RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Nine family members: 5 grandchildren (3 brothers and 2 sisters) and their 4 grandparents are to be seated around a circular table. How many different seating arrangements are possible so that 2 sisters are seated between any two of the three brothers?
A.120
B.480
C.1440
D.2880
Answer: C.1440
Explanation: Consider two brothers and two sisters between them as one unit: {BSSB}.
So, now we have 6 units: {G}, {G}, {G}, {G}, {B}, and {BSSB}.
These 6 units can be arranged around a circular table in (6-1)!=5! ways.
Next, analyze {BSSB} unit:
We can choose 2 brothers out of 3 for the unit in C23=3C32=3 ways;
These brothers, within the unit, can be arranged in 2! ways: {B1,S,S,B2}{B1,S,S,B2} or {B2,S,S,B1}{B2,S,S,B1}
The sisters, within the unit, also can be arranged in 2! ways: {B,S1,S2,B}{B,S1,S2,B} or {B,S2,S1,B}{B,S2,S1,B}
Therefore, the final answer is 5!*3*2*2=1440.
Answer: C.
Question: When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 2/3 of the remaining balance, what will be the final balance in her bank account?
A.300
B.375
C.400
D.500
Answer: D.500
Explanation: As per the question 200=2a/5
thus- a which is the total amount =500
The amount thus left =300
She then deposited 2/3 of 300=200
total amount in her account =500
Answer D
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
A.11
B.25
C.7
D.88
Answer: B.25
Explanation: SP = CP + g
150 SP = 150 CP + 30 SP
120 SP = 150 CP
120 --- 30 CP
100 --- ? => 25%
Answer: B
Question: The mean of 50 observations is 200. But later he found that there is decrements of 9 from each observations. what is the the updated mean is ?
A.165
B.185
C.190
D.191
Answer: D.191
Explanation: 191
Answer is D
Question: A man rows his boat 78 km downstream and 50 km upstream, taking 2 hours each time. Find the speed of the stream?
A.76 kmph
B.6 kmph
C.14 kmph
D.7 kmph
Answer: D.7 kmph
Explanation: Speed downstream = d/t = 78/(2)
= 39 kmph
Speed upstream = d/t = 50/(2)
= 25 kmph
The speed of the stream = (39 - 25)/2
= 7 kmph
Answer:D
Question: The food in a camp lasts for 34 men for 56 days. If fourteen more men join, how many days will the food last?
A.80 days
B.30 days
C.65 days
D.40 days
Answer: D.40 days
Explanation: one man can consume the same food in 34*56 = 1904 days.
14 more men join, the total number of men = 48
The number of days the food will last = 1904/48
= 40 days.
Answer:D
Question: What is the CP of Rs 100 stock at 8 discount, with 1/5% brokerage?
A.92.9
B.96.3
C.92.2
D.96.7
Answer: C.92.2
Explanation: Explanation:
Use the formula,
CP= 100 â€“ discount + brokerage%
CP= 100-8+1/5
92.2
Thus the CP is Rs 92.2.
ANSWER: C
Question: Take number 1000 and then add 20 to it.
Now add 1000 one more time.
Now add 30.
Now add 1000 one more time.
Now add 40.
Now add 1000 one more time.
Now add 10.
What is the total?
A.4100
B.3870
C.5200
D.6230
Answer: A.4100
Explanation: A
4100
some people might guess 5000
Question: The edges of three metal cubes are 2 cm, 3 cm, and 4 cm respectively. A new cube is made by melting these three cubes together. What is the edge of the new cube (in centimeters)?
A.4.0
B.4.2
C.4.4
D.4.6
Answer: D.4.6
Explanation: The total volume is 2^3+3^3+4^3=99
The edge of the new cube is the cube root of 99 which is about 4.6 cm.
The answer is D.
Question: Each shelf of a bookcase contains 22 books. If the librarian took out 40 books and rearranged the remaining books so that all shelves but the last one contained 16 books and the last shelf contained 18 books, how many shelves does the bookcase have?
A.A)4
B.B)5
C.C)7
D.D)8
Answer: C.C)7
Explanation: Denoting x the number of the shelves,
we can build an equation: 22x=16(x−1)+18+40
Solving the equation, we get x=7
Answer: C
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A.40
B.28
C.27
D.17
Answer: A.40
Explanation: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25
= 40 sec
Answer: A
Question: In a river flowing at 2 km/hr, a boat travels 40 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
A.10 hours
B.12 hours
C.14 hours
D.15 hours
Answer: D.15 hours
Explanation: Explanation :
speed of the boat = 6 km/hr
Speed downstream = (6+2) = 8 km/hr
Speed upstream = (6-2) = 4 km/hr
Distance travelled downstream = Distance travelled upstream = 40 km
Total time taken = Time taken downstream + Time taken upstream
= (40/8) + (40/4) = 15
D
Question: If (6)(x^2) has three different prime factors, at most how many different prime factors does x have?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: x can have at most 3 prime factors, namely the prime factors 2 and 3, plus one other.
If x had more than this number of prime factors, then (6)(x^2) would have more than 3 prime factors.
The answer is C.
Question: Five years ago Anita was P times as old as Ben was. If Anita is now 14 years old, how old is Ben now in terms of P ?
A.9/P + 5
B.P/9 +5
C.17 - P/5
D.17/P
Answer: A.9/P + 5
Explanation: let's call Ben age five years ago is x
so five years ago Anita was: 14-5 = 9 years old
and five years ago Anita was P times as old as Ben was
=> 9/x = P
=> x = 9/P
=> Now Ben age will be : x+5 = 9/P+5
=> the answer is A
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
A.197
B.280
C.189
D.278
Answer: B.280
Explanation: x*(85/100)
= (480 - x)119/100
x = 280
Answer: B
Question: The salary of a person was reduced by 10%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
A.10%
B.11 1/9%
C.13 2/7%
D.15 3/11%
Answer: B.11 1/9%
Explanation: Let the original salary be $100
New salary = $90
Increase on 90 =10
Increase on 100 = 10/90 * 100 = 11 1/9%
Answer is B
Question: A person traveled from his house to office at 30 kmph; then he was late to his office by 5 minutes. If he increases his speed by 10 kmph he would be early by 15 minutes to his office. What should be his speed so that he reaches his office on time ?
A.36 kmph
B.32 kmph
C.34 kmph
D.35 kmph
Answer: B.32 kmph
Explanation: Expl :
Let the distance between house and office be x km
(x/30) – (x/40) = 20/40; x/120 = 1/3 x = 40 km
Travlling at 40 kmph, he reaches office in 1 hour i.e. 15 minutes early
So required speed = 40/ 5/4 = 40 * 4/5 = 160/5 = 32 kmph
Answer: B
Question: The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E, whose weight is 3 kg more than that of D, replaces A, then average weight of B, C, D and E becomes 79 kg. The weight of A is?
A.70 kg
B.72 kg
C.75 kg
D.80 kg
Answer: C.75 kg
Explanation: Weight of D = (80 x 4 - 84 x 3) kg = 68 kg
Weight of E = (68 + 3) kg = 71 kg
(B + C + D + E)’s weight = (79 x 4) kg = 316 kg
Therefore, (B + C)’s weight = [316 - (68 + 71)] kg = 177 kg.
Hence, A’s weight = [(84 x 3) - 177] kg = 75 kg.
ANSWER:C
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
A.Rs.13
B.Rs.12
C.Rs.15
D.Rs.22
Answer: C.Rs.15
Explanation: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90
The average amount with them = 90/6 = Rs.15.
Answer:C
Question: If x and y are prime numbers such that x > y > 3, then x^2 − y^2 must be divisible by which one of the following numbers?
A. 3
B. 4
C. 5
D. 9
Answer: B. 4
Explanation: If x=8 and y=6, then x^2-y^2=28 and 28 is divisible only by 4 from the options, thus it must be correct.
Answer: B.
Question: In each term of a sequence, 9 is added to get the next term. If the first term is 2, what is the eighty-first term?
A.632
B.695
C.713
D.722
Answer: D.722
Explanation: Let’s think about the first few terms of this sequence.
a_1=2
a_2=11 = 2 + 9
a_3=20 = 2 + 9 + 9
a_4=29 = 2 + 9 + 9 + 9
To find each new term, we add 9. The result is, each term equals 2 plus a sum of 9’s. How many nines? Well, the second term has one 9, the third term has two 9’s, the fourth term has three 9’s, so it’s clear the nth term would have a sum of (n – 1) 9’s. Thus, the eighty-first term would be 2 plus eighty 9’s. Well, eighty 9’s = 80*9 = 720, so the eighty-first term = 722, answer D.
Question: How many of the positive factors of 20 are not factors of 24
A.2
B.3
C.4
D.1
Answer: B.3
Explanation: factors of 20 - 1, 2, 4,5, 10, 20
factors of 24 -1, 2, 3, 4, 6, 8, 12 and 24
Comparing both, we have 3 factors of 20 which are not factors of 24- 5,10,20
Answer : B
Question: If 5 persons can do 5 times of a particular work in 5 days, then, 3 persons can do 3 times of that work in?
A.2 days
B.3 days
C.5 days
D.7 days
Answer: C.5 days
Explanation: That is, 1 person can do one time of the work in 5 days.
Therefore, 3 persons can do 3 times work in the same 5 days itself.
C)
Question: The profits of a firm are to be distributed in a suitable ratio. Suitable ratio is the ratio whose terms differ by 40 and the measure of which is 2/7. Find the suitable ratio.
A.280 : 2
B.16 : 56
C.80 : 7
D.40 : 14
Answer: B.16 : 56
Explanation: Let the ratio be x : y
Given x/y = 2/7,
Also y - x = 40,
Solving we get, x = 16, y = 56
ANSWER:B
Question: The probability that a girl student gets scholarship is 0.6 and that of a boy is 0.8,then probability that at least one gets the scholarship is:
A.0.72
B.0.82
C.0.92
D.1.12
Answer: C.0.92
Explanation: Probability that girl gets scholarship = 0.6
Probability that boy gets scholarship = 0.8
Hence, Probability that girl don't get scholarship = 1-0.6 = 0.4
Probability that boy don't get scholarship = 1-0.8 = 0.2
So, Probability that at least one gets scholarship is: (Girl gets and Boy don't get) OR (Boy gets and Girl don't get) OR (Both Gets)
=(0.6*0.2)+(0.8*0.4)+(0.6*0.8)
=0.12+0.32+0.48
=0.92
ANSWER:C
Question: 1.A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member
A.A.10%
B.B.20%
C.C.45%
D.D.55%
Answer: C.C.45%
Explanation: A,B, C is too low so I eliminated those answers, E was too high of a number, so I chose D as my final answer.C
Question: What percent of a day is 6 hours?
A.6.25%
B.20%
C.25%
D.12.5%
Answer: C.25%
Explanation: Total hours in a day = 24
Required percent =6×100=25%
---
24
Answer: Option C
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 44, the dividend is?
A.4320
B.4325
C.4330
D.4884
Answer: D.4884
Explanation: Divisor = (5 * 44) = 220
= 10 * Quotient = Divisor
=> Quotient = 220/10 = 22
Dividend = (Divisor * Quotient) + Remainder
Dividend = (220 * 22) + 44 = 4884
D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 18 hours and 8 hours respectively. The ratio of their speeds is
A.4 : 9
B.4 : 3
C.4 : 12
D.4 : 8
Answer: A.4 : 9
Explanation: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = b : a = 8 : 18 = 4 : 9.Answer: A
Question: Average of money that group of 4 friends pay for rent each month is $800.After one persons rent is increased by 25% the new mean is $850.What was original rent of friend whose rent is increased?
A.800
B.900
C.1000
D.1100
Answer: A.800
Explanation: 0.25X = 4(850-800)
0.25X = 200
X = 800
answer A
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
A.9:37
B.9:31
C.9:38
D.9:32
Answer: B.9:31
Explanation: 1/4 : 3/4 = (1:3)5 = 5:15
1/5 : 4/5 = (1:4)4 = 4:16
------
9:31
Answer: B
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 12 years at the same rate?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: P ---- 2P ---- 8 years3P ---- 12 years Answer: C
Question: 18 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
A.32
B.87
C.36
D.99
Answer: C.36
Explanation: 3W = 2M
18M ------ 21 * 8 hours
21 W ------ x * 6 hours
14 M ------ x * 6
18 * 21 * 8 = 14 * x * 6
x = 36
Answer: C
Question: A utensil contain the amount of milk which is as much lesser than 80 is more than 42. The amount of milk is?
A.45
B.49
C.71
D.61
Answer: D.61
Explanation: Answer
Let the amount be x.
Then, x - 42= 80- x
’ 2x = 80+ 42= 122
2x = 122
´ x = 61
Correct Option: D
Question: If 16 men working 7 hours day can plough a fieid in 4l days, inhow many days will 14 men working 12 hours a clay plough the samefield ?
A.22
B.32
C.36
D.39
Answer: B.32
Explanation: Explanation :
(Men 14 : 16) : (Hrs/Day 12 : 7) :: 48 : x14 * 12 * x = 16 * 7 * 48 or x = 32
Answer : B
Question: The product of two positive integers is 783 and their difference is 2. What is the bigger number?
A.23
B.25
C.27
D.29
Answer: D.29
Explanation: Let's use trial and error to find the two numbers.
30*28 = 840 (too high)
29*27 = 783
The answer is D.
Question: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 30 days more. What is the reinforcement?
A.1800 men
B.3900 men
C.600 men
D.3800 men
Answer: C.600 men
Explanation: 2000 ---- 54
2000 ---- 39
x ----- 20
x*30 = 2000*39
x = 2600
2000
-------
600
ANSWER:C
Question: A girl has nine jeans and 12 shirts. In how many different ways can she select a jeans and a shirts?
A.100
B.102
C.108
D.110
Answer: C.108
Explanation: The girl can select one jeans in nine ways.
The girl can select one shirt in 12 ways.
The number of ways in which he can select one jeans and one shirt is 9 * 12 = 108 ways.
C
Question: The L.C.M. of two numbers is 36. The numbers are in the ratio 2 : 3. Then sum of the number is:
A.28
B.30
C.40
D.53
Answer: B.30
Explanation: Let the numbers be 2x and 3x.
Then, their L.C.M. = 6x.
So, 6x = 36 or x = 6.
The numbers are 12 and 18.
Hence, required sum = (12 + 18) = 30.
Answer: Option B
Question: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
A.9
B.10
C.11
D.14
Answer: B.10
Explanation: B
10
This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
Question: The minimum number of tiles of size 16 by 24 required to form a square by placing them adjacent to one another is
A.4 tiles
B.5 tiles
C.6 tiles
D.7 tiles
Answer: C.6 tiles
Explanation: LCM of 16,24 = 48
48*48 is the minimum size of square made with 16 by 24 tiles
Number of tiles required = area of square/area of one tile
=48*48/(16*24)
= 6 tiles
ANSWER:C
Question: If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of an orange fruit ?
A.Green
B.BLUE
C.PINK
D.ORANCE
Answer: B.BLUE
Explanation: Explanation:
Pink → Orange
Orange → Blue
Blue → Red
Red → Green
Green → Black
Black → White
The color of an orange fruit is 'Orange' but in coding language, 'Orange' is called 'Blue'.
ANSWER: B
Question: A bag contains 2 yellow balls, 3 white balls and 5 red balls. In how many ways can two balls be drawn from the bag?
A.2C2
B.10C2
C.8C2
D.5C2
Answer: B.10C2
Explanation: Total number of balls= 2+3+5 = 10
2 balls can be drawn from 10 balls in 10C2
ANSWER:B
Question: If a train, travelling at a speed of 160 kmph, crosses a pole in 18 sec, then the length of train is?
A.800
B.125
C.288
D.266
Answer: A.800
Explanation: D = 160 * 5/18 * 18
= 800 m
Answer: A
Question: The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 6hrs if the speed of the bike is twice speed of the tractor?
A.400 km
B.500 km
C.360 km
D.540 km
Answer: D.540 km
Explanation: Sol. Average speed of a tractor = 25 km / h
The speed of a bus in an hour = 25 × 2 = 50 km
The speed of a car in an hour = 9/5 * 50 = 90 km
So, the distance covered by car in 6 h is
90 × 6 = 540 km
Ans.(D)
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 50 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
A.150
B.500/3
C.400
D.480
Answer: A.150
Explanation: we know that X is 10% , Y is 30% and W.Avg = 25% . what does this mean with respect to W.Avg technique ?
W.Avg is 1 portion away from Y and 3 portion away from X so for every 1 portion of X we will have to add 3 portions of Y.
If X = 50 then Y = 150
ANSWER:A
Question: What are the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?
A.227
B.814
C.168
D.686
Answer: B.814
Explanation: In this type of questions, first we need to calculate the area of tiles. With we can get by obtaining the length of largest tile.
Length of largest tile can be obtained from HCF of length and breadth.
So lets solve this,
Length of largest tile = HCF of (1517 cm and 902 cm)
= 41 cm
Required number of tiles =
Area of floorArea of tile=(1517×90241×41)=814
Answer:B
Question: How much does a watch lose per day, if its hands coincide ever 64 minutes?
A.32 8/11
B.32 8/19
C.32 8/12
D.32 8/13
Answer: A.32 8/11
Explanation: 55min spaces are covered in 60min
60 min. spaces are covered in (60/55 x 60) min= 65+5/11 min.
loss in 64min=(65+5/11)- 64 =16/11
Loss in 24 hrs (16/11 x 1/64 x 24 x 60) min= 32 8/11.
Answer: A) 32 8/11
Question: Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
A.22
B.77
C.26
D.20
Answer: D.20
Explanation: Speed Ratio = 1:4/5 = 5:4Time Ratio = 4:51 -------- 5 4 --------- ? è 20
Answer: D
Question: Two vessels contain mixtures of milk and water in the ratio of 4:9 in the first vessel and in the ratio of 2:7 in the second vessel. In what ratio should the contents be mixed such that the resultant mixture has milk and water in the ratio of 2:5.
A.1:5
B.2:5
C.3:5
D.4:5
Answer: B.2:5
Explanation: Let 1st vessel contains X liters of mixture of milk and water.
Milk in 1st vessel = 4/13x
Water in 1st vessel=9/13x
Let 2nd vessel contains Y liters of mixture of milk and water
Milk in 2nd vessel = 2/9y
Water in 2nd vessel =7/9y
Let the two mixture combine such that the milk to water ratio is 2:5
4x/13 + 2y/9 / 9x/13 +7/9y =2/5
36x+26y/81x+91y=2/5
180x+130y=162x+182y
18x=52y
x/y=26/9
Hence mixture from vessel 1 and vessel 2 should be mixed in the ratio 26/9 for milk and water to be in ratio 2:5
ANSWER:B
Question: In six successive games, a baseball team scored 2 runs once, 5 runs twice, and 6 runs three times.
What was the average (arithmetic mean) number of runs the team scored per game over the six-game period?
A.8
B.7
C.6
D.5
Answer: D.5
Explanation: 2 runs once (one game)
5 runs twice (two game)
6 runs three times (three games)
SO we have (2*1 + 5*2 + 6*3)/6 = 30/6 = 5.
ANS: D.
Question: If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true?
I. (x + z)^2 > y
II. yz > x
III. x+y>z
A.III only
B.II only
C.II,III only
D.I only
Answer: D.I only
Explanation: Lets suppose that a,b,c can take any one of following three value 1,5,7. Most important point is that the options MUST BE TRUE under any condition.
III) x+y>z
Not necessarily true as 1+5<7
II) yz>x
Not necessarily true as 5.7<1
I) We don't need to check option as all the options except D can be discarded.
Thus Answer D
Question: A and B started a business with initial investments in the ratio 6 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ?
A.6 months
B.8 months
C.21 months
D.5 months
Answer: C.21 months
Explanation: Let Sumit in the business for ‘a’ months.
Investment Ratio Amit to Sumith = 6 : 3.
Profit sharing ratio = 8 : 7.
Amit is in the business for 12 months.
Then Sumit in the business for
(6× 12) / (3 × a) = 8 / 7 => 24a = 504 or
a = 504 / 24 = 21 or 21 months
Option C
Question: a little girl went to the farm to buy fruits. she bought 10 apples, 10 oranges and 30 strawberries. what is the ratio of the apples to all the fruits bought?
A.1/2
B.1/5
C.1/10
D.10/30
Answer: B.1/5
Explanation: total # of fruits is 10+10+30=50; ratio of her apples to all the fruits bought is 10/50 = 1/5
ANSWER:B
Question: The average (arithmetic mean) of 24, 35, and 58 is 6 more than the average of 19, 51, and x. What is x?
A.26
B.27
C.28
D.29
Answer: D.29
Explanation: The average of 24, 35, and 58 is 39.
The average of 19, 51 and x is 33.
Then 19 + 51 + x = 99.
x = 29.
The answer is D.
Question: A train traveling at 40 kms / hr while inside the tunnel meets another train of half its length traveling at 60 kms / hr and passes it completely in 4.5 seconds. Find the length of the tunnel if the first train passes completely through it in 4 minutes 37.5 seconds.
A.2000 meters
B.3000 meters
C.4000 meters
D.5000 meters
Answer: B.3000 meters
Explanation: 3000meters
ANSWER:B
Question: A train passes a platform in 36 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
A.240
B.250
C.260
D.230
Answer: A.240
Explanation: Speed of the train = 54 km/hr = (54×10)/36 m/s = 15 m/s
Length of the train = speed × time taken to cross the man = 15×20 = 300 m
Let the length of the platform = L
Time taken to cross the platform = (300+L)/15
=> (300+L)/15 = 36
=> 300+L = 15×36 = 540
=> L = 540-300 = 240 meter
Answer is A.
Question: How many times the keys of a writterhave to bepressed in order to write first 400 counting no.'s?
A.980
B.990
C.1092
D.1100
Answer: C.1092
Explanation: 1 to 9 = 9 * 1 = 9
10 to 99 = 90 * 2 = 180
100 to 400 = 301 * 3 = 903
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1092
C
Question: If j and k are integers, and 2j + k = 15, which of the following must be true?
A.j + k is odd.
B.j + k is even.
C.j is odd.
D.k is odd.
Answer: D.k is odd.
Explanation: 2j+k=15
even+odd=odd
So k is odd. D is the answer.
Question: Sheik Abdullah decides to buy 4 new cars for his collection. If he has to choose between eight different cars, what is the number of purchasing possibilities he has?
A.A)7
B.B)11
C.C)14
D.D)18
Answer: C.C)14
Explanation: Sheik Abdullah decides to buy 4 new cars for his collection. He has to choose between eight different cars
8C3= 8*7*6/(4*3*2*1) = 14 ANS:C
Question: A man took a loan from a bank at the rate of 11% p.a. simple interest.After 3 years he had to pay Rs. 5400 interest only for the period.The principal amount borrowed by him was :
A.Rs. 16363.64
B.Rs. 10,000.64
C.Rs. 15,000,64
D.Rs. 21,353.64
Answer: A.Rs. 16363.64
Explanation: Solution
Principal = Rs.(100x5400/11x3)= Rs. 16363.64.
Answer A
Question: A certain league has three divisions. The respective divisions had 10, 12 and 15 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
A. 70
B. 72
C. 73
D. 78
Answer: C. 73
Explanation: Overall, there can be 73 minuses. Tus, it is C.
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
A.277
B.299
C.245
D.888
Answer: C.245
Explanation: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X) = 750 ==> X = 245 m.Answer:C