divelab/Sys2Bench huggingface dataset:
Question: The profits of QRS company rose 35% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
Options:
A)15%
B)32%
C)40%
D)62%
E)80%
Rationale: Assume 100 in march , then 135 in April as 35% increase , Then 108 in may as 20% decrease from April , and then 162 in june which is 150% of 108 .
So overall increase is from 100 to 162 is 62%
Answer D
Answer: D
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Options:
A)10%
B)30%
C)20%
D)70%
E)45%
Rationale: D
20%
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
Required percentage =(14x100/70) % = 20%.
Answer: C
Question: What is the dividend. divisor 15, the quotient is 8 and the remainder is 5
Options:
A)A)145
B)B)148
C)C)150
D)D)125
E)E)158
Rationale: D = d * Q + R
D = 15 * 8 + 5
D = 120 + 5
D = 125
Answer : D
Answer: D
Question: If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day?
Options:
A)100 men
B)101 men
C)102 men
D)103 men
E)104 men
Rationale: C
102 men
From the above formula i.e (m1*t1/w1) = (m2*t2/w2)
so, (34*8*9/(2/5)) = (x*6*9/(3/5))
so, x = 136 men
number of men to be added to finish the work = 136-34 = 102 men
Answer: C
Question: If 25% of x is 15 less than 15% of 1500, then x is?
Options:
A)720
B)750
C)820
D)840
E)860
Rationale: 25% of x = x/4 ; 15% of 1500 = 15/100 * 1500 = 225
Given that, x/4 = 225 - 15 => x/4 = 210 => x = 840.
ANSWER:D
Answer: D
Question: A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability W of generating an odd prime digit is between
Options:
A)0 and 1/6
B)1/6 and 1/3
C)1/3 and 1/2
D)1/2 and 2/3
E)2/3 and 5/6
Rationale: K (1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9+ 1/10) =1
Note that 1/10 is least value and is equal to 0.1 so we can write above series as
K (1+0.5+0.3+0.25+0.2+0.16+0.5+residual) = 1
K=1/3+
P (3 or 5 or 7) =K*13/24
Required probability W= 13/24 × 1/3+ = 4+/24 > 1/6
Answer should be B
P.s. 3+ denotes a value little greater than 3 .
Same for 4+.
Answer: B
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Options:
A)2400
B)2408
C)2777
D)29087
E)27871
Rationale: 1200 * 12: x * 9 = 2:3
x = 2400
Answer: a
Answer: A
Question: Solve below question 4x + 1 = 37
Options:
A)-8
B)-9
C)-5
D)9
E)1
Rationale: 1. Subtract 1 from both sides: 4x + 1 - 1 = 37 - 1 2. Simplify both sides: 4x = 36 3. Divide both sides by 4: 4. Simplify both sides: x = 9 D
Answer: D
Question: At a certain amateur bands rock show the ratio of freaks( F) to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling rock on!, what are the chances that the next person who yells rock on!will be a geek?
Options:
A)1/2
B)1/3
C)1/6
D)1/4
E)1/8
Rationale: Another approach is toassign some nice valuesfor the number of freaks, nerds and geeks.
Given: the ratio of freaks to nerds to geeks is 1:2:3
So, let's say there is: 1 freak, 2 nerds and3geeks for a TOTAL of6people.
P(next person who yellsrock on!is a geek) = (# of geeks in the crowd)/(TOTAL # of people in the crowd)
=3/6
= 1/2
Answer:
A
Answer: A
Question: John is three times as old as Sam. If John will be twice as old as Sam in nine years, how old was Sam two years ago?
Options:
A)2
B)4
C)6
D)8
E)7
Rationale: j= 3s
after 9 years
j +9 = 2(s+9)
j= 2s+9
2s +9 = 3s
s= 9
two years ago
s= 9-2= 7
E is the answer
Answer: E
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Options:
A)91.5 cm
B)92.2 cm
C)28.9 cm
D)29.2 cm
E)98.2 cm
Rationale: Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 21) + 2(21)
= 49.5 + 42 = 91.5 cm
Answer:A
Answer: A
Question: If a dealer wants to earn 50% profit on an article after offering 60% discount to the customer, by what percentage should he increase his marked price to arrive at the label price?
Options:
A)120%
B)275%
C)250%
D)130%
E)100%
Rationale: Profit = 50%
discount = 60%
Required answer = (50+60 / 100-60)*100 = 275 %
Answer is B
Answer: B
Question: A and B started a business and invested in 4:5 ratio.after 3 month A takes back 1/4 part of his investment and B takes back 1/5 part of his investment.after 10 month there is profit of 76000 rs.calculate the profit share of A.
Options:
A)35000
B)43000
C)33000
D)46000
E)38000
Rationale: let A invested 4x rs. and B invested 5x rs.
ratio of A and B investment={(4x*3)+[4x-1/4*4x]*7}:{(5x*3)+[5x-1/5*5x]*7}
=(12x+21x):(15x+28x)=33:43.
total profit=76000 rs.
share profit of A=[76000*33/76]rs.=33000 rs.
answer C
Answer: C
Question: If the numbers 19/36, 5/11, 12/25, 6/11, and 8/18 were arranged from least to greatest, which number would be in the middle?
Options:
A)19/36
B)12/25
C)6/11
D)5/11
E)8/18
Rationale: All numbers are about 1/2 so you can separate those are bigger from those are smaller:
19/36 bigger than 18/36=1/2
12/25 smaller than 12/24=1/2
6/11 bigger than 6/12=1/2
5/11 smaller than 6/12=1/2
8/18=4/9 smaller than 4/8=1/2
now you have to choose 12/25, 5/11 or 4/9.
you compare 4/9 and 5/11: the least common multiple between 9 and 11 is 99---> 44/99 < 45/99
you compare now 5/11 and 12/25: the LCM is 25*11=275---> 125/275 < 132/275
so answer is B!
Answer: B
Question: A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
Options:
A)250
B)800
C)740
D)120
E)200
Rationale: Explanation:
Total number of balls = 9 + 3 + 4
Two balls can be drawn from 16 balls in 16C2 ways=(16*15/1*2)=120 ways
Answer: D
Answer: D
Question: 54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is
Options:
A)24
B)30
C)32
D)34
E)36
Rationale: Solution
Let the two parts be (54 - x) and x.
Then, 10(54-x)+22x=780
= 12x = 240
‹=›x = 20.
Therefore Bigger part = (54-x) = 34.
Answer D
Answer: D
Question: The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.3135.What was his original salary?
Options:
A)2277
B)2999
C)1000
D)3000
E)1971
Rationale: X * (110/100) * (95/100) = 3135
X * (11/10) * (1/100) = 33
X = 3000
Answer: D
Answer: D
Question: How many words can be formed using the letters of the word “DRAW”"
Options:
A)20
B)22
C)24
D)26
E)29
Rationale: There are ‘4’ different letters of the word “DRAW”
Number of Permutations taking all the letters at a time = 4P4
4!= 24
C
Answer: C
Question: The length of a rectangular field is 7/5 its width. If the perimeter of the field is 240 meters, what is the width of the field?
Options:
A)50
B)60
C)70
D)80
E)90
Rationale: Let L be the length and W be the width. L = (7/5)W
Perimeter: 2L + 2W = 240, 2(7/5)W + 2W = 240
Solve the above equation to find: W = 50 m and L = 70 m.
correct answer A)50
Answer: A
Question: Find the invalid no.from the following series 15, 16, 34, 105, 424, 2124, 12756
Options:
A)15
B)16
C)105
D)424
E)2124
Rationale: 2nd term = (1st term) * 1 + 1 = 15 *1 + 1 = 16.
3rd term = (2nd term) * 2 + 2 = 16 * 2 + 2 = 34
4th term = (3th term) *3 + 3 = 34 * 3 + 3 = 105
5th term = (4th term) * 4 + 4 = 105 * 4 + 4 = 424
6th term = (5th term) * 5 + 5 = 424 * 5 + 5 = 2125
6th term should 2125 instead of 2124.
E
Answer: E
Question: The average price of 10 books is Rs. 12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what ia the pice of each of these two books ?
Options:
A)10,68
B)10,16
C)10,12
D)10,10
E)10,11
Rationale: Explanation:
Total pice of the two books = Rs. [(12 x 10) - (11.75 x 8)]
= Rs. (120 - 94) = Rs. 26.
let the price of one book be Rs. x
Then, the price of other book = Rs. (x + 60% of x) = Rs. = Rs.
So,
The prices of the two books are Rs. 10 and Rs. 16
Answer: B
Answer: B
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Options:
A)388
B)476
C)557
D)2885
E)271
Rationale: 3 1/2 * 8 1/2 = 1/4 * 1/4 * x => x = 476
Answer: B
Answer: B
Question: It takes 5 tons of copper ore and 9 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?
Options:
A) 18
B) 18 3/4
C) 16
D) 12
E) 10
Rationale: Yes, you need copper ore:iron ore in the ratio 5:9. Total 14 tons of the mix in this ratio will give 1 ton of alloy A.
If you have 60 tons of copper ore, it is enough for 60/5 = 12 tons of alloy A.
If you have 90 tons of iron ore, it is enough for 90/9 = 10 tons of alloy A.
Since iron ore is available for only 10 tons of alloy A, you can make only 10 tons of alloy A.
The leftover copper ore alone cannot make any alloy A and hence will be leftover only.
Answer must be 10.
(E)
Answer: E
Question: 4 guys buy same cellphones cost them 250 each. Two guy have 25% of for his first cellphone. What is the total cost all of them pay to seller.
Options:
A)1000
B)850
C)875
D)775
E)750
Rationale: Solution: C.250*2=500 for 2 guy without discount, for other 2 (250*2) with 25% is 375. total cost 500+375=875
Answer: C
Question: In a public show 45 % of the seats were filled. If there were 600 seats in the hall, how many seats were vacant?
Options:
A)330
B)110
C)120
D)140
E)150
Rationale: 75 % of 600
= 45/100 × 600
= 270
Therefore, the number of vacant seats = 600 - 270 = 330.
Answer:A
Answer: A
Question: How many three digit numbers B greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?
Options:
A)72
B)48
C)120
D)96
E)76
Rationale: Find the number of 3 digit numbers greater than 300, and then subtract from them the number of three digit numbers between 300 and 330 formed with the given 6 digits.
ABC three digit numbers greater than 300 - total of 4*5*4=80, because a must be greater than 2, so 4 possibilities left; B 5 remaining, and C 4 remaining possibilities to choose from.
Between 300 and 330 there are 1*2*4=8 numbers with the given property: A = 3, 1 possibility; B can be only 1 or 2 (ABC < 330), so two possibilities; C the remaining 4 possibilities after choosing A and B.
Total possible choice 80 - 8 =72=B
Answer: A.
Answer: A
Question: Let the sides of a rectangular prism are consecutive multiples of 5. Which among the following could be the base area
Options:
A)360
B)450
C)560
D)670
E)780
Rationale: Length=5*a
breadth=5*(a+1) or 5*(a+2)
Base area -> multiple of 25
450=25*18
Answer:B
Answer: B
Question: Two trains, 250 metres and 150 metres long respectively, are running on parallel lines. If they are running in the same directions, the faster train crosses the slower train in 40 seconds. If they are moving in the opposite direction they pass each other in eight seconds. What is the speed of the slower train?
Options:
A)108kmph
B)82kmph
C)92 kmph
D)72 kmph
E)87 kmph
Rationale: Let the speed of faster train be f and slower train be y.
Time taken to cross each other traveling in the same direction = 250 +150/ (x-y) = 40………(1)
Time taken to cross each other traveling in the opposite direction = 250+150 /(x+y) = 8 …….(2)
From (1) and (2) f= 30 m/s and s = 20 m/s
Speed of slower train = 20 * 18/5 = 72 kmph
Answer : D
Answer: D
Question: If integers ending in zero are excluded, what is the unit digit of the product of the even integers from 502 to 598, inclusive?
Options:
A)4
B)6
C)8
D)10
E)12
Rationale: 502 x 504 x 506 x 508 => unit digit 4
512 x 514 x 516 x 518 => unit digit 4
592 x 594 x 596 x 598 => unit digit 4
So we have 10 numbers ending by 4 to multiply.
Given that 4 x 4 = 16, we have 5 numbers ending by 6 to multiply
Given that 6 x 6 = 36, we have 3 numbers ending by 6 to multiply
So the unit digit is 6
Answer: B.
Answer: B
Question: Today is Brian's birthday. In two years from today he will be twice as old as he was 11 years ago. How old is Brian today ?
Options:
A)24 years
B)22 years
C)19 years
D)26 years
E)28 years
Rationale: Let Brian's age=xx+2=2(x-11)x=24ANSWER:A
Answer: A
Question: The arithmetic mean (average) of a set of 5 numbers is an integer A. Upon being divided by 180, A leaves a remainder of 30. If two of the numbers in the set are decreased by 120 and 180 units respectively, which of the following statements must be true about the new arithmetic mean B of the set?
I. The remainder that B leaves upon division by 180 is less than the remainder that A leaves upon division by 180.
II. When B is divided by 60, the remainder is 30.
III. The value of the decimal digits is greater in the number A/90 than in the number B/90.
Options:
A)I only
B)II only
C)III only
D)I and II only
E)I and III only
Rationale: A = 180n + 30 (n is any non negative integer)
A is 30/210/390...
If the total sum is reduced by 300, with 5 numbers, the average will go down by 60.
B = A - 60
I. The remainder that B leaves upon division by 180 is less than the remainder that A leaves upon division by 180.
B = 180n + 30 - 60 = 180n - 30 = 180(n-1) + 150
Not True. Remainder is 150
II. When B is divided by 60, the remainder is 30.
B = 180(n-1) + 150 = 180(n-1) + 120 + 30
True. B leaves remainder 30 on division by 60.
III. The value of the decimal digits is greater in the number A/90 than in the number B/90.
The decimal part of A is 30/90 = .333
The decimal part of B will be obtained by 150/90 = (90 + 60)/90 => 60/90 = .666
Not True.
Answer (B)
Answer: B
Question: A light has a rating of 110 watts, it is replaced with a new light that has 30% higher wattage. How many watts does the new light have?
Options:
A)143
B)145
C)156
D)134
E)100
Rationale: Final number = Initial number + 30%(original number) = 110 + 30%(110) = 110 + 33 = 143.
Answer A
Answer: A
Question: In what time will a train 135 m long cross an electric pole, it its speed be 140 km/hr?
Options:
A)3.5
B)2.7
C)2.9
D)2.3
E)2.1
Rationale: Speed = 140 * 5/18 = 38.8 m/sec
Time taken = 135/38.8
= 3.5 sec.
Answer: A
Answer: A
Question: A committee of four is to be chosen from seven employees for a special project at ACME Corporation. Two of the seven employees are unwilling to work with each other. How many committees are possible if the two employees do not work together?
Options:
A)15
B)20
C)25
D)35
E)50
Rationale: total combinations =7C4
total combinations if 2 persons who dont like each other are selected together= 5C3
Ans= 7C4-5C3
=25
ANSWER:C
Answer: C
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Options:
A)23 Years
B)20 Years
C)25 Years
D)22 Years
E)28 Years
Rationale: A
23 Years
Let the average age of the whole team by x years.
11x - (26 + 29) = 9(x -1)
11x - 9x = 46
2x = 46
x = 23.
So, average age of the team is 23 years
Answer: A
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Options:
A)30
B)31
C)32
D)34
E)35
Rationale: Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 28/2 = 35 cm2
Answer: Option E
Answer: E
Question: IF 1+3=10 ; 3+5=52 ; 5+7=174 Then 7+11=?
Options:
A)354
B)225
C)654
D)741
E)464
Rationale: 1^3 + 3^2= 1 + 9 = 10
3^3 + 5^2= 27 + 25 = 52
5^3 + 7^2= 125 + 49 = 174
and
7^3 + 11^2= 343 + 121 = 464
ANSWER:E
Answer: E
Question: CONVERT 1.3 hectares in ares
Options:
A)130 ares.
B)160 ares.
C)180 ares.
D)230 ares.
E)250 ares.
Rationale: 1.3 hectares in ares
1 hectare = 100 ares
Therefore, 1.3 hectares = 1.3 × 100 ares
= 130 ares.
ANSWER- A
Answer: A
Question: Lorna invests $8000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate?
Options:
A)$160
B)$1,700
C)$2,200
D)$4,400
E)$5,840
Rationale: We have that 'x' invested at 6%
We also have that '8000-x' invested at 11%
Now then 580/8000 is approx 10%
Therefore, -4x+8000-x=0
5x=8000
x=1600 approximately. Probably higher
Only B matches
Answer: B
Question: It would take one machine 8 hours to complete a large production order and another machine 7 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
Options:
A)A 15/56
B)B 14/45
C)C 24/56
D)D 45/56
E)E 56/15
Rationale: The rate of the first machine is 1/8 job per hour;
The rate of the second machine is 1/7 job per hour;
Thus, the combined rate of the machines is 1/8+1/7=15/56 job per hour, which means that it takes 1/(15/56)=56/15 hours both machines to do the job.
Answer: E.
Answer: E
Question: An airplane travels 4362 km against the wind in 6 hours and 5322 km with the wind in the same amount of time. what is the rate of the wind?
Options:
A)60km/hr
B)70km/hr
C)80km/hr
D)90km/hr
E)100km/hr
Rationale: Let the speed of the air plane in still air be x km/hr
And the speed of the wind be y km/hr.
Then speed of the airplane going with the wind = (x + y) km/hr
and speed of the airplane going against the wind = (x - y) km/hr.
We know that,
Distance = Speed ? Time
or, Speed = Distance
Time
According to the problem,
An airplane travels 4362 km against the wind in 6 hours
x - y = 4362/6
or, x - y = 727 ----------- (1)
Again, the airplane travels 5322 km with the wind in the same amount of time i.e. 6 hours
x + y = 5322/6
or, x + y = 887 ----------- (2)
Now add (1) and (2) we get,
x - y = 727
x + y = 887
2x = 1614
or, 2x/2 = 1614/2, (Divide both sides by 2)
or, x = 807
Now substitute the value of value of x = 807 in equation (2) we get,
807 + y = 887
-807 -807, (Subtract 407 from both sides)
y = 80
Answer:Rate of the wind = 80km/hr
correct answer C
Answer: C
Question: 5^2010
what will be the sum of digits?
Options:
A)6028
B)6029
C)6031
D)3021
E)6032
Rationale: 5^2=25 sum of digits =2+5=7
now if we take the power of 5 and do 2*3+1=7
similarly for 5^4=625 and sum=6+2+5=13
now do 4*3+1=13
similarly, 5^2010 sum of the digits would be 2010*3+1=6031
ANSWER:C
Answer: C
Question: If the true discount on s sum due 2 years hence at 14% per annum be Rs. 210, the sum due is:
Options:
A)s. 768
B)s. 960
C)s. 1960
D)s. 2400
E)s. 2800
Rationale: td=pw*r*t/100 so 210=pw*14*2/100 so pw=750
sum=pw+td..
sum=750+210=960
ANSWER:B
Answer: B
Question: From given equation find the value of x: 2x² + 9x − 5
Options:
A)1/2
B)1
C)3
D)4
E)5
Rationale: That quadratic is factored as follows:
2x² + 9x − 5 = (2x − 1)(x + 5).
Lesson 17.
Now, it is easy to see that the second factor will be 0 when x = −5.
As for the value of x that will make
2x − 1 = 0,
we must solve that little equation. (Lesson 9.)
We have:
2x = 1
x = 1
2
The solutions are:
x = 1/2 or −5
A
Answer: A
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
Options:
A)3312
B)2888
C)4312
D)2881
E)1221
Rationale: Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 264 and 2∏l = 352
s = 264/2∏ and l = 352/2∏
Difference between the areas = ∏l2 - ∏s2
= ∏{1762/∏2 - 1322/∏2}
= 1762/∏ - 1322/∏
= (176 - 132)(176 + 132)/∏
= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m
Answer: C
Answer: C
Question: An design manager has 10patterns of chairs & 6patterns of tables. In how many ways can he make a pair of table & chair?
Options:
A)20
B)60
C)80
D)90
E)100
Rationale: He has has ten patterns of chairs and eight patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 6 ways
Hence one chair and one table can be arranged in 10 x 6 ways = 60 ways
B
Answer: B
Question: A driver just filled the car's gas tank with 18 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Options:
A)1
B)1.5
C)1.8
D)2.4
E)3
Rationale: Let x be the number of liters of ethanol added to the gas tank.
0.05(18) + x = 0.1(18+x)
0.9x = 1.8 - 0.9
x = 1 liter
The answer is A.
Answer: A
Question: The denominator of a fraction is 5 greater than the numerator. If the numerator and the denominator are increased by 1, the resulting fraction is equal to 7â„12. What is the value of the original fraction?
Options:
A)6/11
B)8/13
C)11/16
D)12/17
E)14/19
Rationale: Let the numerator be x.
Then the denominator is x+5.
x+1 / x+6 = 7/12.
12x+12=7x+42.
5x=30.
x=6.
The original fraction is 6/11.
The answer is A.
Answer: A
Question: The interest on a certain deposit at 5% per annum is Rs. 101.20 in one year. How much will the additional interest in one year be on the same deposit at 6% per annum?
Options:
A)Rs.20.8
B)Rs.19.74
C)Rs.20.24
D)Rs.19.5
E)Rs.19.00
Rationale: Explanation :
Principal, P = 100×SI/RT=100×101.20/5×1=20×101.20=Rs. 2024
Simple Interest for Rs.2024 at 6% per annum for 1 year, SI = 2024×6×1100=121.44
Additional Interest = Rs.121.44 - Rs.101.20 = Rs.20.24
Answer : Option C
Answer: C
Question: 0.0004?=0.01
Options:
A)4
B)0.4
C)0.04
D)40
E)None of these
Rationale: Explanation :
Required Answer = 0.0004/0.01 = 0.04/1 = 0.04. Answer : Option C
Answer: C
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Options:
A)2887
B)444
C)877
D)278
E)178
Rationale: 1h ----- 5
? ------ 60
12 h
RS = 16 + 21 = 37
T = 12
D = 37 * 12 = 444
Answer: B
Answer: B
Question: What will be the compound interest on a sum of Rs.25,000 after 3 years at the rate of 12 p.c.p.a?
Options:
A)Rs.10111.00
B)Rs.10123.20
C)Rs.10123.00
D)Rs.10100.00
E)Rs.10110.00
Rationale: = Rs.(25000x(1+12/100)³
= Rs.(25000x28/25x28/25x28/25)
= Rs. 35123.20.
C.I = Rs(35123.20 -25000)
= Rs.10123.20
answer :B
Answer: B
Question: In what ratio P:Q should the Mixture P of milk and water in the ratio of 5:3 be mixed with another Mixture Q of milk and water in the ratio 1:3 so that the resultant mixture contains equal quantities of milk and water?
Options:
A)5:2
B)4:3
C)3:2
D)2:1
E)4:1
Rationale: (5/8)*P +(1/4)*Q = (3/8)*P+(3/4)*Q
2P=4Q
P/Q = 2/1
The answer is D.
Answer: D
Question: The difference of two numbers is 2 and the difference of their squares is 12. The sum of the number is
Options:
A)6
B)8
C)10
D)22
E)24
Rationale: Explanation:
Let the numbers be a, b; ⇒ a-b=2 and
a2−b2=12
a+b=a2−b2/a−b=12/2=6
Correct Option: A
Answer: A
Question: For the positive integers x, x + 2, x + 4, x + 7, and x + 22, the mean is how much greater than the median?
Options:
A)0
B)1
C)2
D)3
E)7
Rationale: Mean = (x + x+2 + x+4 + x+7 + x+22)/5
=(5x+35)/5
=x+7
Median = x+4
Thus Mean - Median = x+7 - (x+4)
=3
Answer = D
Answer: D
Question: There are cats got together and decided to kill the mice of 999951. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?
Options:
A)941,1009
B)993,1007
C)991,1009
D)791,1009
E)931,1009
Rationale: 999951 can be written as 1000000 â€“ 49
= 10002 â€“ 72 ie of the form a2-b2=(a+b)(a-b)
=(1000+7)*(1000-7)
= (1007)*(993)
Given that number of cats is less than number if mice.
So number of cats is 993 and number of mice were 1007
Answer B
Answer: B