RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
A.1:9
B.1:4
C.1:8
D.1:1
Answer: C.1:8
Explanation: 4πr12 : 4πr22 = 1 : 4
r1 : r2 = 1 : 2
4/3 πr13 : 4/3 πr23
r13 : r23
=1:8
Answer: C
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
A.4.5
B.5.5
C.6.5
D.7.5
Answer: A.4.5
Explanation: Each 40 kilometers, 1 gallon is needed. We need to know how many 40 kilometers are there in 180 kilometers?
180 ÷ 40 = 4.5 × 1 gallon = 4.5 gallons
correct answer A
Question: A man collects cigarette stubs and makes one full cigarette with every 8 stubs. If he gets 64 stubs how many full cigarettes can he smoke
A.7
B.8
C.9
D.10
Answer: C.9
Explanation: From 64, he makes 8. From this 8 he makes one more. Total 9.
ANSWER:C
Question: A car during its journey travels 1 hour at a speed of 40 kmph, another 30 minutes at a speed of 60 kmph, and 2 hours at a speed of 60 kmph.The average speed of the car is
A.63.07 kmph
B.54.28 kmph
C.62.02 kmph
D.64.02 kmph
Answer: B.54.28 kmph
Explanation: First car travels 1 hrs at speed of 40 kmph
distance = 40 x 1 = 40 m
Then car travels 30 min at a speed of 60 kmph
distance = 30 min at speed of 60 kmph
distance = 60 x 1/2 = 30 m
at last it travels 2 hours at speed of 60 kmph
distance = 60 x 2 = 120 m
Total distance = 40 + 30 + 120 = 190
Total time= 1+ 1/2 + 2 = 3.50
Average speed of the car = 190/3.25 = 54.28
ANSWER:B
Question: If 12 men do a work in 80 days, in how many days will 16 men do it?
A.33 days
B.77 days
C.99 days
D.60 days
Answer: D.60 days
Explanation: 12 * 80 = 16 * x
x = 60 days
Answer: D
Question: A person purchased a Computer set for Rs. 16000 and a DVD Drive for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A.38%
B.74%
C.40%
D.33%
Answer: C.40%
Explanation: C
40%
The total CP = Rs. 16000 + Rs. 6250 = Rs. 22250 and SP = Rs. 31150
Profit(%) = (31150 - 22250)/22250 * 100 = 40%
Question: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
A.Rs. 14.80
B.Rs. 15.40
C.Rs. 15.60
D.Rs. 16.30
Answer: D.Rs. 16.30
Explanation: Explanation:
C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.
S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.
S.P. per kg = 819/50 = Rs. 16.38 = 16.30.
ANSWER IS D
Question: The expression (12.86 × 12.86 + 12.86 × p + 0.14 × 0.14) will be a perfect square for p equal to
A.0.28
B.0.26
C.1
D.0
Answer: A.0.28
Explanation: Explanation :
12.86 × 12.86 + 12.86 × p + 0.14 × 0.14 = (12.86)2 + 12.86 × p + (0.14)2
This can be written as (12.86 + 0.14)2 = 132, if 12.86 × p = 2 × 12.86 × 0.14
i.e., if p = 2 × 0.14 = 0.28
Hence, p = 0.28 . Answer : Option A
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
A.s.4500
B.s.5200
C.s.1800
D.s.Rs.3000
Answer: D.s.Rs.3000
Explanation: A:B:C = 5:6:4
Let the total profit = 100 - 30 = 70
5/15 * 70 = 70/3
A share = 70/3 + 30 = 160/3
B + C share = 100 - 160/3 = 140/3
A-(B+C) = 160/3 - 140/3 = 20/3
20/3 ---- 200
100 ---- ? => 3000
ANSWER:D
Question: John opened a shop investing Rs.40000. Joy joined him 4 months later, investing Rs.50000. They earned a profit of Rs.55000 after completion of one year. What will be Joy's share of profit?
A.23000
B.25000
C.24000
D.28000
Answer: B.25000
Explanation: SoL = ~s- So Joy's share = [5/11] x 55000 = 25000
Answer : B
Question: Find the largest 4 digit number which isexactly divisible by 88?
A.8765
B.9543
C.9944
D.1012
Answer: C.9944
Explanation: Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
C
Question: There were two candidates in an election. Winner candidate received 62% of votes and won the election by 336 votes. Find the number of votes casted to the winning candidate?
A.288
B.744
C.788
D.868
Answer: D.868
Explanation: W = 62% L = 38%
62% - 38% = 24%
24% -------- 336
62% -------- ? => 868
Answer: D
Question: It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
A.(216 + 1)
B.(216 - 1)
C.(7 x 223)
D.(296 + 1)
Answer: D.(296 + 1)
Explanation: Let 232 = x. Then, (232 + 1) = (x + 1).
Let (x + 1) be completely divisible by the natural number N. Then,
(296 + 1) = [(232)3] = (x3 + 1) = (x + 1)(x2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N
ANSWER:D
Question: A school having four classes only have student strength of 10, 40, 30 and 20 respectively. The pass percentages of these classes are 20%, 30%, 60% and 100% respectively. What is the pass percentage for the entire school?
A.56%
B.76%
C.52%
D.66%
Answer: C.52%
Explanation: 20% of 10+30% of 40+60% of 30+100% of 20
=2+12+18+20 =
now 52 of 100
= 52%
ANSWER:C
Question: Lottery balls numbered consecutively from one through one hundred are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 1 on it exactly once?
A.9/100
B.1/10
C.11/100
D.19/100
Answer: D.19/100
Explanation: Probability = No of balls with exactly one 1 / total number of balls
= {1,10,12 to 19, 21,31,41,51,61,71,81,91,100}/100
= 19/100
Answer is D
Question: The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 11 percent, what was the annual interest rate last year?
A.1%
B.1.1%
C.9.1%
D.10%
Answer: D.10%
Explanation: Let us suppose the interest rate last year is X, This year the interest rate is increased by 10%. Hence this year interest rate would be 1.1*X.
Setting up the equation -----> 11=1.1*x
X=10%
ANSWER:D
Question: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
A.360
B.960
C.329
D.391
Answer: A.360
Explanation: The given digits are six.
The number of four digit numbers that can be formed using six digits is 6P4
= 6 * 5 * 4 * 3
= 360.
Answer: A
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
A.9%
B.4%
C.2%
D.1%
Answer: B.4%
Explanation: 65*(90/100)*((100-x)/100) = 56.16
x = 4%
Answer: B
Question: ((-1.9)(0.6) – (2.6)(1.2))/5.0 = ?
A.-0.71
B.1.0
C.-0.852
D.1.71
Answer: C.-0.852
Explanation: Dove straight into calculation
((-1.9)(0.6) – (2.6)(1.2))/7.0 = -0.852
Answer C
Question: Three friends are buying a gift for a friend. Declan contributes 4 dollars more than 1/4 the cost of the gift, Ed contributes 1 dollar less than 1/3 the cost of the gift, and Frank contributes the remaining 17 dollars. What is the cost of the gift?
A.48
B.54
C.60
D.66
Answer: A.48
Explanation: Declan = D, Ed = E, Frank = F
t = total
D + E + F = t
(t/4 + 4) + (t/3 - 1) + 17 = t
t = 20 + (7t/12)
12t = 20(12) + 7t
5t = 5*4(12)
t = 48
The correct answer is A.
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
A.5
B.6
C.7
D.8
Answer: C.7
Explanation: 45*12 : 54*x = 2: 1
x = 5
12 -5 = 7
Answer:C
Question: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
A.7500 rupees
B.Rs.7000
C.Rs.8000
D.Rs.6500
Answer: A.7500 rupees
Explanation: P = (d * 1002) / R2
=> (48 * 100 * 100) / 8 * 8 = Rs.7500
ANSWER:A
Question: In a certain company, a third of the workers do not have a retirement plan. 30% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
A.80
B.95
C.105
D.120
Answer: D.120
Explanation: Set up equation:
x = total number of workers
120 = 0,4 * 2/3 * x + 0,7 * 1/3 * x
120 = 15/30 x
x = 240
240 - 120 = 120
Answer D
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 7 as quotient and the 15 as remainder
A.1235
B.1346
C.1590
D.1635
Answer: C.1590
Explanation: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 7x + 15
6x = 1350
x = 225
Large number = 225+1365 = 1590
C
Question: The value of 3Z + Z(ZZ)(ZZ) when Z = 5 is:
A.3150
B.3200
C.3140
D.3650
Answer: C.3140
Explanation: Solution:
3Z+ Z(ZZ)(ZZ)
Put the value of Z= 5 in the above expression we get,
15+ 5(55)(55)
= 15 + 5(5 Ã— 5)(5 Ã— 5)
= 15 + 3125
=3140
= 3140
Answer : C
Question: In the figure shown, the outer square has an area of
9 cm2, the inner square has an area of 1 cm2, and the
four rectangles are identical. What is the perimeter of
one of the four identical rectangles?
A.6 cm
B.8 cm
C.10 cm
D.9 cm
Answer: A.6 cm
Explanation: The outer square has an area of 9 cm2, so the sides of this outer
square have length 3 cm (since 3 3 = 9), and thus PN = 3 cm.
The inner square has an area of 1 cm2, so the sides of this inner
square have length 1 cm (since 1 1 = 1), and thus MR = 1 cm.
Since PN = 3 cm, then PS + SN = 3 cm and so QR + SN = 3 cm
(since QR = PS).
But QR = QM + MR, so then QM + MR + SN = 3 cm or
QM + 1 + SN = 3 cm (since MR = 1 cm).
From this last equation we get QM + SN = 2 cm.
P Q
R
S
M
N
Since each of QM and SN is the width of an identical rectangle, then QM = SN = 1 cm.
Using PS + SN = 3 cm, we get PS + 1 = 3 cm and so PS = 2 cm.
Since the rectangles are identical, then SN = PQ = 1 cm.
The perimeter of rectangle PQRS is 2 (PS + PQ) = 2x(2 + 1) = 2x3 = 6 cm.
correct answer A
Question: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
A.12,7
B.12,8
C.12,9
D.13,2
Answer: A.12,7
Explanation: x â€“ y = 5
4x â€“ 6y = 6
x = 12 y = 7
ANSWER A
Question: In a diving competition, each diver has a 45% chance of a perfect dive. The first perfect dive of the competition, but no subsequent dives, will receive a perfect score. If Janet is the third diver to dive, what is her chance of receiving a perfect score? (Assume that each diver can perform only one dive per turn.)
A.1/5
B.1/15
C.4/25
D.26/191
Answer: D.26/191
Explanation: Probability = Favourable Outcomes / Total Outcomes = 1 - (Unfavourable Outcomes / Total Outcomes)
Given:Probability of Perfect dive = 0.45 = 45/100 = 4/9
i.e. Probability of Non-Perfect dive = 0.55 = 55/100 = 5/9
The probability of Janet to dive and get a perfect score depends on that other other previous two dives must be Imperfect
Method-1:
i.e. Probability of First two being Imperfect and Third being Perfect dive = (5/9)*(5/9)*(4/9) =26/191
D
Question: Of the people who responded to a market survey, 240 preferred Brand X and the rest preferred Brand Y. If the respondents indicated a preference for Brand X over Brand Y by ratio of 6 to 1, how many people responded to the survey?
A.80
B.160
C.280
D.360
Answer: C.280
Explanation: Ratio = 6:1 => 6x respondents preferred Brand X and x preferred Brand Y
Since, no. of respondents who preferred Brand X = 240 => 6x=240 => x=40
Hence Total no. of respondents = 240 + 40 = 280
Hence C is the answer.
Question: Which of the following values of R gives the greatest value for the expression R/(R-2)?
A.5.5
B.4.5
C.3.5
D.2.5
Answer: D.2.5
Explanation: 5.5/(5.5 - 2) = 11/7 (~1.57)
4.5/(4.5 - 2) = 9/5 (1.8)
3.5/(3.5 - 2) = 7/3 (~2.33)
2.5/(2.5-2) = 5
1.5/(1.5 - 2) = -3
Thus, the answer is D.
Question: If the circumference of a circle is 200 units, Then what will the length of the arc described by an angle of 20 degree ?
A.11.11
B.11.89
C.11.1
D.11.18
Answer: A.11.11
Explanation: Explanation:
The angle formed by a circle is 360 degrees.
Length of the arc = θ360θ360 × Circumference of the circle.
So Length of the arc = 20360×20020360×200
So, the length of the arc described by 20 degree angle is 11.11 units.
Answer:A
Question: Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $75?
A.4
B.18
C.15
D.20
Answer: B.18
Explanation: you could set-up a quick table and brute force the answer.
A	4	*	50	200 1800	-200 1600	26 61.54
B	18	*	50	600 1800	-900 0900	12 75.00
C	15	*	50	750 1800	-750 1050	15 70.00
D	20	*	50	1000 1800	-1000	800	10 80.00
E	24	*	50	1200 1800	-1200	600	6 100.00
Answer is B
Question: Two trains of equal length, running with the speeds of 60 and 16 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.10.11
B.8.11
C.77.2
D.13.15
Answer: D.13.15
Explanation: RS = 60 -40 = 20 * 5/18 = 100/18
T = 50
D = 50 * 100/18 = 2500/9
RS = 60 + 16 = 76 * 5/18
T = 2500/9 * 18/380= 13.15 sec.Answer: D
Question: A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
A.21 days
B.24 days
C.23 days
D.25 days
Answer: B.24 days
Explanation: B
24 days
10/40 + 10/30 + 10/x = 1
x = 24 days
Question: Solve the given two equations and find the inequality of X and Y. (a) 3X^2+8X+4 = 0 and (b) 4Y^2-19Y+12= 0
A.If x>y
B.If x>=y
C.If x < y
D.If x<=y
Answer: C.If x < y
Explanation: Solution:-
Solving we get X= -2/3 or -2
Y= 3/4 or 4
C)
Question: (112 x 5^4) = ?
A.7000
B.700
C.70000
D.70
Answer: C.70000
Explanation: (112 x 5^4) = 112 x(10/2)^4
=(112 x 10^4)/2^4
=1120000/16	= 70000
Answer is C.
Question: In the manufacture of a certain product, 7 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
A.0.125%
B.0.35%
C.0.8%
D.1.25%
Answer: B.0.35%
Explanation: 0.07*0.05 = 0.0035 = 0.35%
The answer is B.
Question: A sum of money amounts to 9800 after 5 years and 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:
A.10
B.18
C.11
D.12
Answer: D.12
Explanation: D
12
S.I. for 3 years = (12005 - 9800) = 2205.
S.I. for 5 years = (2205/3)x 5 = 3675
Principal = (9800 - 3675) = 6125.
Hence, rate = (100 x 3675)/(6125x5)% = 12%
Question: In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
A.5 kmph
B.6 kmph
C.6.25 kmph
D.7.5 kmph
Answer: A.5 kmph
Explanation: Let Abhay's speed be x km/hr.
Then,30/x	-30/2x = 3
6x = 30
x = 5 km/hr
Answer:A
Question: When a certain number X is divided by 66, the remainder is 14. What is the remainder when X is divided by 11?
A.2
B.3
C.7
D.9
Answer: B.3
Explanation: Let possible value of x is 80
least possible value of x/11 is 80/11 =>7 quotient with remainder 3
Thus answer is (B) 3
Question: Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship?
? : 4623 :: 9 : 647
A.16
B.17
C.18
D.19
Answer: B.17
Explanation: Solution:
17
Explanation :
The relationship holds for below formula :
pow(x,3) - pow(x,2) - 1
=> 9*9*9 - 9*9 - 1
=> 729 - 81 - 1
=> 647
Similarly,
17*17*17 - 17*17 - 1
=> 4913 - 289 - 1
=> 4623
Answer B
Question: A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every two leaps of the hare, the jackal takes three leaps. Find the ratio of the speed of the hare to the speed of the jackal.
A.64:25
B.8:9
C.5:8
D.25:64
Answer: B.8:9
Explanation: The hare takes 2 leaps and the jackal takes 3 leaps.
1 hare leap = 4/3 jackal leaps
Thus the hare's 2 leaps = 2*(4/3) = 8/3 jackal leaps.
The ratio of their speeds is 8/3:3 = 8:9.
The answer is B.
Question: The sum of first five prime numbers is:
A.10
B.15
C.69
D.28
Answer: D.28
Explanation: Explanation:
Required sum = (2 + 3 + 5 + 7 + 11) = 28.
ANSWER D
Question: In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks, 2/3 are shiny and the rest are matte, while 1/5 of the sedimentary rocks are shiny. If there are 40 shiny igneous rocks, how many total rocks does Cliff have?
A.180
B.45
C.60
D.90
Answer: A.180
Explanation: We can start with the known quantity and then go on to find the others.
Shiny igneous ricks are 40. These are (2/3) of total igneous rocks.
(2/3)*Total igneous rocks = 40
Total igneous rocks = 40 * (3/2) = 60
Total sedimentary rocks = 2*Total igneous rocks = 2*60 = 120
Total number of rocks = 60 + 120 = 180
Answer (A)
Question: 12.5 * 3.2 * 7.8 = ?
A.312
B.435
C.224
D.646
Answer: A.312
Explanation: A
312
? = 12.5 * 3.2 * 7.8 = 312
Question: From an island, it is possible to reach the mainland by either Ferry P or Ferry Q. Ferry P travels for 2 hours at 8 kilometers per hour, while Ferry Q takes a route that is three times longer. If Ferry P is slower than Ferry Q by 4 kilometers per hour, how many hours longer is the journey of Ferry Q compared with the journey of Ferry P?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: The distance traveled by Ferry P is 16 km.
Then the distance traveled by Ferry Q is 48 km. Ferry Q travels at a speed of 12 kph. The time of the journey for Ferry Q is 48/12 = 4 hours, which is 2 hours more than Ferry P. The answer is B.
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.200, find the original price per kg?
A.s.7
B.s.4
C.s.5
D.s.1
Answer: C.s.5
Explanation: 100*(20/100) = 20 --- 10
? --- 1 => Rs.2
200 --- 80
? --- 2 => Rs.5
Answer:C
Question: If x-y=9, which of the following must be true?
I. Both x and y are positive
II. If x is negative, y must be negative
III.If x is positive, y must be positive
A.I only
B.II only
C.III only
D.I and II
Answer: B.II only
Explanation: The best way to approach such questions is to plug in values for x and y
Given: x-y=9
I. Both x and y are positive:
Let x=10 and y=2
x-y=9
But,
Let x=6 and y=-3
x-y=8
Therefore, NOT TRUE
III. If x is positive, y must be positive
Let x=10 and y=2
x-y=9
But,
Let x = 6 and y=-3
x-y=8
Therefore, NOT TRUE
II. If x is negative, y must be negative
If x is negative, for the expression x-y=9 to be true, y must be a -ve number. Otherwise, the sum of two negative numbers will yield another negative number!
Therefore, TRUE
Ans: 'B'
Question: What percent of the different arrangements of the letters of the word AJICUX are those in which the vowels appear together?
A.25%
B.30%
C.40%
D.20%
Answer: D.20%
Explanation: let's determine the number of total possibilities in arranging the letters. There are six spaces, so the total number of arrangements is 6!, or 360.
Next, we need to figure out how to determine the number of ways that we can arrange the 3 vowels together - simply place them together (as in AAU) and call that a single place.
Next, we must determine the number of ways to arrange the now 4 units (i.e., AAU, B, C, S). Like above, there are 4 units and 4 places so the number of arrangements is 4!, or 24.
Finally, we need to account for the number of ways we can arrange AAU. We can either write out each unique iteration (AAU, AUA and UAA) or calculate as 3!/2! and get 3.
Putting this all together, we get the number of ways to arrange the letters so that the vowels are together is 4! x 3 ==> 72
the number of total arrangements of all the letters is 6! ==> 360
72/360 = 1/5, or 20% Correct answer is D
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?
A.2400 m^2
B.2500 m^2
C.2520 m^2
D.2560 m^2
Answer: C.2520 m^2
Explanation: Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m^2
C
Question: 575.104 x 15.98 Ã· 9.001 + 21.25 = ?
A.983.578
B.1043.65
C.1033.65
D.656.112
Answer: B.1043.65
Explanation: Explanation:
? = 575.104 x 15.98 Ã· 9.001 + 21.25
â‰ˆ (575.104 x 16/9) + 21.25 â‰ˆ 1022.40 + 21.25 â‰ˆ 1043.65
Answer: Option B
Question: By selling 45 books, a shopkeeper gains the price of 12 books. His gain per cent is
A.35.35%
B.37.37%
C.38.38%
D.36.36%
Answer: D.36.36%
Explanation: Suppose S.P of 45 books = Rs 45
Therefore, Gain = Rs 12 => C.P = Rs 33
Gain % = 12/33 x 100 = 36.36%
Gain = 36.36%
ANSWER:D
Question: The side of a square is increased by 25% then how much % does its area increases?
A.56.28 %
B.56.25 %
C.56.75 %
D.52.25 %
Answer: B.56.25 %
Explanation: a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 %
Answer: B
Question: How many four letter distinct initials can be formed using the alphabets of English language such that the last of the four words is always a consonant?
A.263 *21
B.26*25*24*21
C.25*24*23*21
D.None of these
Answer: A.263 *21
Explanation: Solution:
The last of the four letter words should be a consonant. Therefore, there are 21 options.
The first three letters can be either consonants or vowels. So, each of them have 26 options. Note that the question asks you to find out the number of distinct initials and not initials where the letters are distinct.
Hence, required answer =26�26�26�21 = 263 *21.
Answer: Option A
Question: The greatest number of four digits which is divisible by 25, 36, 40 and 75 is:
A.9000
B.9400
C.9600
D.9800
Answer: A.9000
Explanation: Greatest number of 4-digits is 9999.
L.C.M. of 25, 36, 40 and 75 is 1800.
On dividing 9999 by 1800, the remainder is 999.
Required number (9999 - 999) = 9000.
Answer: Option A
Question: What number should replace the question mark?
?, 87, 70, 52, 35
A.49
B.37
C.105
D.55
Answer: C.105
Explanation: C
105
The sequence progresses -18, -17, -18, -17.
Question: Statements: The old order changed yielding place to new. Assumption: 1) Change is the law of nature. 2) Discard old ideas because they are old.
A.Only conclusion I follows
B.Only conclusion II follows
C.Either I or II follows
D.Neither I nor II follows
Answer: A.Only conclusion I follows
Explanation: Clearly, I directly follows from the given statement. Also, it is mentioned that old ideas are replaced by new ones, as thinking changes with the progressing time. So, II does not follow.
A
Question: #88
A necklace is made by stringing N individual beads together in the repeating pattern yellow bead, green bead, white bead, blue bead, and red bead. If the necklace design begins with a yellow bead and ends with a white bead, then N could equal
A.43
B.32
C.41
D.54
Answer: A.43
Explanation: You can just write out the pattern and count: YGWBRYGWBR... But to save time a good test taker will just look for a pattern. Min # is 3, because W is the third one. Then every 5 beads another white comes, so it must be 3+5+5+5.. and so on...
3+5 = 8
3+5+5 = 13
3+5+5+5=18
3+5+5+5+5=23
So you see it ends in either 8 or 3. Pick an answer that ends in either 8 or 3. Only one answer does, A.
Question: Kim has 40 percent more money than Sal and Sal has 20 percent less money than Phil. If Sal and Phil have a combined total of $1.80, how much money does Kim have?
A.$1.00
B.$1.12
C.$1.20
D.$1.32
Answer: B.$1.12
Explanation: Phil = x
Sal = 0.8x
Kim = (1.4)*0.8x = 1.12x
x + 0.8x = 1.8 --> x = 1
Kim = 1.12
Answer: B