RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A straight fence is to be constructed from posts 5 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following couldnotbe the length of the fence in feet? (12 inches = 1 foot)
A.17
B.28
C.34
D.39
Answer: C.34
Explanation: The fence begins and ends with a post: {post = 0.5 feet}{chains = 5 feet}{post = 0.5 feet}...{chains = 5 feet}{post = 0.5 feet}
The minimum length is with 2 posts = 0.5 + 5 + 0.5 = 6 feet. To increase the fence, each time we should add{post = 0.5 feet}{chains = 5 feet}, so 5.5 feet. Thus, the lengths could be:
6 feet;
5 + 5.5 = 10.5 feet;
11.5 + 5.5 = 16 feet;
17 + 5.5 = 21.5 feet;
22.5 + 5.5 = 27 feet;
28 + 5.5 = 32.5 feet;
33.5 + 5.5 = 38 feet.
...
We skipped 34 feet.
Answer: C.
Question: How many arrangements of the letters of the word DEFEATED are there in which the three E are separated?
A.840
B.750
C.770
D.760
Answer: A.840
Explanation: Total arrangements-Three E's together-Exactly Two E's together
Total arrangement= 8!/3!2!
Three E's together= 6!/2!
Exactly Two E's together= Two E's together - Three E's together = 7!/2!−6/!2!=6∗6!/2!
8!/3!2!−6!/2!−6∗6!/2!
8!/3!2!−7!/2!=7!/2!∗13=840
Ans: "840"	A
Question: In the coordinate plane, points (x, 1) and (18, y) are on line k. If line k passes through the origin and has slope 1/2, then x + y =
A. 4.5
B. 7
C. 8
D. 11
Answer: D. 11
Explanation: Line k passes through the origin and has slope 1/2 means that its equation is y=1/2*x.
Thus: (x, 1)=(2, 1) and (18, y) = (18,9) --> x+y=2+9=11.
Answer: D.
Question: David obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Physics, Chemistry and Biology.What are his average marks?
A.65
B.69
C.72
D.75
Answer: D.75
Explanation: add all those marks and divide it by 5 becz they gave us 5 subjects for finding average marks we need to divide them
add them 76+65+82+67+85/5=375/5=75
ANSWER:D
Question: In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
A.6!/2!
B.3!*3!
C.4!/2!
D.4! *3!/2!
Answer: D.4! *3!/2!
Explanation: In the word ABACUS , there are 3 vowels - 2 A's and U
Number of ways the letters of word ABACUS be rearranged such that the vowels always appear together
= (4! * 3! )/2!
We can consider the the 3 vowels as a single unit and there are 3 ways to arrange them . But since 2 elements of vowel group are identical we divide by 2! .
The entire vowel group is considered as a single group .
Answer D
Question: The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 50% more than the price of the other, what is the price of each of these two oranges?
A.Rs 5, Rs 7.50
B.Rs 10.4, Rs 15.6
C.Rs 10, Rs 16
D.Rs 12, Rs 14
Answer: B.Rs 10.4, Rs 15.6
Explanation: Explanation :
Total price of the two oranges = Rs. [(12 x 10) (11.75 x 8)]
= Rs. (120 - 94) = Rs. 26.
Let the price of one orange be Rs. x.
Then, the price of other orange = Rs. (x + 50% of x) = Rs. x + 1/2x = Rs. 3x/2
So, x + 3x/2 = 26
5x = 52
x = 10.4
The prices of the two oranges are Rs. 10.4 and Rs. 15.6
Answer : B
Question: 4!/(4-3)!=?
A.24
B.34
C.35
D.36
Answer: A.24
Explanation: 4!/(4-3)!=4!/1!=4*3*2=24. Hence, the correct answer is A.
Question: A chain smoker had spent all the money he had. He had no money to buy his cigarettes. Hence, he resorted to join the stubs and to smoke them. He needed 4 stubs to make a single cigarette. If he got a pack of 10 cigarettes as a gift, then how many cigarettes could he smoke in all?
A.10
B.11
C.12
D.13
Answer: D.13
Explanation: Explanation :
10 cigarettes will produce 10 stubs.
Since, out of 10 cigarettes,
=>8 cigarettes' stubs gives 2 cigarette and, 2 stubs are still left.
=>these 2 gigarette will give 2 stubs.
Now, he will make 1 more cigarette by using 2stubs + 2 stubs.
Hence, total number of cigarettes will be 10 + 2 + 1 i.e 13.
Answer : D
Question: Score Interval Number of Scores
50-59 2
60-69 10
70-79 14
80-89 27
90-99 18
The table shows a distribution of test scores. Which score interval contains the median of the 71 scores?
A.a) 60-69
B.b) 70-79
C.c) 80-89
D.d) 90-99
Answer: C.c) 80-89
Explanation: 36th person
80-89 C
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
A.91.5
B.92
C.93
D.94
Answer: A.91.5
Explanation: Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 21) + 2(21)
= 49.5 + 42 = 91.5 cm
Answer: Option A
Question: If a truck is traveling at a constant rate of 36 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
A.18
B.24
C.60
D.36
Answer: C.60
Explanation: Speed =36 Km/hr => 36,000 m/hr
In one minute => 36000/60 = 600 meters
In one sec => 600/60 = 10 meters
Time = Total distance need to be covered / Avg. speed
=> 600/ 10 =60 and hence the Answer : C
Question: A fast food company plans to build 4 new restaurants. If there are 14 sites that satisfy the company's criteria for location of new restaurant, in how many different ways can company select the 4 sites needed for the new restaurant if the order of selection doesn't matter.
A.1001
B.495
C.364
D.2002
Answer: A.1001
Explanation: The number of ways of choosing 4 sites out of 14 are counted by = 14C4 ways = 1001
Answer: Option A
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
A.229
B.277
C.202
D.540
Answer: D.540
Explanation: A+B+C = 1170
4A = 3B = 2C = x
A:B:C = 1/4:1/3:1/2 = 3:4:6
6/13 * 1170 = Rs.540
Answer:D
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
A.338
B.2677
C.288
D.285
Answer: D.285
Explanation: Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5
SP = CP[(100 + profit%)/100]
= 237.5 * [(100 + 20)/100] = Rs. 285.
Answer: D
Question: A man purchases 2 watches for $ 900. He sells one at 10% loss and the other at a profit of 20%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
A.$ 900 and $ 300
B.$600 and $ 900
C.$900 and $450
D.$600 and $300
Answer: D.$600 and $300
Explanation: x + y = 900 --- (1)
0.90x + 0.80y = 900--- (2)
(2) - (1) --> -.10x +.20y = 0
10x = 20y
x/y = 2/1 = (2*300)/(1*300) = 600/300
Answer: D
Question: If a man reduces the selling price of a fan from 400 to 380 his loss increases by 20% .What is the cost price of fan
A.300
B.400
C.500
D.600
Answer: C.500
Explanation: increase in loss=20%
consider loss is x initially, so final loss will increase by .2x which is equal to 20.
.2x=20
x=100,
so total cost =selling price +loss=400+100=500.
so ans is 500.
ANSWER:C
Question: John and Steve are speed walkers in a race. John is 10 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push?
A.13 seconds
B.17 seconds
C.24 seconds
D.34 seconds
Answer: C.24 seconds
Explanation: Let t be the time that John spent for his final push.
Thus, per the question,
4.2t = 3.7t+10+2 ---> 0.5t = 12 ---> t = 24 seconds.
C is the correct answer.
Question: The length of rectangle is thrice its breadth and its perimeter is 56 m, find the area of the rectangle?
A.432
B.252
C.299
D.276
Answer: B.252
Explanation: 2(3x + x) = 96
l = 36 b = 7
lb = 36 * 7
= 252
B
Question: There are different 5 circles. What is the number of the greatest possible points with which the circles intersect?
A.20
B.10
C.15
D.22
Answer: A.20
Explanation: Maximum points of intersection between n different circles = n*(n - 1) = 5*4 = 20
Answer: A
Question: The speed of a boat in still water is 10 km/hr. If it can travel 78 km downstream and 42 km upstream in the same time, the speed of the stream is
A.3 km/hr
B.12 km/hr
C.1.5 km/hr
D.4.4 km/hr
Answer: A.3 km/hr
Explanation: Explanation :
Let the speed of the stream be x km/hr. Then
Speed upstream = (10-x) km/hr
Speed downstream = (10+x) km/hr
Time taken to travel 78 km downstream = Time taken to travel 42 km upstream
=> 78/(10+x) = 42/(10−x)
=> 26/(10+x) = 14/(10−x)
=>13/(10+x) = 7/(10−x)
=>130 − 13x = 70 + 7x
=>20x = 60
=> x = 3 km/hr
Answer : Option A
Question: If m and n are positive integers and m^2 + n^2 = 20, what is the value of m^3 + n^3?
A.72
B.224
C.320
D.512
Answer: A.72
Explanation: You need to integers which squared are equal 20.
Which could it be ? Let's start with the first integer:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
Stop. The integers can't be greater than 4 or we will score above 20.
The second integer need to be picked up the same way.
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
The only pair that matches is 4^2 + 2^2 = 20.
So 4^3 + 2^3 = 72.
Answer A.)
Question: If 144/x is an integer and 72/x is an integer, which of the following must be true?
I. 9/x is an integer.
II. 12/x is an integer.
III. 36/x is an integer.
A.I, II, and III
B.I and II only
C.III only
D.II and III only
Answer: C.III only
Explanation: The largest possible value of x is 36 (the greatest common factor of 144 and 72), and if x=36 then
C
Question: There are 16 cans in the refrigerator. 9 of them are red and 7 of them are blue. In how many ways we can remove 10 cans so that at least one red and at least one blue cans to remain the refrigerator.
A.460
B.490
C.833
D.455
Answer: C.833
Explanation: Ways to pick 6 cans so that at least one red and at least one blue cans to remain the refrigerator =
total ways to pick 6 can out of 12 - ways to pick 6 red out of 7 red - ways to pick 6 blue out of 5 blue
12C6âˆ’9C6âˆ’7C6=924âˆ’84âˆ’7=833
ANSWER:C
Question: This is a famous probability puzzle in which you have to choose the correct answer at random from the four options below.
Can you tell us whats the probability of choosing correct answer in this random manner.
A.0%
B.2%
C.3%
D.6%
Answer: A.0%
Explanation: A
0%
Explanation:
1) why cant be 1/4 : If the answer is 1/4, then as we know two out of four answer choices is '1/4', the answer has be 1/2.
This is a contradiction, so the answer cannot be 1/4.
2) why cant be 1/2 : If the answer is 1/2 then because answer:"1/2" is 1 out of 4 answer choices, the answer must be 1/4. This is also a contradiction. So the answer cannot be 1/2.
3) why cant be 1 : If the answer is 1 then because answer:"1" is 1 out of 4 answer choices, the answer must be 1/4. Again the same contradiction and therefore answer cannot be 1.
Question: If a card is randomly drawn from a well shuffled pack of cards, what is the probability of drawing a club or a red jack?
A.7/13
B.4/7
C.15/52
D.9/13
Answer: C.15/52
Explanation: There are 13 clubs and 2 red jacks.
P(club or red jack) = 15/52 = 15/52
The answer is C.
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
A.Rs.429
B.Rs.480
C.Rs.429
D.Rs.128
Answer: B.Rs.480
Explanation: SP = 800
Profit = 25%
CP = (SP)*[100/(100+P)]
= 800 * [100/125]
= 640
Loss = 25% = 25% of 640 = Rs.160
SP = CP - Loss = 640 - 160
= Rs.480
Answer:B
Question: The average price of an antique car increases over the years. If from 1990 to 1996, the price of the car increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the car in 2001 if the price in 1990 was $11,500?
A.$15,594
B.$15,322.
C.$14,786
D.$14,543
Answer: A.$15,594
Explanation: price of the car in 1990 = $11500
from 1990 to 1996
increase = 13%
which is (13*115)
price of the car in 1996= $12995
from 1996 to 2001
increase = 20 %
which is (12995)/5 =2599
price of the car in 2001 = 15594
ANSWER:A
Question: If a dealer wants to earn 20% profit on an article after offering 30% discount to the customer, by what percentage should he increase his marked price to arrive at the label price?
A.71 3/7%
B.50%
C.75%
D.60 2/3%
Answer: A.71 3/7%
Explanation: Profit = 20%
discount = 30%
Required answer = (20+30 / 100-30)*100 = 71 3/7 %
Answer is A
Question: The area of a square is equal to five times the area of a rectangle of dimensions 36 cm * 20 cm. What is the perimeter of the square?
A.289 cm
B.800 cm
C.829 cm
D.240 cm
Answer: D.240 cm
Explanation: Area of the square = s * s
= 5(36 * 20)
=> s = 60
= 60 cm
Perimeter of the square
= 4 * 60
= 240 cm.
Answer: D
Question: Three dwarves and three elves sit down in in the row of six chairs. If no dwarf will sit next to another dwarf and no elf will sit next to another elf, in how many different ways can the elves and dwarves sit.
A.72
B.74
C.76
D.78
Answer: A.72
Explanation: The elves and dwarves must alternate:
e d e d e d or d e d e d e
Considering the first case, the total number ways is to rotate the elves 3! times while keeping the dwarves to one combination. Then rotate the dwarves 3! times while keeping the elves to one combination.
However, that is only for the first case. We must multiply by 2 as we need to account for the second case.
Total = 3! * 3! * 2 = 72
ANS:A
Question: Find the value of x from the below equation? : 3x^2+6x+3 = 0
A.-5/6
B.5/6
C.5
D.6
Answer: A.-5/6
Explanation: a = 3, b = 6, c = 3
x1,2 = (-5 Â± âˆš(6^2 - 4Ã—3Ã—3)) / (2Ã—3) = (-5 Â± âˆš(36-36)) / 6 = (-5 Â± 0) / 6
x1 = X2 = -5/6
A
Question: You collect coins. Suppose you start out with 11. Since you're nice, you give Sharon 3 coins. Since you're nice, you give Steven 4 coins. How many coins do you have at the end?
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: Solution
Start with 11 coins.
Sharon takes 3 coins from you: 11 - 3 = 8 coins.
Steven takes 4 coins from you: 8 - 4 = 4 coins.
So you have 4 at the end.
Correct answer : C
Question: At night a man who is 6 feet tall stands 5 feet away from a lamppost. The lamppost’s lightbulb
is 16 feet above the ground. How long is the man’s shadow?
A.15/8 feet
B.3 feet
C.10/3 feet
D.4 feet
Answer: C.10/3 feet
Explanation: Let x be the length of the man’s shadow. Considering similar triangles we get
x/x + 5
=
6/16
correct answer C
Question: At what price must an Book costing $47.50 be marked in order that after deducting 8% from the list price. It may be sold at a profit of 25% on the cost price?
A.72.5
B.64.5
C.62.5
D.82.5
Answer: B.64.5
Explanation: C
$62.50
CP = 47.50
SP = 47.50*(125/100) = 59.375
MP*(92/100) = 59.375
MP = 64.5
B
Question: In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr?
A.2.55 sec
B.2.9 sec
C.1.3 sec
D.3.75 sec
Answer: D.3.75 sec
Explanation: Speed = 144 * 5/18
= 40 m/sec
Time taken = 100/40
= 3.75 sec.
Answer:D
Question: Find the value of sin 75° + sin 15° = ?
A.0
B.1/2
C.1
D.3/2
Answer: C.1
Explanation: sin A + sin B = 2 sin [ (A + B) / 2 ] cos [ (A - B) / 2 ]
=2 sin [ (75 +15) / 2 ] cos [ (75 - 15) / 2 ]
=2 sin90cos60=2*1*(1/2)=1
ANSWER:C
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. What is the market value of each share?
A.15
B.18
C.12
D.17
Answer: A.15
Explanation: Face value of each share = Rs.20
Dividend per share = 9% of 20 = 9×20/100=9/5
He needs to have an interest of 12% on his money
ie, Money Paid for a share×12/100=9/5
Money Paid for a share=9/5×100/12=15
ie, Market Value of the share = Rs.15
Answer is A.
Question: What is the distance from (–7, 2) to (5, –3)?
A.10
B.11
C.12
D.13
Answer: D.13
Explanation: solutions
Suppose we made a right triangle, as in the example above. The difference in the x-coordinates is (–7) – 5 = –12, so the horizontal leg would have a length of 12 (length has to be positive). The difference in the y-coordinates is 2 – (–3) = 5, so this is the length of the vertical leg. We recognize that we have a common Pythagorean triplet, so we don’t even need to perform a calculation: we know the length of the hypotenuse, and hence, the distance between the two points, is 13. Answer = D
Question: In an athletic event with N participants, if 1/5 could not complete 100 meter race within cut off time of 10 seconds. And of those who didnt clear 100 meter race within cut off time, 1/3 also did not qualify in long jump. How many athletes cleared both events ?
A.N/15
B.4N/15
C.14N/15
D.N/5
Answer: C.14N/15
Explanation: 1/5 did not clear running event, thus N/5 did not clear.
Of those who didnt clear running event, 1/3 also did not clear long jump event, thus 1/3*N/5 = N/15 had both not cleared both events.
Therefore, N - N/15 = 14N/15 cleared both events.
Answer: C.
Question: Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b &c then c & a at last abc, the last weight was 167,then what will be the average weight of the 7 reading?
A.32
B.92
C.94
D.95
Answer: D.95
Explanation: avg=A+B+C+(A+B)+(B+C)+(C+A)+(A+B+C)/7
Now,4A+4B+4C/7
=4(167)/7 (GIVEN ABC=167)
=95.43
ANSWER:D
Question: How many prime numbers n exist such that 90 < n < 106 and n is a factor of 99999919?
A.Zero
B.One
C.Two
D.Three
Answer: C.Two
Explanation: There are 3 primes in the range: 97, 101 and 103.
99,999,919=10^8−81=(10^4+9)(10^4−9)
=(10^4+9)(10^2+3)(10^2−3)
=10,009∗10^3∗97
97 and 103 are factors of 99,999,919 but 101 is not a factor of 10,009. Thus 2 primes from the range are factors of 99,999,919.
Answer: C.
Question: In an election between the two candidates ,The candidates who gets 60% of votes polled is winned by 280 votes majority. What is the total number of votes polled?
A.1400
B.1600
C.1800
D.2000
Answer: A.1400
Explanation: Note : majority (20 %) = difference in votes polled to win (60 %) & defeated candidates (40 %)
20 % = 60 % - 40 %
20% -----> 280 (20×14 = 280 )
100% -----> 1400 (100×14 = 1400)
A)
Question: A can complete a work in 15days and B can do the same work in 7days. If A after doing 3days, leaves the work, find in how many days B will do the remaining work?
A.2days
B.5 1/2 days
C.6 1/2 days
D.7 1/2days
Answer: B.5 1/2 days
Explanation: The required answer = (15-3)*7 / 15 = 84/15 = 5 1/2 days
Answer is B
Question: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is
A.8
B.9
C.13
D.15
Answer: D.15
Explanation: Solution
Let the three numbers be x, x+2, x+4
Then 3x = 2(x+4) + 3
‹=›x = 11
Third integer = x + 4 = 15.
Answer D
Question: A customer went to a shop and paid a total of $40, out of which $1.28 was for sales tax on taxable purchases. If the tax rate was 8%, then what was the cost of the tax free items?
A.$19.54
B.$2076
C.$21.36
D.$22.72
Answer: D.$22.72
Explanation: The total cost was $40.
The tax was $1.28
Let the original price of the taxable items = x
Given that tax rate = 8%
0.08x = 1.28
x = $16
The cost of the tax free items was $40 - $16 - $1.28 = $22.72
The answer is D.
Question: A reduction of 46% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
A.2.45
B.8.45
C.7.45
D.3.45
Answer: D.3.45
Explanation: Explanation:
40*(46/100) = 18.4 --- 64
? --- 12 => Rs.3.45
Answer: D
Question: If the cost price of 58 articles is equal to the selling price of 50 articles, then what is the percent profit?
A.12%
B.16%
C.20%
D.24%
Answer: B.16%
Explanation: Let x be the cost price of one article.
Let y be the selling price of one article.
50y = 58x
y = 1.16x
The answer is B.
Question: When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 727 more than 4times the middle integer. Find the numbers?
A.650
B.678
C.727
D.710
Answer: C.727
Explanation: x + 4 (x + 4) = 727 + 4 (x + 2)
Solve for x and find all three numbers
x + 4 x + 16 = 727 + 4 x + 8
x = 719
x + 2 = 721
x + 4 = 723
Check: the smallest is added to four times the largest
719 + 4 * 723 = 3611
four times the middle
4 * 721 = 2884
3611 is more than 2884 by
3611 - 2884 = 727
C
Question: Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
A.90 sec
B.30 sec
C.10 sec
D.70 sec
Answer: A.90 sec
Explanation: Let the length of each train be x m.
(x + x) / (60 + 30)5/18 = (750 * 18) / (30 * 5) = 90 sec.
Answer:A
Question: For a certain article, if discount is 25%, the profit is 25%. If the discount is 10%, then the profit is
A.10%
B.20%
C.35%
D.50%
Answer: D.50%
Explanation: For same article, 100−d1/100−d2=100+g1/100+g2
⇒ 100−25/100−10=100+25/100+g2 ⇒75/90=125/100+g2
⇒ 100 + g2 = 90×125/75 =150 ⇒ g2 = 50%
Answer D
Question: The sum of first five prime numbers is?
A.11
B.18
C.26
D.28
Answer: A.11
Explanation: Required sum = (2 + 3 + 5 + 7 + 11) = 28.
Note: 1 is not a prime number.
Definition: A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.
A)
Question: The sum of five consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?
A.248
B.240
C.228
D.236
Answer: B.240
Explanation: Let the five consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1) and 2(x + 2)
Their sum = 10x = 440
x = 44 => 2(x - 2) = 84
Second least number of the other set = 2(84) - 121 = 47
This set has its least number as 46.
Sum of the numbers of this set = 46 + 47 + 48 + 49 + 50
= 48 - 2 + 48 - 1 + 48 + 48 + 1 + 48 + 2 => 5(48) = 240
ANSWER:B
Question: A coin is tossed seven times. What is the probability that there is at the least one tail?
A.127/128
B.31/138
C.31/167
D.31/117
Answer: A.127/128
Explanation: Let P(T) be the probability of getting least one tail when the coin is tossed seven times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/128 ; P(T) = 1 - 1/128
= 127/128
Answer: A
Question: A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 10 seconds. Find the length of the train and its speed.
A.10 m/sec
B.15 m/sec
C.18 m/sec
D.19 m/sec
Answer: A.10 m/sec
Explanation: If length of train is l and speed of train is s, then
l/s = 10
(l+180)/s = 20
(l+180)/l = 20/10 =2
l+180 =2l
l= 180
l=180 mtrs
s= l/10 = 180/8 = 10 m/sec
ANSWER:A
Question: If m and n are whole numbers such that
mn=121
, the value of
(m−1)n+1 is
A.1
B.10
C.100
D.1000
Answer: D.1000
Explanation: Explanation:
We know that
(11)2=121
So, putting values in said equation we get,
(11−1)2+1=(10)3=1000
Option D
Question: In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what A percentage of those asked favoured more than one of the 3 proposals.
A. 10
B. 12
C. 17
D. 22
Answer: C. 17
Explanation: Bunuel, my answer for exactly 2 people was 17 and this was my approach:
100%=(A+B+C)-(AnB+AnC+BnC)-5%+22% which leads me to
A=100%=(50+30+20)-(at least 2 people)-5%+22%.C
Question: In the first 12 overs of a one day cricket game, the run rate was only 3 What should be the run rate in the remaining 38 overs of a one day match to reach the target of 282 runs?
A.4.47
B.5.47
C.6.14
D.6.47
Answer: D.6.47
Explanation: Runs scored in the first 12 overs = 12 × 3 = 36
Total runs = 282
Remaining runs to be scored = 282 - 36 = 246
Remaining overs = 38
Run rate needed = 246/38
=6.47
ANSWER:D
Question: A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 1881, What is the value of n?
A.22
B.38
C.114
D.122
Answer: C.114
Explanation: Factorise 1881.. 3*11*57..
So n has to be a multiple of largest prime number,61..
So n=2*57=114..
Ans :C
Question: Find the value of (X) in the given equation ?
35% of 1500 + X = 45% of 4200 – 320
A.ANSWER: 1049
B.ANSWER: 1048
C.ANSWER: 1041
D.ANSWER: 1045
Answer: D.ANSWER: 1045
Explanation: Explanation:
35% of 1500 + X = 45% of 4200 – 320
(35/100 * 1500) + X = (45/100 * 4200) – 320
525 + X = 1890 – 320
X = 1890 – 320 – 525
X = 1890 – 845
X = 1045
ANSWER:D