RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then BED?
A.33
B.34
C.35
D.32
Answer: A.33
Explanation: GOOD=(7+15+15+4)*4=164
BAD= (2+1+4)*3=21
UGLY= (21+7+12+25)*4=260
coding follows
(sum of position of alphabets)*(no. of letters in the given word)
so,
BED=(2+5+4)*3= 33
ANSWER:A
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A.40
B.37
C.32
D.39
Answer: A.40
Explanation: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec
Answer: A
Question: Jar X is 1/2 full of water. Jar Y, which has half the capacity of Jar X, is 1/4 full of water. If the water in Jar Y is poured into Jar X, then Jar X will be filled to what fraction of its capacity?
A.3/4
B.5/8
C.7/8
D.5/12
Answer: B.5/8
Explanation: Let P be the capacity of Jar X.
The amount of water in Jar Y is 1/4*P/2=P/8
Then the total amount in Jar X is P/2+P/8=5P/8
The answer is B.
Question: Two pumps are connected to an empty tank. Pump X fills the tank with water at a constant rate, while pump Y drains water out of the tank at a constant rate. The two pumps finish filling the tank in three times the duration it would take pump X alone to fill the tank. If pump Y alone can empty a whole tank in 36 minutes, then how many minutes does it take pump X alone to fill the tank?
A.18
B.24
C.26
D.28
Answer: B.24
Explanation: Let V be the volume of the tank.
Let R be the rate per minute that pump X fills the tank.
Let T be the time it takes pump X to fill the tank.
The rate at which pump Y empties the tank is V/36 per minute.
(R - V/36)*3T=V=RT.
(R-V/36)*3=R
2R=V/12.
R=V/24.
It takes pump X 24 minutes to fill the tank.
The answer is B.
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
A.2
B.8
C.7
D.62
Answer: B.8
Explanation: Explanation:
96% ---- 12
144% ---- ?
96/144 * 12 = 8
Answer: B
Question: How much 60% of 50 is greater than 40% of 30?
A.18
B.27
C.26
D.29
Answer: A.18
Explanation: (60/100) * 50 – (40/100) * 30
30 - 12 = 18
Answer: A
Question: Two friends A and B are running up hill and then to get down! length of road is 440 yards. A on his return journey met B going up at 20 yards from top, A has finished the race 5 minutes earlier than B, then how much time A had taken to complete the race.
A.51.5minutes
B.52.5minutes
C.53.5minutes
D.54.5minutes
Answer: B.52.5minutes
Explanation: When A travels 460m (=440+20), B travels 420m (=440-20). So, ratio of speed = 460:420 = 23:21. Let A's speed be 23x, and that of B's be 21x.
23x = ((2*440) / t) which implies 23t = 880/x;
21x = ((2*440) / (t+5)) which implies 21(t+5) = 880/x.
From these two equations, 23t = 21(t+5). Solving, t = 52.5minutes
ANSWER:B
Question: If pq = p^5 + q^2 – 2pq, for what value of q is pq equal to p^5 for all values of p?
A.-2
B.-1
C.0
D.1
Answer: C.0
Explanation: C
p5 + q2 â€“ 2pq = p5
=> q2 - 2pq = 0
=> q (q - 2p) = 0
=> q = 0 or q = 2p
im not following the logic you used here.. how did you replace pq with 0 could someone help explain it in MORE DETAI
C
Question: A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 380 dollars, and, in a third, loses 70. In the end he finds he has gained 250 dollars, by the three together. How much did he gain or lose bv the first ?
A.80
B.60
C.-60
D.-70
Answer: C.-60
Explanation: In this sum, as the profit and loss are opposite in their nature, they must be distinguished by contrary signs. If the profit is marked +, the loss must be -.
Let x = the sum required.
Then according to the statement x + 380 - 70 = 250
And x = -60.
Answer C
Question: The editor of an anthology of short stories will select authors from a pool of 11 authors, of which 5 are female. If the anthology is to include the work of 6 authors of which at least 2 are female, in how many ways can the editor select the authors?
A.420
B.431
C.442
D.453
Answer: B.431
Explanation: 11C6 = 462
The number of ways to select 6 males is 6C6 = 1
The number of ways to select 5 males and 1 female is 6C5*5C1 = 30
462 - 1 - 30 = 431
The answer is B.
Question: A certain league has five divisions. The respective divisions had 6, 7, 8, 9 and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
A. 81
B. 83
C. 85
D. 86
Answer: A. 81
Explanation: Overall, there can be 81 minuses. Tus, it is A.
Question: The area of a triangle is with base 4m and height 5m?
A.11 m2
B.10 m2
C.18 m2
D.19 m2
Answer: B.10 m2
Explanation: 1/2 * 4 * 5
= 10 m2
Answer: B
Question: The sum s of prime numbers that are greater than 60 but less than 70 is
A. 67
B. 128
C. 191
D. 197
Answer: B. 128
Explanation: A prime number is a number that has only two factors: 1 and itself. Therefore, a prime number is divisible by two numbers only.
Let's list the numbers from 61 to 69.
61, 62, 63, 64, 65, 66, 67, 68, 69
Immediately we can eliminate the EVEN NUMBERS because they are divisible by 2 and thus are not prime.
We are now left with: 61, 63, 65, 67, 69
We can next eliminate 65 because 65 is a multiple of 5.
We are now left with 61, 63, 67, 69.
To eliminate any remaining values, we would look at those that are multiples of 3. If you don’t know an easy way to do this, just start with a number that is an obvious multiple of 3, such as 60, and then keep adding 3.
We see that 60, 63, 66, 69 are all multiples of 3 and therefore are not prime.
Thus, we can eliminate 63 and 69 from the list because they are not prime.
Finally, we are left with 61 and 67, and we must determine whether they are divisible by 7. They are not, and therefore they must be both prime. Thus, the sum s of 61 and 67 is 128.
Answer B.
Question: A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m2 ?
A.33
B.57
C.88
D.26
Answer: B.57
Explanation: 2 *3(15 + 4) = 114
114 * 1/2 = Rs.57
\Answer:B
Question: If x varies inversely as (y2 - 1) and is equal to 24 when y = 10, the value of x when y = 5 will be ?
A.100
B.101
C.99
D.98
Answer: C.99
Explanation: Let X = K/(Y2 - 1).
Now 24 = K/(100 - 1)
Or K = 24 x 99.
X = K/(Y2 – 1)
When Y = 5, X = 24 × 99/(25 - 1 ) = 99
ANSWER:C
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
A.230
B.278
C.266
D.555
Answer: A.230
Explanation: Relative speed = 120 + 80 = 200 km/hr.
= 200 * 5/18 = 500/9 m/sec.
Let the length of the other train be x m.
Then, (x + 270)/9 = 500/9 => x = 230.
Answer:A
Question: a boy perform 5 times a reaction and his reading are 2,2.1,2,2.2 but unfortunately
5th reading clearly not visible because a drop of chemical fall onto it.but luckily he
have mean of all reading which is 2.please help him in finding 5th reading.
A.2
B.1.7
C.1.9
D.1.8
Answer: B.1.7
Explanation: solution
let 5th reading be x
(2+2.1+2+2.2+x)/5=2
8.3+x=10
x=1.7
answer B
Question: Out of a group of 10 contestants, 2 are to be selected at random. What is the maximum number of male contestants possible if the probability that both selected contestants are male is less than 20% ?
A. 0
B. 1.51
C. 2
D. 2.12
Answer: D. 2.12
Explanation: Let y be the number of males.
Total contestants = 10
Probability that the first contestant selected is a male = y/10
Probability that the second contestant selected is also a male = y-1/9
Total probability = y(y-1)/ 90 < 1/20 (this probability is less than 20%)
Solving for y we get, y(y-1)< 9/2. This implies that the maximum value of y can be 2.12.
Answer D!
Question: A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the
second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take
both the punctures together to make it flat ?
A.315min
B.325min
C.335min
D.345min
Answer: C.335min
Explanation: Explanation:
Do not be confused, Take this question same as that of work done question's. Like work done by 1st
puncture in 1 minute and by second in 1 minute.
Lets Solve it:
1 minute work done by both the punctures =
(19+16)=(518)
So both punctures will make the type flat in
(185)mins=335mins
Answer: C
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
A.40
B.80
C.90
D.100
Answer: A.40
Explanation: Let the numbers be 3x, 4x and 5x.
Then, their L.C.M. = 60x.
So, 60x = 2400 or x = 40.
The numbers are (3 x 40), (4 x 40) and (5 x 40).
Hence, required H.C.F. = 40.
Answer: Option A
Question: In a graduating class, 40 percent of the students are male. In this class, 60 percent of the male students and 40 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
A.0.4
B.0.44
C.0.48
D.0.52
Answer: D.0.52
Explanation: Let x be the total number of students.
The number students who are younger than 25 is 0.4*0.4x+0.6*0.6x = 0.52x
The answer is D.
Question: In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 655200 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
A.1300000
B.12500
C.14000
D.12000
Answer: A.1300000
Explanation: Explanation :
Solution: let the total number of votes enrolled be x. then, number of votes cast = 70% of x. valid votes = 96% of(70% of x). .'. 75% of(96% of (70% of of x)) = 655200.
(75/100 * 96/100 * 70/100 * x) = 655200.
=> x = (655200*100*100*100)/(75*96*70) = 1300000
Answer : A
Question: Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:
A.three times as much
B.twice as much
C.the same
D.half as much
Answer: B.twice as much
Explanation: Let speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.
Speed = Distance/Time.
I.E Time = Distance/Speed.
times taken to covered a distance of 50 miles on his first trip = 50/x hr.
And times taken to covered a distance of 300 miles on his later trip = 300/3x hr.
= 100/x hr.
So we can clearly see that his new time compared with the old time was: twice as much.CORRECT ANSWER : B
Question: If a, b and c are the sides of a triangle, and a2 + b2 + c2 = bc + ca + ab, then the triangle is
A.equilateral
B.isosceles
C.right-angled
D.obtuse-angled
Answer: A.equilateral
Explanation: Explanation :
We know that (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac = 3ab + 3bc + 3ac
Now assume values of a, b, c and substitute in this equation to check the options.
Shortcut:
(a – b)2 + (b – c)2 + (c – a)2 = 0.
Hence, a = b = c.
Answer : A
Question: jhon has 10 choclates, jennifer has 5 choclates. Totally how many choclates they have in all?
A.5
B.10
C.15
D.20
Answer: C.15
Explanation: 10+5=15. Answer is C
Question: One vessel contains a mixture of 5 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 3 parts soda. Compare the strength of the wine.
A.35;36
B.15 : 18
C.7 : 4
D.14 : 5
Answer: B.15 : 18
Explanation: 5/8 : 9/12
LCM of 8,12 = 24
(5/8)*24 : (9/12)*24
15:18
Answer is B.
Question: Find the third proportional to 63 and 29.9?
A.14.09
B.14.29
C.14.19
D.14.16
Answer: C.14.19
Explanation: Explanation:
Formula = Third proportional = (b × b)/a
A = 63 and B = 29.9
(29.9 × 29.9)/ 63 = 894.01/63 = 14.19
Answer: Option C
Question: A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
A.120%
B.190%
C.100 percent
D.200%
Answer: C.100 percent
Explanation: MP = 100
CP = 75
SP = 150
------
75 ---- 75
100 ---- ? => 100%
Answer:C
Question: The ratio of the number of females to males at a party was 1:2 but when 3 females and 3 males left, the ratio became 1:3. How many people were at the party originally?
A.14
B.16
C.18
D.20
Answer: C.18
Explanation: The total number of people are x females + 2x males.
3*(x-3) = 2x - 3
x = 6
There were 3x = 18 people at the party originally.
The answer is C.
Question: The average (arithmetic mean) of 20, 40, and 60 is 5 more than the average of 10, 50, and what number?
A.40
B.45
C.55
D.45
Answer: D.45
Explanation: a1 = 120/3 = 40
a2 = a1 -5 = 35
sum of second list = 35*3 = 105
therefore the number = 105 -60 = 45
D
Question: In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 8% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
A.22%
B.23.9%
C.24%
D.25%
Answer: B.23.9%
Explanation: Since 8% of the customers who sample the candyare notcaught, then 88% of the customers who sample the candyarecaught:
{% of customers who sample candy}*0.92 = 0.22;
{% of customers who sample candy} = 0.239.
Answer: B.
Question: The least number which must be subtracted from 6709 to make it exactly divisible by 9 is:
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: On dividing 6709 by 9, we get remainder= 4
Therefore, required number to be subtracted= 4
ANSWER:C
Question: If 3^k - 3^(k-1) = 162 then k(k-1) =
A.12
B.16
C.20
D.30
Answer: C.20
Explanation: It seems like you were really close but you solved for k - 1 instead. I am curious - how did you reason through the question? Perhaps you figured the answer has to be in the form of k(k -1), e.g. (3)(4) = 12. Even then, had you figured k has to be a little bigger (plugging in 4 for k gives you 81 which is too low), So when you reasoned the answer to be 4 you may have plugged the 4 in the (k - 1) exponent place.
Again, a quick plugging in should get you (C) 20 as, the only other answer with consecutive integers as factors is far too big.
Question: 10 is added to a certain number, the sum is multiplied by 2, the product is divided by 2 and 2 is subtracted from the quotient. The remainder left is half of 88. What is the number?
A.21
B.20
C.25
D.36
Answer: D.36
Explanation: Let number is X.
When 10 added to it,
= (X+10)
2 multiplied to sum,
= 2 *(X +10)
Now,
= [{2 *(X +10)} /2]
And,
= [{2 *(X +10)} /2] - 2
According to question,
[{2 *(X +10)} /2] - 2 = half of 88
[(2X + 20) /2) = 44 +2
X + 10 = 46
X + 10 = 46
X = 46 - 10
X = 36
So, required number is: 36.
ANSWER : D
Question: If f(a)=4a+6b+8, what is the value of (f(3a)-f(2b)) ?
A.6a+8b+6
B.8a-6b
C.5a+3b-8
D.6a+7b+3
Answer: B.8a-6b
Explanation: f(a)=4a+6b+8
f(3a) = 12a+6b+8
f(2b) = 4a+12b+8
(f(3a)-f(2b)) = 12a+6b+8-4a-12b-8 = 8a-6b
Answer is B
Question: A train 200 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
A.10
B.20
C.30
D.40
Answer: D.40
Explanation: S = (200 + 300)/45 = 500/45 * 18/5 = 40
ANSWER:D
Question: A square and a rectangle have equal areas. If their perimeters are p1 and p2 respectively, then
A.p1 < p2
B.p1 = p2
C.p1 > p2
D.none of these
Answer: A.p1 < p2
Explanation: Solution
A square and a rectangle with equal areas will satisfy the relation p1 < p2.
Answer A
Question: Mr. stenley employed a certain number of typist for his project. 8 days later 20% of the typist left the job and it was found that it took as much time to complete the rest work from then as the entire work needed with all the employed typists. The average speed of a typist is 20 pages/hour. Minimum how many typist could be employed?
A.10
B.5
C.15
D.4
Answer: B.5
Explanation: Explanation:
Since 20% (i.e 1/5) typists left the job. So, there can be any value which is multiple of 5 i.e, whose 20% is always an integer. Hence, 5 is the least possible value.
Answer: B
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.Rs. 4980
B.Rs. 4991
C.Rs. 4996
D.Rs. 4997
Answer: B.Rs. 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.
B)
Question: An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 5 o’clock in the afternoon?
A.60°
B.90°
C.270°
D.320°
Answer: C.270°
Explanation: Sol.
Angle traced by the hour hand in 9 hours = [360/12 * 9]° = 270°
Answer C
Question: A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sellis the radio for Rs 300. The profit percent of the retailer is
A.22
B.32
C.25
D.88
Answer: C.25
Explanation: Explanation:
cost price = (225 + 15) = 240 sell price = 300
gain = (60/240)*100 = 25%
Answer: C) 25%
Question: A train 125 m long passes a person, running at 5 km/hr in the same direction in which that the train is going, in 10 seconds. The speed of the train is:
A.40 km/hr
B.60 km/hr
C.55 km/hr
D.50 km/hr
Answer: D.50 km/hr
Explanation: speed of train related to a person = 125/10 m/s
=>25/2
(25/2*18/5) km/hr
=45 km/hr
so speed consider as x and relative speed consider (x-5)
x-5 = 45 => x = 50 km/hr
ANSWER D
Question: How many three-digit numbers that do not contain the digits 2 or 5 are there?
A.488
B.996
C.228
D.456
Answer: B.996
Explanation: We can have 7 digits ( 1,3,4,6,7,8,9) for the first place ( hundred's place).
and similarly 8 digits for tenth's and unit digit. ( 0,1,3,4,6,7,8,9)
So in total 7*8*8= 488
Hence B
Question: Each of the following equations T has at least one solution EXCEPT
A.T=–2^n = (–2)^-n
B.T=2^-n = (–2)^n
C.T=2^n = (–2)^-n
D.(–2)^n = –2^n
Answer: A.T=–2^n = (–2)^-n
Explanation: While it is possible to reason out which of these choices must not work, we may not have time or the confidence to do so. However, this problem has variable in its answer choice, and relatively simple math. Therefore, an easy alternative is picking numbers.
Since we're dealing with exponents, we want to keep things as easy as possible. Hence, we'll start with the easiest exponent possible: n = 1. A, B, and C are not solved (x^-n = 1/(x^n), so we're comparing integers to fractions), but choices D and E both end up valid, eliminating them from contention.
In the process of doing this, however, we've uncovered a major clue to our next step: A, B, and C, all compared integers to fractions, and the only integer equal to it's reciprocal is 1, which is equal to 1/1. This, in turn, tells us the we need to pick n = 0. Remember, for all non-zero x, x^0 = 1.
If we plug n = 0 into choices B and C, we end up with 1 = 1 both times. Choice A, however, results in the false 1 = -1. Thus, we conclude that the first choice has no valid solutions, and is therefore the correct answer.
Question: Find the middle one when The sum of three consecutive even numbers is 36?
A.10
B.12
C.14
D.15
Answer: B.12
Explanation: 3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 36.
Hence a = 12.
B
Question: 26 men can complete a piece of work in 8 days. In how many days will 25 men complete the same work?
A.7 1/3 days
B.9 1/3 days
C.8 2/3 days
D.8 1/3 days
Answer: D.8 1/3 days
Explanation: Let the required number of days be p
More men, less days (indirect proportion)
Hence we can write as
26 : 25 :: p : 8
26*8=25*p
p=26*8/25
p=8 1/3 days
ANSWER:D
Question: A train 110 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is
A.54 kmph
B.60 kmph
C.66 kmph
D.72 kmph
Answer: B.60 kmph
Explanation: speed of train relative to man: 110/6 * 18/5 km/hr
= 66 km/hr
let speed of train= x
therefore x+6 = 66
x= 66-6
x=60 km/hr
ANSWER:B
Question: If sq. root of(x)/|y| = -1 which of the following must be true?
A.x = -y
B.x = y
C.x = y^2
D.x^2 = y^2
Answer: C.x = y^2
Explanation: sq. root of(x)/|y| = -1
sq. root of(x)= -1 |y|
Squaring both sides
+ or - (x) = (-1 |y|) ^2= y^2
C is the answer
Question: 35 - [23 - {15 - x}] = 12 × 2 ÷ 1/2
A.34
B.32
C.17
D.27
Answer: B.32
Explanation: Explanation:
35 - [23 - {19 - (15 - x)}] = 12 × 2 × 2 = 48
=> 35 - 23 + (19 - 15 + x) = 48
=> 12 + 4 + x = 48
=> x = 48 - (4 + 12) = 32
Answer: Option B
Question: A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
A.33
B.77
C.12
D.88
Answer: C.12
Explanation: S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205. S.I. for 5 years = Rs. (2205/3) x 5 = Rs. 3675 Principal = Rs. (9800 - 3675) = Rs. 6125. Hence, rate = (100 x 3675)/( 6125 x 5) % = 12%
Answer: C:
Question: Set M contains numbers that satisfy the condition that, if integer x is in the set then x-3 will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M.
I.-7
II. -1
III. 2
A.I only
B.II only
C.I and II only
D.II and III only
Answer: A.I only
Explanation: Notice that we are askedwhich of the following numbers MUST also be present in the set MnotCOULD be in the set.
Now, if -4 is in the set, then -4-3=-7mustbe in the set. Could -1 or 2 be in the set? Certainly, but we don't know that for sure.
Answer: A.
Question: A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
A.1
B.7.5
C.2.25
D.1.5
Answer: A.1
Explanation: M = 3
S = x
DS = 3 + x
US = 3 - x
3 + x = (3 - x)2
3 + x = 3 -2x
3x = 3
x = 1
ANSWER:A
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 4 p.c?
A.28000
B.29000
C.37000
D.38400
Answer: D.38400
Explanation: Option B
Explanation:
CP + CP/8 = 45000
CP = 40000
SP = 40000*(96/100) = 38400
Option D
Question: You have 5 sticks of lengths 10, 20, 30, 40, 50 centimeters. The number of non-congruent triangles that can be formed by choosing three of the sticks to make the sides is
A.3
B.6
C.7
D.10
Answer: A.3
Explanation: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Based on this there can be only 3 triangles formed: (20, 30, 40), (20, 40, 50), (30, 40, 50)
Answer; A.
Question: A clockwise rotation around point Z (that is, a rotation
in the direction of the arrow) transforms the shaded
quadrilateral to the unshaded quadrilateral. The angle
of rotation is approximately
A.180o
B.270o
C.360o
D.45o
Answer: B.270o
Explanation: The measure of \PZQ formed by the bottom edge of the shaded
quadrilateral, ZQ, and this same edge after the rotation, ZP, is
approximately 90.
The transformation of the shaded quadrilateral to the unshaded
quadrilateral is a clockwise rotation around point Z through an an-
gle equal to the measure of re
ex angle PZQ.
The measure of \PZQ added to the measure of re
ex \PZQ is
equal to the measure of one complete rotation, or 360.
Therefore, the measure of re
ex angle PZQ is approximately
360o - 90o or 270o.
Thus the clockwise rotation around point Z is through an angle of
approximately 270o
correct answer B
Question: An error 19% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
A.6.64%
B.41.61%
C.45.64%
D.46.64%
Answer: B.41.61%
Explanation: Percentage error in calculated area
=(19+19+(19Ã—19)/100)%=41.61%
ANSWER:B
Question: Find 95 ×× 98
A.93/198
B.93/12
C.93/13
D.93/10
Answer: D.93/10
Explanation: Here both numbers are less than 100. So they are deficient of - 5 and - 2 compared with 100. So
Answer:	D