RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Which is the following is divisible by 11
A.A)109
B.B)4825
C.C)4805
D.D)4905
Answer: A.A)109
Explanation: Explanation:
Sum of first 'n' natural numbers = 1(1 + 1)/2
Sum of first 9 natural numbers = 1(1 + 1)//2 = 1 x 1= 1
Sum of first 99 natural numbers = 11(11 + 1)//2 = 11 x 10 = 110
110 - 1 = 109
Answer: Option A
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
A.76 sec
B.16 sec
C.15 sec
D.17 sec
Answer: B.16 sec
Explanation: Speed = 63 * 5/18
= 35/2 m/sec
Time taken
= 280 * 2/35
= 16 sec
Answer: B
Question: A cycle is bought for Rs.840 and sold for Rs.1220, find the gain percent?
A.70%
B.45%
C.48%
D.30%
Answer: B.45%
Explanation: Explanation:
840 ---- 380
100 ---- ? => 45%
Answer: B
Question: The average of 35 students in a class is 17 years. The average age of 25 students is 15. What is the average age of remaining 10 students?
A.26 years
B.27 years
C.28 years
D.29 years
Answer: C.28 years
Explanation: Sum of the ages of 14 students
= (17 * 35) - (15 * 21) = 595 - 315 = 280
Required average = (280/10) = 28 years.
Answer:C
Question: In what ratio should rice at Rs.9.30 per Kg be mixed with rice at Rs. 10.80 per Kg so that the mixture
be worth Rs.10 per Kg ?
A.7 : 8
B.8 : 7
C.6 : 7
D.7 : 6
Answer: B.8 : 7
Explanation: Explanation :
By the rule of alligation, we have
Cost of 1 kg rice of 1st kind Cost of 1 kg rice of 2nd kind
9.3 10.80
Mean Price
10
10.8-10 = .8 10 - 9.3 = .7
Required ratio = .8 : .7 = 8 : 7.
Answer : Option B
Question: What will be the difference between simple and compound interest @25% per annum on a sum of $3600 after 2 years?
A.$150
B.$220
C.$225
D.$182
Answer: C.$225
Explanation: S.I. = 3600*25*2/100 = $1800
C.I. = 3600 * (1 + 25/100)^2 - 3600 = $2025
Difference = 2025-1800 = $225
Answer is C
Question: Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has five times as many candies as Tina has. Rebecca has how many candies initially?
A.36
B.48
C.54
D.36
Answer: D.36
Explanation: T = R
T - 24 ;R + 24
R + 24 = 5 ( T - 24 )
R + 24 =5T - 120
R - 5T = - 144
We knowR = T, so
R - 5T = - 144
Or, R - 5R = -144
Or, - 4R = - 144
Or, R = 36( This is the initital no of Candies Rebecca had)
Answer : D
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A.09
B.10
C.05
D.02
Answer: B.10
Explanation: Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
45x = 135
x = 3.
So, they meet at 10 a.m.
Answer:B
Question: Suppose 12 points lie on a circle. How many cyclic quadrilaterals can be made by using these points?
A.440
B.454
C.495
D.486
Answer: C.495
Explanation: For any set of 4 points we get a cyclic quadrilateral. Number of ways of choosing 4 points out of 12 points is 12C4=495. Therefore, we can draw 495 quadrilaterals.
Answer C
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
A.277
B.888
C.228
D.860
Answer: D.860
Explanation: CP = SP + 1CP = SP - g
800 + x = 980 - 2x
3x = 180 => x = 60
CP = 800 + 60 = 860
Answer:D
Question: The total monthly income of four men and two women is 46,000. If every woman earns 500 more than a man then what is the monthly income of a woman?
A.7,500
B.8,000
C.9,000
D.6,500
Answer: B.8,000
Explanation: 4M + 2W = 46000;
Again, W = M + 500
or, M = W – 500
∴ (W – 500) + 2W = 46000
or, 6W = 46000 + 2000 = 48000
∴ W = 8000
Answer B
Question: A sun is divided among X, Y and Z in such a way that for each three rupees X gets, Y gets two rupees and Z gets 80 paisa. If the share of Y is RS. 55, what is the total amount of X and Y?
A.120
B.124.5
C.104.5
D.114.5
Answer: C.104.5
Explanation: x:y:z = 300:200:80
15:10:4
10 --- 55
19 --- ? => 104.5
Answer: C
Question: A shopkeeper has 280 kg of apples. He sells 40% of these at 20% profit and remaining 50% at 30% profit. Find his % profit on total.
A.23%
B.25%
C.26%
D.28%
Answer: A.23%
Explanation: If the total quantity was 100
Then 40X 20% + 50 X30%= 23
This profit will remain same for any total quantity unless the % of products remains the same. Hence 'A' is the answer
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A.15 a.m
B.10 a.m
C.12 a.m
D.02 a.m
Answer: B.10 a.m
Explanation: Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
45x = 135
x = 3.
So, they meet at 10 a.m.
Answer:B
Question: two branch of tree bird sit in way if one bird of the first branch goes to second branch there ratio become equal and if bird from second branch goes to first branch ratio become double than first. what are there ratio in sitting ?
A.7:5
B.6:5
C.8:5
D.5:7
Answer: A.7:5
Explanation: if birds on 1st branch=x, 2nd branch=y
Ist condition, x-1=y+1, x-y=2 ---(i) &
2nd condition, x+1=2(y-1), x-2y=-3 ---(ii)
Solving (i) & (ii), x=7, y=5
ANSWER:A
Question: The value of x.320 Ã· 2 Ã· 3 = X
A.53.33
B.46.33
C.15.36
D.15.45
Answer: A.53.33
Explanation: 320Ã·2Ã·3
=320Ã—1/2Ã—1/3
=160/3
=53.33
CORRECT ANSWER : A
Question: In a race with 30 runners where 3 trophies will be given to the top 5 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
A.5^3 ways
B.8^9 ways
C.7^8 ways
D.8^7 ways
Answer: A.5^3 ways
Explanation: 5 people can be prized with 3 distinct prizes in 5^3 ways
ANSWER:A
Question: How many keyboards do you need if you have to place 1024 keys into keyboards that each hold 32 keys?
A.A)28
B.B)30
C.C)32
D.D)34
Answer: C.C)32
Explanation: Sol.
1024 keys of 32 each
= 1024 / 32
= 32
Answer : C
Question: In certain year in Country C, x sets of twins and y sets of triplets were born. If there were z total babies born in Country C in this year, and x and y were both greater than 0, which of the following represents the fraction R of all babies born who were NOT part of a set of twins or triplets?
A.z - 2x - 3y
B.(2x+3y)/z
C.(x+y)/z
D.1 - (2x+3y)/z
Answer: D.1 - (2x+3y)/z
Explanation: X set of twins implies 2x babies of twin category.
Y set of triplets means 3y babies of triplet category.
Let K be the babies other than twin or triplet category.
Total babies = z = 2x+3y+k.
or K=Z-(2x+3y)
=> Fraction of babies other than twin or triplet categories = K/Z = Z-(2x+3y)/Z.
R= 1- (2x+3y)/Z. Hence answer is D.
Question: What positive number, when squared, is equal to the cube of the positive square root of 16?
A.64
B.32
C.8
D.4
Answer: C.8
Explanation: Let the positive number be x
x^2 = ((16)^(1/2))^3
=>x^2 = 4^3 = 64
=> x = 8
Answer C
Question: How many different values of positive integer x, for which |x+6|<x, are there?
A.0
B.2
C.3
D.8
Answer: D.8
Explanation: Answer D
I opted to put the random value option.
i used 0 , 6 , -6 and the the extreme of 20 and -20..
i was able to solve it in 1:09
D
Question: In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike?
A.46.5 kg
B.54 kg
C.65 kg
D.66.5 kg
Answer: D.66.5 kg
Explanation: Let Mike's weight be X kg.
According to Mike, 65 < X < 72.
According to Mike's brother, 60 < X < 70.
According to Mike's mother, X < 68.
The values satisfying all the above conditions are 66 and 67.
Required average = (66 + 67) / 2 = 66.5 kg
D
Question: A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 120 kg. What is the maximum weight of the crates on a single trip?
A.1250
B.625
C.600
D.7500
Answer: C.600
Explanation: Max No. of crates=5.
Max Weight=120Kg
Max. weight carried = 5*120=600Kg=C
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
A.81:121
B.81:126
C.81:189
D.81:176
Answer: A.81:121
Explanation: Ratio of the sides
= ³√729 : ³√1331 = 9 : 11
Ratio of surface areas
= 92 : 112 =81:121
Answer:A
Question: If 0 < m < 1 < n< 6, which of the following must be less than 1? I.m/n II. mn III. n - m
A.I only
B.III only
C.II,III only
D.II only
Answer: A.I only
Explanation: n > 1. So, option II, III is not possible.
So, Option I is correct.
Answer : A
Question: A and B undertake to do a piece of work for $500. A alone can do it in 5days while B alone can do it in 10days. With the help of C, they finish it in 2days. Find the share of C?
A.$200
B.$150
C.$300
D.$25
Answer: A.$200
Explanation: C's 1day work = (1/2)-(1/5 + 1/10) = 1/5
A:B:C= 1/5 : 1/10: 1/5 = 2:1:2
B's share = 500*2/5 = $200
Answer is A
Question: Light glows for every 13 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
A.380 times
B.381 times
C.382 times
D.392 times
Answer: C.382 times
Explanation: Time difference is 1hr,22min,49sec=4969sec. So, light glows floor(4969/13)=382 times.
ANSWER:C
Question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
A.240 meters
B.360 meters
C.420 meters
D.600 meters
Answer: A.240 meters
Explanation: Explanation:
Length of the platform = speed of train * extra time taken to cross the platform.
Length of platform = 72 kmph * 12 seconds
Convert 72 kmph into m/sec
1 kmph = 518518 m/s (This can be easily derived. But if you can remember this conversion, it saves a good 30 seconds).
∴ 72 kmph = 518∗72518∗72 = 20 m/sec
Therefore, length of the platform = 20 m/s * 12 sec = 240 meters.
Correct answer: A
Question: 120 is what percent of 40?
.
A.0.2%
B.2%
C.5%
D.300%
Answer: D.300%
Explanation: 120= x*40/100
x = 300%
Ans; D
Question: The average age of a group of 10 students was 20. 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?
A.22 years
B.30 years
C.38 years
D.44 years
Answer: C.38 years
Explanation: The total age of 10 students with average 20 = 200
The total age of 12 students with average 23 = 276
The total age of 2 new students = 76
Their average =38
Correct Option C
Question: If x and y are positive integers, Choose which of the following CANNOT be the greatest common divisor of 35x and 20y?
A.5
B.5(x-y)
C.10x
D.20y
Answer: C.10x
Explanation: We are looking for a choice that CANNOT be the greatest common divisor of 35x and 20y ...which means 35x and 20y when divided by the answer choice the quotient should not be a integer.
lets check
a. 5 35x/5 = 7x and 20y/5 = 4y both are integers so eliminate
b. 5(x-y) when x = 2 and y = 1 it could be be the greatest common divisor ..so eliminate
c. 10x when x = 1 its 10 and 10 cannot be the greatest common divisor of 35x and 20y ...
or 35x/10x = 3.5 which is not a integer.
so answer is C.
Question: An amount of Rs.1638 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of C?
A.386
B.378
C.396
D.395
Answer: B.378
Explanation: Let the shares of A, B and C be a, b and c respectively.
a : b : c = 1/2 : 1/3 : 1/4
Let us express each term with a common denominator which is the last number divisible by the denominators of each term i.e., 12.
a : b : c = 6/12 : 4/12 : 3/12 = 6 : 4 : 3.
Share of C = 3/13 * 1638 = Rs. 378
Answer: B
Question: Calculate the dividend from Caleb's stock, if Caleb he invested Rs. 2500 at 79 to obtain an income of Rs. 200.
A.6.32
B.5.32
C.7.32
D.2.32
Answer: A.6.32
Explanation: By investing Rs.2500, income = Rs.200
By investing Rs.79, income = 200Ã—79/2500=6.32
ie, dividend = 6.32%
Answer is A.
Question: X does a work in 40 days. Y does the same work in 60 days. In how many days they together will do the same work?
A.10
B.12
C.24
D.30
Answer: C.24
Explanation: X's 1day's work= 1/40
Y's 1 day's work=1/60
(X+Y)'s 1day's work= (1/40+1/60)=1/24
both together will finish the work in 24 days.
correct option is C
Question: Eighteen years ago,a father was three times as old as his son.Now the father is only twice as old as his son.Then the sum of the present ages of the son and the father is :
A.54
B.72
C.105
D.108
Answer: D.108
Explanation: Solution
Let the present ages of the father and son be 2x and x years respectively.
Then,(2x - 18)=3 (x - 18) ⇔ x = 36.
∴ Required sum = (2x + x) = 3x =108 years. Answer D
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
A.18%
B.19%
C.12%
D.32%
Answer: C.12%
Explanation: Original price = 100
CP = 80
S = 80*(140/100) = 112
100 - 112 = 12%
Answer:C
Question: 12 men can complete a piece of work in 30 days. In how many days can 10 men complete that piece of work?
A.23
B.27
C.36
D.27
Answer: C.36
Explanation: 12 * 30 = 10 * x => x = 36 days
Answer:C
Question: If m is an integer such that (-2)^2m=2^(12-m) then m=?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: 2m = 12-m
3m = 12
m = 4
The answer is D.
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
A.50
B.40
C.20
D.30
Answer: B.40
Explanation: Let the mother's present age be x years. Then, the person's present age = 2/5 x years.
(2/5 x + 8) = 1/2 (x + 8)
2(2x + 40) = 5(x + 8) => x = 40
answer is B.
Question: In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 70 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
A.50%
B.53%
C.54%
D.55%
Answer: A.50%
Explanation: Say there are total of 100 registered voters in that city. Thus 60 are Democrats and 40 are Republicans.
60*0.70=42 Democrats are expected to vote for Candidate A;
40*0.20=8 Republicans are expected to vote for Candidate A.
Thus total of 42+8=50 registered voters are expected to vote for Candidate A, which is 50% of the total number of registered voters.
Answer: A
Question: A family consists of two grandparents, two parents, and three grandchildren. The average age of the grandparents is 65 years, the average age of the parents is 36 years, and the average age of the grandchildren is 5 years. What is the average age (in years) of the family?
A.31
B.32
C.33
D.34
Answer: A.31
Explanation: Total age of the grandparents = 65 Ã— 2 = 130
Total age of the parents = 36 Ã— 2 = 72
Total age of the grandchildren = 5 Ã— 3 = 15
Average age of the family = (130+72+15)/7 = 217/7 = 31 years
The answer is A.
Question: What is 992*992?
A. 974,169
B. 974,219
C. 984,064
D. 985,219
Answer: C. 984,064
Explanation: if you take a base of 1000 then 992 is 8 less than 1000
to get the product of 992 x 992 write like this
992- 8( as 8 less than base1000)
992- 8
now 8 x 8 = 64
and 992-8 = 984
so 992 x 992 = 984064 ... (bingo the answer is C . you can even have a shortcut ...... 8 x 8 = 64 ... only answer choice has last three digits as 64.. so no need to calculate 992-8 . after you get 8 x 8 you can straight way pick answer choice C.
Question: A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.40 per bag, and 25-pound bags $32.25	per bag. If a customer is to buy at least	65 pounds of the grass seed,	but no more than 80 pounds,	what is the least possible cost of the grass seed that the customer will buy?
A.$94.03
B.$96.75
C.$98.75
D.$102.07
Answer: C.$98.75
Explanation: there can be 2 cases
1)25+25+10+5=$98.75 or
2)25+25+25=$96.75
C
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
A.120
B.775
C.555
D.288
Answer: A.120
Explanation: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM { 600/ (36 * 5/18) , 600/ (54 * 5 /18) }
= LCM (60, 40) = 120 sec.
Answer: A
Question: An woman sitting in a train which is travelling at 25 kmph observes that a goods train travelling in a opposite direction, takes 3 seconds to pass him. If the goods train is 140 m long, find its speed.
A.141
B.142
C.143
D.144
Answer: C.143
Explanation: Relative speed = (140/3)m/s = (140/3)*(18/5) = 168 kmph
speed of goods train = 168-25 = 143 kmph
Answer is C
Question: Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P.
A.62%
B.50%
C.75%
D.66%
Answer: A.62%
Explanation: Explanation :
IF P+Q=62%
ANSWER IS A
Question: Find the least number must be subtracted from 899830 so that remaining no.is divisible by 16?
A.5
B.8
C.7
D.6
Answer: D.6
Explanation: On dividing 899830 by 16 we get the remainder 6, so 6 should be subtracted
D
Question: A candidate who gets 20% of the marks fails by 40 marks. But another candidate who gets 30% marks gets 20 marks more than necessary for passing. Find the number of marks for passing?
A.100 Marks
B.200 Marks
C.280 Marks
D.160 Marks
Answer: D.160 Marks
Explanation: 20% ------------ 40
30% ------------ 20
----------------------
10% ------------- 60
20% -------------- 120
120 + 40 = 160 Marks
Answer:D
Question: Find how many positive integers less than 10,000 are there such thatthe sum of the digits of the no. is divisible by 3?
A.2468
B.2789
C.2987
D.3334
Answer: D.3334
Explanation: If sum of the digits is divisible by 3, the number is divisible by 3.
Therefore, required number of non-negative integers is equal to count of numbers less than 10,000 which are divisible by 3.
Such numbers are (3, 6, 9, ... , 9999) (arithmetic progression with first term=3, last term=9999, common difference=3).
Count of such numbers =
9999
3
=
3333
99993=3333
But zero is also divisible by 3.
This makes our total count 3334
D
Question: A certain school implemented a reading program for its students, with the goal of getting each student to read 5 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
A.20cs
B.cs/2
C.60cs
D.(2cs)/12
Answer: C.60cs
Explanation: Ans: C
Solution: simple multiplication s students , c classes , 5 books/ month= 60 books a year
total number of books = 60cs
Question: Which of the following is a multiple of 6!-120?
A.5!+80
B.6!+320
C.5!+380
D.5!+480
Answer: D.5!+480
Explanation: The factorial 6! mean 6*5*4*3*2
Therefore 6!-120 =(6*5*4*3*2)-120
This gives you 720-120=600
valculating all the options the only option that gives a factor of 6!-120 is option D) 5!+480
Question: A chef cuts a watermelon along its horizontal diameter once and then along its vertical diameter twice at right angle to each other. A slice is removed (other pieces remains intact). What will be the total surface area of the remaining portion?
A.4*pi*r^2
B.4*pi*r^3
C.4*pi*r^4
D.4*pi*r^5
Answer: A.4*pi*r^2
Explanation: surface area of sphare is (4*pi*r^2)
if 1/4th parth is removed (4*pi*r^2)-(pi*r^2)= 3*pi*r^2
and the cut surface is (1/2*pi*4^2)*2
so total surface area is 4*pi*r^2
ANSWER:A
Question: If m = 3^n, what is the greatest value of n for which m is a factor of 28!
A.13
B.10
C.12
D.14
Answer: A.13
Explanation: Solution-
Consider multiples of 25!=> 3,6,9,12,15,18,21,24,27
Count no. of 3 in each multiple.
3=3x1->1
6=3x2->1
9=3x3->2
12=3x4->1
15=3x5->1
18=3x3x2->2
21=3x7->1
24=3x8->1
27=3x3x3->3
---- count 3's =13 so answer is 13
Answer : A
Question: How many integers between 1000 and 10000 have
no digits other than 4, 5 or 6?
A.91
B.51
C.81
D.71
Answer: C.81
Explanation: Any number between 1,000 and 10,000 is of 4 digits. The unit’s place can be filled up by 4,5 or 6, that is, in 3 ways.
Similarly, the ten’s place can be filled up by 4 or 5 or 6, that is in 3 ways. The hundred’s place can be filled up by 4, 5 or 6, that is in 3 ways and the thousand’s place can.be filled up by 4 or 5 or 6, that is, in 3 ways.
Hence the required numbers = 3 x 3 x 3 x 3 = 81
ANSWER:C
Question: United Telephone charges a base rate of $7.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
A.200 minutes
B.100 minutes
C.120 minutes
D.140 minutes
Answer: B.100 minutes
Explanation: Lets take number of minutesx.
Given that, 7+0.25x=12+0.2x ->0.05x=2 -> x=100minutes
ANS B
Question: A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability Q that the team will have exactly 2 women?
A.1/14
B.1/7
C.2/7
D.3/7
Answer: D.3/7
Explanation: 5C2 * 3C2 -> it gives combination of exactly 2 women and 2 men.
8C4 -> gives total possibilities of 4 people from 5 women and 3 men.
Probability = 5C2*3C2 / 8C4 = 3/7
SECOND METHOD:
Probability of two women -> 5/8 * 4/7.
probability of two men -> 3/6 * 2/5.
Probability: (5/8 * 4/7) * (3/6 * 2/5) = 1/14.
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
A.1/8
B.1/1
C.1/5
D.1/4
Answer: C.1/5
Explanation: Explanation:
10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5
Answer:C
Question: Is a given rectangular block, a cube?
I. At least 2 faces of the rectangular block are squares.
II. The volume of the block is 64.
A.I alone sufficient while II alone not sufficient to answer
B.II alone sufficient while I alone not sufficient to answer
C.Either I or II alone sufficient to answer
D.Both I and II are not sufficient to answer
Answer: D.Both I and II are not sufficient to answer
Explanation: EXPLANATION
I gives, any two of l, b, h are equal.
II gives, lbh = 64.
From I and II, the values of l, b, h may be (1 ,1 , 64), (2 ,2 ,16), (4, 4, 4).
Thus, the block may be a cube or cuboid.
Correct answer is (D).
Question: If s is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT
A.z - w = 3(y - x)
B.s is divisible by 8
C.The average of w, x, y, and z is odd
D.s is divisible by 4
Answer: B.s is divisible by 8
Explanation: Just assume that the numbers are 2a, 2a+2, 2a+4 and 2a+6.
s = 2a + 2a+2 + 2a+4 + 2a+6 = 8a + 12
Focus on the easiest options first. You see that s is not divisible by 8. Answer (B)
Question: A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 80%?
A.10.8
B.20.8
C.28.8
D.18.8
Answer: C.28.8
Explanation: C.P. of 6 toffees = Re. 1
S.P. of 6 toffees = 480% of Re. 1 = Rs.24/5
For Rs. 24/5 , toffees sold = 6.
For Re. 1, toffees sold = 6 x 24/5 =28.8.
Answer C
Question: 5. Find the value for log58 + 5(1/1000)
A.3
B.-3
C.4
D.-4
Answer: B.-3
Explanation: Solution:
log58 + 5(1/1000) = loglog5(8 x 1/1000)
= log5(1/125)
= log5(1/5)3
= log5(5)-3
= -3log5(5)
= -3 x 1
= -3
ANSWER IS B
Question: If the President and Vice President must sit next to each other in a row with 2 other members of the Board, how many different seating arrangements are possible?
A.120
B.240
C.12
D.360
Answer: C.12
Explanation: We need to take President and VP as one unit. Therefore we have 3 people to arrange=3! ways
Also, we both President and VP can be arranged in 2 ! ways.
Reqd no of ways=3!*2!=12 ways
Answer C