RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A librarian has a set of seven books, including four different books about Abraham Lincoln. The librarian wants to put the seven books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other three books. How many different arrangements of the seven books are possible?
A.(7!)/(4!)
B.(4!)(3!)
C.(4!)(4!)
D.(4!)(7!)
Answer: C.(4!)(4!)
Explanation: You can club the four Lincoln books as one, which leaves us with three other books plus this one to think about. So, these four items can be arranged in 4! ways, and since the four books can be moved around among themselves with each combination giving us a new overall combination, we have an additional 4! ways. Therefore, the answer would be 4!*4!, which is C.
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A.100 m
B.350 m
C.25 m
D.30 m
Answer: B.350 m
Explanation: Explanation:
Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
Answer:B
Question: Can you find the missing number in the sequence given below?
11 14 17 12 15 ? 13 16 19 14 17 20
A.20
B.21
C.18
D.23
Answer: C.18
Explanation: Solution:
18
Explanation :
The sequence is given in the puzzle is :
11 14 17 12 15 ? 13 16 19 14 17 20
Let's break the given series as below:
11 14 17
12 15 ?
13 16 19
14 17 20
Now read the number from left hand side from top to bottom as :
So the number that will replace '?' is 18.
Answer C
Question: How many of the following numbers are divisible by 3 but not by 9.
4320, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
A.5
B.6
C.7
D.8
Answer: B.6
Explanation: Taking the sum of the digits, we have :
S1 = 9, S2 = 12, S3 = 18, S4 = 9, S5 = 21, S6 = 12, S7 = 18, S8 = 21, S9 = 15, S10 = 24.
Clearly, S2, S5, S6, S8, S9, S10 are all divisible by 3 but not by 9.
So, the number of required numbers = 6.
ANSWER:B
Question: Find the sum of first 16 natural numbers
A.136
B.468
C.465
D.463
Answer: A.136
Explanation: Explanation:
Sum of n natural numbers
=n(n+1)/2
=16(16+1)/2=16(17)/2=136
Answer: Option A
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 3 men and 2 women from the given committee?
A.150
B.200
C.250
D.300
Answer: A.150
Explanation: The number of ways to select three men and two women = 5C3 * 6C2 = 10 * 15 = 150
The answer is A.
Question: After decreasing 24% in the price of an article costs Rs.836. Find the actual cost of an article?
A.1218
B.2777
C.1100
D.2688
Answer: C.1100
Explanation: CP* (76/100) = 836
CP= 11 * 100 => CP = 1100
Answer: C
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg. How much amount did he pay to the shopkeeper?
A.A)1235
B.B)1055
C.C)1065
D.D)1075
Answer: A.A)1235
Explanation: Cost of 8 kg grapes = 70 × 8 = 560.
Cost of 9 kg of mangoes = 75 × 9 = 675.
Total cost he has to pay = 560 + 675 = 1235.
A)
Question: A Winson's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
A. 1:2
B. 4:5
C. 1:1
D. 3:2
Answer: A. 1:2
Explanation: A Winson's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996.1996- x----- y------- x+y
1997- x1---- y1-- x1+y1
x1= a*x .....(P)
y1= 1.07*y...(Q)
x1+y1/x+y = 1.01
solve using P and Q and find x/y
Question: One week, a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50% of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 10 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
A.18
B.20
C.12
D.8
Answer: B.20
Explanation: N - Not rented trucks; R - Rented trucks
N + R = 20
N + R/2 = 10
R = 20
B
Question: 2x + y = 20
|y| <= 20
For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers?
A.15
B.17
C.19
D.21
Answer: D.21
Explanation: Hi - The questions says |y| <=20 so the values of y will range from 0 to 20. So the values of y will be 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20. So 21 (d) is the answer. remember sign doesn't matter for y as y will always be positive.D
Question: 998 x 998 = ?
A.996000
B.1000000
C.996004
D.4000
Answer: C.996004
Explanation: 998 x 998= (998)2
= (1000 - 2)2
= (1000)2 + (2)2 - (2 x 1000 x 2)
= 1000000+ 4 - 4000
= 1000004 - 4000
= 996004.
C)
Question: Solve for x: 2x – y = (3/4)x + 6.
A.(y + 6)/5
B.4(y + 6)/5
C.(y + 6)
D.4(y - 6)/5
Answer: B.4(y + 6)/5
Explanation: Solution:
2x – y = (3/4)x + 6.
or, 2x - (3/4)x = y + 6.
or, (8x -3x)/4 = y + 6.
or, 5x/4 = y + 6.
or, 5x = 4(y + 6).
or, 5x = 4y + 24.
or, x = (4y + 24)/5.
Therefore, x = 4(y + 6)/5.
Answer: (B).
Question: If 0 < x < 1 < y, which of the following must be true?
A.1 < 1/x < 1/y
B.1/x < 1 < 1/y
C.1/x < 1/y < 1
D.1/y < 1 < 1/x
Answer: D.1/y < 1 < 1/x
Explanation: Soln:
0<x<1<y. Let x=1/2 and y =2
Substituting values:
A. 1<2<1/2 --- Wrong
B. 2<1< 1/2 --- Wrong
C. 2<1/2<1 --- Wrong
D. 1/2<1<2 --- Correct
E. 1/2<2<1 --- Wrong
Hence answer is D
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
A.Rs.201
B.Rs.220
C.Rs.228
D.Rs.205
Answer: D.Rs.205
Explanation: A:B:C = 100:65:40
= 20:13:8
8 ---- 40
41 ---- ? => Rs.205
Answer: D
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
A.150
B.140
C.130
D.120
Answer: A.150
Explanation: (60/100) * X – 40 = 50
6X = 900
X = 150
ANSWER:A
Question: Zayn, Mark, David ,Peter, Harry and Paula line up at a ticket window. In how many ways can they arrange themselves so that David is second in line from the window?
A.a 100
B.b 112
C.c 90
D.d 120
Answer: D.d 120
Explanation: D
David's position is fixed. Now we need to arrange all others around David.
There are 5x4x3x2x1= 120 ways to arrange five people.
Question: Look at this series: 2.2, 2.5, 2.8, 3.1, ... What number should come next?
A.3.2
B.3.3
C.3.4
D.3.5
Answer: C.3.4
Explanation: C
3.4
In this simple addition series, each number increases by 0.3.
Question: For a positive integer n, let Pn denote the product of the digits of nn and Sn denote the sum of the digits of nn. The number of integers between 10 and 100 for which Pn+Sn=n
A.2
B.3
C.9
D.12
Answer: C.9
Explanation: Explanation:
Let the two digit number be 'ab'
Given, a × b + a + b = 10a + b
a × b = 9a
b = 9
Therefore, for b = 9, the above condition satisfies. So all the two digit numbers for which units digit is 9 are our solutions. They range from 19 to 99. Total 9 numbers.
Correct option: c
Question: 2 friends X & Y walk from A to B at a distance of 39 miles at 3 miles/hr and 3.5 miles/hr respectively. Y reaches B, returns immediately and meets X at ‘C’ . find distance from A to C.
A.38 km
B.39 km
C.35 km
D.36 km
Answer: D.36 km
Explanation: Since the time of meeting will be same. Set the equation for time as equal.
---------------39---------------
A*...................C*...........*B
-----(39-x)-------|----x------
At C,
T(A)=T(B)
((39-x)/3)=((39+x)/3.5)
Solve for x. and subtract x from 39 to get the answer.
answer is 39-3=36km.
ANSWER:D
Question: Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 90% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
A.66%
B.75%
C.86%
D.97%
Answer: D.97%
Explanation: Let the price of Company A's assets be 100
Price of assets of KW is 90% more than company A's assets which is 190
Price of assets of KW is 100% more than company B's assets which means price of Company B's assets is half the price of KW = 95
A+B = 195
KW = 190
KW/(A+B)*100 = 190/195*100 = 97.43% or 97%D
Question: Finch has s pairs of shoes, which is 1/6 as many as Guptil and twice as many as S.Smith. In terms of s, how many pairs of shoes do the three of them have combined?
A.5s
B.15/2*s
C.14s
D.3s
Answer: B.15/2*s
Explanation: == s +6s + s/2 ==> 7s + 1/2 s = 15/2*s
Ans .B
Question: If n=5p where p is a prime number greater than 1, how many different positive even divisors does n have, WITHOUT N VALUE?
A.1
B.2
C.3
D.45
Answer: A.1
Explanation: N = 5P and that P is a prime number greater than 1. Let's TEST P = 2; so N = 10
The question now asks how many DIFFERENT positive EVEN divisors does 10 have, including 10?
10:
1,10
5,2
How many of these divisors are EVEN? 2 …..1 even divisors.
ANSWER:A
Question: In a sports club with 35 members, 15 play badminton and 18 play tennis and 5 do not play either. How many members play both badminton and tennis?
A.3
B.5
C.6
D.7
Answer: A.3
Explanation: 15+18=33
but where as total number is 35-5=30
therefore answer is 33-30=3
Hence Answer is A
Question: If 6th March, 2013 is Wednesday, what was the day of the week on 6th March, 2012?
A.Sunday
B.Saturday
C.Tuesday
D.Wednesday
Answer: C.Tuesday
Explanation: Solution
The year 2012 is a leap year. So, it has 2 odd days.
But, Feb 2012 not included because we are calculating from March 2012 to March 2013. So it has 1 odd day only.
The day on 6th March, 2013 will be 1 day beyond the day on 6th March, 2012. Given that, 6th March, 2013 is Wednesday.
6th March, 2012 is Tuesday (1 day before to 6th March, 2013)
Answer C
Question: In Winchard's company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company?
A.43.0
B.45.5
C.46.0
D.49.0
Answer: A.43.0
Explanation: In Winchard's company 60% of the employees earn less than $50,000 a year, 50 and 51 employee will be each 43K. hence median = (43K+43k)/2=A
Question: Jason flips a coin three times. What is the probability E that the coin will land on the same side in all three tosses?
A.1/16
B.1/8
C.1/4
D.1/3
Answer: C.1/4
Explanation: Total outcome is 2^3=8
Favorable cases HHH or TTT
Therefore, probability E is 2/8 or 1/4.C
Question: Two numbers when divided by a divisor leave remainders of 218 and 342 respectively. The remainder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor.
A.387
B.423
C.492
D.512
Answer: C.492
Explanation: Let x be the divisor.
N1 = xa + 218
N2 = xb + 342
N1 + N2 = x(a+b) + 560 = xc + 68
x(c-a-b) = 492 but we know that x > 342, thus (c-a-b) must equal 1.
The answer is C.
Question: If Packard reads at a constant rate of 4 pages every 5 minutes, how many seconds will it take him to read N pages?
A.75
B.2N
C.5/2*N
D.24N
Answer: A.75
Explanation: Packard would read 1 page in 5/4 min
Packard would read N page in (5/4)*N min i.e. (5/4)*N*60 Seconds = 75N Seconds.
Option A is the correct Answer.
Question: Four friends built a colony for themselves. They built their own houses at different distances from each other.
Chris lived 60 km away from Alex.
Darren lived 40 km away from Bill.
Chris lived 10 km nearer to Darren than he lived to Bill.
Can you find out how far was Darren's house from Alex?
A.55 km.
B.65 km.
C.75 km.
D.85 km.
Answer: C.75 km.
Explanation: Solution:
75km
Explanation:
Distance between Bill and Darren = 40 km
Distance between Bill and Chris + Distance between Chris and Darren = 40 km
Distance between Bill and Chris + (Distance between Bill and Chris - 10) = 40 km
2 * Distance between Bill and Chris = 50 km
Distance between Bill and Chris = 25
Distance between Chris and Darren = 15 km
Therefore, distance between Darren's house and Alex's house = 60 + 15 = 75 km.
Answer C
Question: A 700-level question for the GMAT committed souls studying over the weekend.
If a and b are distinct integers and a^b=b^a, how many solutions does the ordered pair (a, b) have?
A.None
B.1
C.2
D.4
Answer: B.1
Explanation: (2,4) and (4,2)
a=1 b=1 and a=2 b=2 also has the solution. But we need distinct. Now when we will increase a>4, b^a increase more rapidly than a^b.
ANSWER:B
Question: If a man crosses a 400 m long street in 5 minutes. What is his speed?
A.7 km/hr
B.7.1 km/hr
C.7.2 km/hr
D.4.8 km/hr
Answer: D.4.8 km/hr
Explanation: distance = 400 meter
time = 5 minutes = 5 x 60 seconds = 300 seconds
Speed = distance/time=400/300=1.33m/s=1.33×18/5 km/hr=4.8 km/hr
D
Question: If x + y = 8 and y − 3x = 7, then what is the value of y-x?
A.1/7
B.3
C.15
D.15/2
Answer: D.15/2
Explanation: x+y=8 ...equation 1
-3x+y=7 ...equation 2
adding both the equations
-2x+2y=15=>y-x=15/2
correct answer option D
Question: The length and breadth of a rectangle is increased by 5% and 15% respectively. What is the increase in the area?
A.21.25
B.22.75
C.19.25
D.20.75
Answer: D.20.75
Explanation: 100*100 =10000
105*115 =12075
-----------
2075
10000------2075
100-----?=>20.75
Answer D
Question: The average of five numbers is 30. If one number is excluded, the average becomes 28. The excluded number is?
A.8
B.6
C.38
D.35
Answer: C.38
Explanation: Excluded number
= (30 * 5) - (28 * 4)
= 150 - 112 = 38
Answer:C
Question: If the price of a book is first decreased by 50% and then increased by 60%, then the net change in the price will be?
A.20% decrease
B.10% increase
C.10% decrease
D.15% increase
Answer: A.20% decrease
Explanation: Let the original price be $100
New final price = 160% of (50% of $100)
= 160/100 * 50/100 *100 = $80
Decrease is 20%
Answer is A
Question: Superman flied 200 miles in 1 hour 1 minute. What was the average speed of Superman?
A.180 miles / hour
B.170.3 miles / hour
C.196.72 miles / hour
D.160 miles / hour
Answer: C.196.72 miles / hour
Explanation: We first convert the time of 1 hours 1 minutes in minutes
1 hours 1 minutes = 1 * 60 + 1 = 61 minutes
Average speed S is given by distance / time. Hence
S = 200 miles / 61 minutes = 3.27 mile / minute
= 196.72 miles / hour
correct answer C
Question: Two circular blocks are placed one above the other. Block A at the bottom has a diameter of 24 cm. Block B at the top has a diameter of 16 cm. What fraction of Block A's surface is not covered by Block B?
A.5/6
B.2/3
C.2/9
D.18/20
Answer: C.2/9
Explanation: The questions asks us to find the surface which is not covered by the Block B i.e., area of the surface not covered.
Where as circumference is the length along the edge of the circle,
2*pi*r implies the length of the curve
pi*r^2 implies area enclosed by that curve..hence Area of the circle is considered for this problem
Area of the Block B=pi* r^2, where r=8
=>pi*64
Area of the Block A=pi*144
Surface not covered by the Block B=pi*144-pi*64=Pi*80
fraction of Block A surface is not covered by a Block B= Pi*80/total area of the Block A
=>Pi*80/Pi*144=2/9
Answer C
Question: 81,162,49,98,25,50,64
A.126
B.127
C.129
D.128
Answer: D.128
Explanation: 81*2=162
49*2=98
25*2=50
64*2=128
ANSWER:D
Question: Salesperson A's compensation for any week is $240 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
A.$7000
B.$9000
C.$11,000
D.$13,000
Answer: B.$9000
Explanation: 240+0.06(x-1000) = 0.08x
0.02x = 180
x = $9,000
The answer is B.
Question: A train passes a station platform in 21 seconds and a man standing on the platform in 15 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.299
B.277
C.90
D.88
Answer: C.90
Explanation: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 15) m = 225 m.
Let the length of the platform be x meters.
Then, x + 225 / 21 = 15
x + 225 = 315
x = 90 m.
Answer:C
Question: Evaluate combination
11C3
A.10000
B.1000
C.165
D.1
Answer: C.165
Explanation: Explanation:
nCn=1
nCr=n!/r!(n-r)!
11C3=11!/3!(11-3)!=165
Option C
Question: The present ratio of students to teachers at a certain school is 40 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
A.5
B.8
C.10
D.12
Answer: A.5
Explanation: We are given that the ratio of students to teacher is 40 to 1. We can rewrite this using variable multipliers.
students : teachers = 40x : x
We are next given that student enrollment increases by 50 and the number of teachers increases by 5. With this change the new ratio becomes 25 to 1. We can put all this into an equation:
Students/Teachers  25/1 = (40x + 50)/(x + 5)
If we cross multiply we have:
25(x + 5) = 40x + 50
25x + 125 = 40x + 50
5 = x
Since x is the present number of teachers, currently there are 5 teachers.
Answer A.
Question: There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'L', then how many triangles can be determined with the 15 points that contain the point L?
A.91
B.105
C.182
D.210
Answer: C.182
Explanation: Fist point is L which is fixed so can be selected in 1 way
Second point can be selected in 14 ways
Third point can be selected in 13 ways
so total ways = 1x14x13 = 182
but answer is 91 which is 182/2=C
Question: Choose the number pair/group which is different from others?
A.8 : 39
B.8 : 38
C.8 : 33
D.8 : 32
Answer: C.8 : 33
Explanation: Explanation:
In all other pairs, 2nd number = (1st number × 3) + 1.
Answer: C) 8 : 33
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
A.22 days
B.77 days
C.24 days
D.17 days
Answer: C.24 days
Explanation: B = 1/8 – 1/2 = 1/24 => 24 days
Answer: C
Question: Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 10
A.13
B.15
C.17
D.20
Answer: D.20
Explanation: A. 18 (can be weighed by keeping weights of 10,1 and 7 )
B. 15 (can be weighed by keeping weights of 10,4 and 1 kg)
C. 17 (can be weighed by keeping weights of 10 and 7 kg)
D. 20(cannot be weighed)
E. 21 (can be weighed by keeping weights of 10, 7 and 4 kg)
D
Question: If q is an integer, what is the greatest possible value for q that would still make the following statement true: 11*10^q < 1/10 ?
A. –4
B. –3
C. –2
D. –1
Answer: B. –3
Explanation: Just putting values, the LHS becomes
q=0 --> 11
q=-1 --> 11/10
q=-2 --> 11/100
q=-3 --> 11/1000
Anything lower will be smaller than 11/1000. q=-2, equality does not hold but it does for q=-3.
Answer is B.
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
A.5/7
B.5/9
C.5/4
D.5/1
Answer: B.5/9
Explanation: No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.
Thus 6 * 5 * 4 = 120 favourable cases.
The total cases are 6 * 6 * 6 = 216.
The probability = 120/216 = 5/9.
Answer:B
Question: In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 3% and that of the females by 9% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?
A.7 : 11
B.5 : 4
C.2 : 3
D.Data inadequate
Answer: A.7 : 11
Explanation: Let the population of males = x; then the population of females = 9000 – x
Now, 3% of x + 9% of (9000 – x)
= (9600 – 9000 ) = 600
or 0.03x + 720 – 0.09x = 600
or 720 – 600 = 0.09x – 0.03x
or, 120 = 0.06x
x = 3500
Reqd ratio of population of males and females
3500/9000−3500=3500/5500=7:11
Answer A
Question: Find the greatest number that will divide 54, 87 and 172 so as to leave the same remainder in each case
A.13
B.3
C.15
D.1
Answer: D.1
Explanation: Explanation:
Required number = (87-54),(172-87),(172-54)
= H.C.F of 33,85 and 118 is 1
Answer: Option D
Question: A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.42 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.48 In what ratio should he mix the water and milk?
A.1:20
B.1:10
C.1:8
D.1:4
Answer: A.1:20
Explanation: water = w (liter)
Milk = m (liter)
==> Cost = Price x Quantity = 0.42m
==> Revenue = Price x Quantity = 0.48(m + w)
==> Profit =0.48(m+w) - 0.42m = 0.2*(0.42m)[20% of cost]
==> 0.48m + 0.48w - 0.42m = 0.084m
==> 0.024m = 0.48w
==> m/w = 0.48/0.024 = 20
--OR--
w/m = 1/20
A is correct.
Question: If the average marks of three batches of 45, 68 and 55 students respectively is 50, 55, 60, then the average marks of all the students is
A.55.29
B.54.68
C.54.6
D.54.58
Answer: A.55.29
Explanation: Explanation:
(45Ã—50)+(68Ã—55)+(55Ã—60) / 45+68+55
9290 / 168=55.29
Option A
Question: The average of first five multiples of 3 is :
A.3
B.9
C.12
D.15
Answer: B.9
Explanation: Solution
Average = 3(1+2+3+4+5)/5 =45/5 =9 Answer B
Question: A bus takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2 th of the previous time?
A.60 Kmph
B.72 Kmph
C.80 Kmph
D.84 Kmph
Answer: A.60 Kmph
Explanation: Time = 6
Distance = 540
3/2 of 6 hours = 6 * 3/2 = 9 Hours
Required speed = 540/9 = 60 Kmph
A
Question: Evaluate 50!/47!
A.102500
B.112584
C.117600
D.118450
Answer: C.117600
Explanation: Evaluate 50!/47! = 50*49*48* (47!)/47!
= 50*49*48
= 117600
ANSWER:C
Question: In the next Worldcup of cricket there will be 12 teams, divided equally in 2groups. Teams of eachgroup will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. 4top teams of this round will qualify for the semifinal round, where they play the best of 3matches. The Minimum number of matches in the next World cup will be
A.34
B.36
C.53
D.59
Answer: C.53
Explanation: The number of matches in first round,
= 6C2 +6C2;
Number of matches in next round,
= 6C2;
Number of matches in semifinals,
= 4C2;
Total number of matches,
= 6C2 +6C2+6C2+4C2+2.
= 53.
C
Question: In how many ways can 5 men & 4 women can be made from a gang of 7 men & 8 women ?
A.91
B.98
C.97
D.86
Answer: A.91
Explanation: Explanation:
7C5 * 8C4 = 91
A
Question: A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 35 adults have their meal, find the total number of children that can be catered with the remaining food.
A.33
B.54
C.18
D.45
Answer: D.45
Explanation: Explanation:
As there is meal for 70 adults and 35 have their meal, the meal left can be catered to 35 adults.
Now, 70 adults = 90 children
7 adults = 9 children
Therefore, 35 adults = 45 children
Hence, the meal can be catered to 45 children.
ANSWER: D
Question: On his first 5 tests, David received an average score of N points. If on his sixth test, he exceeds his previous average score by 36 points, what is his average score for his first 6 tests?
A.N +12
B.N +6
C.N +3
D.N +8
Answer: B.N +6
Explanation: Total of 1st 5 tests= 5N
6th test score = N + 36
Total of all 6 tests = 6N + 36
Average = N +6
Answer : B
Question: What number has a 5:1 ratio to the number 10?
A.11
B.50
C.99
D.77
Answer: B.50
Explanation: 5:1 = x: 10
x = 50
Answer: B