RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's age is
A.23 years
B.34 years
C.45 years
D.54 years
Answer: C.45 years
Explanation: Explanation:
Let x and y be the ten's and unit's digits respectively of the numeral denoting the woman's age.
Then, woman's age = (10X + y) years; husband's age = (10y + x) years.
Therefore (10y + x)- (10X + y) = (1/11) (10y + x + 10x + y)
(9y-9x) = (1/11)(11y + 11x) = (x + y) 10x = 8y x = (4/5)y
Clearly, y should be a single-digit multiple of 5, which is 5.
So, x = 4, y = 5.
Hence, woman's age = 10x + y = 45 years.
Answer: C
Question: Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
A.8
B.2
C.4
D.6
Answer: B.2
Explanation: 1250 = D(100/4)2
D = 2
Answer: B
Question: When a boat moves at an average speed of 25 kmph it reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes early. Find the length of journey rounded to two decimal places.
A.18.67 km
B.24.50 km
C.21.88 km
D.17.98 km
Answer: C.21.88 km
Explanation: Sol.
Difference between timings = 15 min = 1/4 hr.
Let the length of journey be x km.
Then, x/25 - x/35 = 1/4
â‡” 7x - 5x = 43.75
â‡” 2x = 43.75
â‡” x = 21.88 km.
Answer C
Question: Nicole cycles at a constant rate of 10 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 20 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
A.a) x minutes
B.b) x/2 minutes
C.c) 2x/3 minutes
D.d) 3x/2 minutes
Answer: B.b) x/2 minutes
Explanation: Speed of nicole = 20km/h or 20/60 km/min = 1/3 km/min.
Once jessica passed the nicole, the distance between the nicole and jessica will increase at the rate of (30-20) = 10km/h or 1/6 km/min
now jessica is cycling for x minutes after passing the nicole, so in those x minutes distance between jessica and nicole would be (1/6)*x = x/6 km.
So, the time taken by nicole to travel x/6 km = (x/6)/(1/3) = x/2. hence answer should be
B
Question: A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :
A.285
B.290
C.297
D.305
Answer: A.285
Explanation: Explanation:
Since the month begins with a Sunday, so there will be five Sundays in the month,
Required average = (510 * 5 + 240 * 25) / 30 = 8550/30 = 285. Answer: A
Question: Two employees A and B are paid a total of Rs. 550 per week by their employer. If A is paid 120 percent of the sum paid to B, how much is B paid per week?
A.A)Rs.180
B.B)Rs.200
C.C)Rs.250
D.D)Rs.280
Answer: C.C)Rs.250
Explanation: Let the amount paid to A per week = x
and the amount paid to B per week = y
Then x + y = 550
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 550
⇒ y[12/10 + 1] = 550
⇒ 22y/10 = 550
⇒ 22y = 5500
⇒ y = 5500/22 = 500/2 = Rs.250
Option 'C'
Question: The price of petrol increased by 25% and so a person reduced his consumption by 25%. What percentage is the rise or fall in the expenditure incurred by him on petrol ?
A.6.25%
B.6.50%
C.6.76%
D.6.80%
Answer: A.6.25%
Explanation: Assume he consumes 100 liters of petrol,and petrol costs him Rs.100/-
His total expenditure = Rs.10000/-
Now price got increased by 25%. If a value got increased by 25% then the new value is 125% of the previous value. so 125%(100) = Rs.125
But he reduced his consumption by 25%, so his new consumption is 75%(100) = 75
His total expenditure = 125 x 75 = Rs.9375
Percentage change in the expenditures = 10000−9375/10000×100=6.25%
Answer A
Question: A bicycle marked at Rs. 2,000, is sold with two successive discount of 20% and 10%.An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is:
A.Rs. 1,368
B.Rs. 1,468
C.Rs. 1,568
D.Rs. 1,668
Answer: A.Rs. 1,368
Explanation: Solution: Marked Price = 2000.
SP after first Discount of 20% = 2000 - 20% of 2000 = 1600.
SP after second Discount of 10% = 1600 - 10% of 1600 = 1440.
Now, the final selling price at cash = 1440 - 5% of 1440 = Rs. 1368.
Short-Cut by using Graphic Change
2000(MP)==20%(disc.)==>1600==10%(disc.)==>1440==5%(disc.)==>1368(SP).
Answer: Option A
Question: An investor receives a total combined return of 6% on his two different investments. On his $10,000 investment he receives a return of 5%. What is the return on his $20,000 investment?
A.7.25%
B.6.5%
C.8%
D.8.5%
Answer: B.6.5%
Explanation: 0.05 * 10000 + 20000x = 0.06(30000)
solving for x give x = 6.5%
option B
Question: The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
A.1278
B.2400
C.2771
D.1271
Answer: B.2400
Explanation: Let the price of a saree and a shirt be Rs. x and Rs. y respectively.
Then, 2x + 4y = 1600 .... (i)
and x + 6y = 1600 .... (ii)
Simplification mcq solution image
Solving (i) and (ii) we get x = 400, y = 200.
∴ Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.
Answer: B
Question: The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 150. What is the manager's monthly salary ?
A.Rs.6003
B.Rs.6029
C.Rs.4650
D.Rs.6108
Answer: C.Rs.4650
Explanation: Explanation:
Manager's monthly salary Rs. (1650 * 21 - 1500 * 20) = Rs.4650.
Answer: C
Question: If a company allocates 25 percent of its budget to advertising, 5 percent to capital improvements, and 20 percent to salaries, what fraction of its budget remains for other allocations?
A.1/5
B.1/4
C.1/3
D.1/2
Answer: D.1/2
Explanation: 100%-(25%+5%+20%)=50% remains for other allocations --> 50% = 50/100 = 1/2.
Answer: D.
Question: A group of n students can be divided into equal groups of 4 with 2 student left over or equal groups of 5 with 2 students left over. What is the sum of the two smallest possible values of n?
A.33
B.46
C.49
D.53
Answer: C.49
Explanation: 4x+2 = 5y+2...........ie: 4x-5y = 0
x,y must be >1 and y is even ie ( 2,4,6,..etc)
if y = 2 thus x is fraction
if y = 4 thus x =5 n =22
if y = 6 thus x = not possible fraction
if y =8 thus x = 10 n =42
summation 22+42 = 64
C
Question: What will be the day of the week on 1st January, 2010 ?
A.Friday
B.Saturday
C.Sunday
D.Monday
Answer: C.Sunday
Explanation: 2000 years have 2 odd days.
= 11 odd days = 4 odd days.
1st January, 2010 has 1 odd day. Total number of odd days = (2 + 4 + 1) = 7 = 0.
∴ 1st January, 2010 will be Sunday.
Answer C
Question: If y is an integer, then the least possible value of |39 - 6y| is
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: We know that 6y is a multiple of 6, so let’s first look at the multiples of 6 closest to 39. We have “36” and “42”. Let’s subtract both of these from 39 and see which one produces the smallest result. When 6y = 36, y is 6 and when 6y = 42, y is 7. Let’s start with letting y = 6.
|39-6(6)|
|39-36|
|3| = 3
Next, let’s let y equal 5.
|39-6(7)|
|39-42|
|-3| = 3
We see that the smallest possible value of |39-6y| is 3.
Answer D.
Question: John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 50 cents. If the average price of the 12 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?
A.4
B.5
C.6
D.7
Answer: A.4
Explanation: Let number of mangoes be x, number of oranges be 12-x
0.80x +(12-x)0.50/12 = 0.65
solving for x, we get x = 6 --> Mangoes 6, Oranges 6
Now, number of oranges to be returned be y
[0.80*6 + (6-y)*0.50]/12-y = 0.72
solving for y, y = 4
Ans: A
Question: A corporation triples its annual bonus to 50 of its employees. What percent W of the employees’ new bonus is the increase?
A.50%
B.662⁄3%
C.100%
D.200%
Answer: B.662⁄3%
Explanation: W of the employees’ new bonus is the increase Hence B.
Question: Three numbers are in the ratio of 2 : 3 : 4. If the sum of the squares of the extremes is 180, then the middle number is:
A.6
B.12
C.15
D.9
Answer: D.9
Explanation: Number be = 2x,3x,4x, (2x)2 + (4x)2 =180
20x =180⇒x =9⇒x=3,
Midline number=3×3=9
Answer: D
Question: By selling an article at Rs.150, a profit of 25% is made. Find its cost price?
A.s.486
B.s.455
C.s.487
D.s.120
Answer: D.s.120
Explanation: SP = 150
CP = (SP)*[100/(100+P)]
= 150* [100/(100+25)]
= 150* [100/125]
= Rs.120
Answer: D
Question: A piece of work can finish by a certain number of men in 100 days. If however, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?
A.75
B.82
C.100
D.110
Answer: D.110
Explanation: Originally let there be x men.
Less men, more days (Indirect)
:. (x-10): x : : 100 :110 or x-10/x = 100/110
or 11x-110 = 10x or x =110
So, originally there were 110 men.
ANSWER:D
Question: 85% of a number is a dded to 24, the result is the same number. Find the number?
A.28
B.288
C.279
D.number=160
Answer: D.number=160
Explanation: (85/100) * X + 24 = X
3X = 480
X = 160
Answer:D
Question: 2,100 has how many positive divisors?
A.24
B.30
C.36
D.40
Answer: C.36
Explanation: By factorization, we can write 2100 as 2100=2^2*3*5^2*7.
The number of factors is (2+1)(1+1)(2+1)(1+1) = 36
The answer is C.
Question: How many odd, positive divisors does 740 have?
A.6
B.8
C.12
D.15
Answer: D.15
Explanation: Make a prime factorization of a number: 540=2^2*3^3*5 --> get rid of powers of 2 as they give even factors --> you'll have 3^3*5 which has (3+1)(1+1)=15 factors.
Another example: 60=2^2*3*5 it has (2+1)(1+1)(1+1)=12 factors out of which (1+1)(1+1)=4 are odd: 1, 3, 5 and 15 the same # of odd factors as 60/2^2=15 has.
Answer: D.
Question: Josh spends a total of $5.5 buying A items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then A may be which of the following?
A.99
B.100
C.101
D.112
Answer: C.101
Explanation: A items in the convenience store$5.5 = 550 cents
550 = 50a + 5b
=>110 = 10a + b
b = 110 - 10a = 10(11-a)
Hence b is even and multiple of 10.
Possible values of b:
b = 10,20,30,40,50,60,70,80,90,100
a = 11,9,8,7,6,5,4,3,2,1
The total (a+b) is 21,29,38,47,56,65,74,83,92,101
The only option is 101. Hence C.
Question: P and Q together can do a work in 6 days. If P alone can do it in 15 days. In how many days can Q alone do it?
A.5
B.4
C.10
D.11
Answer: C.10
Explanation: 1/6-1/15 ==>1/10
==>10
ANSWER C
Question: Set M contains number that satisfy the condition that, if integer x is in the set then x + 4 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M? I) -8 II) 4 III) 8
A.I only
B.II only
C.I and II only
D.II and III only
Answer: D.II and III only
Explanation: Since -4 is in the set, then the set must also include 0, 4, 8, 12, etc...
Depending on whether -4 is the starting element in the set or not, we can have -8...or not.
The answer is D.
Question: Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 292 runs?
A.6
B.6.5
C.7.25
D.7.5
Answer: B.6.5
Explanation: Required run rate = 262 - (3.2 x 10) =	250 = 6.5
40	40
B
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
A.2 months
B.7 months
C.8 months
D.10 months
Answer: B.7 months
Explanation: Explanation:
7 * 8 : 9 * x = 8:9 => x= 7 months
ANSWER:B
Question: If x and y are positive integers and x = 5y + 7, what is the remainder when x is divided by 5?
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: This question asks what IS...(the answer), so we know that the answer will be consistent. As such, we can TEST VALUES to quickly get the solution.
We're told that X and Y are POSITIVE INTEGERS and X = 5Y + 7. We're asked for the REMAINDER when X is divided by 5.
IF....
Y = 1
X = 12
12/5 = 2 remainder 2
Final Answer:
C
Question: If 2A = 3B = 4C , then A : B : C is ?
A.2 : 3 : 4
B.4 : 3 : 2
C.6 : 4 : 3
D.3 : 4 : 6
Answer: C.6 : 4 : 3
Explanation: Let 2A = 3B = 4C = x
Then A = x/2, B = x/3 and C = x/4
∴ A : B : C = x/2 : x/3 : x/4
Hence A : B : C = 6 : 4 : 3
Answer : C
Question: In the equation 2x â€“ cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 6 ?
A.0
B.-4
C.-3
D.4
Answer: A.0
Explanation: 2x - cy = 18
x=6, y=2;
12-2c=18
c=-3
2x-cy=18
when y=6, c=-3, x=
x=0
ANSWER:A
Question: Population is 25000. Population increases by 10% every year, then the population after 3 years is?
A.26630
B.33275
C.36625
D.26625
Answer: B.33275
Explanation: population after 1st year = 25000*10/100 = 2500 ===> 25000+2000 = 27500
population after 2nd year = 27500*10/100 = 2750 ===> 27500+2750 = 30250
population after 3rd year = 30250*10/100 = 3025 ===> 30250+3025 = 33275
ANSWER:B
Question: Which of the number is odd one out ?
A.84129
B.32418
C.47632
D.36119
Answer: C.47632
Explanation: C
47632
as 32*32 !=476
Question: In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 24, find the number?
A.1086
B.1068
C.1025
D.1021
Answer: A.1086
Explanation: A
1086
Let the three digit numbers be 100a + 10b + c
a = b + 2
c = b - 2
a + b + c = 3b = 24 => b = 8
So a = 10 and b = 6
Hence the three digit number is: 1086
Question: A and B enter into a partnership and invest Rs. 12,000 and Rs. 16,000 respectively. After 8 months, C also joins the business with a capital of Rs. 15,000. The share of C in a profit of Rs. 45,600 after two years is
A.Rs. 12,000
B.Rs. 14,400
C.Rs. 19,200
D.Rs. 21,200
Answer: A.Rs. 12,000
Explanation: For 2 years
A = (24 * 12000) = 28800
B = (24 * 16000) = 38400
C = (16 * 15000) = 24000
Profit share of C is
= (24000/91200)*45000 = 12000
ANSWER:A
Question: In a T.V. factory, an average of 63TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ?
A.35
B.33
C.48
D.50
Answer: B.33
Explanation: Production during these 5 days = Total production in a month - production in first 25 days.
= 30 x 58 - 25 x 63
= 165
âˆ´ Average for last 5 days = 165 / 5
= 33
B
Question: How many numbers from 49 to 79 are exactly divisible by 11?
A.5
B.7
C.9
D.3
Answer: D.3
Explanation: 49/11 = 4 and 79/11 = 7 ==> 7 - 4 = 3 Numbers
Answer : D
Question: X, Y, and Z are different prime numbers. The product X^2*Y^2*Z is divisible by how many different positive numbers?
A.6
B.8
C.12
D.18
Answer: D.18
Explanation: The exponents of X^2*Y^2*Z are 2, 2, and 1.
The number of factors is (2+1)(2+1)(1+1) = 18
The answer is D.
Question: Find the cost of fencing around a circular field of diameter 26 m at the rate of Rs.1.50 a meter?
A.122.55
B.132
C.156
D.158
Answer: A.122.55
Explanation: 2 * 22/7 * 13 = 81.7
81.7 * 1 1/2 = Rs.122.55
Answer: A
Question: Two brother X and Y appeared for an exam. Let A be the event that X is selected and B is the event that Y
is selected.
The probability of A
is 17 and that of B is 29. Find the probability that both of them are selected.
A.2/63
B.2/67
C.2
D.3/31
Answer: A.2/63
Explanation: Given, A be the event that X is selected and B is the event that Y
is selected.
P(A)=17
, P(B)=29
.
Let C
be the event that both are selected.
P(C)=P(A)×P(B)
as A and B
are independent events:
=(17)×(29)
= 2/63
Answer is A
Question: At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 135 male associates, how many female managers are there?
A.15
B.20
C.25
D.30
Answer: A.15
Explanation: Well, first let’s take care of the “totals”. The numbers in the “totals” row must add up. If 90 are females, the other 250 – 90 = 160 must be males. Similarly, the numbers in the “totals” column must add up. If 40 are managers, then the other 250 – 40 = 210 must be associates.
Now, in the “associate” row, 135 + E = 210, which means E = 75 — the other 75 associates must be female.
Now, to find B, which is what the question is asking, we need only look at the sum in the “female” column: B + 75 = 90, which means B = 15. There are fifteen female managers in this company. Thus, the answer = (A).
Question: A train 150 m long running at 72 kmph crosses a platform in 28 sec. What is the length of the platform?
A.410 m
B.354 m
C.450 m
D.350 m
Answer: A.410 m
Explanation: A
410
A = (72 * 5/18)*28-150 = 410
Question: A, B, C, D, E, F, G, and H are all integers, listed in order of increasing size. When these numbers are arranged on a number line, the distance between any two consecutive numbers is constant. If G and H are equal to 5^11 and 5^12, respectively, what is the value of A?
A.-24(5^12)
B.-23(5^12)
C.-23(5^11)
D.23(5^12)
Answer: C.-23(5^11)
Explanation: Ans : C
Assume that the numbers appear as shown below on the number line
A-----B-----C-----D-----E-----F-----G-----H
(5^12) (5^13)
As the values for G and H are given , we can calculate the difference between any two terms of the series .
Common Difference ,d = (5^13) - (5^12)
= (5^12) *[ 5-1 ]
= (5^12)*(4)
Also F + d = G as the terms are in equidistant and in increasing order.
So F + (5^12)*(4) = (5^12).
That is , F = (5^12) - (5^12)*(4)
= (5^12)[ 1-4]
= (5^12) (-3)
Similarly , E = F - d
= (5^12)[-3-4]
= (5^12)*(-7)
You can see a -4 getting added to the non-exponent part of the values . That is , according to the pattern , D SHOULD BE (5^12)*(-7-4)= (5^12)*(-11)
Following this pattern , A = (5^11)*(-23)
C
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
A.12
B.9
C.14
D.11
Answer: A.12
Explanation: Let the required number of working hours per day be x.
More pumps, Less working hours per day (Indirect Proportion)
Less days, More working hours per day (Indirect Proportion)
Pumps	4:3 :: 8 : x
Days 1:2
:.4 * 1 * x = 3 x 2 x 8
x =	(3 x 2 x 8)/(4)
x = 12.
Answer is A.
Question: Directions(11-15): Study the following arrangement of numbers, letters and symbols carefully and answer the questions given below:
B @ K I 9 D © 5 2 T $ M 4 E J # U R
1 A δ K 5 W 6 % F Q 7 H P 8 Z
How many such symbols are there in the above arrangement, each of which is immediately preceded by a letter but not immediately followed by a letter?
A.6
B.1
C.8
D.9
Answer: B.1
Explanation: Explanation:
Letter Symbol Number/Symbol
There is only one such combination: D © 5
Answer: Option B
Question: In a certain series, each term is m greater than the previous term. If the 12th term is 560 and the 9th term is 500, what is the first term?
A.140
B.240
C.340
D.540
Answer: C.340
Explanation: a + 11m = 560 (12th term)
a + 8m = 500 (9th term)
You get a = 340 and m =
Answer: C
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
A.2 : 5
B.2 : 6
C.2 : 8
D.2 : 9
Answer: A.2 : 5
Explanation: The volume of the cone = (1/3)πr2h
Only radius (r) and height (h) are varying.
Hence, (1/3)π may be ignored.
V1/V2 = r12h1/r22h2 => 1/10 = (1)2h1/(2)2h2
=> h1/h2 = 2/5
i.e. h1 : h2 = 2 : 5
Answer: Option A
Question: 1396 x 1396
A.1948816
B.1981709
C.18362619
D.2031719
Answer: A.1948816
Explanation: 1396 x 1396 = (1396)2
= (1400 - 2)2
= (1400)2 + (4)2 - (4 x 1400 x 4)
= 1948816.
Answer: Option A
Question: One package of Skittles costs $6.00. There are 5 Skittles in each package. How many Skittles are in 9 packages?
A.55
B.45
C.15
D.35
Answer: B.45
Explanation: 5*9=45.Answer is B.
Question: Winners will be announced the following day at 8 AM Pacific/1 PM Eastern Time.
If A, X, Y, and Z are unique nonzero digits in the equation:
XY
*YX
____
AYZ
And Y > X, the 2-digit number XY = ?
A.13
B.21
C.23
D.24
Answer: C.23
Explanation: The reasoning is as follows:-
B) can't be answer because Y<X
D) can't be answer because it XY x YX will give 4 digit number. Thus wrong
E) can't be answer because it XY x YX will give 4 digit number. Thus wrong
A) can't be answer because it XY x YX will give 3 digit number but the middle digit will not be equal to Y. Thus wrong
C) is the correct answer because Y>xwill give 1 digit numbermiddle digit is Y
C
Question: A batsman makes a score of 88 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?
A.19
B.29
C.40
D.49
Answer: C.40
Explanation: let the average after 17th inning =x
Then average after 16th inning=(x-3)
Therefore 16(x-3)+88=17x
Therefore x=40
ANSWER:C
Question: A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained Rs.8400. Find the cost price of the car?
A.Rs.60000
B.Rs.60228
C.Rs.62299
D.Rs.60022
Answer: A.Rs.60000
Explanation: Explanation:
Answer: A
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 22 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?
A.565
B.444
C.676
D.456
Answer: D.456
Explanation: 1h ----- 6
? ------ 60
12 h
RS = 16 + 22 = 38
T = 12
D = 38 * 12 =456
Answer: D
Question: A 100 meter long train crosses a man standing on the platform in 5 sec. What is the speed of the train?
A.72 kmph
B.108 kmph
C.176 kmph
D.134 kmph
Answer: A.72 kmph
Explanation: S = 100/5 * 18/5
= 72 kmph
Answer: A
Question: There are 200 cats in Cat-City. Out of the 200, 70 are street cats and the rest are domestic cats. 110 cats are gray, 20 out of the gray cats are NOT domestic ones. How many domestic cats are there which are not gray in Cat-City?
A.90.
B.80.
C.50.
D.40.
Answer: D.40.
Explanation: STREET-CAT DOMESTIC-Cat
70 130
(20gray+50other) 90gray+40other
Answer:D
Question: What is the remainder when 81+82+83……+815 is divided by 6
A.0
B.1
C.2
D.4
Answer: C.2
Explanation: Thus odd powers will have remainder 2 ; and even powers will have remainder 4
Now, 81+82+83……+81581+82+83……+815 will have the following powers -
Odd = 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 ( 8 odd powers ) ; Sum of remainder = 16
Even Powers = 2, 4 , 6 , 8 , 10 , 12 , 14 ( 7 even Powers ) ; Sum of remainder = 28
Total sum of remainder = 44
44/6 = Remainder 2
Hence correct answer will be (C) 2....
Question: Today is Friday. The day after 59 days will be
A.Monday
B.Tuesday
C.Saturday
D.Sunday
Answer: A.Monday
Explanation: Explanation :
59 days = 8 weeks 3 days = 3 odd days
Hence if today is Friday, After 59 days, it will be = (Friday + 3 odd days)
= Monday. Answer : Option A
Question: Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Jill paid a 5 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
A. 5.5%
B. 3.6%
C. 4.4%
D. 5.2%
Answer: A. 5.5%
Explanation: Let amount spent by Jill = 100
Clothing=50, Food=20, others=30
Tax on clothing= 2.5
Tax on others=3
Percentage= 5.5/100=5.5%
Answer: A
Question: A city had 500 migrants in the year 1998. Since then, The number of migrants in a countrythe city has doubled every 4 years. If there were 500 migrants in the country in the year 1998, What was the increase in the population of migrants during the period from 2006 to 2010?
A.2000
B.3000
C.4000
D.8000
Answer: A.2000
Explanation: The population will increase in the following order:
1998: 500
2002: 1000
2006: 2000
2010: 4000
Difference between 2006 and 2010 = 2000
Option A