RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If x is a positive, single-digit integer such that 4/3*x, 2x, x, and x + 2, and 3x – 2 form a non-ordered list of consecutive integers, which of the following could be the median of that list?
A.3
B.4
C.5
D.6
Answer: C.5
Explanation: Soln:
Given that x is positive and single digit and based on 4/3*x being one of them,
Assume x as 3
this gives the list as 4, 6, 3, 5, 7
when ordered, 3,4,5,6,7
hence median is 5
Answer is C
Question: If a < b < c , which of the following must be true?
(I) a^2 < b^2
(II) b − a < c
(III) a^2 < b^2 < c^2
A.None
B.I only
C.II only
D.III only
Answer: A.None
Explanation: (I) a^2 < b^2. Not necessarily true fractions: try a=0.1 and b=0.2.
(II) b − a < c. Not necessarily true: try a=-1, b=0, and c=1.
(III) a^2 < b^2 < c^2. Not necessarily true: try a=-1, b=0, and c=1.
None of the options must be true.
Answer: A.
Question: A bag contains 23 purple jellybeans, 12 green jellybeans, and 15 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
A.15%
B.20%
C.24%
D.30%
Answer: C.24%
Explanation: p = 23 , g=12 , y=15
total = 50
p(green)=(12/50)*100 = 24% . Ans = C
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?
A.4.5 hrs
B.5 hrs
C.6.5 hrs
D.7.2 hrs
Answer: D.7.2 hrs
Explanation: Net part filled in 1 hour= 1/4 -1/9= 5/36
Therefore the cistern will be filled in 36/5 hours or 7.2 hours.
ANSWER:D
Question: A lady grows Cauliflower in her garden that is in the shape of a square. Each Cauliflower takes 1 square foot of area in her garden. This year, she has increased her output by 223 Cauliflower when compared to last year. The shape of the area used for growing the Cauliflower has remained a square in both these years. How many Cauliflowers did she produce this year?
A.12541
B.12542
C.12544
D.12545
Answer: C.12544
Explanation: Explanatory Answer
The shape of the area used for growing Cauliflower has remained a square in both the years.
Let the side of the square area used for growing Cauliflower this year be X ft.
Therefore, the area of the ground used for cultivation this year = X2 sq.ft.
Let the side of the square area used for growing Cauliflower last year be Y ft.
Therefore, the area of the ground used for cultivation last year = Y2 sq.ft.
As the number of Cauliflower grown has increased by 223, the area would have increased by 223 sq ft because each Cauliflower takes 1 sq ft space.
Hence, X2 - Y2 = 223
(X + Y)(X - Y) = 223.
223 is a prime number and hence it will have only two factors. i.e., 223 and 1.
Therefore, 223 can be expressed as product of 2 numbers in only way = 223* 1
i.e., (X + Y)(X - Y) = 223 * 1
So, (X + Y) should be 223 and (X - Y) should be 1.
Solving the two equations we get X = 112 and Y = 111.
Therefore, number of Cauliflower produced this year = X2 = 1122 = 12544.
Alternative Approach : Use answer choices
The area in both the years are squares of two numbers.
That rules out choice A,B and D. as 12541,12542 and 12545 are not the square of any number.
Check Choice C: If this year's produce is 12544, last year's produce would have been 12544 - 223 = 12321
12321 is the square of 111.
So, 12544 is the answer.
Choice C.
Question: If f and g are distinct prime numbers less than 10, which of the following cannot be the product of f and g?
A.6
B.9
C.10
D.14
Answer: B.9
Explanation: prime numbers less than 10 are 2, 3, 5, 7
all except 9 is product of any two numbers picked from above set.
Ans: B
Question: Each cell of a certain kind of bacteria produces two more cells. The life span of each cell is 10 minutes and each cell multiples only once in its life time, when it is exactly one minute old. If a new cell is placed in an empty box at time t = 0, then how many live cells will be there in the box just after t = 20 minutes?
A.2048 × 1023
B.1024 × 1023
C.(1024)²
D.1023 × 1025
Answer: B.1024 × 1023
Explanation: see total cells created after
1min be 2^1
2min be 2^2
3 min be 2^3.......
thus after 20 min 2^20 will be created
now after 10 min 1 cell will die (2^0)
after 11 min 2 cells die (2^1)
similarly after 20 min 2^10 cells die
thus total cells remained=(2^20)-(1024)
or (1024)^2-1024
or1024*(1024-1)
i.e, 1024*1023
ANSWER:B
Question: Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 6 km each. Then they turned left and ran for another 4.5 km.
What is the distance (in kilometers) between the the two twins when they stop?
A.12
B.15
C.18
D.21
Answer: B.15
Explanation: The distance between them is the hypotenuse of a right angle triangle with sides 9 km and 12 km.
hypotenuse = sqrt(9^2 + 12^2) = 15
The answer is B.
Question: In a certain alphabet, 13 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
A.3
B.8
C.14
D.20
Answer: A.3
Explanation: We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).
First we find the total # of letters with lines: 13 +24 = 37;
Next, we find the total # of letters without line: 40 - 37 = 3;
Finally, we find the # of letters that contain a dot but do not contain a straight line:3 - 0 = 3.
A
Question: 24 is divided into two parts such that 7 times the first part added to 5 times the second part gives 146. The first part is
A.11
B.13
C.16
D.17
Answer: B.13
Explanation: Explanation:
Let the first and second parts be a and 24 a, then
7a+5(24−a)=146
⇒7a+120−5a=146
⇒2a=26 or a = 13
Correct Option: B
Question: If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 6-letter code words to the number of 4-letter code words?
A.5 to 4
B.30 to 1
C.2 to 1
D.5 to 1
Answer: B.30 to 1
Explanation: Number of ways to form 6-letter code: 10!/4! = 10*9*8*7*6*5
Number of ways to form 4-letter code: 10!/6! = 10*9*8*7
Ratio: 30 to 1
Answer : B
Question: An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?
A.3729
B.2799
C.3720
D.2884
Answer: C.3720
Explanation: A = P(1 + TR/100)
=> 3600 = 3000[1 + (4 * R)/100] => R = 5%
Now R = 6%
=> A = 3000[1 + (4 * 6)/100] = Rs. 3720.
Answer:C
Question: Jaime earned enough money by selling seashells at 22 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold ?
A.5
B.11
C.17
D.25
Answer: A.5
Explanation: Let's TEST Answer A: 5 seashells...
With 5 seashells, Jamie would have 5(22) = 110 cents. This would allow him to buy 2 books for 110 cents total, so this is the correct answer.
A
Question: Which number is the odd one out ?
9654 4832 5945 7642 7963 8216 3646
A.3646
B.9654
C.5945
D.7963
Answer: A.3646
Explanation: The product of first two digits in a number equals the last two digits, except in 3646. Hence, it is the odd one.
The answer is 3646.
ANSWER:A
Question: Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8410/-. Find out the amount that he borrowed.
A.s. 5266
B.s. 5269
C.s. 5461
D.s. 5218
Answer: C.s. 5461
Explanation: Explanation:
Let us assume Mr. Karan borrowed amount is Rs. A. (the principal)
By formula of simple interest, S.I. = PRT / 100
Where P = The principal, R = Rate of interest as a %, T = Time in years
S.I. = (P * 6 * 9)/100 = 54 P/100
Amount = Principal + S.I.
8410 = P + (54P/100)
8410 = (100P + 54P)/100
8410 = 154P/100
P = (8410 * 100)/154 = Rs. 5461.039
ANSWER: C
Question: If 15648 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box?
Options:
8
A.12 books
B.6 books
C.24 books
D.18 books
Answer: B.6 books
Explanation: The number of books that can be placed in boxes of 9 books is the first number that is divisible by 9 that occurs before 15648.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 15648 =24 and 18 is divisible by 9.
Hence, we need to remove 6 to this number for it to be divisible by 9
Correct Option:B
Question: The simple interest at x% for x years will be Rs. x on a sum of:
A.x
B.x^2
C.100x
D.100x^2
Answer: C.100x
Explanation: Explanation :
P = ?
R = x%
Simple Interest,SI = x
T = x years
P=100× SI/RT=100 × x / x × x=100/x
Answer : Option C
Question: For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 7*+2 and 7*+7, inclusive ?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: Given that n* denotes the product of all the integers from 1 to n, inclusive so, 7* + 2 = 7! + 2 and 7* + 7 = 7! + 7.
Now, notice that we can factor out 2 our of 7! + 2 so it cannot be a prime number, we can factor out 3 our of 7! + 3 so it cannot be a prime number, we can factor out 4 our of 7! + 4 so it cannot be a prime number, ... The same way for all numbers between 7! + 2 and 7! +7, inclusive. Which means that there are no primes in this range.
Answer: A.
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 54?
A.3672
B.920
C.7290
D.6928
Answer: A.3672
Explanation: Explanation:
Let the side of the square plot be a ft.
a2 = 289 => a = 17
Length of the fence = Perimeter of the plot = 4a = 68 ft.
Cost of building the fence = 68 * 54 = Rs. 3672.
Answer: Option A
Question: If the time is currently 1:30 pm, what time will it be in exactly 646 hours?
A.11:30 am
B.12:30 pm
C.1:30 pm
D.2:30 pm
Answer: A.11:30 am
Explanation: 646 = 26(24) + 22/24
The time will be 22 hours later than 1:30 pm which is 11:30 am.
The answer is A.
Question: A train 250 m long passed a pole in 25 sec. How long will it take to pass a platform 650 m long?
A.90 sec
B.89 sec
C.54 sec
D.27 sec
Answer: A.90 sec
Explanation: Speed = 250/25 = 10 m/sec.
Required time = (250 + 650)/10
= 90 sec.
Answer: A
Question: A barrel full of beer has 2 taps one midway,,which draw a litre in 6 minutes and the other at the bottom,which draws a litre in 4 minutes. The lower tap is lower normally used after the level of beer in the barrel is lower than midway.The capacity of the barrel is 36 litres. A new assistant opens the lower tap when the barrel is full and draws out some beer. As a result the lower tap has been used 24 minutes before the usual time. For how long was the beer drawn out by the new assistant ?
A.15 minutes
B.16 minutes
C.17 minutes
D.18 minutes
Answer: B.16 minutes
Explanation: Sol. The top tab is operational till 18 litres is drawn out.
∴ Time after which the lower tap is usually open
= 18 × 6 = 108 minutes
∴ Time after which it is open now = 108 – 24 = 84 minutes
∴ Litres drawn = 84/6 = 14 litres
∴ 18 – 14 = 4 litres were drawn by the new assistant.
∴ Time = 4 × 4 = 16 minutes Answer B
Question: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 16 cm2. Find the lengths of all sides.
A.10 and 3
B.9 and 6
C.10 and 7
D.3 and 10
Answer: B.9 and 6
Explanation: Let x be the length of the longer side x>3, then the other side's length is x−3 cm. Then the area is S1 = x(x - 3) cm2. After we increase the lengths of the sides they will become (x+1) and (x−3+1)=(x−2) cm long. Hence the area of the new rectangle will be A2=(x+1)⋅(x−2) cm2, which is 16 cm2 more than the first area. Therefore
A1+16=A2
x(x−3)+16=(x+1)(x−2)
x2−3x+16=x2+x−2x−2
2x=18
x=9. So, the sides of the rectangle are 9 cm and (9−3)=6 cm long.
So answer is B.
Question: Jim drove 768 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
A.432 miles
B.532 miles
C.632 miles
D.732 miles
Answer: A.432 miles
Explanation: The number of miles to drive to finish his journey is given by
1200 - 768 = 432 miles
correct answer A
Question: The value of 2*x+x/4+ x(xx) when x = 4 is:
A.57
B.63
C.75
D.73
Answer: D.73
Explanation: 2*x+x/4+ x(xx)
2*4+4/4+4(4*4)
2*4+4/4+4(16)
2*4+4/4+64
2*4+1+64
8+1+64=73
answer D
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
A.165 m
B.886 m
C.245 m
D.286 m
Answer: C.245 m
Explanation: Speed = 45 * 5/18
= 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 + x)/30
= 25/2
x = 245 m.
Answer: C
Question: The ratio of red boxes to blue boxes in a certain warehouse is 5 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?
A.60
B.74
C.111
D.148
Answer: A.60
Explanation: Ratio = R/B = 5/25 or R = 5/25 B -----------(1)
2R/B+150 = 5/25*1/2 = 1/10 or we can say that 20R=B+150 -------------(2)
solving (1) and (2) we get
B=50 and R =10
so total boxes is B + R = 50+10=60
Hence A. 60 is the correct answer
Question: There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts R needed to confirm that each of the 5 keys matches each of the 5 locks?
A.5,15
B.4,15
C.5,10
D.4,10
Answer: D.4,10
Explanation: Assume you have locks 1-5 and keys A-E.
Minimum: assume you are lucky to find the correct key/combo on the first try. So, 1 -> A, 2 -> B, 3 ->C, and 4 -> D, then 5 must match with E. Therefore, you only need to try 4 combos at a minimum.
Maximum: assume that it takes as many guesses as possible. So, with the first key you try A, B, C, and D with no success, therefore E must be the match (so 4 attempts). For key 2 you no longer have E available so you try A, B, and C, with no success, therefore D must be the match (3 attempts). And so on for key 3 (2 attempts) and key 4 (1 attempt). Key 5 matches with the remaining lock for a total of R=4 + 3 + 2 + 1 = 10 attempts.D
Question: A train 100 m in length crosses a telegraph post in 12 seconds. The speed of the train is?
A.16 kmph
B.30 kmph
C.54 kmph
D.18 kmph
Answer: B.30 kmph
Explanation: S = 100/12 * 18/5
= 30 kmph
Answer: B
Question: a,b and c are positive integers less than or equal to 9. If a,b and c are assembled into the six-digit number abcabc, which of the following must be a factor of abcabc?
A.7
B.9
C.11
D.3
Answer: C.11
Explanation: The sum of the digits in place 1,3 and 5 is a+c+b is equal to the sum of the digits in place 2,4 and 6 which is b+a+c. thus the number abcabc is divisible by 11. thus 11 must be a factor of abcabc.
Answer: C
Question: If p and q are positive integers each greater than 1, and 17(p+1)=20(q+1), what is the least possible value of p+q?
A.35
B.42
C.44
D.46
Answer: A.35
Explanation: 17(p+1)=29(q+1) --> (p+1)/(q+1) = 20/17 --> the least positive value of p+1 is 20, so the least value of p is 19 and the least positive value of q+1 is 17, so the least value of q is 16 --> the least value of p+q is 19+16=35.
Answer: A
Question: Stacy has a 81 page history paper due in 3 days. How many pages per day would she have to write to finish on time?
A.9
B.27
C.10
D.8.5
Answer: B.27
Explanation: 81/3=27
Answer : B
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
A.19828.77
B.19828.8
C.19828.82
D.19888.82
Answer: B.19828.8
Explanation: Let the sum be Rs.P
P{ [ 1 + 8/100]2 - 1 } = 2828.80
P(8/100)(2 + 8/100) = 2828.80 [a2 - b2 = (a - b) ( a + b)] P = 2828.80 / (0.08)(2.08) = 1360/0.08 = 17000 Principal + Interest = Rs. 19828.80
Answer: B
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
A.399
B.272
C.666
D.277
Answer: C.666
Explanation: Answer: Option C
Explanation:
a2 = 3136 => a = 56
56 * 4 * 3 = 672 â€“ 6 = 666 * 1 = 666 Answer: C
Question: How many 4-digit positive integers are there, where each digit is positive, and no 3 adjacent digits are same?
A.1236
B.3528
C.4096
D.4608
Answer: B.3528
Explanation: First digit.. 9 posibilities
Second digit, 8 possibilities
third digit, 7 possibilities
Fourth digit, 7 possibilities.
9*8*7*7 = 3528.
B
Question: The probability of a team winning a match given Matt is playing the match is 0.70. The probability of the team winning a match given Matt is not playing the match is 0.3. The probability of Matt playing any match is 0.7.
If it is known that the team has won the last match, what is the probability that Matt played the match?
A.A)0.844
B.B)0.7
C.C)0.8571
D.D)0.7531
Answer: A.A)0.844
Explanation: Out of 100 matches:
Matt is plays in 70 and not plays in 30.
Out of 70 matches Matt plays in, team wins 0.70*70 = 49.
Out of 30 matches Matt does not play in, team wins 0.3*30 = 9.
So, out of 100 matches 49 + 9 = 58 are won.
It is known that the team has won the last match. Out of 58 matches won, Matt is in 49: 49/58 = 0.844...
Answer: A.
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
A.12
B.51
C.21
D.24
Answer: D.24
Explanation: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 4 ways. The second in 3 ways and the third in 2 ways. But fundamental principle, (4 x 3 x 2) ways = 24 ways
4: Or 4p = — 4:- 4X3X2X1- 24 ways
D
Question: Murali travelled from city A to city B at a speed of 70 kmph and from city B to city C at 30 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
A.kmph
B.kmph
C.kmph
D.kmph
Answer: B.kmph
Explanation: Let the distances between city A to B and B to C be 2x km and 3x km respectively.
Total time taken to cover from A to C
= (2x)/70 + (3x)/30
= (6x + 21x)/210 = 27x/210
= x/10 Average speed
= (2x + 3x)/(27x/210) = 38.9 kmph.
Answer: B
Question: A jet plane is rising vertically with a velocity of 10 m/s. It has reached a certain height when the pilot drops a coin, which takes 4 sec to hit the ground. Assuming that there is no resistance to the motion of the coin, the height of the place and the velocity of the coin on impact with the ground are:
A.38.4 m, 28.7 m/s
B.38.4 m, 29.2 m/s
C.26.5 m, 13.5 m/s
D.26.5 m, 28.7 m/s
Answer: B.38.4 m, 29.2 m/s
Explanation: The coin will move up with the initial velocity of 10 m/s till it comes to rest. Time taken is given by:
0=10âˆ’9.8t
â‡’t=10/9.8 sec.
Time taken to reach the ground from the highest point:
=4âˆ’10/9.8
=29.2/9.8 sec
Velocity of coin on impact
=0+9.8Ã—(29.2/9.8)
=29.2 m/s
If 'h' is the height from which the coin dropped.
Then
29.2^2âˆ’10^2=2Ã—9.8Ã—h
â‡’h = 38.4 m
Answer : B
Question: A man visits a shopping mall almost every day and he walks up an up-going escalator that connects the ground and the first floor. If he walks up the escalator step by step it takes him 16 steps to reach the first floor. One day he doubles his stride length (walks up climbing two steps at a time) and it takes him 12 steps to reach the first floor.
A.15
B.16
C.47
D.48
Answer: D.48
Explanation: Let d be the distance traveled, which remains same in both the cases. if v is the speed of the man and x is the speed of elevator, in case 1 the number of steps taken is
d/v+x=16
In case 2 it is
d/2v+x=12
because now he is traveling at double the speed; eliminating d, we get x=2v; therefore d=48v; when stationery x=0, we get no. of steps as 48v/v=48.
ANSWER:D
Question: The product of two numbers is 168 and the sum of these two numbers is 26. What is the largest of these two numbers?
A.12
B.14
C.16
D.18
Answer: B.14
Explanation: Explanation:
Let the numbers be x and (26 – x) .
Therefore,
x (26 – x) = 168
x2 – 26x + 168 = 0
(x – 14) (x – 12) = 0
x = 14 or x = 12
So, the numbers are 14 and 12.
ANSWER: B
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
A.288
B.266
C.155
D.100
Answer: D.100
Explanation: A can give B (5 min - 4 1/2 min) = 30 sec start.
The distance covered by B in 5 min = 1000 m.
Distance covered in 30 sec = (1000 * 30)/300 = 100 m.
A can give B 100m start.
Answer:D
Question: The value of X+3X(5X)(X)when X =2 is:
A.132
B.120
C.122
D.108
Answer: C.122
Explanation: Solution:
X+3X(5X)(X)
Put the value of X= 2 in the above expression we get,
2+ 6(2 x 5)(2)
= 2+ 6(10)(2)
= 2 + 120
=122
Answer :C
Question: Who is second to the right of H?
A.67
B.88
C.166
D.19
Answer: B.88
Explanation: Answer: Option B
Question: The banker's discount on Rs.1800 at 8% per annum is equal to the true discount on Rs.1872 for the same time at the same rate. Find the time?
A.3 months
B.4 months
C.5 months
D.6 months
Answer: D.6 months
Explanation: Solution
S.I on Rs.1800 = T.D on Rs.1872.
P.W on Rs.1872 is Rs.1800.
Rs.72 is S.I on Rs. 1800 at 8%.
Time	=(100x72 / 8x1800)
= 1/2 year
= 6 months.
Answer D
Question: If p+5/q is a prime integer, which of the following must be true?
1.q=5p
2.q is a prime integer
3. p+5/q is ODD.
A.None
B.1 only
C.2 only
D.1 and 2 only
Answer: A.None
Explanation: I would pick up numbers and do .
i hope the question is (p+5)/q....
let p = 3 , q = 4
3+5/4 = 2 = Prime
1. q is not equal to 5p
2.q is not a prime number
3. (p+5)/q is not odd.
hence A
Question: A train speeds past a pole in 15 sec and a platform 120 m long in 25 sec, its length is?
A.50 m
B.180 m
C.200 m
D.300 m
Answer: B.180 m
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 120)/25 = x/15 => x = 180 m.
ANSWER:B
Question: The mean of 50 observations was 41. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
A.35.2
B.36.1
C.36.5
D.41.5
Answer: D.41.5
Explanation: Sol.
Therefore correct sum
= ( 41 × 50 + 48 – 23)
= 2075.
Therefore correct mean
= 2075 / 50
= 41.5.
Answer D
Question: A letter lock consists of three rings each marked with five different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
A.176
B.124
C.215
D.197
Answer: B.124
Explanation: Since each ring consists of five different letters, the total number of attempts possible with the three rings is
= 5 * 5*5 = 125. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts
= 125 - 1 = 124.
Answer: B
Question: A student gets 70% in one subject, 80% in the other. To get an overall of 75% how much should get in third subject.
A.75%
B.25%
C.45%
D.55%
Answer: A.75%
Explanation: A student gets 70% in one subject, 80% in the other.
Average of 2 subjects is 75% , if they have equal weightage.
To get an overall of 75% , he should get 75 % in third subject to maintain same % age..if they have equal weightage.
ANSWER:A
Question: A clothing store sells t-shirts arranged on display such that each of the five different colors of t-shirts, orange, green, red, blue, and purple are consecutive in a repeating pattern. If six consecutively displayed t-shirts are purchased, what is the probability that two of the t-shirts are purple?
A.2/5
B.1/25
C.1/5
D.3/4
Answer: C.1/5
Explanation: After orange, green, red, blue, and purple, the next t-shirt can be of any given five colours, therefore we have total five possibilites, out of which we need purple i.e. 1 therefore prob is 1/5. Correct answer is C.
Question: The price of a certain car this year is $18,000, which is 25 percent greater than the cost of the car last year. What was the price of the car last year?
A.$14,000
B.$14,200
C.$14,400
D.$14,600
Answer: C.$14,400
Explanation: The price of the car last year was $18,000/1.25=$14,400
The answer is C.