RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 86. How many points altogether did the team score?
A.662
B.678
C.652
D.642
Answer: B.678
Explanation: 8 * 86 = 688 – 10 = 678
ANSWER:B
Question: The mean of (54,824)^2 and (54,826)^2 =
A.(54,821)^2
B.(54,821.5)^2
C.(54,820.5)^2
D.(54,825)^2 + 1
Answer: D.(54,825)^2 + 1
Explanation: 54824^2 = (54825-1)^2 = 54825^2 + 1^2 - 2*54825*1
54826^2 = (54825+1)^2 = 54825^2 +1^2 + 2*54825*1
Taking the average of above 2 , we get (54825)^2 +1
hence the answer is D
Question: Rahul 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.15
B.12
C.19.7
D.16
Answer: C.19.7
Explanation: Total cost of the items he purchased = Rs.25
Total tax = 30 paise = 30/100
cost of tax = x
given that tax rate = 6%
(25-30/100-x)6/100=3/100
6(25-0.3-x)=30
x=19.7
ANSWER C
Question: (723+1992)2-(723-1992)2 / (723×1992)
A.8
B.6
C.5
D.7
Answer: D.7
Explanation: ANSWER:D
Question: What is the average (arithmetic mean) of all the multiples of ten from 10 to 110 inclusive?
A.60
B.95
C.100
D.105
Answer: A.60
Explanation: The multiples of ten from 10 to 110 inclusive would be an evenly spaced set with 11 terms - 10, 20, 30,.......110
So average = (First term + Last Term)/2 = (10 + 110)/2 = 120/2 = 60
Hence, the correct answer is A.
Question: A certain fruit stand sold apples for $0.80 each and bananas for $0.70 each. If a customer purchased both apples and bananas from the stand for a total of $6.50, what total number of apples and bananas did the customer purchase?
A.8
B.9
C.10
D.11
Answer: B.9
Explanation: Let's start with 1 apple for $0.80.
Let's subtract $0.80 from $6.50 until we get a multiple of $0.70.
$6.50, $5.70, $4.90 = 7*$0.70
The customer purchased 7 bananas and 2 apples.
The answer is B.
Question: If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 6 years would be
A.(1.5)^4
B.4(1.5)
C.(1.05)^6
D.1 + (0.05)^4
Answer: C.(1.05)^6
Explanation: f John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 6 years would be
1(1.05)^6
1.05^6
C. (1.05)^6
Question: A bag contains equal number of Rs.5, Rs.2 and Re.1 coins. If the total amount in the bag is Rs.1152, find the number of coins of each kind?
A.432
B.288
C.144
D.72
Answer: C.144
Explanation: Let the number of coins of each kind be x.
=> 5x + 2x + 1x = 1152
=> 8x = 1152 => x = 144
ANSWER:C
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 54/r years. If Pat's parents invested $6,000 in a long-term bond that pays 6 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
A. $20000
B. $15000
C. $12000
D. $10000
Answer: C. $12000
Explanation: Since investment doubles in 54/r years, then for r=6 it'll double in 54/6=~9 years (we are not asked about the exact amount so such an approximation will do). Thus after 18 years investment will become $6,000*2=$12,000 .
Answer: C.
Question: In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?
A.2
B.4
C.6
D.8
Answer: C.6
Explanation: Let us first find the fraction of green, blue and yellow balls
1/4 + 1/8 + 1/12 = 6 / 24 + 3 / 24 + 2 / 24 , common denominator
= 11 / 24 , add numerators
The fraction of white balls is given by
24 / 24 - 11 / 24 = 13 / 24
So the fraction 13 / 24 corresponds to 26 balls. If x is the total number of balls then
(13 / 24) of x = 26 balls
or (13 / 24) × x = 26
x = 26 × (24 / 13) = 48 , total number of balls
The fraction of blue balls is 1 / 8 of x. The number of blue balls is given by
(1 / 8) of 48 = 6 balls.
correct answer is C)6
Question: Set M contains numbers that satisfy the condition that, if integer x is in the set then x+3 will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M.
I. 5
II. 2
III. -7
A.I only
B.II only
C.I and II only
D.II and III only
Answer: C.I and II only
Explanation: Notice that we are askedwhich of the following numbers MUST also be present in the set MnotCOULD be in the set.
Now, if -4 is in the set, then -4+3=-1mustbe in the set. Since -1 is in the set then -1+3=2mustbe in the set.so do 5. Could -7 be in the set? Certainly, but we don't know that for sure.
Answer: C.
Question: An inspector rejects 0.05% of the meters as defective. How many will he examine to reject 4?
A.4000
B.8000
C.5000
D.4500
Answer: B.8000
Explanation: Let the number of meters to be examined be x
Then, 0.05% of x = 4
(5/100)*((1/100)*x = 4
x = 8000
Answer is B
Question: What least whole no. should be added to 532869 to make it divisible by 9?
A.6
B.7
C.9
D.10
Answer: C.9
Explanation: If a number is divisible by 9, the sum of its digits must be a multiple of 9.
Here, 5+3+2+8+6+9=33, the next multiple of 9 is 36.
3 must be added to 532869 to make it divisible by 9
C
Question: If D is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT
A.z - w = 3(y - x)
B.D is divisible by 8
C.The average of w, x, y, and z is odd
D.D is divisible by 4
Answer: B.D is divisible by 8
Explanation: Just assume that the numbers are 2a, 2a+2, 2a+4 and 2a+6.
D = 2a + 2a+2 + 2a+4 + 2a+6 = 8a + 12
Focus on the easiest options first. You see that D is not divisible by 8. Answer (B)
Question: For a finite sequence of non zero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6 , -8?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: Given sequence: {1, -3, 2, 5, -4, -6, -8}
The questions basically asks: how manypairs of consecutive termsare there in the sequence such that the product of these consecutive terms is negative.
1*(-3)=-3=negative;
-3*2=-6=negative;
2*5=10=positive;
5*(-4)=-20=negative;
(-4)*(-6)=24=positive.
So there are 3 pairs of consecutive terms of the sequence for which the product is negative.
Answer: C.
Question: Line W has the equation 3x + y = 7. Which of the following lines is perpendicular to Line W?
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 W as presented, 3x + y = 7, can be rewritten as follows: y=-3x+7.
Thought process next is what line would be perpendicular to Line W? 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: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was.
A.15000
B.2655
C.16888
D.6677
Answer: A.15000
Explanation: Principal = Rs. (100 x 5400)/(12*3) = Rs. 15000.
Answer:A
Question: A can do a work in 30 days, B can do it in 20 days. They together under took to do a piece of work for Rs.1000, what is the share of B?
A.Rs.500
B.Rs.400
C.Rs.800
D.Rs.600
Answer: D.Rs.600
Explanation: Explanation:
Share of their work days = 30:20
Share of their work =20:30
Share of B’s money = 3/5*1000 =600
Answer: Option D
Question: What least number should be added to 1056, so that the sum is completely divisible by 23
A.4
B.1
C.2
D.3
Answer: C.2
Explanation: Explanation:
(1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2
Answer: Option C
Question: Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 6% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
A. 2:9
B. 2:7
C. 1:6
D. 1:1
Answer: D. 1:1
Explanation: (10/100)A+(2/100)B = (6/100)(A+B)
4A =4B
=> A/B = 1/1
Answer is D.
Question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 56 as quotient. What is the correct quotient ?
A.0
B.12
C.32
D.20
Answer: C.32
Explanation: 12*56=672
672%21=32
ANSWER:C
Question: How many odd numbers between 10 and 1600 are the squares of integers?
A.9
B.12
C.15
D.18
Answer: D.18
Explanation: The numbers are the squares of 5, 7, 9,...,39 which includes 18 numbers.
The answer is D.
Question: How many minutes is it before 12 noon if 16 minutes ago it was three times as many minutes after 9 am?
A.41 minutes
B.49 minutes
C.40 minutes
D.42 minutes
Answer: A.41 minutes
Explanation: A
41 minutes
Question: 1394 x 1394 = ?
A.A)1951609
B.B)1951601
C.C)1951602
D.D)1943236
Answer: D.D)1943236
Explanation: 1394 x 1394	= (1394)2
= (1400 - 6)2
= (1400)2 + (6)2 - (2 x 1400 x 6)
= 1960000 + 36 - 16800
= 1960036 - 16800
= 1943236.
Answer:D
Question: A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
A.30
B.31 5/7
C.32
D.33
Answer: B.31 5/7
Explanation: Required average
= 67 x 2 + 35 x 2 + 6 x 3
2 + 2 + 3
= 134 + 70 + 18
7
=	222
7
= 31 5	years.
7
B)
Question: Which of the following is true about 0<|x|-x<5?
A.-1<x<0
B.0<x<1
C.1<x<2
D.2<x<3
Answer: A.-1<x<0
Explanation: when can be |x|-x be greater than 0..
NEVER when x is positive..
ONLY A is left..
you can also substitute any value within the given range to check for answer
Example - put x as -0.5 for A. -1<x<0..
so |x|-x = |-0.5|- (-0.5) = 1 and it satisfies 0<|x|-4x<5
A
Question: If logx y = 10 and log2 x = 1000, what is the value of y?
A.210002
B.277889
C.210000
D.27788
Answer: C.210000
Explanation: Explanation:
log2 x = 1000
=> x = 21000
logx y = 10
=> y = x10
= (21000)10
= 2(1000 × 10)
= 210000
Answer: Option C
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
A.1.5
B.1.8
C.1.6
D.1.3
Answer: B.1.8
Explanation: 72 --- 9 DS = 8
? ---- 1
45 ---- 9 US = 5
? ---- 1 S = ?
S = (8 - 5)/2 = 1.5
Answer:B
Question: A shop owner sells 30mtr of cloth and gains SP of 10 metres. Find the gain %?
A.40%
B.45%
C.50%
D.65%
Answer: C.50%
Explanation: Here, selling price of 10 m cloth is obtained as profit.
Profit of 10 m cloth = (S.P. of 30 m cloth) – (C.P. of 30 m cloth)
Selling price of 20 m cloth = Selling Price of 30 m of cloth
Let cost of each metre be Rs. 100.
Therefore, cost price of 20 m cloth = Rs. 2000 and S.P. of 20 m cloth = Rs. Rs. 3000
Profit% = 10 × 100 = 50%
20
Profit of 50% was made by the merchant.
C
Question: What least number must be added to 1145, so that the sum is completely divisible by 23 ?
A.2
B.3
C.4
D.5
Answer: D.5
Explanation: 50*23 = 1150
1150 - 1145 = 5
Answer : D
Question: A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is
A.145
B.185
C.253
D.370
Answer: C.253
Explanation: Solution
Let the number be x.
Then 2x = 10 or x = 5. So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the units digit.
Hence, required number = 253.
Answer C
Question: A certain manufacturer of cake, muffin, and bread mixes has 70 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
A.a. 1/10
B.b. 3/10
C.c. 1/2
D.d. 3/7
Answer: D.d. 3/7
Explanation: C+M+B-CM-MB-CB-2CMB = 70
C - cake buyers, M - muffin and B - Bread buyers. CM,MB,CB and CMB are intersecting regions.
the question asks for people who have bought only bread mixes = B-CB-MB-2CMB has to be found out.
50 + 40 + B-CB-MB-20-2CMB = 70
B-CB-MB-2CMB = 30
hence the probability = 30/70 = 3/7.
D
Question: Find the least number which when divided by 33 and 8 leaves a remainder of 2 in each case.
A.266
B.268
C.270
D.272
Answer: A.266
Explanation: The least number which when divided by different divisors leaving the same remainder in each case
= LCM(different divisors) + remainder left in each case.
Hence the required least number
= LCM(33, 8) + 2 = 266.
ANSWER:A
Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?
A.20
B.22
C.24
D.26
Answer: D.26
Explanation: we have 3 places (---)to fill & we can use only digits 2, 4, 5
First place can be filled in 3 ways
2nd place can be filled in 3 ways because we can repeat the digits
3rd place can be filled in 3 ways because we can repeat the digits
Total no of codes = 3 x 3 x 3= 27
but one combination (555) will not be even so total no of even codes = 27 - 1 = 26
Answer D
Question: A set of numbers has the property that for any number x in the set, x+2 is also in the set. If -2 is in the set, which of the following must also be in the set
1. -4
2. 4
3. 0
A.1 only
B.2 only
C.1 and 2 only
D.1 and 3 only
Answer: D.1 and 3 only
Explanation: If X is in the set than X+ 2 is also in the set
If -2 in the set than
-2+2= 0 is also in the set
Since + 2 is Present, 2 + 2= 4 Is also present in the set .
Therefore Ans D
Question: If A, X, Y, and Z are unique nonzero digits in the equation:
XY
*YX
____
AYZ
And Y > X, the 2-digit number XY = ?
A.13
B.21
C.23
D.24
Answer: C.23
Explanation: The reasoning is as follows:-
B) can't be answer because Y<X
D) can't be answer because it XY x YX will give 4 digit number. Thus wrong
E) can't be answer because it XY x YX will give 4 digit number. Thus wrong
A) can't be answer because it XY x YX will give 3 digit number but the middle digit will not be equal to Y. Thus wrong
The answer is C (23)
C) is the correct answer because Y>x & will give 3 digit number & middle digit is Y
Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
A.2
B.3
C.6
D.7
Answer: C.6
Explanation: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6
C
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
A.180
B.787
C.178
D.179
Answer: A.180
Explanation: Let the five numbers be P, Q, R, S and T.
=> P + Q + R + S + T = 655.
(P + Q)/2 = 85 and R = 125
P + Q = 170 and R = 125
P + Q + R = 295
S + T = 655 - (P + Q + R) = 360
Average of the last two numbers
= (S + T)/2 = 180.
Answer:A
Question: When a number is divided by 6 &then multiply by 12 the answer is 13 what is the no.?
A.6.5
B.5
C.5.5
D.5.8
Answer: A.6.5
Explanation: if $x$ is the number, x/6 * 12 = 13
=> 2x = 13
=> x = 6.5
A
Question: A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6500?
A.Rs. 5870
B.Rs. 5991
C.Rs. 8870
D.Rs. 6850
Answer: C.Rs. 8870
Explanation: Explanation:
Total sale for 5 months = Rs. (5420 + 5660 + 6200 + 6350 + 6500) = Rs. 30,130
Therefore, required sale = Rs. [(6500 * 6) – 30,130] = Rs. (39000 – 30,130) = Rs. 8870
ANSWER C
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
A.20/68
B.20/63
C.20/69
D.20/64
Answer: B.20/63
Explanation: Required probability = (⁵C₃ . ⁴C₁)/⁹C₄ = (10 * 4)/126 = 20/63.Answer: B
Question: A,B,C can do a work in 15,20,45 days respectively. They get Rs 500 for their work. What is the share of A?
A.Rs.240
B.Rs.340
C.Rs.260
D.Rs.280
Answer: A.Rs.240
Explanation: LCM = 180
Share of A = (LCM/a x Total amount)/LCM/a + LCM/b + LCM/c
= (180/15)/(180/15 +180/20 + 180/45)
= (12/25) * 500
= Rs.240
ANSWER:A
Question: A train 300 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?
A.6 sec.
B.7 sec.
C.9 sec.
D.18 sec.
Answer: D.18 sec.
Explanation: Solution
Speed of the train relative to man	=( 68 - 8 )
= 60 Kmph
= 60 x 5 / 18
=50/3 m/sec.
Time taken by it to cover 300 m at (50 /3)m/sec
= (300 x 3/50)sec
= 18 sec.
Answer D
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
A.120
B.139
C.140
D.122
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: Option A
Question: The grade point average of one third of the classroom is 54; the grade point average of the rest is 45. What is the grade point average of the whole class?
A.52
B.54
C.48
D.58
Answer: C.48
Explanation: Let n=total students in class
total points for 1/3 class=54n/3=18n
total points for 2/3 class=45*2n/3=30n
total points for whole class=18n+30n=48n
48n total class points/n total students=48 grade point average for total class
Answer : C
Question: Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:
A.broke even
B.lost 10 cents
C.lost 4 cents
D.gained 10 cents
Answer: A.broke even
Explanation: 20 % profit on $ 1.20
= $ 20/100 × 1.20
= $ 0.20 × 1.20
= $ 0.24
Similarly, 20 % loss on $ 1.20
= $ 20/100 × 1.20
= $ 0.20 × 1.20
= $ 0.24
Therefore, in one pipe his profit is $ 0.24 and in the other pipe his loss is $ 0.24.
Since both profit and loss amount is same so, it’s broke even.
Question: The speed of a car is 98 km in the first hour and 60 km in the second hour. What is the average speed of the car?
A.76 kmph
B.75 kmph
C.87 kmph
D.79 kmph
Answer: D.79 kmph
Explanation: S = (98 + 60)/2
= 79 kmph
Answer: D
Question: A test has a mean of 220 and a standard deviation of 10, find the corresponding z score for: a) a test score of 232?
A.A)1.2
B.B)2.4
C.C)5
D.D)5.6
Answer: A.A)1.2
Explanation: A test has a mean of 220 and a standard deviation of 10,
find the corresponding z score for:
a) a test score of 232,
z(232) = (232-220)/10 = 12/10 = 1.2
Option A
Question: If x>0, y>0, and |x| > |y|, which of the following must be true?
A.x > y
B.y^2 > x^2
C.x^3 > y^2
D.–x < y
Answer: A.x > y
Explanation: Correct Answer: (E)
Let’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = |x|, and y is positive, so |y| = y. Thus x > y is the same statement as |x| > |y|, and (A) must be true.
Question: An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 1/2 %, then the amount invested at 11% was?
A.23777
B.25000
C.29977
D.26777
Answer: B.25000
Explanation: Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (100000 - x). Then,
(x * 9 * 1)/100 + [(100000 - x) * 11 * 1]/100 = (100000 * 19/2 * 1/100)
(9x + 1100000 - 11x) = 950000
x =75000
Sum invested at 9% = Rs. 75000
Sum invested at 11% = Rs. (100000 - 75000) = Rs. 25000.
Answer: B
Question: A and B are two stations 390 km apart. A train starts from A at 10 a.m. and travels towards B at 65 kmph. Another train starts from B at 11 a.m. and travels towards A at 35 kmph. At what time do they meet?
A.2.15 p.m.
B.1.15 p.m.
C.4.15 p.m.
D.3.15 p.m.
Answer: A.2.15 p.m.
Explanation: Suppose they meet x hours after 10 a.m.
Then, (Distance moved by first in x hrs) + [Distance moved by second in (x-1) hrs]=390.
65x + 35(x-1) = 390 => 100x = 425 => x =	17/4
So, they meet 4 hrs.15 min. after 10 a.m i.e., at 2.15 p.m.
Option A
Question: A train running at the speed of 60 km/hr crosses a pole in 27 seconds. What is the length of the train?
A.186 m
B.176 m
C.450 m
D.150 m
Answer: C.450 m
Explanation: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train
= (Speed x Time) = (50/3 * 27) m
= 450 m.
Answer: C
Question: An alloy weighing 48 ounces is 25% gold. How many ounces of pure gold must be added to create an alloy that is 40% gold?
A.15
B.20
C.12
D.14
Answer: C.12
Explanation: An alloy of 48oz which is 25% gold means there is 12 oz of gold. To get to an alloy that is 40% gold, let's use this expression: (12 + x)/(48 + x) = 0.40 with x representing the amount of pure gold that must be added to get to 40%. The expression we are using represents the new total weight of pure gold over the new total weight of the alloy and this fraction should represent 40% or 0.4. you will see that 12 is the correct answer, as 24/60=0.4
Choose C
Question: Can you find the missing number in the sequence given below?
10 16 22 11 17 ? 12 18 24 13 19 25
A.25
B.23
C.20
D.18
Answer: B.23
Explanation: Let's break the given series as below:
10 16 22
11 17 ?
12 18 24
13 19 25
Now read the number from left hand side from top to bottom as :
So the number that will replace '?' is 23
Answer : B
Question: A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 2340, what will be A's share of the earnings?
A.$1100
B.$520
C.$1040
D.$1170
Answer: C.$1040
Explanation: Explanatory Answer
A, B and C will share the amount of $2340 in the ratio of the amounts of work done by them.
As A takes 6 days to complete the job, if A works alone, A will be able to complete 1/6 th of the work in a day.
Similarly, B will complete 1/8th and C will complete 1/12th of the work.
So, the ratio of the work done by A : B : C when they work together will be equal to 1/6 : 1/8 : 1/12
Multiplying the numerator of all 3 fractions by 24, the LCM of 6, 8 and 12 will not change the relative values of the three values.
We get 24/6 : 24/8 : 24/12 = 4 : 3 : 2.
i.e., the ratio in which A : B : C will share $2340 will be 4 : 3 : 2.
Hence, A's share will be 4*2340/9 = 1040
correct choice is (C)
Question: For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 4 to n, inclusive. If p is the smallest prime factor of h(100) +4, then p is?
A.4
B.between 10 and 20
C.between 20 and 30
D.between 30 and 40
Answer: A.4
Explanation: h(100) will have 0 in its unit digit because while doing the calculation of the function we are multiplying by 100. So h(100)+4 will have 4 in the units digit so smallest prime factor is 4.
Answer: A
Question: Two numbers differ by 5. If their product is 336, then sum of two number is
A.33
B.34
C.36
D.37
Answer: D.37
Explanation: Explanation:
Friends you remember,
=>(x+y)2=(x−y)2+4xy
=>(x+y)2=(5)2+4(336)
=>(x+y)=1369−−−−√=37
Option D
Question: Which of the following numbers is between 1⁄3 and 1⁄2?
A..45
B..32
C..29
D..22
Answer: A..45
Explanation: Isn't it A?
1/3 = .33
1/2 = .50
The only answer between that is A, .45.