RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The ratio of the capacity to do work of A and B is 3 : 2. If they together can complete a work in 18 days, then how long does A take to complete the work alone?
A.45
B.30
C.24
D.40
Answer: A.45
Explanation: LLet A and B take 3x and 2x days to complete the work
1/3x+1/2x=1/18 ⇒x=15
So A will take 45 days.
Answer: A
Question: Mike earns $14 per hour and Phil earns $10.5 per hour. Approximately how much less, as a percentage, does Phil earn than Mike per hour?
A.25%
B.32.5%
C.37%
D.37.5%
Answer: A.25%
Explanation: let it be x % less ,then
=14(1-x/100)=10.5
1-x/100=10.5/14
x=350/14
x=25%
ANSWER:A
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
A.42 6/9%
B.42 8/7%
C.49 6/7%
D.42 6/7%
Answer: D.42 6/7%
Explanation: SP = CP + g
50 SP = 50 CP + 15 SP
35 SP = 50 CP
35 --- 15 CP gain
100 --- ? => 42 6/7%
Answer:D
Question: There are 200 female managers in a certain company. Find the total number W of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
A.300
B.W=400
C.W=500
D.W=600
Answer: C.W=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: X starts a business with Rs.56000. Y joins in the business after 4 months with Rs.44000. What will be the ratio in which they should share the profit at the end of the year?
A.21:11
B.11:21
C.22:23
D.25:23
Answer: A.21:11
Explanation: Explanation :
Ratio in which they should share the profit
= Ratio of the investments multiplied by the time period
= 56000 * 12: 44000 * 8
= 56 * 12: 44 * 8
= 7*3: 11
= 21:11. Answer : Option A
Question: The sum of two numbers is 184. If one-third of the one exceeds one-seventh of the other by 8, find the smaller number.
A.72
B.64
C.84
D.12
Answer: A.72
Explanation: Let the numbers be x and (184-x). Then,
(x/3) - (184-x)/7 = 8
7x - 3(184-x) = 168
10x = 720, x = 72.
Hence the correct answer is option A) 72.
Question: A man sells an article at 15% loss. Had he sold it for Rs. 280/- more he could have gained 20%. What is the cost price of the article?
A.Rs.420/-
B.Rs.400/-
C.Rs.460/-
D.Rs.800/-
Answer: D.Rs.800/-
Explanation: Explanation:
Short cut method:
Loss =====> 15 %
Profit ====> 20 %
~
----------------
35 % ---------> Rs. 280/-
100 % --------> Rs. 800/-
Answer: Option D
Question: P software has coding line 5% more than N, N software has coding line 4/13 more than M. M software has 78 lines of coding. find P lines.
A.106
B.107
C.108
D.109
Answer: B.107
Explanation: M s/w has 78 line of code
N s/w has = 78+78*4/13= 102 line of code
P s/w 5% more N' code 102+5.1=107.1
or
107 line of code
ANSWER:B
Question: The bankers discount of a certain sum of money is Rs. 288 and the true discount on the same sum for the same time is Rs. 240. The sum due is:
A.1400
B.1420
C.1440
D.1460
Answer: C.1440
Explanation: Sum = (B.D*T.D)/(B.D-T.D)
(288*240)/288-240;
1440
ANSWER: C
Question: Fifty five percent of a number is 21 less than four fifth of that number. What is the number ?
A.84
B.140
C.230
D.130
Answer: A.84
Explanation: Let the number be x.
Then, 4*x/5 â€“(55% of x) = 21
4x/5 â€“ 55x/100 = 21
x = 84.
Answer A.
Question: The only contents of a container are 4 blue disks and 8 green disks. If 3 disks are selected one after the other, and at random and without replacement from the container, what is the probability that 1 of the disks selected is blue, and 2 of the disks selected are green?
A.21/55
B.28/55
C.34/55
D.5/8
Answer: B.28/55
Explanation: Prob of selecting one blue and two green is (4*8*7/12*11*10)
one blue and two green can be arranged in 3!/2! ways
hence the prob becomes 3*4*8*7/12*11*10=28/55
Correct answer is B
Question: Which of the following is an integer?
I. 12! / 6!
II. 12! / 8!
III. 12! / 9!6!
A.I only
B.II only
C.III only
D.I and II only
Answer: D.I and II only
Explanation: 12!/6! = 12*11*10*9*8*7 which is an integer.
12!/8! = 12*11*10*9 which is an integer.
12!/9!6! = 12*11*10/ 6*5*4*3*2 = 11/6 which is not an integer.
The answer is D.
Question: a biker notices a certain number(2 digits number) on the milestone before starting the journey. After riding for an hour he notices a milestone with reversed digits of the previous number. Now after riding for another hour he notices that the number on a new milestone had same digits as the first one (in the same order) but with a "0" between the 2 digits. If the rider maintains a constant speed throughout, Calculate his speed.
A.40
B.45
C.50
D.55
Answer: B.45
Explanation: let first two digit number is xy = 10x + y
after one hour, the number is reversed yx = 10y + x
after another one hour, it x0y = 100x + y.
now xy < yx < x0y
so, (10y + x) - (10x + y) = (100x + y) - (10y + x)
or, 9(y - x) = 9(11x - y)
or, 12x = 2y
the above equation will be true only if x = 1 and y = 6.
hence, his speed is 45
ANSWER:B
Question: Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 25% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
A.5%
B.10%
C.15%
D.25%
Answer: C.15%
Explanation: The formula is
n(AUBUC) = n(A)+n(B)+n(C)-B+A-N
where B is both (it will sum of (AB), (BC), (CA)).
and A is All
and N is neither
so plugging in we get
100 = 60+50+25+10-B-0
B = 45.
exactly two = 45 - 3(10) = 15
subtracting 10% three times as this value is including in all the (AB), (BC), (CA).
Answer C
Question: Abel can complete a work in 10 days, Ben in 12 days and Carla in 16 days. All of them began the work together, but Abel had to leave after 2 days and Ben 4 days before the completion of the work. How long did the work last?
A.6
B.7
C.7 2/3
D.9
Answer: C.7 2/3
Explanation: Abel in the 2 days that he worked completed 1/5 of the job = 4/5 remains
Then if Ben had to leave 4 days before the completion, this means that Carla had to work alone for these 4 days in which she completed 1/4 of the job.
Now together, Ben and Carla completed the job in (1/12 + 1/15)(t) = 11/20
3/20 (t) = 11/20 ---> t = 3 2/3
Therefore, these 3 2/3 days worked plus the 4 days that Carla had to work by herself add to 7 2/3 days
Answer: C
Question: plot ABCD is as shown in figure, where AF = 30 m, CE = 40 m, ED = 50 m, AE = 120 m. Find the area of the plot ABCD?
A.7207
B.7206
C.7203
D.7200
Answer: D.7200
Explanation: Area of plot ABCD = Area of ADE + Area of AFB + Area of BCEF
= 1/2 * 50 * 120 + 1/2 * 40 * 30 + 40 * 90 = 3000 + 600 + 3600
= 7200 sq.m
Answer: D
Question: There are 1100 jelly beans divided between two jars, Jar X and Jar Y. If there are 500 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?
A.550
B.600
C.650
D.700
Answer: D.700
Explanation: X+Y=1100 so Y=1100-X
X=3Y-500
X=3(1100-X)-500
4X=2800
X=700
The answer is D.
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
A.2.98 km
B.2.88 km
C.6.88 km
D.4.88 km
Answer: B.2.88 km
Explanation: M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer:B
Question: Cindy's elephant balloon animal calls 3 long white balloons and 4 long black balloons. She needs to make 4 balloon animals for a child's party. If 12 long white balloons are used, then how many long black balloons are needed?
A.12
B.36
C.16
D.48
Answer: C.16
Explanation: Number of long white balloons needed per animal 3
Total number of animals needed 4
Total number of white balloons needed 3x4 = 12
Number of long black balloons needed per animal 4
Total number of animals needed 4
Total number of long black balloons needed 4x4 = 16
Answer 16
The correct answer is C
Question: If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are
the T odds that x^2+y^2>1?
A.1. pi/4
B.2. pi/16
C.3. T=1-pi/4
D.4. T=1-pi/16
Answer: C.3. T=1-pi/4
Explanation: area of the square will be 4, and the area of circle with center (0,0) and radius 1 will be pi.
then succesful outcomes = 4 - pi (the area where x2+y2 will be greater than 1)
total outcomes = 4
therefore probability = (4-pi)/4
C
Question: A can run 256 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
A.32 metre
B.28 metre
C.23 metre
D.15 metre
Answer: A.32 metre
Explanation: Clearly, A beats B by 4 seconds
Now find out how much B will run in these 4 seconds
Speed of B = Distance/Time taken by B=256/32=8 m/s
Distance covered by B in 4 seconds = Speed Ã— time =8Ã—4=32 metre
i.e., A beat B by 32 metre
Answer is A
Question: If 1/4 kg of tomato costs 60 paise, how many paise will 200 grams cost ?
A.45 paise
B.46 paise
C.47 paise
D.48 paise
Answer: D.48 paise
Explanation: Explanation :
1/4 kg means 250 gm
Less weight, less price (Direct Proportion)
So,
250:200::60:x
=>x=200*60/250
=>x=48
So 200 gm will cost 48 paise.
Answer : D
Question: 6 mat-weavers can weave 6 mats in 6 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
A.9
B.10
C.11
D.12
Answer: B.10
Explanation: Let the required number of mats be x
More mat-weavers, more mats (direct proportion)
More days, more mats (direct proportion)
Hence we can write as
(mat-weavers)6:8
}::6:x
(days)6:8
⇒6×6×x=8×8×6
⇒x=10
ANSWER:B
Question: Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by 6000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his investment in 1995?
A.100000
B.100500
C.126000
D.Data inadequate
Answer: C.126000
Explanation: Let the investment of X in 1995 be x.
∴ Profit = x⁄5
∴ Income = (x + x⁄5) = 6⁄5x
Investment of company X in 1996 would be (x – 6000) From the question,
(x - 6000) × 126⁄100 = 6⁄5x ⇒ x = 126000
Answer C
Question: The last day of a century cannot be :
A.Monday
B.Wednesday
C.Friday
D.Tuesday
Answer: D.Tuesday
Explanation: 100 years contain 5 odd days. So, last day of 1st century is ‘Friday’
200 years contain (5 × 2) = 10 odd days = 3 odd days.
So, last day of 2nd century is ‘Wednesday’.
300 years contain (5 × 3) = 15 odd days = 1 odd day.
∴ Last day of 3rd century is ‘Monday’.
400 years contain 0 odd day.
∴ Last day of 4th century is ‘Sunday’
Since the order is continually kept in successive cycles,
we see that the last day of a century cannot be Tuesday,Thursday or Saturday.
Answer D
Question: Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers be in the ratio of 3 : 4, the numbers are
A.6, 8
B.9, 12
C.12, 16
D.16, 20
Answer: A.6, 8
Explanation: Solution
Let the numbers be 3x and 4x. Then,
(4x)2 = 8 x (3x)2 - 224
‹=›16x2 = 72x2 - 224
‹=›56x2 = 224.
‹=›x2 = 4.
‹=›x = 2.
So, the numbers are 6 and 8.
Answer A
Question: A man walks from B to C, a distance of x miles, at 10 miles per hour and returns at 12 miles per hour. What is his average speed?
A.10.9 mph
B.9.6 mph
C.8.8 mph
D.8.4 mph
Answer: A.10.9 mph
Explanation: Total distance covered = 2x
Time taken12miles / hour = x/12 hrs
Time taken @ 10 miles / hour = x/10 hrs
Avg speed = 2x / (x/9 + x/12) = 10.9 mph
Ans is A
Question: Today is Monday. After 61 days, it will be :
A.Thursday
B.Saturday
C.Monday
D.Sunday
Answer: B.Saturday
Explanation: Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.
Answer is B.
Question: If p and e are positive integers such that p > e > 1, what is the remainder when 92p × 5p+e + 11e × 6pe is divided by 10?
A.A.0
B.B.1
C.C.3
D.D.4
Answer: B.B.1
Explanation: 92p × 5p+e + 11e × 6pe--1=B
Question: The present ages of three persons in proportions 2 : 3 : 5. Five years ago, the sum of their ages was 35. Find their present ages (in years).
A.8, 20, 28
B.16, 28, 36
C.20, 35, 45
D.10,15,25
Answer: D.10,15,25
Explanation: Explanation:
Let their present ages be 2x, 3x and 5x years respectively.
Then, (2x - 5) + (3x - 5) + (5x - 5) = 35
10x = 50
x =5
Their present ages are 2x = 10 years, 3x = 15 years and 5x = 25 years respectively.
Answer: D
Question: The speed of a boat in still water in 20 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 12 minutes is:
A.10.6
B.5.2
C.10.8
D.5.4
Answer: B.5.2
Explanation: Speed downstream = (20 + 6) = 26 kmph
Time = 24 minutes =12/60 hour = 1/5 hour
Distance travelled = Time × speed =1/5×26 = 5.20 km
Answer is B.
Question: In an entrance test, Deepika came across a mathematical patter problem.
If
6 / 7 = 2
3 / 9 = 7
8 / 2 = 6
Then
4 / 5 = ?
She was able to solve it in less than a minute. Can you?
A.0
B.4
C.6
D.12
Answer: A.0
Explanation: A
The answer is 0.
As
6 / 7 = 42 but the answer is written as 2
3 / 9 = 27 but the answer is written as 7
8 / 2 = 16 but the answer is written as 6
If we look at the answers, the second digit has been used in the problem.
Now, as
4 / 5 = 20 and the second digit is 0, the answer is 0.
Question: Mr Sharad started a business investing 50000. Four months later Mr Praveen joined the business by investing 90000. If the profit in the business at the end of the year was 22000 how much amount would Mr Praveen have received as the profit?
A.16000
B.14000
C.12000
D.11000
Answer: C.12000
Explanation: Ratio of their investment
= 50000 × 12 : 90000 × 8 = 5 : 6
\ Amount received by Praveen = 6⁄11 × 22,000
= 12,000
Answer C
Question: Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/3 of all the paint. During the second week, he uses 1/5 of the remaining paint. How many gallons of paint has Joe used?
A.168
B.144
C.175
D.216
Answer: A.168
Explanation: Total paint initially = 360 gallons
Paint used in the first week = (1/3)*360 = 120 gallons.
Remaning paint = 240 gallons
Paint used in the second week = (1/5)*240 = 48 gallons
Total paint used = 168 gallons.
Option A
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 180 votes. Find the total number of valid votes?
A.450
B.570
C.480
D.520
Answer: A.450
Explanation: Let the total number of valid votes be x.
70% of x = 70/100 * x = 7x/10
Number of votes secured by the other candidate = x - 7x/100 = 3x/10
Given, 7x/10 - 3x/10 = 180 => 4x/10 = 180
=> 4x = 1800 => x = 450.
ANSWER:A
Question: A salesman travels a distance of 100 km in 5hours. How much faster in kilometer per hour, on an average, must he travel to make such trip in 1 hour less time?
A.2km/hr
B.3km/hr
C.5km/hr
D.7km/hr
Answer: C.5km/hr
Explanation: Time required = 5 hrs- 1hr = 4hr
Required speed = 100/4 = 25km/hr
Original speed = 100/5 = 20 km/hr
Difference = 25-20 = 5 km/hr
Answer is C
Question: At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
A.
B.
C.
D.
E.
A.5
B.10
C.24
D.32
Answer: C.24
Explanation: let 1,2,3,4,5 are people.
1. we fix position of 1
2. we have 4*3=12 possible positions for left and right neighbors of 1.
3. for each position of x1y we have 2 possible positions for last two people: ax1yb and bx1ya.
Therefore, N=12*2=24 ANS:C
Question: In what time will a train 90 m long cross an electric pole, it its speed be 72 km/hr?
A.1.5
B.2.5
C.3.5
D.4.5
Answer: D.4.5
Explanation: Speed = 72 * 5/18 = 20 m/sec
Time taken = 90/20 = 4.5 sec.
Answer: D
Question: What do you get if you add 2 to 308 five times?
A.305
B.317
C.320
D.310
Answer: D.310
Explanation: D
310 , 310 , 310 , 310 , 310
Question: A WNBA player just signed a new contract in which she will earn a 5% increase in base pay from last year to this year. Last year, she did not have a performance bonus; but this year, she will have the opportunity to earn up to a $40,000 performance bonus. If she earns the full performance bonus, her new effective salary will be a 7% raise over last year. What will her new salary be if she earns the full performance bonus?
A.2,120,000
B.2,140,000
C.2,180,000
D.2,240,000
Answer: B.2,140,000
Explanation: let x = last year's salary
the new base pay + 40,000 = the new effective pay
(1+.05)*x + 40,000 = (1+.07)*x
1.05x + 40,000 = 1.07x
40,000 = .02x
2,000,000 = x
thus the new salary = (1+.07)*2,000,000 = 2,140,000
B
Question: A marble shop contains 5 blue marbles, 5 red marbles, and 5 green marbles. If 2 marbles are purchased at random from the shop, what is the probability that the 2 marbles will be of the red?
A.5/15
B.2/21
C.20/15
D.5/210
Answer: B.2/21
Explanation: Of the 15 marbles we are wanting red:
Probability of choosing 1st red marble: 5/15
Probability of Choosing 2nd red marble: 4/14
Multiply and you get 20/210 simplified to 2/21
Answer B.
Question: How many three digits no. can be formed also including the condition that the no. can have at least two same digits ?
A.223
B.252
C.077
D.160
Answer: B.252
Explanation: Explanation:
Total number of 3 digit numbers = 9×10×10 = 900
Total number of numbers in which no digit repeats = 9×9×8 = 648
So the total number of numbers in which at least one digit repeats = 900 - 648 = 252
Answer:B
Question: Luke and Ben are in a relay race. Luke runs the first leg of the course in 59 seconds. Ben runs the second leg of the course in 48 seconds. What was the average time they took to run a leg of the course?
A.107 seconds
B.59 seconds
C.48 seconds
D.53.5 seconds
Answer: D.53.5 seconds
Explanation: (59 seconds +48 seconds)/2= 53.5 seconds
Correct option is: D
Question: A sports equipment store sold ping pong rackets for a total of $539. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
A.55
B.100
C.490
D.500
Answer: A.55
Explanation: Average price for a pair of rackets = $9.8
Total cost = $9.8*x = $539
x = 55 pairs were sold.
ANSWER:A
Question: 0.032 x 0.0162 is equal to:
A.6.48 x 10(power -4)
B.6.84 x 10(power -4)
C.4.68 x 10(power -4)
D.5.184 x 10(power -4)
Answer: D.5.184 x 10(power -4)
Explanation: 32 x 162 = 5184. Sum of decimal places = 7.
So, 0.32 x 0.0162 = 0.0005184 = 5.184 x 10(power -4)
Answer is D
Question: In the floor of a particular kitchen owned by an abstract artist, each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left. If there are nine rows in all and a total of 450 tiles in the floor, how many tiles does the leftmost row contain?
A.52
B.58
C.60
D.64
Answer: B.58
Explanation: This question can be solved in a variety of ways: with algebra, by TESTing THE ANSWERS and by using a great Number Property shortcut involving consecutive integers.
We're given a few facts to work with:
1) There are 9 rows of tiles.
2) When going from 'left to right', each row contains TWO FEWER tiles than the one next to it.
3) There are a total of 450 tiles
We're asked how many tiles the left-most most row holds (meaning the one with the MOST tiles).
To start, 450 is divisible by 9, so we can figure out the AVERAGE number of tiles per row. That is 450/9 = 50. Since we're dealing with a set of 9 consecutive integers that differ by 2 each, we know that the '5th row' will have 50 tiles (the average). Then we just have to 'add 2s' until we get to the first row...
50 +2 +2 +2 +2 = 58.
Final Answer:
B
Question: In an examination, a student scores 3 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 30 questions and secures 130 marks, the no of questions he attempts correctly is :
A.A)35
B.B)40
C.C)90
D.D)88
Answer: B.B)40
Explanation: Let the number of correct answers be X.
Number of incorrect answers = (60 – X).
3x – (30 – x) = 130
=> 4x = 160
=> x = 40
Answer:B
Question: The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 40. Then find the average for the last four matches?
A.37.25
B.33.5
C.34.25
D.35
Answer: A.37.25
Explanation: Solution
Required average	=(38.9 x 10)-(40 x 6)/ 4
= 149 / 4.
= 37.25
Answer A
Question: Three hundred students at College Q study a foreign language. Of these, 110 of those students study French, and 170 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
A.10 to 40
B.40 to 100
C.60 to 100
D.60 to 110
Answer: C.60 to 100
Explanation: 110 students study French
190 students do not study French
170 students study Spanish
130 students do not study Spanish
90 students study neither French nor Spanish
190-130=60
190-90=100
C. 60 to 100
ANSWER:C
Question: In an entrance test, Deepika came across a mathematical patter problem.
If
6 / 7 = 2
3 / 9 = 7
8 / 2 = 6
Then
4 / 5 = ?
She was able to solve it in less than a minute. Can you?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: A
The answer is 0.
As
6 / 7 = 42 but the answer is written as 2
3 / 9 = 27 but the answer is written as 7
8 / 2 = 16 but the answer is written as 6
If we look at the answers, the second digit has been used in the problem.
Now, as
4 / 5 = 20 and the second digit is 0, the answer is 0.
Question: The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
A.11
B.11.2
C.11.4
D.11.5
Answer: D.11.5
Explanation: Solution
Middle number	= [(10.5x6+11.4x6) - 10.9x11]
= (131.4 - 119.9)
= 11.5.
Answer D
Question: There are 145 bananas lying in a shop which is to be divided equally among 12 candidates. Find the extra number of bananas lying with the shop owner after distribution.
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: 145 divided by 12 = 12x12+1. That is, 1 banana will be extra after distributing 12 bananas to each candidate (12 in number). Answer A.
Question: If A speaks the truth 55% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
A.0.29
B.0.33
C.0.41
D.0.482
Answer: B.0.33
Explanation: Explanation:
Probability that A speaks truth is 55/100 = 0.55
Probability that B speaks truth is 60/100 = 0.6
Since both A and B are independent of each other
So probability of A intersection B is P(A) × P(B) =0.55 × 0.6 = 0.33
Answer: B
Question: The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
A.76
B.35
C.25
D.28
Answer: A.76
Explanation: Average = total runs / no.of innings = 32
So, total = Average x no.of innings = 32 x 10 = 320.
Now increase in avg = 4runs. So, new avg = 32+4 = 36runs
Total runs = new avg x new no. of innings = 36 x 11 = 396
Runs made in the 11th inning = 396 - 320 = 76
Answer: A
Question: The speeds of 3 cars in the ratio 5:4:6. The ratio between time taken by them to travel the same distance is?
A.1:2:3
B.5:7:12
C.12:15:10
D.22:23:25
Answer: C.12:15:10
Explanation: Ratio of time taken is = 1/5 : 1/4 : 1/6 = 12:15:10
Answer is C
Question: If A and B are two prime numbers bigger than 2, which of the following can be true?
(1) A + B is an even number.
(2) A - B is also a Even number.
(3) A^B is also a prime number
A.1 only.
B.2 only.
C.3 only.
D.1 and 2 only
Answer: D.1 and 2 only
Explanation: (1) A + B is an even number. : All primes beyond 2 are odd, so odd+odd = even, so true
(2) A x B is also a prime number. : Beats the property of primes, so false
(3) A^B is also a prime number. : Beats the property of primes, so false
Ans :D
Question: What is the sum of the different positive prime factors of 630?
A.7
B.10
C.17
D.20
Answer: C.17
Explanation: The prime factorization of 630
= 63 * 10
= 7*9 * 2*5
= 7*3^2 * 2*5
The sum of the different positive prime factors = 2+3+5+7 = 17
The answer is C.