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17 Views

Question : What is the value of $\frac{0.1 \div 0.2 \times 0.3+0.4 \times 0.5 \div 0.1}{0.1 \times 0.2-0.01} ?$

Option 1: 220

Option 2: 210

Option 3: 216

Option 4: 215

Team Careers360 23rd Jan, 2024

Correct Answer: 215


Solution : Given: $\frac{0.1 \div 0.2 \times 0.3+0.4 \times 0.5 \div 0.1}{0.1 \times 0.2-0.01}$
= $\frac{\frac{0.1}{0.2} \times 0.3+0.4 \times \frac{0.5}{0.1}}{0.1 \times 0.2-0.01}$
= $\frac{\frac{1}{2} \times 0.3+0.4 \times \frac{5}{1}}{ 0.02-0.01}$
= $\frac{\frac{0.3}{2} +2 }{0.01}$
= $\frac{4.3}{0.02}$
= 215
Hence, the correct answer is 215.

93 Views

Question : The angle subtended by a chord OP on the circumference of a circle is 90°. If the diameter of the circle is 44 cm, then what will be the length of the chord OP?

Option 1: 44 cm

Option 2: 88 cm

Option 3: 66 cm

Option 4: 22 cm

Team Careers360 19th Jan, 2024

Correct Answer: 44 cm


Solution :

Given: OP = 44 cm
If an angle subtended by a chord on the circumference of a circle is 90°, then the chord is the diameter of the circle.
Hence, the correct answer is 44 cm.

44 Views

Question : The average of 15 numbers is 7. If the average of the first 8 numbers is 6.5 and the average of the last 8 numbers is 8.5, then the middle number is:

Option 1: 10

Option 2: 23

Option 3: 13

Option 4: 15

Team Careers360 25th Jan, 2024

Correct Answer: 15


Solution : Given:
Average of 15 results = 7
Average of first seven = 6.5
Average of last seven = 7.5
According to the question,
Sum of all results = 15 × 7 = 105
Sum of first seven results = 8 × 6.5 = 52
Sum

38 Views

Question : The average height of 40 sticks is 156 cm. Some sticks of average height 162 cm are taken out. If the new average height is 150 cm, how many sticks remain?

Option 1: 25

Option 2: 20

Option 3: 16

Option 4: 32

Team Careers360 18th Jan, 2024

Correct Answer: 20


Solution : The average height of 40 sticks is 156 cm.
Total height = 40 × 156 cm
Some sticks of average height 162 cm are taken out.
Let that number of sticks be $x$.
According to the question,
$40 × 156 -162x=150(40-x)$
$⇒6240-162x=6000-150x$
$⇒12x=240$
$\therefore x

17 Views

Question : Direction: In the given question, select the related letters from the given alternatives.

DLIP : FNKR :: JROV : ?

Option 1: MURY

Option 2: LTQX

Option 3: NVSZ

Option 4: KSPW

Team Careers360 21st Jan, 2024

Correct Answer: LTQX


Solution : Given:

DLIP : FNKR :: JROV : ?

Like, D + 2 = F; L + 2 = N; I + 2 = K; P + 2 = R

Similarly, J + 2 = L; R + 2 = T;

37 Views

Question : Directions: Select the term from among the given options that can replace the question mark (?) in the following series based on the English alphabetical order.
SLZ, PHW, ?, JZQ, GVN

Option 1: MDT

Option 2: NFS

Option 3: NES

Option 4: MFT

Team Careers360 21st Jan, 2024

Correct Answer: MDT


Solution : Given:
SLZ, PHW, ?, JZQ, GVN

In the above-given letter clusters, subtract 3 from the place value of the first and third letters and subtract 4 from the place value of the second letter to get the next term of the series.
SLZ→S – 3

134 Views

Question : Select the most appropriate option that can substitute the underlined words in the given sentence.
She has gone to the stationery store to buy a scissor.

Option 1: buying a pair of scissors

Option 2: buy a scissors

Option 3: buy a pair of scissors

Option 4: buy a pair of scissor

Team Careers360 24th Jan, 2024

Correct Answer: buy a pair of scissors


Solution : The correct choice is the third option.

Explanation: The sentence needs "a pair of scissors" because "scissors" is a plural noun. "Pair" is used to indicate two connected objects functioning together. The sentence means she's purchasing a tool with

9 Views

Question : The first grammarian of the Sanskrit language was

Option 1: Kalhana

Option 2: Maitreyl

Option 3: Kalidas

Option 4: Panini

Team Careers360 25th Jan, 2024

Correct Answer: Panini


Solution : The correct option is Panini.

Panini was the first grammarian of the Sanskrit language. The writings of Panini set the groundwork for the study of Sanskrit and had a significant impact on the growth of linguistic analysis and grammar throughout the world.

715 Views

Question : In a trapezium ABCD, AB and DC are parallel to each other with a perpendicular distance of 8 m between them. Also, AD = BC = 10 m, and AB = 15 m < DC. What is the perimeter (in m) of the trapezium ABCD?

Option 1: 50

Option 2: 66

Option 3: 62

Option 4: 58

Team Careers360 18th Jan, 2024

Correct Answer: 62


Solution :
⇒ AD = BC = 10 m
⇒ AB = EF = 15 m
⇒ AE = BF = 8 m
In $\triangle$ADE,
By Pythagoras theorem,
AD2 = AE2 + DE2
DE = $\sqrt{10^2-8^2}$ = $\sqrt{100-64}$ = $\sqrt{36}$ = 6 m

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