rs.2520
Explanation: . Let the required wages be Rs. x.
More men, More wages	(Direct Proportion)
Less days, Less wages	(Direct Proportion)
Men 6: 9 : :2100:x
Days 15:12
Therefore (6 x 15 x x)=(9 x 12 x 2100)  x=(9 x 12 x 2100)/(6 x 15)=2520
Hence the required wages are Rs. 2520.
Answer is C
Question: To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
A.475 pieces.
B.575 pieces.
C.675 pieces.
D.775 pieces.
Answer: C.675 pieces.
Explanation: Solution:
Let xx be the number of days the company worked. Then 25x is the number of parts they planned to make. At the new production rate they made:
3⋅25+(x−3)⋅30=75+30(x−3)
Therefore: 25x=75+30(x−3)−100
25x=75+30x−90−100
190−75=30x−25
115=5x
x=23
So the company worked 23 days and they made 23⋅25+100=675 pieces.
Answer C
Question: Let p be a prime number. If N = 8p, how many distinct even divisors does N have?
A.1
B.4
C.5
D.2
Answer: D.2
Explanation: The correct answer is D. There are two: 2 and 2p.
8p = 2*2*2p = (2*2)*2p. Since we care only about distinct divisors, we ignore the fact that 2 appears three times.
Question: A boy is travelling from his home to school at 12 km/hr and reached 7 min late. Next day he traveled at 16 km/hr and reached 8 min early. Distance between home and school?
A.12km
B.13km
C.14km
D.15km
Answer: A.12km
Explanation: Let the distance be x
T1 = x/12 hr
T2 = x/16hr
Difference in time = 7+8 = 15 =1/4hr
x/12-x/16 = 1/4
x/48 = 1/4
x = 12 km
Answer is A
Question: What is the lowest positive integer that is divisible by each of the integers 1 through 8 inclusive?
A.420
B.840
C.1260
D.2520
Answer: B.840
Explanation: We have to find the LCM of 1, 2, 3, 2^2, 5, 2*3, 7, and 2^3.
The LCM is 1*2^3*3*5*7= 840
The answer is B.
Question: Find the odd man out
6, 26, 106, 426, 1706, 4325, 27304
A.6
B.26
C.426
D.4325
Answer: D.4325
Explanation: 1*4+2 = 6
6*4+2 = 26
26*4+2 = 106
106*4+2 = 426
426*4+2 = 1706
1706*4+2 = 6826
6826*4+2= 6826
ANSWER:D
Question: The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 520 miles away. The pilot recognizes that the current engine, which can fly only 8 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible?
A.5
B.4
C.12
D.40
Answer: A.5
Explanation: Actual miles/gallon is = 520/40 = 13 miles/gallon.
Current engine miles/gallon is 8 miles/gallon.
Additional 5 miles/gallon is required to match the actual mileage.
IMO option A.
Question: A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. What will be the remainder when nm is divided by 6?
A.2
B.1
C.0
D.3
Answer: C.0
Explanation: n = 9x + 6
m = 12y + 4
nm = (9x + 6)*(12y + 4) = 108xy + 36x + 72y + 24
Remainder of nm/6 = (108xy + 36x + 72y + 24)/6
Observe that the first three terms are a multiple of 6
hence there will be no remainder
Correct Option: C
Question: The value of a laptop depreciates at the rate of 30% every year. It was purchased 2 years ago. If its present value is Rs. 3430, its purchase price was
A.6000
B.6500
C.7000
D.7500
Answer: C.7000
Explanation: Explanation:
= Rs.7000
Answer: C
Question: If x = -3/8 and y = -1/2, what is the value of the expression -2x – y^2?
A.-3/2
B.-1
C.1
D.1/2
Answer: D.1/2
Explanation: -2X- y^2
-2x-3/8 - (-1/2)^2
3/4-1/4
1/2
D correct
Question: There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
A.21
B.45
C.50
D.55
Answer: A.21
Explanation: 8C3 [Select any four] - 7C3 [Select all hard backs] = 21
A
Question: What should be the minimun mark up percentage such that after giving the discount of 200/3% ., there will neither a loss nor a profit ?
A.133.3%
B.100%
C.neither gain nor loss
D.200%
Answer: C.neither gain nor loss
Explanation: Let CP = 100.
Discount = 200/3%.
Let 200% was the mark up.
MP = 100 + 200% of 100 = 300.
Now, after discount
300 - (200/3)% of 300
= 300 - 200 = 100.
So, in transaction neither gain nor loss occurs.
ANSWER - OPTION C
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20% ?
A.30 %
B.25 %
C.15 %
D.20 %
Answer: D.20 %
Explanation: Explanation:
SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
ANSWER IS D
Question: What is the unit digit in (632)^179×(615)^316×(341)^476
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: unit digit in (632)179
= unit digit in (4)1797
= unit digit in [(42)898 × 4]
= unit digit in [16898 × 4]
= unit digit in (6 × 4)
= 4
unit digit in (615)316
= unit digit in (5)316
= 5
unit digit in (341)476
= unit digit in (1)476
= 1
Hence, unit digit in (6324)1797 × (625)316 × (341)476
= unit digit in [4 × 5 × 1]
= 0
A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
A.33/96
B.33/91
C.33/67
D.33/28
Answer: B.33/91
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is
= ¹²C₄/¹⁵C₄
= (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12)
= 33/91
Answer: B
Question: Find the sum of all 2 digit numbers divisible by 3.
A.16387
B.26787
C.1267
D.1665
Answer: D.1665
Explanation: Explanation:
No explanation is available for this question!
ANSWER:D
Question: If the simple interest on a certain sum of money after 3 1⁄8 years is 1⁄4 of the principal, what is the rate of interest per annum?
A.6%
B.4%
C.8%
D.5%
Answer: C.8%
Explanation: Explanation :
Let the the sum of money(P) be Rs.x
Time(T) = 3 1⁄8 Years = 25⁄8 Years
Simple interest (SI) = x⁄4
Rate of interest per annum(R) = 100×SI/PT=100×x/4/x × 25/8
=100× x ×8/4× x × 25
=8%
Answer : Option C
Question: Enrollment in City College in 1980 was 83 1/3 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990?
A.10%
B.16 2/3 %
C.20%
D.25%
Answer: C.20%
Explanation: Let 100 is the enrollment in 1990.
Enrollment in 1980= 83.3
% increase= (Increase from 1980 to 1990)/Enrollment in 1983
=>16.7*100/83.3 =20%
ANSWER:C
Question: Mary is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of white, 3 morsels of wheat, and 1 morsel of rye. The pattern repeats after she leaves the morsel of rye. If Mary drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
A.rye − white − white
B.white − white − wheat
C.wheat − rye − white
D.wheat− wheat − wheat
Answer: A.rye − white − white
Explanation: In a single round Mary drops 6 morsels.
Remainder (2000/6) = 2
Final action = 2 drops of Wheat --> Options B, C, D and E can be eliminated
Answer: A
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
A.32 years
B.36 years
C.40 years
D.48 years
Answer: C.40 years
Explanation: let the age be x
2/5x=x (2/5 the age of son = mothers age)
after 8 yrs
2/5x+8=x+8/2
4=x/10
x=40.
ANSWER:C
Question: Express a speed of 36 kmph in meters per second?
A.10 mps
B.14 mps
C.18 mps
D.19 mps
Answer: A.10 mps
Explanation: 36 * 5/18 = 10 mps
Answer: A
Question: A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
A.9:9
B.9:8
C.9:4
D.9:1
Answer: B.9:8
Explanation: (3*6 + 6*6): (4*12)
54:48 => 9:8
Answer: B
Question: How many different possible arrangements D can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's?
A.360
B.720
C.900
D.1800
Answer: C.900
Explanation: Total ways for arranging without restriction = 7!/ (2!2!) { 2! is becoz of two T's and other 2! for two I's)
Restriction : atleast one character between I's = Possible ways - both I's together i.e.o character between I's
_ _ _ _ _ (I I)
Both I's Together = 6! (Assuming 2 I's as one unit) /2!(for 2 T's) * 2! (No of arrangements of 2 I's)/2! (for 2 I's)
=6!/2!
Therefore ans D= 7!/ (2!2!) -6!/2! = 900
HENCE C.
Question: A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 1.1 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
A.1.0
B.1.2
C.1.4
D.1.6
Answer: A.1.0
Explanation: 72 km/hr = 1.2 km/min
The total distance is 1.2 km.
1.2 / 1.2 = 1 minute
The answer is A.
Question: A tour group of 25 people paid a total of $620 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
A.$22
B.$23.56
C.$24
D.$25.20
Answer: B.$23.56
Explanation: B.
Question: Will is 7 years older than Judy while George is 5 years younger than Judy. What is the age of Judy, If the sum of all of their ages is 32 years?
A.17 years
B.20 years
C.10 years
D.15 years
Answer: C.10 years
Explanation: Let Judy's age be x, Will's age be x+7 and George's age be x-5
x + x+7 + x-5 = 32
x = 10
Judy's age is 10 years
Answer : C
Question: Which of the numbers 1, 2, 3, 4, or 5 is nearest in value to the sum
2007/2999+8001/5998+2001/3999=?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: The sum is a little more than (2/3) + (8/6) + (2/4) = 2.5.
correct answer C
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
A.Rs.4000
B.Rs.1000
C.Rs.1250
D.Rs.2000
Answer: D.Rs.2000
Explanation: Explanation:
P(11/10)4 - P(6/5)2 = 482
P = 2000
ANSWER IS D
Question: If in a triangle, the area is numerically equal to the perimeter, then the radius of the inscribed circle of the triangle is
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: Solution
Radius = Area / Semi perimeter
= [Area x 2 / Area]
= 2.
Answer B
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
A.66 days
B.88 days
C.24 days
D.55 days
Answer: C.24 days
Explanation: B = 1/8 – 1/2 = 1/24 => 24 days
Answer:C
Question: If the average (arithmetic mean) of x + 1, x + 5, and x + 9 is 0, then x =
A.–5
B.–4
C.–2
D.–1
Answer: A.–5
Explanation: (x+1 + x+5 + x+9)/3 = 0
=>3x + 15 = 0
=>x = -5
Answer A
Question: One side of a triangle has length 6 and a second side has length 5. Which of the following could be the area of the triangle?
I. 20
II. 15
III. 5
A.I only
B.II only
C.III only
D.II and III only
Answer: D.II and III only
Explanation: The triangle will have a maximum area when it is a right angled triangle
The largest triangle will be formed when 6 and 5 are the base and height of triangle .
Area = 1/2 * 6 * 5 = 15
There is no lower limit on the area of any triangle whose only 2 sides are known.
Then 0 < Area <= 15
The answer is D.
Question: a is the product of each integer from 1 to 50, inclusive and b=100^k, where k is an integer . What is the greatest value of k for which y is a factor of a?
A.6
B.7
C.8
D.9
Answer: A.6
Explanation: The number of trailing zeros in the decimal representation of n!, the factorial of a non-negative integer n, can be determined with this formula:
n5+n52+n53+...+n5k, where k must be chosen such that 5k≤n
x = 1*2*3....*50 = 50!
No. of trailing zeros in 50! = 50/5 + 50/5^2 = 10+2 = 12
100^k = 10^2k → k = 12/2 = 6
A
Question: On what sum will the compound interest for 2 1⁄2 years at 10% amount to Rs. 31762.5?
A.Rs.5000
B.Rs.20000
C.Rs.25000
D.Rs.30000
Answer: C.Rs.25000
Explanation: Explanation:
P(1+10/100)^2×(1+1/2×10/100))=31762.5
P(11/10)^2×(21/20)=31762.5
P=31762.5×20×10×10/21×11×11=1512.5×20×10×10/11×11
=137.5×20×10×10/11
=12.5×20×10×10=Rs. 25000
Answer : Option C
Question: If 10,000 microns = 1 decimeter, and 1,000,000angstroms = 1 decimeter, how many angstroms equal 1 micron?
A.100
B.10,000
C.100,000
D.0.01
Answer: A.100
Explanation: 10,000 microns = 1 decimeter, and 1,000,000angstroms = 1 decimeter
10,000 microns = 1,000,000 angstroms
1 micron = 100
Answer : A
Question: What least number must be subtracted from 2000 to get a number exactly divisible by 17 ?
A.9
B.8
C.5
D.11
Answer: D.11
Explanation: On dividing 2000 by 17, we get 11 as remainder.
Required number to be subtracted = 11
Answer D
Question: In how many ways can the letters of the word RAVES be arranged in a row so that the vowels appear in alphabetic order?
A.60
B.30
C.120
D.240
Answer: A.60
Explanation: Two letters can be arranged in 2! ways.
only one combination EIU is required.
5 letters can be arranged in 5! ways.
thus 5!/ 2! * 1 = 60.
A
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 50 liters and they are all empty, how much money total will it cost to fuel all cars?
A.320$
B.380$
C.411$
D.450$
Answer: C.411$
Explanation: Total Cost = ( 1.75*12 ) + ( 0.65 * 12 * 50 ) = 21 + 390 => 411
Hence answer will be (C) 411
Question: If the function Q is defined by the formula Q = 5w/(4d(z^2)), by what factor will Q be multiplied if w is quadrupled, d is doubled, and z is tripled?
A.1/9
B.2/9
C.4/9
D.3/9
Answer: B.2/9
Explanation: We just need to find the factor thats all,
w -> quadrupled -> 4w
d-> doubled -> 2d
z-> tripled -> 3Z
Hence, Z^2 = 9Z^2
W is in numerator, and d*z in denominator.
Hence,
Additional factor being introduced = 4/2*9
=4/18 = 2/9 = B
Question: Annie and Sam set out together on bicycles traveling at 15 and 12 km per hour respectively. After 40 minutes, Annie stops to fix a flat tire. If it takes Annie 25 minutes to fix the flat tire and Sam continues to ride during this time, how many minutes will it take Annie to catch up with Sam assuming that Annie resumes riding at 15 km per hour?
A.20
B.40
C.60
D.80
Answer: C.60
Explanation: Annie gains 3 km per hour (or 1 km every 20 minutes) on Sam.
After 40 minutes Annie is 2 km ahead.
Sam rides 1 km every 5 minutes.
In the next 25 minutes, Sam rides 5 km so Sam will be 3 km ahead.
It will take Annie 60 minutes to catch Sam.
The answer is C.
Question: What is the sum of all 3 digit positive integers that can be formed using the digits 1, 3, and 6, if the digits are allowed to repeat within a number?
A.6660
B.7770
C.8880
D.9990
Answer: D.9990
Explanation: The number of these 3-digit numbers is 3*3*3 = 27
Each digit 1, 3, and 6 will appear in the ones, tens, and hundreds place 9 times each.
The sum equals 9(111) + 9(333) + 9(666) = 9,990
The answer is D.
Question: A shop owner sells 100 lemons and gains SP of 40 lemons. Find the gain %?
A.62 2/3%
B.64 2/3%
C.66 2/3%
D.66 5/3%
Answer: C.66 2/3%
Explanation: Gain=40 lemonsTotal 100 lemonsCP 100-40=60(40/60)*100=66 2/3%Ans C
Question: James went on a diet 12 months ago when he weighed 222 pounds. If he now weighs 198 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 190 pounds?
A. 3
B. 3.5
C. 4
D. 4.5
Answer: C. 4
Explanation: 222 - 198 = 24 pounds lost in 12 months
24/12 = 2, so Joe is losing weight at a rate of 2 pounds per month.
...in approximately how many months will he weigh 190 pounds?
A simple approach is to just list the weights.
Now: 198 lbs
In 1 month: 196 lbs
In 2 months: 194 lbs
In 3 months: 192 lbs
In 4 months: 190 lbs
Answer: C
Question: You and your friend spent a total of $17 for lunch. Your friend spent $3 more than you. How much did your friend spend on their lunch?
A.$9
B.$3
C.$4
D.$10
Answer: D.$10
Explanation: My lunch = l, my friends lunch = l+3
(l)+(l+3)=17
l+l+3-3=17-3
2l=14
l=7
My friends lunch l+3 = 7+3=$10, the answer is D
Question: There are 4 red chips and 2 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
A.A)10
B.B)12
C.C)24
D.D)50
Answer: D.D)50
Explanation: Using anagram method:
6_5_4_3_2_1
R_R_R_R_B_B
so..
6!/Number of repeated letters (4!)(2!) = 5
ANS:D
Question: If a is a positive integer and a^2 is divisible by 12, then the largest positive integer that must divide a ^3 is
A. 2^3
B. 2^6
C. 3^3
D. 6^3
Answer: D. 6^3
Explanation: Since a is an integer so a cannot have a 2 and sqrt 3 (because squaring this will give us a 2^2 and 3 (making the product as 12, and making a^2 as a multiple of 12))
a^2 is divisible by 12 (12 = 2*2*3), So, a should have at least one 2 and one 3 so that a^2 has a 2^2 and two 3
So, a will have a 2 and a 3. Or a will be a multiple of 6
So, largest possible integer than should divide a^3 is 6^3
So, Answer will be D
Question: Andy has 20 pairs of matched gloves. If he loses 15 individual gloves, which of the following is NOT a possible number of matched pairs he has left?
A.9
B.11
C.13
D.14
Answer: C.13
Explanation: We can solve this is second. The question isSelect an answer choice where there is no possibility of having a number as a matched pair
Case1: If 15 gloves are gone the maximum probability of losing maximum gloves is 15 pairs of gloves out of 20. This means i m having 5 pairs of gloves. [Minimum number of gloves i can have is 5 pairs]
Case2: If 15 gloves are gone the maximum probability of losing minimum gloves is 15/2 = 7.5 means i can lose 8 glove. in this scenario i will be having 12 gloves.
Hence10 < Available Glove Pair < 13
any given time I cant possess 13 glove pair for the above mentioned scenario. And thats the answer. C.
Question: By selling 33 metres of cloth , one gains the selling price of 11 metres . Find the gain percent .
A.20%
B.30%
C.40%
D.50%
Answer: D.50%
Explanation: (SP of 33m)-(CP of 33m)=Gain=SP of 11m
SP of 22m = CP of 33m
Let CP of each metre be Re.1 , Then, CP of 22m= Rs.22,SP of 22m=Rs.33.
Gain%=[(11/22)*100]%=50%
ANSWER D
Question: Mrs. Rodger got a weekly raise of $149. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
A.$140
B.$141
C.$142
D.$149
Answer: D.$149
Explanation: Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 149.
So after completing the 1st week she will get $ (x+1495).
Similarly after completing the 2nd week she will get $ (x + 149) + $ 149.
= $ (x + 149 + 149)
= $ (x + 298)
So in this way end of every week her salary will increase by $ 149.
correct answer D)$149
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
A.Rs.345
B.Rs.270
C.Rs.275
D.Rs.324
Answer: B.Rs.270
Explanation: I = (500*9*6)/100 = 270
Answer :B
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
A.15 5/15%
B.18 2/11%
C.16 2/3%
D.30%
Answer: B.18 2/11%
Explanation: Explanation:
13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer IS B
Question: If a(a - 6) = 27 and b(b - 6) = 27, where a ≠ b, then a + b =?
A.6
B.−2
C.−48
D.46
Answer: A.6
Explanation: i.e. if a =-3 then b = 9
or if a = 9 then b =-3
But in each case a+b = -3+9 = 6
Answer: option A
Question: A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
A.2:00pm, 206 km
B.2:00pm, 220 km
C.2:00pm, 200 km
D.2:00pm, 208 km
Answer: C.2:00pm, 200 km
Explanation: When the second train leaves Mumbai the first train covers 40 * 1 = 40 km
So, the distance between first train and second train is 40 km at 10.00am
Time taken by the trains to meet
= Distance / relative speed
= 40 / (50 -40) = 4 hours
So, the two trains meet at 2 p.m. The two trains meet 4 * 50
= 200 km away from Mumbai.
Answer: C
Question: One day when Ram was walking on the street, one boy requested him to donate for cancer patients welfare fund. He gave him a rupee more than half the money he had. He walked a few more steps. Then came a girl who requested him to donate for poor people's fund for which he gave two rupees more than half the money he had then. After that, again a boy approached him for an orphanage fund. He gave three rupees more than half of what he had. At last he had just one rupee remaining in his hand.How much amount did Ram have in his pocket when he started?
A.Rs.72
B.Rs.58
C.Rs.35
D.Rs.42
Answer: D.Rs.42
Explanation: Last he had 1 rupee,when he gave to boy 3 rupees more than half so it written as (1+3)*2 similarly remaining
i.e. (((1+3)2+2)2+1)2=42
ANSWER:D