Straight Lines Test 30

Result

Straight Lines Test 30

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Weekly Quiz Competition

Question 1
1 / -0

If $$9@ 3 = 12, 15 @ 4 = 22, 16 @ 14 = 4$$, then what is the value of $$6 @ 2 = ?$$

A
$$26$$

B
$$1$$

C
$$30$$

D
$$8$$

Solution

$$(9 - 3) \times 2 = 12, (15 - 4) \times 2$$
$$= 22, (16 - 14) \times 2 = 4$$
Hence, $$(6 - 2) \times 2 = 8$$.
Question 2
1 / -0

5 2 7
? 3 1
4 5 2
-15 7 13
Select the missing number from the given alternatives.

A
$$1$$

B
$$5$$

C
$$9$$

D
$$7$$

Solution

Columnwise
First Number x Third Number - Second Number = Lowermost Number

First Column
$$5 \times 4 - ? = 15 \Rightarrow 20 - ? = 15$$
$$\therefore ? = 20 - 15 = 5$$

Second Column
$$ 2 \times 5 - 3 = 10 - 3 = 7$$

Third Column
$$ 7 \times 2 - 1 = 14 - 1 = 13$$
Question 3
1 / -0

Select the missing number from the given alternatives.
$$3$$ $$4$$ $$2$$ $$14$$
$$6$$ $$5$$ $$4$$ $$44$$
$$5$$ $$2$$ $$7$$ ?

A
$$58$$

B
$$14$$

C
$$49$$

D
$$4$$

Solution

$$3\times 2 + 4\times 2 = 6 + 8 = 14$$
$$6\times 4 + 5\times 4 = 24 + 20 = 44$$
Hence, $$5\times 7 + 2 \times 7 = 35 + 14 = 49$$.
Question 4
1 / -0

Directions for questions 1 to 3: Find the related word/ letters/numbers from given alternatives.
12:72::8:?

A
36

B
32

C
38

D
40

Solution

12 $$\times \, \frac{12}{2}$$ = 72 similarly, 8 $$\times \, \frac{8}{2}$$ = 32
Question 5
1 / -0

If $$12\times 16 = 188$$ and $$14\times 18 = 248$$, then find the value of $$16\times 20 = ?$$

A
$$320$$

B
$$360$$

C
$$316$$

D
$$318$$

Solution

$$12\times 16 = 192 - 4 = 188$$
$$14\times 18 = 252 - 4 = 248$$
$$16\times 20 = 320 - 4 = 316$$.
Question 6
1 / -0

Select the missing number from the given alternatives.

A
110

B
115

C
121

D
54

Solution

48 $$\div$$ 2 = 24;
24 $$\times$$ 3 = 72: 72 $$\div$$ 2 = 36;
36 $$\div$$ 3 = 108; 108 $$\div$$ 2 = 54.
Question 7
1 / -0

Choose the correct answer from the alternatives given.
If $$1^2+2^2$$ +.... + $$x^2$$ = $$\frac{x(x + 1)(2x + 1)}{6}$$then $$1^2$$ + $$3^2$$+ $$5^2$$ + .... + $$19^2$$ is equal to

A
$$1330$$

B
$$2100$$

C
$$2485$$

D
$$2470$$

Solution

$$(1^2+3^2+5^2+...........+19^2)$$
= $$\displaystyle\, $$(1^2$$ \, + \, $$2^2$$ \, + \, $$3^2$$ \, + \, ........... \, + \, 20^2) \, - \, (2^2 \, + \, 4^2 \, + \, 6^2 \, + \, ........... \, + \, 20^2)$$
= $$\displaystyle\, (1^2 \, + \, 2^2 \, + \, 3^2 \, + \, .......... \, + \, 20^2) - 4(1 \, + \, 2^2 \, + \, 3^2 \, + \, .......... \, + \, 10^2)$$
Using the formula,
$$\displaystyle\, = \frac{20 \times 21 \times 41}{6} - 4 \left ( \frac{10 \times 11 \times 21}{6} \right ) = 2870 - 1540 = 1330$$
Question 8
1 / -0

Choose the correct answer alternatives given.
Select the missing number from the given alternatives.

A
18

B
21

C
5

D
17

Solution

80 = 8 $$\times$$ (8 + 2)
143 = 11 $$\times$$ (11 + 2)
323 = ? $$\times$$ (? + 2)
$$\therefore$$ ? = 17
Question 9
1 / -0

If $$1^{3} + 2^{3} + .... + 10^{3} = 3025$$, then the value of $$2^{3} + 4^{3} + ..... + 20^{3}$$ is

A
$$7590$$

B
$$5060$$

C
$$24200$$

D
$$12100$$

Solution

Given that, $$1^{3} + 2^{3} + .... + 10^{3} = 3025$$
Now, $$2^{3} + 4^{3} + .... + 20^{3}$$
$$= 2^{3} (1 + 2^{3} + .... + 10^{3}) = 8\times 3025 = 24200$$.
Question 10
1 / -0

Arrange these numbers in ascending order.
$$756, 567, 657, 676$$

A
$$657, 567, 756, 676$$

B
$$567, 657, 676, 756$$

C
$$756, 676, 657, 567$$

D
$$676, 756, 567, 657$$

Solution

$$\Rightarrow$$ Numbers are said to be in ascending order when they are arranged from the smallest to the largest number.
$$\Rightarrow$$ The numbers which we have to arrange in ascending order are $$756,\,567,\,657$$ and $$676$$
$$\Rightarrow$$ $$567<657<676<756$$
$$\therefore$$ Ascending order $$=567,\,657,\,676,\,756$$

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Re-Attempt Weekly Quiz Competition

5	2	7
?	3	1
4	5	2
-15	7	13

$$3$$	$$4$$	$$2$$	$$14$$
$$6$$	$$5$$	$$4$$	$$44$$
$$5$$	$$2$$	$$7$$	?

Straight Lines Test 30

Result

Straight Lines Test 30

Score

-

Rank

-

SHARING IS CARING

Question 1

$$26$$

$$1$$

$$30$$

$$8$$

Solution

Question 2

$$1$$

$$5$$

$$9$$

$$7$$

Solution

Question 3

$$58$$

$$14$$

$$49$$

$$4$$

Solution

Question 4

36

32

38

40

Solution

Question 5

$$320$$

$$360$$

$$316$$

$$318$$

Solution

Question 6

110

115

121

54

Solution

Question 7

$$1330$$

$$2100$$

$$2485$$

$$2470$$

Solution

Question 8

18

21

5

17

Solution

Question 9

$$7590$$

$$5060$$

$$24200$$

$$12100$$

Solution

Question 10

$$657, 567, 756, 676$$

$$567, 657, 676, 756$$

$$756, 676, 657, 567$$

$$676, 756, 567, 657$$

Solution

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