Sequences and Series Test 46

Result

Sequences and Series Test 46

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

How many Pythagorean triangles are there with integer sides and one leg is Ramanujan Number 1729 .

A
$$10$$

B
$$11$$

C
$$12$$

D
$$13$$

E
None
Question 2
1 / -0

Find the missing number, if a certain rule is followed
$$1$$ $$9$$ ?
$$2$$ $$12$$ $$14$$
$$3$$ $$117$$ $$105$$
either row-wise or column-wise.

A
$$7$$

B
$$8$$

C
$$11$$

D
$$9$$

Solution
Question 3
1 / -0

Direction: In a given question, one number is missing in the series. you have to understand the pattern of the series and insert the number
JN 28 27 GP
CE 12 45 TU
LR ? ? MS

A
$$34, 36$$

B
$$35, 35$$

C
$$30, 32$$

D
$$30, 41$$
Question 4
1 / -0

The number of the three digits numbers having only two consecutive digits identical is:

A
153

B
160

C
180

D
161

Solution
Question 5
1 / -0

$$10$$ IIT and $$2$$ NIT students sit at random in a row, and then number of ways in which exactly $$3$$ IIT students sit between $$2$$ NIT students is

A
$$16\times 10!$$

B
$$15\times 10!$$

C
$$10\times 16!$$

D
$$None\ of\ these$$

Solution
Question 6
1 / -0

The area of the triangle whose co-ordinates are $$(2012, 7), (2014, 7)$$ and $$(2014, a)$$ is $$1 \,sq$$ unit. The sum of possible values of $$a$$ is

A
$$6$$

B
$$8$$

C
$$14$$

D
$$16$$

Solution
Question 7
1 / -0

If $$ '-'$$ denotes $$'\div ',\ '\div '$$ denotes $$'\times ',\ '+'$$ denotes' - 'and $$'\times '$$ denotes $$'+'$$, then find the value of $$116+9\div 52-4\times 5$$.

A
$$16$$

B
$$8$$

C
$$9$$

D
$$4$$

Solution

$$-$$ denoted $$\div$$
$$\div$$ denoted $$\times $$
$$+$$ denoted $$-$$
$$\times $$ denoted $$+$$ $$\boxed{BODMAS}$$
$$116+9\div 52-4\times 5$$
$$116-9\times 52\div 4+5$$
$$116-9\times 13+5$$
$$116-117+5$$
$$116-112=4$$
Question 8
1 / -0

If $$n\ \in\ N$$ & $$n$$ is even, then $$\dfrac {1}{1\ .\ (n-1)\ !}+\dfrac {1}{3\ !(n-3)\ !}+\dfrac {1}{5\ !\ (n-5)\ !}+....+\dfrac {1}{(n-1)\ !\ 1\ !}=$$

A
$$2^{n}$$

B
$$\dfrac {2^{n-1}}{n\ !}$$

C
$$2^{n}n\ !$$

D
$$none\ of\ these$$

Solution
Question 9
1 / -0

$$40280625, 732375, 16275, 465, 18.6, 1.24,?$$

A
$$0.248$$

B
$$0.336$$

C
$$0.424$$

D
$$0.512$$

E
$$0.639$$

Solution

$$40280625, 732375,16275,465,18.6,1.24$$
$$\cfrac{40280625}{732375}=55$$
$$\cfrac{732375}{16275}=45$$
$$\cfrac{16275}{465}=35$$
$$\cfrac{465}{18.6}=25$$
$$\cfrac{18.6}{1.24}=15$$
$$\cfrac{1.24}{x}=5$$
$$x=0.248$$
Question 10
1 / -0

$$435, 354, 282, 219, 165, ?$$

A
$$103$$

B
$$112$$

C
$$120$$

D
$$130$$

E
$$none\ of\ these$$

Solution

$$\therefore 165-45=x$$
$$x=120$$.