RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A batsman makes a score of 50 runs in the 6th inning and thus increases his average by 2. Find his average after 6th inning.
A.40
B.50
C.60
D.70
Answer: A.40
Explanation: Let the average after 6th inning = x
Then, average after 5th inning = x-2
5(x-2)+50 = 6x
x = 10-50 = 40
Answer is A
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 6 ½ hours if they are walking in the same direction?
A.7 km
B.6 km
C.8 1/8 km
D.9 km
Answer: C.8 1/8 km
Explanation: RS = 5 ¾ - 4 ½ = 1 ¼
T = 6 ½ h.
D = 5/4 * 13/2 = 65/8
= 8 1/8 km
Answer:C
Question: Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
A.332
B.787
C.500
D.277
Answer: C.500
Explanation: Let the C.P. be Rs. x. Then, 20% of x = 1100
20/100 * x = 1100 => x = 5500
C.P. = Rs. 5500, expenditure on repairs = 10%
Actual price = Rs. (100 * 5500)/110 = Rs. 5000
Expenditures on repairs = (5500 - 5000) = Rs. 500.
Answer:C
Question: 1397 x 1397 = ?
A.1951607
B.1951609
C.1951610
D.1951611
Answer: B.1951609
Explanation: 1397 x 1397	= (1397)2
= (1400 - 3)2
= (1400)2 + (3)2 - (2 x 1400 x 3)
= 1960000 + 9 - 8400
= 1960009 - 8400
= 1951609.
B)
Question: Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?
A.32
B.33
C.39
D.40
Answer: C.39
Explanation: 39
Option 'C'
Question: A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
A.12
B.10
C.15
D.8
Answer: C.15
Explanation: Option C
Explanation:
One days's work of A, B and C = 1/90 + 1/30 + 1/45
= (1 + 3 + 2)/90 = 1/15
A, B and C together can do the work in 15 days.
Question: Lucia is a wonderful grandmother.Her age is b/w 50 to 70.Each of her sons have as many sons as they have brothers.Their combined number gives Lucia's present age?what is her age?
A.85
B.55
C.84
D.64
Answer: D.64
Explanation: If she has x sons
each son has x-1 brothers.
Total no of grandchildren=x(x-1)
Total No OF Sons+Grandchildren= x+x(x-1)=x^2
=>Lucia's age is a perfect square between 50 and 70. The only number that satisfies this condition is 64.
ANSWER:D
Question: Three boys are ages 4, 6 and 7 respectively. Three girls are ages 5, 8 and 9, respectively. If two of the boys and two of the girls are randomly selected and the sum of the selected children's ages is t, what is the difference between the probability that t is even and the probability that t is odd?
A. 1/9
B. 1/6
C. 2/9
D. 1/4
Answer: A. 1/9
Explanation: Age of Boys t:4, 6, 7
Sum of ages taken 2 at a time: 10,13,11
Ages of Girls:5, 8, 9
Sum of ages taken 2 at a time: 13,17,14
9 Combinations of sum between sets(10,12,11)(13,17,14)
=23,27,24- 16,30,17- 24,28,25
Prob(Even)= 5/9
Prob(Odd) =4/9
Answer=5/9 - 4/9 = 1/9
Question: A picnic attracts 240 persons. There are 80 more men than women, and 80 more adults than children. How many men are at this picnic?
A.240
B.75
C.110
D.120
Answer: D.120
Explanation: Adult + Children = 240
Let, Children = y
then, Adult = y+80
i.e. y+(y+80) = 240
i.e. y =80
i.e. Adult = 80+80 = 160
Adults include only Men and Women
i.e. Men + Women = 160
Let women, W = x
then Men, M = x+80
i.e. x+(x+20) = 2x+80 = 160
i.e. x = 40
i.e. Men, M = 40+80 = 120
Answer: Option D
Question: Find four consecutive even integers such that the sum of the second and fourth integers is one and a half times the sum of the first and third integers.
A.n, 2n, 4n, 6n
B.n, 2, 4, 6
C.n, 2n, 3n, 4n
D.n, n+2, n+4, n+6
Answer: D.n, n+2, n+4, n+6
Explanation: Sum of Second and Fourth Integers: (n + 2) + (n + 6) = 2n + 8
Sum of First and Third Integers: n + (n + 4) = 2n + 4
Since sum of the second and fourth integers is twice than the sum of the first and third integers, it follows that:
2n + 8 = 1.5(2n + 4)
2n + 8 = 3n + 6
3n − 2n = 8 − 6
n = 2
Answer: D
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is
A.35.55 km/hr
B.36 km/hr
C.71.11 km/hr
D.71 km/hr
Answer: C.71.11 km/hr
Explanation: Explanation:
Total time taken = (160/64 + 160/8)hrs
= 9/2 hrs.
Average speed = (320 × 2/9) km.hr
= 71.11 km/hr.
Answer: C
Question: John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.18
B.19
C.19.7
D.21
Answer: C.19.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7
C)
Question: An empty tank be filled with an inlet pipe ‘A’ in 42 minutes. After 12 minutes an outlet pipe ‘B’ is opened which can empty the tank in 30 minutes. After 6 minutes another inlet pipe ‘C’ opened into the same tank, which can fill the tank in 35 minutes and the tank is filled. Find the time taken to fill the tank?
A.51.6
B.51.5
C.51.7
D.51.1
Answer: B.51.5
Explanation: Assume total tank capacity = 210 Liters
Now capacity of pipe A = 210/42 = 5 Liters
Capacity of B = 210 / 30 = - 7 Liters
Capacity of C = 210 / 35 = 6 min
Assume tank gets filled in x min after the third pipe got opened.
So x×5+6×(−2)+4x=210x×5+6×(−2)+4x=210
⇒48+4x=210⇒4x=162⇒x=40.5⇒48+4x=210⇒4x=162⇒x=40.5
Total time taken to fill the tank = 40.5 + 12 + 6 = 51.5
Answer:B
Question: If a and b are positive integers and x = 4^a and y = 5^b, which of the following is a possible units digit of xy?
A.0
B.4
C.5
D.7
Answer: A.0
Explanation: The units digit of 4^a is either 4 or 6.
The units digit of 5^b is 5.
4*5 = 20 and 6*5 = 30.
The units digit of xy is 0.
The answer is A.
Question: The probability of Sam passing the exam is 1/3. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test?
A.1/24.
B.1/2.
C.1/3.
D.2/3.
Answer: B.1/2.
Explanation: 1/3 *1/m= 1/6 , 1/m = 1/2
Answer B
Question: In the coordinate plane, one of the vertices of a square is the point (-3, -4). If the diagonals of that square intersect at point (4, 2), what is the area of that square?
A.196
B.125
C.140
D.128
Answer: A.196
Explanation: One point (-3-4), Intersection (4,2) so the distance from the first point -3-4=-7 is the midpoint of the square --> whole side 14, 14*14=196
A
Question: A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
A.4 days
B.6 days
C.8 days
D.12 days
Answer: B.6 days
Explanation: Explanation:
Suppose A, B and C take x,	x/2	and	x/3	days respectively to finish the work.
Then, 1/X	+	2/X	+	3/X =	1/2
6/X	=	1/2
x = 12.
So, B takes (12/2) = 6 days to finish the work.
ANSWER IS B
Question: Two employees X and Y are paid a total of Rs. 572 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
A.s.250
B.s.280
C.s.290
D.s.260
Answer: D.s.260
Explanation: Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 572
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 572
⇒ y[12/10 + 1] = 572
⇒ 22y/10 = 572
⇒ 22y = 5720
⇒ y = 5720/22 = 520/2 = Rs.260
D
Question: Of the twelve participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under 18 years of age and 2 females over 18 years of age?
A.3
B.4
C.6
D.9
Answer: D.9
Explanation: half are male --> 6 males
half the males are under 18 --> 3 males under 18
same for females --> 3 females above 18
groups of four ( out of which 2 are males below 18 and 2 are females above 18) = 3C2 * 3C2 = 3*3 =9
ANS:D
Question: 34.	The side surface of a cylinder is rolled with a rectangular plate. If the height of a cylinder tank is 10 feet and the perimeter of the circular base Is 4 feet, what is the area of the rectangular plate?
A.24
B.34
C.28
D.40
Answer: D.40
Explanation: Think of a Pringles can. If you took off the bottom and top and cut a slit down the length, it would flatten to a rectangle. The dimensions of the rectangle are the height of the can and the circumference of the circle. Since you know both you can multiply them together to find the area, 40. (Correct answer D)
Question: The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?
A.5
B.8
C.9
D.10
Answer: B.8
Explanation: Let the number be xy.
Given xy – yx = 36.
This means the number is greater is than the number got on reversing the digits.
This shows that the ten’s digit x > unit digit y.
Also given ratio between digits is 1 : 2 => x = 2y
(10x + y) – (10y +x) = 36 => x – y = 4 => 2y – y =4.
Hence, (x + y) – (x – y) = 3y – y = 2y = 8
B
Question: The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits G of the larger integer?
A.G=2
B.G=5
C.G=8
D.G=10
Answer: A.G=2
Explanation: Really hard. But let's start with few concepts:
1. Square of an odd integer will be odd.
2. Difference of odd and odd will be even.
3. Any odd integer can be expressed as difference of two squares.
4. An even integer can be expressed as difference of two squares only if that even integer is a multiple of 4.
Assume two odd integers to be (2x-1) and (2x+1).
Difference of their squares = (2x+1)^2 - (2x-1)^2
= 4x^2 + 1 + 4x - (4x^2 + 1 - 4x)
= 4x^2 + 1 + 4x - 4x^2 - 1 + 4x
= 8x
Now root of 8x needs to be an integer such that it is equal to the sum of the digits of the two odd integers.
8 = 2^3, so x needs to be such that itcompletesa perfect square.
If we find x, we can find the value of 2x+1 (larger integer) and then sum of its digits.
Let's check the options, starting with c.
For sum to be 8, few possibilities are: 17, 35, 53, 71
If we take 17, the pair is 15 and 17, meaning x = 8.
8x = 64
root of 64 = 4 but 4 is not equal to 1+5+1+7.
Reject.
If we take 35, the pair is 33 and 35, meaning x = 17.
8x = 8*17
Reject since perfect square is not possible.
If we take 53, the pair is 51 and 53, meaning x = 26.
8x = 8*26
Reject since perfect square is not possible.
If we take 71, the pair is 69 and 71, meaning x = 35.
8x = 8*35
Reject since perfect square is not possible.
I tried each option and the possibilities and then got lost.
Then, it occurred to me that I was only checking 2-digit integers. What about 3-digits?
Starting with option a, only 2-digit odd integer whose sum is 2 is 101.
If we take 101, the pair is 99 and 101, meaning x = 50.
8x = 8*50 = 400
root of 400 = 20 which is indeed equal to 9+9+1+1.
Answer (A).
Question: When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 8?
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 8?
Putting a value say x = 27 we get remainder as 27 when divided by 63.
When 27 divided by 8 we get 3 as remainder.
B is the answer.
Question: The average age of 36 students in a group is 14 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
A.31
B.36
C.51
D.cannot be determined
Answer: C.51
Explanation: Age of the teacher = (37 × 15 – 36 × 14) years
= 51 years.
Answer C
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
A.s.4528
B.s.4520
C.s.5436
D.s.4530
Answer: C.s.5436
Explanation: Area of the four walls = 2h(l + b)
Since there are doors and windows, area of the walls
= 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3)
= 906 sq.ft.
Total cost = 906 * 6
= Rs.5436
Answer:C
Question: The ratio, by volume, of soap to alcohol to water in a certain solution is 2:40:70. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
A.500
B.600
C.650
D.700
Answer: D.700
Explanation: soap:alcohol
Initial ratio soap:alcohol: water --> 2:40:70
Initial soap:alcohol = 2/40 =2:40
after doubled soap:alcohol =2* 2/40 = 4:40
Initial soap:water = 2/70=2:70
after halved soap:water: 1/2 * 2/70 = 1/70 = 1:70
After soap: alcohol:water --> 4:40:280-->1:10:70
given alcohol 100 cubic centimeter.
ratio is 10:100:700(1:10:70)
For 100 cubic centimeter of Alcohol --- 700cubic cm water is required.
Answer-D
Question: Ken and Shen are workers in a department that has a total of 10 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
A.2/45
B.1/45
C.11/45
D.12/45
Answer: B.1/45
Explanation: Probability = 2c2/10c2
= 1/45
Answer B
Question: If 12 carpenters working 6 hours a day can make 460 chairs in 24 days, the no. of chairs made by 18 carpenters in 36 days each working 8 hours a day will be:
A.1380
B.920
C.1320
D.1260
Answer: A.1380
Explanation: Explanation :
no of work hour days by carpenters is 460/(12*6*24)
now no chair is 460*18*36*8/(12*6*24)=1380
Answer : A
Question: 9 - 3 ÷ 1/3 + 2 = ?
A.2
B.3
C.6
D.9
Answer: A.2
Explanation: 9 - 3 1/3 + 2
=9-3÷1/3+2
=9-(3X3) +2
=9-9+2
=2
CORRECT ANSWER : A
Question: A man has Rs. 448 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.45
B.60
C.75
D.84
Answer: D.84
Explanation: Let number of notes of each denomination be x.
Then x + 5x + 10x = 448
16x = 448
x = 28.
Hence, total number of notes = 3x = 84
Answer: Option D
Question: Out of first 20 natural numbers , one number is selected at random. The probability that it is either an even number or a prime number is?
A.17/65
B.17/29
C.17/21
D.P(EᴜP) =17/20
Answer: D.P(EᴜP) =17/20
Explanation: n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20.Answer:D
Question: There are 9 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
A.1296
B.720
C.1,060
D.1,520
Answer: A.1296
Explanation: Answer is E. Can somebody tell me what answer I may have found if I had added the 9C2 and 9C2 (36+36=72)?
I'm guessing that would've been the number of 2-member committees which had men and women separately. Is that right?
A
Question: 125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
A.12 liters
B.32 liters
C.41 liters
D.50 liters
Answer: D.50 liters
Explanation: Milk = 3/5 * 125 = 75 liters
Water = 50 liters
75 : (50+P) = 3:4
150 + 3P = 400 => P = 50
50 liters of water are to be added for the ratio become 3:4.
Answer:D
Question: Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?
A.8/38
B.8/32
C.8/35
D.8/31
Answer: C.8/35
Explanation: Explanation:
P(A) = 2/5
P(B) = 4/7
E = {A and B both get selected}
P(E) = P(A)*P(B)
= 2/5 * 4/7
= 8/35
ANSWER: C
Question: A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find A's share.
A.Rs. 3240
B.Rs. 2520
C.Rs. 2880
D.Rs. 3360
Answer: A.Rs. 3240
Explanation: Explanation:
Let C's investment = Rs. x
B's investment = Rs. (x - 3000)
A's investment = Rs. (x - 3000 + 6000) = Rs. (x + 3000)
Now, (A + B + C)'s investment = Rs. 72000
=> x + (x - 3000) + (x + 3000) = 72000
=> 3x = 72000
=> x = 24000
Hence, A's investment = Rs. 27000
B's investment = Rs. 21000
C's investment = Rs. 24000
Ratio of the capitals of A, B and C
= 27000 : 21000 : 24000
= 9 : 7 : 8
A's share = Rs. [(9/24) × 8640] = Rs. 3240
Answer: Option A
Question: P runs 25% faster than Q so P gives Q a ten meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
A.50
B.60
C.70
D.80
Answer: A.50
Explanation: Let D be the race distance that P ran.
Let T be the time it took to complete the race.
Let V be Q's speed.
T = D/1.25V = (D-10) / V
D=1.25D-12.5
0.25D=12.5
D=50 meters.
The answer is A.
Question: A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?
A.28
B.27
C.12
D.37
Answer: D.37
Explanation: Explanation:
16x + 85 = 17(x + 3)
x = 34 + 3 = 37
Answer: D
Question: Jim is now twice as old as Fred, who is nine years older than Sam. Four years ago, Jim was four times as old as Sam. How old is Jim now?
A.40
B.44
C.48
D.52
Answer: C.48
Explanation: J = 2F = 2(S+9) = 2S+18
J-4 = 4*(S-4)
(2S+18)-4 = 4S-16
S = 15 and so J = 48
The answer is C.
Question: If a = 0, b = 0, and (a^2)b = a, then which of the following MUST equal a?
A.1/(b^2)
B.0
C.b
D.b^2
Answer: B.0
Explanation: A=0
B=0
A^2b-A=0
A (Ab-1)=0
Since A =0 then
Ab-1=-1
Ab=0
Ans:B
Question: What is the difference between local value & face value of 3 in the numeral 65793?
A.8453
B.8956
C.8991
D.0
Answer: D.0
Explanation: (Local value of 3) - (Face value of 3)
= (3 - 3) = 0
D
Question: It takes 50 identical printing machines 8 hours to print 500,000 posters. How long would it take 40 of these machines to print the same total?
A.10 hr
B.12 hr
C.12 hr 24 min
D.12 hr, 40 min
Answer: A.10 hr
Explanation: 50 machines finish the job in 8 hours. We do not have to take care of the 500'000 posters, it does not matter.
40 machines means, 20% less of capacity and therefore 20% longer to work for a certain job.
8 * 1.2 = 9 hr, 36 min
Answer A	..
Hi reto,
since you are looking time for 40 machines it is 25% less so will take 25% more ..
ans 8*1.25=10 hrs..
A)
Question: The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 735, Krishan has ?
A.s. 4335
B.s. 2330
C.s. 1190
D.s. 1620
Answer: A.s. 4335
Explanation: Ram : Gopal = 7 : 17 = 49 : 119
Gopal : Krishan = 7 : 17 = 119 : 289
Ram : Gopal : Krishan = 49 : 119 : 289
Ram : Krishan = 49 : 289
Thus, 49 : 289 = 735 : N
&there N = 289 x 735 / 49
= Rs. 4335
Answer :A
Question: A number consists of two digits. The sum of the digits is 9. If 63 is subtracted
from the number, its digits are interchanged. Find the number.
A.27
B.36
C.81
D.72
Answer: C.81
Explanation: Let the ten's digit be x. Then, unit's digit = (9 - x).
Number = l0x + (9 - x) = 9x + 9.
Number obtained by reversing the digits = 10 (9 - x) + x = 90 - 9x.
therefore, (9x + 9) - 63 = 90 - 9x =>	18x = 144 =>	x = 8.
So, ten's digit = 8 and unit's digit = 1.
Hence, the required number is 81.
Answer is C.
Question: Renuka bought an electric cooker at 90% of the regular price. She paid $360 for the cooker. What was the regular price?
A.$250
B.$400
C.$450
D.$550
Answer: B.$400
Explanation: Regular price = 360/90*100 = 400
Answer : B
Question: 8269Ã—9998=?
A.85432864
B.82673462
C.86985434
D.68954365
Answer: B.82673462
Explanation: 8269Ã—(10000-2)
82690000-16538=82673462
answer B
Question: Insert the missing number.
2, 6, 12, 20, 30, (....)
A.22
B.38
C.42
D.66
Answer: C.42
Explanation: Explanation:
The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6.
So, the next number is 6 x 7 = 42.
Answer: C) 42
Question: In a two digit number it is known that its unit's digit exceeds its ten's digit by 4 and that the product of the given number and the sum of its digits is equal to 208, What is the number ?
A.24
B.25
C.26
D.27
Answer: C.26
Explanation: xy is 2 digit no.
y-x=4;
(10x+y)*(2x+4)=208;
sub y=x+4;
we get 26
ANSWER:C
Question: 9x^2+3px+6q divided by 3x+1 leave reminder -3/4 and qx^2+4px+7 is exactly divisible by x+1, then find the values of p and Q
A.7/4,0
B.8/4,0
C.9/4,0
D.7/4,1
Answer: A.7/4,0
Explanation: 1st quadration eqn gives remainder -3/4 on dividing by 3x+1.so, eqn-(-3/4) is divisible by 3x+1 means eqn+3/4 has a roo x=-1/3.so,on putting x=-1/3 in the 1st eqn,1-p+6q+3/4=0 that is 6q-p=-7/4.2nd quad eqn is divisible by x+1.so x=-1 is root of that eqn.on putting x=-1,eqn=0.so,
q-4p+7=0.on comparing two linear eqns in p and 2,we get p=7/4 and q=0.
ANSWER:A
Question: The length of rectangle is thrice its breadth and its perimeter is 80 m, find the area of the rectangle?
A.360
B.376
C.299
D.276
Answer: A.360
Explanation: 2(3x + x) = 80
l = 36 b = 10
lb = 36 * 10
= 360
A
Question: A women walking at 3 Kmph reaches her office 8 minutes late. If she walks at 6 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
A.1 3/5 Km
B.3 1/5 Km
C.4 1/3 Km
D.5 Km
Answer: A.1 3/5 Km
Explanation: Formula = S1*S2/S2-S1 * T1+T2/60
= 3*6/3 * 16/60
= 18/3 * 16/60
= 6 * 4/15
= 1 3/5 Km
A
Question: Which of the following is not a prime number ?
A.98
B.101
C.103
D.107
Answer: A.98
Explanation: Clearly, 98 is not a prime number.
Answer : A
Question: Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
A.635.5
B.635.87
C.635.51
D.635.19
Answer: A.635.5
Explanation: 4000
200 ---- I
200
10 ---- II
---------------
4410
2210
--------
2000
110 ---- III
110
5.50 ---- IV
-----------
2425.50
2210
-----------
4635.50
4000
----------
635.50
Answer: A
Question: The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :
A.11.0
B.11.5
C.11.1
D.11.9
Answer: B.11.5
Explanation: Explanation:
Middle numbers = [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.
Answer: B) 11.5
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
A.1/25
B.2/27
C.5/26
D.3/19
Answer: C.5/26
Explanation: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Question: Five years hence, father’s age will be three times the age of his son. Five years ago, father was enven times as old as his son. Find their present ages.
A.40 years and 10 years
B.42 years and 12 years
C.35 years and 5 years
D.41 years and 11 years
Answer: A.40 years and 10 years
Explanation: Let the present age of father be x years and the present age of son be y years.
five year’s hence
x + 5 = 3(y + 5)
=>x - 3y -10 = 0 -----(1)
Five year’s ago
x - 5 = 7(y - 5)
=>x - 7y + 30 = 0 -----(2)
Solving Equations (1) and (2), we get
x = 40 and y = 10
Hence, present age of father is 40 years and present age of son is 10 years.
ANSWER:A