divelab/Sys2Bench huggingface dataset:
Question: A shepherd has 1 million sheep at the beginning of Year 2010. The numbers grow by xx during the yr. A famine hits his village in the next year & many of his sheep die. The sheep population decreases by yy during 2001 and at the beginning of 2011 the shepherd finds that he is left with 1 million sheep. Which of the following is correct?
Options:
A)x<y
B)x>y
C)x=y
D)x<=y
E)x>=y
Rationale: Let us assume the value of xx to be 10%10%.
Therefore, the number of sheep in the herd at the beginning of year 2001 (end of 2000) will be 1 million + 10%10% of 1 million = 1.1 million
In 2001, the numbers decrease by y%y% and at the end of the year the number sheep in the herd = 1 million.
i.e., 0.1 million sheep have died in 2001.
In terms of the percentage of the number of sheep alive at the beginning of 2001,
it will be (0.1/1.1)×100%=9.09%(0.1/1.1)×100%=9.09%.
From the above illustration it is clear that x>y
B
Answer: B
Question: If x is an integer, which of the following is a possible value of W=(x^2 +2x – 7)/9?
Options:
A)-2.4
B)0.268
C)1.166 repeating
D)4.555 repeating
E)8.125
Rationale: x is an integer, which of the following is a possible value of W= (x^2 +2x – 7)/9?
Used process of elimination
A. -2.4
when this is multiplied by 9, x is not an integer
B. 0.268
when this is multiplied by 9, x is not an integer
C. 1.166 repeating
when this is multiplied by 9, x is not an integer
D. 4.555 repeating
E. 8.125
when this is multiplied by 9, x is not an integer
Answer choice D seems to fit.D
Answer: D
Question: if Juan takes 14 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Options:
A)14x/y
B)11y/x
C)x/11y
D)11/xy
E)xy/11
Rationale: Answer is A.
The rate of running hards: 14 minutes per y hards.
Thus the time for running x hards = x hards * 14 minutes/y hards = 14x/y
Answer: A
Question: A cylinder is sliced by a plane to form the solid
shown. The base edge of the solid is a circle
of radius 3. The top edge is an ellipse. The
highest point on the ellipse is 6 units above the
base. The lowest point on the ellipse is 2 units
above the base. What is the volume, in cubic
units, of the solid?
Options:
A)24π
B)30π
C)36π
D)42π
E)48π
Rationale: The plane parallel to the base passing through the center of the ellipse will cross the ellipse
along its minor axis. If we cut the solid along this plane and flip the top piece that is sliced off 180
degrees around the minor axis, the solid becomes a cylinder with the base of area 9 and height
(2 + 6)/2 = 4. The volume is therefore 36π.
correct answer C
Answer: C
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 20000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
Options:
A)20
B)49
C)22
D)23
E)NONE
Rationale: Sol.
Let the total number of workers be x. Then,
8000x = (20000 × 7) + 6000 ( x – 7)
‹=› 2000x = 98000
‹=› x = 49.
Answer B
Answer: B
Question: A small company is planning to rent either computer A or computer B to print customer mailing lists. Both computer A and computer B must be rented on an hourly basis. The rental fee is based only on the amount of time the computer is turned on. It will cost 40 percent more per hour to rent computer A than to rent computer B. Computer B would, however, require 20 hours more than computer A to do the job. If either computer A, or computer B were rented the total cost to rent the computer would be $650.00. What would be the approximate hourly charge to rent computer B?
Options:
A)$9.28
B)$11.30
C)$13.20
D)$17.80
E)$22.10
Rationale: Pa = price of A
Pb = price of B
Ta = time for A to complete the job
Tb = time for B to complete the job
Given
Pa = 1.4 Pb
Ta+20 = Tb
Pa*Ta = Pb*Tb=650
1.4Pb * (Tb-20) = Pb*Tb
1.4 Pb Tb - Pb Tb = 1.4 Pb * 20
0.4PbTb = 28Pb
Tb = 28/0.4 = 70
Pb=650/70 ~ 9.28
A
Answer: A
Question: Mr. Gangadhar, Mr. Ramesh and Mr. Shridhar together earned 19800. The ratio of earnings between Mr. Gangadhar and Mr. Ramesh is 2 : 1 while that between Mr.Ramesh and Mr. Shridhar is 3 : 2. How much did Mr. Ramesh earn?
Options:
A)3600
B)5400
C)1800
D)6300
E)None of these
Rationale: Ratio of investment = 6 : 3 : 2
∴ Share of Mr. Ramesh = 3⁄11 × 19800 = 5400
Answer B
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 12 cups of tea are prepared, 6 in one way and 6 in other. Find the different possible ways of presenting these 12 cups to the expert.
Options:
A)252
B)240
C)300
D)924
E)None
Rationale: Solution:
Since, there are 6 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,
[12!/(6!x 6!)]= 924
Answer: Option D
Answer: D
Question: when W is divided by 13, the reminder is 0. if W is one more than it value and when divided by 10 its remainder is 0. what is the value of W ?
Options:
A)39
B)26
C)14
D)13
E)52
Rationale: W is divided by 13 so that is multiple of 14 as 13,26,39...
W+1 is divided by 10 the remainder is 0 so it is divisible by 10. Consider from option let us take the number is 39 it is divisible by 13 but 39+1 is divisible by 10 so ans is A
Answer: A
Question: A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 40% impurities to the product. Find the net profit percentage of the dealer?
Options:
A)94%
B)87.5%
C)55%
D)56.25%
E)36%
Rationale: The dealer uses weight which is 20% less than the real weight. or (1- 1/5) or 4/5 of real weight.
It means that he is selling $4 worth of product for $5.
The dealer then further added 50% impurities to the product.
It means that he is selling $5 worth of product for $7.5.
So his profit is $7.5-$4 = $3.5
and his profit percent is
(3.5/4)*100 = 87.5%
Answer:- B
Answer: B
Question: If A exceeds B by 40%, B is less than C by20%, then A : C is :
Options:
A)28:25
B)26:25
C)3:2
D)3:1
E)28:27
Rationale: A = B + 40% of B
A = 140/100 * B
Now,
A/B = 14/10
B = C - 20% of C
B = 80/100 *C
B/C = 8/10
SO,
A/C = (A/B) * (B/C) = (14 *8) / (10 *10) = 28 : 25.
answer - Option A
Answer: A
Question: How many 4-digit Z numbers (ABCD) can be formed such that |A – D| = 2?
Options:
A)2,000
B)1,900
C)1,800
D)1,600
E)1,500
Rationale: 1) A=0 and D-8
2) A and D as 1 and 9..so 3*100= 300 extra ways ans 1800-300 = 1500.
we are looking for |A-D|=2 so any of the two can be bigger..
these two can have values (1,3) ; (2,4) so on till (7,9) so total 7*2 = 14..
another arrangement could be A as 2 and D as 0... D as 2 and A as 0 is not possible as number will become 3 digits..
so the ways A and D can be placed = 14+1=15 ways..
B and C can be placed in 10*10 ways..
Total Z= 15*10*10=1500.E
Answer: E
Question: If f(x) =4* (x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)?
Options:
A)f(x)
B)-f(x)
C)-4*f(x)
D)-1/f(x)
E)2*f(x)
Rationale: 4*f(1/x) = 4*((1/x)^4 - 1) / ((1/x)^2)
= 4*((1/x^4) - 1) / (1/x^2)
= 4*((1-x^4)/(x^4)) / (1/x^2)
=4* (1-x^4)/(x^2)
= - 4*( (x^4) -1) / (x^2)
= -4f(x)
Answer is C.
Answer: C
Question: A cheetah can at 65 mph but only for a maximum of 6 minutes before it exhausts itself. How many miles can the cheetah run before tiring out? Round to the nearest hundredths place.
Options:
A)5 miles
B)5.50 miles
C)6 miles
D)6.50 miles
E)7 miles
Rationale: 65 mph x (6/60)= 6.5 miles
Answer D
Answer: D
Question: A man took a loan from a bank at the rate of 8% 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 :
Options:
A)Rs. 2000
B)Rs. 10,500
C)Rs. 15,500
D)Rs. 22,500
E)None
Rationale: Solution
Principal = Rs.(100x5400/8x3)= Rs.22,500.
Answer D
Answer: D
Question: Six bells commence tolling together and toll at intervals of 1,2,3,4,5,6 seconds respectively. In 30 minutes, how many times do they toll together?
Options:
A)44
B)31
C)15
D)16
E)17
Rationale: L.C.M of 1,2,3,4,5,6 is 180. i.e after each 1 min they will toll together.So in 30 min they will toll 30 times.As they have initially tolled once,The answer will be 30+1=31.
ANSWER:B
Answer: B
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
A.
B.
C.
D.
Answer: Option D
Explanation:
Options:
A)70 km/hr
B)75 km/hr
C)87.5 km/hr
D)84 km/hr
E)75.6 km/hr
Rationale: Let the speed of two trains be 7x and 8x km/hr.
Then, 8x =	400/4	= 100
x =	100/8 = 12.5
8 Speed of first train = (7 x 12.5) km/hr = 87.5 km/hr.
answer :C
Answer: C
Question: How many positive integers less than 26 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
Options:
A)27
B)21
C)24
D)22
E)20
Rationale: 9 prime numbers less than 28: {2, 3, 5, 7, 11, 13, 17, 19, 23}
3 odd multiples of 5: {5, 15, 25}
10 numbers which are the sum of a positive multiple of 2 and a positive multiple of 4: {6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
Notice, that 5 is in two sets, thus total # of integers satisfying the given conditions is 9+3+10-1=21.
Answer: B.
Answer: B
Question: If the Average of 10 consecutive integers is 23.5 then the 10th integer is :-
Options:
A)15
B)20
C)23
D)28
E)25
Rationale: The average falls between the 5th and 6th integers,
integer 5 = 23, integer 6 = 24.
Counting up to the tenth integer
we get 28.
ANSWER:D
Answer: D
Question: 3,9,12,15,18,__
Options:
A)19
B)20
C)22
D)21
E)41
Rationale: 9=3*3
12=3*4
15=3*5
18=3*6
21=3*7
ANSWER:D
Answer: D
Question: How many 4's are there preceded by 7 but not followed by 3?
5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3
Options:
A)4
B)5
C)6
D)8
E)9
Rationale: 7 4 2
7 4 6
7 4 1
7 4 6
Only at these placees 4 is preceded by 7 but not followed by 3
Answer: A
Answer: A
Question: Alex has 4 pens worth of {22, 25, 30, 40}, what is the total mean and median of the worth of pens ?
Options:
A)3.42
B)6.16
C)8.32
D)2.0
E)1.75
Rationale: This is a good question to understand the difference between mean and median.
Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)
Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median
Coming to this question,
Mean = (22+ 25+ 30+ 40)/4 = 29.25
Median = (25 + 30)/2 = 27.5
Total = 1.75
Option E
Answer: E
Question: oy started cycling along the boundaries of a square field from corner point A. After half an hour he reached the corner point C, diagonally opposite to A. If his speed was 8km/hr, the area of the filed in square km is?
Options:
A)64
B)4
C)16
D)9
E)5
Rationale: Explanation :
Distance covered by Roy in 1/2hr = 4 kmTherefore, side of the square =4/2=2 kmHence, Area=2×2= 4 square km
Answer : B
Answer: B
Question: Two pots are in side-by-side. One pot, which is 20 inches tall, casts a shadow that is 10
inches long. The other pot is 40 inches tall. Compute, in inches, the length of the shadow that
the taller pot casts.
Options:
A)25
B)30
C)10
D)15
E)20
Rationale: The ratio of shadow to height is constant, so if x is the length of the shadow, then
20/10 = 40/x and x = 20 .
correct answer E
Answer: E
Question: Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 45°C, what is the temperature of the pot of water in °F?
Options:
A)92°F
B)97°F
C)104°F
D)113°F
E)118°F
Rationale: Let F and C denote the temperature in Fahrenheit and Celsius respectively.
(F - 32) /(212 - 32) = (C - 0)/(100 - 0)
F = 9C/5 + 32
F = 9(45)/5 + 32 = 113°F
The answer is D.
Answer: D
Question: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?
Options:
A)23 years
B)25 years
C)33 years
D)35 years
E)37 years
Rationale: Explanation:
Ayush's present age = 10 years.
His mother's present age = (10 + 20) years = 30 years.
Ayush's father's present age = (30 + 5) years = 35 years.
Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years.
Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.
Answer: A) 23 year
Answer: A
Question: A man saves 25% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 10%, he is only able to save Rs. 175 per month. What is his monthly salary?
Options:
A)Rs.1000
B)Rs.2000
C)Rs.1500
D)Rs.3000
E)Rs.3100
Rationale: Income = Rs. 100
Expenditure = Rs. 75
Savings = Rs. 25
Present Expenditure 75+75*(10/100) = Rs.82.5
Present Savings = 100 – 82.50 =Rs. 17.50
If savings is Rs. 17.50, salary = Rs. 100
If savings is Rs.175, salary = 100/17.5*175 = 1000
Answer : A
Answer: A
Question: All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 158 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container A?
Options:
A)1264
B)1723
C)1129
D)2613
E)1372
Rationale: A
B has 62.5% or (5/8) of the milk in A. Therefore, let the quantity of milk in container A(initially) be 8k.
Quantity of milk in B = 8k - 5k = 3k.
Quantity of milk in container C = 8k - 3k = 5k
Container: A B C
Quantity of milk: 8k 3k 5k
It is given that if 158 liters was transferred from container C to container B, then both the containers would have equal quantities of milk.
5k - 158 = 3k + 158 => 2k =316 => k = 158
The initial quantity of milk in A = 8k = 8 * 158 = 1264 liters.
Answer: A
Question: In the formula Y = 1/(2x+2)^3, if x is halved, then Y is multiplied by
Options:
A)27
B)27/8
C)8/27
D)8
E)1/27
Rationale: Say x=2 => Y1 = 1/108
when x=1; Y2 = 1/32
Y2 = 27/8*Y1.
Answer : B
Answer: B
Question: Find the no.of ways of arranging the boy and 7 guests at a circular table so that the boy always sits in a particular seat?
Options:
A)3!
B)8!
C)7!
D)9!
E)11!
Rationale: Ans.(C)
Sol. Total number of persons = 8 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 7 places in 7P7 = 7! Ways ... The number of required arrangements = 7! x 1= 7! = 7! ways
Answer: C
Question: If W is a positive integer, and W/15 = 8.2, what is the remainder when W is divided by 15?
Options:
A)A.1
B)B.2
C)C.3
D)D.4
E)E.8
Rationale: If W were a multiple of 15, the quotient W/15 would be an integer. The fact that it's a decimal tells us that 15 goes into W eight whole times and some decimal part of a time. This decimal part, 0.2 is the remainder divided by the divisor. Let R be the remainder.
R/15 = 0.2 = 1/5
R = (15)*(1/5) = 3
Answer =(C)
Answer: C
Question: How many positive integers less than 50 are multiples of 3 but NOT multiples of 5?
Options:
A)4
B)6
C)8
D)10
E)12
Rationale: IMO the answer is C (8 numbers)
The LCM of 3 and 5 is 15.
If x <50 and x is divisible by 3 not by 5 --> x is NOT divisible by 15.
From 1--> 50, we have 3 numbers which is divisible by 15: 15, 30, 45.
From 1-->50, we have (45-3)/3 +1 =15 numbers divisible by 3.
Therefore, our answer is 15-3 = 12 numbers.
E
Answer: E
Question: Find the surface area of a 10 cm x 4 cm x 2 cm brick.
Options:
A)136 cu cm
B)124 cu cm
C)164 cu cm
D)180 cu cm
E)None
Rationale: Sol.
Surface area = [2(10 x 4 + 4 x 2 + 10 x 2)]
= (2 x 68)
= 136 cu cm
Answer A
Answer: A
Question: In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 9 women?
Options:
A)7C4 9C5
B)4C7 5C9
C)7C5 9C4
D)9C4 7C5
E)NONE
Rationale: Group consisting of 7 men and 9 women
4 men can be selected from 7 men in 7C4 ways
5 women can be selected from 9 women in 9C5 ways
Therefore, Total number of ways= 7C4 9C5
ANSWER:A
Answer: A
Question: A series of boxes are placed on a conveyor belt at one end and unloaded at the other. The boxes are each 0.5 meters on each side and are placed immediately adjacent to one another as they are loaded. If the conveyor belt is 30 meters long and moves the boxes at a speed of 0.25 m/s, how long does it take for 100 boxes to be loaded and unloaded?
Options:
A)4 min 30 sec
B)4 min 50 sec
C)5 min 20 sec
D)5 min 40 sec
E)6 min 10 sec
Rationale: C
5 min 20 sec
d = 100 * 0.5 m +30 m = 80 m
T = 80 m / 0.25 m/s = 320 s = 5 min 20 sec
Answer: C
Question: The average earning of a mechanic for the first-four days of a week is Rs. 18 and for the last four days is Rs. 22. If he earns Rs . 6 on the fourth day, his average earning for the whole week is ?
Options:
A)Rs . 18.95
B)Rs 16
C)Rs. 22
D)Rs. 25.71
E)None of these
Rationale: Answer
Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day
= 4 x18 + 4 x 22 - 6
= Rs. 154
âˆ´ Average earning = 154 / 7
= Rs. 22
Correct Option: C
Answer: C
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.7 years. The ration of the number of boys to the number of girls in the class is?
Options:
A)1:6
B)2:3
C)2:5
D)2:1
E)2:4
Rationale: Let the ratio be k : 1. Then,
k * 16.4 + 1 * 15.7 = (k + 1) * 15.8
= (16.4 - 15.8)k = (15.8 - 15.7)
= k = 0.1/0.6 = 1/6
Required ratio = 1/6 : 1 = 1:6.
Answer:A
Answer: A
Question: In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many E eggs does the plant process per day?
Options:
A) 100
B) 300
C) 400
D) 3,000
E) 4,000
Rationale: Straight pluggin in for me. As usual, I started with C and got the answer.
Lets' back calculate and see what we get
Let us consider eggs processed each day to be 400
So Initial ratio of eggs processed and rejected is 96:4 or 24:1
So out of 400 eggs, there will be 384 eggs processed and 16 rejected.
Now if the no. of eggs inspected remain and 12 more eggs get accepted that means there E=384+12=396 eggs accepted and 4 rejected...and the ratio will be 99:1
Bingo...this is what the questions says....
Its always a good idea to start with C.
Answer: C
Question: A man purchases 2 mobiles for $ 1400. He sells one at 20% profit and the other at a loss of 15%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
Options:
A)$ 600 and $ 1400
B)$1400 and $ 600
C)$600 and $800
D)$800 and $600
E)$1400 and $ 800
Rationale: x + y = 1400 --- (1)
1.20x + 0.85y = 1400 --- (2)
(2) - (1) --> 0.20x - 0.15y = 0
15x = 10y
x/y = 3/4= (3*200)/(4*200) = 600/800
Answer: C
Answer: C
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Options:
A)Rs.3944
B)Rs.3988
C)Rs.3928
D)Rs.3928
E)Rs.3943
Rationale: Let the side of the square plot be a ft.
a2 = 289 => a = 17
Length of the fence = Perimeter of the plot = 4a = 68 ft.
Cost of building the fence = 68 * 58 =Rs.3944.
Answer: A
Answer: A
Question: A goods train runs at the speed of 72 km/hr and crosses a 300 m long platform in 26 sec. What is the length of the goods train?
Options:
A)278
B)166
C)151
D)220
E)109
Rationale: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 300)/26 = 20
x = 220 m.
Answer:D
Answer: D
Question: An athlete takes 10 seconds to run 100m. What is his avg. speed in miles per hour?
Options:
A)22.37
B)26.66
C)24.35
D)36.0
E)42.44
Rationale: His average speed is 10m/s. which is 36 km/hr.
But 36km=22.37 miles. The average speed of the athlete is 22.37mph
Answer: A
Answer: A
Question: There are 7 dozen mangoes in a box. If there are 29
such boxes, how many mangoes are there in all the
boxes together?
Options:
A)516
B)2436
C)6192
D)628
E)None
Rationale: Number of mangoes = 7 dozens
= 7 × 12 = 84
∴ Number of mangoes in 29 boxes
= 29 × 84 = 2436
Answer B
Answer: B
Question: If (5^13)(9^7)=3(15^x), what is the value of x?
Options:
A)7
B)9
C)11
D)13
E)15
Rationale: (5^13)(9^7)=3(15^x)
=> 5^13 * 3^14 = 3 * 3^x * 5^x
=> 5^13 * 3^14 = 3^(x+1) * 5^x
Value of x = 13
Answer D
Answer: D
Question: If Q is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of Q?
Options:
A)10
B)12
C)14
D)16
E)18
Rationale: Q = 30!
8
Q = 30 x 29 x 28 x 27 x 26 x 25 x 24 x 24 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 09 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Out of these 30 , 27 , 24 , 21 , 18, 15 , 12 , 09 , 06 , 3 are factors of 3
3 x 10 , 3 x 3 x 3 , 3 x 8 , 3 x 3 x 2, 3 x 5 , 3 x 4 , 3 x 3 x 3 , 3 x 2 , 3
So we have a total of 14 three's ...
Therefore the maximum value of K can be 14 (C)
Answer: C
Question: .05% of cans of beans that go down a conveyor belt are sealed improperly and must be disposed of. How many cans of beans must pass down a conveyor belt for 5 cans to be sealed improperly?
Options:
A)500
B)5000
C)4000
D)2500
E)10000
Rationale: Let the number of total cans of beans be x
Then, .05% of x=5
(5/100)*(1/100)*x=5
x=10000
Answer is E
Answer: E
Question: a light flashes every 15 seconds, how many times will it flash in ? of an hour?
Options:
A)550
B)600
C)240
D)700
E)750
Rationale: 1flash=15sec
for 1 min=4flashes
so for 1 hour=4*60=240 flashes.
ANSWER:C
Answer: C
Question: Solve for x and check: 6x = 54
Options:
A)12
B)15
C)5
D)9
E)None of these
Rationale: Solution : Dividing each side by 6, we obtain
(6x/6)=(54/6)
Therefore : x=9
Check :
6x=54
(6*9)=54
54=54
ANSWER : D
Answer: D
Question: which is odd one
3, 5, 7, 12, 17, 19
Options:
A)19
B)17
C)5
D)12
E)14
Rationale: Each of the numbers is a prime number except 12.
Answer: Option D
Answer: D
Question: If the complement of a certain angle is seven times the measure of that certain angle, then what is the measure of that certain angle?
Options:
A)45°
B)30°
C)22.5°
D)18°
E)11.25°
Rationale: Thecomplementof angle A is the angle which, when added to angle A, gives 90 degrees. The two acute angles of a right triangle are complements, for example.
The original angle is x, so the complement is 7x, and together, these add up to 90 degrees.
x + 7x = 90
8x = 90
x = 11.25°
Answer = (E)
Answer: E
Question: How much time will it take for an amount of 500 to yield 100 as interest at 5% per annum of simple interest?
Options:
A)3 year
B)4 year
C)6 year
D)5 year
E)7 year
Rationale: Time = (100 x 100)/(500 x 5) years = 4 years.
answer B
Answer: B
Question: find the average of first 40 natural numbers?
Options:
A)12.3
B)15.4
C)63.2
D)45.2
E)20.5
Rationale: sum of first n natural numbers=n(n+1)/2;
So,sum of 40 natural numbers=(40*41)/2 =820.
Therefore the required average=(820/40) =20.5.
Ans: E
Answer: E
Question: Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, thirty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 70 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
Options:
A)4.5%
B)8.6%
C)12.3%
D)16.7%
E)20%
Rationale: Let I be the number of incandescent bulbs.
Let F be the number of fluorescent bulbs.
0.3I + 0.8F = 0.7(I+F)
0.1F = 0.4I
F = 4I
This means that for every 1 incandescent bulb, there are 4 fluorescent bulbs.
The percent of bulbs that are switched on which are incandescent is:
0.3I / (0.3I + 0.8F) = 0.3I / (0.3I + 0.8*4I) = 0.3I / 3.5I = 3/35 which is about 8.6%.
The answer is B.
Answer: B
Question: Which of the following is not a multiple of 3!+4?
Options:
A)5!+20
B)4!+1
C)5!-60
D)4!+36
E)5!+20
Rationale: The factorial 3! means 3*2
therefore 3!+4=(3*2)+4
Which gives 6+4=10
all the options except option b) 4!+1 are multiples of 3!+4
The correct option is B)
Answer: B