RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 15. The larger of the two numbers is:
A.276
B.299
C.322
D.345
Answer: D.345
Explanation: Clearly, the numbers are (23 x 13) and (23 x 15).
Larger number = (23 x 15) = 345.
Answer: Option D
Question: If x*y = xy – 2(x + y) for all integers x and y, then 4* (–3) =
A.–14
B.–11
C.–4
D.4
Answer: A.–14
Explanation: 4*(-3) = 4*(-3) - 2 (4 + (-3) ) = -12 -2 = -14
Option (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 $ 40,000 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.$ 280,000
B.$ 320,000
C.$ 360,000
D.$ 450,000
Answer: B.$ 320,000
Explanation: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 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, 40000 *2 = 80000
80000*2 = 160000
160000*2 = 320000
Hence, the answer is B.
Question: The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 4 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?
A.18 : 35 : 50
B.3 : 10 : 10
C.9 : 14 : 25
D.32 : 35 : 25
Answer: C.9 : 14 : 25
Explanation: Suppose the number of students studying Arts, Commerce and Science be 3x, 4x and 8x respectively.
When their numbers are increased by 20%, 40% and 25% respectively the new ratio becomes
3x × 120% : 4x × 140% :
8x × 125% = 36 : 56 : 100
= 9 : 14 : 25
Answer C
Question: If Q is the least common multiple of 90,196, and 300, which of the following is NOT a factor of Q?
A.600
B.700
C.900
D.2,100
Answer: A.600
Explanation: IF Q is the least common multiple of 90,196 and 300, which of the following is NOT a factor of Q?
A- 600
B- 700
C- 900
D- 2100
E- 4900
90 = 2 * 3 * 3 * 5
196 = 2 * 2 * 7 * 7
300 = 2 * 2 * 3 * 5 * 5
LCM = 2 * 2 * 3 * 3 * 5 * 5 * 7 * 7
(TWO 2, TWO 3, TWO 5, TWO 7)
600 = 2 * 2 * 2 * 3 * 5 * 5
700 = 2 * 2 * 5 * 5 * 7
900 = 2 * 2 * 3 * 3 * 5 * 5
2100 = 2 * 2 * 3 * 5 * 5 * 7
4900 = 2 * 2 * 5 * 5 * 7 * 7=A
Question: Rectangular Floors X and Y have equal area. If Floor X is 10 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?
A. 13 1/2
B. 20
C. 18 3/4
D. 21
Answer: B. 20
Explanation: The area of a rectangle is: Area = length x width
We are given that floor X is 10 feet by 18 feet and that floor Y is 9 feet wide. So we can say:
length of X = 10
width of X = 18
width of Y = 9
length of Y = n
We also can say:
Area of Floor X = Area of Floor Y
(length of X)(width of X) = (length of Y)(width of Y)
(10)(18) = 9n
(10)(2) = n
20 = n
Answer B.
Question: The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit L on the height of vehicles that are allowed to use the tunnel?
A.5½ ft
B.7½ ft
C.8 ½ ft
D.9½ ft
Answer: B.7½ ft
Explanation: Let's label the midpoint of the circle O. Since the base of the semi-circle is 20, we know that the diameter is 20 and, accordingly, the radius is 10.
We also know that the traffic lane is 12 feet long and there's an equal amount of space on either side, so the traffic lane extends 6 feet on either side of O. Let's call the leftmost point on the base of the traffic lane A. So, the distance OA is 6.
Now draw a line straight up from A to the top of the tunnel. Let's label the point at which the line intersects the circle B. The answer to the question will, therefore, be the height AB - .5 feet (we need to leave .5 feet of clearance).
Here's the key to solving the question: if we draw a line from O to B, that line is a radius of the circle and, therefore, has length 10. We now have right triangle OAB (the right angle is at point A), with leg OA=6 and hypotenuse OB=10. We can now solve for leg AB=8 (either by applying the pythagorean theorum or by applying the 3/4/5 special right triangle ratio).
Finally: AB=8, so the correct answer L is 8 - .5 = 7.5... choose (B)!
Question: X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?
1. (Y + X) is an odd number.
2. Y^(X + Y) is an integer.
3. X^Y is a positive number.
A.2 only.
B.3 only.
C.1 only.
D.2 and 3 only.
Answer: C.1 only.
Explanation: Statement I is TRUE
Statement II is not TRUE
Statement III is not TRUE
Answer : C
Question: A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 40 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?
A.20
B.25
C.30
D.40
Answer: A.20
Explanation: Let the list price be 2x
for min sale price, the first discount given should be 50%, 2x becomes x here
now, during summer sale additional 20% off is given ie sale price becomes 0.8x
it is given lise price is $80
=> 2x = 80
=> x = 20
and 0.8x = 32
so lowest sale price is 32, which is 40% of 80
hence, A is the answer
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 80 m and they cross each other in 12 sec, then the speed of each train is?
A.24
B.35
C.36
D.37
Answer: A.24
Explanation: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (80 + 80)/12 => x = 6.66
Speed of each train = 10 m/sec.
= 6.66 * 18/5 = 24 km/hr.
Answer: Option A
Question: How many multiples of 4 are there between 4 and 64 ?
A.12
B.64
C.14
D.16
Answer: C.14
Explanation: It should be mentioned whether 4 and 64 are inclusive.
If 4 and 64 are inclusive, then the answer is (64-4)/4+1=16.
If 4 and 64 are NOT inclusive, then the answer is (60-8)/4+1=14.
Since OA is C, then we have NOT inclusive case.
Question: The simple form of the ratio 2/3:2/5 is?
A.5:8
B.5:5
C.5:9
D.5:3
Answer: D.5:3
Explanation: 2/3 : 2/5 = 10:6 = 5:3
Answer: D
Question: A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 6 km per hour and the level part at the rate of 9 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the route in order to average 9 km per hour for the entire route?
A.12
B.15
C.18
D.21
Answer: C.18
Explanation: Let V be the speed on the downhill section.
Let D be the distance of each of the three equal sections.
Total time T = T1+T2+T3 and 3D/T = 9 km/hour
3D / (D/6 + D/9 + D/V) = 9
1/3 = 1/6 + 1/9 + 1/V
1/V = 1/18 and so V = 18 km/h
The answer is C.
Question: If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 9 days, then C alone can do it in?
A.11
B.17
C.18
D.19
Answer: C.18
Explanation: C = 1/4 - 1/12 – 1/9 = 1/18 => 18 days'
Answer: C
Question: Submarine M and Submarine N are equipped with sonar devices that can operate within a 4,000 yard range. Submarine M remains in place while Submarine N moves 3,700 yards south from Submarine M. Submarine N then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the following directions can Submarine N continue to move and still be within the sonar range of Submarine M? I. North II. South III. West
A.I,II only
B.II,III only
C.II only
D.I and III only
Answer: D.I and III only
Explanation: It's evident if we make a diagram for the Movement of N respect to M.
From its South position to the east position, it has covered the maximum radius for the south direction. Similarly, it's east movement further will also make it out of range.
Thus it can only move north or west or anything in that curve.
Answer : D
Question: A vessel contains a 105 ml mixture of milk and water. 3/7 of the mixture is alcohol, the remainder is water. An additional quantity of 105 ml of milk is poured into the mixture. What is the ratio of the volume of milk to water in the new mixture?
A.3:7
B.3:4
C.5:2
D.1:1
Answer: C.5:2
Explanation: The amount of milk in the old mixture is 3/7 x 105 = 45 ml.
Further 105 ml milk is added.
Therefore, total milk in new mixture is 150 ml.
Water content is (105 -45) - 60 ml.
Milk to water ratio is 150: 60 or 5: 2
ANSWER:C
Question: An investor bought two shares of stock, which he sold for $84 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had:
A.a profit of $10
B.a profit of $7
C.a loss of $7
D.a loss of $10
Answer: C.a loss of $7
Explanation: The cost of the first stock was 84/1.2=70, so the profit from it is 14.
The cost of the second stock was 84/0.8=105, so loss from it is 21.
Overall the loss is $7.
The answer is C.
Question: A = {2, 3, 5, 7, 11}
B = {2, 4, 6, 15}
Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
A.15
B.16
C.19
D.20
Answer: D.20
Explanation: By looking at Set A, we can see that it's all primes. Thus, we should immediately break down the elements in Set B to their prime factors. That gives :
Set A = {2,3,5,7,11}
Set B = {2, 2x2, 3x2, 13}
Apart from 2x3x2 (taking 2 from set A) which is the same as 3x2x2(taking 3 from set A); there is nothing which can be repeated. Thus, the total unique product = 20-1 = 20.
D
Question: An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
A.4/9
B.4/5
C.4/1
D.4/2
Answer: A.4/9
Explanation: Explanation:
2/3 ---- 12
? ----- 8 ==> 4/9
Answer: A
Question: A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ?
A.Rs. 316
B.Rs. 251
C.Rs. 154
D.Rs. 294
Answer: A.Rs. 316
Explanation: Explanation:
S.I. for 2 years = (514 - 415) = Rs. 99
S.I. for 1 year = 99/2
Principal = (415 - 99) = Rs. 316.
ANSWER IS A
Question: What is the average of four tenths and five thousandths?
A.25002
B.2502
C.0.225
D.0.2025
Answer: D.0.2025
Explanation: (.4 + .005)/2 --> .405/2 --> .2025
D
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age six years back was?
A.13yr
B.15yr
C.20yr
D.25yr
Answer: A.13yr
Explanation: Let the son's present age be x years
Then, 38-x = x
x = 19
Son's age 6 years back = 19-6 = 13 years
Answer is A
Question: A 400 meter long train crosses a man standing on the platform in 10 sec. What is the speed of the train?
A.144
B.108
C.278
D.126
Answer: A.144
Explanation: S = 400/10 * 18/5 = 144 kmph
Answer: A
Question: If a, b, and c are integers and ab^2/c is a positive even integer, which of the following must be true?
I. ab is even
II. ab > 0
III. c is even
A.I only
B.II only
C.I and II
D.I and III
Answer: A.I only
Explanation: ab2/c is positive which means a and C >0 or a and c<0 since b2 is positive
Case 1 - a=3 b=2 c=3 or c=6 where ab2 /2 would be even when c= 3 or c=6
lets see III option where C is even as per our assumption C can be even and odd, hence it is out.
lets see option II ab>0 a and b can positive or negative hence sign of ab cannot be determined hence it is out
So options B,C,D,E are gone and ans is A
Question: A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 5 cubic feet. If a large block has three times the width, twice the depth, and half the length of a normal block, what is the volume of cheese in a large block in cubic feet?
A.10
B.30
C.15
D.20
Answer: C.15
Explanation: Volume of cube=lbh=5
New cube l ,b, h are increases of 3b,2h and a decrease of .5l
New volume of cube =.5l*3b*2h=3*lbh
=3*5
=15
Answer: C
Question: Carol spends 1/4 of her savings on a stereo and 1/2 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?
A.1/4
B.2/7
C.5/12
D.3/8
Answer: D.3/8
Explanation: Total Savings = S
Amount spent on stereo = (1/4)S
Amount spent on television = (1-1/2)(1/4)S = (1/2)*(1/4)*S = (1/8)S
(Stereo + TV)/Total Savings = S(1/4 + 1/8)/S = 3/8
Answer: D
Question: A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 1551, What is the value of n?
A.22
B.38
C.62
D.94
Answer: D.94
Explanation: Factorise 1551.. 3*11*47..
So n has to be a multiple of largest prime number,61..
So n=2*47=94..
Ans :D
Question: If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ?
A.Rs. 175
B.Rs. 325
C.Rs. 340
D.Rs. 260
Answer: C.Rs. 340
Explanation: Explanation:
Assume first child (the youngest) get = Rs. x
According to the question ;
each son having Rs. 30 more than the younger one
Second child will get = Rs. x + 30
Third child will get = Rs. x + 30 + 30 = x + 60
Forth child will get = Rs. x + 30 + 30 + 30 = x + 90
Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120
Total amount they got = Rs. 2000
x + (x+30) + (x+60) + (x+90) + (x+120) = 2000
5x + 300 = 2000
5x = 1700
x = Rs. 340
So the youngest child will get Rs. 340.
ANSWER IS C
Question: It takes Joey the postman 1 hours to run a 7 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 8 mile/hour, what is the speed with which Joey returns?
A.11
B.12
C.13
D.8
Answer: D.8
Explanation: let his speed for one half of the journey be 7 miles an hour
let the other half be x miles an hour
now,
avg speed =8 mile an hour
2*7*x/7+x=8
14x=8x+56=>x=8
D
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
A.40%
B.30%
C.50%
D.60%
Answer: C.50%
Explanation: Let original length = x and original breadth = y.
Original area = xy.
New length = x .
2
New breadth = 3y.
New area = x x 3y = 3 xy.
2 2
Increase % = 1 xy x 1 x 100 % = 50%.
2 xy
C
Question: Find the sum and number of divisors of 544 excluding 1 and 544.
A.589
B.599
C.618
D.659
Answer: A.589
Explanation: if N = p^a * q^b *r^c *...
total no. of factors of N = (a+1)*(b+1)*(c+1)*... &
sum of all of the factors of N =(1+p+p^2+...+p^a)*(1+q+..+q^b)*(1+r+r^2+...+r^c)
544 = 2^5 * 17
number of divisors of 544 excluding 1 and 544 = (5+1)*(1+1) - 2 = 10
sum of divisors of 544 excluding 1 and 544 = (1+2+2^2+2^3+2^4+2^5)*(1+17)-1-544
= 589
ANSWER:A
Question: A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability Q of generating an odd prime digit is between
A.0 and 1/6
B.1/6 and 1/3
C.1/3 and 1/2
D.1/2 and 2/3
Answer: B.1/6 and 1/3
Explanation: K (1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9+ 1/10) =1
Note that 1/10 is least value and is equal to 0.1 so we can write above series as
K (1+0.5+0.3+0.25+0.2+0.16+0.5+residual) = 1
K=1/3+
P (3 or 5 or 7) =K*13/24
Required probability Q= 13/24 × 1/3+ = 4+/24 > 1/6
Answer should be B
P.s. 3+ denotes a value little greater than 3 .
Same for 4+.
Question: In what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way?
A.3 sec
B.4 sec
C.5 sec
D.6 sec
Answer: C.5 sec
Explanation: T = 56/39 * 18/5 = 5 sec
ANSWER:C
Question: In covering a distance of 40 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
A.5 km/h
B.6.7 km/h
C.10 km/h
D.15 km/h
Answer: B.6.7 km/h
Explanation: Let A's speed be X km/hr.
Then, 40/x - 40/2x = 3
20/x = 3
x = 6.7 km/hr.
Answer : B
Question: A car travelling with 5/7 km of its actual speed covers 42km in 1hr 40 min 48 sec find the actual speed of the car?
A.78kmph
B.85kmph
C.35kmph
D.24kmph
Answer: C.35kmph
Explanation: time taken =1hr 40 min 48 sec=126/75hrs
let the actual speed be x kmph
then 5/7 x*126/75=42
x=(42*7*75)/5*126=35kmph
Answer (C)
Question: What is the lowest possible common multiple of 2 distinct integers, each greater than 68?
A.68
B.69
C.138
D.68^2
Answer: C.138
Explanation: In order to get the lowest LCM, we have to take the first number as 69 and the next number as its multiple.
So, I can take 69 and 138 as two distinct numbers, such that Lowest LCM = 138.
Answer should be C.
Question: For each color copy, Print Shop X charges $1.25 and Print Shop Y charges $2.75. How much greater is the charge for 60 color copies at Print Shop Y than at Print Shop X?
A.$80
B.$90
C.$100
D.$110
Answer: B.$90
Explanation: The difference in the two prices is $2.75 - $1.25 = $1.50 for each color copy.
Each color copy will cost an extra $1.50 at Print Shop Y.
60*$1.50 = $90
The answer is B.
Question: Calculate the circumference of a circular field whose radius is 8 centimeters.
A.18 π cm
B.1 π cm
C.8 π cm
D.19 π cm
Answer: A.18 π cm
Explanation: Circumference C is given by
C = 2πr = 2π*9 = 18 π cm
Answer: A
Question: A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the president?
A. 1/720
B. 1/5
C. 1/10
D. 1/9
Answer: B. 1/5
Explanation: This question is much easier than it appears.
Each member out of 10, including Harry, has equal chances to be selected for any of the positions (the sequence of the selection is given just to confuse us). The probability that Harry will be selected to be the secretary is 1/10 and the probability that Harry will be selected to be the president is also 1/10. So, the probability that Harry will be selected to be either the secretary or the the president is 1/10+1/10=2/10.
Answer: B
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of Qis?
A.A)Rs.4078
B.B)Rs.6100
C.C)Rs.4029
D.D)Rs.4027
Answer: B.B)Rs.6100
Explanation: Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (5050 * 2) = 10100 --- (i)
Q + R = (6250 * 2) = 12500 --- (ii)
P + R = (5200 * 2) = 10400 --- (iii)
Adding (i), (ii) and (iii), we get:
2(P + Q + R) = 33000 = P + Q + R = 16500 --- (iv)
Subtracting (iii) from (iv), we get, P = 6100.
P's monthly income = Rs.6100.
Answer: B
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 32 kmph. Of how many minutes does the train stop per hour?
A.E982
B.27
C.17.3
D.121
Answer: C.17.3
Explanation: Explanation:
T = 13/45 * 60 = 17.3
Answer: Option C
Question: The sum of five numbers is 400. The average of the first two numbers is 50 and the third number is 60. Find the average of the two numbers?
A.70
B.65
C.85
D.80
Answer: D.80
Explanation: Let the five numbers be P, Q, R, S and T.
=> P + Q + R + S + T = 400
(P + Q)/2 = 50 and R = 60
P + Q = 100 and R = 60
P + Q + R = 160
S + T = 400 - (P + Q + R) = 240
Average of the last two numbers
= (S + T)/2 = 80
Answer:D
Question: A man buys a cycle for Rs. 2300 and sells it at a loss of 30%. What is the selling price of the cycle?
A.s. 1690
B.s. 1610
C.s. 1890
D.s. 1602
Answer: B.s. 1610
Explanation: S.P. = 70% of Rs. 2300 = Rs.	70	x 2300/100 = Rs. 1610
Answer: Option B
Question: How many 7 in between 1 to 120?
A.18
B.20
C.22
D.23
Answer: C.22
Explanation: 7,17,27,37,47,57,67,
70,71,72,73,74,75,76,77(two 7's),78,79,87,97,107,117
22 7's between 1 to 120
ANSWER:C
Question: If log X/2=log Y/3 = log Z/5, then YZ in terms of X is
A.X
B.X2
C.X3
D.X4
Answer: D.X4
Explanation: logX/2 = logY/3= logZ/5 = K(say).
=> logX = 2k, logY = 3k, log Z =5K
=> logYZ = 3K + 5K = 8k; logX4 = 8K
Thus, logYZ = logX4
=>YZ = X4
ANSWER:D
Question: How many times are the hands of a clock at right angle in a day?
A.22
B.24
C.44
D.48
Answer: C.44
Explanation: In 12 hr's the hands of the clk will be right angle for 22 times..
as in 1 hr time the hands of the clk will be right angle fot 2 times.
but in (11'o clk - 1'o clk) time it will right angle only twice(2).
so for 12 hrs time 22 times it will be right angle.
for 24 hrs time 44 times it will be right angle..
ANSWER:C
Question: A cask full of milk,'E' liters is removed and water is mixed. This process is repeated and now the ratio in milk to water is 16:9. Then what is the amount of milk in liter.
A.E+9
B.9E
C.5E
D.8E
Answer: C.5E
Explanation: After 'n' operations ,the amount of pure liquid remaining is = [x { ( 1-E/x )^n } ]...where x is original amount of liquid and E is amount of liquid removed..This is standard formula in RS aggarwal...
Now ,in our case the operations is performed twice...
Let the original milk be x liters..
E liters removed twice n = 2,
milk remaining (M) = [ x { (1-E/x)^2 } ]....water is (W) = x - [x { (1-E/x)^2 } ]
M/W = 16/9 Take (1-E/x)^2 = z
now solving we get z = 16/25 that is (1 - E/x)^2 = (4/5)^2
1 - E/x = 4/5
x = 5E
ANSWER:C
Question: The value of log 5 (1/125) is:
A.3
B.-3
C.1/3
D.-1/3
Answer: B.-3
Explanation: log5(1/125)
=log5(1/5)^3
=3log5(1/5)
=3(log5 1 - log5 5)
=3(0-1)
=-3
ANSWER:B
Question: Find the one which does not belong to that group?
A.16
B.36
C.27
D.64
Answer: C.27
Explanation: Explanation:
16, 36, 64 and 4 are perfect squares but not 27.
Answer:C
Question: 4,25,49,121
A.149
B.169
C.189
D.209
Answer: B.169
Explanation: 13^2= 169 because follow sequence of square of the prime numbers
ANSWER:B
Question: A certain barrel, which is a right circular cylinder, is filled to capacity with 60 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in the first barrel is poured into the second barrel, how much empty capacity, in gallons, is left in the second barrel?
A.There is no empty capacity
B.100 gallons
C.300 gallons
D.420 gallons
Answer: D.420 gallons
Explanation: Radius of first cylinder=r, diameter=2r, height=h
Radius of second cylinder=2r, diamter=2d and height=2h
Volume of first cylinder=pie (r^2)*h=60
Volume of second cylinder=pie(2r^2)2h
Put the value of pie (r^2)*h=60 in the second cylinder,volume= pie (r^2)*4*2=60*8=480 gallons
Empty capacity=420 gallons
Answer D
Question: People spend an estimated $75 at the zoo every day, and the total estimated amount for bills every month for the nearest zoo is $200,000. To pay its bills, how many people need to be attending the zoo on a weekly basis? The amount of people needs to be rounded to whole numbers, and a month typically has 4 full weeks.
A.666
B.667
C.669
D.670
Answer: B.667
Explanation: To find out our answer, we must think about how much the zoo makes in a week.
So, we divide 200,000 by 4 to get 50,000
We then divide 50,000 by 75 to get our estimate.
Round the answer to the nearest whole number to get the answer.
Correct Option: B
Question: There are 6 people in the elevator. Their average weight is 156 lbs. Another person enters the elevator, and increases the average weight to 151 lbs. What is the weight of the 7th person.
A.121
B.168
C.189
D.190
Answer: A.121
Explanation: Solution
Average of 7 people after the last one enters = 151 .
âˆ´ Required weight = (7x151)-(6x156)
= 1057- 936
= 121.
Answer A