RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18600. A's share is?
A.8876
B.2765
C.6000
D.6200
Answer: D.6200
Explanation: x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 18600 = 6200
Answer:D
Question: At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number R of different possible seating arrangements for the group?
A.5
B.10
C.24
D.32
Answer: C.24
Explanation: Circular arrangements= (n-1)!
Hence (4!) = 24=R
Answer is C
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 25% on the cost price?
A.65.97
B.62.6
C.62.1
D.62.7
Answer: A.65.97
Explanation: CP = 47.50
SP = 47.50*(125/100) = 59.375
MP*(90/100) = 59.375
MP = 65.97
Answer: A
Question: Susan, Daisy and Tim need to be seated in 3 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
A.3
B.12
C.80
D.240
Answer: A.3
Explanation: Total # of arrangement of 3 people is 3!.
In half of the cases Susan will be seated left to Tim and in half of the cases Susan will be seated right to Tim (why should one seating arrangement have more ways to occur than another?).
So, # of arrangements to satisfy the given condition is 3!/2=3.
Answer: A.
Question: Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 900 widgets?
A.1 hour and 20 minutes
B.1 hour and 24 minutes
C.1 hour and 30 minutes
D.1 hour and 36 minutes
Answer: C.1 hour and 30 minutes
Explanation: (350+250)t=900
600t=900
t=3/2
t=1 hour and 30 minutes
Answer: C
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.600 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
A.3999
B.7799
C.2500
D.7500
Answer: D.7500
Explanation: A:B:C = 2/3:1/6:1/6 = 4:1:1
x * 2/100 * 2/3 = 600
B capital = 45000*1/6 = 7500.Answer: D
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
A.22
B.27
C.30
D.82
Answer: C.30
Explanation: US = 25
DS = 35
M = (35 + 25)/2 = 30
Answer: C
Question: Look at this series: 49, 46, 51, 48, 53, 50, ... What number should come next?
A.54
B.58
C.45
D.55
Answer: D.55
Explanation: Explanation:
In this simple alternating subtraction and addition series; 3 is subtracted, then 5 is added, and so on.
Answer: Option D
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word DATA could be arranged to create a four-letter code?
A.4!/2!
B.6! − (3! + 2!)
C.6! − (3! × 2!)
D.6!/(3! + 2!)
Answer: A.4!/2!
Explanation: Number of letters in word 'DATA' = 4.
The letters 'A' appear 2 times in the word 'DATA'.
Therefore the mathematical solution for number of ways that the letters of the word DATA can be arranged to create four-letter code
= 4!/2!
Answer:A
Question: If each of 4 digit code is formed of integers from 1 to 10, inclusively, and each of the digits are different, how many possible codes are there?
A.6,040
B.6,840
C.6,240
D.5,040
Answer: D.5,040
Explanation: Code consists of 4 digits and no digit is repeated.
First digit of the code can have 10 possibilities
Second digit can have 9 possibilities
Third digit can have 8 possibilities
Total number of possible codes = 10*9*8*7 = 5040
Answer: D
Question: If * stands for /, / stands for -, + stands for * and - stands for +, then
9/15*9+2-9 = ?
A.14.7
B.15.3
C.14.1
D.16.2
Answer: A.14.7
Explanation: 9/15*9+2-9 is changed to 9-15/9*2+9
resolve it like (9)-(15*2)/9+(9)
=> 18-30/9
=>18-10/3 => (54-10)/3
=> 44/3=14.6666666666666666666
implies 14.7
ANSWER:A
Question: Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
A.Rs.1550
B.Rs.1650
C.Rs.1750
D.Rs.2000
Answer: C.Rs.1750
Explanation: C.I = 4000 * (1+10/100)2 –4000
= 4000 *11/10 + 11/10 –4000 = Rs.840
:. Sum = Rs.(420 * 100)/ (3 *8) = Rs.1750
ANSWER:C
Question: Find the compound interest on $500 in 5years at 5% per annum, the interest being compounded yearly?
A.$138.14
B.$150.12
C.$142.65
D.$152
Answer: A.$138.14
Explanation: Principle = $500
Rate = 5% yearly
Amount = 500*(1 + 5/100)^5 = 500 * 21/20 * 21/20 * 21/20 * 21/20 * 21/20
= $638.14
C.I. = 638.14-500 = $138.14
Answer is A
Question: A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent T of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
A.9%
B.11%
C.15%
D.25%
Answer: D.25%
Explanation: Cost of 12 paper towels individually = 1*12=12
Cost of a set of 12 paper towels = 9
Cost of one roll = 9/12 = 3/4 = 0.75
Savings per roll = 1-.75 = 0.25
% of savings is T = .25/ 1 *100 = 25% D is the answer.
Question: The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length of this rectangle.
A.40
B.70
C.20
D.80
Answer: C.20
Explanation: L * W = 300 : area , L is the length and W is the width.
2 L + 2 W = 70 : perimeter
L = 35 - w : solve for L
(35 - W) * W = 300 : substitute in the area equation
W = 15 and L = 20 : solve for W and find L using L = 35 - w.
correct answer C
Question: If T = 5/9 * (K - 32), and if T = 50, then what is the value of K?
A.116
B.119
C.122
D.125
Answer: C.122
Explanation: K-32=9T/5
K=9T/5 + 32
K=9(50)/5 + 32 = 122
The answer is C.
Question: What is the sum of the integers from -190 to 192 inclusive?
A.0
B.5
C.383
D.875
Answer: C.383
Explanation: sum/n= average.
sum=(average)(n)
average=a+b/2=190+192/2=1
number of items(n)=B-A+1=192-(-190)+1=192+191=383.
sum=average*n=1*383=383.
answer is C
Question: What is the units digit of (147^25)^49 ?
A.1
B.3
C.5
D.7
Answer: D.7
Explanation: The units digit of the exponents of 7 repeat in a cycle of four, which is {7,9,3,1}. The number 25 has the form 4n+1 so the units digit is 7 inside the bracket. The exponent 49 has the form 4n+1, so the units digit is 7. The answer is D.
Question: A certain cube floating in a bucket of water has between 60 and 85 percent of its volume below the surface of the water. If between 9 and 26 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
A.4
B.5
C.7
D.8
Answer: A.4
Explanation: If sides are 7, vol=7^3=343
60%= 205.8, 85%=291.55
so vol above water, between 137.2 and 51.45 -->too big
If side are 4, vol = 64
60%=38.4, 85%=54.4
vol above water between 25.6 and 9.6
So 4 should be the answer.
Check option C,
If sides are 5, vol = 125
60%= 75, .85%=106.25
vol above water between 18.75-50
(Sides are 4 cubic centimeters)
A
Question: In a kilometer race, A beats B by 80 meters or 10 seconds. What time does A take to complete the race?
A.167 sec
B.190 sec
C.176 sec
D.115 sec
Answer: D.115 sec
Explanation: Time taken by B run 1000 meters
= (1000 * 10)/80 = 125 sec.
Time taken by A = 125 - 10
= 115 sec.
Answer:D
Question: An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling 90 km. How many kms did he travel by taxi ?
A.55 kms
B.85 kms
C.65 kms
D.15 kms
Answer: A.55 kms
Explanation: Explanation:
Let x and y be the respective km's travelled by man via taxi and by his own car.
Given x + y = 90 => x = 90 - y
But according to the question,
7x + 6y = 595
7(90-y) + 6y = 595
=> 630 - 7y + 6y = 595
=> y = 630 - 595 = 35
=> x = 90 - 35 = 55
Therefore, the distance travelled by taxi is 55 kms.
Answer: A
Question: Three runners Bob, Mary and James start running around a circular track of length 15m from the same point simultaneously in the same direction at speeds of 1.5 m/s, 2.5 m/s and 4.5 m/s respectively. When will they meet for the first time after they started moving?
A.90 seconds
B.120 seconds
C.30 seconds
D.15 seconds
Answer: D.15 seconds
Explanation: If they all meet after T seconds, it means they covered the distances 1.5T, 2.5T, and 4.5T respectively.
Since they all arrive to the same spot, it means that the differences taken pairwise between the distances must be positive integer multiples of the length of the track, which is 15m. So, 1T, 2T, and 3T must all be multiples of 15. 1T multiple of 15 means T multiple of 15. The smallest T with this property is 15 and is on the list of answers.
Answer D.
Question: A man can row a boat at 24 kmph in still water. If the speed of the stream is 16 kmph, what is the time taken to row a distance of 70 km downstream?
A.7/4 hours
B.3/4 hours
C.8/13 hours
D.4/13 hours
Answer: A.7/4 hours
Explanation: Speed downstream = 24 + 16 = 40 kmph.
Time required to cover 70 km downstream = d/s = 70/40 = 7/4 hours.Answer:A
Question: Which of the following is non-negative number?
A.(a-0.9)(a-1)
B.(a+1)(a-1)
C.(a+0.9)(a+1)
D.(a-0.6)(a-0.6)
Answer: D.(a-0.6)(a-0.6)
Explanation: 5-sec approach:
D. (a-0.6)(a-0.6) = (a-0.6)^2. The square of a number is always non-negative.
Answer: D.
Question: Assume that f(1)=0 and f(m+n)=f(m)+f(n)+4(9mn-1). For all natural numbers (Integers>0)m and n. What is the value of f(17)?
A.4832
B.4855
C.4825
D.4895
Answer: A.4832
Explanation: Explanation:
f(1) = 0
f(2) = f(1+1) = f(1)+f(1)+4(9×1×1 – 1) = 0+0+4×8 = 32
f(4) = f(2+2) = f(2)+f(2)+4(9×2×2 – 1) = 32+32+4×35 = 204
f(8) = f(4+4) = f(4)+f(4)+4(9×4×4 – 1) = 204+204+4×143 = 980
f(16) = f(8+8) = f(8)+f(8)+4(9×8×8 – 1) = 980+980+4×575 = 4260
f(17) = f(1+16) = f(16)+f(1)+4(9×16×1 –1) = 4260+0+ 4×143 = 4832
Answer:A
Question: If |y + 7| = 12, what is the sum of all the possible values of y?
A.-14
B.-12
C.-8
D.8
Answer: A.-14
Explanation: There will be two cases
y+7 = 12 or y+7 = -12
=> y = 5 or y = -19
sum of both the values will be -19 + 5 = -14
Answer: A
Question: What is the probability of getting a number less than 4 when a die is rolled?
A.1/2
B.4/7
C.1/6
D.4/7
Answer: A.1/2
Explanation: Total number of outcomes possible when a die is rolled=6
Any one face out of the 6 face n(s)=6
e=getting a number less than 4={1,2,3}
Hence,n(e)=3
p(e)=n(e)/n(s)
=3/6
=1/2
Option A
Question: How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 4?
A.7
B.8
C.9
D.10
Answer: D.10
Explanation: Counting the different combinations possible is the easiest method as the options tell you that the correct number is a relatively small number.
The total cases possible are:
12
16
24
32
36
44 (not counted as we need distinct digits)
52
56
64
72
76
Edit: Total: 10
D is the correct answer.
Question: A courtyard is 25 meter long and 15 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.27778
C.18750
D.27999
Answer: C.18750
Explanation: Number of bricks =Courtyard area/1 brick area
=(2500×1500/20×10)=18750
Answer: C
Question: The cost of Type 1 rice is Rs.15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is
A.Rs.19.50
B.Rs.19
C.Rs.18
D.Rs.18.50
Answer: C.Rs.18
Explanation: Let the price of the mixed variety be Rs. x per kg. By the rule of alligation, we have :
(20-x)/(x-15) = 2/3 =› 60 - 3x = 2x - 30
=› 5x = 90 =› x = 18.
so, price of the mixture is Rs. 18 per kg.
Answer C
Question: In a race, A beats B by 15 metres and C by 29 metres. If B and C run over the course together, B wins by 15 metres. What is the length of the course?
A.225m
B.229m
C.222m
D.221m
Answer: A.225m
Explanation: Explanation:
Let X be the length of the course
according to the question,
A beats B by 15 metres and C by 29 metres
Applying this,
If A runs X metres, B runs (X-15) and C runs ( X-29) metres.
B and C together run, B runs X metres and C runs (X-15)
=> If B runs 1 metre, C runs X-15/X
=> B runs X-15 m, C runs (X-15/x) * (X-15)
APPLYING THIS,
X-29 = (X-15)(X-15) / X
Solving,
X2 -29X= X2 – 30 X + 225
X = 225
Thus, length of the course is 225 metres.
ANSWER: A
Question: Find the value of x from the equation:
x^2−7x+10=0
A.5 or 2
B.4 or 1
C.4 or 2
D.6 or 1
Answer: A.5 or 2
Explanation: Here we need to find out a and b such that a + b = -7 and ab = +10
a = -5 and b = -2 satisfies the above condition.
Hence
x
2
−
7
x
+
10
=
(
x
−
5
)
(
x
−
2
)
x2−7x+10=(x−5)(x−2)
x
2
−
7
x
+
10
=
0
⇒
(
x
−
5
)
(
x
−
2
)
=
0
x2−7x+10=0⇒(x−5)(x−2)=0
Step 3: Equate each factor to 0 and solve the equations
(
x
−
5
)
(
x
−
2
)
=
0
⇒
(
x
−
5
)
=
0
or
(
x
−
2
)
=
0
⇒
x
= 5 or 2
A
Question: If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 72 percent to salaries, what fraction of its budget remains for other allocations?
A.4/5
B.2/25
C.3/10
D.1/5
Answer: B.2/25
Explanation: 10 + 10 + 72 = 92% 100 - 92 = 8% to all others
B
Question: A person can swim in still water at 12 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 10km?
A.1
B.4
C.5
D.6
Answer: A.1
Explanation: M = 12
S = 2
US = 12 - 2 = 10
D = 10
T = 10/10 = 1 Answer:A
Question: Murali travelled from city A to city B at a speed of 20 kmph and from city B to city C at 80 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
A.kmph
B.kmph
C.kmph
D.kmph
Answer: B.kmph
Explanation: Let the distances between city A to B and B to C be 2x km and 3x km respectively.
Total time taken to cover from A to C
= (2x)/20 + (3x)/80
= (8x + 3x)/80 = 11x/80
= (2x + 3x)/(11x/80) = 36.4 kmph.
Answer: B
Question: If log 27 = 1.431, then the value of log 9 is:
A.0.954
B.2.35
C.3.68
D.9.87
Answer: A.0.954
Explanation: Explanation:
log 27 = 1.431
log (33 ) = 1.431
3 log 3 = 1.431
log 3 = 0.477
log 9 = log(32 ) = 2 log 3 = (2 x 0.477) = 0.954.
answer A
Question: By selling 50 meters of cloth. I gain the selling price of 16 meters. Find the gain percent?
A.44 1/17%
B.42 5/8%
C.42 6/4%
D.42 6/8%
Answer: A.44 1/17%
Explanation: SP = CP + g
50 SP = 50 CP + 16 SP
34 SP = 50 CP
34 --- 16 CP gain
100 --- ? => 47 1/17%
Answer: A
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
A.13 1/7 days
B.13 1/3 days
C.13 1/8 days
D.13 8/3 days
Answer: B.13 1/3 days
Explanation: 5/30 + 20/x = 1
x = 24
1/30 + 1/24 = 3/40
40/3 = 13 1/3 days
Answer:B
Question: Vicky's salary is 75% more than Ashu's. Vicky got a raise of 40% on his salary while Ashu got a raise of 25% on his salary. By what percent is Vicky's salary more than Ashu's?
A.96%
B.51.1%
C.90%
D.52.1%
Answer: A.96%
Explanation: Solution: Let Ashu's salary = 100; Ashu's salary after rise = 125.
Then Vicky's salary = 175.
Vicky's salary after rise of 40% = 245.
[As 10% of Vicky's salary is 17.5 then 40% = 17.5*4 = 70] .
Difference between Vicky's salary and Ashu's salary = 245-125 = 120; .
% more Vicky's salary than Ashu's = 120*100/125 = 96%.
Answer: Option A
Question: 25% of all students in a class commute by public transportation. If 10% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists?
I.	10%
II.	70%
III.	90%
A.I ONLY
B.II ONLY
C.III ONLY
D.I AND II
Answer: B.II ONLY
Explanation: 25% Students use public transportation. This means 75% students do not use public transportation. 10% students aspire to be scientists means even if all these students use public transportation, minimum 75% - 10% = 65% students do not use public transportation and do not aspire to be scientists.This means correct answer is between 65% and 75%
Answer : B.
Question: If the average marks of three batches of 50, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is
A.53.33
B.54.83
C.55
D.57
Answer: B.54.83
Explanation: Sol.
Required average = [50x50 + 60x55 + 45x60 / 50 + 60 + 45]
= [2500 + 3300 + 2700 / 155]
= 8500 / 155 = 54.83.
Answer B
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?
A.29
B.44
C.54
D.99
Answer: B.44
Explanation: D = 540 + 120= 660
S = 54 * 5/18 = 15 mps
T = 660/15 = 44 sec
Answer: B
Question: How many consonants are present between the first and second vowel in the sequence of English alphabet ?
A.3
B.13
C.11
D.10
Answer: A.3
Explanation: Explanation:
Ref : A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The first and second vowels are A and E respectively. There are 3 letters between A and E; there are no vowels in between. Thus, there are 3 consonants between A and E.
ANSWER A
Question: If q > a and L < a, which of the following cannot be true?
A. d + L = 14
B. d - L = 7
C. d - L = 1
D. a - q = 9
Answer: D. a - q = 9
Explanation: Is the answer D?
If q>a, then q-a>0 (always positive). The converse would be a-q<0 (always negative). Option D states that a-q=9, which can never be true.
Question: Which of the following best approximates the percent by which the distance from A to C along a diagonal of square ABCD reduces the distance from A to C around the edge of square ABCD?
A.30%
B.43%
C.45%
D.50%
Answer: A.30%
Explanation: let the sides be 2 units.
original distance=2+2=4 units
changed distance=2sq.root2
%change=change dist.-original dist./original dist.
=(2sq.root 2-4)/4==-.2955
reduced by ~30%
Ans A
Question: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 170 cookies, what percent of the cookies did Irin bake?
A.0.125%
B.1.25%
C.12.5%
D.53.5%
Answer: D.53.5%
Explanation: 9.18x+5.17x+2.05x = 16.4x = 170 cookies
x= 170/16.4 = 10 (approx)
So, Irin baked 10*9.18 cookies or 91 cookies (approx)
% share = 91/170= 53.5 approx
Hence, answer is D.
Question: A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 6, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?
A.27
B.36
C.72
D.112
Answer: A.27
Explanation: {1}{2}{greater than 6}{divisible by 3}{3x}{x}:
The third digit can take 3 values: 7, 8, or 9.
The fourth digit can take 3 values: 3, 6, or 9.
The fifth and sixth digits can take 3 values: 31, 62, or 93.
Total = 3*3*3 = 27.
Answer: A.
Question: The population of a village is 7800. It increases annually at the rate of 18% p.a. What will be its population after 2 years?
A.10000
B.12000
C.13000
D.10860
Answer: D.10860
Explanation: Formula :
( After =100 denominator
Ago = 100 numerator)
7800 × 118/100 × 118/100 = 10860
D
Question: Find the fourth proportional to 2.7, 4.6 and 7.6?
A.12.95
B.13.95
C.15.23
D.15.95
Answer: A.12.95
Explanation: Formula = Fourth propotional = (b Ã— c)/a
A = 2.7 , B = 4.6 and C = 7.6
(4.6 Ã— 7.6)/2.7 = 12.95
A
Question: If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value Q of the product xy?
A.	-12
B.	-3
C.	0
D.	2
Answer: C.	0
Explanation: How to deal with inequalities involving absolute values? First example shows us the so callednumber case
In this case we have |y + 3| ≤ 3 which is generalized |something| ≤ some number. First we solve as if there were no absolute value brackets:
y + 3 ≤ 3
y ≤ 0
So y is 0 or negative
Second scenario - remove the absolute value brackets. Put a negative sign around the other side of the inequality,ANDflip the sign:
y + 3 >= -3
y >= -6
Therefore we have a possible range for y: -6=<y<=0
Ok, so far so good, we're half way through. What about x?
Here's the formula: 2y – 3x + 6 = 0, rewrite it as 2y + 6 = 3x.
You can say that 2y + 6 is a multiple of 3 (=3x). So all values which must be integer must also satisfy this constraint. I'm just saying that, so it's easier to evaluate all the possible numbers (-6, -3, 0). If you plug in y = 0, x will be 2 and xy = 0 as the lowest possible value Q.
Hence, Answer Choice C is the one to go.
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 400 resolutions?
A.563.2 m
B.704 m
C.287 m
D.278 m
Answer: A.563.2 m
Explanation: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 400 resolutions.
= 400 * 2 * 22/7 * 22.4 = 56320 cm
= 563.2 m
Answer:A
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
A.91.5 cm
B.23.9 cm
C.62.9 cm
D.27.8 cm
Answer: A.91.5 cm
Explanation: Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 21) + 2(21)
= 49.5 + 42
= 91.5 cm
Answer:A
Question: Find the area of a rhombus one side of which measures 20 cm and one diagonal is 25 cm.
A.700cm2
B.600cm2
C.500cm2
D.400cm2
Answer: D.400cm2
Explanation: Explanation: Let other diagonal = 2x cm.
Since diagonals of a rhombus bisect each other at right angles, we have:
(20)2 = (12)2 + (x)2 =>x =√(20)2 – (12)2= √256= 16 cm. _I
So, other diagonal = 32 cm.
Area of rhombus = (1/2) x (Product of diagonals) =(1/2× 25 x 32) cm2 = 400 cm2
Answer: Option D
Question: Find the number of square tiles to cover the floor of a room measuring 6 m * 10 m leaving 0.50 m space around the room. A side of square tile is given to be 50 cms?
A.100
B.180
C.277
D.18
Answer: B.180
Explanation: 5*9= 1/2 * 1/2 * x => x =180
Answer: B
Question: Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 195 barrels of oil?
A.2
B.3
C.4
D.18
Answer: C.4
Explanation: Well A produces 1/2 a barrel per minute.
Wells B and C produce 1/3 + 1/4 = 7/12 (a little more than half) a barrel per minute.
So all three wells combined produce a little more than 1 barrel per minute.
So for 165 barrels they will take a bit less than 195 mins which will be more than 3 hrs but less than 4 hrs.
Answer (C)
Question: A number is said to be a “digifac” if each of its digits is a factor of the number itself. What is the sum of the missing digits of the following five-digit digifac: 9, 5, 3 _ _ ?
A.5
B.7
C.9
D.10
Answer: D.10
Explanation: Solution: The number should be multiple of 5. So, the last digit is 5 or 0. But 0 cant be a factor. So, Last digit is 5. The sum of all digits should be a multiple of 9. Now the sum is 22. So, 4th digit should be 5. Therefore, required sum = 10
Option D
Question: A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent Q of the list price is the lowest possible sale price?
A.20
B.25
C.30
D.40
Answer: D.40
Explanation: Let the list price be 2x
for min sale price, the first discount given should be 50%, 2x becomes x here
now, during summer sale additional 20% off is given ie sale price becomes 0.8x
it is given lise price is $80
=> 2x = 80
=> x = 40
and 0.8x = 32
so lowest sale price is 32, which is Q =40% of 80
hence, D is the answer