Q: What is the value of 62 tens?

Here in the question it is asked that 62 tens, which implies ten times of 62. => 62 x 10 = 620. Hence, the value of 62 tens = 620.

Question 1

When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ?

Accepted Answer

5% - 2% = 3% => 3% ------ 5 million bags 100% ---- ? => 166 2/3 million bags.

Question 2

Every rational number is an integer.

Accepted Answer

Any integer 'i' can be written as i = i/1, which is a rational number. Clearly, 7/2,-5/4, etc... are rational numbers but they are not integers. Hence, from the above analysis, every integer is a rational number but a rational number need not be an integer. Therefore the given statement that 'Every rational number is an integer' is FALSE.

Question 3

3 divided by 1/3?

Accepted Answer

3 divided by 1/3 => 3 1 3 = 3 x 3/1 = 9

Question 4

If 200 cats kill 200 mice in 200 days, then 8 cats would kill 8 mice in how many days ?

Accepted Answer

As given 200 cats kill 200 mice in 200 days 1 cats kill 1 mouse in 200 days Then 8 cats kill 8 mice in 200 days.

Question 5

Virus doubles every 3 mins. It is 'K' in 1 hour, when was it K/4 ?

Accepted Answer

If virus is K in 1hr i.e 60 min then in 57 min it was K/2 as it doubles every 3 minutes => In 54 min it was K/4. At 54 minutes it was K/4.

Question 6

O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

Accepted Answer

As clear from the figure itself, triangle OQX and triangle O'PX are similar. So, OQ/O'P = OX/O'X => OX = (7/9)xO'X And since, OX + O'X = 20 => (7/9)xO'X + O'X = 20 => O'X = 45/4

Question 7

The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:

Accepted Answer

Then, A:B = 2:3 and B:C = 5:8 = (5 x 3/5) : (8 x 3/5) = 3:24/5 A:B:C = 2:3:24/5 = 10:15:24 => B = 98 x 15/49 = 30.

Question 8

If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true ?

Accepted Answer

x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3) As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5) As (√10 + 3) > (√8 + √7) > (√6 + √5) z < x < y.

Question 9

What is the value of 62 tens?

Accepted Answer

Here in the question it is asked that 62 tens, which implies ten times of 62. => 62 x 10 = 620. Hence, the value of 62 tens = 620.

Question 10

How many joins require for 5 tables to join straight?

Accepted Answer

To join 5 tables we require 4 joins.

Question 11

There are n boxes and m fruits. If we put 3 fruits in each box 3 fruits will be excess. If we put 4 fruits in each box 1 box will be excess. Find number of boxes and fruits ?

Accepted Answer

7 boxes & 24 Balls. Let, n = No. of boxes ; m = No. of fruits 3n+3 = m---------->(1) 4(n-1)= m---------->(2) =>4n-4 = 3n+3; =>4n-3n = 4+3 n = 7 Put n=7 in eqn(1) => 3(7)+3 = m 21+3 = m m = 24; Number of boxes = 7 and fruits = 24

Question 12

The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is ?

Accepted Answer

Arithmatic mean = sum/members => (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7) => 140/28 = 5

Question 13

Which statement best compares a line and a point?

Accepted Answer

A point has no dimension and a line has one dimension is the statement that best compares a line and a point.

Question 14

Every integer is a rational number.

Accepted Answer

Yes, Every integer is a rational number. A rational number is a number which can be expressed as a ratio of two integers numerator and denominator where (the denominator not being 0 ). Hence, Every integer can be expressed in ratio of two integers.

Question 15

There are two examinations rooms P and Q. If 10 students are sent from P to Q, then the number of students in each room is the same. If 20 candidates are sent from Q to P, then the number of students in P is double the number of students in Q. The n…

Accepted Answer

If 'k' is number of students in P and 'l' is number of students in Q, then From the given conditions, we have => k - 10 = l + 10 .......(1) => k + 20 = 2(l - 20) ....(2) Solving these eqns, we get k = 100 and l = 80. Therefore, number of students in class Q is 80.

Question 16

On sport’s day, if 12 children were made to stand in each column, 98 columns could be formed. After a certain music being played the plan was that the children have to stand in concentric circles such that the innermost circle will have one student,…

Accepted Answer

No. of students will be 98 x 12 = 1176 let us consider n circles then 1 + 2 + 3 + ....+ n = 1176 n(n+1)/2 = 1176 n = 48 circles.

Question 17

Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ?

Accepted Answer

First ten odd numbers form an arithmetic progression of the form 1,3,5,7,9...... here a = first term = 1 d = common difference = 2 Average of first n numbers = (2a + (n - 1)d)/2 n th term of the AP = a + (n - 1)d Substituting a = 1, d = 2 and n = 10 in the above formulas average of first 10 numbers = 10 10 th term of the AP = 19 Therefore average of first 10 terms is 19 - 10 = 9 greater than the last term. Hence the average is greater than the sum by 9/19 X 100 = 900/19 %

Question 18

In a street, there are certain number of houses. People in that street are decided to paint their houses with certain colours. If four houses are painted with each colour, then one house will be left without any colour. If five houses are painted wi…

Accepted Answer

Let x be number of houses and y be colors. on the basis of question x = 4y+1 x = 5(y-1) on solving these 2 equations x = 25

Question 19

There are five bags. In the first bag we put some fruits. Each bag the number of fruits is reduced by 1/4. The last bag contains 4. Then the number of fruits in the first bag is ?

Accepted Answer

Fruits reduced by 1/4. Total no. of bags N = 5 Formula to find no. of fruits in 1st bag = 4^n Last Bag = 4 fruits. That means, 4th bag = 4 x 4 = 16 fruits 3rd bag = 16 x 4 = 64 fruits 2nd bag = 64 x 4 = 256 fruits 1st bag = 256 x 4= 1024 fruits.

Question 20

If in an A.P series 18th term is 29 and 29th term is 18. Then find the 49th term ?

Accepted Answer

We know that in A.P series 18th term = a + 17d 29th term = a + 28d But given a + 17d = 29..........(i) a + 28d = 18......... (ii) Solving equation (i) and (ii), we get d = -1 put d = -1 in any of the above equations and we get, a = 46 Now, we know 49th term can be written as, a + 48d putting the value of a and d in the above equation, a + 48d = 46 + 48(-1) = 46 - 48 = -2 Hence, the 49th term is -2.

Arithmetic Reasoning Questions