RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: m^n =2401
wat is m/n?
A.2.75
B.1.75
C.3.75
D.4.75
Answer: B.1.75
Explanation: m^n= 2401
7^4= 2401
here m= 7 and n=4
thus m/n= 7/4= 1.75
ANSWER:B
Question: The speed of a boat in still water in 22 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:
A.10.6
B.10.2
C.10.8
D.10.4
Answer: D.10.4
Explanation: Speed downstream = (22 + 4) = 26 kmph
Time = 24 minutes =24/60 hour = 2/5 hour
Distance travelled = Time × speed =2/5×26 = 10.4 km
Answer is D.
Question: A company decreased the price of its main product by 25%. Subsequently, the number of units sold increased such that the total revenue remained unchanged. What was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product?
A.2.0
B.4.0
C.5.0
D.6.0
Answer: B.4.0
Explanation: For the total revenue to remain the same when the price is one fourth, the number of products sold must four times. Therefore increase in the number of products sold is 100%
=> The required ratio = 100%/25% = 4.0
Answer : B
Question: A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 4 cubic feet. If a large block has twice the width, twice the depth, and twice the length of a normal block, what is the volume of cheese in a large block in cubic feet?
A.16
B.20
C.36
D.32
Answer: D.32
Explanation: Volume of cube=lbh=4
New cube l ,b, h are increases of 2l, 2b,2h
New volume of cube =2l*2b*2h=8*lbh
=8*4
=32
Answer: D
Question: If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	The slope of L is positive
II.	The slope of L is negative
III.	L exactly passes not through 2 quadrants
A.I only
B.II only
C.III only
D.None
Answer: D.None
Explanation: Let (m,n) = (2,3)
(-m,-n) = (-2,-3)
Slope = (3+3)/(2+2) = 6/4 = 3/2
So II may not be true
Let (m,n) = (2,-3) then (-m,-n) = (-2,3)
So slope = (3 +3)/(-2-2) = -3/2
so I may not be true
So such a line would be -> (y - 3) = 3/2(x - 2)
=> 2y - 6 = 3x - 6
=> 2y - 3x = 0, hence no x or y intercept, so it passes through origin.
III is not true.
Answer - D
Question: Arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 2. What value is exactly 2 standard deviations less than the mean?
A. 9.5
B. 11
C. 11.5
D. 12
Answer: A. 9.5
Explanation: The value which is exactly two SD below the mean is: mean-2*SD=13.5-2*2=9.5.
Answer: A.
Question: There are 35 students in a hostel. If the no. of students increases by 3, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess?
A.s. 144.67
B.s. 319.67
C.s. 142.67
D.s. 148.67
Answer: A.s. 144.67
Explanation: Suppose the average join the mess , total expenditure = 35x + 42
Now, the average expenditure = (35x + 42)/ (35 + 3) = x – 1
or, 35x + 42 = 38x – 38
or, x = 26.67
Thus the original expenditure of the mess = 35 x 26.67 =933.33
1078-933.33 = Rs. 144.67
A
Question: What is the square root of 9?
A.1
B.3
C.2
D.4
Answer: B.3
Explanation: 3X3 = 9
ANSWER B
Question: Convert the 11/36 m/s into kilometers per hour?
A.2.9 kmph
B.1.1 kmph
C.1.3 kmph
D.1.2 kmph
Answer: B.1.1 kmph
Explanation: 11/36 m/s = 11/36 * 18/5 = 11/10
= 1.1 kmph.
Answer: B
Question: If in a certain code 3 * 4 = 25 and 6 * 8 = 100 then what is the value of 12 * 5?
A.144
B.169
C.154
D.178
Answer: B.169
Explanation: Solution: In this question the pattern * represents a code.
=> 3² + 4² = 25
=> 6² + 8² = 100
=> 12² + 5² = 169
ANSWER: B
Question: If x and d are both integers, x>d, and -x>19, then the largest value of d would be?
A.-5
B.-6
C.-7
D.-8
Answer: D.-8
Explanation: No, your thinking is incorrect. When we know that x>d and x<-6.33, the largest value of x can be -7 while if x=-7, then largest value of d < -7 will be -8.For negative numbers, -7 > -8 and -8> -10.
You are right in saying that d can take any value less than -7 ---> d could be -8, -9, -10 .... and out of all these values, -8 is the greatest.
Look at the numbers on the number line. For any 2 numbers, the ones on the right are greater than the ones on the left:
.......-11 -10 -9 -8 -7 -6 -5 ..... 0 1 2 3 4 5 6 ... (-11< -10, -10< -8, 4< 5 etc).
So, as per the question if d<x and x = -7 , then d's largest 'possible' value has to be -8.
-10 is smaller than -8=D
Question: If A,B,C,D,E,F,G,H,I,J are in an decreasing Arithmetic Progression as such. Then Which of the following operations will result in both mean and the median being modified.
A) A is removed
B) E and F are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed
A.1) A and E
B.2) A and C
C.3) A,C,E
D.4) All of them
Answer: A.1) A and E
Explanation: Here answer will be (A).
There are 10 equidistant numbers on the number line.
Mean and median will be the average of middle two numbers.
If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers.
Question: Set S consists of integers {7, 8, 10, 12, 13}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 10%. What is the value of integer n?
A.10
B.12
C.16
D.22
Answer: C.16
Explanation: The average of the numbers in set S is 10.
If we increase the mean by 10%, the new mean is 11.
Thus, on average, 5 numbers increase by 1.
Therefore n = 11+5 = 16
The answer is C.
Question: If (4 - x)/(3 + x) = x, what is the value of x^2 + 4x - 4?
A.-4
B.-1
C.0
D.1
Answer: C.0
Explanation: (4-x) = x*(3+x)
(4-x) = 3x+x^2
0 = x^2+4x-4
The answer is C.
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
A.50 m
B.72 m
C.80 m
D.82 m
Answer: A.50 m
Explanation: Let the length of each train be x metres.
Then, distance covered = 2x metres.
Relative speed = (46 - 36) km/hr
=(10 x(5/18)m/sec
=	(25/9)m/sec
(2x/36)	=	(25/9)
2x = 100
x = 50.
A
Question: Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 5000 Km?
A.10.
B.250.
C.30.
D.38.
Answer: B.250.
Explanation: Total distance= Distance travelled by A +Distance travelled by car B
Distance= speed*time
Distance of A= 3x * 6
Distance of B= x*2
(3x * 6) + (x*2) = 5000
x= 250 KM/hr
B is the answer
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
A.5%
B.7%
C.9%
D.2%
Answer: A.5%
Explanation: 160 = (180*4*R)/100
R = 5%
Answer: A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share?
A.8239
B.2900
C.2000
D.2393
Answer: C.2000
Explanation: Let the shares of A, B, C and D be 5x, 2x, 4x and 3x Rs. respectively.
Then, 4x - 3x = 1000 => x = 1000.
B's share = Rs. 2x = 2 * 1000 = Rs. 2000.
Answer: C
Question: A train 270 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :
A.30 sec
B.32 sec
C.36 sec
D.38 sec
Answer: C.36 sec
Explanation: Relative speed = (25+2) km/hr = 27 km/hr
= (27×5/18) m/sec = 15/2 m/sec.
Time taken by the train to pass the man =(270×2/15) sec=36 sec
ANSWER :C
Question: The average monthly salary of 20 employes in an organisation is Rs.1500. If the manager's salary is added, then the average salary increases by Rs.100. What is the manager's monthly salary?
A.Rs. 2000
B.Rs. 2400
C.Rs. 3600
D.Rs. 4000
Answer: C.Rs. 3600
Explanation: Solution
Manager's monthly salary	= Rs.(1600x21-1500x20)
= Rs. 3600
Answer C
Question: What percent of 6.3 kg is 25 gms ?
A.39
B.66
C.288
D.19
Answer: A.39
Explanation: Explanation:
Required percentage = (25/63000 * 100)% = 39/100% = 0.39%
Answer: A) .39%
Question: x = 13.175
y = 7.496
z = 11.545
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
A.0.01
B.0.02
C.0.03
D.0.1
Answer: B.0.02
Explanation: Rounding off the values:
x = 13.18
y = 7.50
z = 11.55
A = 13.18 + 7.50 + 11.55 = 32.23
x + y + z = 13.175 + 7.496 + 11.545 = 32.206
B = 32.21
A - B = 0.02
Option B
Question: Find the next number ?
7,14,55,110,?
A.111
B.121
C.131
D.141
Answer: B.121
Explanation: 7 + 7=14
reverse the 14 so 41
41+14=55
55 reverse so 55
55 +55=110
reverse the 110 is 011 so
110+011=121
ANSWER:B
Question: Four boys and three girls stand in queue for an interview. The probability that they stand in alternate positions is?
Correct
A.1/35
B.1/34
C.1/68
D.1/17
Answer: A.1/35
Explanation: Total number of possible arrangements for 4 boys and 3 girls in a queue = 7!
When they occupy alternate position the arrangement would be like:
B G B G B G B
Thus, total number of possible arrangements for boys = (4 x 3 x 2)
Total number of possible arrangements for girls = (3 x 2)
Required probability = (4 x 3 x 2 x 3 x 2)/7!
= 1/35
ANSWER:A
Question: players a to z play a league match in which every player plays a match against every other player. a win earns 2 points, a draw 1 point and loss 0 points. there were no draws, and no two players had the same total points. the rank list of the players happens to be the alphabetical list itself. which of the following statement is true?
A.n wins over m
B.m wins over n
C.m did not play against
D.All of them
Answer: B.m wins over n
Explanation: m wins over n
ANSWER:B
Question: What is the units digit of 18! + 5 ?
A.2
B.3
C.4
D.5
Answer: D.5
Explanation: Any number above 4!, such as 5!, 6!, etc... are always multiples of 10, so their units digit is 0.
The units digit of 18! + 5 is 5.
The answer is D.
Question: The bankerâ€™s gain on a sum due 3 years hence at 17% per annum is Rs. 100. The bankerâ€™s discount is
A.Rs.960
B.Rs.840
C.Rs.296
D.Rs.760
Answer: C.Rs.296
Explanation: Solution
T.D	=(B.G x 100 / R x T)
= Rs.(100x100/17 x 3)
= Rs.196.
B.D
=Rs(196+ 100)
= Rs.296.
Answer C
Question: Find the ratio of purchase price and sell price if there is loss of 12 1/(2 )%
A.7/8
B.8/7
C.6/8
D.8/6
Answer: B.8/7
Explanation: If purchase price is Rs 100, then SP = Rs 87.5
so ratio of purchase price and sell price if there is loss of 12 1/(2 )% = 100/87.5= 8/7
ANSWER:B
Question: The angles of a triangle are in the ratio 1:3:16. Find the measurement of the largest of three angles of triangle.
A.90°
B.100°
C.120°
D.144°
Answer: D.144°
Explanation: If the ratio of the three angles is 1:3:16, then the measures of these angles can be written as x, 3x and 16x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence
x + 3x + 16x = 180
Solve for x
20x = 180
x = 9
The measures of the three angles are
x = 9°
3x = 3 ×9 = 27°
16x = 16 × 9 = 144°
D
Question: From a bag containing 12 identical blue balls, y identical yellow balls, and no other balls, one ball will be removed at random. If the probability is less than 2/5 that the removed ball will be blue, what is the least number of yellow balls that must be in the bag?
A.17
B.18
C.19
D.20
Answer: B.18
Explanation: 12/x = 2/5
x = 30 total number of balls.
There must be at least 18 yellow balls in the bag.
Answer: B.
Question: City A to city B, Andrew drove for 1hr at 44 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
A.56
B.57.5
C.61
D.61.5
Answer: A.56
Explanation: The total distance is 1×44+3×60=224
And the total time is 4 hours. Hence,
Average Speed=(Total Distance/Total Time)
=224/4=56
A
Question: Mrs. Rodger got a weekly raise of $195. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
A.$204
B.$231
C.$156
D.$195
Answer: D.$195
Explanation: Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 195.
So after completing the 1st week she will get $ (x+195).
Similarly after completing the 2nd week she will get $ (x + 195) + $ 195.
= $ (x + 195 + 195)
= $ (x + 390)
So in this way end of every week her salary will increase by $ 195.
D
Question: A box contains 14 pairs of shoes (28shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
A.1/190
B.1/20
C.1/19
D.1/27
Answer: D.1/27
Explanation: The problem with your solution is that we don't choose 1 shoe from 28 but rather choose the needed one AFTER we just took one and need the second to be the pair of it. So, the probability would simply be: 1/1*1/27(as after taking one at random there are 27 shoes left and only one is the pair of the first one)=1/27
Answer: D
Question: How much interest will $10,000 earn in 9 months at an annual rate of 10%?
A.$250
B.$350
C.$450
D.$60
Answer: D.$60
Explanation: Soln:-
9 months = 3/4 of year;
10% = 10/100=1/10;
$10,000(principal)*3/50(interest rate)*1/10(time)=$60.
ANSWER:D
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 14 with him, what was the average amount with the group before his joining the group?
A.s.17
B.s.20
C.s.15
D.s.21
Answer: D.s.21
Explanation: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 14. So, the amount with remaining 6 people = 140 - 14 = Rs. 126
The average amount with them = 126/6
= Rs.21.
Answer:D
Question: A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 4 days. How many more days are required to complete the remaining work if they work together?
A.2 (4/11)
B.3 (5/16)
C.3 (5/11)
D.3 (5/13)
Answer: A.2 (4/11)
Explanation: A can do 1/10 of the work in a day.
B can do 1/12 of the work in a 1 day.
Both of them together can do (1/10 + 1/12) part of work in 1 day = (6 + 5)/60 = 11/60
They take 60/11 days to complete the work together.
Given that they already worked for 4 days.
The number of days required to complete remaining work => 60/11 - 4 = 26/11 = 2 (4/11) days.
Answer:A
Question: Ayesha's father was 54 years of age when she was born while her mother was 44 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A.2 years
B.12 years
C.14 years
D.7 years
Answer: C.14 years
Explanation: Explanation:
Mother's age when Ayesha's brother was born = 44 years.
Father's age when Ayesha's brother was born = (54 + 4) = 58 years.
Required difference = (58 - 44) = 14 years.
Answer: Option C
Question: If 6 (A's capital) = 8 (B's capital) = 18 (C's capital). Then the ratio of their capitals is?
A.12:15:16
B.12:15:4
C.12:9:4
D.20:15:11
Answer: C.12:9:4
Explanation: 6A = 8B = 18 C
A:B:C = 1/6:1/8:1/18
= 12:9:4
Answer: C
Question: Find the amount on Rs.4000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
A.4368
B.2678
C.5460
D.1976
Answer: A.4368
Explanation: 4000 * 104/100 * 105/100 => 4368
Answer: A
Question: What is the median from the below series
52, 56, 59, 54, 60, 51, 63, 58, 53, 62, and 50
A.55
B.58
C.60
D.56
Answer: D.56
Explanation: Ordering the data from least to greatest, we get:
50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63
The median number was 56. (Five numbers were higher than 56 and five were lower.)
D
Question: There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 14 have taken a course in finance and 15 have taken a marketing course. 10 of the employees have taken exactly two of the courses and 1 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses?
A.11
B.5
C.9
D.8
Answer: A.11
Explanation: 50 Employees. Counting every different attendand to the courses we have:
Accounting: 22
Finance: 14
Marketing: 15
Which would add up to 51 different attendands, which is not possible.
Now 10 have taken exactly 2 courses, which means that there are 10 less different attendands. Say that 10 of the Finance attentands also attended Accounting.
51-10= 41
1 Person has taken all three courses. As above, we subtract him from the number of different attendands. Since this time the person took all three courses, we have to substract him two times.
41-2= 39.
Answer : A
Question: A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 35% impurities to the product. Find the net profit percentage of the dealer?
A.44%
B.40%
C.68.75%
D.56.25%
Answer: C.68.75%
Explanation: The dealer uses weight which is 20% less than the real weight. or (1- 1/5) or 4/5 of real weight.
It means that he is selling $4 worth of product for $5.
The dealer then further added 35% impurities to the product.
It means that he is selling $5 worth of product for $6.75.
So his profit is $6.75-$4 = $2
and his profit percent is
(2.75/4)*100 = 68.75%
Answer:- C
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 28150. What percentage of profit did he make?
A.22
B.27
C.40
D.26.5
Answer: D.26.5
Explanation: The total CP = Rs. 16000 + Rs. 6250 = Rs. 22250 and SP = Rs. 28150
Profit(%) = (28150 - 22250)/22250 * 100 = 26.5%.Answer:D
Question: A circular swimming pool is surrounded by a concrete wall 4 feet wide.if the area of the wall is 11/25 of the area of the pool, then the radius of the pool in feet is?
A.22
B.20
C.9
D.8
Answer: B.20
Explanation: Let the radius of the pool be r. Then area of the wall and pool = π(r+4)2π(r+4)2
Area of the pool = π(r)2π(r)2
Area of the wall = π(r+4)2−π(r)2π(r+4)2−π(r)2
Given π(r+4)2−π(r)2π(r+4)2−π(r)2 = 1125(πr2)1125(πr2)
r2+8r+16−r2=1125r2r2+8r+16−r2=1125r2
11r2−200r−400=011r2−200r−400=0
Solving r = 20
Answer:B
Question: Rs.200 amounts to Rs.800 in 8 years at simple interest. If the interest is increased by 5%, it would amount to how much?
A.520
B.440
C.260
D.280
Answer: D.280
Explanation: (200*5*8)/100 =80
200+ 80 = 280
Answer: D
Question: An investment of d dollars at k percent simple annual interest yields $900 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $1,800 over a 3 year period?
A.(2d)/3
B.(3d)/4
C.(4d)/3
D.(3d)/2
Answer: C.(4d)/3
Explanation: 900 dollars in 2 years means 450 dollars in 1 year.
To get 1800 dollars' it will take 4 years.
To get 1800 in 3 years, we need 4/3 times money. Answer is C.
Question: Find the sum of all the four digit numbers which are formed by digits 1, 2, 5, 6
A.
B.
C.
D.
A.933510
B.93324
C.65120
D.8400
Answer: B.93324
Explanation: There are 4!=24 four digit numbers which are formed by digits 1, 2, 5, 6.
Obviously 24/4=6 numbers will end with 1; 6 numbers will end with 2, 6 numbers with 5 and 6 numbers with 6.
6*1+6*2+6*5+6*6=6*14=84, which means that the sum of all these 24 numbers must end by 4, only answer choice with 4 at the end is B.
Answer: B.
Question: What is the area of a square field whose sides have a length of 14 meters?
A.196 sq m
B.286 sq m
C.298 sq m
D.267 sq m
Answer: A.196 sq m
Explanation: 14 * 14 = 196 sq m
The answer is A.
Question: Here is a list of names with numbers assigned to them
Lavesh = 622
Anmol = 522
Shruti = 620
Aakriti = 742
Based on above Logic what is the value of Sonal ?
A.522
B.422
C.624
D.570
Answer: A.522
Explanation: A
1st Number = Number of alphabtes
2nd Number = Number of vowels
3rd Nummber = Number Of Circles
Lavesh = 6 alphabets + 2 vowels(a,e) + 2 circles(in 'a' and in 'e') = 622
Anmol = 5 alphabets + 2 vowels(a,0) + 2 circles(in 'a' and in 'e') = 522
Shruti = 6 alphabets + 2 vowels(u,i) + 0 circles = 620
Aakriti = 7 alphabets + 4 vowels(a,a,i,i) + 2 circles(in 'A' and in 'a') = 742
Hence,
Sonal = 5 alphabets + 2 vowels(a,o) + 2 circles(in 'a' and in 'o') = 522
Question: If (x - 1)^2 = 361, which of the following could be the value of x - 5?
A.16
B.14
C.-23
D.-25
Answer: C.-23
Explanation: (x - 1)^2 = 361
(x - 1) = 19 or -19
x = 20 or -18
x - 5 = 15 or -23
The answer is C.
Question: There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 54%
A.18.75
B.19.75
C.20.75
D.33
Answer: D.33
Explanation: 60*84/100=50.40 lit milk that is 9.60 lit water
let x lit water will be added then
(60+x)*54/100=50.40
so x=33.33
ANSWER:D
Question: In an IT company, there are a total of 60 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?
A.15
B.50
C.55
D.35
Answer: A.15
Explanation: You could pick 10 non-programmers, 2 male programmers, and 2 female programmers, and still not have 3 programmers of the same sex. But if you pick one more person, you must either pick a male or a female programmer, so the answer is 15.
A
Question: How many number of 3's would be used to type numbers from 1 to 700
A.210
B.220
C.230
D.240
Answer: D.240
Explanation: 1-99--20 (3,13,23,30,31,32,33,34,35,36,37,38,39,43,53,63,73,83,93)
likewise
100-199--20
200-299--20
300-399--120 (300-399 there is extra 100 3's)
400--499--20
500--599--20
600-700--20
20+20+20+120+20+20+20=240
ANSWER:D
Question: A and B are working on an assignment. A takes 6 hours to type 32 pages on a computer, while B takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
A.3 hours
B.8 hours
C.6 hours
D.7 hours
Answer: B.8 hours
Explanation: B
8 hours
Number of pages typed by A in one hour=32/6=16/3
Number of pages typed by B in one hour=40/5=8
Number of pages typed by both in one hour=((16/3)+8)=40/3
Time taken by both to type 110 pages=110*3/40=8 hours.
Question: If 144/x is an integer and 100/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer
A.I only
B.III only
C.I and II only
D.II and III only
Answer: D.II and III only
Explanation: I think, here we should use the greatest common factor.
The greatest common factor for 144 and 108 is 36.
So 36/x is an integer.
For the rest of the answers, if x is 36 then 9/x and 12/x leads to fractions.
Ans is D.
Question: 1, 9, 25, 49, 81, ?
A.121
B.114
C.153
D.158
Answer: A.121
Explanation: A
121
The series consists of squares of consecutive prime numbers.
Question: The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 141, what is the difference between the ages of Patrick and Monica?
A.27
B.48
C.45
D.72
Answer: B.48
Explanation: Ages of P and Mi=3x+5x
Ages of Mi and Mo=3x:5x
Rationalizing their ages. ratio of their ages will be 9x:15x:25x
Sum=47x=141
x=3
Difference if ages of Pa and Mo=25x-9x=16x=16*3=48
Answer B
Question: A $74.95 lawn chair was sold for $59.95 at a special sale. By approximately what percent was the price decreased?
A.15%
B.20%
C.25%
D.60%
Answer: B.20%
Explanation: Listed selling price of chair = 74.95 $
Discounted selling price of chair = 59.95 $
Discount = 74.95 - 59.95 = 15 $
% decrease in price of chair = (15/74.95) * 100% = 20 % approx
Answer B
Question: Linda spent 2/3 of her savings on furniture and the rest on a TV. If the TV cost her $250, what were her original savings?
A.$750
B.$350
C.$650
D.$550
Answer: A.$750
Explanation: If Linda spent 2/3 of her savings on furniture, the rest
3 / 3 - 2 / 3 = 1 / 3 on a TV
But the TV cost her $250. So 1 / 3 of her savings is $250. So her original savings are 3 times $250 = $750
correct answer A
Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
A.6
B.9
C.8
D.2
Answer: B.9
Explanation: 1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 – 81
= 9
Answer:B