RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
A.9:36
B.9:31
C.9:39
D.9:34
Answer: B.9:31
Explanation: 1/4 : 3/4 = (1:3)5 = 5:15
1/5 : 4/5 = (1:4)4 = 4:16
------
9:31
Answer: B
Question: In the recent, climate conference in New York, out of 700 men, 500 women, 800 children present inside the building premises, 20% of the men, 40% of the women and 10% of the children were Indians. Find the percentage of people who were not Indian?
A.77%
B.73%
C.79%
D.83%
Answer: C.79%
Explanation: Solution: Number of Indians men present there = 700*20/100 = 140
Indian women = 500*40/100 = 200
Indian children = 800*10/100 = 80.
Total member present in climate conference = 700+500+800 = 2000
Total Indian = 200+140+80 = 420
Hence, % of Indian present there = 420*100/2000 = 21%
% of people who were not Indian = 100-42 = 79%.
Answer C
Question: Given that x = 2^b – (8^33 + 16^5), which of the following values for b yields the lowest value for |x|?
A.97
B.98
C.99
D.100
Answer: C.99
Explanation: 8^33 + 16^5 = 2^99 + 2^20
Compared to 2^99, the value of 2^20 is negligible.
2^99 - (2^99 +2^20) will minimize the value of |x|.
The answer is C.
Question: The y intercept of a line L is 10. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6
A.I only
B.II only
C.III only
D.I and II
Answer: C.III only
Explanation: C) III only
The y-intercept is 10. Therefore we have y=mx+10
It is given that the slope is negative. Therefore the line must go from top left to bottom right.
i.e: the x-intercept has to be positive. That itself rules out III.
If you choose to go with the options directly, here's an approach.
y=mx+10. For the x-intercept, y=0.
i.e. mx+10=0.
We know that the slope m is negative. Therefore, if x=-1 or x=0, the equation mx+10 =0 would never be satisfied.
If x=6, we have 6m+10=0. A value of m=-5/3 would satisfy this equation.(ANSWER C)
Question: Mr. Jones sold two pipes at $1.20 each. based on the cost , his profit one was 20% and his loss on the other was 20%. on the sale of the pipes, he:
A.broke even
B.lost 4 cents
C.gained 4 cents
D.lost 10 cents
Answer: A.broke even
Explanation: 20%profit on $1.20=$20/100x1.20, =$0.20x1.20, = $0.24, similarly , 20 %loss on $1.20, =$20/100x1.20, =$0.20x1.20, =$0.24, therefoe, in one pipe his profit is $ 0.24 and in the other pipe his loss is $0.24. answer: broke even.correct answer will be (A)
Question: A shipping company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination. All four boxes could go on any one of the trucks, or the boxes could be split up into any groupings and given to the trucks in any combinations (ie. two to one truck, one to another, and one to another). In how many different ways could the boxes be put on the four trucks?
A.16
B.64
C.256
D.576
Answer: C.256
Explanation: Where we put one box has absolutely no bearing on where we put any of the other boxes. The placement of the four boxes is completely independent of one another. For each box, we have four choices.
N = 4*4*4*4 = 16*16 = 256
Answer = (C)
Question: The side of a rhombus is 22 m and length of one of its diagonals is 16 m. The area of the rhombus is?
A.327.9
B.325.9
C.347.7
D.357.9
Answer: A.327.9
Explanation: area of the rhombus = 1/2 * p * √4(a)2 - (p)2
a= 22 ; p = 16
A=1/2 * 16 *√4(22)2 - (16)2
=1/2 * 16 *√1936 - 256
=1/2 * 16 *√1680
A =327.9
Answer : A
Question: Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 40,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance.
What is the distance traveled by each tyre?
A.70,000
B.112,000
C.80,000
D.90,000
Answer: B.112,000
Explanation: The distance traveled by each tyre:
4/5 * 1, 40, 000km = 112,000 km. B
Question: A and B can together finish a work in 30days. They worked together for 20days and then B left. After another 20days, A finished the remaining work. In how many days A alone can finish the job?
A.20
B.30
C.60
D.50
Answer: C.60
Explanation: A+B 20days work = 20*1/30 = 2/3
Remaining work = 1-2/3 = 1/3
1/3 work is done by A in 20days
whole work will be done by A in 20*3 = 60days
Answer is C
Question: A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes. He takes a break for five minutes after every ten minutes. How many lines of codes will he complete typing after an hour?
A.450 lines
B.200 lines
C.350 lines
D.250 lines
Answer: D.250 lines
Explanation: 5-think
5-type
5-break
5-type
5-think
5-break
5-type
5-type
5-break
5-think
5-type
5-break
so 5 times for 5 minutes SE types.
Total number of lines =250 lines
ANSWER:D
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
A.2288
B.276
C.800
D.288
Answer: C.800
Explanation: 25 = E/(1000 - E) * 100
1000 - E = 4E
1000 = 5E => E = 200
1000 - 200 = 800
Answer:C
Question: A jogger running at 9 km/hr along side a railway track is 260 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A.67 sec
B.89 sec
C.38 sec
D.87 sec
Answer: C.38 sec
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 260 + 120 = 380 m.
Time taken = 380/10
=38 sec.
Answer: C
Question: Joel sailed for 3 hours at a speed of 20 miles per hour, then for 6 hours at 30 miles per hour and finally, 1 more hour at 40 miles per hour. What was the average speed of Joel during the whole sail?
.
A.25
B.27.5
C.28
D.30
Answer: C.28
Explanation: 3 hours at a speed of 20 miles per hour gives us Distance = 20*3 = 60 miles
6 hours at a speed of 30 miles per hour gives us Distance = 30*6 = 180 miles
1 more hour at 40 miles per hour gives us Distance = 40*1 = 40 miles
Total Distance = 60+180+40 = 280 miles
Total Time = 3+6+1 = 10 Hours
Average Speed = 280 / 10 = 28 Miles per hour
ANSWER:C
Question: A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.4 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
A.a. 150
B.b. 300
C.c. 600
D.d. 240
Answer: D.d. 240
Explanation: Volume Per Box: 15x12x10 = 1,800
Total Volume: 1,080,000
Number of Boxes: Total Volume / Volume Per Box = 1,080,000 / 1,800 = 600
Price Per Month: Number of Boxes * Price Per Box = 600 * 0.4 = 240
Answer: D
Question: In an encryption code 'HOUSE' is written as '1S902' when encoded and 'DASH' is written as '4G01' when encoded. How is ''SHED" written in that encryption code?
A.S109
B.0SG1
C.0124
D.G910
Answer: C.0124
Explanation: 0 = S
1 = H
2 = E
4 = D
Answer: Option C
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
A.18 sec
B.17 sec
C.14 sec
D.10 sec
Answer: D.10 sec
Explanation: A
D
RS = 60 -40 = 20 * 5/18 = 100/18
T = 50
D = 50 * 100/18 = 2500/9
RS = 60 + 40 = 100 * 5/18
T = 2500/9 * 18/500 = 10 sec
Question: Kathleen can paint a room in 2 hours, and Anthony can paint an identical room in 5 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates?
A.20/7
B.4/3
C.15/8
D.9/4
Answer: A.20/7
Explanation: (1/2 + 1/5)t=2
t=20/7
Answer: A
Question: If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 6, what is the units digit of (a+2)^2?
A.1
B.3
C.5
D.6
Answer: C.5
Explanation: If the units digit of a^2 is 9, then the units digit of a is either 3 or 7.
If the units digit of (a+1)^2 is 6, then the units digit of a+1 is either 4 or 6.
To satisfy both conditions, the units digit of a must be 3.
Then a+2 has the units digit of 5, thus the units digit of (a+2)^2 will be 5.
The answer is C.
Question: A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does
the wheel move in one hour?
A.6 metre
B.12 metre
C.120 metre
D.1200 metre
Answer: C.120 metre
Explanation: Expl : Number of times wheel moves in 1 hour = 10 * 60 = 600
:. Distance moves = (600 *20) cms = 12000 cms
In metres = 120 metre
Answer: C
Question: Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.153 per kg, the price of the third variety per kg will be
A.Rs.169.50
B.Rs.1700
C.Rs. 175.50
D.Rs. 180
Answer: C.Rs. 175.50
Explanation: Solution
Since first second varieties are mixed in equal proportions, so their average price = Rs.(126+135/2) = Rs.130.50
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.
x-153/22.50 = 1 =› x - 153 = 22.50 =› x=175.50.
Hence, price of the third variety = Rs.175.50 per kg.
Answer C
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A.276 m
B.167 m
C.245 metrs
D.167 m
Answer: C.245 metrs
Explanation: Speed = [45 X 5/18] m/sec
= [25/2] m/sec Time
= 30 sec Let the length of bridge be x metres. Then, (130 + x)/30
= 25/2 => 2(130 + x) = 750 => x
= 245 m.
Answer:C
Question: A scientist used a unique two-color code to identify each of the test subjects involved in a certain study. If the scientist found that choosing from among five colors produced enough color codes to identify all but 6 of the test subjects, how many test subjects were in the study? (Assume that the order of the colors in the codes does not matter.)
A.14
B.15
C.16
D.17
Answer: C.16
Explanation: 5C2 = 10
The number of test subjects is 10 + 6 = 16
The answer is C.
Question: n a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
A.2 hrs
B.3 hrs
C.1 hr
D.4 hrs
Answer: C.1 hr
Explanation: Let the duration of the flight be x hours. Then,
600/x - 600/(x + 1/2) = 200
x(2x + 1) = 3 2x2 + x - 3 = 0
(2x + 3)(x - 1) = 0
x = 1 hr.
ANSWER C
Question: Shepherd Gopal had a curious aptitude for mathematics and he was known around where he lived as the 'Counting Shepherd.
A man passing throughthe meadow one dat saw Gopal grazing a number of sheep and in the course of a short conversation asked him how many of the grazing sheep were his own. Gopal's reply absolutely baffled him, which was as follows:
If you divide my sheep into two different parts, the difference between yhe two numbers will be the same as the difference between their squares. Now figure it out for yourself the number of sheep I own.'
Can you say just how many sheep Gopal had?
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: A
Shepherd Gopal had one sheep only.
Question: A train 120 meters long completely crosses a 480 meters long bridge in 55 seconds. What is the speed of the train is?
A.32
B.545
C.39
D.40
Answer: C.39
Explanation: S = (120 + 480)/45 = 600/55 * 18/5 = 39
Answer: C
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
A.2.04%
B.6.12%
C.8%
D.8.25%
Answer: D.8.25%
Explanation: Per quarter, interest = 2%
So for a year, interest = 8%
Due to quarter cumulation, effective yield (YTM) would be slight higher than 8%
Answer = 8.25% =ANSWER:D
Question: What is the ratio between perimeters of two squares one having 2 times the diagonal then the other?
A.3: 8
B.3: 6
C.3: 7
D.2: 1
Answer: D.2: 1
Explanation: d = 2d d = d
a√2 = 2d a√2 = d
a = 2d/√2 a = d/√2 => 2: 1
Answer:D
Question: A train passes through a telegraph post in 9 seconds moving with a speed of 54 km per hour. The length of the train is
A.135 metres
B.145 metres
C.125 metres
D.155 metres
Answer: A.135 metres
Explanation: We know from the formula Distance = Speed x time
Thus, Distance = 54 x 5/18 x 9
or, Distance =135 meters.
ANSWER:A
Question: The total cost of 100 paper plates and 200 paper cups is $4.00 At the same rates what is the total cost of 20 of the plates and 40 of the cups?
A.$.80
B.$1.00
C.$1.20
D.$1.50
Answer: A.$.80
Explanation: U dont need to go through all this
What u have with u is
100 P + 200 C = $4.00
Just divide the equation by 5 and you will get what u are looking for
20P + 40 C = $0.80
Therefore OA is A
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
A.20002
B.20000
C.20007
D.200018
Answer: B.20000
Explanation: Let the total worth of the stock be Rs. x.
The SP of 20% of the stock = 1/5 * x * 1.1 = 11x/50
The SP of 80% of the stock = 4/5 * x * 0.95 = 19x/25 = 38x/50
Total SP = 11x/50 + 38x/50 = 49x/50
Overall loss = x - 49x/50 = x/50
x/50 = 400 => x = 20000
Answer:B
Question: A bullet train passes a station platform in 36 seconds and a man standing on the platform in 23 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform?
A.240 m
B.220 m
C.195 m
D.224 m
Answer: C.195 m
Explanation: A
195 M
Speed = 54 x 5/18 = 15 m/s
Length of the bullet train = (15 x 23)m = 345 m.
Let the length of the platform be x metres.
Then, (x + 345)/36 = 15
--> x + 345 = 540
x = 195m. C
Question: If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a × b × c < a^3
II. a + b + c > a^3
III. 5b < bc
A.I only
B.II only
C.III only
D.II and III
Answer: B.II only
Explanation: Given:
1) a is even prime. The only even prime number known is 2, so a must be equal to 2.
2) a,b,c are consecutive such that a<b<c. So, b must be 3 and c must be 4.
So, we know that a=2, b=3 and c=4.
Substituting the above values in the three equations,
I. abc<a^3
which simplifies to 24<8. False.
II. a+b+c>a^3
which simplifies to 9>8. True.
III. 5b<bc
which simplifies to 15<12. False.
The only option correct is II, so the answer is B.
Question: If X is to be chosen at random from the integers between 1 to 5, inclusive, and Y is to be chosen at random from the integers between 7 and 10, inclusive, what is the probability that X + Y will be even?
A.1/2
B.2/3
C.3/4
D.4/5
Answer: A.1/2
Explanation: X+Y will be even if X and Y are both even or both odd.
P(X and Y are both even) = 2/5*2/4 = 1/5
P(X and Y are both odd) = 3/5*2/4 = 3/10
P(X+Y is even) = 1/5 + 3/10 = 1/2
The answer is A.
Question: In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C scored 107 between them. How many runs did E score ?
A.62
B.45
C.28
D.20
Answer: D.20
Explanation: a+b+c+d+e=36*5=180
b+c=107
a=x
e=x-8
d=x-3
now 3x-11+107=180
3x=84
x=28
e's score=28-8=20
ANSWER:D
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
A.5.78
B.5.28
C.5.76
D.5.16
Answer: C.5.76
Explanation: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76
Answer:C
Question: Nicole cycles at a constant rate of 24 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 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.x/4
B.x/3
C.x/2
D.x
Answer: A.x/4
Explanation: In x minutes, Jessica travels (x/60)*30 = x/2 miles
The time it takes Nicole to travel x/2 miles is (x/2) / 24 = x/48 hours = 5x/4 minutes
Jessica needs to wait 5x/4 - x = x/4 minutes.
The answer is A.
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
A.277
B.237
C.245
D.376
Answer: C.245
Explanation: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time
= 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 =
25/2
==> 2(130 + X) = 750 ==> X
= 245 m.
Answer:C
Question: Equal weights of two alloys containing tin, copper and lead in the ratio 3:2:5 and 4:5:3 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?
A.41:81:37
B.33:91:81
C.17:28:27
D.38:37:45
Answer: D.38:37:45
Explanation: Let the weight of the two alloys be w each
Required ratio =
(3w/10 +4w/12): ( 2w/10+5w/12 ): (5w/10+3w/12)
= 38w/60 : 37w/60 : 45w/60
= 38:37:45
ANSWER:D
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
A.76 sec
B.16 sec
C.48 sec
D.17 sec
Answer: C.48 sec
Explanation: Relative speed
= 60 + 90
= 150 km/hr.
= 150 * 5/18
= 125/3 m/sec.
Distance covered
= 1.10 + 0.9
= 2 km = 2000 m.
Required time = 2000 * 3/125
= 48 sec.
Answer: C
Question: What is the leastvalue of x.So that 23X57 is divisible by 3?
A.1
B.3
C.5
D.6
Answer: A.1
Explanation: The sum of the digits of the number is divisible by 3, then the number is divisible by3.
2 + 3 + x + 5 + 7 = 17 + x
Least value of x may be 1
Therefore 17 + 1 = 18 is divisible by 3.
A
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
A.17
B.19
C.20
D.21
Answer: C.20
Explanation: C
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 = (14/70 x 100)% = 20%.
Question: if the annual rate of simple interest increases from 10% to 12.5% .Then a man’s yearly income from an investment increases by Rs.1250. His principle amount is:
A.Rs,45000
B.Rs.50,000
C.Rs. 60,000
D.Rs.65,000
Answer: B.Rs.50,000
Explanation: Let the sum be Rs.x Then, (x*25/2*1/100) – (x*10*1/100)= 1250
25x-20x = 250000 ;
x=50000
ANSWER:B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
A.33 1/7%
B.33 1/6%
C.33 1/3%
D.38 1/3%
Answer: C.33 1/3%
Explanation: 675 ---- 225
100 ---- ? => 33 1/3%
Answer:C
Question: A train 600 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
A.298 m
B.268 m
C.700 m
D.267 m
Answer: C.700 m
Explanation: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (600 + x)/60 = 65/3
x = 700 m.
Answer: C
Question: If 213 × 16 = 3408, then 0.16 × 2.13 is equal to :
A.0.3408
B.3.408
C.34.08
D.340.8
Answer: A.0.3408
Explanation: Solution
0.16 × 2.13 = (16/100x 213/100)= (16x 213/10000) = 3408/10000 = 0.3408. Answer A
Question: Which of the following is a parallelogram:-
A.130,50,130,50(angle in deg)
B.120,30,130,20(angle in deg)
C.90,90,90,90(angle in deg)
D.a & c
Answer: D.a & c
Explanation: sum of adjacent angles is 180 degrees.
so, a&c
ANSWER:D
Question: The cost of 8 pens and 4 pencils is Rs.200and the cost of 2pens and 2 pencils is Rs.48. Find the cost of each pen?
A.Rs.32
B.Rs.36
C.Rs.42
D.Rs.26
Answer: D.Rs.26
Explanation: Let the cost of each pen and pencil be 'p' and 'q' respectively.
8p + 4q = 200 --- (1)
2p + 2q = 48
4p + 4q = 96 --- (2)
(1) - (2) => 4p = 104
=> p = 26
ANSWER:D
Question: If a function f is defined by f(x)= 1/x for all non zero numbers x. If f(a) = -1/2 and f(ab) = 3/2 then b= ?
A.-3
B.1/3
C.-1/3
D.3
Answer: C.-1/3
Explanation: Given that f(x) = 1/x and f(a) = -1/2, then f(a) =1/a=-1/2 ===> a=-2, then backsolve using the answer choices:
f(ab) = f(-2b) = 1/6
A) -3 ===> f(-2*-3) = f(6) = 1/6
B) 1/3 ===> f((-2*1/3) = f(-2/3) = 1/(-2/3) = -3/2
C) -1/3 ===> f(-2*-1/3) = f(2/3) = 1/(2/3) = 3/2 WINS
D) 3 ===> f(-2*3) = f(-6) = -1/6
E) -12 ===> f(-2*-12) = f(24) = 1/-24 = -1/24
Answer: C
Question: A man took a loan from a bank at the rate of 12% p.a. simple interest.After 3 years he had to pay Rs. 5400 interest only for the period.The principal amount borrowed by him was :
A.Rs. 2000
B.Rs. 10,000
C.Rs. 15,000
D.Rs. 20,000
Answer: C.Rs. 15,000
Explanation: Solution
Principal = Rs.(100x5400/12x3)= Rs. 15000.
Answer C
Question: 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
A.2999
B.2788
C.4400
D.2999
Answer: C.4400
Explanation: X * (95/100) * (85/100) = 3553
X = 4400
Answer: C
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
A.5/7
B.5/4
C.5/1
D.5/6
Answer: D.5/6
Explanation: P(at least one graduate) = 1 - P(no graduates)
= 1 - ⁶C₃/¹⁰C₃
= 1 - (6 * 5 * 4)/(10 * 9 * 8)
= 5/6
Answer:D
Question: Photography changed drastically _________ introduced in the market.
A.when polariod
B.when polariod
C.when polariod
D.as polaroid
Answer: D.as polaroid
Explanation: Explanation:
There is no adequation information is given about details of subsequent changes. So "when" is the right word. Option a. "As" inditates reason.
Answer:D
Question: If |e|=−e, which of the following must be true?
A.x≥0
B.e≤0
C.x2>x
D.x3<0
Answer: B.e≤0
Explanation: |e| =-e means absolute value of e is equal to negative of e. Since absolute value cannot be negative hence negative of e should result in a non negative number. It means e is a non positive number i.e. e<0. Answer is B
Question: What was the day of the week on, 19th July, 1776?
A.Friday
B.Wednesday
C.Monday
D.Saturday
Answer: A.Friday
Explanation: 16th July, 1776 = (1775 years + Period from 1st Jan, 1776 to 16th July, 1776)
Counting of odd days :
1600 years have 0 odd day.
100 years have 5 odd days.
75 years = (18 leap years + 57 ordinary years) = [(18 x 2) + (57 x 1)] = 93 (13 weeks + 2 days) = 2 odd days.
1775 years have (0 + 5 + 2) odd days = 7 odd days = 0 odd day.
Jan Feb Mar Apr May Jun Jul
31 + 29 + 31 + 30 + 31 + 30 + 16 = 198 days= (28 weeks + 5 days)
Total number of odd days = (0 + 5) = 5.
Required day was 'Friday'.
Answer:A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
A.157.56
B.157.51
C.157.5
D.157.59
Answer: C.157.5
Explanation: (3500*1.5*3)/100 => 157.50.Answer: OC
Question: If it takes a tub 2 minutes to drain 5/7 of its content, how much more time will it take for the tub to be empty?
A.48 seconds
B.1 minute, 12 seconds
C.1 minute, 50 seconds
D.2 minutes, 14 seconds
Answer: A.48 seconds
Explanation: If 5/7 of tub's content is drained 2/7 th of tub still needs to be drained.
If it takes 2 minutes to drain 5/7 th of tub it takes 2*(7/5) minutes to drain the entire tub and 2*(7/5)*(2/7) min to drain 2/7 th of the tub which is 4/5 minutes or 48 minutes
So answer is A
Question: the sum of all two digit numbers divisible by 5 is
A.945
B.3487
C.28
D.279
Answer: A.945
Explanation: Required numbers are 10,15,20,25,...,95
This is an A.P. in which a=10,d=5 and l=95.
Let the number of terms in it be n.Then t=95
So a+(n-1)d=95.
10+(n-1)*5=95,then n=18.
Required sum=n/2(a+l)=18/2(10+95)=945.
Answer: A) 945
Question: A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
A.11
B.21
C.88
D.77
Answer: B.21
Explanation: 20 15 5
25 20 8
500 + 300 + 40 = 840/40 = 21
Answer: B