Numerical Applications Test 47

Result

Numerical Applications Test 47

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

A group of students comprises of $$5$$ boys and $$n$$ girls. If the number of ways, in which a team of $$3$$ students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is $$1750$$, then $$n$$ is equal to

A
$$25$$

B
$$28$$

C
$$27$$

D
$$24$$

Solution

Number of ways of selecting a team with 1 boy and 2 girls$$=^{5}C_{1}. ^{n}C_{2} $$

Number of ways of selecting a team with 2 boy and 1 girls$$=^{5}C_{2} . ^{n}C_{1} $$

Given $$^{5}C_{1}. ^{n}C_{2} + ^{5}C_{2} . ^{n}C_{1} = 1750$$

$$5\cdot \dfrac {n(n-1)}{2!}+10\cdot n=1750$$

$$n^{2} + 3n = 700$$

$$\therefore n = 25$$.
Question 2
1 / -0

The number of four -digit numbers strictly grater than $$4321$$ that can be formed using the digits $$0,1,2,3,4,5$$ (repetition of digits is allowed) is:

A
$$288$$

B
$$306$$

C
$$360$$

D
$$310$$

Solution

(1) The number of four-digit numbers Strating with 5 is equal to $$6^3 = 216$$
(2) Starting with 44 and 55 is equal to $$36\times 2 = 72$$
(3) Starting with 433, 434 and 435 is equal to $$6\times 3 = 18$$
(4) Remaining numbers are 4322, 4323, 4324, 4325 is equal to 4
so total number are
$$716 + 72 + 18 + 4 = 310$$
Question 3
1 / -0

Let $$ x,y,z$$ be three observations. The mean of these observation is

A
$$\dfrac{x\times y \times z}{3}$$

B
$$\dfrac{x+y+z}{3}$$

C
$$\dfrac{x-y-z}{3}$$

D
$$\dfrac{x \times y+ z}{3}$$

Solution

We know that
$$\text{Mean}=\dfrac{\text{sum of observations}}{\text{number of observations}}$$

$$\therefore \text{ Mean}=\dfrac{x+y+z}{3}$$
Question 4
1 / -0

The mean of the first $$6$$ odd natural numbers is

A
$$5$$

B
$$5.5$$

C
$$6$$

D
$$6.5$$

Solution

First 6 odd natural numbers are:
$$1, 3, 5, 7, 9, 11$$
$$1 + 3 + 5 + 7 + 9 + 11$$
Mean $$= \dfrac{1 + 3 + 5 + 7 + 9 + 11}{6}$$
$$= \dfrac{36}{6} = 6$$
Question 5
1 / -0

Four alternative options are given for each of the following statement . Select the correct option .
The mean of score $$ 10 , 15 , 12 , 15 , 15 $$ is

A
$$ 15 $$

B
$$ 13 $$

C
$$ 13 . 4 $$

D
$$ 14 . 3 $$
Question 6
1 / -0

Four alternative options are given for each of the following statement . Select the correct option .
The mean of first three multiples of $$ 5 $$ is

A
$$ 5 $$

B
$$ 10 $$

C
$$ 15 $$

D
$$ 30 $$
Question 7
1 / -0

How many ways $$ 5 $$ persons can sit around the round table :

A
$$ 120 $$

B
$$ 24 $$

C
$$ 60 $$

D
$$ 12 $$

Solution

Total number of ways to sitting $$ 5 $$ persons around the round table.
$$ =(5-1)! = 4! $$
$$ = 4 \times 3 \times 2 \times 1 = 24 $$
hence option (B) is correct.
Question 8
1 / -0

A student got 85, 87 and 83 marks in Mathematics, Physics and Chemistry respectively. Mean of obtained marks.

A
86

B
84

C
85

D
85.5

Solution

Given marks: $$85,\ 87,\ 83$$

Mean of marks $$= \dfrac{\mathrm{Sum\ of\ marks}}{\mathrm{No.\ of\ subjects}}$$

$$= \dfrac{85+87+83}{3} $$

$$= \dfrac{255}{3}$$

$$ = 85$$
Question 9
1 / -0

53, 75, 42, 70 are marks obtained by 4 students is statistics. Arithmetic mean of their marks is:

A
42

B
64

C
60

D
56

Solution

Given marks = 53, 75, 42, 70
Arithmetic mean $$= \frac{Sum\ of\ observations}{No.\ of\ observations}$$
$$= \frac{53+75+42+70}{4}$$
$$= \frac{240}{4} = 60$$
Question 10
1 / -0

The mean of $$15, 0, 10, 5$$ will be :

A
$$15$$

B
$$10$$

C
$$5$$

D
$$7.5$$

Solution

The given number are $$15,0,10,5$$
The mean of a set of numbers is the sum divided by the number of terms.
Then, mean $$=\dfrac{15+0+10+5}{4}=\dfrac{30}{4}\\=7.5$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Numerical Applications Test 47

Result

Numerical Applications Test 47

Score

-

Rank

-

SHARING IS CARING

Question 1

$$25$$

$$28$$

$$27$$

$$24$$

Solution

Question 2

$$288$$

$$306$$

$$360$$

$$310$$

Solution

Question 3

$$\dfrac{x\times y \times z}{3}$$

$$\dfrac{x+y+z}{3}$$

$$\dfrac{x-y-z}{3}$$

$$\dfrac{x \times y+ z}{3}$$

Solution

Question 4

$$5$$

$$5.5$$

$$6$$

$$6.5$$

Solution

Question 5

$$ 15 $$

$$ 13 $$

$$ 13 . 4 $$

$$ 14 . 3 $$

Question 6

$$ 5 $$

$$ 10 $$

$$ 15 $$

$$ 30 $$

Question 7

$$ 120 $$

$$ 24 $$

$$ 60 $$

$$ 12 $$

Solution

Question 8

86

84

85

85.5

Solution

Question 9

42

64

60

56

Solution

Question 10

$$15$$

$$10$$

$$5$$

$$7.5$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.