divelab/Sys2Bench huggingface dataset:
Question: A person borrows 9000 for 9 years at 3% p.a. simple interest. He immediately lends it to another person at 7 % p.a. for 9 years. Find his gain in the transaction per year.
Options:
A)380
B)360
C)340
D)300
E)180
Rationale: Gain in 9 years
= [(9000Ã—9Ã—7/100)âˆ’(9000Ã—9Ã—3/100)]
= (5670 â€“ 2430) = 3240
âˆ´ Gain in 1 year = (3240/9) = 360
Answer B
Answer: B
Question: Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 12 years younger than Albert. How old is Betty?
Options:
A)6
B)12
C)10
D)15
E)18
Rationale: A = 2M = M+12
M = 12
A = 24
A = 4B, and so B = 6
The answer is A.
Answer: A
Question: Ramu bought an old car for Rs. 40000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Options:
A)17%
B)22.4%
C)18%
D)14%
E)16%
Rationale: Total CP = Rs. 40000 + Rs. 13000
= Rs. 53000 and SP
= Rs. 64900
Profit(%) = (64900 - 53000)/53000 * 100
= 22.4%
Answer: B
Answer: B
Question: The function f(P) represents the number of ways that prime numbers can be uniquely summed to form a certain number P such that P = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?
Options:
A)4
B)5
C)6
D)7
E)8
Rationale: So we can start with 2 and check whether sum of two primes is primes is even.
1) 2(6 times)
2) 2(3 times) + 3(2 times)
3) 2(2 times) + 3 + 5
4) 2 + 3 + 7
5) 2 + 5 + 5
6) 3(4 times)
7) 5 + 7
Answer: D
Answer: D
Question: 9log9(7) = ?
Options:
A)1
B)2
C)7
D)4
E)5
Rationale: Exponential and log functions are inverse of each other. Hence
aloga(x) = x , for all x real and positive.
and therefore
9log9(7) = 7
correct answer C
Answer: C
Question: 350 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Options:
A)10
B)12
C)14
D)16
E)18
Rationale: 26 trees have 25 gaps between them,
Required distance (350/25) = 14
C
Answer: C
Question: A retailer sells products that belong to different categories, A to F, in alphabetical order. The number of products sold in each category is distinct and in ascending order. If at-least 2 products are sold in any category and a total of 27 products were sold last week, what is the probability that a product sold last week belonged to Category D?
Options:
A)2/27
B)4/27
C)5/27
D)8/27
E)15/27
Rationale: there are 6 distinct categories..
Since each category has to have at least 2 products..
let A have 2 and each thereafter has ONE more than previous..
so A,B,C,D,E, and F will have minimum 2+3+4+5+6+7 = 7*8/2 -1 = 28-1 =27..
therefore ONLY possibility of products in each due to restriction of TOTAL as 27 is 2,3,4,5,6,7 so D will have 5 products..
Probability = 5/27
ANSWER:C
Answer: C
Question: In racing over a given distance d at uniform speed, A can beat B by 30 meters, B can beat C by 8 meters, and A can beat C by 37 meters. What is the distance d in meters?
Options:
A)160
B)180
C)200
D)220
E)240
Rationale: When A is at the finish line, B is 30 meters back, and C is 37 meters back.
When B runs another 30 meters to the finish line, C is 8 meters back.
So B gains 1 meter on C every 30 meters covered.
To gain a final difference of 8 meters, B runs a total of 240 meters.
The answer is E.
Answer: E
Question: A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 2 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other one children on either side of him, how many seating arrangements are possible?
Options:
A) 3
B) 4
C) 6
D) 8
E) 10
Rationale: Mother has a fixed place and father, so there are 3*2 ways to arrange the children, hence C
Answer: C
Question: If log 27 = 1.491, then the value of log 9 is:
Options:
A)0.934
B)0.994
C)0.954
D)0.958
E)0.987
Rationale: log 27 = 1.491
log (33 ) = 1.491
3 log 3 = 1.491
log 3 = 0.497
log 9 = log(32 ) = 2 log 3 = (2 x 0.497) = 0.994.
Answer: Option B
Answer: B
Question: A number when divided b the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is:
Options:
A)1220
B)1250
C)2030
D)22030
E)1350
Rationale: Required number = (555+445)*2*110+30
= 220000+30
= 220030.
ANSWER:D
Answer: D
Question: At the opening of a trading day at a certain stock exchange, the price per share of stock K was $8. If the price per share of stock K was $9 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
Options:
A)1.4%
B)5.9%
C)11.1%
D)12.5%
E)23.6%
Rationale: Opening = 8
Closing = 9
Rise in price = 1
So, percent increase = 18∗10018∗100 =>12.50%
Thus answer will be (D)
Answer: D
Question: Andrew purchased 6kg of grapes at the rate of 74 per kg and 9 kg of mangoes at the rate of 59 per kg. How much amount did he pay to the shopkeeper?
Options:
A)1000
B)975
C)980
D)1020
E)1080
Rationale: Cost of 6 kg grapes = 74 × 6 = 444.
Cost of 9 kg of mangoes = 59 × 9 = 531.
Total cost he has to pay = 444 + 531 = 975
B
Answer: B
Question: A beaker contains 180 liters of alcohol. On 1st day, 60 l of alcohol is taken out and replaced by water. 2nd day, 60 l of mixture iss taken out and replaced by water and the process continues day after day. What will be the quantity of alcohol in beaker after 3 days
Options:
A)53.3
B)53.8
C)53.7
D)53.5
E)353.3
Rationale: Use the formula,
Final Alcohol = Initial Alcohol ×(1−ReplacementquantityFinalVolume)n×(1−ReplacementquantityFinalVolume)n
Final Alcohol = 180(1−60180)3180(1−60180)3 = 180×(23)3=53.3
Ans: A
Answer: A
Question: If z is a multiple of 8778, what is the remainder when z^2 is divided by 9?
Options:
A)0
B)2
C)4
D)6
E)8
Rationale: The sum of the digits is 8+7+7+8=30.
Thus 3 is a factor of 8778, so 3 is a factor of z.
Then 3^3 = 9 is a factor of z^2.
Then the remainder when z^2 is divided by 9 is 0.
The answer is A.
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Options:
A)20/89
B)20/9
C)20/7
D)20/6
E)20/1
Rationale: They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 72)*5/18 = 7*5 = 35 mps.
The time required = d/s = 100/35 = 20/7 sec.
Answer:C
Answer: C
Question: A, B and C work on a task. To complete the task alone, B takes twice the time that A would take to complete the task alone and 1/3rd the time that C would take to complete the task alone. If B actually worked for half the number of days that A worked and 3/2 times the number of days that C worked, what proportion of the total work was completed by B?
Options:
A)1/3
B)2/9
C)9/46
D)7/19
E)1/6
Rationale: The first thing to notice is that A is faster than B and B is faster than C.
Since work is proportional to time, in 1 day lets say if A does 2 works, B does 1 work and C does 2/3rd of a work.
If A works for 2 days, B works for 1 day and C works for only 2/3 of the day.
Therefore total work done = (2*2) + (1*1) + (1/3*1/3) = 46/9
Proportion of work done by B = (1*1) / (46/9) = 9/46
Hence Answer C.
Answer: C
Question: The ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17:325. the value of n is
Options:
A)15
B)25
C)35
D)30
E)none of these
Rationale: sum of 1st n natural no.s is n(n+1)/2,
sum of sqaures of 1st n natural no.s is n(n+1)(2n+1)/6,
The ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers=n(n+1)(2n+1)*2*2/(n*n*(n+1)*(n+1))
=2(2n+1)/(3n(n+1))
now by hit and trial for the given options,if we put 25 then this will give 17/325
therefore the answer is 25
ANSWER:B
Answer: B
Question: A man’s speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr.The man’s speed against the current is :
Options:
A)8.5 km/hr
B)9 km/hr
C)10 km/hr
D)12.5 km/hr
E)None of these
Rationale: Solution
Man’s rate in still water =(15-2.5) km/hr = 12.5 km/hr.
Man’s rate against the current = (12.5-2.5)km/hr = 10 km/hr. Answer C
Answer: C
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?
Options:
A)145646
B)236578
C)645353
D)456546
E)220050
Rationale: (555 + 445) * 2 * 110 + 50 = 220000 + 50 = 220050
E
Answer: E
Question: If the sum and the difference of two numbers are 20 and 8 respectively, then the difference of their square is
Options:
A)12
B)28
C)160
D)180
E)None
Rationale: Solution
Let the numbers be x and y.
Then, x + y = 20 and x - y = 8.
Therefore,x2 - y2 = (x + y)(x - y)
‹=› 20 x 8
‹=› 160.
Answer C
Answer: C
Question: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 9 meters, and the interior of tank B has a height of 9 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
Options:
A)75%
B)90%
C)100%
D)120%
E)125%
Rationale: The radius of tank A is 9/(2*pi).
The capacity of tank A is 10*pi*81 / (4*pi^2) = 405 / (2*pi)
The radius of tank B is 10 / (2*pi).
The capacity of tank B is 9*pi*100 / (4*pi^2) = 450 / (2*pi)
Tank A / Tank B = 405/450 = 9/10 = 90%
The answer is B.
Answer: B
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
A)19 1/7 min
B)15 1/7 min
C)17 1/7 min
D)7 1/7 min
E)9 1/7 min
Rationale: Explanation:
1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7
Answer: Option C
Answer: C
Question: Which of the following number will completely divide (49^15)-1?
Options:
A)8
B)6
C)22
D)12
E)14
Rationale: x^n - 1 will be divisible by x+1 only when n is even.
49^15 - 1 = (7^2)^15 - 1 = 7^30 - 1 which is divisible by 7+1 i.e. 8
Answer is A
Answer: A
Question: A’s speed is 16/15 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Options:
A)1/8
B)1/16
C)1/15
D)1/32
E)1/31
Rationale: Let x be the fraction of the distance that B runs.
Let v be the speed at which B runs.
The time should be the same for both runners.
Time = D / (16v/15) = xD/v
(15/16)*D/v = x*D/v
x = 15/16
B should have a head start of 1/16 of the full distance.
The answer is B.
Answer: B
Question: Two brothers Ram and Ravi appeared for an exam. The probability of selection of Ram is 4/7 and that of Ravi is 1/5. Find the probability that both of them are selected.
Options:
A)4/35
B)2/3
C)7/35
D)5/7
E)7/5
Rationale: Let A be the event that Ram is selected and B is the event that Ravi is selected.
P(A) = 4/7
P(B) = 1/5
Let C be the event that both are selected.
P(C) = P(A) x P(B) as A and B are independent events:
= 4/7 x 1/5 = 4/35
ANSWER:A
Answer: A
Question: Express 45 mps in kmph?
Options:
A)170
B)160
C)162
D)130
E)122
Rationale: 45 * 18/5 = 162 kmph
Answer:C
Answer: C
Question: In how many ways, a committee of 5 members can be selected from
6 men and 5 ladies, consisting of 3 men and 2 ladies?
Options:
A)100
B)200
C)300
D)400
E)500
Rationale: (3 men out 6) and (2 ladies out of 5) are to be chosen.
Required number of ways = (6c3x5c2) = [6x5x4/3x2x1] x [5x4/2x1] = 200.
Answer B.
Answer: B
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one DOOR of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Options:
A)4687
B)3899
C)7815
D)4530
E)3573
Rationale: Area of the four walls = 2h(l + b)
Since there are DOORS and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 5 = Rs. 4530
Answer: Option D
Answer: D
Question: In the xy-coordinate system, line k passes through points (-9m, 0) and (0, 3m). Which of the following is a possible equation of line k?
Options:
A)y = -3x + 3m
B)y = 1/3*x - 9m
C)y = 3x + 3m
D)y = 1/3*x + 3m
E)y = -1/3*x - 9m
Rationale: The slope of the line is 3m/9m=1/3.
The y-intercept is 3m.
the equation of the line is: y = 1/3*x +3m
The answer is D.
Answer: D
Question: Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?
Options:
A)16
B)17
C)8
D)12
E)10
Rationale: Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then, [(6x + 6) + 4] / [(5x + 6) + 4] = 11/10
10(6x + 10) = 11(5x + 10) => x = 2
Sagar's present age = (5x + 6) = 16 years.Answer: A
Answer: A
Question: Three friends (Sam, Jerry and Guy) are employees of a company. Their respective salaries are in the ratio of 2 : 5 : 7. Jerry and Guy's salaries together is Rs. 6600. By what percent is Guy's salary than that of Sam?
Options:
A)250%
B)200%
C)150%
D)350%
E)110%
Rationale: Explanation:
Let the salaries of A, B, C be 2x, 5x and 7x respectively.
Then,5x + 7x = 6600 => x = 550.
Sam's salary = Rs. 1100, , Jerry's salary = Rs. 2750, and Guy's salary Rs. 3850.
Excess of Guy's salary over Sam's=[ (2750 /1100) x 100] = 250%.
Answer: A
Answer: A
Question: Solve the equation:
A) 16x + 10 – 32 = 35 – 10x - 5,
B) y + 3/2y + 25 = 1/2y + 3/4y – 5/2y + y + 37,
C) 7u – 9 – 3u + 5 = 11u – 6 – 4u
Options:
A)2, 48/11, 2/3
B)3, 48/11, 2/3
C)2, 48/11, 2/4
D)4, 48/11, 2/3
E)None
Rationale: Solution:
A)We do some of the makred actions and we get
16x – 22 = 30 – 10x
After using rule 2 we find 16x + 10x = 30 + 22
After doing the addition 26x = 52
We find unknown multiplier by dividing the product by the other multiplier.
That is why x = 52/26
Therefore x = 2
B) By analogy with A) we find:
y(1 + 3/2) + 25 = y(1/2 + 3/4 – 5/2 + 1) + 37 <=>
5/2y + 25 = -1/4y + 37 <=> 5/2y + 1/4y = 37 - 25 <=>
11/4y = 12 <=> y = 12.4/11 <=> y = 48/11
C) 4u – 4 = 7u – 6 <=> 6 – 4 = 7u – 4u <=> 2 = 3u <=> u = 2/3
Answer A
Answer: A
Question: A person walks from one end to the other of a 80-meter long moving walkway at a constant rate in 40 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?
Options:
A)56
B)60
C)64
D)68
E)72
Rationale: Let v be the speed of the person and let x be the speed of the walkway.
40(v+x)=80 then 120(v+x)=240
120(v-x)=80
When we add the two equations:
240v=320
v=4/3
time = 80 / (4/3) = 60 seconds
The answer is B.
Answer: B
Question: A group consists of 8 men, 8 women and 4 children. In how many ways can 2 men , 2 women and 1 child selected from the given group?
Options:
A)3236
B)3336
C)3436
D)3136
E)6436
Rationale: Two men, two women and one child can be selected in 8C₂ * 8C2 * 4C₁ ways
8*7/2*1*8*7/2*1*4
=3136 ways
Answer : D
Answer: D
Question: A man can swim in still water at 7.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Options:
A)3
B)2.5
C)2.25
D)1.5
E)4
Rationale: M = 7.5
S = x
DS = 7.5 + x
US = 7.5 - x
7.5 + x = (7.5 - x)2
7.5 + x = 15 -2x
3x = 7.5
x = 2.5
ANSWER:B
Answer: B
Question: The inverse ratio of 3: 5: 1 is?
Options:
A)2:3:7
B)5:3:15
C)2:3:2
D)2:3:6
E)2:3:1
Rationale: 1/3: 1/5: 1/1 = 5:3:15
Answer:B
Answer: B
Question: If a and b are positive numbers, and a^3 + b^3 = 100, then the greatest possible value of a is between:
Options:
A)0 and 3
B)3 and 4
C)4 and 5
D)5 and 7
E)7 and 9
Rationale: If a = 4.5 and b is a bit more than 2, then a^3 + b^3 can equal 100.
If a > 5, then a^3 + b^3 > 100.
The answer is C.
Answer: C
Question: a and b can do a piece of work in 28 days. with the help of c, they can finish it in 21 days .how long will c take to finish it
Options:
A)84 days
B)74 days
C)64 days
D)82 days
E)86 days
Rationale: A + B 's 1 day work = 1/28
A + B + C 's 1 day work = 1/21
1/28 + C= 1/21
C = 1/21 - 1/28
C = 1/84
So C ll finish the work alone in 84 days
ANSWER:A
Answer: A
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Options:
A)Rs.4086.40
B)Rs.4882.40
C)Rs.4089.40
D)Rs.4082.40
E)Rs.3082.40
Rationale: Length of the first carpet = (1.44)(6) = 8.64 cm
Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)
= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m
Cost of the second carpet = (45)(12.96 * 7) = 315 (13 - 0.04)
= 4095 - 12.6
= Rs.4082.40
Answer:D
Answer: D
Question: A machine puts d caps on bottles in m minutes. How many hours will it take to put caps on b bottles?
Options:
A)60bm/d
B)b/60dm
C)bd/60m
D)60b/dm
E)bm/60d
Rationale: A machine puts d caps on bottles in m minutes.
So, the machine puts 1 cap in m/c minutes
To put caps on b bottles, the machine will take bm/d minutes
In order to calculate the no. of hours taken , divide the product by 60.
So, our answer is bm/60d
Answer : E
Answer: E
Question: A recipe for a large batch of fruit juice at a factory calls for 10% oranges, 20% lemons, and 70% limes. if 35 limes are used, how many oranges are needed?
Options:
A)2
B)5
C)10
D)40
E)50
Rationale: 70%= 35 fruit
100%=50 fruit
10% of 50 fruit=5 fruit
5 oranges
ANSWER:B
Answer: B
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number will be a solution to the equation (x-9)(x+8)(2X+5) = 0?
Options:
A)1/12
B)1/6
C)1/4
D)1/3
E)1/2
Rationale: x = -1
Prob = 1/12
Answer - A
Answer: A
Question: 193,194,207,.....?
Options:
A)340
B)341
C)342
D)343
E)344
Rationale: first increment is by 1 which is the first odd number second increment is by 13 in this 2nd term is 3 which is second odd number the next increment should be by 135 in this the third term is 5 which is third odd number .Thus 342 is the answer.
ANSWER:C
Answer: C
Question: A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1480?
Options:
A)228
B)217
C)100
D)288
E)772
Rationale: 3x 4x 5x
6 9 4
18x + 36x + 20x = 1480
74x = 1480 => x = 20
5x = 100 Rs.
Answer: C
Answer: C
Question: A man complete a journey in 10 hours. He travels first half of the journey at the rate of
21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Options:
A)121 KM
B)242 KM
C)224 KM
D)112 KM
E)120 KM
Rationale: AVERAGE SPEED = 2*21*24/21+24 = 22.4 KM/HR
TOTAL DIST = 22.4 * 10 =224 KM
DIST = SPEED * TIME
LET TIME TO TRAVEL THE FIRST HALF = X HR
THEN TIME = (10-X) HR
DIST COVERED IN FIRST HALF = 21X
DISTANCE COVERED IN SECOND HALF = 24(10-X)
BUT DISTANCE COVERED BOTH EQUAL
21X = 24(10-X)
X=16/3
HENCE 21X = 21 * 16/3 = 7 * 16 = 112 KM TOTAL DIST = 2 * 112 = 224 KM
ANSWER B
Answer: B
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 7:30 am. They shall first cross each other at ?
Options:
A)7:15 am
B)7:30 am
C)7: 42 am
D)7:50 am
E)7:60 am
Rationale: Explanation:
Relative speed between two = 6-1 = 5 round per hour
They will cross when one round will complete with relative speed,
which is 1/5 hour = 12 mins.
So 7:30 + 12 mins = 7:42
Option C
Answer: C
Question: Pipes A and B can fill a tank in 6 and 8 hours. Pipe C can empty it in 4 hours. If all pipes are opened together, then the tank will be filled in?
Options:
A)3/2hr
B)24hr
C)22hr
D)20hr
E)5/3hr
Rationale: Net part filled in 1 hour = 1/6 + 1/8 - 1/4 = 1/24
The tank will be full in 24 hr
Answer is B
Answer: B
Question: John purchased a fridge and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the fridgeat a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make a profit.
Options:
A)Rs. 100
B)Rs. 130
C)Rs. 200
D)Rs. 230
E)Rs. 250
Rationale: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.
C
Answer: C
Question: The area of a triangle is with base 2m and height 5m?
Options:
A)11
B)10
C)787
D)122
E)5
Rationale: 1/2 * 2 * 5 = 5 m2
Answer: E
Answer: E
Question: The side of a square is increased by 25% then how much % does its area increases?
Options:
A)56.25 %
B)56.25 %
C)56.85 %
D)52.25 %
E)56.55 %
Rationale: a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 %
Answer:B
Answer: B
Question: (X)+3612+16125-6149=90189. Calculate the value of X
Options:
A)76601
B)76600
C)76655
D)76313
E)76723
Rationale: x+3612+16125-6149=90189
=x+3612+16125=90189+6149
=x+19737=96338
=x=96338-19737
=76601
Answer is A
Answer: A
Question: There are 10 magazines lying on a table; 5 are fashion magazines and the other 5 are sports magzines. If 4 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?
Options:
A)60/61
B)40/42
C)41/42
D)45/46
E)54/55
Rationale: 1- (5c4/10c4) = 1-1/42 = 41/42
Answer : C
Answer: C
Question: In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 60. What is the total number of students in the school?
Options:
A)72
B)80
C)125
D)150
E)100
Rationale: Explanation: Let the number of students be x.
Then, Number of students above 8 years of age = (100 - 20)% of x = 80% of x.
80% of x = 60 + 2/3 of 60
80/100x = 100
x = 125.
Answer: Option C
Answer: C
Question: On an order of 9 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
Options:
A)10%
B)15%
C)20%
D)25%
E)30%
Rationale: Clearly, the retailer gets 1 dozen out of 10 dozens free.
Equivalent discount = 1/10 * 100 = 10%.
Answer A) 10%
Answer: A
Question: How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest ?
Options:
A)3.5 years
B)4 years
C)4.5 years
D)5 years
E)None of these
Rationale: Solution
Time =(100*81/450*4.5) years =4 years
Answer B
Answer: B
Question: For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 100?
Options:
A)30
B)28
C)27
D)25
E)26
Rationale: 4n+7 > 1
4n> -6
n > -(3/2)
n> -1.5 (n = -1, 0, 1 ,2 3........ upto infinity)
From second constraint
4n+7 < 100
4n< 93
n < 23. 25
n = (-infinity, .......-3, -2, -1, 0, 1, 2, .........upto 23)
Combining the two
-1.5 < n<23.25
n = 1 to 23 (23 integers)
and n = -1 and 0
so 25 integers.
D is the answer
Answer: D
Question: A cricket player whose bowling average was 22.5 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.5. What will be the number of wickets taken by him till the last match?
Options:
A)64
B)72
C)121
D)984
E)108
Rationale: Average = Total Runs / Total wickets
Total runs after last match = 22.5w + 52
Total wickets after last match = w + 5
(22.5w + 52) / (w + 5) = 22.5 - 0.5 = 22
w = 116
so total wickets aftr last match = w+5 = 121
ANSWER:C
Answer: C
Question: There has been a successive increase of 25% and 20% in the price of petrol from the previous month. By how much %age a man should reduce his consumption so that his expenditure does not change?
Options:
A)33.33%
B)50%
C)66.66%
D)15%
E)75%
Rationale: Earlier price of petrol = x
Current price of petrol = (5/4) * (6/5) * x = 1.5x
Let earlier Consumption = 100 gallons
Earlier: x dollars --> 100 gallons
Now: 1.5x dollars --> 100 gallons --> x dollars --> 100*2/3 = 66.66 gallons
Therefore the person should reduce his consumption by 100 - 66.66 = 33.33 gallons if his expenditure has to remain same.
Answer: A
Answer: A