RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Ms. Morris invested in Fund A and Fund B. The total amount he invested, in both funds combined, was $100,000. In one year, Fund A paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund A. How much did Ms. Morris invest in Fund A?
A.$32,000
B.$36,000
C.$40,000
D.$42,000
Answer: D.$42,000
Explanation: solution
This one could be solved with a good deal of hairy algebra, but backsolving is an incredibly efficient alternative. Let’s start with (C) — we’ll say Ms. Morris invested $40,000 in Fund A, which means she invested $60,0000 in fund B. In Fund A, she earned 23%, which was (0.23)*40000 = $9200. In Fund B, she earned 17%, which was (0.17)*60000 = $10200. Here, the interest earned in Fund B was $1000 more than the interest earned in Fund A, a bigger difference than we want. To make the difference smaller, we need less money in Fund B and more money in Fund A. Eliminate answers (A) & (B) & (C). Try D: We’ll say Ms. Morris invested $42,000 in Fund A, which means she invested $58,000 in Fund B. In Fund A, she earned 23%, which was (0.23)*42000 = $9660. In Fund B, she earned 17%, which was (0.17)*58000 = $9860. The difference is exactly $200, so answer D
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
A.0 sq m
B.7 sq m
C.2 sq m
D.3 sq m
Answer: A.0 sq m
Explanation: S = (1 + 2 + 3)/2 = 3
=> No triangle exists
Answer:A
Question: How many four-digit positive integers can be formed by using the digits from 1 to 9 so that two digits are equal to each other and the remaining two are also equal to each other but different from the other two ?
A.400
B.1728
C.108
D.216
Answer: D.216
Explanation: The number of ways u can chose two digits from 9 digits is 9C2=(9*8)/2.
And the no of ways u can arrange two digits like asked is 4C2=(4*3)/2.
total ways is 36*6=216.
Answer : D
Question: Find the one which does not belong to that group?
A.16
B.36
C.23
D.64
Answer: C.23
Explanation: Explanation:
16, 36, 64 and 4 are perfect squares but not 23.
Answer:C
Question: The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is
A.720
B.180
C.75
D.65
Answer: C.75
Explanation: Explanation:
The hour hand moves from pointing to 12 to pointing to half way between 2 and 3. The angle covered between each hour marking on the clock is 360/12 = 30. Since the hand has covered 2.5 of these divisions the angle moved through is 75.
Answer: C
Question: 72519 x 9999 = ?
A.725117481
B.674217481
C.685126481
D.696217481
Answer: A.725117481
Explanation: =7259 x 9999
=7259 x (10000 - 1)
=72519 x 10000 - 72519 x 1
=725190000 - 72519
=725117481
Answer is A
Question: In a school with 600 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
A.150
B.200
C.250
D.350
Answer: A.150
Explanation: Sol.
Let the number of grils be x.
Then, number of boys = (600 - x).
Then, (11 3/4 × 600)
⇔ 11x + 12(600 - x) ⇔ x = 7200 - 7050 ⇔ 150.
Answer A
Question: If the probability that Green Bay wins the Super Bowl is 1/10 and the probability that Milwaukee wins the World Series is 1/15, what is the probability that either Green Bay wins the Super Bowl or Milwaukee wins the World Series (but not both)?
A.23/150
B.19/120
C.17/100
D.11/80
Answer: A.23/150
Explanation: 9/10*1/15 + 1/10*14/15 = 23/150
The answer is A.
Question: The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is:
A.10
B.46
C.70
D.90
Answer: A.10
Explanation: Let the numbers be x and (100 - x).
Then, x(100 - x) = 5 * 495
x2 - 100x + 2475 = 0
(x - 55)(x - 45) = 0
x = 55 or 45
The numbers are 45 and 55.
Required difference = 55 - 45 = 10.
ANSWER:A
Question: Richie made a part payment of $325 toward buying a brand new scooter, which represents 8% of the total cost of the scooter, how much remains to be paid?
A.$2275
B.$3275
C.$1275
D.$1175
Answer: A.$2275
Explanation: Explanation:
Let's start with what the total price of the scooter would be. If 8% is equal to $325 then 100% equals $x. We just have to multiply $325 by 8% to get total amount=$2600. Out of this amount we then need to deduct the amount already paid which was $325 so we have $2600-$325=$2275
Answer: Option A
Question: 317 x 317 + 283 x 283=?
A.79698
B.80578
C.80698
D.180578
Answer: D.180578
Explanation: =(317)^2 + (283)^2
=(300+17)^2 + (300-17)^2
=2[(300)^2+(17)^2]
=2[90000+289]
=2 x 90289 = 180578
Answer is D
Question: Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 5h. What is the respective ratio of distances covered by Car A & Car B?
A.11 : 6
B.52 : 35
C.13 : 7
D.15 : 6
Answer: B.52 : 35
Explanation: Sol. Distance travelled by Car A = 65 Ã— 8 = 520 km
Distance travelled by Car B = 70 Ã— 5 = 350 km
Ratio = 520/350 = 52 : 35
B
Question: Q and F represent two distinct digits. If the number 457Q89F is divisible by 36, what is the value of (Q+F)?
A.a) 9
B.b) 3
C.c) 12
D.d) 6
Answer: B.b) 3
Explanation: A no. divisible by 36 means it is div by 49 .
to be div by 4 last 2 digits to be multiple of 4 So, F could be either 2 or 6 only
similarly for a number to be div by 9 its sum must be multiple of 9 first. filtering we find Q could be either 1,4,7 only.
To be divisible by 9 only 1 works .(if we choose f=6 then Q have to be 6 but as per condition QF are distinct) So
Q=1
F=2
Ans:- 3.B
Question: The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
A.1000
B.2000
C.3000
D.4000
Answer: A.1000
Explanation: 2 * 22/7 * 1.75 * x = 11000
x = 1000
ANSWER:A
Question: If John covers a certain distance in 1 hr. 24 min. by covering two third of the distance at 4 kmph and the rest at 5 kmph, then find the total distance.
A.9 km
B.2 km
C.1 km
D.6 km
Answer: D.6 km
Explanation: Explanation:
Let the total distance be y km. Then,
(2/3)y/4 +(1/3)y/5 =7/5
y/6 + y/15 = 7/5
7y =42
y = 6 km
ANSWER:D
Question: In a school with 5 classes, each class has 2 students less than the previous class. How many students are there in the largest class if the total number of students at school is 120?
A.25
B.26
C.27
D.28
Answer: D.28
Explanation: Let x be the number of students in the largest class.
Then x + (x-2) + (x-4) + (x-6) + (x-8) = 120
5x -20 = 120
5x = 140
x = 28
The answer is D.
Question: A man buys a cycle for Rs.1400 and sells it at a loss of 15%. What is the selling price of the cycle?
A.Rs.1090
B.Rs.1160
C.Rs.1190
D.Rs.1202
Answer: C.Rs.1190
Explanation: Solution
S.P	= 85% of Rs.1400
= Rs.(85/100×1400)
Rs.1190.
Answer C
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly 8 hours to fill a swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?
A.28/3
B.32/3
C.35/3
D.40/3
Answer: D.40/3
Explanation: Let the rate of the slow pump be x. Then the rate of the fast pump is 1.5x.
(x+1.5x) = 2.5x = 1/8 of the capacity of the whole pool per hour.
The rate of the fast pump is (1.5/2.5)*1/8 = 3/40 of the whole pool per hour.
The time it takes the faster pump to fill the pool would be 40/3 hours.
The answer is D.
Question: Select the correct combi nat ion of mathematical signs to replace * signs and to balance the given equation. 8 * 5 * 2 * 72 * 4
A.= × + ÷
B.× = + ÷
C.+ × = ÷
D.× + = ÷
Answer: C.+ × = ÷
Explanation: C
8 + 5 × 2 = 72 ÷ 4
8 + 10 = 18
18 = 18
Question: The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle?
A.22
B.37
C.87
D.84
Answer: D.84
Explanation: Let inner radius be r metres. Then, 2
r = 440 ; r = = 70 m.
Radius of outer circle = (70 + 14) m = 84 m.
Answer: D
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 162 km/hr
A.8.5 seconds
B.2.22 seconds
C.3.5 seconds
D.2.5 seconds
Answer: B.2.22 seconds
Explanation: First convert speed into m/sec
Speed = 162*(5/18) = 45 m/sec
Time = Distance/speed
= 100/45 = 2.22 seconds
Answer: B
Question: The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams T?
A.T=16
B.T=32
C.T=64
D.128
Answer: B.T=32
Explanation: Weight directly proportional to 4 pi r^2
Now, 4pi is constant, so, weight is directly proportional to r^2.
When radius = 0.15, weight = 8, so (0.15) ^ 2 proportional to 8;
(0.15)^2 * 4 proportional to 8*4, solving further
(0.15)^2 * 2 ^2 = (0.15*2)^2 = 0.3 ^ 2; so answer = 32 (B)
Question: A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 3% higher then what would the sum amount in the same time period?
A.Rs. 4465
B.Rs. 3683
C.Rs. 3596
D.Data inadequate
Answer: B.Rs. 3683
Explanation: 3422=2900+(2900*R*3/100)
R=6
If R is 3 more.
Then R=9
Sum=2900+(2900*9*3/100)
Sum=3683
ANSWER:B
Question: What will be the cost of building a fence around a square plot with area equal to 289 square feet, if the price per foot of building the fence is Rs. 58?
A.3944
B.3932
C.3929
D.3926
Answer: A.3944
Explanation: Let the side of the square plot be a foot
a2 = 289 => a = 17
Length of the fence = Perimeter of the plot = 4a = 68 foot
Cost of building the fence = 68 * 58
= Rs.3944.
Answer:A
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
A.20%
B.26%
C.80%
D.10%
Answer: A.20%
Explanation: SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
Answer:A
Question: X is the largest prime number less than positive integer N. P is an integer such that P = X – 16. Also, Z = 1*2*…*P√P. If N is the first non-zero perfect square whose tens digit and units digit are same, How many different prime factors does Z have?
A.4
B.5
C.6
D.160
Answer: A.4
Explanation: If N is the first perfect square whose tens digit and units digit are same, then N=100.
X is the largest prime number less than positive integer N , then X is
97.
P is an integer such that P = X – 16.
So P=81
Z=(P^1/2)! = 9!
How many different prime factors does Z have?
Answer 4 (2,3,5,7)
ANSWER:A
Question: If x^2 + y^2 = 15 and xy = 3, then (x − y)^2 =
A.8
B.9
C.14
D.17
Answer: B.9
Explanation: but you cannot take xy+ 3 to mean xy=-3..
only if xy+3=0, it will mean xy=-3..
rest your solution is perfect and you will get your correct answer as 15-2*3=9..
Answer B
Question: Magnabulk Corp sells boxes holding n magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?
A.100bn/m
B.100m/bn
C.bn/(100m)
D.m/(bn)
Answer: B.100m/bn
Explanation: We're given some facts to work with:
1) Magnabulk Corp sells boxes holding N magnets each.
2) The boxes are shipped in crates, each holding B boxes.
3) Magnabulk charges M DOLLARS for each crate
We're asked for the price charged per magnet, in CENTS....
IF....
N = 2
B = 3
M = 12
(2 magnets per crate)(3 crates) = 6 magnets
$12 for 6 magnets = $2 per magnet = 200 cents per magnet
So we're looking for an answer that equals 200 when N=2, B=3 and M=12.
There's only one answer that matches...
Question: Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :
A.81
B.82
C.85
D.90
Answer: C.85
Explanation: Since the numbers are co-prime, they contain only 1 as the common factor.
Also, the given two products have the middle number in common.
So, middle number = H.C.F of 551 and 1073 = 29;
First number = 551/29 = 19
Third number = 1073/29 = 37.
Required sum = 19 + 29 + 37 = 85.
ANSWER:C
Question: There is a equilateral triangle whose area is A. Another triangle is formed by joining the mid points. This process is continued. Find the sum of these areas.
A.43A
B.45A
C.47A
D.49A
Answer: A.43A
Explanation: Let ABC is an equilateral triangle with area = A
Remember: The area of the triangle formed when mid points of the triangle is joined is exactly one-fourth of the bigger triangle. So Area of DEF = A/4. Similarly Area of GHI = A/16 and so on ...
So Sum of the areas of all triangles = A+A4+A16+...A+A4+A16+...
⇒A(1+14+116+...)⇒A(1+14+116+...)
The series in the bracket is G.P. and S∞=a1−rS∞=a1−r
⇒A⎛⎝11−14⎞⎠⇒A(11−14) ⇒43A
Answer:A
Question: Some amount is lent at 6% per annum simple interest.After 1 year rupees 6800 is repaid and the rest of the amount is repaid at 5% per annum.If the second year's interest is 11/20 of the first years interest,find what amount of money was lent out.
A.17000
B.16800
C.16500
D.17500
Answer: A.17000
Explanation: Let the amount=x
Interest after 1st year= x*6/100=3x/50
Lent sum remained after repaying 6800 Rs= x+(3x/50) - 6800= (53x/50)- 6800
Interest after 2nd year=[(53x/50)- 6800]*5/100
Given, second year's interest is 11/20 of the first years interest,so [(53x/50)- 6800]*5/100=(11/20)*3x/50
=> (53x/50)- 6800 = 33x/50
=> 20x= 340000
=> x= 17000
ANSWER:A
Question: A cyclist covers a distance of 820 meter in 2 minutes 30 seconds. What is the speed in km/hr of cyclist
A.16 km/hr
B.17 km/hr
C.18 km/hr
D.19.8 km/hr
Answer: D.19.8 km/hr
Explanation: Explanation:
Speed=Distance/Time
Distance=820meter
Time=2 min 30sec=150sec
Speed=820/150=5.5m/sec
=>5.5âˆ—18/5km/hr=19.8km/hr
Option D
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
A.18
B.16
C.21
D.26
Answer: A.18
Explanation: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/9
=> 1/x = 1/6 - 1/9 = (3 - 2)/18 = 1/18
=> x = 18.
Answer: A
Question: In what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way?
A.6 sec
B.7 sec
C.8 sec
D.9 sec
Answer: B.7 sec
Explanation: T = 70/36 * 18/5
= 7 sec
Answer:B
Question: In a 1000 m race, A beats B by 50 m and B beats C by 50 m. In the same race, by how many meters does A beat C?
A.A)98m
B.B)829m
C.C)822m
D.D)929m
Answer: A.A)98m
Explanation: By the time A covers 1000 m, B covers (1000 - 50) = 950 m.
By the time B covers 1000 m, C covers (1000 - 50) = 950 m.
So, the ratio of speeds of A and C =
1000/950 * 1000/950 = 1000/902 So, by the time A covers 1000 m, C covers 902 m.
So in 1000 m race A beats C by 1000 - 902 = 98 m.
Answer:A
Question: If the President and Vice President must sit next to each other in a row with 5 other members of the Board, how many different seating arrangements are possible?
A.120
B.1440
C.300
D.360
Answer: B.1440
Explanation: We need to take President and VP as one unit. Therefore we have 6 people to arrange=6! ways
Also, we both President and VP can be arranged in 2 ! ways.
Reqd no of ways=6!*2!=1440 ways
Answer B
Question: The area of a rectangle plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot?
A.10m
B.20m
C.50m
D.40m
Answer: B.20m
Explanation: lb = 460 m power2...(Equation 1)
Let the breadth = b
Then length, l = b × (100+15)/100 = 115b/100 ...(Equation 2)
From Equation 1 and Equation 2,
115b/100 × b = 460
b2 = 46000/115 = 400
⇒ b = √400 = 20 m
Answer is B.
Question: If x = 4^16 and x^x = 4^k, what is k?
A.4^14
B.4^16
C.4^18
D.4^20
Answer: C.4^18
Explanation: Solution:
We know that x=4^16
which implies x^x = (4^16)^(4^16) = 4^(16 * 4^16) [because (x^y)^z = x^(y*z))]
so 4^(4^2 * 4^16) = 4^(4^(2+16)) [because x^a * x^b = x^(a+b)]
therefore x^x = 4^(4^18)
Given that x^x=4^k
so 4^(4^18) = 4^k
Since the base is same the exponent will also be same
therefore k = 4^18
Answer:C
Question: Find the greatest number that exactly divides 35, 91 and 840?
A.5
B.6
C.7
D.8
Answer: C.7
Explanation: The greatest number that exactly divides 35, 91 and 840 is the HCF of the three numbers. So, calculating HCF we get the answer 7.
ANSWER:C
Question: A man buys a cycle for Rs. 1900 and sells it at a loss of 18%. What is the selling price of the cycle?
A.s. 1590
B.s. 1560
C.s. 1558
D.s. 1252
Answer: C.s. 1558
Explanation: S.P. = 82% of Rs. 1900 = Rs.	82	x 1900/100 = Rs. 1558
Answer: Option C
Question: The average of the marks of 12 girls in a class is 36. If the marks of each girl are doubled, find the new average?
A.68
B.70
C.72
D.74
Answer: C.72
Explanation: Sum of the marks for the 12 girls= 12 * 36 = 432. The marks of each student are doubled, the sum also will be doubled.
The new sum = 432 * 2 = 864. So, the new average = 864/12 = 72
C
Question: A hollow spherical metallic ball has an external diameter 6 cm and is 1/2 cm thick. The volume of metal used in the metal is:
A.47 1/5cm3
B.47 3/5cm3
C.47 7/5cm3
D.47 9/5cm3
Answer: B.47 3/5cm3
Explanation: Explanation:
Please note we are talking about "Hollow" ball. Do not ignore this word in this type of question in a hurry to solve this question.
If we are given with external radius and thickness, we can get the internal radius by subtracting them. Then the volume of metal can be obtained by its formula as,
External radius = 3 cm,
Internal radius = (3-0.5) cm = 2.5 cm
Volume of sphere =4/3πr3
=4/3∗22/7∗[3(2)−2.52]cm3
=4/3∗22/7∗91/8cm3
=143/3cm3=47 2/3cm3
Option B
Question: On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.6, what is the probability that Malachi will return home at the end of the day on the following Monday?
A.0.096
B.0.128
C.0.488
D.0.512
Answer: A.0.096
Explanation: Re-phrasing the question:
What is the probability of: Saturday: No rain, Sunday: No rain, Monday: Rain
Probablity of rain = 0.6
Therefore, probability of no rain = 0.4
0.4*0.4*0.6 = 0.096
Hence A
Question: A school having five classes only have student strength of 10, 10, 20, 20 and 40 respectively. The pass percentages of these classes are 20%, 30%, 60%, 90% and 100% respectively. What is the pass percentage for the entire school?
A.56%
B.75%
C.34%
D.66%
Answer: B.75%
Explanation: 20% of 10+30% of 10+60% of 20+90% of 20+100% of 40
=2+3+12+18+40 =
now 75 of 100
= 75%
ANSWER:B
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
A.2 1/4
B.3 1/4
C.4 1/2
D.5
Answer: A.2 1/4
Explanation: P ---- 2P ---- 8 years
2 1/4 P ---- 10 years
ANSWER A
Question: 63.2 is what percent of 867?
A.6.9
B.8.99
C.7.29
D.7.98
Answer: C.7.29
Explanation: We assume that 867 is 100%
assume 'x' is value we looking for
here,
867 = 100% and
x% = 63.2
therefore,
100/x = 867/63.2
100/x = 13.71
x = 7.29
C
Question: If x > y^4 > z^5, which of the following statements could be true? I. x>y>z II. x>z III.y=z
A.I,II only
B.III only
C.II only
D.I only
Answer: A.I,II only
Explanation: Answer : A
Question: What is the sum of 59 consecutive integers from -29 inclusive, in a increasing order?
A.-29
B.29
C.-30
D.0
Answer: D.0
Explanation: From -29 to -1 --> 29 nos.
zero --> 1 number
from +1 to +29 --> 29 nos.
When we add up nos. from -29 to +29 sum will be zero for total 59 nos.
Sum of these 59 nos. = 0.
D is the answer.
Question: In how many ways can a group of 5 men and women be made out of a total of 7 men and 3 women?
A.64
B.75
C.45
D.63
Answer: D.63
Explanation: Required number of ways=7c5 x 3c2
=7c2 x 3c1
=63
ANS: D
Question: At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 11 charts have been brought to the meeting, how many people are present?
A.6
B.7
C.8
D.9
Answer: B.7
Explanation: Say there are 'A' associate professors. So we have 2A pencils and A charts.
Say there are 'B' assistant professors. So we have B pencils and 2B charts.
Total pencils are 10 so 2A + B = 10
Total charts are 11 so A + 2B = 11
Add both: 3A + 3B = 21 so A + B = 7
Total number of people = 7
ANSWER:B
Question: What approximate value should come in place of the question mark(?) in the following equation?
6.39 × 15.266 + 115.8 of 2⁄5 = ?
A.145
B.165
C.180
D.130
Answer: A.145
Explanation: ? = 6.39 × 15.266 + 115.8 of 2⁄5
≈ 6.50 × 15 + 115 × 0.4 = 97.50 + 46 ≈ 145
Answer A
Question: A girl purchased “m” number of pens of type “A” at the unit price of “Rs. x” each, “n” number of pens of type “B” at the unit price of “Rs. y” each and “p” number of pens of type “C” at the unit price of “Rs. z” each. Which of the following represents the average price of all the pens taken together?
A.(mx + ny + pz) / (m + n + p)
B.(mA + nB + pC) / (m + n + p)
C.(mA + nB + pC) / (A + B + C)
D.(mx + ny + pz) / (A +B + C)
Answer: A.(mx + ny + pz) / (m + n + p)
Explanation: Explanation:
(mx + ny + pz) / (m + n + p)
Required Average = Total Price / Total number = (mx + ny + pz) / (m + n + p)
ANSWER: A
Question: By selling an umbrella for Rs. 200, a shop keeper gains 50%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
A.20
B.25
C.15
D.10
Answer: B.25
Explanation: Marked price = Rs. 200
C.P. = 100/150 * 200 = Rs. 200
Sale price = 90% of Rs. 200 = Rs. 180
Required gain % = 50/200 * 100 = 25%.
Answer:B
Question: List K consists of 12 consecutive integers. If -5 is the least integer in list K, what is the range of the positive integers in list K?
A.5
B.6
C.7
D.11
Answer: A.5
Explanation: Answer = A= 5
If least = -5, then largest = 6
Range = 6 - 1 = 5
Question: The radius of the wheel of a bus is 250 cms and the speed of the bus is 66 km/h, then the r.p.m. (revolutions per minutes)of the wheel is
A.70
B.125
C.300
D.500
Answer: A.70
Explanation: Radius of the wheel of bus = 250 cm. Then,
circumference of wheel = 2Ï€r = 500Ï€ = 1571.43440 cm
Distance covered by bus in 1 minute
= 66â„60 Ã— 1000 Ã— 100 cms
Distance covered by one revolution of wheel
= circumference of wheel
= 1571.45 cm
âˆ´ Revolutions per minute = 6600000/60Ã—1571.43 = 70
Answer A
Question: Two numbers are respectively 20% and 50% more than a third number. The ratio of the two
numbers is
A.2:5
B.3:5
C.4:5
D.6:5
Answer: C.4:5
Explanation: Explanation:
Let the third number be x.
First Number (120/100)*x = 6x/5
Second Number (150/100)*x = 3x/2
Ratio = 6x/5:3x/2
=> 4:5
Answer: C
Question: The average weight of a group of boys is 30 kg. After a boy of weight 36 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
A.A)5
B.B)8
C.C)6
D.D)2
Answer: A.A)5
Explanation: Let the number off boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 36 kg joins the group, total weight of boys = 30x + 36
So 30x + 36 = 31(x + 1) = > x = 5.
Answer:A
Question: 80 is what percent of 40?
.
A.0.2%
B.2%
C.200%
D.20%
Answer: C.200%
Explanation: 80= x*40/100
x = 200%
Ans; C
Question: 9 years ago I was five times as old as my eldest son. Today I am 3 times his age. How old am I now?
A.34
B.44
C.54
D.64
Answer: C.54
Explanation: x-9=5(y-9)
& x=3y
x-9=5x/3-45
x=54
ANSWER:C
Question: A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 7 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
A.42
B.70
C.147
D.165
Answer: C.147
Explanation: Ans: 147
7C1 * 7C2
Answer C)
Question: How many days will there be from 26th January,1996 to 15th May,1996(both days included)?
A.102
B.103
C.111
D.120
Answer: C.111
Explanation: Explanation :
Number of days from 26-Jan-1996 to 15-May-1996 (both days included)
= 6(Jan) + 29(Feb) + 31 (Mar) + 30(Apr)+ 15(May) = 111
Answer : Option C