RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A train covers a distance of 100km in 1 hour. If its speed is decreased by 30km/hr, the time taken by the car to cover the same distance will be?
A.1hr
B.1hr 25min
C.50min
D.1hr 30min
Answer: B.1hr 25min
Explanation: Speed = 100/1 = 100km/hr
New speed = 100-30 = 70 km/hr
Time taken = 100/70 = 1hr 25min
Answer is B
Question: In a flower shop there were 5 flowers in each bouquet. If the seller has doubled the number of flowers in each bouquet then the new average of flowers in each bouque is
A.12
B.3
C.8
D.10
Answer: D.10
Explanation: Answer
Now required average
= old average x Multiplicand
= 5 x 2 = 10
Correct Option: D
Question: (A% of B + B% of A) is equal to ?
A.A% of B
B.B% of A
C.2% of AB
D.AB% of 3
Answer: C.2% of AB
Explanation: Answer
A% of B + B% of A =AB/100 + AB/100
= 2AB/100 = 2% of AB
Correct Option: C
Question: A train running at 50 km/hr takes 9 seconds to pass a platform. Next, it takes 6 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.
A.a) 75m50m
B.b) 100m50m
C.c) 50m45m
D.d) 100/3 m200/3
Answer: A.a) 75m50m
Explanation: A train running at 50 km/hr takes 9 seconds to pass a platform. Next, it takes 6 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.
Distance = Speed*time
It's probably best to convert to meters so we can find the length of the platform.
Distance = 50000 meters/h * 9 seconds*(1/60*60)
Distance =(50000*18 / [3600] ) = 125m
I'm not sure how we take the length of the train into account (if we do at all) to solve this problem. For example, If we were measuring by the time the very front of the train passed one end of the platform to the time the very front of the train passed the other end, the result would be different than if we counted when the very front of the train passed one end of the platform to the time the back side of the train passed the end.
As for the problem involving the man, the man is moving forward at a speed of 5km/h while the train is moving forward at a speed of 50km/h. Therefore, the train is moving past the man at a total speed of 45km/h.
distance = speed * time
distance = 45km/h * 12 seconds
distance (length of train) = 75 m
We know the length of the train is roughly 75m and the distance covered passing the platform was 125m. However, The platform isn't 125m long - it is 125m minus the length of the train long (or so I think) which is 125-75 or roughly 50m. Both of these answers are in A so I think that is the right answer. I am still having a bit of trouble conceptualizing why we have to subtract out the length of the train, however.
ANSWER: A) a) 75m50m
Question: Ravi's salary was reduced by 25%. Percentage increase to be effected to bring salary to original level =
A.33.38 %
B.33.33 %
C.83.33 %
D.33.35 %
Answer: B.33.33 %
Explanation: Explanation:
Let the Salary be 100.
Salary was reduced by 25%. So present salary = 75.
Percentage has to be increased in order to get Original level = 2575×1002575×100 = 33.33 %
Answer: B
Question: If p and q are positive integers, and 3 is not a factor of q, then q may be which of the following?
A.(p−1)·p·(p+1)
B.(p−3)·(p−1)·(p+1)
C.(p−2)·p·(p+2)
D.(p−1)·p·(p+2)
Answer: D.(p−1)·p·(p+2)
Explanation: Plugged in values :
let p=5
A. (p−1)·p·(p+1) --> divisible by 3
B. (p−3)·(p−1)·(p+1) --> divisible by 3
C. (p−2)·p·(p+2) --> divisible by 3
D. (p−1)·p·(p+2) --> not divisible. Hence the answer.
Question: If 7 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
A.40:15:15
B.40:25:18
C.40:35:28
D.40:25:24
Answer: C.40:35:28
Explanation: 7A = 8B = 10 C
A:B:C = 1/7:1/8:1/10
= 40:35:28
Answer: C
Question: What least number must be added to 686, so that the sum is completely divisible by 5 ?
A.2
B.3
C.5
D.4
Answer: D.4
Explanation: If we divide 686 by 5 remainder is 1
5 - 1 =4
Answer : D
Question: If a fair 6-sided die is rolled three times, what is the probability that exactly one 3 is rolled?
A.25/216
B.50/216
C.25/72
D.25/36
Answer: C.25/72
Explanation: Total ways in which a 6-sided die can be rolled three times = 6*6*6 = 216
To get exactly one 3, there are three ways:
A 3 on the first roll and non 3 on other two rolls. This can be done in 1*5*5 = 25 ways.
The 3 could be on the second or third roll too. So total favorable cases = 25*3 = 75
Required Probability = 75/216 = 25/72
Answer (C)
Question: The cost to park a car in a certain parking garage is $9.00 for up to 2 hours of parking and $1.75 for each hour in excess of 2 hours. What is the average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours?
A. $1.09
B. $1.67
C. $2.25
D. $2.36
Answer: D. $2.36
Explanation: Total cost of parking for 9 hours = 9$ for the first 2 hours and then 1.75 for (9-2) hours = 9+7*1.75 = 21.25
Thus the AVERAGE parking price = 21.25/9 = 2.36 $
D is the correct answer.
Question: A bag has 4 blue, 3 yellow and 2 green balls. The balls of the same color are identical. In how many ways can a child picks ball(s) out of the bag? He could even decide to pick ZERO balls.
A.60
B.1260
C.24
D.120
Answer: A.60
Explanation: With the blue ball there are 5 scenarios-->
0 blue ball being selected
1 blue ball being selected
2 blue ball being selected
3 blue ball being selected
4 blue ball being selected
And for each of these cases there is only one possibilty as they are identical.
So there are 5 ways to select the blue ball
Same is the case with 3 yellow (for which we have 4 possibilties) and 2 green balls(we have 3 possibilties)
so in total 5*4*3 = 60 possibilties..
ANS:A
Question: Roshan is 5 years younger than Raj and they have an age ratio 3:4 respectively. How old is Roshan?
A.10
B.15
C.18
D.24
Answer: B.15
Explanation: Let the age of Roshan be x.( x/x+5)=3/4
on cross multiplication and solving we get x=15
Answer: B
Question: An archer is shooting arrows from various distances. She shoots at a target from 50 yards, 60 yards, and 70 yards. The probability that she hits within the bullseye from 50 yards is 3/4, the probability that she hits within the bullseye from 60 yards is 2/3, and the probability that she hits within the bullseye from 70 yards is 3/5. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.
A.9/10
B.14/15
C.19/20
D.29/30
Answer: D.29/30
Explanation: The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)
The probability that she misses every shot = (prob that she misses from 50 yards)*(prob that she misses from 60 yards)*(prob that she misses from 70 yards)
Prob that she misses from 50 yards = 1 - 3/4 = 1/4; Prob that she misses from 60 yards = 1 - 2/3 = 1/3; Prob that she misses from 70 yards = 1 - 3/5 = 2/5
Thus the probability that she misses all shots = (1/4)*(1/3)*(2/5) = 1/30
Thus the probability that she makes at least one shot = 1 - (1/30) = 29/30
D
Question: There are 10 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 10 points that contain the point A?
A.36
B.105
C.182
D.210
Answer: A.36
Explanation: Any 2 points out 9 points will create triangle with third point A, so the answer is 9C2=36.
Answer: A.
Question: Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?
A.11/P + 6
B.11/P + 7
C.11/P + 2
D.11/P + 1
Answer: A.11/P + 6
Explanation: Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B
Answer: A
Question: If I walk at 4 km/h, I miss the bus by 10 minutes. If I walk at 5 km/h, I reach 5 minutes before the arrival of the bus. How far I walk to reach the bus stand ?
A.5 km
B.4.5 km
C.5 1⁄4 km/h
D.Cannot be determined
Answer: A.5 km
Explanation: d = product of speed difference of time /difference of speed
d = 4×5/60[10−(−5)/5−4]
[Here, –ve sign indicates before the schedule time]
⇒ d = 5 km
Answer A
Question: If Yury has been writing programming code for 16 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written?
A.126(10^2)
B.126(10^3)
C.144(10^2)
D.1.26(10^7)
Answer: C.144(10^2)
Explanation: 5 LINES IN 20 SECONDS
SO FOR 1 MINUTE ( 5 X 3 = 15 LINES )
I HOUR = 60 MINUTES
15 X 60 = 900 LINES IN AN HOUR
16 HOURS = 900 X 16 = 144(10^2)
ANSWER C
Question: In your classes you counted 130 hands. How many students were at the class?
A.65
B.61
C.85
D.86
Answer: A.65
Explanation: Total number of hands = 130
We have 2 hands.
To find how many students were at the class, divide the total number of hands by the number of hands we have.
We get, divide 130 by 2
130 ÷ 2 = 65
Therefore, there were 65 students at the class.
ANSWER IS A
Question: In how many ways can you sit 7 people on a bench if 3 of them must sit together?
A.720
B.2,160
C.2,400
D.4,320
Answer: A.720
Explanation: In such questions, always tie the person that have to sit together. So we have effectively 4+1=5 persons to arrange.
They can be arranged in 5! ways.
Now the 3 persons can themselves be arranged in 3! ways.
Total ways: 5!*3! = 720.
A is the answer.
Question: A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability E that the 2 apples selected will include the spoiled one?
A.a. 1/5
B.b. 3/10
C.c. 2/5
D.d. 1/2
Answer: C.c. 2/5
Explanation: there can be two ways in which one can select a spoiled apple and a good apple.
1. you pick the spoiled one first and the good one later..
Prob of picking bad one = 1/5 (one bad apple)
Prob of picking a good one from the remaining 4 good apples (4/4 =1)
therefore the total prob for case 1 = i/5 * 1 = 1/5
Total prob E= porb1 + prob2 = 1/5+1/5 = 2/5.C
Question: The side of a square is increased by 25% then how much % does its area increases?
A.56.28
B.56.25
C.56.2
D.56.24
Answer: B.56.25
Explanation: a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 % Answer:B
Question: Find the total no. of distinct bike no.'s that can beformed using 2 letters followed by 2 no.'s. How many letters need to be distinct?
A.59
B.89
C.94
D.100
Answer: D.100
Explanation: Out of 26 alphabets two distinct letters can be chosen in \inline {\color{Black}26P_2{}} ways. Coming to numbers part, there are 10 ways.(any number from 0 to 9 can be chosen) to choose the first digit and similarly another 10ways to choose the second digit. Hence there are totally 10X10 = 100 ways.
Combined with letters there are \inline {\color{Black}6P_2{}} X 100 ways = 65000 ways to choose vehicle numbers.
D
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
A.2/28
B.2/25
C.2/21
D.2/08
Answer: C.2/21
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = 3C2/15C2 = (3 * 2)/(15 * 14) = 1/35
Probability that both are yellow = 2C2/15C2 = (2 * 1)/(15 * 14) = 1/105
Probability that one blue and other is yellow = (3C1 * 2C1)/15C2 = (2 * 3 * 2)/(15 * 14) = 2/35
Required probability = 1/35 + 1/105 + 2/35
= 3/35 + 1/105 = 1/35(3 + 1/3)
= 10/(3 * 35) = 2/21
Answer:C
Question: Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?
A.3
B.5
C.6
D.8
Answer: C.6
Explanation: Let the cistern be filled by pipe A alone in x hours.
Then, pipe B will fill it in (x + 6) hours.
1/x + 1/(x + 6) = 1/4
x2 - 2x - 24 = 0
(x - 6)(x + 4) = 0 => x = 6.
Answer: C
Question: power windows: 60%
anti-lock brakes: 25%
CD player: 60%
The table above shows the number of vehicles at Bill's car dealership that have certain features. No vehicle has all three features, but 10% have power windows and anti-lock brakes, 15% have anti-lock brakes and a CD player, and 22% have power windows and a CD player. What percent of the vehicles at Bill's car dealership have a CD player but no power windows or anti-lock brakes?
A.23
B.18
C.11
D.3
Answer: A.23
Explanation: Answer:A
Were looking for the number of cars with a CD player but no other features. We know that 40% of the cars have a CD player, 15% have a CD player and anti-lock brakes, while 22% have a CD player and power windows. Since no car has all three features, those account for all of the possibilities except for what were looking for.
If a car has a CD player, it must either have anti-lock brakes, power windows, or no other features. Since the total of cars with a CD player is 60%, we can set up the following equation:
60=15+22+x
x=23, choiceA.
Question: A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 6 km in stationary water
A.40 min
B.1hr
C.1hr 15 min
D.1hr 30 min
Answer: D.1hr 30 min
Explanation: rate down stream=(1/10*60)km/hr=6km/hr
rate up stream=2km/hr
speed still water =1/2(6+2)=4km/hr
required time =(6/4)=1 1/4=1hr 30 min
Answer(D)
Question: The average age of 15 students of a class is 16 years. Out of these, the average age of 6 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
A.10years
B.11years
C.12years
D.13years
Answer: C.12years
Explanation: Age of the 15th student
=[15 * 16 - (14 * 6 + 16 * 9)]
= (240 - 228) = 12 years.
Answer:C
Question: If p is the product of the integers from 1 to 35, inclusive, what is the greatest integer k for which 3^k is a factor of p?
A.11
B.13
C.15
D.17
Answer: C.15
Explanation: 35! has 3, 6, 9,....30, 33 as factors, which are 11 multiples of 3.
We need to add 4 more to these 11 because of 9, 18, and 27.
The greatest integer of k is 15.
The answer is C.
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
A.22 1/8 kmph
B.24 3/2 kmph
C.22 1/2 kmph
D.22 1/5 kmph
Answer: C.22 1/2 kmph
Explanation: 100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 2 2 1/2 kmph
Answer:C
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
A.2 kmph
B.2 kmph
C.8 kmph
D.9 kmph
Answer: C.8 kmph
Explanation: Explanation:
S = 4
M = x
DS = x + 4
US = x - 4
6/(x + 4) + 6/(x - 4) = 2
x = 8
Answer: Option C
Question: A pipe can fill a cistern in 55 minutes. Find the time in which 1/11 part of the cistern will be filled?
A.5min
B.2min
C.3min
D.1min
Answer: A.5min
Explanation: Full cistern filled in = 55 minutes
1/11 part filled in = 55*1/11 = 5minutes
Answer is A
Question: Ravi, Ramu and Raja are three partners in business. If Ravi’s capital is equal to twice Ramu’s capital and Ramu’s capital is three times Raja’s capital, the ratio of the capitals of Ravi, Ramu, Raja is
A.2:1:3
B.1:2:6
C.6:3:1
D.1:3:6
Answer: C.6:3:1
Explanation: Explanation:
Let Raja’s capital be Rs. X. Then,
Ramu’s capital = Rs 3x and A’s capital = Rs. 6x
Ravi : Ramu : Raja = 6x : 3x : x = 6 : 3 : 1
Answer: Option C
Question: A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 3 games?
A.x + 3y/(n + 3)
B.x + y/(n + 3)
C.(x + 3y)/(n + 3)
D.(nx + 3y)/(n + 3)
Answer: D.(nx + 3y)/(n + 3)
Explanation: Total points in first n games = nx
Total marks in next 3 games is 3y
So, Average marks in n + 3 games = (nx+3y)/(n+3)
Hence, correct answer will be (D)
Question: Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
A.729
B.362
C.154
D.653
Answer: A.729
Explanation: The first ring can be worn in any of the 3 fingers (3 ways).
Similarly each of the remaining 5 rings also can be worn in 3 ways.
Hence total number of ways
=3×3×3×3×3×3=36=729
Ans: A
Question: 25 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
A.625
B.600
C.576
D.676
Answer: B.600
Explanation: we can go in any bus out of the 25 buses.
Hence He can go in 25 ways.
Since we can not come back in the same bus that he used for travelling,
we can return in 24 ways.
Total number of ways = 25 x 24 = 600
ANSWER:B
Question: if m^3 has 16 factors then m^4 will have how many factors ????? and m is not a prime no.
A.24
B.25
C.26
D.27
Answer: B.25
Explanation: 25 m^3 = (3+1)(3+1) = 16
then m^4 = (4+1)(4+1)=25
ANSWER:B
Question: The area of a triangle is with base 3m and height 6m?
A.88 m2
B.9 m2
C.66 m2
D.77 m2
Answer: B.9 m2
Explanation: 1/2 * 3 * 6 = 9 m2
Answer: B
Question: Find the number of zero's in the expression 1^1 * 2^2 * 3^3 * 4^4 * 5^5 * ……..10^10.
A.28
B.15
C.16
D.17
Answer: B.15
Explanation: To find the number of zero's we have to find the powers of 2's and 5's.
Powers of 2's = 2 + 4 + 6 + 8 + 10 = 26
But 4, 8 contains more 2's which are equal to 4 + 8 = 12
8 contains another eight 2's.
So total 2's = 46
Number of 5's = 5 + 10 = 15
So trailing zeroes = 15.
Answer:B
Question: If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction?
A.1/12
B.1/15
C.1/19
D.1/13
Answer: A.1/12
Explanation: X * (120/100)
---------------- = 2/15
Y * (75/100)
X/Y = 1/12
Answer: A
Question: How many words can be formed by using all the letters of the word “DAUGHTER” so that vowels always come together & vowels are never together?
A.5120
B.1240
C.4320
D.6512
Answer: C.4320
Explanation: Given word contains 8 different letters
When the vowels AUE are always together we may suppose
them to form an entity ,treated as one letter
then the letter to be arranged are DAHTR(AUE)
these 6 letters can be arranged in 6p6 = 6!
= 720 ways
The vowels in the group (AUE) may be arranged in 3! = 6 ways
Required number of words = 760 * 6 =4320
Ans: C
Question: 5 men or 8 women do equal amount of work in a day. a job requires 3 men and 5 women to finish the job in 10 days how many woman are required to finish the job in 14 days.
A.10
B.7
C.6
D.12
Answer: B.7
Explanation: 1 man can do the work of 8/5 = 1.6 women
equivalent of 3*1.6 + 5 = 9.8 women take 10 days
so women needed to do the work in 14 days
= [10/14]*9.8
= 7
ANSWER:B
Question: A meeting has to be conducted with 6 managers. Find the number of ways in which the managers be selected from among 10 managers, if 2 managers will not attend the meeting together?
A.120
B.110
C.105
D.140
Answer: D.140
Explanation: we can either choose all 6 people from 8 manager who have no problems or choose 5 from the 8 and 1 from the 2 managers who have a problem sitting together
so 8C6 + (8C5 * 2C1)
this is 28 + 112=140
Answer : D
Question: The first three terms of a proportion are 3, 9 and 12. The fourth term is?
A.22
B.28
C.27
D.36
Answer: D.36
Explanation: (9*12)/3 = 36
Answer:D
Question: 5000 voted in an election between two candidates.14% of the votes were invalid.The winner won by a margin approximately closer to 15%.Find the number of votes secured by the person
A.2128
B.2472
C.2689
D.26707
Answer: B.2472
Explanation: nvalid Votes = 14 % (5000) = 700
Valid Votes = 5000 - 700 = 4300 = R (say)
Assume the looser got 'L" votes and winner got "W" votes.
W - L = 15% (R)
W + L = R
Solving we get W = 57.5% and L = 42.5%
So Winner got 57.5%(4300) = 2472
Answer:B
Question: A store reduced the price of all items in the store by 10% on the first day and by another 14% on the second day. The price of items on the second day was what percent of the price before the first reduction took place?
A.80.0
B.80.9
C.77.4
D.81.1
Answer: C.77.4
Explanation: consider price of the all items as $100
after a initial reduction of 10% price becomes = 0.9 *100 = $ 90
after the final reduction of 14% price becomes = 0.86* 90 = $ 77.4
price of all items on second day is 77.4% of price on first day
correct answer option C
Question: A contractor undertook to do a certain piece of work in 6 days. He employed certain number of men, but 5 of them being absent from the very first day, the rest could finish the work in 10 days. The number of men originally employed were :
A.12
B.10
C.13
D.11
Answer: B.10
Explanation: Explanation :
Let there be x men at the beginning. Less men, More days (Indirect Proportion)
12 : 6 :: x : (x - 5) 12 (x - 5) = 6x <=> 6x = 60 x = 10
Answer : B
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 70%?
A.6
B.5
C.8
D.9
Answer: B.5
Explanation: We need on-time departure rate to be higher than 7/10, so it should be at least 8/11, which means that 8 out of 11 flights must depart on time. Since for now 3 out of 4 flights departed on time then 8-3=5 subsequent flights need to depart on-time.
Answer: B
Question: If 2x+y = 10, 2y+z = 20 and 2x+z = 30. Where x, y,and z are real number. What is the value of 2x ?
A.3/2
B.sqrt(15)
C.sqrt(6)/2
D.15
Answer: B.sqrt(15)
Explanation: Explanation :
Let, 2x = a, 2y = b and 2z = c
Then from the question:
2x+y = 2x * 2y = ab = 10
Similarly, bc = 20 , ac = 30
ab/bc = 1/2
=> a/c = 1/2
and ac = 30
(a/c)*ac = 1/2*30 = 15
a = sqrt(15)
Answer : B
Question: The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 4. If p is any prime number then f(p)=
A.p-1
B.p-2
C.(p+1)/2
D.(p-1)/2
Answer: C.(p+1)/2
Explanation: The confusing moment in this question is its wording. Basically question is: how many positive integers are less than given prime number p which has no common factor with p except 1.
Well as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).
If we consider p=7 how many numbers are less than 7 having no common factors with 7: 1, 2, 3, 4, 5, 6 --> 7-1=6.
Answer: C.
Question: At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 42 liters of forest green to change it to Verdant green?
A.14
B.12
C.15
D.11
Answer: A.14
Explanation: 42 liter of Forset green have 24 liter of blue and 18 liter of yellow
Suppose we add x liter of yellow to make it a verdant green so the ratio of blue to yellow in verdant green is ¾ so the equation is
Blue/yellow =24/(18+x) = ¾
54+3x=96 => x =14
Answer : A
Question: Insert the missing number
1, 2, 4, 8, 16, 32, 64, ..., 256
A.128
B.148
C.154
D.164
Answer: A.128
Explanation: The sequence is just like multiples of 2..
i.e., 1 = 1
1 * 2 = 2
2 * 2 = 4
4 * 2 = 8
8 * 2 = 16
8 * 2 = 32
32 * 2 = 64
64 * 2 = 128
128*2 = 256
ANSWER:A
Question: The slant height of a conical mountian is 2.5 km and the area of its base is 1.54 km². The height of the mountain is:
A.2.4 km
B.2.6 km
C.4.5 km
D.5.4 km
Answer: A.2.4 km
Explanation: Sol.
Let the radius of the base be r km. Then,
∏r² = 1.54 ⇒ r² = [1.54 * 7 / 22] = 0.49 ⇒ r = 0.7 km.
Now, l = 2.5 km, r = 0.7 km.
∴ h = √(2.5)² = (0.7)² km = √6.25 - 0.49 km
= √5.76 km = 2.4 km
Answer A