RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If 3/p=4 & 3/q=18 then p-q=?
A.5/24
B.7/12
C.7/24
D.8/24
Answer: B.7/12
Explanation: p=3/4 , q=3/18=>q=1/6
therefore
p-q=(3/4)-(1/6)=7/12
ANSWER:B
Question: A boy buys 18 sharpners, (Brown/white) for Rs.100. For every white sharpener, he pays one rupee more than the brown sharpener. What is the cost of white sharpener and how much did he buy?
A.3.9
B.3,6
C.2,3
D.22,2
Answer: B.3,6
Explanation: C
Assume that he bought b, brown sharpeners and w, white sharpeners and the cost of brown sharpener is x and white sharpener is x + 1
So w(x+1) + bx = 100
w + b = 18
b = 18 - w
Substituting in equation 1, we get w(x+1) + (18 -w)x = 100 so w + 18 x = 100
Take option 1: If white sharpners are 13, x = (100 - 13) /18 = 4.833
Option 2, If white sharpeners are 10, x = (100 - 10)/18 = 5 So white sharpeners cost is 6.
Option 3 Satisfies this condition.
Answer:B
Question: In a certificate by mistake a candidate gave his height as 10% more than actual height. In the interview panel, he clarified that his height was 5 feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?
A.6.5
B.7
C.8
D.9
Answer: A.6.5
Explanation: His height was = 5 feet 5 inch = 5 + 60 = 65 inch. Required % correction =65*(1.10-1) = 6.5
A
Question: A grocer 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.5991
B.4991
C.6001
D.7001
Answer: B.4991
Explanation: Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
Required sale = Rs. [ (6500 x 6) - 34009 ]
= Rs. (39000 - 34009)
= Rs. 4991.
ANSWER B
Question: If l is an integer, what is the greatest possible value for l that would still make the following statement true: 11*10^l < 1/10 ?
A. –4
B. –3
C. –2
D. –1
Answer: B. –3
Explanation: Just putting values, the LHS becomes
l=0 --> 11
l=-1 --> 11/10
l=-2 --> 11/100
l=-3 --> 11/1000
Anything lower will be smaller than 11/1000. l=-2, equality does not hold but it does for n=-l.
Answer is B.
Question: The average weight of 16 boys in a class is 50.25 kgs and that of the remaining 8 boys is 45.15 kgs. Find the average weight of all the boys in the class.
A.47.55 kgs
B.48 kgs
C.48.55 kgs
D.49.25 kgs
Answer: C.48.55 kgs
Explanation: Solution
Required average =(50.25x16+45.15x8/16+8) =(804+361.20/24) =1165.20/24 =48.55 Answer C
Question: At a certain college there are three as many English majors as history majors and two times as many English majors as mathematics majors. What is the ratio of the number of mathematics majors to the number of history majors?
A.6 to 1
B.3 to 5
C.2 to 3
D.3 to 2
Answer: D.3 to 2
Explanation: This is how I translated the question:
At a certain college there are twice as many english majors as history majors
E = 3H
and three times as many english majors as mathematics majors.
E = 2M
What is the ratio of the number of history majors to the number of mathematics majors?
What is H:M?
Just set E equal to each other to get the ratio in terms of H and M.
2H = 3M
M/H = 3/2
The answer is 3:2
Answer : D
Question: The simple interest on a sum of money will be Rs.1400 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
A.2800
B.3799
C.1200
D.2693
Answer: A.2800
Explanation: P --- 10 ---- 1400
P --- 5 ----- 700
3P --- 5 ----- 2100
------
=> 2800
Answer: A
Question: Find the average of all the numbers between 11 and 34 which are divisible by 5?
A.10
B.20
C.22
D.30
Answer: C.22
Explanation: Average = (15+20+25+30) 4 = 90/4 = 22
Answer is C
Question: A can finish a work in 72days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
A.30days
B.12days
C.6days
D.7days
Answer: A.30days
Explanation: B+C 1day work = 1/9 + 1/12 = 7/36
work done by B and C in 3days = 7/36 * 3 = 7/12
Remaining work = 1 - 7/12 = 5/12
1/24 work is done by A in 1day
5/12 work is done by A in 72*5/12 = 30days
Answer is A
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
A.432
B.876
C.297
D.200
Answer: A.432
Explanation: 2(3x + x) = 96
l = 36 b = 12
lb = 36 * 12 = 432
Answer:A
Question: Two trains each 190m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 65km/h while the other travels at 50km/h. how long will it take for them to pass each other completely.
A.10.7 sec
B.2.7 sec
C.11.9 sec
D.12.7 sec
Answer: C.11.9 sec
Explanation: Explanation:
D = 190 m + 190 m = 380 m
RS = 65 + 50 = 115 * 5/18 = 319/10
T = 380 * 10/319 = 11.9 sec
Answer: Option C
Question: There are 5 periods in each working day of a school. In how many ways can one organize 4 subjects such that each subject is allowed at least one period?
A.240
B.250
C.260
D.280
Answer: A.240
Explanation: 4 subjects can be arranged in 5 periods in 5P4 ways.
Remaining 1 period can be arranged in 4P1 ways.
Two subjects are alike in each of the arrangement. So we need to divide by 2! to avoid overcounting.
Total number of arrangements = (5P4 x 4P1)/2! = 240
ANSWER:A
Question: A box contains 2 white balls, 3 black ball and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
A.32
B.48
C.64
D.96
Answer: C.64
Explanation: We may have ( 1 black and 2 non black) or (2 black and 1 non black)or(3 black)
=3c1 x 6c2 + 3c2 x 6c1 +3c3
=64
ANSWER C 64
Question: A shopkeeper sells 20% of his stock at 20% profit ans sells the remaining at a loss of 10%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
A.15500
B.16000
C.15000
D.17000
Answer: C.15000
Explanation: Let the total worth of the stock be Rs. x.
The SP of 20% of the stock = 1/5 * x * 6/5 = 11x/50
The SP of 80% of the stock = 4/5 * x * 0.90 = 19x/25 = 36x/50
Total SP = 12x/50 + 36x/50 = 48x/50
Overall loss = x - 48x/50 = 2x/50
2x/50 = 600 => x = 15000
Answer:C
Question: If it would take one machine 10 minutes to fill a large production order and another machine 18 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?
A.4 1/60
B.5
C.5 5/11
D.6 3/7
Answer: D.6 3/7
Explanation: Since , Machine 1-M1 take 10 mins to fill the order
The work done by M1 in a min = 1/10
Machine 2- M2 take 18 mins to fill the same order
and work done by M2 in a min = 1/18
Total work done by M1 and M2 in a min = 1/10 + 1/18 = 14/90 = 7/45
Time needed for M1 and M2 to complete the order = 45/7 = 6 3/7
Answer D
Question: If g,h,i,j represents the result gotten when the figure 8236.186 is rounded off to the nearest thousand, hundred ten and one, which of the following statements is correct?
A.h<gh<j<i
B.g<g<h<i
C.g<h<j<i
D.i<h<j<g
Answer: C.g<h<j<i
Explanation: 8236.186..
Nearest thousand 8000..g
Nearest hundred 8200..h
Nearest ten 8300..i
Nearest one 8296..j
g<h<j<i
The correct option is C
Question: what is the 50th term of term of the series 1,3,6,10,15,21?
A.1265
B.1270
C.1275
D.1280
Answer: C.1275
Explanation: The series is like 1,1+2,1+2+3,1+2+3+4,....
so 50th term wil be 1+2+3+4+....50
sum of n natural numbers =n*(n+1)/2 where n is 50
answer wil be 25*51=1275
ANSWER:C
Question: A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 9:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
A.36
B.35
C.34
D.38
Answer: C.34
Explanation: at 6'o clock, there would be 6 strikes. First strike, then a short interval, the second strike, then a short interval and so on till the 6th strike. So there would be in all 5 intervals between 6 strikes. Similarly, between 9 strikes, there would be 8 intervals.
According to the question, the time spent in the strike and the interval is same.
At 6'o clock, the 6 strikes and the 5 intervals together take 22 sec so each strike and each interval takes 2 secs.
At 12'o clock, the 9 strikes and 8 intervals will take 2*(9+8) = 34 secs
C
Question: Given that 268 * 74 = 19832, find the values of 2.68 * 0.74.
A.1.9328
B.1.9832
C.1.9823
D.1.9382
Answer: B.1.9832
Explanation: Sum of decimal places = (2 + 2) = 4
2.68 * 0.74 = 1.9832.
Answer is B.
Question: The average weight of 7 person's increases by 3.5 kg when a new person comes in place of one of them weighing 75 kg. What might be the weight of the new person?
A.74 kg
B.78.5 kg
C.99.5 kg
D.Data inadequate
Answer: C.99.5 kg
Explanation: Total weight increased = (7 x 3.5) kg = 24.5 kg.
Weight of new person = (75 + 24.5) kg = 99.5 kg.
Answer: Option C
Question: Peter invested a certain sum of money in a simple interest bond whose value grew to $100 at the end of 2 years and further to $200 at the end of another 4 years. What was the rate of interest in which he invested his sum?
A.50%
B.25%
C.10%
D.30%
Answer: A.50%
Explanation: Explanatory Answer
Initial amount invested = $ X
Amount at the end of year 2 = $ 100
Amount at the end of year 6 (another 4 years) = $ 200
Therefore, the interest earned for the 4 year period between the 2rd year and 6th year = $200 - $100 = $100
As the simple interest earned for a period of 4 years is $ 100, interest earned per year = $25.
Therefore, interest earned for 2 years = 2 * 25 = $ 50.
Hence, initial amount invested X = Amount after 2years - interest for 2 years
= 100 - 50 = $ 50.
Rate of interest = (interest per year/principal)*100 = 25/50*100 = 50%
correct choice is A
Question: In how many different ways can the letters of the word 'SINGING' be arranged in such a way that the vowels always come together?
A.A)360
B.B)480
C.C)720
D.D)5040
Answer: C.C)720
Explanation: The word 'SINGING' has 7 different letters.
When the vowels II are always together, they can be supposed to form one letter.
Then, we have to arrange the letters SNGNG (II).
Now, 6 (5 + 1 = 6) letters can be arranged in 6! = 720 ways.
The vowels (II) can be arranged among themselves in 1! = 1 way.
Required number of ways = (720 x 1) = 720.
ANSWER:C
Question: In a dairy farm, 26 cows eat 26 bags of husk in 26 days. In how many days one cow will eat one bag of husk?
A.1
B.40
C.20
D.26
Answer: D.26
Explanation: Explanation :
One bag of husk = 26 cows per day
⇒ 26 × 1 × 26 = 1 × 26 × x
For one cow = 26 days
Answer : D
Question: A certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
A.42
B.270
C.140
D.165
Answer: B.270
Explanation: 1 of 6 will be chosen for the math
2 of 10 will be chosen for the computer
None of the 3 chosen people can be in more than one departments.
We can choose any of the 6 candidates for the math dep., which gives as 6 selections.
We can choose 2 of the 10 candidates for the computer dep., which gives us 2 selections and 8 rejections.
So, the way to find how many different selections of 2 candidates we can have for the computer dep., we do:
10! /2!*8!= (9*10) / 2 = 90 / 2 = 45.
We are multiplying our individual selections: 6*45 = 270
In the bolded part, we don't have to multiply all of the numbers, as those in 8! are included in 10!, so we simplify instead.
Ans B
Question: In a certain company, a third of the workers do not have a retirement plan. 50% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
A.80
B.95
C.105
D.156
Answer: D.156
Explanation: Set up equation:
x = total number of workers
120 = 0,4 * 2/3 * x + 0,5 * 1/3 * x
120 = 13/30 x
x = 276
276 - 120 = 156
Answer D
Question: Peter and Tom shared the driving on a certain trip. If Peter and Tom both drove for the same amount of time, but Peter only drove 3/5 of the total distance, what was the ratio of Peter's average speed to Tom's average speed?
A.1:5
B.3:2
C.1:2
D.3:5
Answer: B.3:2
Explanation: The answer is suppose to be B. 3:2. It's from the GMATPrep
Answer:option B
Question: P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?
A.Rs.40
B.Rs.70
C.Rs.90
D.Rs.100
Answer: B.Rs.70
Explanation: Explanation :
Amount Earned by P,Q and R in 1 day = 1620/9 = 180 ---(1)
Amount Earned by P and R in 1 day = 600/5 = 120	---(2)
Amount Earned by Q and R in 1 day = 910/7 = 130	---(3)
(2)+(3)-(1) => Amount Earned by P , Q and 2R in 1 day
- Amount Earned by P,Q and R in 1 day = 120+130-180 = 70
=>Amount Earned by R in 1 day = 70
Answer : Option B
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
A.28788
B.38000
C.27992
D.28872
Answer: B.38000
Explanation: CP + CP/8 = 45000
CP = 40000
SP = 40000*(95/100) = 38000
Answer: B
Question: if length of a room is three times of its breadth and its area is 12 sq.m.what is perimeter of room?
A.14 m
B.18 m
C.24 m
D.16 m
Answer: D.16 m
Explanation: let breadth=x m. and length = 3x m.
x*3x=12,x^2=4,x=2.
length=6m,breadth = 2 m.
perimeter=2*(6+2)=16 m
answer D
Question: The curved surface of a sphere is 64 π cm2. Find its radius?
A.8
B.3
C.4
D.9
Answer: C.4
Explanation: Explanation:
4 πr2 = 64 => r = 4
Answer: Option C
Question: A train passes a station platform in 35 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.225
B.279
C.240
D.288
Answer: A.225
Explanation: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 35 = 15
x + 300 = 525
x = 225 m. Answer:A
Question: A school’s annual budget for the purchase of student computers increased by 32% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
A.15%
B.5%
C.10%
D.12%
Answer: C.10%
Explanation: Lats year: budget = $100, price = $1 --> the number of computers purchased = 100/1 = 100;
This year: budget = $132, price = $1.2 --> the number of computers purchased = 132/1.2 = 110.
Increase in the number of computers purchased = 10%.
Answer: C
Question: A can give B 60 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A.148.94
B.148.13
C.148.22
D.111.0
Answer: A.148.94
Explanation: A runs 1000 m while B runs 940 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/940
= 851.06 m.
B can give C = 1000 - 851.06
=148.94m.
Answer:A
Question: The respective ages of father and his son are 47 and 16 years. In how many years will the father be twice as old as his son ?
A.19 years
B.9 years
C.10 years
D.15 years
Answer: D.15 years
Explanation: Suppose x years later the father will be twice as old as his son.
x + 47 = 2 (x + 16)
x = 47 - 32 = 15 years
answer : D
Question: In how many ways a committee consisting of 3 men and 2 women can be formed from 4 men and 3 women?
A.10
B.15
C.20
D.18
Answer: A.10
Explanation: Required number of ways = 4C3*3C2 = 4*3 = 12
Answer is A
Question: The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
A.80,47 kmph
B.80,80 kmph
C.80,42 kmph
D.90,50 kmph
Answer: D.90,50 kmph
Explanation: Speed downstream = 70 + 20 = 90 kmph
Speed upstream = 70 - 20 = 50 kmph.Answer:D
Question: Which of the following is satisfied with |x-4|+|x-3|<3?
A.1<x<5
B.2<x<5
C.4/3<x<10/3
D.4/3<x<4
Answer: B.2<x<5
Explanation: --> If there is addition when there are 2 absolute values, you can just ignore the middle. That is, |x-4|+|x-3|<3 -> |x-4+x-3|<3 -> |2x-7|<3, -3<2x-7<3, 4<2x<10, 2<x<5->
Therefore, the answer is B.
Question: After deducting a commission of 5%, a T.V. set costs $9595. Its market price is ?
A.10000
B.10100
C.21200
D.21000
Answer: B.10100
Explanation: Let the marked price be x
then, x-5% of x = 9595
95% of x = 9595
x = 10100
Answer is B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
A.186 Sec
B.190 Sec
C.279 Sec
D.978 Sec
Answer: B.190 Sec
Explanation: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec
Answer:B
Question: The length and breadth of a rectangle is increased by 10% and 30% respectively. What is the increase in the area?
A.43.0
B.44.0
C.43.5
D.45.0
Answer: A.43.0
Explanation: 100*100=10000
110*130=14300
----------
4300
10000-------4300
100-------43.00
Answer A
Question: A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 2?
A.1/4
B.2/4
C.1/2
D.1/3
Answer: D.1/3
Explanation: Out of the 6 possible numbers that may rolled, 3 are even: 2, 4 and 6 BUT only 4 and 6 are greater than 2. Hence the probability that the number rolled is an even number greater than 2 is given by
(number of even numbers greater than 2) / 6 = 2 / 6 = 1 / 3
correct answer D
Question: The average of 10 consecutive integers is 20. Then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. What is the new average?
A.14
B.14.5
C.15
D.15.5
Answer: D.15.5
Explanation: The total subtracted is (9+8+...+1) = (9*10) / 2 = 45
On average, each number will be reduced by 45/10 = 4.5
Therefore, the overall average will be reduced by 4.5
The answer is D.
Question: In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
A.24
B.26
C.42
D.46
Answer: A.24
Explanation: Let the ten's digit be x.
Then, unit's digit = x + 2.
Number = 10x + (x + 2) = 11x + 2.
Sum of digits = x + (x + 2) = 2x + 2.
(11x + 2)(2x + 2) = 144
22x2 + 26x - 140 = 0
11x2 + 13x - 70 = 0
(x - 2)(11x + 35) = 0
x = 2.
Hence, required number = 11x + 2 = 24.
Answer:A
Question: A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 20% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
A.$37.80
B.$38.50
C.$39.20
D.$39.50
Answer: B.$38.50
Explanation: A farmer spent 40% money on chicken feed, so he spent 0.4*$35=$14 on chicken feed, thus he spent the remaining 35-14=$21 on goat feed.
Now, since he bought chicken feed at a 20% discount then the original price of it was x*0.8=$14 --> x=$17.5.
Therefore if the farmer had paid full price for both the chicken feed and the goat feed, then he would he have spent 17.5+21=$38.5.
Answer: B.
Question: What is the average of xx, 2x2x, and 66?
A.2x+2
B.x+2x-2
C.x+2x+2
D.x+2
Answer: C.x+2x+2
Explanation: By the definition of an average, we get:
x+2x+63=3x+63x+2x+63=3x+63
=3(x+2)3=x+2.=3(x+2)3=x+2.
Hence, the answer is x+2x+2 or
Option C
Question: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 72 m long cloth in
A.1 day
B.2 days
C.3 days
D.4 days
Answer: B.2 days
Explanation: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 72/ 6 × 6 = 2 day.
B
Question: In a 400 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners?
A.81
B.147
C.145
D.143
Answer: A.81
Explanation: Solution simple
Out of 400 20% are male i.e 80 and 25% are female i.e 100 , so total homeowner is 180.
Now min number homeowner is 80 and max is 180 so question ask us to find least and 81 has least value among all option.
So ans is 81.
Answer : A
Question: A can work four times as fast as B. Together they can finish a job in 10 days. In how many days can A complete the job alone?
A.11.5
B.12.5
C.13.5
D.14.5
Answer: B.12.5
Explanation: B's rate is x and A's rate is 4x.
x + 4x = 1/10
x = 1/50
A's rate is 4x = 1/12.5
A can complete the job in 12.5 days.
The answer is B.
Question: On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
A.15%
B.16 1/6%
C.16 2/3%
D.20%
Answer: C.16 2/3%
Explanation: Clearly, the retailer gets 1 dozen out of 6 dozens free.
Equivalent discount = 1/6 * 100 = 16 2/3%.
ANSWER:C
Question: An arithemetic sequence of numbers begins p, 2p + 1, 4p + 2... What is the 14th member of this sequence?
A.A)37
B.B)40
C.+ 13
D.D)53
Answer: B.B)40
Explanation: Common difference of an arithmetic series is constant.
2p+2-p=4p+3-2p-2
p=1
1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37
Ans:B
Question: Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 50 percent of the cards for himself and split the remaining cards evenly among his 5 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 5 younger brothers to get an equal number of cards?
A.110
B.112
C.116
D.118
Answer: A.110
Explanation: This question can be easily solved by looking at the options.
Assuming number of cards to be x
We need to find the option for which (1/5)*(x/2) is an integer
Or x/10 is an integer.
Hence we need the lowest multiple of 10 from the given options.
Let us start from the lowest value:
Option A: 110. This is not a multiple of 10. Hence the correct answer.
Correct Option: A
Question: What percentage of numbers from 1 to 60 have 1 or 9 in the unit's digit?
A.12
B.14.11
C.18.33
D.20
Answer: C.18.33
Explanation: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 60 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59
Number of such number =11
ANSWER :C
Question: The H.C.F. of two numbers is 5 and their L.C.M. is 150. If one of the numbers is 25, then the other is:
A.30
B.28
C.24
D.20
Answer: A.30
Explanation: Product of two nos = product of HCF and LCM
Let one number = x
=> 25 * x = 5 * 150
x=5*150/25=30
ANSWER A
Question: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 30,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?
A.$ 240,000
B.$ 320,000
C.$ 360,000
D.$ 450,000
Answer: A.$ 240,000
Explanation: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 30,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?
The investment gets doubled in 70/p years. Therefore, the investment gets doubled in 70/5= every 14 years. After 42 years, the investment will get doubled 42/14= 3 times.
So the amount invested will get doubled thrice.
So, 30000 *2^3 = 240000
Hence, the answer is A.
Question: x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 12. Which of the following is NOT a possible value for y + b?
A.24
B.21
C.18
D.17
Answer: C.18
Explanation: Important note: remainder is ALWAYS less than divisor, thus y>6 and b>12 --> y+b>18.
Answer: C.