RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Suraj has a certain average of runs for 16 innings. In the 17th innings he scores 92 runs thereby increasing his average by 4 runs. What is his average after the 17th innings?
A.48
B.64
C.28
D.72
Answer: C.28
Explanation: To improve his average by 4 runs per innings he has to contribute 16 x 4 = 64 runs for the previous 16 innings.
Thus, the average after the 17th innings
= 92 - 64 = 28.
ANSWER:C
Question: The length of a fabric needed for a dress is cut into two pieces. If the total length of the fabric is 200 inches and the shorter side is 10 inches less than half the length of the other fabric, what is the length of the shorter fabric?
A.60
B.140
C.400
D.200
Answer: A.60
Explanation: length one as L1, and length two as L2.
L1=(L2/2)-10 as eq.a
L1+L2=200 as eq.b
Substitute equation a into equation b, (L1/2)-10 +L1=200
Transpose like terms, (L1/2) + L1= 200 + 10
Get rid of fraction, L1+ L1*2= 400+20
reduces to 3*L1= 40, L1 results to 140.
Shorter fabric is (140/2)-10=60
Answer is A.
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
A.10 years
B.12 years
C.14 years
D.16 years
Answer: A.10 years
Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B's age = 2x = 10 years.
A)
Question: Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 6. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased?
A.3, 8, 24
B.7, 9, 17
C.6, 9, 12
D.5, 15, 18
Answer: A.3, 8, 24
Explanation: I didnt get your point on eliminating A.
The number of stamps only one purchased was divisible by 6.Could that not be Cecilia with 9 stamps.
I choose this and marked A.
Question: A hiker walked for 3 days. She walked 21 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
A.73
B.44
C.58
D.60
Answer: A.73
Explanation: She walked 21 miles on the first day, walking 3 miles per hour i.e. total time of walk on Day-1 = 21/3 = 7 Hours
Second day time of walk = 7-1 = 6 hours and Speed = 3+1=4 miles per hour i.e. Distance walked on second day = 6*4 = 24 miles
Third day time of walk = 7 hours and Speed = 4 miles per hour i.e. Distance walked on second day = 7*4 = 28 miles
Total Distance travelled on three days = 21+24+28 = 73
Answer: Option A
Question: The old lady who lived in a shoe was having some real trouble buying Christmas presentsfor her enormous family. Although she bought the least expensive stocking stuffers she couldfind, the bill was high. Of course, both a 15 percent sales tax and a 5 percent luxury tax wereadded to the original price. She paid a total of Rs.100. What was the cost of the stuffers before taxes?
A.82.333rupees
B.83.333rupees
C.84.333rupees
D.85.333rupees
Answer: B.83.333rupees
Explanation: let the cost before taxes=x
x+15x/100+5x/100=100
120x/100=100
x=83.333rupees
ANSWER:B
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 9 years hence?
A.22
B.77
C.78
D.98
Answer: C.78
Explanation: A + B = 60, A = 2B
2B + B = 60 => B = 20 then A = 40.
9 years, their ages will be 49 and 29.
Sum of their ages = 49 + 29 = 78.
Answer: C
Question: x and y are positive integers of h. If 1/x + 1/y < 2, which of the following must be true?
A. x + y > 4
B. xy>1
C. x/y + y/x < 1
D. (x - y)^2 > 0
Answer: B. xy>1
Explanation: Answer is B:
1/X + 1/Y < 2
The maximum value of 1/X is 1 because if X equals any other number greater than one it will be a fraction. The same is true with 1/Y.
So 1/X and 1/Y will always be less than 2 as long as both X and Y are not both equal to one at the same time.
Another way of putting it is:
X*Y>1.B
Question: Find the odd man out. 24,36,52,72,96
A.72
B.52
C.36
D.24
Answer: B.52
Explanation: Explanation :
All except 52 are multiples of 6. Answer : Option B
Question: 20. A certain church bell rings the bell twice at half past the hour and four
times at the hour plus an additional number of rings equal to what ever
time it is. How many rings will the clock make from 6:20 in the morning
to 08:10 in the morning?
A.27
B.36.
C.42.
D.46.
Answer: A.27
Explanation: @ 6:30 - 2
@ 7 - 4+7 =11
@ 7:30 - 2
@ 8 - 12
totals to A=27
Question: Ben left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change?
A.40
B.200
C.266
D.267
Answer: D.267
Explanation: In order not to lose money because of the change Ben's total commission must beat least$75,000-$45,000=$30,000, so total sales must beat least$30,000/0.15=$200,000. Which means that he must makeat least$200,000/750=800/3=266.6 sales, so 267 sales.
Answer: D.
Question: A merchant sells an item at a 10% discount, but still makes a gross profit of 20 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount?
A.30%
B.40%
C.50%
D.60%
Answer: A.30%
Explanation: original SP = X
Cost =C
current selling price = .9x ( 10% discount)
.9x = 1.2C (20% profit)
x= 1.2/.9 *C
x= 4/3 C
Original selling price is 1.3C which is 30% profit
Answer A
Question: There are 13 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
A.17/52
B.14/39
C.12/31
D.9/23
Answer: B.14/39
Explanation: P(first stamp is different) = 8/13
P(second stamp is different) = 7/12
P(both stamps are different) = 8/13*7/12 = 14/39
The answer is B.
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?
A.108 sq.cm
B.112 sq.cm
C.116 sq.cm
D.120 sq.cm
Answer: D.120 sq.cm
Explanation: Explanation:
The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle =1/2 x base x height => 1/2 x 24 x 10 = 120 sq.cm
ANSWER IS D
Question: A dozen eggs and 10 pounds of apples are currently at the same price. If the price of a dozen eggs rises by 10 percent and the price of apples rises by 2 %. How much more will it cost to buy a dozen eggs and 10 pounds of apples.
A.2%
B.6%
C.10%
D.12%
Answer: B.6%
Explanation: Say currently both a dozen eggs and 10 pounds of apples cost $50 (they are at the same price). So, to buy a dozen eggs and 10 pounds of apples we need $100.
After the increase, the price of a dozen eggs will be $55 and the price of 10 pounds of apples will be $51. So after the increase, to buy a dozen eggs and 10 pounds of apples we'll need $106.
Increase = 6%.
Answer: B
Question: A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 50,000 and at the same time n is a perfect square and a perfect cube?
A.3
B.4
C.5
D.6
Answer: D.6
Explanation: If n is a perfect square and a perfect cube, then n = a^6 for some integer a.
The numbers are 1^6=1, 2^6=64, 3^6= 729, 4^6=4096, 5^6=15,625, 6^=46,656.
The answer is D.
Question: (4+√3+√5)^2-(√3+√5)^2=?
A.1+2√3+2√5
B.16+8√3+8√5
C.1-√3+√5
D.1+√3-√5
Answer: B.16+8√3+8√5
Explanation: (4+√3+√5)^2-(√3+√5)^2
(4+√3)^2 + 5 +2 (4+√3) (√5) - ( 3 +5 + 2√3√5)
16+ 3+ 8√3 +5 +8 √5 + 2 √15 - 3-5 -2√15
16+8√3+8√5
B is the answer
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
A.53.33
B.54.68
C.55
D.56
Answer: B.54.68
Explanation: Explanation:
Required average = (55 × 50 + 60 × 55 + 45 × 60/55 + 60 + 45)
= (2750 + 3300 + 2700/160)
= 8750/160
= 54.68
Answer: B
Question: A car was initially traveling at an average speed of 36 miles per hour. During each of ten successive 5-minute intervals, the car decreased its average speed by 2 miles per hour. How many miles did the car travel in the fourth 5-minute interval?
A.1.32
B.5.32
C.4.56
D.2.33
Answer: D.2.33
Explanation: The question does not specifically mentioned whether 36miles/h is the speed in first interval or before that... So I got confused.
If former is the case, then average speed of the car in 4th interval will be 28. This gives 28 * (5/60) = m = 2.33 miles
correct option is D
Question: The average of 7 consecutive numbers is 20. The largest of these numbers is
A.20
B.22
C.23
D.24
Answer: C.23
Explanation: Let the first number be x, Then the last number is ( x+6)
Average = (x+(x+1)+(x+2)+(x+3)+(x+3)+(x+4)+(x+5)+(x+6))/7 = 20
7x + 21 = 20*7 = 140, 7x =119, x = 17
The largest number =x+6 =17+6 = 23
ANSWER:C
Question: A combustion reaction forms carbon dioxide. A carbon dioxide molecule contains one carbon and two oxygen atoms. If, over a period of 15 minutes, a combustion reaction creates 15,000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute?
A.1,000
B.500
C.250
D.50
Answer: A.1,000
Explanation: Solution:
15,000 carbon dioxide molecules are created over a period of 15 minutes. Therefore 15,000/15 = 1,000 carbon dioxide molecules are created on average per minute
Each carbon dioxide molecule contains one carbon atom and two oxygen atoms. So 1,000 carbon dioxide molecules contain 1 × 1,000 = 1,000 carbon atoms and 2 × 1,000 = 2,000 oxygen atoms. The difference is 2,000 – 1,000 = 1,000.
The correct answer is A.
Question: Twenty four men can do a work in 14 days. How many men are required to complete the work in 10 days?
A.33.6
B.10.12
C.50
D.14.2
Answer: A.33.6
Explanation: A
33.6
We have M1 D1 = M2 D2
So, 24 * 14 = M2 * 10 => M2 = 33.6.
Answer is A
Question: In five football games thus far this season, Barry has run for 98, 107, 85, 89, and 91 yards. At a minimum, how many yards Q will he need to gain this Sunday if he wants to keep his season average above 100 yards?
A.101
B.116
C.130
D.Q=131
Answer: D.Q=131
Explanation: Sorry Q=141 the answer is D.
Question: Three unbiased coins are tossed. What is the probability of getting 1 heads and 1 Tail?
A.3/4
B.1/4
C.3/8
D.7/8
Answer: B.1/4
Explanation: Let, H --> Head , T --> Tail
Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}
Let E = event of getting 3 heads
Then E = {THT, HTH }
P(E) = n(E)/n(S) =2/8 = 1/4
Answer is B
Question: Starting with the initial speed of 30 km/hr, the speed is increased by 4 km/hour every two hours. How many hours will it take to cover a distance of 288 km?
A.4
B.6
C.12
D.8
Answer: D.8
Explanation: Hour Speed (km/h) Distance travelled (in km)
=2x30=60
=2x34=68
=2x38=76
=2x42=84
=2+2+2+2=8
=60+68+76+84=288
Hence, the required time = 8 hours
Answer D
Question: A is twice as good a workman as B and together they finish a piece in 18 days. In how many days will A alone finish the work?
A.15 days
B.3 days
C.12 days
D.27 days
Answer: D.27 days
Explanation: Sol. (A’s 1 day’s work):)(B’s 1 days work) = 2 : 1.
(A + B)'s 1 day's work = 1/18
Divide 1/18 in the ratio 2 : 1
A’s 1 day's work =(1/18*2/3)=1/27
Hence, A alone can finish the work in 27 days.
Ans: D
Question: List R contains five numbers that have an average value of 50. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?
A.18
B.22
C.26
D.30
Answer: B.22
Explanation: The middle number is 50.
Let the smallest number be x. Then the largest number is 2x+20.
To make x as small as possible, let's make the remaining numbers as large as possible.
So the second largest = the largest = 2x+20.
The second smallest should be equal to the median.
The numbers are x, 50, 50, 2x+20, 2x+20.
x + 50 + 50 + 2x + 20 + 2x + 20 = 5*50 = 250
5x = 110
x = 22
The answer is B.
Question: Set Q consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set Q by 50, set Y is derived by multiplying each term in set Q by 1.5, and set Z is derived by dividing each term in set Q by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?
A. X, Y, Z
B. X, Z, Y
C. Y, Z, X
D. Y, X, Z
Answer: D. Y, X, Z
Explanation: Set Q - {2, 4, ..., 100};
Set X - {-48, -46, ..., 50};
Set Y - {3, 6, ..., 150};
Set Z - {-2/4, -4/4, ..., -100/4} = {-1/2, -1, -3/2, ..., -25}.
If we add or subtract a constant to each term in a set the SD will not change, so sets Q and X will have the same SD.
If we increase or decrease each term in a set by the same percent (multiply by a constant) the SD will increase or decrease by the same percent, so set Y will have 1.5 times greater SD than set Q and set Z will have 4 times less SD than set Q (note SD can not be negative so SD of Z wil be SD of Q divided by 4 not by -4).
So, the ranking of SD's in descending order is: Y, Q=X, Z.
Answer: D.
Question: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago?
A.8
B.10
C.9
D.14
Answer: C.9
Explanation: Let's say
Age of Richard is "R"
Age of David is "D"
Age of Scott is "S"
Now
Richard is 6 years older than David,
i.e. R = D +6
David is 8 years older than Scott
i.e. D = S +8
If in 8 years, Richard will be twice as old as Scott
i.e. R+8 = 2x(S+8)
i.e. R+8 = 2S + 16
i.e. R = 2S+8
But R = D+6 = (S+8)+6 = S+14
therefore, 2S + 8 = S +14
i.e. S = 6
i.e. R = 20
i.e. D = 14
Now,
how old was David 5 years ago?
i.e. D-5 = 14-5 = 9 years
ANSWER:C
Question: A and B started a business by investing Rs.4000/- and Rs.5000/- respectively. Find the A’s share out of a total profit of Rs.1800:
A.Rs.600/-
B.Rs.660/-
C.Rs.800/-
D.Rs.820/-
Answer: C.Rs.800/-
Explanation: A = Rs.4000/-
B = Rs.5000/-
A share 4 parts & B share 5 parts
Total 9 parts -----> Rs.1800/-
----> 1 part -------> Rs.200/-
A share = 4 parts -----> Rs.800/-
C
Question: There are 6 people and 3 chairs. In how many different ways people can occupy the chairs?
A.330
B.340
C.350
D.360
Answer: D.360
Explanation: number of ways = 6*5*4*3 = 360
Answer is D
Question: How many 3 digit integers can be chosen such that none of the digits appear more than twice and none of the digits equal zero ?
A.729
B.720
C.648
D.640
Answer: B.720
Explanation: number of ways without restriction = 9*9*9 = 729
number of ways that break restriction = 9*1*9 = 9
so the answer is 729-9 = 720
ANS:B
Question: Before 4 years, dog A’s age was 4 times of dog B’s age and after 4 years, dog A’s age will be 3 times of dog B’s age. What is the difference of dog A’s age and dog B’s now?
A.36
B.42
C.52
D.60
Answer: C.52
Explanation: A - 4 = 4(B - 4) --> A - 4B = -12.............1
A + 4 = 3(B + 4) --> A - 3B = 8.............2
(2) - (1) --> B = 20 --> A = 3(24) = 72
A - B = 72 - 20= 52
Answer: C
Question: If x + y = 9 and x – y = 3, then x^2 - y^2 =
A.-4
B.4
C.10
D.27
Answer: D.27
Explanation: The fastest approach has already been shown. Here's one more option.
Given:
x + y = 9
x – y = 3
Add the two equations to get: 2x = 12, which means x = 6
If x = 6, we can plug that value into either equation, to conclude that y = 3
If x = 6 and y = 3, then x² - y² = 6² - 3² = 27
Answer: D
Question: If candy bars that regularly sell for $0.40 each are on sale at two for $0.75, what is the percent reduction in the price of two such candy bars purchased at the sale price?
A.2 1/2 %
B.6 1/4 %
C.6 2/3 %
D.8%
Answer: B.6 1/4 %
Explanation: Regular price is $0.80, sales price is $0.75.
So, 80-(80 * x%)=75
5 = 80*x%
x% = 5/80 = 1/16 = 6.25%
ANSWER:B
Question: The ages of two persons differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages.
A.14 years
B.17 years
C.24 years
D.29 years
Answer: A.14 years
Explanation: Solution
Let the age of the younger person be x years.
Then, age of the elder person	= (x + 16) years.
Therefore	‹=› 3 (x - 6) =(x + 16 - 6)
‹=› 3x-18 = x+10
‹=› 2x = 28
x= 14 years.
Answer A
Question: The present ages of three persons in proportions 2 : 2 : 6. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
A.8, 20, 28
B.16, 16,48
C.20, 35, 45
D.18, 24, 32
Answer: B.16, 16,48
Explanation: Explanation:
Let their present ages be 2x, 2x and 6x years respectively.
Then, (2x - 8) + (2x - 8) + (6x - 8) = 56
10x = 80
x = 8
Their present ages are 2x = 16 years,2x = 16 years and 6x = 48 years respectively.
Answer: B
Question: Find the sum of first 100 odd numbers
A.5500
B.2005
C.10000
D.5800
Answer: C.10000
Explanation: Explanation:
n2 = 1002 = 10000
Answer: Option C
Question: A can do a piece of work in 5 days, and B can do it in 6 days. How long will they take if both work together?
A.2 8/11
B.2 8/198
C.2 8/7
D.2 8/18
Answer: A.2 8/11
Explanation: Sol. A’s 1 day’s work =
1
th
5
part of whole work and
B’s 1 day’s work =
1
th
6
part of whole work
? (A + B)’s one day’s work =
1 1 11 5 6 30 th part of whole work. So, both together will finish the work in 30 days 2 8/ 11 days.
Answer:A
Question: Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 5.5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
A.14/15
B.15/14
C.4/5
D.42/55
Answer: D.42/55
Explanation: Average Speed of Jack =Distance/ Time
= 42 /(11/2) = 84/11
Average Speed of Jill = 42/(4.2) = 10
Ratio of Average speed of Jack to Jill = (84/11)/10 = 84/110 = 42/55
Answer D
Question: A sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $750?
A.$3,000
B.$3,150
C.$4,000
D.$4,150
Answer: C.$4,000
Explanation: We're told that a sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. We're asked how many dollars’ worth of sales will bring her total weekly income to $750.
Since the salesperson receives a $150 salary, the remaining $600 has to be accounted for by the 15% commission. Since those numbers are rather specific, we're likely dealing with a 'round number' for total sales.
Let's TEST Answer C: $4,000
Since 15% of $1,000 = $150
15% of $4,000 = 4($150) = $600
this is an exact MATCH for what we were told, so this MUST be the answer.
Final Answer:
C
Question: Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 31.5 kg of zinc has been consumed in it?
A.58 kg
B.60 kg
C.64 kg
D.70 kg
Answer: D.70 kg
Explanation: Sol.
For 9 kg Zinc, mixture melted = (9+11) kg.
For 31.5 kg Zinc, mixture, melted = [20/9 x 31.5] kg
= 70 kg.
Answer D
Question: In how many ways Chief Minister and Minister be elected from a team of 16 members?
A.240
B.210
C.220
D.200
Answer: A.240
Explanation: To do this, if captain is elected first, then we have 16 ways of doing this.
For election of vice-captain, we have only 15 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)
So, the ans is 16*15 = 240 ways.
A
Question: Using all the letters of the word "SOME", how many words can be formed, which begin with S and end with E?
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: There are four letters in the given word.
Consider 4 blanks ....
The first blank and last blank must be filled with S and E all the remaining two blanks can be filled with the remaining 2 letters in 2! ways.
The number of words = 2! = 2.
ANSWER:A
Question: In 140 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
A.20 m
B.28 m
C.22.5 m
D.9 m
Answer: B.28 m
Explanation: Distance covered by B in 9 sec. =	140/45 x 9	m = 28 m.
A beats B by 28 metres.
Answer: Option B
Question: If the money was put in for the same duration of time by A,B and C, three business partners and four times A’s capital is equal to 6 times B’s capital is equal to 10 times C’s capital. Determine that out of a total profit of Rs 4650 what is C’s share?
A.Rs 2250
B.Rs 1550
C.Rs 450
D.Rs 900
Answer: D.Rs 900
Explanation: Explanation:
It is given that business partnership is independent of time in this case as all the investors have invested their money for same amount of time.
Let A’s capital be x, B’s capital be y and C’s capital be z.
=>x+y+z = 4650
=> 4x = 6y = 10z
=>C’s share is z so let us solve the question w.r.t. z
=>x = 5z/2
=>y = 5z/3
=>(5z/2)+(5z/3)+(z) = 4650
=>31z = 4650*6
=>z = 900
ANSWER D
Question: If the quantity (p + 5) is 5 times the quantity (q + 5), then what is the relationship between p and q?
A.p = 5q + 30
B.p = 5q − 30
C.5p = 5q + 20
D.p = 5q
Answer: C.5p = 5q + 20
Explanation: p+5=5(q+5)
p+5=5q+25
p=5q+20
option C
Question: A man spends 2/5 of his salary on house rent,3/10 of his salary on food and 1/8 of his salary on conveyance.if he has Rs.1400 left with him,find his expenditure on food and conveyance.
A.1000
B.2000
C.3000
D.4000
Answer: A.1000
Explanation: Part of salary left=1-(2/5+3/10+1/8)
Let the monthly salary be Rs.x
Then, 7/40 of x=1400
X=(1400*40/7)
=8600
Expenditure on food=Rs.(3/10*800)=Rs.2400
Expenditure on conveyence=Rs.(1/8*8000)=Rs.1000
Answer is A.
Question: At a conference table, 8 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 8 employees?
A.5060
B.5050
C.5060
D.5040
Answer: D.5040
Explanation: Head's sit is fixed. Now 7 people is left with 7 seats.
7 people can sit on 7 seats in 7! ways or 5040 ways.
Ans is D
Question: A circular mat with diameter 7 inches is placed on a square tabletop, each of whose sides is 8 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
A.6/7
B.4/9
C.5/2
D.5/3
Answer: C.5/2
Explanation: SO we are looking for the area of the cloth over the area of the table
Area of the Cloth = (pi)(r)^2 which is about (22/7)(7)(7)
Area of the Table = (8)(8)
So the quick way to estimate is looking at the fraction like this:154/64 nearest to 5/2
Answer: C
Question: The value of x + x(xx) when x = 5 is:
A.130
B.10
C.12
D.14
Answer: A.130
Explanation: x + x(xx)
Put the value of x = 5 in the above expression we get,
= 5 + 5(5 Ã— 5)
= 5 + 125
= 130
ANSWER : A
Question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
A.8 1/3
B.8 1/5
C.8 1/6
D.8 1/2
Answer: A.8 1/3
Explanation: (4000*3*R)/100 = (5000*5*4)/100
R = 8 1/3.Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
A.25
B.24
C.26
D.27 7/9
Answer: D.27 7/9
Explanation: Relative speed = (40 - 20) = 20 km/hr.
= 20 * 5/ 18 = 50/9 m/sec.
Length of faster train = 50/9 * 5 = 250/9 = 27 7/9 m.
Answer: Option D
Question: 252 Ã· ? Ã— 15 + 270 = 405
A.24
B.25
C.28
D.39
Answer: C.28
Explanation: Explanation:
252 Ã· ? Ã— 15 = 405 - 270 = 135
(252 Ã— 15)/? = 135
? = (252 Ã— 15)/135 = 28
Answer: Option C
Question: A fair 2 sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not more than 4 times?
A.25/32
B.13/4
C.17/8
D.57/64
Answer: A.25/32
Explanation: at least twice, but not more than 5 timesmeans exactly 2 times, 3 times, 4 times
The probability of getting exactly k results out of n flips is nCk/2^n
6C2/2^6+6C3/2^6+6C4/2^6=(20+15+15)/2^6=25/32
Option: A