RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A certain manufacturer of cake, muffin, and bread mixes has 80 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
A.a. 1/10
B.b. 3/8
C.c. 1/2
D.d. 7/10
Answer: B.b. 3/8
Explanation: C+M+B-CM-MB-CB-2CMB = 80
C - cake buyers, M - muffin and B - Bread buyers. CM,MB,CB and CMB are intersecting regions.
the question asks for people who have bought only bread mixes = B-CB-MB-2CMB has to be found out.
50 + 40 + B-CB-MB-20-2CMB = 80
B-CB-MB-2CMB = 30
hence the probability = 30/80 = 3/8.
B
Question: The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
A.55
B.44
C.66
D.sixty (60)
Answer: D.sixty (60)
Explanation: H.C.F of two numbers divides their L.C.M exactly. Clearly, 8 is not a factor of 60.
Answer:D
Question: A lockbox has a 4 digit number passcode. How many different passwords are possible if repetition of numbers is allowed?
A.40
B.10000
C.1000
D.100
Answer: B.10000
Explanation: 10 x 10 x 10 x 10 = 10,000
Answer: B
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. Find the average speed for first 320 km of tour.
A.70.11 km/hr
B.71.11 km/hr
C.72.11 km/hr
D.73.11 km/hr
Answer: B.71.11 km/hr
Explanation: Explanation:
We know Time = Distance/speed
So total time taken =
(160/64+160/80)=9/2hours
Time taken for 320 Km = 320∗2/9=71.11km/hr
Option B
Question: A man saves Rs 300 at the end of each year and lends the money at 5% compound interest. How
much will it become at the end of 3 years.
A.Rs 662
B.Rs 333.01
C.Rs 663.02
D.Rs 993.03
Answer: D.Rs 993.03
Explanation: Explanation:
=[300(21/20×21/20×21/20)+300(21/20×21/20)+300(21/20)]=993.03
Answer: D
Question: The prime factorization of integer N is A x A x B x C, where A, B and C are all distinct prime integers. How many factors does N have?
A.11
B.12
C.14
D.16
Answer: B.12
Explanation: if N=ap+br+cr
then prime factor of N will be: (p+1)(q+1)(r+!)
here
p=2,q=1,r=1
(2+1)(1+1)(1+1)
3*2*2
ANSWER:B
Question: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 400 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
A.1.58%
B.1.98%
C.10%
D.15%
Answer: A.1.58%
Explanation: I think there is a typo in question.
It should have been "By weight Liquid 'X ' makes up..... "
Weight of Liquid X = 0.8 % of Weight of A + 1.8% of Weight of B
When 400gms of A and 700gms of B is mixed :
Weight of Liquid X = (0.8 * 400)/100 + (1.8* 700)/100 = 15.8gms
% of Liquid X in resultant mixture = (15.8/1000) *100 = 1.58%
A
Question: 2 cow’s and 8 goats are brought for Rs.1400. If the average price of a goat be Rs.60. What is the average price of a cow.
A.Rs. 480
B.Rs.960
C.Rs.960
D.Rs. 460
Answer: D.Rs. 460
Explanation: Explanation:
Average price of a goat = Rs.60
total price of 8 goats = 8*60 = Rs.480
But total price of 2 cows and 8 goats = Rs. 1400
Total price of 2 cows is = 1400 - 480
= 980
Average price of a cow = 980/2
= Rs. 460
Answer: Option D
Question: A courtyard is 30 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?
A.22877
B.24000
C.20000
D.27999
Answer: B.24000
Explanation: Number of bricks =Courtyard area/1 brick area
=(3000×1600/20×10)=24000
Answer: B
Question: Length of train is 130 meters and speed of train is 45 km/hour. This train can pass a bridge in 30
seconds, then find the length of the bridge.
A.230 meters
B.235 meters
C.240 meters
D.245 meters
Answer: D.245 meters
Explanation: ExplanaƟon:
Let the length of bridge is X [as always we do :)]
Speed of train is = 45*(5/18) m/sec = 25/2 m/sec
Time = 30 seconds
Total distance = 130+x
We know Speed = distance/Ɵme
so,
130+x30=252=>2(130+x)=750x=245 meters
So length of the bridge is 245 meters
Answer:D
Question: If p/7 = r/2 and r = 0.75s, what is the ratio of p to r to s?
A.2 : 3 : 4
B.8 : 12 : 9
C.21 : 6 : 8
D.6 : 4 : 3
Answer: C.21 : 6 : 8
Explanation: p/7=r/2, r=0.75s, what is p:r:s?
we get p/r=7/2 and r/s=3/4, so
7/3*3/2 and 2/2*3/4
21/6 and 6/8
C
Question: A man sells a horse for Rs.200 and loses something, if he had sold it for Rs.620, his gain would have been double the former loss. Find the cost price of the horse?
A.140
B.162
C.160
D.150
Answer: A.140
Explanation: CP = SP + 1CP = SP - g
200 + x = 620 - 2x
3x = 420 => x = 140
Answer:A
Question: (4300331)-?=2535618
A.1865113
B.1775123
C.1764713
D.1675123
Answer: C.1764713
Explanation: Let 4300331-x=2535618
then x=4300331-2535618
=1764713
Answer is C
Question: (2+0.0001)/(0.04+20)
The value of the expression above is closet to which of the following?
A.0.0001
B.0.001
C.0.1
D.1
Answer: C.0.1
Explanation: Notice that we need approximate value of the fraction.
Now, the nominator is very close to 2 and the denominator is very close to 20, hence the value of the fraction is very close to 2/20=0.1.
Answer: C.
Question: The cost price of 16 articles is the same as the selling price of 12 articles. Find the loss/profit percentages.
A.30%
B.32.50%
C.33 1/3%
D.40%
Answer: C.33 1/3%
Explanation: Explanation:
The gain is 4 out of 12 articles.
Therefore, gain percentage = 4x100/12 = 100/3 = 33 1/3%
Answer: Option C
Question: A borrowed some money at the rate of 5% p.a. for the first four years, 8% p.a.for the next 8 years and 10% p.a.for the period beyond 12 years If the total interest paid by him at the end of 14 years is 41600, how much money did he borrow?
A.40,000
B.50,000
C.62,000
D.45,000
Answer: A.40,000
Explanation: Let the sum be x. Then,
(x×4×5/100)+(x×8×8/100)+(x×2x10/100)=41600
⇒ 20x + 64x + 20x = (41600 × 100)
⇒ 104x = 4160000
⇒ x = 40000.
Answer A
Question: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 1/2 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
A.4/7
B.5/7
C.8/11
D.7/12
Answer: C.8/11
Explanation: Let x be the number of workers on the day crew.
Let y be the number of boxes loaded by each member of the day crew.
Then the number of boxes loaded by the day crew is xy.
The number of boxes loaded by the night crew is (x/2)(3y/4) = 3xy/8
The total number of boxes is xy + 3xy/8 = 11xy/8
The fraction loaded by the day crew is xy / (11xy/8) = 8/11
The answer is C.
Question: There are 10 red balls, 10 blue balls, 15 green balls and 9 black balls in a bag. What is the minimum number of balls to be taken out of the bag to assure that you have all the balls of one color?
A.10
B.23
C.43
D.41
Answer: D.41
Explanation: The worst case scenario would be if we pick 9 red balls, 9 blue balls, 14 (?) balls and 8 black balls. In this case we'll have 11+9+14+8=40 balls and still won't have all the balls of one color. The next 41rd ball we pick, no matter which color it'll be, will guarantee that we have all the balls of one color.
Answer: D.
Question: If 25% of x is 30 less than 15% of 1500, then x is?
A.872
B.738
C.837
D.780
Answer: D.780
Explanation: 25% of x = x/4 ; 15% of 1500
= 15/100 * 1500 = 225
Given that, x/4 = 225 - 30
=> x/4 = 195 => x = 780.
Answer:D
Question: How many 3 digits number are there which sum of digits is equal to 16.
A.63
B.64
C.65
D.66
Answer: D.66
Explanation: 100-200=4;
200-300=5;
---------
---------
700-800=10;
800-900=9;
900-999=8;
Total= 66
ANSWER:D
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
A.18%
B.12%
C.22%
D.24%
Answer: A.18%
Explanation: 1500 ---- 270
100 ---- ? => 18%
Answer:A
Question: Two trains running in opposite directions cross a man standing on the platform in 47 seconds and 38 seconds respectively and they cross each other in 40 seconds. The ratio of their speeds is:
A.3 : 1
B.3 : 2
C.2 : 7
D.3 : 25
Answer: C.2 : 7
Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 47 x meters, and length of the second train = 38 y meters. (47 x + 37 y) / (x + y) = 40 ==>
47 x + 38 y = 40x + 40 y ==> 7x = 2 y ==> x/y = 2/7
Answer: Option C
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 14 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
A.80%
B.105%
C.120%
D.112%
Answer: D.112%
Explanation: 0,112R = x/100*0.1R
Answer D
Question: What is the largest integer n such that
n2- 38/n + 1
is an integer?
A.36
B.38
C.72
D.76
Answer: A.36
Explanation: Doing the long division algebraically, we get a quotient of n-1 with a remainder of
-37. In order for the division to give an integer, n+1 must divide -37 evenly. So n+1 = 37,
and n = 36.
correct answer A
Question: If 135*s is a perfect square then s can be which of the following numbers?
A.15
B.35
C.54
D.105
Answer: A.15
Explanation: My solution:
For a number to be a perfect square all the prime factors must be in pairs. So,
Prime factors of 135 are 3 *3 *3 *5
1)15 = 3 * 5
2) 35 = 5 * 7
3) 54 = 2 * 3 * 3 * 3
4) 105 = 3 * 5 * 7
5) 150 = 2 * 3 * 5 * 5
So only answer choice A completes the pairing of 3, 5 . It adds a3, a5, and a7to the prime factors of 135 (3*3*3*5) and makes it a perfect square. A
Question: Solution X is 30% chemical A and 70% chemical B by volume. Solution Y is 40% chemical A and 60% chemical B by volume. If a mixture of X and Y is 36% chemical A, what percent of the mixture is Solution X?
A.30%
B.35%
C.40%
D.45%
Answer: C.40%
Explanation: The volume of the mixture be X+Y.
0.3X +0.4Y=0.36(X+Y)
X=2Y/3
X/(X+Y)=(2Y/3) / (5Y/3)=2/5=40%.
The answer is C.
Question: The chance of rain on any given day in Tel-Aviv is 50%. What is the probability Q that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
A.15/64
B.30/64
C.1/2
D.1/4
Answer: A.15/64
Explanation: chances of rain on exactly 4 days and not rain on 2 days = (1/2)^4* (1/2)^2 = 1/64
Chosing 4 days out of 6 = 6!/(4!*2!) = 15
chances of rain on exactly 4 days out of 6 days Q= 15/64
Ans A it is.
Question: Of the 15 employees of a certain company, twice as many are in the sales department as are in all of the other departments combined. What is the number of employees in the sales department?
A.10
B.20
C.30
D.40
Answer: A.10
Explanation: This is ratio problem solving question.
I will prefer to use RMV box.
R M V
Sales 2 5 10
Other 1 5 5
Total 3 5 15
Answer is 10. i.e A
Question: In how many ways can five boys, three girls and a teacher sit in a row such that all boys sit together?
A.A)10000
B.B)12100
C.C)14400
D.D)1097
Answer: C.C)14400
Explanation: Treat all boys as one unit. Now there are four students and a teacher and they can be arranged in 5! ways. Again five boys can be arranged among themselves in 5! ways.
Required number of arrangements
= 5! * 5! = 120 * 120
= 14400.
Answer:C
Question: A boatman can row 3 km against the stream in 20 minutes and return in 9 minutes. Find the rate of current ?
A.7/2 kmph
B.8/2 kmph
C.5.5 kmph
D.1/2 kmph
Answer: C.5.5 kmph
Explanation: Explanation:
Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr.
Speed in downstream = 3 x 60/9 = 20 km/hr
Rate of current = (20-9)/2 = 5.5 km/hr.
Answer: C
Question: Find the value of * in the following
(1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7)
A.3.2
B.3.4
C.3.6
D.3.8
Answer: C.3.6
Explanation: 3.6
Option 'C'
Question: A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
A.4%
B.61/4%
C.20%
D.25%
Answer: C.20%
Explanation: Let C.P. of 1 litre milk be Re. 1
Then, S.P. of 1 litre of mixture = Re. 1, Gain = 25%.
CP of 1 lr = 100/125*1 = 4/5
Ratio of milk to water = 4/5:1/5 = 4:1
=20%
ANSWER C
Question: What is the least integer that is a sum of four different primes each greater than 20?
A.79
B.83
C.120
D.133
Answer: C.120
Explanation: Given integer must be a sum of 4 primes each greater than 20. Thus each prime must be odd.
Therefore sum of Odd + Odd + Odd + Odd = Even
Only Even option is 120
Therefore Ans: C
To verify
120 = 23 + 29 +31 +37
Question: Assisants are needed to prepare for preparation. Each helper can make either 2 large cakes or 35 small cakes/hour. The kitchen is available for 3hours and 20 large cakes and 700small cakes are needed. How many helpers are required?
A.9
B.10
C.13
D.16
Answer: B.10
Explanation: 20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.
B
Question: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
A.9%loss
B.8%loss
C.3%loss
D.2%loss
Answer: A.9%loss
Explanation: (30*30)/100
= 9%loss
Answer: A
Question: If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?
A.Rs.(xy/d)
B.Rs.(yd/x)
C.Rs.(y/d)
D.Rs.(xd)
Answer: B.Rs.(yd/x)
Explanation: Cost of x metres = Rs. d.
Cost of 1 metre = Rs.	d/x
Cost of y metres = Rs.(d/x)* y= Rs.(yd/x)
Answer is B.
Question: 1370 , 1320 , 1070 , -180 ?
A.-6440
B.-6680
C.-6480
D.-5480
Answer: C.-6480
Explanation: 1370-1320=50 -->50*5=250
1320-250=1070-->250*5=1250
1070-1250=-180-->1250*5=6250
-180-6250=-6430......so ans:-6480
ANSWER:C
Question: Golu started from his house towards North. After covering a distance of 8 km. he turned towards left and covered a distance of 6 km. What is the shortest distance now from his house?
A.10 km.
B.16 km.
C.14 km
D.2 km.
Answer: A.10 km.
Explanation: C-------------B
!
!
!
!
!
A
AB=8 Km BC=6Km
AC=sqrtof(8^2+6^2)
AC=10KM
ANSWER:A
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
A.49 sec
B.50 sec
C.48 sec
D.43 sec
Answer: C.48 sec
Explanation: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 sec
Answer:C
Question: If the speed of a man is 45 km per hour, then what is the distance traveled by him in 30 seconds ?
A.275m
B.360m
C.375 m
D.420 m
Answer: C.375 m
Explanation: The distance traveled in 30 sec = 45*(5/18) *30 =375m
ANSWER:C
Question: A car travelling 5/7th of its actual speed covers 42 km in 1 hr 40 min 48 sec. what is the actual speed of the car?
A.22
B.35
C.27
D.10
Answer: B.35
Explanation: Explanation:
Let the Actual Speed = x
It is travelling with 5/7 of its actual speed = 5x/7.
Converting the time into seconds = 3600 + 2400 + 48 seconds.
Covers a distance with speed = 42/(3600 + 2400 + 48)
= 424048424048 × 3600 = 25 kph
Given 5x75x7 = 25 kph
So Actual Speed = 25 × (7/5) = 35 kph
Answer:B
Question: What is the sum of all digits for the number 10^28 - 44?
A.233
B.245
C.257
D.270
Answer: B.245
Explanation: 10^28 is a 29-digit number: 1 followed by 28 zeros.
10^28 - 44 is a 28-digit number: 26 9's and 56 at the end.
The sum of the digits is 26*9+5+6=245.
The answer is B.
Question: 8 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
A.1:2
B.1:3
C.2:1
D.2:3
Answer: A.1:2
Explanation: Explanation:
Let 1 man 1 day work = x
1 boy 1 day work = y
then 8x + 2y = 4(x+y)
=> 4x = 2y
=> x/y = 2/4
=> x:y = 1:2
Option A
Question: If y ≠ 3 and 2a/y is a prime integer greater than 2, which of the following must be true?
I. xa= y
II. y = 1
III. a and y are prime integers.
A. None
B. I only
C. II only
D. III only
Answer: A. None
Explanation: Note that we are asked which of the following MUST be true, not COULD be true. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.
So we should try to make the listed statements not true for some x and y (which satisfy y≠3 and 2x/y=prime>2).
I. a = y --> not necessarily true: a=3 and y=2 (2a/y=3=prime>2);
II. y=1 --> not necessarily true: a=3 and y=2 (2a/y=3=prime>2);
III. a and y are prime integers --> not necessarily true: a=10 and y=4 (2a/y=5=prime>2).
Answer: A.
Question: A girl sitting in a train which is travelling at 40 kmph observes that a goods train travelling in a opposite direction, takes 12 seconds to pass him. If the goods train is 1120 m long, find its speed.
A.295
B.296
C.297
D.298
Answer: B.296
Explanation: Relative speed = (1120/12)m/s = (1120/12)*(18/5) = 336 kmph
speed of goods train = 336-40 = 296 kmph
Answer is B
Question: There are 32 students in a class. Nine of those students are women. What percent are men? (round to the nearest tenth)
A.70.9%
B.71.9%
C.72.9%
D.73.9%
Answer: B.71.9%
Explanation: Total 100% 32
Men 23
Women 9
32-9=23
x/100=23/32
Multiply the opposites:
100 x 23 = 2300
Divide by the remaining number:
71.87/2300.00
32
71.9%(rounded to nearest tenth)
correct answer B
Question: There are 20 states in a certain country and every pair of them is connected by a road way. How many road ways are there?
A.22
B.277
C.288
D.266
Answer: A.22
Explanation: Answer:A
Question: At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?
A.24min
B.14min
C.74min
D.54min
Answer: A.24min
Explanation: In this type of problems the formuae is
(5*x+ or - t)*12/11
Here x is replaced by the first interval of given time. Here x is 5.
t is spaces apart
Case 1 : (5*x + t) * 12/11
(5*5 + 3) * 12/11
28 * 12/11 = 336/11= min
therefore the hands will be 3 min apart at 31 5/11 min past 5.
Case 2 : (5*x - t) * 12/11
(5*5 -3 ) * 12/11
22 *12/11 = 24 min
therefore the hands will be 3 min apart at 24 min past 5
Answer: A
Question: In how many ways can 4 black and 4 white chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
A.144
B.24
C.576
D.48
Answer: C.576
Explanation: 4 black chess pieces can be arranged in 4! ways and 4 white pieces can be arranged in 4! ways.
W_W_W_W
Number of ways = 4!*4! = 24 * 24 = 576
Answer C
Question: The average of six numbers is X and the average of three of these is Y.If the average of the remaining three is z, then
A.x = y + z
B.2x = y + z
C.x = 2y + z
D.x = y + 2z
Answer: B.2x = y + z
Explanation: Explanation:
X =((3y+3z)/6)
or
2X= y + z
Option B
Question: The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10,
respectively. Due to a dramatic increase in the surrounding temperature, the composition of the
compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the
changed compound, if the total weight is 406 lbs, how much does substance x weigh?
A.68
B.76
C.84
D.92
Answer: C.84
Explanation: x:y=4:6
if the ratio is halevd then x:y=2:6
The old ratio of x to z was 4:10. If this ratio is tripled, then the new ratio of x to z is 12:10.
x:y=2:6=12:36 ( multiplied the ration with 6/6 to have a common co eff x in both the rations x:y and x:z)
so x:y:z= 12:36:10
and we know x + y + z = 406 lbs
from the ratio of x ,y and z we have x=12k y=36k z=10K
put it in the equation we have 12k+36k+10k=406
k=7
Hence x=12(7)=84
Ans C
Question: Adam and Beth each drove from Smallville to Crown City by different routes. Adam drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Adam to complete the trip. How many miles per hour was Beth's average speed on this trip?
A.24
B.30
C.48
D.54
Answer: B.30
Explanation: Speed = Distance/Time
Distance for Adam = Speed * Time = 40 * 1/2 = 20 miles
Distance for Beth = Distance for Adam+5 = 20+5 = 25 miles
Time taken by Beth = Time taken by Adam + (1/3 hour) = 1/2+1/3 = 5/6
Speed of Beth = D/T = 25/(5/6) = 25*6/5 = 30 miles per hour
Hence, B is the answer.
Question: The number of new words that can be formed by rearranging the letters of the word 'garden' is?
A.720
B.721
C.719
D.700
Answer: C.719
Explanation: Number of words which can be formed
= 6! - 1 = 720 - 1
= 719.
Answer:C
Question: In an election, candidate Smith won 52% of the total vote in Counties A and E. He won 61% of the vote in County A. If the ratio of people who voted in County A to County E is 3:1, what percent of the vote did candidate Smith win in County E ?
A.A.25%
B.B.27%
C.C.34%
D.D.43%
Answer: A.A.25%
Explanation: (61%)*3x + (y%)*x = (52%)*4x
y = 25% of County E
hence answer is A.
Question: Find the invalid no.from the following series 15 46 63 71 75 77 78
A.32
B.35
C.46
D.49
Answer: C.46
Explanation: In this question, if you start from the beginning, firstly the difference is 31, then the difference is 17, then the difference is 8. So there is no logic. If you start backwards,you can see that firstly, 1 is added, then 2 is added, then 4 is added, then 8,16 and 32 should have been added. So you have got the right clue. So 15 + 32 the first number should be 47 and afterwards, the series becomes + 16, + 8, + 4and so on.
46
C
Question: A train traveled 580 miles in 2 hours 20 minutes. What was the averge speed of train in miles per hour?
A.270 miles / hour
B.280 miles / hour
C.290 miles / hour
D.300 miles / hour
Answer: C.290 miles / hour
Explanation: We first convert the time of 2 hours 20 minutes in minutes
2 hours 20 minutes = 2* 60 + 20= 140 minutes
Average speed S is given by distance / time. Hence
S = 580 miles / 140 minutes = 4.83 miles / minute
= 290 miles / hour
correct answer C
Question: When each of the opposite sides of a square is increasedby 8cm then ratio of sides of the rectangle thus formed is 5:3. What is the area of the original square?
A.123
B.132
C.154
D.144
Answer: D.144
Explanation: Sol. (x+8)/x = 5/3
X = 12
Required area = 12*12 = 144
D
Question: The smallest value of n, for which 2n is not a prime number, is
A.2,3,4
B.1,3,5
C.2,5,6
D.4,8,9
Answer: A.2,3,4
Explanation: (2Ã—1) = 2.
(2Ã—2) = 4.
(2Ã—3) = 6.
(2Ã—4) = 8.
which is not prime , n=2,3,4.
ANSWER:A
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
A.0
B.-1
C.1
D.2
Answer: A.0
Explanation: Explanation:
Average of 20 numbers = 0.
Sum of 20 numbers = (0 * 20) = 0.
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (- a). Answer: A
Question: In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks are made of cotton?
A.100
B.80
C.60
D.50
Answer: A.100
Explanation: 40% is white -> wht = 0.4x
Blk = 0.6 x
also 60% socks are made of cotton - > ct = 0.6x
wl = 0.4x
we know 25% of the white socks is cotton --> 1/4 (0.4x) = 0.1x = wh-ct
=> 0.3x = wh-wl
total wool is 0.4x => black wool socks = 0.4 x (total) - 0.3 x (wh-wl) = 0.1x given as 20
=> total number of socks = 200
= > total black socks = .6x = 120
total cotton black socks = 120 - 20 (bl-wl) = 100 hence A
Question: How many years will it take John’s investment to double at a simple interest rate of 4% per annum.
A.20
B.30
C.15
D.25
Answer: D.25
Explanation: P = (P*4*R)/100
100P = P*4*R
100 = 4R
Therefore R = 25
D = 25 Years
Question: A 300 meter long train crosses a platform in 33 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.250
B.266
C.230
D.288
Answer: A.250
Explanation: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 33 = 50/3
3(x + 300) = 1650 è x = 250m.
Answer: A
Question: A palindrome is a number that reads the same forward and backward, such as 242. How many odd three-digit numbers are palindromes?
A.40
B.400
C.50
D.5,000
Answer: C.50
Explanation: 3rd digit 1,3,5,7,9
2nd digit 0 through 9
i.e 10*5 = 50 numbers
first digit is going to be same as 3rd . so it would still be 50 numbers.
Answer is C.