RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 30 males did not bring gifts to the party, how many females did bring gifts?
A.18
B.28
C.40
D.68
Answer: C.40
Explanation: the correct method
total = 300..
70% of 300 = 210 got gifts..
90 did not get gift, out of which 30 are males, so remaining 90-30=60 are females..
But 40% females brought gift, so 60% did not get it..
so 60% = 60, 100%= 60*100/60= 100.
ans 40% of 100 =40
C
Question: In a exam there are 26 number of question. For one write question add 8 marks and for one wrong 5 marks subtract. One candidate answered all questions. His marks is 0. How many answers was correct?
A.9
B.10
C.11
D.12
Answer: B.10
Explanation: let no. of right ques be x,
then no. of wrong ques will be= 26 - x
now, according to ques
8x - (26-x)5 = 0,
hence x=10...no. of right ques is 10
ANSWER:B
Question: Five bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 seconds respectively. In 20 minutes, how many times do they toll together?
A.11
B.10
C.15
D.16
Answer: A.11
Explanation: L.C.M of 2,4,6,8,10 is 240. i.e after each 2 min they will toll together.So in 20 min they will toll 10 times.As they have initially tolled once,The answer will be 10+1=11.
ANSWER:A
Question: X, Y and Z are inner angles in a triangle. If X= Y+ Z, what can't be the size of Y?
A.30 DEGREES
B.90 DEGREES
C.60 DEGREES
D.70 DEGREES
Answer: B.90 DEGREES
Explanation: Given X= Y+ Z, and X, Y and Z are inner angles in a triangle. Thus X+ Y+ Z= 180
Y+ Z+ Y+ Z= 180 => 2(Y+ Z) = 180 => Y+ Z= 90. Thus Y will be less than 90.
Hence the answer is B.
Question: Fathers age is 5 times his son’s age. 4 years back the father was 9 times older than son.Find the fathers’ present age.
A.40 years
B.33 years
C.22 years
D.33 years
Answer: A.40 years
Explanation: Ans. 40 years
Question: A little boy is flying a kite. The string of the kite makes an angle of 30o with the ground. If the height of the kite is h = 24 m, find the length (in meters) of the string that the boy has used.
A.56
B.28
C.48
D.24
Answer: C.48
Explanation: Answer: C
Question: The angles of a triangle are in the ratio 3: 6 : 1. Find the measurement of the 3 angles of triangle.
A.108°
B.24°
C.58°
D.18°
Answer: D.18°
Explanation: If the ratio of the three angles is 3:6:1, then the measures of these angles can be written as 3x, 6x and x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence
3x + 6x + x = 180
Solve for x
10x = 180
x =18
The measures of the three angles are
3x =3 x18=54°
6x = 6 × 18= 108°
x = 1 × 18 = 18°
D
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
A.Rs.18,828.80
B.Rs.19,828.80
C.Rs.18,028.80
D.Rs.17,828.80
Answer: B.Rs.19,828.80
Explanation: Let the sum be Rs.P
P{ [ 1 + 8/100]2 - 1 } = 2828.80
P(8/100)(2 + 8/100) = 2828.80 [a2 - b2 = (a - b) ( a + b)] P = 2828.80 / (0.08)(2.08) = 1360/0.08 = 17000 Principal + Interest = Rs. 19828.80
ANSWER:B
Question: A wheel of a car of radius 21 cms is rotating at 700 RPM. What is the speed of the car in km/hr?
A.79.2 km/hr
B.55.44 km/hr
C.7.92 km/hr
D.39.6 km/hr
Answer: B.55.44 km/hr
Explanation: Explanatory Answer
The radius of the wheel measures 21 cm.
In one rotation, the wheel will cover a distance which is equal to the circumference of the wheel.
∴ in one rotation this wheel will cover 2 * π * 21 = 132 cm.
In a minute, the distance covered by the wheel = circumference of the wheel * rpm
∴ this wheel will cover a distance of 132 * 700 = 92400 cm in a minute.
In an hour, the wheel will cover a distance of 92400 * 60 = 5544000 cm.
Therefore, the speed of the car = 5544000 cm/hr = 55.44 km/hr
Choice B is the correct answer.
Question: At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
A.90%
B.88%
C.80%
D.90%
Answer: C.80%
Explanation: A B C D
90 100 80 100
A D
90 ----- 100
360 ------ ? = 400
500 ------ 400
100 ------- ? => 80%
Answer:C
Question: What will be the compound interest on a sum of Rs. 20,000 after 3 years at the rate of 12% p.a.?
A.Rs. 8098.56
B.Rs. 9720
C.Rs. 10123.20
D.Rs. 10483.20
Answer: A.Rs. 8098.56
Explanation: Amount = [20000 * (1 + 12/100)^3]
= 20000 * 28/25 * 28/25 * 28/25 = Rs. 28098.56
C.I. = (28098.56 - 20000) = Rs. 8098.56
ANSWER:A
Question: How many minutes does it take John to type y words if he types at the rate of v words per minute?
A.x/y
B.y/v
C.xy
D.60x/y
Answer: B.y/v
Explanation: time*rate=job --> time*v=y --> time=y/v.
Answer: B.
Question: What is the next number of the following sequence
1,3,4,5,6,7,8,1,9,16,25,36,49...
A.64
B.15
C.16
D.17
Answer: A.64
Explanation: (1, 3 ,4, 5, 6, 7, 8) (1, 9, 16, 25, 36, 49, x)
square of 1st group gives 2nd group
1^2 = 1
3^2 = 9
4^2 = 16
5^2 =25
6^2 =36
7^2 = 49
8^2=64
ANSWER:A
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
A.181
B.197
C.120
D.123
Answer: C.120
Explanation: Let speed of the car be x km/hr.
Then, speed of the train = 150/100 x = 3/2 x km/hr.
75/x - 75/(3/2 x) = 125/(10 * 60)
75/x - 50/x = 5/24 = 120 km/hr.
Answer:C
Question: In the xy-coordinate plane, the graph of y = -x^2 + 4 intersects line L at (p,5) and (t,-7). What is the least possible value of the slope of line L?
A.6
B.2
C.-4
D.-6
Answer: C.-4
Explanation: We need to find out the value of p and L to get to the slope.
Line L and Graph y intersect at point (p,5). hence, x= p and Y=5 should sactisfy the graph. soliving
5 = -p2 +4
p2 = 1
p = + or - 1
simillarly point (t,-7) should satisfy the equation. hence x=t and Y=-7.
-7 = -t2+9
t = +or - 4
considering p = -2 and t =4, the least slope is (-7-5)/(4-1) = -4
IMO option C is correct answer.
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
A.9268
B.9261
C.9262
D.9242
Answer: B.9261
Explanation: A = 8000(21/20)3 = 9261
Answer: B
Question: Two friends want to buy a snack. They combine their money and find they have $3.80, consisting of quarters, dimes, and nickels. If they have 34 coins and the number of quarters is half the number of nickels, how many quarters do they have?
A.7
B.8
C.9
D.10
Answer: B.8
Explanation: Let x be the number of quarters. Then 2x is the number of nickels.
(1) 25x + 10x + 10D = 380. Then 7x + 2D = 76
(2) 3x + D = 34. Then 6x + 2D = 68
Let's subtract equation (2) from equation (1).
x = 8
The answer is B.
Question: Twenty percent of the women in a college class are science majors, and the non-science majors make up 80% of the class. What percentage of the men are science majors if 40% of the class are men?
A.2%
B.5%
C.20%
D.30%
Answer: C.20%
Explanation: Science majors make up 0.2 of the class.
60% of the class are women and 0.2*0.6 = 0.12 of the class are female science majors.
Then 0.08 of the class are male science majors.
0.4x = 0.08
x = 0.2 = 20%
The answer is C.
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 630, what is the least possible value of n?
A.5
B.6
C.7
D.8
Answer: C.7
Explanation: 630 = 2*3*3*5*7, so n must be at least 7.
The answer is C.
Question: Six female friendssix male friends will be pictured in a advertising photo. If the photographer wants to line them up in one row, with menwomen alternating. How many possible arrangements may she chose?
A.1036800
B.1680
C.1152
D.576
Answer: A.1036800
Explanation: now any of the alternate 6 places can be filled by 6 male or female in 6!
similarily,
other 6 alternate places can be filled in 6!
hence required probability= 2*6!*6!= 10,36,800
hence A
Question: In the land of the famous milkman Merghese Durian, a milkman sells his buffalo for Rs. 720 at some profit. Had he sold his buffalo at Rs. 510, the quantum of the loss incurred would have been double that of the profit earned. What is the cost price ?
A.650
B.750
C.450
D.550
Answer: A.650
Explanation: Let CP be c
c-510=2(720-c)
c=650
ANSWER:A
Question: On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.40 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
A.0.027
B.0.09
C.0.417
D.0.784
Answer: D.0.784
Explanation: Probability he hears a song is like:
Tune to A and likes what he is hearing = 0.4
Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.6 * 0.4 = 0.24
Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to C and finally falls in love with the program = 0.6^2 * 0.4 = 0.144
Total = 0.784
Ans D
Question: The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
A.Rs. 1325
B.Rs. 1300
C.Rs. 1350
D.Rs. 1500
Answer: C.Rs. 1350
Explanation: time=1/2yr
r=8%
let pw=x
si=1404-x
x*1/2*8/100=1404-x.(ref problm 10 of SI ,rs aggarwal)
x=1404*25/26
hence x=1350
ANSWER:C
Question: The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 75 percent of a, and m equals b decreased by 80 percent of b, what is the value of m/x?
A.1/7
B.3/4
C.4/5
D.5/4
Answer: A.1/7
Explanation: a/b = 4/5
m/x = (1/5)*5 / (7/4)*4 = 1/7
The answer is A.
Question: The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material?
A.18
B.20
C.25
D.30
Answer: A.18
Explanation: Type 1 cost = 15
type 2 cost = 20
=>2:3
hence cost the mixture= (15*2)+(20*3) /(2+3) = 18
ANSWER A
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.37
B.38
C.22
D.90
Answer: D.90
Explanation: Let number of notes of each denomination be x.
Then, x + 5x + 10x = 480 16x = 480 x = 30.
Hence, total number of notes = 3x = 90.
Answer:D
Question: 1,2,3,2,4,6,4,8,_____
A.10
B.11
C.12
D.13
Answer: C.12
Explanation: Divide the series:
1,2,3
2,4,6
4,8,?
so it is 12
ANSWER:C
Question: The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
A.2:9
B.6:7
C.6:5
D.2:9
Answer: C.6:5
Explanation: 4:5
3:2
-------
12:15:10
12:10
6:5
Answer: C
Question: Jack and Christina are standing 240 feet apart on a level surface. Their dog, Lindy, is standing next to Christina. At the same time, they all begin moving toward each other. Jack walks in a straight line toward Christina at a constant speed of 5 feet per second and Christina walks in a straight line toward Jack at a constant speed of 3 feet per second. Lindy runs at a constant speed of 9 feet per second from Christina to Jack, back to Christina, back to Jack, and so forth. What is the total distance, in feet, that Lindy has traveled when the three meet at one place?
A.180
B.210
C.240
D.270
Answer: D.270
Explanation: The relative speed of Jack and Christina is 5 + 3 = 8 feet per second.
The distance between them is 240 feet, hence they will meet in (time) = (distance)/(relative speed) = 240/8 = 30 seconds.
For all this time Lindy was running back and forth, so it covered (distance) = (speed)*(time) = 9*30 = 270 feet.
Answer: D.
Question: If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/4, then the reciprocal of n must be
A.Less than -2
B.Between -1 and -1/2
C.Between -1/2 and 0
D.Between 0 and 1/2
Answer: A.Less than -2
Explanation: n^2 < 1/4
abs(n) < 1/2
Since n<0, then 0 > n > -1/2
1/n < -2
The answer is A.
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
A.100
B.150
C.200
D.240
Answer: C.200
Explanation: The number of ways to select two men and three women = ⁵C₂ * ⁶C₃
= (5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)
= 200
C
Question: how many 3 digit numbers can be formed with 2 consecutive same numbers .
A.160
B.171
C.180
D.256
Answer: B.171
Explanation: if you fix the 2nd and 3rd position which can be done in 10 ways and 1st position can take value from 1-9 therefore total ways comes out to b 9*10=90
plus
if you fix the 1st nd 2 position which can be done in 9 ways and 3rd position can take 10 values i.e from 0-9, that makes it 9*10=90
total=90+90=180
now minus the common part like 111,222 to 999
that is total of 9 numbers..
therefore finally 180-9=171
ANSWER:B
Question: The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is?
A.Rs. 400
B.Rs. 500
C.Rs. 600
D.Rs. 800
Answer: B.Rs. 500
Explanation: Explanation:
Let the sum be Rs. P. Then,
[P(1 + 10/100)2 - p] = 525
P[(11/10)2 - 1] = 525
P = (525 * 100) / 21 = 2500
Sum = Rs. 2500
So, S.I. = (2500 * 5 * 4)/100 = Rs. 500
ANSWER IS B
Question: Sachin is younger than Rahul by 9 years. If the ratio of their ages is 7:9, find the age of Sachin
A.31.5
B.24.5
C.24.3
D.24.9
Answer: A.31.5
Explanation: If Rahul age is x, then Sachin age is x-9,
so (x-9)/x = 7/9
=> 9x-81 = 7x
=> 2x = 81
=> x = 40.5
So Sachin age is 40.5 - 9 = 31.5
Answer: A
Question: A sum of 12,500 amounts to 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
A.2%
B.1%
C.6%
D.5%
Answer: C.6%
Explanation: C
6%
S.I. = (15500 - 12500) = 3000.
Rate = (100 x 3000)/(12500x4)% = 6%
Question: n^(n/2)=8 is true when n=8 in the same way what is the value of n if n^(n/2) =20?
A.8
B.14
C.10
D.20
Answer: D.20
Explanation: n^(n/2)=20Apply logN/2logn=log20nlogn=2log20=log20^2=log400Logn=log400Now apply antilogn=400/nNow n=20.ANSWER:D
Question: Sita has $100 in her piggy bank. How much will she have in her bank 20 weeks from now if she puts $1 in the bank next week, $2 two weeks from now, $3 three weeks from now, and continues to increase the amount that she puts in by $1 each week?
A.300
B.310
C.320
D.330
Answer: B.310
Explanation: The dollar deposits are in an A.P.
1,2,3,4...20 with common difference 1
Sum of the terms is n(n+1) / 2
i.e 20 * (20+1) /2
= 20 * 21/2 = 210
Total deposit therefore with Chiu-Lihas is 100 + 210= 310$
Question: The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A.255
B.267
C.225
D.277
Answer: C.225
Explanation: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (150 + x)/30 = 25/2 => 2(150 + x) = 750 => x = 225 m. Answer:C
Question: A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.180 m
B.240 m
C.300 m
D.360 m
Answer: A.180 m
Explanation: Speed = 54 x	5/18	m/sec = 15 m/sec.
Length of the train = (15 x 20)m = 300 m.
Let the length of the platform be x metres.
Then,	(x + 300)/32	= 15
x + 300 = 480
x = 180 m.Answer: Option A
Question: A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 25% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save?
A.20%
B.25%
C.28.5%
D.30%
Answer: B.25%
Explanation: 1st year Income= I
1st year savings= S
1st year Expense= E1
2nd year Income = 1.25I
2nd year savings= 2S (100% increase)
2nd Year expense= E2
E1+ E2= 2E1
E2=E1
That means Expenses are same during both years. With increase of 25% income the savings increased by 100%.
or S= .25I
or S= 25% of Income
B is the answer
Question: Vijay sells a cupboard at 10% below cost price. Had he got Rs.1500 more, he would have made a profit of 10%. What is the cost price of the cupboard?
A.7450
B.7500
C.7400
D.7500
Answer: B.7500
Explanation: Explanation:
Cost price = 1500/(0.10 + 0.10) = 1500/0.20
= Rs.7500
ANSWER B
Question: A fruit drink is made of orange, watermelon, and grape juice, where 25 percent of the drink is orange juice and 40 percent is watermelon juice. If the drink is made with 70 ounces of grape juice, how many ounces is the drink total?
A.125
B.160
C.200
D.250
Answer: C.200
Explanation: Let the total number of ounces in the drink be x.
% of orange = 25%
% of watermelon = 40%
% of grape = 100% - 65% = 35%
0.35x = 70
x = 200
Therefore there are a total of 200 ounces in the drink.
The answer is C.
Question: 1/3 of certain journey is covered at the rate of 25kmph,one-fourth at the rate of 30kmph and the rest at 50 kmph.Find the avg speed for the whole journey.
A.23 kmph
B.25 kmph
C.33.333 kmph
D.35 kmph
Answer: C.33.333 kmph
Explanation: Average speed = total distance / total time
LCM = 3, 4 = 12
Average speed = 12 / (1/3*12*1/25 + ¼ * 12*1/30 +5/50)
= 12/ (4/25 + 3/30+ 5/30
= 150*12/54 = 33.333 kmph
C
Question: Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 65 km more than the other. What is the distance between the two stations?
A.585 km
B.767 km
C.276 km
D.178 km
Answer: A.585 km
Explanation: Explanation:
Let us assume that trains meet after 'x' hours
Distance = speed * Time
Distance traveled by two trains = 20x km and 25x km resp.
As one train travels 65 km more than the other,
25x â€“ 20x = 65
5x = 65
x = 13 hours
As the two trains are moving towards each other, relative speed = 20 + 25 = 45 km/hr
Therefore, total distance = 45*13 = 585 km.
ANSWER: A
Question: In case T, S and X are the only individuals sewing on committee B, the members of committee C should be:
A.Z and Y
B.Z and W
C.Y and V
D.Y and U
Answer: D.Y and U
Explanation: Y and U Because in committee b the individuals are S and X so in committee c the individuals will be Y and U
ANSWER:D
Question: A can do a work in 12days. When he had worked for 3days, B joinedhim. If they complete the work in 3more days, in how manydays can Balone finish the work?
A.3 days
B.4 days
C.6 days
D.7 days
Answer: C.6 days
Explanation: sax Work done by Afar 3 days : i
J
.. Remzming war — 1
.Work done by (A + B) for 1 day :
. Work done by a for 1 day
6 days
C
Question: If below equations are true,
24 $ 6 = 64
35 $ 5 = 87
63 $ 7 = 99
Then based on similar logic what's the value of below equation
88 $ 8 = ?
A.(8+8 = 16) (88/8 = 11)
B.(8+8 = 16) (88/8 = 12)
C.(8+8 = 16) (88/8 = 13)
D.(8+8 = 16) (88/8 = 14)
Answer: A.(8+8 = 16) (88/8 = 11)
Explanation: Explanation:
The number on the right side is formed as (sum of digits of the 1st number)(number1/number2)
example,
24 $ 6 = 64 (2+4 = 6) (24/6 = 4)
35 $ 5 = 87 (3+5=8) (35/5 = 7)
63 $ 7 = 99 (6+3 =9) (63/7 =9)
Simillarly,
88 $ 8 = (8+8 = 16) (88/8 = 11)
Answer A
Question: At a supermarket, John spent 1/4 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/6 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?
A. $24
B. $80
C. $90
D. $120
Answer: A. $24
Explanation: Let's let T = total number of dollars spent at the supermarket. With this variable we can set up an equation and determine T.
We are given that John spent 1/4 of his money on fresh fruits and vegetables, or (1/4)T, 1/3 on meat products, or (1/3)T, and 1/6on bakery products, or (1/6)T. We are also given that he spent the remaining $6 on candy. Since we know where all his money was allocated, we can sum these values together and set the sum to T. So we have:
(1/4)T + (1/3)T + (1/6)T + 6 = T
To get rid of the fractions we can multiply the entire equation by 12, and we obtain:
3T + 4T + 2T + 72 = 12T
9T + 72 = 12T
72 = 3T
T = 24
John spent $24 at the supermarket.
Answer: A
Question: Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank ?
A.12 min
B.15 min
C.25 min
D.50 min
Answer: A.12 min
Explanation: Part filled by A in 1 min = 1/20
Part filled by B in 1 min = 1/30
Part filled by (A + B) in 1 min =(1/20 + 1/30) = 1/12
so Both pipes can fill the tank in 12 minutes.
ANSWER:A
Question: Two numbers are less than third number by 30% and 37% respectively. How much percent is the second number less than by the first
A.8%
B.10%
C.9%
D.11%
Answer: B.10%
Explanation: Let the third number is x.
then first number = (100-30)% of x
= 70% of x = 7x/10
Second number is (63x/100)
Difference = 7x/10 - 63x/100 = 7x/10
So required percentage is, difference is what percent of first number
(7x/100 * 10/7x * 100 )% = 10% ANSWER :B
Question: Find the unknown term 8,X,6,2,-4, -12
A.2
B.4
C.6
D.8
Answer: D.8
Explanation: 8,X,6,2,-4, -12
i guess each differ in d range of 2
8 - 8 = 0
8 - 6 = 2
6 - 2 = 4
2 - 6 = -4
-4 - 8 = -12
ANSWER:D
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
A.3.34 sq m
B.3.37 sq m
C.3.84 sq m
D.7.34 sq m
Answer: A.3.34 sq m
Explanation: Area of the path = Area of the outer circle - Area of the inner circle
= ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2
= (a - b)(a + b) }
= (3.14)(1/4)(17/4) = 53.38/16
= 3.34 sq m
Answer:A
Question: Q is a set of four distinct prime numbers. If the sum of the integers in Q is odd and the number x is a member of Q, then what is the least value that x can be?
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: 2 + 3 + 5 + 7 = 17 ( sum is ODD)
Least number = 2
A
Question: A cat leaps 5 leaps for every 4 leaps of a dog, but 2 leaps of the dog are equal to 3 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?
A.5:6
B.3:2
C.4:8
D.1:2
Answer: A.5:6
Explanation: Given;
2 dog = 3 cat;
Or, dog/cat = 3/2;
Let cat's 1 leap = 2 meter and dogs 1 leap = 3 meter.
Then, ratio of speed of cat and dog = 2*5/3*4 = 5:6.''Answer: 5:6;
Question: If a man buys 50 fish for $150 and sold them for $2.5 dollars each determine his loss.
A.$ 35
B.$ 30
C.$ 25
D.$ 20
Answer: C.$ 25
Explanation: Cost of 50 fishes = $150
Sold each fish for $2.5
So he sold 50 fishes for $(50 × 2.5) = $125
Loss = $(150 – 125) = $25
Therefore, loss = $ 25.
Answer:C
Question: A cistern 2 meters wide and 4 meters long contains water up to a depth of 1 meter 25 cm. What is the total area of the wet surface?
A.49
B.87
C.23
D.66
Answer: C.23
Explanation: Area of the wet surface = [2(lb + bh + lh) - lb]
= 2(lh + bh) + lb
= [2 (4 x 1.25 + 2 x 1.25) + 2 x 4]
= 23
The answer is C.
Question: An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
A.6 hrs 21 min
B.6 hrs 91 min
C.6 hrs 01 min
D.6 hrs 23 min
Answer: A.6 hrs 21 min
Explanation: Time taken to cover 600 km = 600/100 = 6 hrs.
Number of stoppages = 600/75 - 1 = 7
Total time of stoppages = 3 * 7 = 21 min
Hence, total time taken = 6 hrs 21 min.
Answer:A
Question: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
A.620 m
B.120 m
C.420 m
D.250 m
Answer: C.420 m
Explanation: C
420 m
Let the length of the stationary train Y be LY
Given that length of train X, LX = 300 m
Let the speed of Train X be V.
Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively.
=> 300/V = 25 ---> ( 1 )
(300 + LY) / V = 60 ---> ( 2 )
From (1) V = 300/25 = 12 m/sec.
From (2) (300 + LY)/12 = 60
=> 300 + LY = 60 (12) = 720
=> LY = 720 - 300 = 420 m
Length of the stationary train = 420 m