divelab/Sys2Bench huggingface dataset:
Question: A polygon has 135 diagonals. How many sides does it have?
Self made
Options:
A) 12
B) 13
C) 18
D) 15
E) 16
Rationale: The best way to solve this problem is to use the formula: An n sided polygon can have n*(n - 3)/2 diagonals
n*(n - 3)/2 = 135
n*(n - 3) = 270
Substitute n from the answer choices. n = 18
Answer: C
Answer: C
Question: The average age of a group of 10 students was 25. The average age increased by 3 years when two new students joined the group. What is the average age of the two new students who joined the group?
Options:
A)22 years
B)30 years
C)32 years
D)43 years
E)None of these
Rationale: The total age of 10 students with average 25 = 250
The total age of 12 students with average 28 = 336
The total age of 2 new students = 86
Their average =43
Correct Option D
Answer: D
Question: Find the invalid no.from the following series 15 46 63 71 75 77 78
Options:
A)23
B)46
C)47
D)76
E)35
Rationale: In this question, if you start from the beginning, firstly the difference is 31, then the difference is 17, then the difference is 8. So there is no logic. If you start backwards,you can see that firstly, 1 is added, then 2 is added, then 4 is added, then 8,16 and 32 should have been added. So you have got the right clue. So 15 + 32 the first number should be 47 and afterwards, the series becomes + 16, + 8, + 4and so on.
B
Answer: B
Question: If m and n are negative integers, which of the following statements must be true?
I. (-m)^n is positive.
II. (-m)^(-n) is positive.
III. m^(-n) is positive.
Options:
A)None
B)II only
C)I and II
D)I and III
E)I, II and III
Rationale: Let's m = -2 and n = -3
I. (-m)^n = (2)^(-3) = 1/(2^3) --> Positive
II. (-m)^(-n) is positive. = 2^3 --> Positive
III. m^(-n) is positive. = -2^3 --> Negative
Answer: C
Answer: C
Question: If r = 199,999 and s = 991,999, which of the following is the units digit of r^2 + s^2?
Options:
A)0
B)1
C)2
D)8
E)9
Rationale: The exponents of 9 cycle between 9 (odd exponents) and 1 (even exponents).
Then the sum of r^2+s^2 will have 1+1 = 2 as a units digit.
The answer is C.
Answer: C
Question: What is the greatest possible length which can be used to measure exactly the lengths 180 m, 500 m and 15m 20 cm?
Options:
A)80 cm
B)50 cm
C)40 cm
D)10 cm
E)100 cm
Rationale: Required length = HCF of 18000 cm, 50000 cm, 1520 cm = 80 cm
Answer is A
Answer: A
Question: If the simple interest on a certain amount in at 4% rate 5 years amounted to Rs.2080 less than the principal. What was the principal?
Options:
A)1500
B)2600
C)2507
D)3200
E)11500
Rationale: P - 2080 = (P*5*4)/100
P = 2600
Answer: B
Answer: B
Question: If (1/2)^25 (1/81)^k = 1/18^25, then k =
Options:
A)8
B)12.5
C)16
D)24
E)36
Rationale: I'm going to focus on denominator only..
(2^25) . ((3^4)^k = 18^25
(2^25) . ((3^4k) = (2. 3^2)^25
(2^25) . ((3^4k) = (2^25) . (3^2)^25
hence
4k = 50
k = 12,5
answer B
I hope it's quite clear
Answer: B
Question: A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 6 cups of tea are prepared, 3 in one way and 3 in other. Find the different possible ways of presenting these 6 cups to the expert.
Options:
A)252
B)240
C)300
D)720
E)None
Rationale: Solution:
Since, there are 3 cups of each kind, prepared with milk or tea leaves added first, are identical hence, total number of different people ways of presenting the cups to the expert is,
[6!/(3!x 3!)]= 720
Answer: Option D
Answer: D
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 17 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Options:
A)11
B)444
C)2881
D)287
E)456
Rationale: 1h ----- 5
? ------ 60
12 h
RS = 17 + 21 = 38
T = 12
D = 38 * 12 = 456
Answer:E
Answer: E
Question: One night 18 percent of the female officers on a police force were on duty. If 144 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Options:
A)300
B)400
C)500
D)600
E)700
Rationale: Let x be the number of female police officers on the police force.
The number of female police officers on duty was 72.
0.18x = 72
x = 400
The answer is B.
Answer: B
Question: If the sample interest on a sum of money 10% per annum for 2 years is $1200, find the compound interest on the same sum for the same period at the same rate?
Options:
A)$1260
B)$1520
C)$1356
D)$1440
E)$1210
Rationale: Rate = 10%
Time = 2years
S.I. = $1200
Principal = 100*1200/10*2 = $6000
Amount = 6000(1+10/100)^2 = $7260
C.I. = 7260-6000 = $1260
Answer is A
Answer: A
Question: If a + b + c = 13, a2 + b2 + c2 = 69 then find the ab + bc + ca :
Options:
A)10
B)30
C)50
D)70
E)90
Rationale: Explanation:
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
2(ab + bc + ca) = (a + b + c)2 - a2 + b2 + c2
2(ab+bc+ca) = 169 - 69 = 100.
(ab + bc + ca) = 50.
Answer: C
Answer: C
Question: When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction w of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
Options:
A)11/14
B)13/18
C)4/7
D)3/7
E)3/14
Rationale: If we use variable for total votes there will be too many fractions to manipulate with, so pick some smart #: let set total # of votes is 18.
2/9 of the votes on a certain resolution have been counted--> 4 counted and 18-4=14 votes left to be counted;
3/4 of those counted are in favor of the resolution--> 3 in favor and 1 against;
Ratio of those who voted against to those who voted for to be 2 to 1 there should be total of 18*2/3=12 people who voted against, so in the remaining 14 votes there should be 12-1=11 people who voted against. Thus w=11/14 of the remaining votes must be against.
Answer: A.
Answer: A
Question: Look at this series: 36, 34, 30, 28, ..., ... What numbers should come next?
Options:
A)29,27
B)32,30
C)22,20
D)24,22
E)10,9
Rationale: This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.
36-2 = 34
34-4 = 30
30-2 = 28
28-4 = 24
24-2 = 22
Answer is D
Answer: D
Question: Of three numbers, the third is thrice the second and the second is 5 times the first. If their average is 105, the smallest of the three numbers is:
Options:
A)18
B)15
C)20
D)21
E)22
Rationale: Explanation:
Let first number be x.
So,2nd no. = 5x & 3rd no.=15x.
So,x+5x+15x=105× 3 = 234.
21x = 315
x = 315/21
Hence,smallest Number x=15.
Answer: B
Answer: B
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
Options:
A)81000
B)33888
C)77678
D)200988
E)228881
Rationale: 64000* 9/8 * 9/8
= 81000
Answer: A
Answer: A
Question: The average age of a group of n people is 14 years old. One more person aged 32 joins the group and the new average is 16 years old. What is the value of n?
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: 14n + 32 = 16(n+1)
2n = 16
n = 8
The answer is D.
Answer: D
Question: What should be added to 5021 so that it may become a perfect square?
Options:
A)20
B)23
C)26
D)27
E)29
Rationale: 71x71=5041
5041-5021 = 20
If added to 20 get perfect square
answer =A
Answer: A
Question: In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (0, 1) and a radius of 2. Some points, such as the center (0, 1), are inside the circle, but a point such as (0, 3) is on the circle but not in the circle. How many lattice points are in circle C?
Options:
A)9
B)27
C)2
D)15
E)7
Rationale: The lattice points that are in the circle, that lie on the x and y axes, are (0, 1), (0, 2), (0, 0), (1, 1), and (-1, 1). The lattice points in the circle and not on the x and y axes are (-1, 0), (-1, 2), (1, 0), and (-1, 2).
There are a total of 9 lattice points in the circle.
Answer: A
Answer: A
Question: If x percent of 400 is 20 percent of 700, then x =
Options:
A)200
B)350
C)700
D)400
E)1,400
Rationale: x/100(400) = 2/10(700)
x = 400.
Option D.
Answer: D
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Options:
A)2
B)1
C)7
D)6
E)4
Rationale: 1 women's 1 day work = 1/70
1 child's 1 day work = 1/140
(5 women + 10 children)'s 1 day work
= (5/10 + 10/140) = (1/14 + 1/14) = 1/7
5 women and 10 children will complete the work in 7 days.
Answer:C
Answer: C
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 90 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Options:
A)12 sec
B)24 sec
C)30 sec
D)60 sec
E)62 sec
Rationale: Relative speed = 90 + 30 = 120 km/hr.
120 * 5/18 = 100/3 m/sec.
Distance covered = 500 + 500 = 1000 m.
Required time = 1000 * 3/100 = 30 sec.
ANSWER:C
Answer: C
Question: In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-5, 1), (1, 1), (1, -4) and (-5, -4)?
Options:
A)20
B)30
C)40
D)55
E)48
Rationale: Length of side 1= 5+1=6
Length of side 2= 4+1= 5
Area of rectangle= 6*5= 30
B is the answer
Answer: B
Question: John buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
Options:
A)Rs. 6876.10
B)Rs. 4500
C)Rs. 4600
D)Rs. 3400
E)Rs. 7500
Rationale: Rebate = 6% of Rs. 6650 = Rs. 6 x 6650 = Rs. 399.
100
Sales tax = 10% of Rs. (6650 - 399) = Rs. 10 x 6251
= Rs. 625.10
100
Final amount = Rs. (6251 + 625.10) = Rs. 6876.10
correct answer - A
Answer: A
Question: If x is to be chosen at random from the set {1, 2, 3} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?
Options:
A) 1/6
B) 1/3
C) 1/2
D) 2/3
E) 5/6
Rationale: Probably the best way to solve would be to use 1 - P(opposite event) = 1 - P(odd) = 1 - P(odd)*P(odd) = 1 - 2/4*2/3 = 8/12 = 5/6.
Answer: E.
Answer: E
Question: In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case?
Options:
A)676
B)528
C)758
D)454
E)546
Rationale: Assume x soldiers join the fort. 1200 soldiers have provision for 1200 (days for which provisions last them)(rate of consumption of each soldier)
= (1200)(30)(3) kg.
Also provisions available for (1200 + x) soldiers is (1200 + x)(25)(2.5) k
As the same provisions are available
=> (1200)(30)(3) = (1200 + x)(25)(2.5)
x = [(1200)(30)(3)] / (25)(2.5) - 1200 => x =528.
Answer:B
Answer: B
Question: Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
Options:
A)70
B)71
C)75
D)78
E)74
Rationale: There will be 2 series
1st: 72 73 74 75 76 (Increasing by 1)
2nd: 76 77 78 79 (Increasing by 1)
Final: 72 76 73 77 74 78 75
ANSWER:D
Answer: D
Question: A 250 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Options:
A)230m
B)240m
C)250m
D)260m
E)270m
Rationale: speed = (120 + 80)km/h (because direction is opposite hence relative velocity is added)= 500/9 m/s
time= 9sec
let the lenght of second train is x
total distance covered= 250 + x
therefore, D= speed*time
thus 250 + x = 500/9 * 9
x= 500-250=250 m
ANSWER:C
Answer: C
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Options:
A)22
B)37
C)10
D)28
E)27
Rationale: speed of the bus excluding stoppages = 54 kmph
speed of the bus including stoppages = 45 kmph
Loss in speed when including stoppages = 54 - 45 = 9kmph
=> In 1 hour, bus covers 9 km less due to stoppages
Hence, time that the bus stop per hour = time taken to cover 9 km
=distancespeed=954 hour=16 hour = 606 min=10 min
Answer :C
Answer: C
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?+ 1611 + 647 equals
Options:
A)1261
B)3729
C)2737
D)1278
E)1276
Rationale: A = 8000(21/20)3
= 9261
= 8000
---------
1261
Answer: A
Answer: A
Question: In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is
Options:
A)1 km/hr.
B)5 km/hr.
C)3 km/hr.
D)8 km/hr.
E)12 km/hr.
Rationale: Let Abhay's speed be x km/hr.
Then,	30/x	- 30/2 x= 3
6x = 30
x = 5 km/hr.
answer :B
Answer: B
Question: Given a certain number (x), find x given that 5.76 is 12% of 40% of x?
Options:
A)130
B)120
C)140
D)100
E)300
Rationale: Using elimination method to pick the correct option it will be discovered that option B i.e 120 is the correct option because 40% of 120 is 48 and 12% of 48 is 5.76.
ANSWER:B
Answer: B
Question: In what ratio tea of Rs.80 per kg be mixed with 12kg tea of Rs.64 per kg, so thai cost price of mixture is Rs.74 per kg?
Options:
A)3:5
B)5:3
C)2:5
D)2:3
E)None of the above
Rationale: If 'x' kg of tea costing Rs. 80/kg is mixed with 12 kg costing Rs. 64/kg, then
Cost price of mixture= (x*80 + 12*64) /(x+12) =74 , 80x+768 =74x+888 ,x=20
Ratio of tea mixed=20/12=5/3
ANSWER:B
Answer: B
Question: At Rahul's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?
Options:
A)384
B)258
C)216
D)120
E)72
Rationale: we have to work on the info and understand what that info takes us to...
1) there were five times as many females as males At Rahul's party,..
this means F=5M.. so total number=6M..
2) There were three times as many adults as children..
A=3C...
or total = 4C..
so the total is 4C or 6M..
since C and M have to be positive integers, we can say for sure that Total is a multiple of 4 and 6..
or Total is multiple of LCM of 4,6..
LCM of 4,6= 12..
lets see which number is not multiple of 12..
A. 384...12*32
B. 258... no
C. 216....12*18
D. 120....12*10
E. 72......12*6..
so B is our answer..
Answer: B
Question: A train 135 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Options:
A)13 km/hr
B)53.6 km/hr
C)17 km/hr
D)18 km/hr
E)12 km/hr
Rationale: Speed of the train relative to man = (125/10) m/sec
= (13.5) m/sec. [(13.5) * (18/5)] km/hr
= 48.6 km/hr. Let the speed of the train be x km/hr. Then, relative speed
= (x - 5) km/hr. x - 5 = 48.6 ==> x
= 53.6 km/hr.
Answer:B
Answer: B
Question: 6 boysand 8 girls can do job in 10 days ,26 boys & 48 women do work in 2 days find time taken by 15 boys and 20 girls to do same work
Options:
A)4 days
B)5 days
C)6 days
D)7 days
E)8 days
Rationale: 6b+8g=1/10(1 day work) ------>(I)
26b+48w=1/2 -------->(II)
Divide both sides by 2 in (I) and multiply both sides by 5
now we get
15b+20b=1/4
so ans. is 4 days.
ANSWER:A
Answer: A
Question: A cubical block of metal weighs 4 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Options:
A)48
B)32
C)24
D)18
E)12
Rationale: For example our cube have a side 1 meter, so we have 1 cubical meter in this cube
and this cubical meter weigth 4 pounds
If we take cube with side 2 meters we will have 8 cubical meters in this cube
8 meters * 4 pounds = 32 pounds
So answer is B
And similar but more theoretical approach:
if we have sides a and b than they have equal ration with their areas:
a/b = a^2/b^2
and they have equal ration with their volumes:
a/b = a^3/b^3
we have two sides 1/2 so their volume will be in ratio 1/8
weight of one cube * volume of another cube
4 * 8 = 32
So answer is B
Answer: B
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Options:
A)18%
B)9%
C)15%
D)6%
E)10%
Rationale: Explanation:
1500 ---- 270
100 ---- ? => 18%
ANSWER IS A
Answer: A
Question: Which number need to add to 956734 to get a number exactly divisible by 412?
Options:
A)345
B)342
C)343
D)342
E)341
Rationale: 956734 / 412 = 2322 and reminder = 70.
412-70 = 342
So, the next number divisible by 412 is 342 places in front of 956734
Which means 342 + 956734 =957076
342 should be added to 956734
B
Answer: B
Question: If x is a number such that x^2 + 4x - 5 = 0 and x^2 - 5x + 4 = 0, then x =
Options:
A)5
B)4
C)1
D)-4
E)-5
Rationale: x^2 + 4x - 5 = (x+5)(x-1) = 0
Then x=-5 or x=1.
x^2 - 5x + 4 = (x-4)(x-1) = 0
Then x=4 or x=1.
Thus x=1.
The answer is C.
Answer: C
Question: There is a square with side ‘a’ and one octagon is inscribed in it. What will be perimeter of octagon.
Options:
A)8a/3
B)7a/3
C)5a/3
D)a/3
E)11a/3
Rationale: Well if it's a regular octagon then it actually trisects each side of the square in which 1/3 of the lenght of the side of the square is the length of one side of the octagon. If any one has a doubt he can draw the figure and see it
Going this way lenght of a side of a octagon is a/3 and thus perimeter would be 8a/3.
ANSWER:A
Answer: A
Question: By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
Options:
A)377
B)480
C)281
D)267
E)288
Rationale: SP = 600
CP = (SP)*[100/(100+P)]
= 600 * [100/(100+25)]
= 600 * [100/125] = Rs.480
Answer: D
Answer: D
Question: Find the number of factors T of 180 that are in the form (4*k + 2), where k is a non-negative integer?
Options:
A)1
B)2
C)3
D)4
E)T=6
Rationale: As for the question, the most straightforward way is to list out the factors (this is fine for this question as 180 is a relatively small number). Number of factors of 180 T(=2^2*3^2*5) = 18. So listing the factors gives us:
1, 180
2, 90
3, 60
4, 45
5, 36
6, 30
9, 20
10, 18
12, 15
As the question asks us about the factors of the form 4k+2 ---> eliminate all ODD factors. You are now left with
2,4,6,10,12,18,20,30,36,60,90,180
For the form 4k+2, the first few values are 2, 6, 10, 14, 18, 22, 26, 30 ... already giving you 5 factors (=2,6,10,18,30). You can stop here and mark 6 (6th one = 90) as the correct answer as 5 is not given.
For checking any particular factor whether they conform to the form 4k+2---> do the following
4k+2 = 36 ---> 4k = 34 --> this will NOT give you an integer value for k ---> reject. Proceed with others until you find all the values asked.
E is thus the correct answer.
Answer: E
Question: If a is an integer from 1 to 96, what is the probability for a*(a+1)*(a+2) being divisible by 8?
Options:
A)a. 25%
B)b. 50%
C)c. 62.5%
D)d. 72.5%
E)e. 75%
Rationale: There is another way I approach such questions if I am short of time (otherwise I prefer the logical approach given above) - Brute Force/ Pattern Recognition/Intuition - whatever you may want to call it.
We need to find the numbers in which the product is a multiple of 8. I know I get a multiple of 8 after every 8 numbers. I will also get an 8 when I multiply 4 by an even number. In first 8 numbers, I have exactly two multiples of 4.
Basically, I figure that I should look at the first 8 cases. In all other cases, the pattern will be repeated. It helps that n can be from 1 to 96 i.e. a multiple of 8:
1*2*3 N
2*3*4 Y
3*4*5 N
4*5*6 Y
5*6*7 N
6*7*8 Y
7*8*9 Y
8*9*10 Y
5 of the first 8 products are divisible by 8 so my answer would be 5/8 = 62.5% C
Answer: C
Question: The total age of A and B is 15 years more than the total age of B and C. C is how many years younger than A?
Options:
A)12
B)15
C)C is elder than A
D)Data inadequate
E)None
Rationale: Solution
[(A+B) - (B+C)]	= 15
â€¹=â€ºA - C
= 15.
Answer B
Answer: B
Question: The arithmetic mean of the scores of a group of students in a test was 80. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?
Options:
A)A)101.4.
B)B)111.7
C)C)102.27
D)D)115.1
E)E)121.2
Rationale: Let the required means score be x. Then,
20 * 80 + 25 * 31 + 55 * x = 80 * 100
= 1600 + 775 + 55x = 8000
= 55x = 5625
= x = 102.27
Answer:C
Answer: C
Question: You keep tossing a fair coin for twenty times. Each time, the coin lands up with tails up.
What is the probability that if you toss it now, the coin will land with heads up this time?
Options:
A)30%
B)50%
C)78%
D)72%
E)91%
Rationale: B
50%
The probability will be 50% only as it always was. The next flip of coin is not dependent on what the results were in the previous flips.
Answer: B
Question: The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Options:
A)200 m
B)225 m
C)245 m
D)250 m
E)270 m
Rationale: Let the length of the bridge:L
The equation now is L+150/12.5m/s(45km/hr or12.5m/s)=30
Solving, L =225m
ANSWER:B
Answer: B
Question: A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 7 rows or 6 rows or 4 rows, then no tree will be left. Find the least number of trees required
Options:
A)22
B)84
C)28
D)76
E)21
Rationale: Explanation:
The least number of trees that are required = LCM(7,6,4) = 84.
Answer: B
Answer: B
Question: A woman buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:
Options:
A)12%
B)45%
C)20%
D)34%
E)78%
Rationale: C
Let the article be worth Rs. x.
C.P. 90% of Rs. x = Rs. 9x/10
S.P. = 110% of Rs. x = Rs. 11x/10
Gain = (11x/10 - 9x/10) = Rs. x/5
Gain % = x/5 * 10/9x * 100 = 22 2/9 % > 20%
Answer: C
Question: The arithmetic mean of the set S = {8, K, 7, 13, M, 8} is 9. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?
Options:
A)7
B)7.5
C)8
D)8.5
E)9
Rationale: The sum of the numbers is 6*9 = 54
K+M = 54 - 13 - 8 - 8 - 7 = 18
Since K ≠ M, K and M do not equal 9.
Thus one of the two numbers is 8 or less and one is 10 or more.
Then middle two numbers in the set are 8 and 8.
The median is 8.
The answer is C.
Answer: C
Question: In an election, candidate X got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate?
Options:
A)280000
B)300000
C)355000
D)356000
E)357000
Rationale: Total number of invalid votes = 15 % of 560000
= 15/100 × 560000
= 8400000/100
= 84000
Total number of valid votes 560000 – 84000 = 476000
Percentage of votes polled in favour of candidate X = 75 %
Therefore, the number of valid votes polled in favour of candidate X = 75 % of 476000
= 75/100 × 476000
= 35700000/100
= 357000
E)
Answer: E
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 6 kmph, then the speed of
the boat in still water is
Options:
A)12 kmph
B)13 kmph
C)14 kmph
D)15 kmph
E)None of these
Rationale: Explanation:
Rate upstream = (7/42)*60 kmh = 10 kmph.
Speed of stream = 6 kmph.
Let speed in still water is x km/hr
Then, speed upstream = (x ï¿½6) km/hr.
x-6 = 10 or x = 16 kmph
Answer: E
Answer: E
Question: A person is traveling at 40 km/hr and reached his destiny in 6 hr then find the distance?
Options:
A)260 km
B)240 km
C)280 km
D)340 km
E)350 km
Rationale: T = 6 hrs
D= T*S = 40*6 = 240 km
Answer is B
Answer: B
Question: How many odd and even numbers are there between 42 and 400?? Find the sum of odd numbers and the sum of even numbers!
Options:
A)2
B)8
C)27
D)9
E)21
Rationale: Answer:D
Answer: D
Question: How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
Options:
A)4787
B)2876
C)2876
D)5040
E)1082
Rationale: 'LOGARITHMS' contains 10 different letters.
Required number of words = Number of arrangements of 10 letters, taking 4 at a time.
=10P_4
= 5040.
Answer: D
Answer: D
Question: The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
Options:
A)33
B)12
C)66
D)77
E)88
Rationale: 63 + 83 + 103 = a3 => a
= 12
Answer: B
Answer: B