RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: How many multiples of 4 are there between 1 and 100, inclusive?
A.25
B.22
C.23
D.30
Answer: A.25
Explanation: 25
multiples of 4 between 1 and 100 inclusive.
from 4 * 1 upto 4 *25, (1,2,3,4,...,25). Hence, 25 multiples !
correct option is A
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
A.3/41
B.2/45
C.9/42
D.5/46
Answer: C.9/42
Explanation: The probability that first toy shows the even number,
=1021=1021
Since, the toy is not replaced there are now 9 even numbered toys and total 20 toys left.
Hence, probability that second toy shows the even number,
=920=920
Required probability,
=(1021)×(920)=(1021)×(920)
=9/42
C
Question: 3,7,12,18,25..............9th terms
A.43
B.53
C.63
D.65
Answer: C.63
Explanation: 3+4=7
7+5=12
12+6=18
18+7=25
25+8=33
33+9=42
42+10=52
52+11=63
ANSWER:C
Question: A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 39 years and that of the grandchildren is 6 years. What is the average age of the family?
A.28 4â„7 years
B.31 5â„7 years
C.32 6â„7 years
D.27 1â„2 years
Answer: C.32 6â„7 years
Explanation: Required average = (67Ã—2+39Ã—2+6Ã—3/2+2+3)
=230/7
= 32 6â„7 years
Answer C
Question: 66 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
A.44 m
B.84 m.
C.89 m
D.83 m
Answer: B.84 m.
Explanation: Let the length of the wire be h.
Radius =1/2 mm=	1/20	cm.	Then,
= 22/7 x	1/20	x 1/20 x h = 66.
h =	66 x 20 x 20 x 7/22	= 8400 cm = 84 m.
Answer: B
Question: Two vessels contains equal number of mixtures milk and water in the ratio 3:2 and 4:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
A.1:3
B.9:13
C.5:11
D.7:3
Answer: D.7:3
Explanation: The ratio of milk and water in the new vessel is = (3/5 + 4/5) : (2/5 + 1/5)
= 7/5 : 3/5 = 7:3
Answer is D
Question: If x/y = 8/7, Then (7x + 6y) / (7x â€“ 6y) = ?
A.11
B.8
C.9
D.7
Answer: D.7
Explanation: Answer
Dividing numerator as well as denominator by y, we get
Given Exp. = (7x + 6y) / (7x â€“ 6y) = (7x/y + 6) / (7x/y â€“ 6)
Since x/y = 8/7
this implies that
=[(7*8)/7 +6]/[(7*8)/7 -6)]
= (8 + 6) / (8 - 6)
= 7
Option: D
Question: An employer pays Rs.20 for each day a worker works and for feits Rs.3 for each day is ideal at the end of sixty days a worker gets Rs.280 . for how many days did the worker remain ideal?
A.20
B.30
C.40
D.50
Answer: C.40
Explanation: if he work for 20 days then he get =20*20=Rs.400
and left 40 days he will not work so for this employer feits Rs.120
now total earning of a worker =400-120=280
40 days he will be ideal
ANSWER:C
Question: In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
A.423
B.456
C.264
D.200
Answer: D.200
Explanation: (3 men out 6) and (2 ladies out of 5) are to be chosen.
Required number of ways = (6c3x5c2)
= [6x5x4/3x2x1] x [5x4/2x1]
= 200.
Ans: D
Question: The product of x and y is a constant. If the value of x is increased by 20%, by what percentage must the value of y be decreased?
A.16.66%
B.33.33%
C.44.44%
D.55.55%
Answer: A.16.66%
Explanation: x*y = constt.
Let x = y = 100 in beginning
i.e. x*y = 100*100 = 10000
x (100) ---becomes---> 1.2x (120)
i.e. 120*New 'y' = 10000
i.e. New 'y' = 10000/120 = 83.33
i.e. y decreases from 100 to 83.33 i.e. Decrease of 16.66%
Answer: option A
Question: If there are 200 questions in a 3 hr examination. Among these questions are 50 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
A.72 min
B.62 min
C.70 min
D.74 min
Answer: A.72 min
Explanation: x=time for type B prolems
2x=time for type A problem
total time=3hrs=180min
150x+50*2x=180
x=180/250
x=0.72
time taken for type A problem=50*2*0.72=72min
ANSWER:A
Question: Lily shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?
A.0.8
B.0.75
C.c) 8/9
D.5/7
Answer: D.5/7
Explanation: The approach of plugging in the numbers is a fine approach. But, in this case, the answer was the first option and thus, by plugging in a number in the ration given, we arrived at the answer quickly!
However, what if the correct ratio was option D or C?
In any case, the algebraic solution isn't that complex if you realize a key concept:
The number 7 can be factored out of the second equation!
Here's the working: Lily shop runs a sale on goldfish and platys.
13x + 12y = 5.60 <<<<< Equation 1
14x + 21y = 8.05 <<<<< Equation 2
2x + 3y = 1.15 [Factor Out 7 from equation 2] <<<<< Equation 3
8x + 12y = 4.6 [Multiply Equation 3 with 4]
5x = 1.0 [Equation 1 - Equation 2]
x = 0.2
3y = 1.15 - 0.4 = 0.75 [Substitute for x in Equation 1]
y = 0.25
x/y = 0.2/0.25 = 20/25 = 4/5 = 0.8 [Answer A]
The whole thing must have taken me about 45 s :D
Question: The weight of a glass of jar is 15% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
A.1/5
B.1/3
C.2/5
D.9/17
Answer: D.9/17
Explanation: Let weight of jar filled with beans = 100 g
Weight of jar = 15 g
Weight of coffee beans = 85 g
Weight of jar and remaining beans = 60 g
Weight of remaining beans = 45 g
Fraction remaining = 45/85 = 9/17
Answer is D.
Question: 3*12+3*13+3*16+11 = ?
A.122
B.126
C.134
D.148
Answer: C.134
Explanation: 3*12+3*13+3*16+11 = 36 + 39 + 48 + 11 = 134
The answer is C.
Question: A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 8000.
A.Rs. 2500
B.Rs. 8500
C.Rs. 7200
D.Rs. 8000
Answer: A.Rs. 2500
Explanation: Explanation:
A = 2B and B = 5C
=> A : B = 2 :1and B : C = 5 : 1
=> A : B : C = 10 : 5 : 1
Ratio of capitals of A, B and C = 10 : 5 : 1
B's share = Rs.[(5/16) × 8000] = Rs. 2500
Answer: Option A
Question: A batsman scored 130 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
A.53.85%
B.40%
C.60%
D.70%
Answer: A.53.85%
Explanation: Number of runs made by running = 130 - (3 x 4 + 8 x 6)
= 130 - (60)
= 70
Now, we need to calculate 70 is what percent of 130.
=> 70/130 x 100 = 53.85 %
ANSWER:A
Question: Mary works in a restaurant a maximum of 70 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?
A.600
B.620
C.660
D.320
Answer: C.660
Explanation: Mary receives $8(20)=$160 for the first 20 hours.
For the 50 overtime hours, she receives $8(0.25) +$8 = $10 per hour, that is $50(20)=$500.
The total amount is $160+$500 = $660
Answer C 660.
Question: IN Common Wealth Games an athlete runs 200 meters in 36 seconds. Hisspeed is ?
A.25 km/hr
B.27 km/hr
C.30 km/hr
D.20 km/hr
Answer: D.20 km/hr
Explanation: Explanation :
(200/1000)/(36/3600)=20 km/hr
Answer : D
Question: A train passes a platform in 25 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
A.75
B.25
C.26
D.23
Answer: A.75
Explanation: Speed of the train = 54 km/hr = (54×10)/36 m/s = 15 m/s
Length of the train = speed × time taken to cross the man = 15×20 = 300 m
Let the length of the platform = L
Time taken to cross the platform = (300+L)/15
=> (300+L)/15 = 20
=> 300+L = 15×25 = 375
=> L = 375-300 = 75 meter
Answer is A.
Question: Calculate the percentage increase in the area of a square if each of its sides is increased by 15%?
A.32.25%
B.39.25%
C.36.25%
D.35.25%
Answer: A.32.25%
Explanation: Assume original length = 100m by 50m
original area = 100*50= 5000
15% increase on each side
l = 100 + 15 = 115
w = 50 + 7.5 = 57.5
new area = 115*57.5= 6612.5
increase in area = 6612.5 - 5000 = 1612.5
%increase =21%
Answer A
Question: Laura has a deck of standard playing cards with 12 of the 60 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?
A.1/4
B.1/5
C.5/26
D.12/42
Answer: B.1/5
Explanation: No replacement there, 10 cards are dealt and we are asked to find the probability that 10th card is a heart.
If there is no replacement then how is the (P) that the 10th card is 12/60 ??
there are many cases here to be considered here if there is no replacement such as:
H- Denotes heart X-may be any diamond, spade or club.
1. HXXXXXXXXH
2. HHXXXXXXXH
3. HHHXXXXXXH
.
.
.
.
.
9. HHHHHHHHHH
10. XXXXXXXXXH
All cases from 1 to 10 will have different probabilities for heart to be at the 10th place and it will take hell lot of time to calculate all of them.
For according to me the above solution by Ian is only valid if cards are replaced (Every card has a 12/60 = 1/6 chance of being a heart; it doesn't matter if it's the top card in the deck or the tenth card in the deck.)If that's the case that brings back me to my original question ----how do we determine that the cards are replaced or not?? based on the question given ....
B
Question: How many pieces of 8.6 metres length cloth can be
cut out of a length of 455.8 metres cloth?
A.43
B.48
C.55
D.53
Answer: D.53
Explanation: Number of pieces =455.8 /8.6 = 53
Answer D
Question: In store A there are 30 pairs of pants for every 60 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
A.3:16.
B.2:3.
C.1:3.
D.3:4.
Answer: B.2:3.
Explanation: 1st statement : ratio of pants
Store A : Store B
30x : 60x
X:2X
Price :
4y:3y
Total revenue
4xy : 6xy
2:3
Answer is B
Question: how many four digits numbers are formed such that the digits are in decreasing order
A.210
B.220
C.230
D.240
Answer: A.210
Explanation: START with 3 = 3_ _ _. You can fill in with digits 0,1,2. Hence 3C3 = 1
START with 4 = 4_ _ _. (0,1,2,3). hence 4C3= 4
START with 5, you have (0,1,2,3,4) to fill in the blanks behind 5, hence 5C3 = 10
START with 6, 6C3=20
7... = 7C3 = 35
8...=8C3 = 56
9...= 9C3 = 84
so ans=1+4+10+20+35+56+84=210
ANSWER:A
Question: A certain company’s profit in 1996 was 10 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995?
A.5%
B.18%
C.32%
D.35%
Answer: C.32%
Explanation: Profit in 1995 - 100
Profit in 1996 - 110
%increae Profit in 1997 in comparison to 1995 = 10 + 110*20%= 32
Correct Option : C
Question: Best friends Sprite and Icey have are playing a game of marbles. They invite 1 of their friends to play with them. There are 36 marbles in the bag. If all 3 people are playing, how many marbles does each person get?
A.3
B.12
C.5
D.6
Answer: B.12
Explanation: Answer= B
36 / 3 = 12
Answer= B
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 50, the runs scored by B are?
A. 15 B. 18
A.12
B.18
C.99
D.77
Answer: A.12
Explanation: A:B = 2:3
B:C = 2:5
A:B:C = 4:6:15
6/25 * 50 = 12
Answer: A
Question: For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/17
A.a) 12
B.b) 6
C.c) 10
D.d) 17
Answer: D.d) 17
Explanation: It seems that the accepted answer is wrong, according to WolframAlpha. The answer should be 27, which isn't even listed as a selectable answer.
D
Question: Find the largest 4 digit number which isexactly divisible by 88?
A.3454
B.4586
C.9944
D.10564
Answer: C.9944
Explanation: Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
C
Question: After 6 games, team B had an average of 75 points per game. If it got only 47 points in game 7, how many more points does it need to score to get its total above 500?
A.5
B.4
C.7
D.3
Answer: D.3
Explanation: (6*75) + 47 +x >500
450+47+x > 500
497+x >500
=> x>3
Option D
Question: If the area of a circle is 81pi square feet, find its circumference.
A.8
B.28
C.18
D.48
Answer: C.18
Explanation: The area is given by pi × r × r. Hence
pi × r × r = 81 pi
r × r = 81 ; hence r = 81 feet
The circumference is given by
2 × pi × r = 2 × pi × 9 = 18 pi feet
correct answer C
Question: The average age 7 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
A.14 years
B.17 years
C.18 years
D.12 years
Answer: A.14 years
Explanation: 7 * 2
= 14
Answer:A
Question: If n = 2cd, where c and d are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
A. Two
B. Three
C. Four
D. Six
Answer: C. Four
Explanation: Answer - 'C' - Four.
For a number 2cd with primes cd,there will be four even divisors - 2,2*c,2*d,2*c*d
Question: Mike needs 30% to pass. If he scored 212 marks and falls short by 13 marks, what was the maximum marks he could have got?
A.343
B.377
C.750
D.367
Answer: C.750
Explanation: If Mike had scored 13 marks more, he could have scored 30%
Therefore, Mike required 212 + 13 = 225 marks
Let the maximum marks be m.
Then 30 % of m = 225
(30/100) × m = 225
m = (225 × 100)/30
m = 22500/30
m = 750
Answer:C
Question: What is the lowest possible common multiple M of 2 distinct integers, each greater than 329?
A.330·331
B.330^2
C.33·331
D.660
Answer: D.660
Explanation: Lowest possible common multiple M of 2 distinct integers will have to be multiple of the number greater than 329...which 330..
so one number will be 330...another one will be 660..
Ans is D.
Question: A cubical block of metal weighs 5 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
A.48
B.40
C.24
D.18
Answer: B.40
Explanation: For example our cube have a side 1 meter, so we have 1 cubical meter in this cube
and this cubical meter weigth 5 pounds
If we take cube with side 2 meters we will have 8 cubical meters in this cube
8 meters * 5 pounds = 40 pounds
So answer is B
And similar but more theoretical approach:
if we have sides a and b than they have equal ration with their areas:
a/b = a^2/b^2
and they have equal ration with their volumes:
a/b = a^3/b^3
we have two sides 1/2 so their volume will be in ratio 1/8
weight of one cube * volume of another cube
5 * 8 = 40
So answer is B
Question: Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 20 laps around the track per hour and Nick completes 10 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?
A.5
B.8
C.24
D.15
Answer: C.24
Explanation: Maria's rate - 20 laps per hour --> 20/60 laps/min
Nick's rate - 10 laps per hour --> 10/60 laps/min
lets set equations:
20/60*t=4 (since Maria had to run 4 laps before Nick would start)
10/60*t=0 (Hick has just started and hasn't run any lap yet)
(20/60-10/60)*t=4-0 (since Nick was chasing Maria)
t=24 min needed Maria to run 4 laps
Answer : C
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
A.200 m
B.225 m
C.245 m
D.250 m
Answer: C.245 m
Explanation: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.
ANSWER:C
Question: What will come in place of (a) in the following expression?
a - 796.21 + 498.05 = 215.50 – 425.01
A.88.65
B.88.6
C.88.67
D.83.65
Answer: A.88.65
Explanation: Explanation:
a - 796.21 + 498.05 = 215.50 - 425.01
a = 88.65
ANSWER: A
Question: There are 30 socks in a drawer. 60% of the socks are red and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least two socks of the same colour have been chosen?
A.2
B.3
C.14
D.16
Answer: B.3
Explanation: 60% of 30 = 18.
So, there are 18 red socks and there are 12 blue socks.
Check out this possible cases once we have selected TWO socks:
case a: 2 red socks, in which case we have a pair of matching socks. DONE!
case b: 2 blue socks, in which case we have a pair of matching socks. DONE!
case c: 1 red sock and 1 blue sock. No matching socks, so we're not done yet.
Since the first 2 cases result in a pair of matching socks, let's focus on case 3 and what happens when we select a 3rd sock.
If we have 1 red sock and 1 blue sock, then the next sock we select will EITHER match the red sock OR match the blue sock.
In both cases, we are guaranteed to have a pair of matching socks.
So, selecting 3 socks guarantees that we have a pair of matching socks.
ANSWER:B
Question: The simple form of the ratio 4/3:4/5 is?
A.10:6
B.10:3
C.15:3
D.5:3
Answer: D.5:3
Explanation: 4/3 : 4/5 = 20:12 = 5:3
ANSWER:D
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 40 kilometers, Maxwell's walking speed is 3 km/h, and Brad's running speed is 5 km/h. What is the distance traveled by Maxwell when they meet in the middle?
A.16
B.17
C.18
D.15
Answer: D.15
Explanation: Consider Max starts from Point A and Brad Starts from Point B and move towards each other.
Assume they shall meet at point O after Time 'T'. The question asks us to find OA.
From the question stem we can make out :- Distance OA = 50km - Distance OB
=> 3xT = 40 - 5xT (i.e distance =Speed x Time)
=> 8T = 40
Hence T = 5
OA = 3 x 5 = 15 Km
Answer : D
Question: the average of four consecutive even numbers is 27. find the largest of thesenumbers?
A.24
B.26
C.28
D.30
Answer: D.30
Explanation: let the numbers be x,x+2,x+4 andx+6. then,
(x+(x+2)+(x+4)+(x+6))/4) = 27
(4x+12)/4 = 27
x+3=27  x=24.
Therefore the largest number=(x+6)=24+6=30.
ANSWER D 30
Question: There are 200 female managers in a certain company. Find the total number of female employees Q in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
A.Q=300
B.Q=400
C.Q=500
D.Q=600
Answer: C.Q=500
Explanation: {Managers} = {Female Managers} + {Male Managers};
We are told that the total number of managers in the company is 2/5 of all the employees , thus{Managers} = 2/5 (M + F), where M and F are number of female and male employees, respectively.
Also, we know that 2/5 of all male employees are managers:{Male Managers} = 2/5 * Mas well as there are total of 200 female managers:{Female Managers} = 200;
Thus:2/5 (M + F) = 200 + 2/5 * M-->F = 500.
Answer: C.
Question: The first half of a 500-mile trip was travelled in x hours and the second half in y hours. Which of the following is equal	to the average speed, in miles per hour, for the entire trip?
A.250/(x + y)
B.500/(x + y)
C.50/x + 50/y
D.250/x + 250/y
Answer: B.500/(x + y)
Explanation: Time taken to cover first half i.e 250 miles of a 500 mile trip = x
time taken to cover the second half i.e 250 miles of a 500 mile trip = y
Total time taken = x+y
Average speed for the entire trip =total distance /total time
=500/(x+y)
Answer B
Question: A train 440 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A.72 sec
B.24 sec
C.44 sec
D.62 sec
Answer: B.24 sec
Explanation: Speed of train relative to man
= (60 + 6) km/hr
= 66 km/hr
[66 * 5/18] m/sec
= [55/3] m/sec.
Time taken to pass the man
= [440 * 3/55] sec
= 8 sec
Answer:B
Question: In a game of billiards, A can give B 10 points in 30 and he can give C 15 points in 30. How many points can B give C in a game of 50?
A.12.5
B.25
C.20
D.22
Answer: A.12.5
Explanation: A scores 30 while B score 20 and C scores 15
The number of points that C scores when B scores 50 = (50 * 15)/20 = 37.5
In a game of 50 points, B gives (50 - 37.5) = 12.5 points to C
Answer : A
Question: Which of the following numbers completes
the sequence 8, 14, 21, 29, 38___?
A.35
B.36
C.37
D.48
Answer: D.48
Explanation: The numbers increase at a somewhat steady rate, so you have to figure out how much
you have to add to each number to produce the next in the sequence: 8 + 6 = 14;
14 + 7 = 21; 21 + 8 = 29, 29 + 9 = 38 and so on. The rule for the sequence is to add successively larger
numbers to each number; therefore, the next number is 38 + 10 = 48
correct answer D)48
Question: If A=x^3 y^2 and B=xy^3, then find the HCF of A, B
A.x*y^3
B.x*y^1
C.x*y^2
D.x*y^4
Answer: C.x*y^2
Explanation: A=x^3*y^2
=x*x*x*y*y
B=x*y^3
=x*y*y*y
HCF=comman terms from both A & B
=x*y*y
=x*y^2
ANSWER:C
Question: The perimeter of a semi circle is 144 cm then the radius is?
A.87
B.28 cm
C.26
D.27
Answer: B.28 cm
Explanation: 36/7
r = 144
=> r = 28
Answer: B
Question: A 30% loss on cost price is what percent loss on selling price?
A.30%
B.20%
C.15%
D.25%
Answer: D.25%
Explanation: Let CP = 100 ; SP=70
Loss= 30/70 × 100 = 42.85%
Answer: D
Question: In a certain supermarket, a triangular display of cans is arranged in 10 rows, numbered 1 through 10 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 150 cans in the entire display, how many cans are in the sixth row?
A.14
B.16
C.18
D.20
Answer: B.16
Explanation: Let x be the number of cans in row 1.
The total number of cans is x + (x+3) + ... + (x+27) =
10x + 3(1+2+...+9) =
10x + 3(9)(10)/2 =
10x + 135
Since the total is less than 150, x must equal 1.
The number of cans in the 6th row is 1 + 3(5) = 16
The answer is B.
Question: Peter rolls two dice at the same time. What is the probability that either of the dices show either 1 or 5?
A.a) 1/12
B.b) 1/18
C.c) 1/6
D.d) 5/12
Answer: B.b) 1/18
Explanation: We can have 6 different outcomes on a dice.
Total outcomes on two dices = 6*6
We need only the cases when Peter rolls a double, that means only the outcomes in which the numbers on both the dices are same
They can be {1, 5}, {5, 1}.
A total of 2 outcomes
Probability = favorable outcomes/ total outcomes = 2/36 = 1/18.
Option B
Question: 40 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4m3 , then the rise in the water level in the tank will be:
A.25 cm
B.20 cm
C.35 cm
D.50 cm
Answer: B.20 cm
Explanation: Explanation:
Total volume of water displaced =(4 x 40) m3 = 160 m3
Rise in water level = 160/40Ã—20= 0.2m = 20cm
Answer: B
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
A.378
B.277
C.389
D.480
Answer: D.480
Explanation: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
Area of the square cannot be found.
Answer:D
Question: 3^12 + 3^12 + 3^12 =
A.3^11
B.3^13
C.3^15
D.9^12
Answer: B.3^13
Explanation: Since we have 3^12 added together 3 times, we can factor out a 3 and we get 3(3^12) which is equal to 3^13.
The answer is B.
Question: Find the value for x from below equation: x/3=-5?
A.-66
B.13
C.-15
D.-31
Answer: C.-15
Explanation: 1. Multiply both sides by 3:
x*3/3= -5/3
Simplify both sides:
x = -15
C
Question: Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 28 in two years, at the same percent rate per annum?
A.s. 25
B.s. 48
C.s. 42
D.s. 20
Answer: A.s. 25
Explanation: Explanation:
SI in 2 years = Rs. 20, SI in 1 year = Rs. 10
CI in 2 years = Rs. 28
% rate per annum = [(CI – SI) / (SI in 1 year)] *100
= [(28 – 20) / 20] * 100
= 40 % p.a.
Let the principal be Rs. X
Time = T = 2 years
% rate = 40% p.a.
SI = (PRT/100)
20 = (X*40*2) / 100
X = Rs. 25
ANSWER: A