In this section, we will see some practice problems for 6th grade students.

Question 1 :

What is the successor of the number 1000906

(A) 1000907        (B) 1000905       (C) 100907

Solution :

Successor of a number, the number just after the given number.

Successor of 1000906 is 1000907.

Question 2 :

Find the sum of 13, 412, 687 and 908

(A) 2020      (B) 2000       (C) 1950

Solution :

Sum of 13, 412, 687 and 908  =  13 + 412 + 687 + 908

=  2020

Question 3 :

The population of a town is 450772. 1 out of every 14 persons is reported to be educated.In all, how many educated persons are there in the town.

(A) 32198        (B) 35000       (C) 14265

Solution :

Total population  =  450772

Number of educated persons  =  450772/14

=  32198

Hence the number of educated persons is 32198.

Question 4 :

The population of a village is 1500. If 489 are men and 472 are women and the remaining are children.Find the number of children.

(A) 539       (B) 530        (C) 129

Solution :

Number of children

=  Total number of people - (Number of men + Number of women)

=  1500 - (489 + 472)

=  1500 - 961

=  539

Hence the number of children are 539.

Question 5 :

Find the cube of -13.

(A) 2197       (B) -2197        (C) 169

Solution :

Cube of -13  =  (-13)3

=  -2197

Question 6 :

Simplify the following expression

30 - [15 - {6 + (18 - 14)}]

(A) 15        (B) 25          (C) 28

Solution :

=  30 - [15 - {6 + (18 - 14)}]

=  30 - [15 - (6+4)]

=  30 - [15 - 10]

=  30 - 5

=  25

Question 7 :

What is the largest 4 digit number?

(A) 4444     (B) 9999       (C) 8542

Solution :

The largest 4 digit number is 9999.

Question 8 :

HCF and LCM of two numbers are 5 and 280 respectively. If one of the number is 35, find the other number.

(A) 20         (B) 30         (C) 40

Solution :

Relationship between HCF and LCM.

HCF x LCM  =  Product of two numbers

HCF  =  5, LCM  =  280

One of the number  =  35

Let  be the unknown number.

5 x 280  =  35 ⋅ x

x  =  (5 ⋅ 280)/35

x  =  40

Question 9 :

An office opens at 9:00 a.m and closes at 5:30 p.m with a lunch interval of 30 minutes. What is the ratio of lunch interval to the total period in office.

(A) 1 : 17           (B) 17 : 1        (C) 1 : 15

Solution :

The time difference between 9 : 00 am to 5.30 pm is 8 hours 30 minutes.

8 hours  =  8 (60)  =  480 seconds

480 + 30  =  510 seconds

Ratio between the lunch interval and total period in office.

=  510 : 30

=  51 : 3

=  17 : 1

Question 10 :

Solve the equation x - 7  =  -15

(A) 4       (B) -8      (C) 15

Solution :

x - 7  =  -15

x  =  -15 + 7

x  =  -8

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