RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If n is an even integer, then which of the following must be an odd integer?
A.2n
B.3n
C.3n + n^2 + 2
D.n^2 + 1
Answer: D.n^2 + 1
Explanation: Answer: D
A: 2n = even
B: 3n = even
C: 3n + n^2 + 2 = even
D: n^2 + 1 = odd
E: 2n + n^2 = even
Answer: D
Question: Three years ago the average age of a family of 4 members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
A.A)7
B.B)6
C.C)5
D.D)4
Answer: A.A)7
Explanation: 4 * 22 = 88
5 * 19 = 95
--------------
7
Answer: A
Question: A car was driving at 50 Km/h for 30 minutes, and then at 90 Km/h for another 40 minutes. What was its average speed?
A.102
B.80
C.75
D.70
Answer: A.102
Explanation: driving at 50 Km/h for 30 minutes ,distance covered = 50*1/2=25 km
driving at 90 km/h for 40 minutes ,distance covered = 90*2/3=60 km
average speed = total distance/total time = 85/5/6 = 102 km/h
Answer: A
Question: A big cube is formed by rearranging the 160 coloured and 56 non-coloured similar cubes in such a way that the exposure of the coloured cubes to the outside is minimum. The percentage of exposed area to the coloured is :
A.25.9%
B.44.44%
C.35%
D.61%
Answer: B.44.44%
Explanation: Well the big cube which has the side built with 6 little cubes (6^3) will haveinsidethe cube which has the side built with 4 little cubes (6-2 edges), so 4^3... Similarly, the cube which has the side built with 4 little cubes (4^3) will haveinsidethe cube which has the side built with 2 little cubes, (4-2 edges), so 2^3... answer is B
Question: if 40% of (x-y) = 30% of (x+y) then what percent of x is y?
A.2.5%
B.10%
C.5%
D.14%
Answer: D.14%
Explanation: 40% of (x-y)=30% of(x+y)
(40/100)(x-y)=(30/100)(x+y)
4(x-y)=3(x+y)
x=7y
x=7y
therefore required percentage
=((y/x) X 100)% = ((y/7y) X 100) =14%
Answer is D.
Question: If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 10 degrees?
A.π
B.2π/9
C.2π
D.5π/2
Answer: B.2π/9
Explanation: Area = 16π
Radius = 4
Circumference = 2 x 4 x π = 8π
Angle forming the arc = 10 degrees. 10/360 = 1/36.
Therefore length of arc = 1/36 * 8π = 2π/9 - Answer choice B.
Question: In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
A.3 : 7
B.5 : 7
C.7 : 3
D.7 : 5
Answer: C.7 : 3
Explanation: Explanation:
By the rule of alligation:
Cost of 1 kg pulses of 1st kindCost of 1 kg pulses of 2nd kind
Required rate = 3.50 : 1.50 = 7 : 3.
ANSWER IS C
Question: Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x
A.4
B.5
C.6
D.1
Answer: A.4
Explanation: Explanation:
9 x + x = 13 + 27
10 x = 40 => x = 4
Answer: A
Question: The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02/ 0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04	is:
A.0.215
B.0.512
C.0.521
D.0.125
Answer: D.0.125
Explanation: Given expression
=(0.1)(power 3) + (0.02)(power 3) /2(power 3) [(0.1)(power 3) + (0.02)(power 3)]
=1/8
= 0.125
Answer is D.
Question: A is older than B by 5years. Seven years hence, thrice A's age shall be equal to four times that of B. Find their present ages.
A.14, 7
B.10, 5
C.13, 8
D.12, 8
Answer: C.13, 8
Explanation: Explanation:
Let the present ages of A and B be 'a' and 'b' respectively.
3(a + 7)= 4( (b +7 ) --- (1) =>3a-4b=7 -------(1)
a-b = 5 -------(2) Solving (1) and (2) we get b=8
Substituting b = 8 in second equation, we get a= 13. Answer : C
=> 2a = 32 => a = 16.
Answer: C
Question: 365:90::623:?
A.36
B.45
C.123
D.63
Answer: A.36
Explanation: 365---3*6*5....90
623---6*2*3....36
answer A
Question: Each person in Room A is a student, and 1/6 of the students in Room A are seniors. Each person in Room B is a student, and 5/7 of the students in Room B are seniors. If 1 student is chosen at random from Room A and 1 student is chosen at random from Room B, what is the probability that exactly 1 of the students chosen is a senior?
A.5/42
B.37/84
C.9/14
D.16/21
Answer: C.9/14
Explanation: Probability of choosing senior from Room A=1/6, Non senior=5/6
Probability of choosing senior from Room B=5/7, Non senior=2/7
Reqd probability= (1/6*2/7)+(5/7*5/6)=27/42=9/14
Answer C
Question: if 1/8 of a pencil is black ½ of the remaining is white and the remaining 3 ½ is blue find the total length of the pencil?
A.8
B.5
C.7
D.6
Answer: A.8
Explanation: Let the total length be xm
Then black part =x/8cm
The remaining part=(x-x/8)cm=7x/8cm
White part=(1/2 *7x/8)=7x/16 cm
Remaining part=(7x/8-7x/16)=7x/16cm
7x/16=7/2
x=8cm
Answer is A.
Question: Cars P and Q are approaching each other on the same highway. Car P is moving at 47 mph northbound and Car Q is moving at 53 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?
A. 3:30 pm
B. 3:45 pm
C. 4:00 pm
D. 4:15 pm
Answer: D. 4:15 pm
Explanation: Total distance, which should be covered by both cars is 190+35=225 miles.
Let t be the time so the equation will be 47t+53t=225 thus,
t=2.25 hours
Answer: D
Question: Jimâ€™s Taxi Service charges an initial fee of $2.0 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
A.$5.15
B.$4.45
C.$4.80
D.$5.05
Answer: A.$5.15
Explanation: Let the fixed charge of Jimâ€™s Taxi Service = 2 $
and charge per 2/5 mile(.4 mile) = .35$
Total charge for a trip of 3.6 miles = 2 + (3.6/.4) * .35
= 2 + 9*.35
= 5.15 $
Answer A
Question: The graphs of the two linear equations ax + by = c and bx - ay = c, where a, b and c are all not equal to zero,
A.are parallel
B.intersect at one point but not perpendicular
C.intersect at two points
D.perpendicular
Answer: D.perpendicular
Explanation: find the slopes of the two lines
a x + b y = c , slope m1 = - a / b
b x - a y = c , slope m2 = b / a
m1*m2 = (- a / b)(b / a) = - 1
The two lines are perpendicular
ANSWER : D
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 16 years replaced by a new boy. The age of the new boy is?
A.12 years 8 months
B.15 years
C.16 years 4 months
D.17 years 10 months
Answer: A.12 years 8 months
Explanation: Total decrease = (20 x 2) months
= 3 years 4 months
Age of the new boy
= 16 years - 3 years 4 months.
= 12 years 8 months.
ANSWER:A
Question: Sally bought a dozen items at 120.00 per dozen. What will Sally have to sell each item for to generate a 15% profit?
A.10.15
B.11.5
C.15.0
D.21.5
Answer: B.11.5
Explanation: C.P. is 120/12=10
Desired profit=15%
The calculation for markup is (C.P.*desired profit/100)=10*15/100=1.5
The calculation for final sale price=C.P.+markup=10+1.5=11.5
ANSWER:B
Question: log3 N+log15 N what is 3 digit number N that will be whole number
A.3375
B.7292
C.8291
D.3929
Answer: A.3375
Explanation: No of values N can take is 1
15^3=3375
ANSWER:A
Question: The largest 4 digit number exactly divisible by 88 is?
A.A)9944
B.B)9954
C.C)9967
D.D)9969
Answer: A.A)9944
Explanation: Largest 4-digit number = 9999
88) 9999 (113
88
----
119
88
----
319
264
---
55
---
Required number = (9999 - 55)
= 9944.
A)
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.277 m
B.268 m
C.276 m
D.150 m
Answer: D.150 m
Explanation: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train
= (Speed x Time) = (50/3 * 9) m
= 150 m.
Answer:D
Question: Find 10th term in the series 1, 3, 5, 7, ...
A.19
B.20
C.21
D.22
Answer: A.19
Explanation: SOLUTION:
a = 1
d = 3 – 1 = 2
10th term, t10 = a + (n-1)d = 1 + (10 – 1)2 = 1 + 18 = 19
ANSWER IS A
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. 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
A.s.2718
B.s.4586
C.s.4597
D.s.4530
Answer: A.s.2718
Explanation: 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 * 3
=Rs.2718
Answer: A
Question: A car travels the first 1/3 of certain distance with a speed of 12km/hr the next 1/3 distance with a speed of 20 km/hr, and the last 1/3 distance with a speed of 60 km/hr. the average speed of the car for the whole journey is?
A.12km/hr
B.20km/hr
C.89km/hr
D.52km/hr
Answer: B.20km/hr
Explanation: Let the whole distance travelled be x km
and the average speed of the car for he whole journey be y km/hr
then (x/3)/12+(x/3)/20+(x/3)/60=x/y
x/36+x/60+x/180=x/y
1/20y=1
y=20km/hr
Answer(B)
Question: If a sum of money doubles itself in 8 years at simple interest, the ratepercent per annum is
A.12
B.12.5
C.13
D.13.5
Answer: B.12.5
Explanation: Explanation:
Let sum = x then Simple Interest = x
Rate = (100 * x) / (x * 8) = 12.5
Option B
Question: Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
A.1683
B.1753
C.1523
D.1433
Answer: A.1683
Explanation: L.C.M. of 5,6,7,8 = 840.
Therefore, Required number is of the form 840k + 3
Least value of k for which (840k + 3) is divisible by 9 is k = 2.
Therefore, Required number = (840 X 2 + 3)=1683
Answer is A.
Question: 26 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
A.625
B.650
C.576
D.600
Answer: B.650
Explanation: we can go in any bus out of the 26 buses.
Hence He can go in 26 ways.
Since we can not come back in the same bus that he used for travelling,
we can return in 25 ways.
Total number of ways = 26 x 25 = 650
ANSWER:B
Question: A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.600 more. What was the Sum?
A.Rs.1200
B.Rs.1300
C.Rs.1400
D.Rs.1500
Answer: A.Rs.1200
Explanation: At 5% more rate, the increase in S.I for 10 years = Rs.600 (given)
So, at 5% more rate, the increase in SI for 1 year = 600/10 = Rs.60/-
i.e. Rs.60 is 5% of the invested sum
So, 1% of the invested sum = 60/5
Therefore, the invested sum = 60 × 100/5 = Rs.1200 Answer: A
Question: Jeff has 252 ounces of peanut butter in 16, 28. and 40 ounce jars. He has an equal number of each sized jar. How many jars of peanut butter does Jeff have?
A.9
B.8
C.7
D.10
Answer: A.9
Explanation: Let p equal the number of each sized jarThen 16p + 28p + 40p = 25284p = 252p = 3Therefore, the total number of jars of peanut butter Jeff has = 3p = 9Answer: A
Question: Bricks are sold in packages of eight or thirteen only. If Timmy, a builder, bought 144 bricks exactly, what could be the number of large packs Timmy bought?
A.12
B.5
C.6
D.8
Answer: D.8
Explanation: Let number of packs of eight = e
let number of packs of thirteen = t
8e + 13t = 144
Now , we need to test for values of t .
Since sum 144 is even and 8s will always be even , t can't be odd .
Now , we can test for values e = 12 , 8 and 6
8*5 + 13*8 = 40 + 104 = 144
Answer D
Question: Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Mettur. Mettur, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mettur over the total taxable land of the village is:
A.0.20833
B.1.23455
C.2.45466
D.5.54353
Answer: A.0.20833
Explanation: Total land of Sukhiya = \inline \frac{480x}{0.6} = 800x
\therefore Cultivated land of village = 384000x
\therefore Required percentage = \inline \frac{800x}{384000}\times 100 = 0.20833
A
Question: Two circular frames are kept one above the other. Frame X has a diameter of 16 cm and Frame Y has a diameter of 12 cm. What fraction of the surface of Frame X is not covered by Frame Y?
A.3/5
B.7/16
C.12/16
D.24/12
Answer: B.7/16
Explanation: The questions asks us to find the surface which is not covered by the Frame Y i.e., area of the surface not covered.
Where as circumference is the length along the edge of the circle,
2*pi*r implies the length of the curve
pi*r^2 implies area enclosed by that curve..hence Area of the circle is considered for this problem
Area of the Frame Y=pi* r^2, where r=6
=>pi*36
Area of the Frame X=pi*64
Surface not covered by the Frame Y=pi*64-pi*36=Pi*28
fraction of Frame X's surface is not covered by a Frame Y= Pi*28/total area of the Frame X
=28/64=7/16
Answer is B
Question: The product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller of these two numbers?
A.10
B.12
C.14
D.15
Answer: B.12
Explanation: Solution
Let the number be x and (28 - x)	= Then,
x (28 - x) = 192
‹=›x2 - 28x + 192 = 0.
‹=›(x - 16) (x - 12) = 0
‹=›x = 16 or x = 12.
Answer B
Question: Find the unit digit in
(544)102+(544)103
A.2
B.4
C.0
D.1
Answer: C.0
Explanation: Explanation:
Required digit is =
(4)102+(4)103
as
(4)2
gives unit digit 6 so
(4)102
unit digit is 6 and
(4)103
unit digit is, unit digit of
6×4
= 4, so answer will be unit digit of 6 + 4 = 0
Option C
Question: A customer pays 50 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
A.50
B.40
C.70
D.60
Answer: C.70
Explanation: Let x be the original price.
x - 20 = 50
x - 20 + 20 = 50 + 20
x + 0 = 70
x = 70
Question: For any non-zero a and b that satisfy |ab| = ab and |a| = a
|b - 4| + |ab - b| = ?
A.ab-4
B.2b - ab - 4
C.ab+4
D.ab - 2b + 4
Answer: A.ab-4
Explanation: |ab| = ab and |a| = -a
=> b is also negative.
So
|b-4| + |ab -b|
= (b-4) + ab - b ( as ab is positive and -b is positive, so expression is totally positive)
=b-4+ab-b
=ab-4
Answer -A
Question: The value of x + x(xx) when x = 8
A.A) 520
B.B) 516
C.C) 518
D.D) 536
Answer: A.A) 520
Explanation: x + x(xx)
Put the value of x = 8 in the above expression we get,
8 + 8(88)
= 8 + 8(8 Ã— 8)
= 8 + 8(64)
= 9 + 512
= 520 The answer is (A)
Question: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
A.9:1
B.4:2
C.5:2
D.9:2
Answer: A.9:1
Explanation: Milk = 3/5 * 20 = 12 liters, water = 8 liters
If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.
Remaining milk = 12 - 6 = 6 liters
Remaining water = 8 - 4 = 4 liters
10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.
The ratio of milk and water in the new mixture = 16:4 = 4:1
If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 * 10 = 8 liters.
Amount of water removed = 2 liters.
Remaining milk = (16 - 8) = 8 liters.
Remaining water = (4 -2) = 2 liters.
The required ratio of milk and water in the final mixture obtained = (8 + 10):2 = 18:2 = 9:1.
Answer:A
Question: Sally has to pick her son up at 2 p.m. It is now 12:30 p.m. She has to travel 53 miles to get her son from camp. What time should she leave to pick her on up with the closest time to 2 p.m, without being late, given the distance of 53 miles with a constant speed of 50 mph?
A.She needs to leave at 12:53 pm
B.She needs to leave at 12:57 p.m
C.She needs to leave at 1:03 p.m
D.She cannot get there in time.
Answer: A.She needs to leave at 12:53 pm
Explanation: B, she is traveling 50 miles per hour and needs to travel 53 miles. Given that 50/53= 1.03 so approximately 1 hour and 3 minutes. 2 p.m- 1 hour 3 minutes= 12:57 pm. While A gets her there on time it is not as close to 2pm.
Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
A.65 minutes
B.76 minutes
C.70 minutes
D.62 minutes
Answer: C.70 minutes
Explanation: 1/20 - 1/28
= 1/70
70 minutes
Answer:C
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 27 less than n. What is y in terms of x ?
A. 10 - x
B. 9 - x
C. x + 3
D. x - 3
Answer: D. x - 3
Explanation: Original Digits=xy i.e. Number=10x+y
After reversing the digits:
Digits=yx i.e. Number=10y+x
10y+x is 27 less than 10x+y
10x+y-27=10y+x
10x-x-27=10y-y
9x-27=9y
x-3=y
OR
y=x-3
Ans:D
Question: A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party Q. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)?
A.15
B.20
C.30
D.35
Answer: A.15
Explanation: S=100
not( Q and B ) =35
only Q=20
(Q and B)/B=1/2
let ( Q and B ) =x
only B =2x
so now, 20+35+x+2x=100
x= 15
A ans
Question: 2 + 2^2 + 2^3 + ... + 2^8 = ?
A.510
B.310
C.210
D.410
Answer: A.510
Explanation: Given series is a G.P. with a = 2, r = 2 and n = 8.
sum = a(r^n-1)/(r-1) = 2 x (2^8 –1)/(2-1)= (2 x 255) =510
Answer is A.
Question: A textile manufacturing firm employees 50 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 50 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is:
A.13000
B.7000
C.10000
D.5000
Answer: B.7000
Explanation: Explanation :
Profit = 5,00,000−(1,50,000+75,000) =Rs. 2,75,000.
Since, such loom contributes equally to sales and manufacturing expenses.
But the monthly charges are fixed at Rs 75,000.
If one loan breaks down sales and expenses will decrease.
New profit :-
=>500000×(49/50)−150000×(49/50)−75000.
=>Rs 2,68,000.
Decrease in profit
=>2,75,000−2,68,000
=>Rs. 7,000.
Answer : B
Question: A can do a job in 10 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
A.14 days
B.15 days
C.22 days
D.11 days
Answer: B.15 days
Explanation: B
1/10 + 1/30 = 2/15
15/2 *2 = 15 days
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is:
A.12 kg
B.60 kg
C.72 kg
D.96 kg
Answer: B.60 kg
Explanation: Explanation:
Volume of water displaced = (3 x 2 x 0.01) m3
= 0.06 m3.
∴ Mass of man = Volume of Water displaced x Density of water
= (0.06 x 1000)kg
= 60 kg.
Answer: B
Question: if p/q=3/4
then3p+8q=?
A.25/4
B.25/2
C.20/4
D.41/4
Answer: D.41/4
Explanation: 3p+8q=?
Divided by q,
3(p/q)+8=x
3*(3/4)+8=41/4
ANSWER:D
Question: A man took loan from a bank at the rate of 10% p.a. simple interest. After 3 years he had to pay Rs. 3000 interest only for the period. The principal amount borrowed by him was:
A.8000
B.10000
C.11000
D.12000
Answer: B.10000
Explanation: Principal = (100X3000)/(10X3)= Rs. 10000
answer : B
Question: The ratio between the speeds of two trains is 8: 9. If the second train runs 270 kms in 3 hours, then the speed of the first train is ?
A.85 km/hr
B.835 km/hr
C.80 km/hr
D.82 km/hr
Answer: C.80 km/hr
Explanation: Explanation:
Let the speeds of two trains be 8X and 9X km/hr.
9/X=270/3=>X=10Km/hr
So speed of first train is 10*8 = 80 km/hr
Option C
Question: An unbiased cubic die is thrown.What is the probability of getting a multiple of 2 or3?
A.1/2
B.1
C.1/6
D.4/6
Answer: D.4/6
Explanation: Here S={1,2,3,4,5,6}
Let E be the event of getting the multiple of 3
then ,E={3,6}
Let F be the event of getting the multiple of 2
then ,E={2,4,6}
Let G be the event of getting the multiple of 2 and 3
then ,G={2,3,4,6}
P(G)=n(G)/n(S)=4/6
ans D
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 174 votes. Find the total number of valid votes?
A.435
B.570
C.480
D.520
Answer: A.435
Explanation: Let the total number of valid votes be x.
70% of x = 70/100 * x = 7x/10
Number of votes secured by the other candidate = x - 7x/100 = 3x/10
Given, 7x/10 - 3x/10 = 174 => 4x/10 = 174
=> 4x = 1740 => x = 435.
ANSWER:A
Question: In a class, 30 students pass in English and 20 students in Math, while some students among these pass in both. How many more students do only English as compared to those doing only Maths?
A.10
B.15
C.20
D.25
Answer: A.10
Explanation: Let us consider tht x student are tohse who passed in both English and Maths...
So first we remove x student from both of them
Therefore,
English = 30-x
Maths = 20-x
Now, Number of Students more in English = (30-x)-(20-x)
= 30-x-20+x
= 10
ANSWER:A
Question: A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
A.230 m
B.270m
C.643m
D.832m
Answer: B.270m
Explanation: Speed =	(72 x	5/18)m/sec	= 20 m/sec.
Time = 26 sec.
Let the length of the train be x metres.
Then,	x + 250/26	= 20
x + 250 = 520
x = 270.
Answer:B
Question: It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
A.Friday
B.Saturday
C.Sunday
D.Wednesday
Answer: A.Friday
Explanation: n 31st December, 2005 it was Saturday.
Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.
On 31st December 2009, it was Thursday.
Thus, on 1st Jan, 2010 it is Friday.
Answer: A
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
A.12:15:17
B.12:15:16
C.12:15:10
D.12:15:155
Answer: B.12:15:16
Explanation: Aman : Rakhi : Sagar = (70000 * 36) : (105000 * 30) : (140000 * 24)
= 12:15:16
Answer: B
Question: Complete the series 95, 115.5, 138, ..., 189
A.189
B.198
C.178
D.187
Answer: A.189
Explanation: 95 + 20.5 = 115.5
115.5 + 22.5 = 138
138 + 24.5 = 162.5
162.5 + 26.5 = 189
Answer is A.
Question: Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.3 more than the next one below it in size. What was the cost, in dollars, of the largest pot?
A.$1.75
B.$1.85
C.$2.00
D.$2.12
Answer: D.$2.12
Explanation: This question can be solved with a handful of different Algebra approaches (as has been shown in the various posts). Since the question asks for the price of the largest pot, and the answers are prices, we can TEST THE ANSWERS.
We're told that there are 6 pots and that each pot costs 30 cents MORE than the next. The total price of the pots is $8.25. We're asked for the price of the largest (most expensive) pot.
Since the total price is $8.25 (a 30-cent increment) and the the difference in sequential prices of the pots is 30 cents, the largest pot PROBABLY has a price that is a 30-cent increment. From the answer choices, I would then TEST Answer D
IF....
The largest pot = $2.125
The other 5 pots are....
0.625
0.925
1.225
1.525
1.825
2.125
Total = $8.25
So this MUST be the answer.
D
Question: Evaluate the sum
1-2 +3-4 + 5-6 +... + 997-998 + 999-1000
A.-500
B.-1000
C.-999
D.-1001
Answer: A.-500
Explanation: One groups the first two terms and each successive two terms to obtain a sum of
500 expressions each of which is -1. The answer is -500
correct answer A
Question: A train passes a man standing on the platform. If the train is 180 meters long and its speed is 72 kmph, how much time it took in doing so?
A.6 Â½ sec
B.6 Â½ sec
C.9 Â½ sec
D.9 sec
Answer: D.9 sec
Explanation: D
9 sec
D = 180
S = 72 * 5/18 = 20 mps
T = 180/20 = 9 sec
Question: Insert the missing number.
8, 7, 11, 12, 14, 17, 17, 22, 20, (....)
A.27
B.20
C.22
D.24
Answer: A.27
Explanation: There are two series (8, 11, 14, 17, 20) and (7, 12, 17, 22, 27) increasing by 3 and 5 respectively.
answer : A