RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: When positive integer w is divided by 13, the remainder is 2. When n is divided by 8, the remainder is 5. How many such values are less than 180?
A. 0
B. 1
C. 2
D. 3
Answer: B. 1
Explanation: the equation that can be formed w is 13x+2=8y+5..
13x-3=8y...
as we can see x can take only odd values as the RHS will always be even..
Also x can take values till 13 as 13*14>180..
now we have to substitue x as 1,3,5,7,9,11,13...
once we find 7 fitting in , any other value need not be checked as every 4th value will give us answer so next value will be 15..
ans 1.. B
Question: An article is bought for Rs.635 and sold for Rs.900, find the gain percent?
A.30 1/3%
B.41 93/127%
C.23 1/3%
D.35 1/3%
Answer: B.41 93/127%
Explanation: B
41 93/127%
635 ---- 265
100 ---- ? => 41 93/127%
Question: A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 840 in 4 years. The sum is?
A.s. 738
B.s. 638
C.s. 777
D.s. 730
Answer: C.s. 777
Explanation: S.I. for 1 year = (841 - 825) = Rs. 16
S.I. for 3 years = 16 * 3 = Rs. 48
Principal = (825 - 48) = Rs. 777.
ANSWER:C
Question: A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
A.1 hour 37 minutes
B.1 hour 40 minutes
C.1 hour 20 minutes
D.1 hour 30 minutes
Answer: C.1 hour 20 minutes
Explanation: Let the distance and original speed be d km and k kmph respectively.
d/0.8k - d/k = 20/60 => 5d/4k - d/k = 1/3
=> (5d - 4d)/4k = 1/3 => d = 4/3 k
Time taken to cover the distance at original speed
= d/k = 4/3 hours = 1 hour 20 minutes.
Answer: C
Question: Train speed 36kph. Dist travelled in 3minutes in meters
A.1600
B.1700
C.1800
D.1900
Answer: C.1800
Explanation: 36kmph=10m/sec
d=10*180=1800 meters
ANSWER:C
Question: If f(x)=4x−1 and g(x)=2x+2 for all integers, which of the following is a possible value of g(f(x))?
A.-23
B.-17
C.2
D.16
Answer: D.16
Explanation: g(f(x)) = 2*f(x)+2 = 2*(4x-1)+2 = 8x
Of these five options, only 16 has the form 8x.
The answer is D.
Question: Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
A.R=7
B.R=4
C.R=3
D.R=5
Answer: D.R=5
Explanation: Let the rate of interest be R% p.a.
17400[1 + R/100]2 = 17400 + 1783.50
[1 + R/100]2 = (17400 + 1783.50)/17400
= 1 + 1025/10000 = 1 + 41/400
= 441/400 = [21/20]2
[1 + R/100] = 21/20
R/100 = 1/20
Therefore R=5
Answer:D
Question: Line Y has the equation 3x + y = 7. Which of the following lines is perpendicular to Line Y?
A. y = 3x + 4
B. y = –3x – 6
C. y = (1/3)x – 1
D. y = (–1/3)x + 2
Answer: C. y = (1/3)x – 1
Explanation: I first rewrote the equation in the standard y=mx+b form. Therefore, Line Y as presented, 3x + y = 7, can be rewritten as follows: y=-3x+7.
Thought process next is what line would be perpendicular to Line Y? Any line with a reciprocal of the slope but in the opposite direction. The reciprocal of any fraction/integer is 1 over that number/integer. Therefore the reciprocal of -3 is -1/3 - need to drop the negative sign because the line would kinda run parallel and we want perpendicular. Scan the answers choices and notice C as the only one.
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
A.120
B.277
C.288
D.265
Answer: A.120
Explanation: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 10 = 120 cm2.Answer: A
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.77 less, he could have gained 25%. What is the cost price?
A.s.370
B.s.385
C.s.375
D.s.350
Answer: B.s.385
Explanation: CP1 = 100 SP1 = 120
CP2 = 80 SP2 = 80 * (125/100) = 100
20 ----- 100
77 ----- ? => 385
ANSWER:B
Question: a,b,c weighted separately 1st like a, b, c , then a & b, then b & c ,then c & a at last a & b & c, the last weight was 167,then what will be the average weight of the 7 reading?
A.95
B.95.42
C.95.45
D.94
Answer: B.95.42
Explanation: The sum of 7 weights = weights of[a+b+c+(a+b)+(b+c)+(c+a)+(a+b+c)]= weights of[4*(a+b+c)=4*167=668
Therefore The average weight of 7 readings is 668/7=95.428
ANSWER:B
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
A.600
B.88
C.66
D.55
Answer: A.600
Explanation: Cost price = Rs.500
profit = 20% of 500 = Rs.100
Selling price = Cost price + Profit
= 500 + 100 = 600
Answer:A
Question: The area of an isosceles trapezoid with sides of length 5 and bases of length 11 and 17 is?
A.48
B.52
C.54
D.56
Answer: D.56
Explanation: Isosceles trapezoid indicates that if we draw perpendicular from two vertex of the smaller side, the longer side with side 17 will be divided into 3 parts= 11, 3 and 3 (Making one square and two right triangles)
For the right triangle, height will be= (5^2-3^2)^1/2= 4
And the area of trapezoid = 1/2 (B1+B2)H= 1/2*28*4= 56
D is the answer
Question: Thefactor countof an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest Q?
A. 60
B. 61
C. 62
D. 63
Answer: A. 60
Explanation: 60 = 2*2*3*5 factor count =3
61= prime number
62 = 2*31 factor count=2
63=3*3*7 factor count=2
64=2*2*2*2*2*2 factor count=1=Q
answer is A.
Question: rahul played weel in this season.his current batting averagge is 53.if he score 78 runs in today match.his batting average will become 58.how many matches had he played in this season.
A.4
B.10
C.9
D.6
Answer: A.4
Explanation: 53x+78=58(x+1)
=>5x=20
=>x=4
ANSWER:A
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
A.249
B.178
C.245
D.277
Answer: C.245
Explanation: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time
= 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2
==> 2(130 + X) = 750
==> X
= 245 m
Answer: C
Question: A bowl has only 4 apples and 4 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples?
A.1/10
B.1/5
C.3/14
D.2/5
Answer: C.3/14
Explanation: 4/8 * 3/7
=3/14
C. 3/14
Question: John makes $60 a week from his job. He earns a raise and nowmakes $70 a week. What is the % increase?
A.16%
B.16.66%
C.17%
D.17.2%
Answer: B.16.66%
Explanation: Increase = (10/60)*100 = (1/6)*100 = 16.66%.
B
Question: A car crosses a 600 m long bridge in 5 minutes. What is the speed of car in km per hr?
A.7 km/hr
B.7.2 km/hr
C.7.5 km/hr
D.8 km/hr
Answer: B.7.2 km/hr
Explanation: Speed = 600 m/sec.
5 x 60
= 2 m/sec.
Converting m/sec to km/hr (see important formulas section)
= 2 x 18 km/hr
5
= 7.2 km/hr
B
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 30kmph and the other is going towards south 40kmph. What time will they take to be 50km apart?
A.1.32hr
B.0.714hrs
C.3.231hrs
D.0.515hrs
Answer: B.0.714hrs
Explanation: To be (30+40) km apart, they take 1 hour
To be 50 km apart, they take 1/70 *50 = 0.714 hrs
Answer is B
Question: If the product of the integers from 1 to n is divisible by 378, what is the least possible value of n?
A.7
B.8
C.9
D.10
Answer: C.9
Explanation: 378 = 2 x 3 x 3 x 3 x 7
N must include at least 3, 2*3, and 3*3.
The answer is C.
Question: 5n + 2 > 12 and 7n - 5 < 23; n must be between which numbers?
A.1 and 8
B.2 and 4
C.0 and 9
D.2 and 7
Answer: B.2 and 4
Explanation: 5n > 10 --> n > 2
7n < 28 --> n < 4
2 < n < 4
Answer: B
Question: George is 8 years more than Christopher and Ford is 2 years younger than Christopher. The sum of their ages is 60. Find the ages of Ford.
A.14
B.15
C.16
D.17
Answer: C.16
Explanation: Christopher age = x
George age, y = x + 8---------->(1)
Ford age, z = x - 2------------>(2)
Sum of their ages, x+y+z=60---->(3)
Substitute z and y values in equation (3)
Therefore, x+(x+8)+(x-2)=60
=> 3x+8-2=60
=> 3x=60-6
=> 3x=54 =>x=54/3
x=18(Christopher's age)
Substitute x value in equation 1 & 2
y=x+8
y=18+8
y=26(George's age)
z=x-2
z=18-2
z=16(Ford's age)
ANSWER:C
Question: A restaurant orders 150 kg of pumpkins from the farmer’s market. The farmer fills the order with 23 pumpkins. The average mass of the first 20 pumpkins is 6.5 kg. What must be the minimum average mass of the remaining 3 pumpkins to fill the order?
A.5.5 kg
B.5.67 kg
C.6.67 kg
D.7 kg
Answer: C.6.67 kg
Explanation: The order of 150 kg is distributed among 23 pumpkins.
20 of the pumpkins weigh a total of 20*6,5=130.
The remaining 3 pumpkins weigh a total of 150-130=20.
The average of the 3 remaining pumpkins(answer to the question) is 20/3=6,666... or 6,67.
Answer: C.
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
A.11
B.25
C.77
D.88
Answer: B.25
Explanation: 800 --- 200
100 --- ? => 25%
Answer:B
Question: If a and b are positive integers of B such that a/b=2.86, which of the following must be a divisor of a?
A.10
B.B.13
C.18
D.26
Answer: B.B.13
Explanation: The prompt gives us a couple of facts to work with:
1) A and B are positive INTEGERS
2) A/B = 2.86
We can use these facts to figure out POSSIBLE values of A and B. The prompt asks us for what MUST be a divisor of A. Since we're dealing with a fraction, A and B could be an infinite number of different integers, so we have to make both as SMALL as possible; in doing so, we'll be able to find the divisors that ALWAYS divide in (and eliminate the divisors that only SOMETIMES divide in).
The simplest place to start is with...
A = 286
B = 100
286/100 = 2.86
These values are NOT the smallest possible values though (since they're both even, we can divide both by 2)...
A = 143
B = 50
143/50 = 2.86
There is no other way to reduce this fraction, so A must be a multiple of 143 and B must be an equivalent multiple of 50. At this point though, the value of B is irrelevant to the question. We're asked for what MUST divide into A....
Since A is a multiple of 143, we have to 'factor-down' 143. This gives us (11)(13). So BOTH of those integers MUST be factors of A. You'll find the match in the answer choices.
Final Answer:
B
Question: 30^10 / 180^5=?
A.5^5
B.5^6
C.3^6
D.6^3
Answer: A.5^5
Explanation: 30^10 / 180^5=?
A. 5^5
B. 5^6
C. 3^6
D. 6^3
E. 15^3
-> 30^10 / 180^5=(30^10)/(6^5)(30^5)=(30^5)/(6^5)=(6^5)(5^5)/(6^5)=5^5.
Thus, A is the answer.
Question: Each factor of 290 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?
A.1/16
B.5/42
C.16
D.3/16
Answer: C.16
Explanation: 290=2*3*5*7, so the # of factors 210 has is (1+1)(1+1)(1+1)(1+1)=16 (see below);
42=2*3*7, so out of 16 factors only two are multiples of 42: 42 and 210, itself;
So, the probability is 2/16=1/6
Answer: C.
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
A.2356 sq m
B.1775 sq m
C.4312 sq m
D.1756 sq m
Answer: C.4312 sq m
Explanation: Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 264 and 2∏l = 352
s = 264/2∏ and l = 352/2∏
Difference between the areas = ∏l2 - ∏s2
= ∏{1762/∏2 - 1322/∏2}
= 1762/∏ - 1322/∏
= (176 - 132)(176 + 132)/∏
= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m
Answer:C
Question: A certain company reported that the revenue on sales increased 30 % from 2000 to 2003, and increased 80 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
A. 50 %
B. 40 %
C. 35 %
D. 38 %
Answer: D. 38 %
Explanation: Assume the revenue in 2000 to be 100. Then in 2003 it would be 130 and and in 2005 180, so from 2003 to 2005 it increased by (180-130)/130=50/130=~38%.
Answer: D
Question: Which of the following could be the sum of the reciprocals of two prime numbers?
A.7/13
B.11/12
C.12/10
D.23/50
Answer: C.12/10
Explanation: 12/10 it is
6/5=(1/2) + (1/5)
Answer - C
Question: If four coins are tossed, the probability of getting two heads and two tails is?
A.3/8
B.3/0
C.3/6
D.3/5
Answer: A.3/8
Explanation: Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six ways.
n(E) = six ways
p(E) = 6/24 = 3/8
Answer: A
Question: A race course is 400m long. A and B run a race and A wins by 5m. B and C run over the same course and B win by 4m. C and D run over it and D wins by 16m. If A and D run over it, then who would win and by how much?
A.A, 8.4m
B.D, 8.4m
C.D, 7.2m
D.A, 7.2m
Answer: C.D, 7.2m
Explanation: when A covers 400m
B covers 395 m
c covers 391mtrs
and D covers 407.29 mtrs
ANSWER:C
Question: Each child has 3 crayons and 12 apples. If there are 6 children, how many crayons are there in total?
A.22
B.65
C.18
D.36
Answer: C.18
Explanation: 3*6=18.Answer is C.
Question: A boy was asked to multiply a number by 22. He instead multiplied the number by 44 and got the answer 308 more than the correct answer. What was the number to be multiplied?
A.16
B.10
C.14
D.12
Answer: C.14
Explanation: Let required number
=x
=22x+308=44x
⇒22x=308
⇒x=308/22
=154/11
=14
Answer :C
Question: A bag contains 30 black balls and 20 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A.2/5
B.5/7
C.1/2
D.1/4
Answer: A.2/5
Explanation: Total number of balls = 30+20 = 50
no. of white balls = 20
probability of drawing a white ball = 20/50 = 2/5
Answer is A
Question: Smith borrowed some money at the rate of 10% p.a. for the first 2years, at the rate of 12% p.a. for the next three years, and at the rate of 16% p.a. for the period beyond five years. If he pays a total interest of $ 600 at the end of 9years, how much money did he borrow?
A.$1000
B.$750
C.$400
D.$500
Answer: D.$500
Explanation: Let the sum borrowed be x
(x*2*10/100)+(x*12*3/100)+(x*16*4/100) = 600
(20x/100)+(36x/100)+(64x/100) = 600
120x/100 = 600
x = 500
Answer is D
Question: A and B began business with Rs.2000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
A.175
B.288
C.277
D.877
Answer: A.175
Explanation: (2*8 + 1*4):(4*8 + 5*4)
5:13
5/18 * 630 = 175
Answer: A
Question: In a race of 1000 meters, A can beat B by 100 meters, in a race of 800 meters, B can beat C by 100 meters. By how many meters will A beat C in a race of 600 meters?
A.125.5 meters
B.126.5 meters
C.127.5 meters
D.128.5 meters
Answer: C.127.5 meters
Explanation: Explanation:
When A runs 1000 meters, B runs 900 meters and when B runs 800 meters, C runs 700 meters.
Therefore, when B runs 900 meters, the distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 meters.
So, in a race of 1000 meters, A beats C by (1000 - 787.5) = 212.5 meters to C.
So, in a race of 600 meters, the number of meters by Which A beats C = (600 x 212.5)/1000 = 127.5 meters.
ANSWER IS C
Question: A person crosses a 600 metre long street in 5 minutes. What is his speed in km per hour?
A.8.2
B.4.2
C.6.1
D.7.2
Answer: D.7.2
Explanation: Explanation:
Solution 1Distance =600 metre =0.6 km
Time =5=5 minutes =1/12 hour
Speed=distance/time=0.6/(1/12) =7.2 km/hr
ANSWER IS D
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?
A.20
B.25
C.30
D.40
Answer: D.40
Explanation: 2:3
2x + 10 : 3x + 10 = 5 : 7
7[2x + 10] = 5[3x + 10]
14x + 70 = 15x + 50
15x - 14x = 70 - 50
x = 20
Then the first number is = 2
2x = 40
Option 'D'
Question: With # andeach representing different digits in the problem below, the difference between #and ## is 801. What is the value of?
#
-##
____
812
A.7
B.8
C.9
D.10
Answer: C.9
Explanation: 100x
-(10x +x)
-----------
89 x= 801
x = 9
C
Question: A person can swim in still water at 16 km/h. If the speed of water 8 km/h, how many hours will the man take to swim back against the current for 12 km?
A.3
B.1.5
C.2.3
D.1.8
Answer: B.1.5
Explanation: M = 16
S = 8
US = 16 - 8 = 8
D = 12
T = 12/8 = 1.5
Answer: B
Question: A Man has 366 apples with him.If he were to distribute them equally between his none children what is the least number of mangoes that he has to add ?
A.2
B.3
C.1
D.14
Answer: B.3
Explanation: B. (366+3=369). 369 is divisible by 9 369/9=41. So he will give 41 apples each to his nine children (41*9=369)
Question: There are 200 doctors and nurses at a hospital. If the ratio of doctors to nurses is 4 to 6, how many nurses are at the hospital?
A.110
B.120
C.130
D.140
Answer: B.120
Explanation: The number of nurses at the hospital is (6/10)*200=120.
The answer is B.
Question: Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
A.27/34
B.29/34
C.50/34
D.55/34
Answer: A.27/34
Explanation: =>(9/17+8/16) + (8/17 + 9/16) + (9/17 + 8/16)
=>9/34+9/34+9/34 = 27/34
ANSWER A
Question: This is how Edward’s Lotteries work. First, 8 different numbers are selected. Tickets with exactly 6 of the 8 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 6 numbers drawn from the 8 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?
A. 8P6
B. 8P3
C. 9C9
D. 8C6
Answer: D. 8C6
Explanation: since we have to select random 6 numbers from 8 and they all are distinct. i think it should be 8C6 or D.
Question: Josh has to run an electrical wire from point a to point b along a circuit that is restricted to the grid shown to the left. How many possible paths could Josh use that have the minimum possible length?
A.8
B.10
C.12
D.15
Answer: D.15
Explanation: ou can notice that in order the length to be minimum wire should only go UP and RIGHT: namely twice UP and 4 times RIGHT.
So combination of UURRRR: # of permutations of 6 letters out of which there are 2 identical U's and 4 identical R's is 6!/2!4!=15
Answer: D.
Question: Out of 16 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?
A.12â„13
B.11â„13
C.9/11
D.1â„15
Answer: C.9/11
Explanation: Total possible ways of selecting 4 students out of 16 students = 16C4 =1820
The no. of ways of selecting 4 students in which no student belongs to Karnataka = 11C4=330
âˆ´ Hence no. of ways of selecting at least one student from Karnataka = 16C4 â€“ 11C4 = 1490
âˆ´ Probability = 1490â„1820 = 9â„11
Answer C
Question: In a kilometer race, A beats B by 100 meters or 10 seconds. What time does A take to complete the race?
A.290 sec
B.190 sec
C.199 sec
D.90 sec
Answer: D.90 sec
Explanation: Time taken by B run 1000 meters
= (1000 * 10)/100 = 100 sec.
Time taken by A = 100 - 10 = 90 sec.
Answer: D
Question: Of the integers between 100 and 899, inclusive, how many do not have digit 2 and 5?
A. 310
B. 320
C. 410
D. 384
Answer: D. 384
Explanation: Options for the first digit 8-2(2 and 5)=6;
Options for the second digit 10-2=8;
Options for the third digit 10-2=8;
Total numbers possible 6*8*8=384.
Answer: D.
Question: A restaurant meal cost $45 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:
A.$49 and $52
B.$45 and $51
C.$47 and 50
D.$45 and $48
Answer: A.$49 and $52
Explanation: let tip=t
meal cost=35.50
range of tip = from 10% of 45 to 15% of 45 = 4.5 to 6.75
hence range of amount paid= 45+T= 49.5 to 51.75 i.e. A
Question: In 1 hour, a boat goes 9 km along the stream and 3 km against the stream. The speed of the boat in still water (in km/hr) is :
A.3 km/hr.
B.2 km/hr.
C.6 km/hr.
D.8 km/hr.
Answer: C.6 km/hr.
Explanation: Speed in still water = 1/2(9 + 3) km/hr
= 6 km/hr. ANSWER :C
Question: A and B enterd into a partnership investing Rs.16,000 and Rs.12,000 respectively.After 3 months,A withdrew Rs.5000 while B invested Rs.5000 more.After 3 more months.C joins the business with a capital of Rs.21,000.The share of B exceeds that of C,out of a total profit of Rs.26,400 after one year by
A.Rs.2400
B.Rs.3000
C.Rs.3600
D.Rs.4800
Answer: C.Rs.3600
Explanation: Solution
A : B : C = (16000x3+11000x9) : (12000x3+17000x9): (21000x6)
= 147 : 180 : 126 = 7 : 9 : 6.
∴ Difference of B and C’s shares = Rs. (26400x9/22-26400x6/22) = Rs. 3600. Answer C
Question: A crate of apples contains 1 bruised apple for every 35 apples in the crate. Two out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 10 apples not fit to sell in the crate, how many apples are there in the crate?
A.270
B.360
C.700
D.600
Answer: C.700
Explanation: as given 2 out of every 4 bruised apple is not fit to sell
or, 50% of the bruised apples are not fit to sell.
as per the question 10 are not fit to sell
or,
0.50x=10
x=1000/50=20
thus total number of bruised apples =20
total number of apples =35*20=700
Answer: C
Question: If x and y are positive integers, and x^3*y^4 = 16, which of the following is the value of xy?
A.2
B.4
C.6
D.8
Answer: A.2
Explanation: 16 = 1^3*2^4
xy = 1*2 = 2
The answer is A.
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A.245
B.777
C.282
D.266
Answer: C.282
Explanation: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.
Answer: C
Question: The average age 11 members of a committee are the same as it was 5 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
A.20 years
B.21 years
C.18 years
D.55 years
Answer: D.55 years
Explanation: 11 * 5 = 55 years
Answer:D
Question: Average weight of 10 people increased by 1 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is
A.50
B.55
C.60
D.65
Answer: B.55
Explanation: Explanation:
Total weight increased is 1 * 10 = 10.
So weight of new person is 45+10 = 55
Answer: Option B
Question: A sum was put at simple interest at a certain rate for 5 years Had it been put at 6% higher rate, it would have fetched 90 more. Find the sum.
A.90
B.100
C.200
D.300
Answer: D.300
Explanation: Difference in S.I. = P×T/100(R1−R2)
⇒ 90 = P×5x6/100(∵ R1 - R2 = 2)
⇒ P = 90×100/5x6=300
Answer D
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
A.288 cm2
B.277 cm2
C.285 cm2
D.276 cm2
Answer: C.285 cm2
Explanation: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (15)
= 285 cm2
Answer: C
Question: What will come in place of (a) in the following expression?
a - 896.21 + 498.05 = 215.50 – 425.01
A.188.65
B.88.6
C.188.67
D.83.65
Answer: A.188.65
Explanation: Explanation:
a - 896.21 + 498.05 = 215.50 - 425.01
a = 188.65
ANSWER: A
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.4 per sq m?
A.2288
B.2779
C.2779
D.5200
Answer: D.5200
Explanation: Area = (l + b â€“ d) d
(80 + 60 â€“ 10)10 => 1300 m2
1300 * 4 = Rs.5200
Answer:D
Question: Tough and Tricky questions: Remainders.
1^1 + 2^2 + 3^3 + ... + 5^5 is divided by 5. What is the remainder?
A.0
B.1
C.2
D.3
Answer: D.3
Explanation: a number is divisible by 5, if its last digit is divisible by 5
let's look into the sum of last digits of each term of the given expression
1^1=1
2^2=4
3^3=7
4^4=6
5^5=5
adding all these numbers we get23 which gives a remainder of 3 when divided by 5. so answer must be 3.
bunuel, can you please confirm the answer of this question.
Yes, the OA is C. Clicked the wrong button when posting. Edited. Thank you.
D