Question 1

7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty 9 sitting chairs, how many chairs would have been still empty if everyone in the hall was sitting?

Accepted Answer

10

Question 2

In the given numbers, if in each number first digit is replaced by the third digit, second digit is replaced by the first digit and third digit is replaced by the second digit then which number will be the biggest ? 653 749 872 933 541

Accepted Answer

749

Question 3

0 divided by 0

Accepted Answer

Indeterminate are those,which mathematics can’t determine. Because we don’t actually know which one is the exact answer for this due to having lots of results for this. Explanation:: Let us think by this analogy that, 0 / 1 = 0 0 / 2 = 0 ………… ……….. we can say 0 / n = 0 from this we can write, 0/0 = 0 Again, another analogy,(from limiting concept of 1/0 = infinity) 1 / 0 = +∞ or -∞ 2 /0 = +∞ or -∞ ……… .……. we can say 0 / 0 = ∞ Again, another analogy, 1 / 1 = 1 2/2 = 1 .…….. ……….. we can say, 0/0 = 1 Now, you see it’s confusing. Every analog is mathematically correct then which one is the right answer for 0/0. Therefore Mathematics can’t determine this fact. So, 0/0 is indeterminate.

Question 4

Rajitha has a calculator, which has 10 digits. She want to clean the calculator by removing all the keys and while reassembling it, she interchanged the locations of 3 pairs of keys. For example, if she placed the key ‘3’ in the place of the key ‘7’…

Accepted Answer

0 1 2 3 4 5 6 7 8 9 0 1 4 8 2 6 5 7 3 9 Here pairs interchanged are 2, 4 3, 8 5, 6 Unchanged are 0, 1, 7, 9

Question 5

Negative divided by Negative

Accepted Answer

We know the Mathematical rules that + + = + + - = - - + = - - - = +

Question 6

If the positions of the first and the fifth digits of the number 14278359 are interchanged, similarly the positions of the second and the sixth digits are interchanged and so on, then which of the following will be the second digit from the right en…

Accepted Answer

Given number is 14278359 As given 1st and 5th digits, 2nd & 6th, 3rd & 7th and 4th & 8th digits are to to be interchanged. Therfore, the rearranged number is 83591427 Then, the second digit from the right end is 2.

Question 7

There are 6561 balls are there out of them 1 is heavy. Find the minimum number of times the balls have to be weighted for finding out the heavy ball ?

Accepted Answer

Suppose there are 9 balls Let us give name to each ball B1 B2 B3 B4 B5 B6 B7 B8 B9 Now we will divide all the balls into 3 groups. Group1 - B1 B2 B3 Group2 - B4 B5 B6 Group3 - B7 B8 B9 Step1 - Now weigh any two groups. Let's assume we choose Group1 on left side of the scale and Group2 on the right side. So now when we weigh these two groups we can get 3 outcomes. Weighing scale tilts on left - Group1 has a heavy ball. Weighing scale tilts on right - Group2 has a heavy ball. Weighing scale remains balanced - Group3 has a heavy ball. Lets assume we got the outcome as 3. i.e Group 3 has a heavy ball. Step2 - Now weigh any two balls from Group3. Lets assume we keep B7 on left side of the scale and B8 on right side. So now when we weigh these two balls we can get 3 outcomes. Weighing scale tilts on left - B7 is the heavy ball. Weighing scale tilts on right - B8 is the heavy ball. Weighing scale remains balanced - B9 is the heavy ball. The conclusion we get from this Problem is that each time weigh. We element 2/3 of the balls. As we came to conclusion that Group3 has the heavy ball from Step1, we remove 6 balls from the equation i.e (2/3) of 9. Simillarly we do the ame thing for the Step2. Now going with this conclusion. We have 6561 balls. Step - 1 Divided into 3 groups Group1 - 2187Balls Group2 - 2187Balls Group3 - 2187Balls Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball. Step - 2 Divided into 3 groups Group1 - 729Balls Group2 - 729Balls Group3 - 729Balls Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball. Step - 3 Divided into 3 groups Group1 - 243Balls Group2 - 243Balls Group3 - 243Balls Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball. Step - 4 Divided into 3 groups Group1 - 81Balls Group2 - 81Balls Group3 - 81Balls Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball. Step - 5 Divided into 3 groups Group1 - 27Balls Group2 - 27Balls Group3 - 27Balls Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball. Step - 6 Divided into 3 groups Group1 - 9Balls Group2 - 9Balls Group3 - 9Balls Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball. Step - 7 Divided into 3 groups Group1 - 3Balls Group2 - 3Balls Group3 - 3Balls Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball. Step - 8 So now when we weigh 2 balls out of 3 we can get 3 outcomes. Weighing scale tilts on left - left side placed is the heavy ball. Weighing scale tilts on right - right side placed is the heavy ball. Weighing scale remains balanced - remaining ball is the heavy ball. So the general answer to this question is, it is always multiple of 3 steps. For 9 balls 3 2 = 9. therefore 2 steps For 6561 balls 3 8 = 6561 therefore 8 steps

Question 8

What is the place value of 0 in 103?

Accepted Answer

The place value of 0 in 103 is given by the product of digits place in the number and the digit. Here 0 is in 10's place in 103 => 0 x 10 = 0. Hence, The place value of 0 in 103 = 0.

Question 9

Aptitude tests are designed to measure

Accepted Answer

Aptitude tests measures an individual's level of competency to perform a certain type of task and their mental and physical potentials in dealing different situations. These tests include General reasoning, Verbal comprehension, Perceptual speed and numerical operations.

Question 10

If 9 * 2 * 5 = 23 and 1 * 4 * 8 = 29, then 1 * 6 * 3 = ?

Accepted Answer

19

Question 11

Which is called 'OFF State' in binary?

Accepted Answer

'0' is called OFF State in Binary...

Question 12

How much does a gallon of water weigh?

Accepted Answer

1 Gallon = 3.785 kgs Gallon is a unit of measurement of liquid. We know that 1 gallon = 3.785 liters But we know that, 1 cubic meter = 1000 lit or 1000 kgs => 1 lit = 1 kg Hence, 1 gallon = 3.785 lit = 3.785 kgs.

Question 13

What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks ?

Accepted Answer

3

Question 14

Two old friends, Jack and Bill, meet after a long time. Jack: Hey, how are you man? Bill: Not bad, got married and I have three kids now Jack: That’s awesome. How old are they? Bill: The product of their ages is 72 and the sum of their ages is the s…

Accepted Answer

Let’s break it down. The product of their ages is 72. So what are the possible choices? 2, 2, 18 – sum(2, 2, 18) = 22 2, 4, 9 – sum(2, 4, 9) = 15 2, 6, 6 – sum(2, 6, 6) = 14 2, 3, 12 – sum(2, 3, 12) = 17 3, 4, 6 – sum(3, 4, 6) = 13 3, 3, 8 – sum(3, 3, 8 ) = 14 1, 8, 9 – sum(1,8,9) = 18 1, 3, 24 – sum(1, 3, 24) = 28 1, 4, 18 – sum(1, 4, 18) = 23 1, 2, 36 – sum(1, 2, 36) = 39 1, 6, 12 – sum(1, 6, 12) = 19 The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now. 2, 6, 6 – sum(2, 6, 6) = 14 3, 3, 8 – sum(3, 3, 8 ) = 14 Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.

Question 15

Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ?

Accepted Answer

x – y = 5 4x – 6y = 6 x = 12 y = 7

Question 16

17 tens in unit form?

Accepted Answer

Firstly 17 tens = 17 x 10 = 170 17 tens = 170 in unit form can be written as 1 hundred, 7 tens, 0 ones.

Question 17

A chord that passes through the center of a circle is

Accepted Answer

diameter

Question 18

Which of the following is a Composite number?

Accepted Answer

Here in the given numbers 91 is a Composite number. Since it has factors of 7 and 13 other than 1 and itself. Composite Numbers : A composite number is a positive integer which is not prime (i.e., which has factors other than 1 and itself). Examples :: 4, 6, 8, 12, 14, 15, 18, 20, ...

Question 19

What are the Multiples of 18?

Accepted Answer

The Multiples of 18 are 18, 36, 54, 72, 90, 108, 126, .... Multiples of 18 are nothing but numbers which are divisible by 18 leaving remainder 0. An infinite number of multiples of 18 can be achieved by adding 18 to each subsequent multiple.

Question 20

A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and …

Accepted Answer

Clearly, while counting the numbers associated to the thumb will be 1,9,17,25,......... i.e., numbers of the form (8n + 1 ). where n=1,2,3... Since 1994 = 249 × 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger and 1995 to the middle finger.

Arithmetic Reasoning Questions