divelab/Sys2Bench huggingface dataset:
Question: Find the simple interest on $10000 at 7% per annum for 12 months?
Options:
A)$410
B)$500
C)$650
D)$700
E)$1000
Rationale: P = $10000
R = 7%
T = 12/12 YEARS = 1 YEAR
S.I. = P*R*T/100 = 10000*7*1/100 = $700
Answer is D
Answer: D
Question: In how many ways can the letters D, G, G, I, T be arranged so that the two I's are not next to each other?
Options:
A)36
B)48
C)72
D)96
E)128
Rationale: 1 D
2 I
1 G
1 T
Number of ways these letters can be arranged = 5!/2! (2! to account 2 same Is) = 60
Consider 2 Is as 1 entity and thus the number of arrangements for (GG)DIT = 4! = 24
Total allowed cases = 60-24 =36
A is the correct answer.
Answer: A
Question: A positive integer x has 60 divisors and 7x has 80 divisors. What is the greatest integer y such that 7y7y divides n?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: Total number of factors of x = 60 = (p+1)*(q+1)*(r+1)... = 2^2 * 3 * 5
Now note that 7x has only one 7 more than x. The number of all other prime factors stays the same.
Total number of factors of 7x = 80 = (p+2)*(q+1)*(r+1)... = 2^4 * 5
Here, the 3 of previous expression has disappeared so it must have converted to 4. Does it make sense? Let's see:
Total number of factors of x = 60 = 2^2 * 3 * 5 = (3+1)*(2+1)*(4+1)
Total number of factors of 7x = 80 = 2^2 * 4 * 5 = (3+1)*(3+1)*(4+1)
The powers of other factors stay the same. Only the power of 7 increases by 1. So initially, in x, the power of 7 must have been 2. Hence the maximum value of y must be 2.
Answer (C)
Answer: C
Question: A third of Arunâ€™s marks in mathematics exceed a half of his marks in English by 10.If he got 230 marks in two subjects together how many marks did he got in English?
Options:
A)140,90
B)180,60
C)160,90
D)150,80
E)None of them
Rationale: Let Arunâ€™s marks in mathematics and English be x and y
Then (1/3)x-(1/2)y=10
2x-3y=60â€¦â€¦>(1)
x+y=230â€¦â€¦.>(2)
solving (1) and (2)
x=150
and y=80
Answer is D.
Answer: D
Question: The length of the ribbon was originally 55cm. It was reduced in the ratio 11 : 7. What is its length now?
Options:
A)6 cm
B)12 cm
C)35 cm
D)44 cm
E)None of these
Rationale: Explanation :
Length of ribbon originally = 55 cm
Let the original length be 11x and reduced length be 7x.
But 11x = 55 cm
x = 55/11 cm = 5 cm
Therefore, reduced length = 7x cm
= 7 5 cm = 35 cm
Answer : C
Answer: C
Question: The C.P of 10 pens is equal to the S.P of 14 pens. Find his gain % or loss%?
Options:
A)loss 16 2/8%
B)loss 28.57%
C)loss 16 2/3%
D)loss 18 2/3%
E)loss 16 25%
Rationale: 10 CP = 14 SP
14 --- 4 CP loss
100 --- ? => 28.57% loss
Answer:B
Answer: B
Question: John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/1 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have?
Options:
A)45
B)65
C)98
D)107
E)198
Rationale: Rakesh : Rahul : Ranjan : Rohit = 1 / 1 : 1 / 3 : 1 / 4 : 1 / 5
Step 1: At First we need to do is LCM of 2,3,4 and 5 is 60.
Step 2: Then pencil are distributed in ratio among friends,
Rakesh = ( 1 / 1 x 60 ) = 60.
Rahul = ( 1 / 3 x 60 ) = 20.
Ranjan = ( 1 / 4 x 60 ) = 15.
Rohit = ( 1 / 5 x 60 ) = 12.
Step 3: Total number of pencils are ( 60 x + 20 x + 15 x + 12 x) = 107 x.
For minimum number of pencils x = 1 .
The person should have at least 107 pencils.
D)
Answer: D
Question: If x and y are odd integers, which of the following must always be a non-integer
Options:
A)x^2 y
B)-x^2y
C)y/x
D)xy/4
E)x/y
Rationale: as X and Y are odd, multiplication of x and y would result in odd integer
(Odd Integer)/4 will always be non integer.
D
Answer: D
Question: What is the compound interest paid on a sum of Rs.3500 for the period of 2 years at 10% per annum.
Options:
A)630
B)735
C)825
D)600
E)None of these
Rationale: Solution= Interest % for 1st year= 10
Interest % for 2nd year= 10+ 10% of 10= 10+ 10 *10/100=11
Total % of interest= 10 + 11=21
Total interest = 21 % 3500 = 3500* (21/100)= 735
Answer B
Answer: B
Question: After 10% of the inhabitants of a village disappeared, a panic set in during which 25% of the remaining inhabitants left the village. At that time, the population was reduced to 4860. What was the number of original inhabitants?
Options:
A)7000
B)7200
C)7400
D)7600
E)7800
Rationale: Let the total number of original inhabitants be x.
(75/100) * (90/100) * x = 4860
(27/40) * x = 4860
x = 4860 * 40 / 27 = 7200
The answer is B.
Answer: B
Question: Which of the following points is symmetric with y=x at (-2,-3)?
Options:
A)(-3,-2)
B)(-2,1)
C)(2,1)
D)(-1,-2)
E)(-1,2)
Rationale: We can think of line y = x as a mirror. Any point (x,y) becomes (y,x) when it isreflectedover the mirror. Reverse the coordinate and keep the same sign. These two points will be symmetric to the line y = x.
(-2,-3) would become (-3,-2).
Answer (A).
Answer: A
Question: Find the odd man out. 12, 24, 34, 48, 64, 84
Options:
A)34
B)48
C)24
D)12
E)64
Rationale: All numbers except 34 are multiples of 4
Answer is A
Answer: A
Question: In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Options:
A)20 m
B)22 m
C)32 m
D)40 m
E)30 m
Rationale: Distance covered by B in 9 sec. =(100/45 x 9) m = 20m
THEREFORE - A beats B by 20 metres.
ANSWER:A
Answer: A
Question: John purchased some shirts and trousers for $800. He paid $400 less for the shirts than he did for the trousers. If he bought 5 shirts and the cost of a shirt is $20 less than that of a trouser, how many trousers did he buy?
Options:
A)4
B)5
C)6
D)7
E)10
Rationale: Given that the total purchase of two items cost 800.
So the average purchase of one item will cost 800/2 = 400.
Its given as total shirt cost 400$ less. Hence Total Shirt cost = 400 - 200 and Total trouser cost = 400 + 200
5 shirts = 200$ ==> One shirt = 40$
One trouser = 40 + 20 = 60$
Total trousers = 600 / 60 =10.
E
Answer: E
Question: A man spends 1/3rd of his salary on food. he spends 1/4th on rent and 1/5th on cloths. If he is left with 1760, then who much salary does he earn.
Options:
A)8120
B)8123
C)8222
D)8322
E)8422
Rationale: let salary be x
total spent=( x/3 + x/4 +x/5 )= (47/60)*x
left = (x-47x/60)=(13/60)*x
given,(13/60)*x = 1760
x=(1760*60)/13=8123.077=8123(approax)
ANSWER:B
Answer: B
Question: A car gets 24 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
Options:
A)96
B)100
C)104
D)108
E)112
Rationale: Originally, the distance the car could go on a full tank was 12*24=288 miles.
After it has been modified, the car can go 24/0.75=32 miles per gallon.
On a full tank, the car can go 32*12= 384 miles, thus 96 miles more.
The answer is A.
Answer: A
Question: 62, 60, 55, 53, 48, 46, ?
Options:
A)15
B)23
C)41
D)25
E)28
Rationale: This is a simple alternating subtraction series, with a pattern -2, -5, -2, -5 ....
Answer : C.
Answer: C
Question: 240 is increased by 20%. Find the final number.
Options:
A)200
B)210
C)180
D)288
E)220
Rationale: ExplanationFinal number = Initial number + 20%(original number) = 240 + 20%(240) = 240 + 48 = 288.Answer D
Answer: D
Question: In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 250 more than the correct answer. Find the number.
Options:
A)125
B)280
C)384
D)480
E)500
Rationale: Explanation:
Let the number be x.
5*x/6 = 5*x/16 + 250
25*x/48 = 250
x = 480
ANSWER D
Answer: D
Question: The average value of property of Mittal, Ambani and Singhania is Rs.11111 crore. The property of Singhania is as less than the property of Mittal is greater than the average property of both the Singhania and Mittal. The value of property of Ambani is?
Options:
A)Rs. 17111 crore
B)Rs. 11121 crore
C)Rs. 11111 crore
D)Rs. 12111 crore
E)Rs. 11611 crore
Rationale: Explanation:
{M+A+S}{3}=11111
{S+M}{2}=11111 (\inline \because M - 11111 = 11111 - S)
Rightarrow A = 11111
Answer: C
Answer: C
Question: Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 50hr. If all pipes are opened simultaneously, then the cistern will be filled in
Options:
A)6.12 hr
B)8 hr
C)8.5 hr
D)10 hr
E)None of these
Rationale: Solution:
Work done by all the tanks working together in 1 hour.
1/10+1/12−1/50=8/49
Hence, tank will be filled in 49/8=6.12 hour
Option(A)
Answer: A
Question: A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
Options:
A)125 miles
B)225 miles
C)325 miles
D)425 miles
E)525 miles
Rationale: During each hour, the car travels 65 miles. For 5 hours it will travel
65 + 65 + 65 + 65 + 65 = 5 × 65 = 325 miles
correct answer is C) 325 miles
Answer: C
Question: The ages of Rahul and Madhan differ by 16 years. Six years ago, Madhan’s age was thrice as that of Rahul’s,find their present ages
Options:
A)14 years, 30 years
B)12 years, 28 years
C)16 years, 34 years
D)18 years, 38 years
E)none of these
Rationale: Let Rahul’s age = x years
So, Madhan’s age = ( x + 16 )years
Also, 3(x - 6) = x + 16 - 6 or, x = 14
Rahul’s age = 14 years
And, Madhan’s age 14 + 16 = 30 years
ANSWER:A
Answer: A
Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
Options:
A)25 years
B)16 years
C)8 years
D)6 years
E)12 years
Rationale: Sol. Total age of 39 persons = (39 x 15) years
= 585 years.
Average age of 40 persons= 15 yrs 3 months
= 61/4 years.
Total age of 40 persons = (_(61/4 )x 40) years= 610 years.
:. Age of the teacher = (610 - 585) years=25 years
Ans: A
Answer: A
Question: If .005^5 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
Options:
A)0
B)8
C)9
D)10
E)11
Rationale: 0.005^5= (5*10^-3)^5 = 3125*10^-15 = 0.3125*10^-11 which would have 11 zeros to the right of the decimal point. The answer is E.
Answer: E
Question: Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 14 years older than Larry, how old is Annie?
Options:
A)7
B)12
C)19
D)26
E)34
Rationale: J = L+14
(1) 2(A+3) = L+3
(2) 3(A+5) = J+5 = L+19
Let's subtract equation (1) from equation (2)
A+9 = 16
A = 7
The answer is A.
Answer: A
Question: The ratio of boys to girls in Class A is 5 to 4. The ratio of boys to girls in Class B is 4 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: Since it is given that the ratio of boys to girls in Class A is 3 to 4 - so we can quickly eliminate the answer choices which are not multiples of 4.
so ans can either be 8 0r 12.
With 8 as answer - no of girls = 8
With 12 as answer - no of girls = 12
Now Class A has one more boy and two more girls than class B and also the ratio of boys to girls in Class B is 4 to 5.
So we are looking for number of girls in B to be divisible by 5.
With 8 as answer -> Girls = 8-2 = 6. (Not possible)
With 12 as answer -> Girls = 12-2 = 5.
So, answer = 11. ( D)
Answer: D
Question: After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
Options:
A)33
B)88
C)20
D)99
E)77
Rationale: 1/3 ---- 6
1 -------? A = 18
R = 1/18 * 60/100 = 1/30
1 ----- 1/30
2/3 ----? => 20 days
Answer:C
Answer: C
Question: (128.5 x 60) + (13.8 x 65) = ? x 25
Options:
A)524.48
B)344.28
C)574.36
D)585.64
E)595.46
Rationale: Explanation :
? = (128.5 x 60) + (13.8 x 65)/25
= 7710 + 897/25 = 344.28
Answer : Option B
Answer: B
Question: A pack of people can complete a certain amount of work in 12 days. Two times the same number of persons will complete half of the work in?
Options:
A)7 days
B)9 days
C)6 days
D)3 days
E)5 days
Rationale: Explanation:
More no of people: Less days (Inverse Relationship)
More work: More days (Direct Relationship)
Ratio is given:
Persons: 1 :: 2
Work 1 :: 1/2
Time 12 :: x
Solution of this can be explained by solving this ratio by the sort of relationships they possess with time.
1*1/2*12 = 2*1*x
=> x = 3 days
ANSWER: D
Answer: D
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $11. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Options:
A)90/(xy)
B)90xy
C)xy/90
D)xy/10
E)99/(xy)
Rationale: The area of the carpet in feet is xy.
The area in square yards is xy / 9.
The price per square yard is 11 / (xy/9) = 99/(xy).
The answer is E.
Answer: E
Question: What is the value of 1 *1! +2 *2!+3 *3! + .............. n *n!
where n! means n factorial or n(n-1)(n-2) ............1.
Options:
A)n *(n−1) *(n−1)!
B)[(n+1)!/{n*(n−1)}]
C)(n+1)! −n!
D)(n+1)! −1!
E)None
Rationale: Solution:
1*1! =(2-1)81! =2 *1! -1*1!= 2!-1!
2*2!=(3-1)*2!=3*2!-2!=3!-2!
3*3!=(4-1)*3! =4*3!-3! = 4!-3!
..
..
..
n*n!=(n+1-1)*n! =(n+1)(n!)-n!=(n+1)!-n!
Summing up all these terms, we get (n+1)! - 1!
Answer D
Answer: D
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Options:
A)387
B)200
C)289
D)128
E)192
Rationale: Explanation:
The number of ways to select two men and three women = 5C2 * 6C3
= (5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)
= 200
Answer: B
Answer: B
Question: How many bricks, each measuring 25 cm x 11 cm x 6 cm, will be needed to build a wall of 2 m x 3 m x 2 cm?
Options:
A)5600
B)6000
C)73
D)7200
E)8600
Rationale: Number of bricks =Volume of the wall/Volume of 1 brick =	(200 x 300 x 2)/(25 x 11 x 6) = 72.7=73.
Answer: Option C
Answer: C
Question: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 72 floors per minute. At the same time Joyce gets on an elevator on the 61st floor of the same building and rides down at a rate of 78 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
Options:
A)19
B)28
C)30
D)35
E)44
Rationale: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 72 floors per minute. At the same time Joyce gets on an elevator on the 61st floor of the same building and rides down at a rate of 78 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
50 floors/150 floors per minute=1/3 minutes
11+72/3=35
61-78/3=35
Answer : D
Answer: D
Question: A dealer originally bought 300 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?
Options:
A)q/200
B)3q/2
C)450q
D)q/300
E)450/q
Rationale: The cost of each battery was q/300.
Each battery was sold for 1.5q/300 = 3q/600 = q/200.
The answer is A.
Answer: A
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
A)27
B)29
C)30
D)34
E)35
Rationale: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27
A
Answer: A
Question: A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 70% have red flags, what percentage of children have flags of both the colors?
Options:
A)5%
B)10%
C)15%
D)20%
E)30%
Rationale: Solution: let the total number of flags be 100(even number)
let the total number of 'blue' flags alone be 'a'
let the total number of 'red' flags alone be 'b'
let the total number of 'both' flags be 'c'
We have given,
total number of blue flags = 60% = 60 = a+c
total number of red flags=70%=70=b+c
total number of flags = a+b+c=100 (since all the flags have been utilized)
So, substituting for c in the third equation, we have,
60-c+c+70-c=100
c=30
Option E.
Answer: E
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 4x km.
Options:
A)16
B)18
C)32
D)19
E)12
Rationale: Total time taken = x/40 + 2x/20 hours
= 5x/40 = x/8 hours
Average speed = 4x/(x/8) = 32 kmph
Answer: C
Answer: C
Question: A motorcyclist goes from Bombay to Pune, a distance of 288 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
A)1:2
B)1:5
C)1:4
D)2:3
E)1:8
Rationale: T = 288/32 = 9 h
T = 9 - 3 = 6
Time Ratio = 9:6 = 3:2
Speed Ratio = 2:3
Answer: D
Answer: D
Question: John bought 2 shares and sold them for $78 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Options:
A)a profit of $10
B)a profit of $6.5
C)a loss of $6.5
D)a loss of $10
E)neither a profit nor a loss
Rationale: Loss% = (%age Profit or loss / 10)^2 = (20/10)^2 = 4% loss
Total Selling Price = 78*2 = $156
Total Cost Price = 156/(0.96) = $162.5
Loss = 162.5 - 156 = $6.5
Answer: Option C
Answer: C
Question: A tank contains 10,000 gallons of a solution that is 6 percent sodium chloride by volume. If 6,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Options:
A) 1.25%
B) 3.75%
C) 6.25%
D) 6.67%
E) 15%
Rationale: The remaining solution will be approximately what percent sodium chloride?means:what percent of the remaining solution is sodium chloride. Now, since the remaining solution is 10,000-6,000=4,000 gallons and sodium chloride is 600 gallons (6% of initial solution of 10,000 gallons) then sodium chloride is 600/4,000*100=15% of the remaining solution of 4,000 gallons.
Answer: E.
Answer: E
Question: In the following sequence: [x, y, z, 6, 8, 16, 28] each number is equal to the sum of the three numbers preceding it. What is x+2y?
Options:
A)8
B)6
C)5
D)3
E)4
Rationale: lets start from z, as per the question stem
z + 6 + 8 = 16
-->> z= 2
similarly, y +2 + 6 = 8
--> y = 0
similarly,, x + 0 + 2 = 6
--> x = 4
hence , x+2y = 4-0 = 4 --> x+2y=4
ANSWER:E
Answer: E
Question: If |x + 3| = 15, what is the sum of all the possible values of x?
Options:
A)-16
B)-12
C)-8
D)-3
E)11
Rationale: There will be two cases
x+3 = 15 or x+3 = -15
=> x = 12 or x= -18
sum of both the values will be -18 + 15 = -3
Answer: D
Answer: D
Question: list of salaries of 8 employees are listed below. What is the median salary? $40,000, $29,000, $35,500, $31,000, $43,000, $30,000, $27,000, $32,000
Options:
A)$20,500
B)$21,000
C)$22,500
D)$30,550
E)$31,500
Rationale: Ordering the data from least to greatest, we get:
$27,000, $29,000, $30,000, $31,000, $32,000, $35,500, $40,000, $43,000
Since there is an even number of items in the data set, we compute the median by taking the mean of the two middlemost numbers.
$31,000 + $32,000 = $63,000
The median salary is $31,500.
E
Answer: E
Question: What is the remainder when 3^26 is divided by 5?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: The units digit of powers of 3 follow a repeating cycle of four: {3, 9, 7, 1}
26 has the form 4k+2, so the units digit of 3^26 is 9.
The remainder when dividing by 5 is 4.
The answer is E.
Answer: E
Question: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Options:
A)87
B)25
C)26
D)28
E)21
Rationale: Let the pipe B be closed after x minutes.
30/16 - x/24 = 1 => x/24 = 30/16 - 1 = 14/16
=> x = 14/16 * 24 = 21.
Answer:E
Answer: E
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?
Options:
A)90 sec
B)28 sec
C)78 sec
D)87 sec
E)26 sec
Rationale: Let the length of each train be x m.
(x + x) / (60 + 30)5/18 = (750 * 18) / (30 * 5)
= 90 sec.
Answer:A
Answer: A
Question: If December 3rd, 1999 is a Friday, what day is January 8th, 2000?
Options:
A)Wednesday
B)Thursday
C)Friday
D)Saturday
E)Sunday
Rationale: There is difference of 36 days from Dec. 3rd 1999 to Jan. 8th 2000.
36/7 has a remainder of 1.
Jan. 8th is: Friday + 1 day = Saturday
The answer is D.
Answer: D
Question: If the number of fatalities from road accidents declined from 9,680 in 1988 to 9,600 in 1989 and then declined a further 20% from 1989 to 1990, what was the approximate percentage decline in the number of fatalities from 1988 to 1990?
Options:
A)12
B)16
C)21
D)37
E)43
Rationale: We have decline from 9,680 to 9,600 (by 80 points) and then by 20%. Now, since 80 is less than 1% of 9,680, thus the overall decline would be slightly more than 20%. Only answer choice C fits.
Answer: C.
Answer: C
Question: A password for a computer uses four digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
Options:
A)1/32
B)1/16
C)1/8
D)2/5
E)1/2
Rationale: To calculate all the possibilities, there are 10 choices for each digit. The number of possibilities for five digits is 10 × 10 × 10 × 10 = 10,000 possible combinations.
Prime numbers constitute 2, 3,and 5 . In addition to zero, this is 4 total possibility for each digit. So the number of satisfactory variants is 4 × 4 ×4 × 4 So the probability is 1/2 × 1/2 × 1/2 × 1/2 = 1/16.
The right answer is choice (B).
Answer: B
Question: A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 12%. Their gross income from sales for one month increases by what percent?
Options:
A)0.4%
B)0.8%
C)2%
D)4%
E)8%
Rationale: Let P be the original price and let x be the number of items sold originally.
The original income is P*x.
After the changes, the income is 0.9P*1.12x = 1.008*(P*x), an increase of 0.8%.
The answer is B.
Answer: B
Question: Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 18km/hr, then find the area of square field.
Options:
A)125
B)182.25
C)325
D)425
E)None of these
Rationale: Explanation :
D = 18*3/2 = 27 km. So side of square is 13.5km, so area – 182.25km^2
Answer – B
Answer: B
Question: In 10 years, A will be twice as old5as B was 10 years ago. If A is now 11 years older than B, the present age of B is
Options:
A)35
B)37
C)39
D)41
E)42
Rationale: Explanation:
Let B's age = x years.
Then, As age = (x+ 11) years.
(x+11+10)=2(x—10)
hence x=41.
Present age of B = 41 years
Answer: Option D
Answer: D
Question: Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $125, $155, $199, $199, $209
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: Taking the prices of products in ascending order(already arranged)
$50, $50, $97, $97, $97, $120, $125, $155, $199, $199, $209
we see that median value is the 6th value as there in total 11 values given
Arithmetic mean = total/number of entries = 1398/11 =127.9090
We are asked to find how many unit sales on that day were greater than the mean sale price but less than the median sale price
as we can clearly see that there is one value between $120 and $127.90, answer is 1 unit
Correct Answer - B
Answer: B
Question: A towel, when bleached, lost 20% of its length and 10% of its breadth. What is the percentage decrease in area?
Options:
A)26
B)28
C)24
D)20
E)22
Rationale: Formula for percentage change in area is:
=(−x−y+(xy)/100)%
=(−20−10+(20×10)/100)%=−28%
i.e., area is decreased by 28%
Answer is B.
Answer: B