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Staff Selection Commission Sub Inspector Exam

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6 Views

Question : If $x=3 - 2\sqrt2$, then $\sqrt x+(\frac{1}{\sqrt x})$ is equal to:

Option 1: $0$

Option 2: $1$

Option 3: $2$

Option 4: $2\sqrt2$

Team Careers360 16th Jan, 2024

Correct Answer: $2\sqrt2$


Solution : Given:
$x = 3 - 2\sqrt{2}$
According to the question,
Let $y = \sqrt{x}+\frac{1}{\sqrt{x}}$
Squaring both sides,
$y^2 = x + \frac{1}{x}+2$
Put the value $x$,
$y^2 = 3 - 2\sqrt{2} + \frac{1}{3-2\sqrt{2}} + 2$
or, $y^2 = 3 - 2\sqrt{2} + \frac{1}{3-2\sqrt{2}} × \frac{3+\sqrt{2}}{3

10 Views

Question : Which Indian was awarded the Chiratae Ventures’ Patrick J. McGovern Lifetime Achievement Award in 2019?

Option 1: Narayana Murthy

Option 2: Uday Kotak

Option 3: Ratan Tata

Option 4: Shiv Nadar

Team Careers360 9th Jan, 2024

Correct Answer: Ratan Tata


Solution : The correct answer is Ratan Tata.

Ratan Tata, the renowned Indian industrialist and Chairman Emeritus of Tata Sons, received the Patrick J. McGovern Lifetime Achievement Award in 2019 from Chiratae Ventures (formerly IDG Ventures India). The award honours the legacy of Patrick Joseph

6 Views

Question : Directions: Select the option in which the given figure is embedded. (Rotation is NOT allowed)

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 21st Jan, 2024

Correct Answer:


Solution : Since there is a restriction on the rotation of the figure, we will check where the question figure can exactly fit itself in the given option figures.
By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.

8 Views

Question : Directions: In the following question, select the related number from the given alternatives.
103 : 10609 :: 106 : ?

Option 1: 10606

Option 2: 10306

Option 3: 11236

Option 4: 13636

Team Careers360 25th Jan, 2024

Correct Answer: 11236


Solution : Given:
103 : 10609 :: 106 : ?

1032 = 10609 (10609 is the square of 103)
Similarly, 1062 = 11236 (11236 is the square of 106)

Hence, the third option is correct.

13 Views

Question : People of ______ have hardly any idea of extremes of temperature and the seasonal rhythm of weather.

Option 1: Indore

Option 2: Mumbai

Option 3: Jaisalmer

Option 4: Lucknow

Team Careers360 20th Jan, 2024

Correct Answer: Mumbai


Solution : The correct option is Mumbai.

The people of Mumbai have hardly any idea of temperature extremes and seasonal rhythms due to its coastal location. The vast Arabian Sea is a temperature buffer, moderating highs and lows throughout the year. This results in a pleasantly

15 Views

Question : Directions: Select the option that will fill in the blank and complete the given series.
14, 17, 23, 32, 44, ______

Option 1: 59

Option 2: 54

Option 3: 69

Option 4: 56

Team Careers360 8th Jan, 2024

Correct Answer: 59


Solution : Given:
14, 17, 23, 32, 44, ______

Add the consecutive multiples of 3 to get the missing number in the series –
14 + 3 ×  1 = 17; 17 + 3 × 2 = 23; 23 + 3 × 3 = 32; 32 +

10 Views

Question : The area of a square and rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 10 cm and the breadth is less than 5 cm. The perimeter (in cm) of the rectangle is:

Option 1: 50

Option 2: 40

Option 3: 80

Option 4: 100

Team Careers360 21st Jan, 2024

Correct Answer: 50


Solution : Let $a$ be the side of the square and $l,b$ be the length and breadth of a rectangle.
$l = a + 10$
$b = a - 5$
Area of square = area of rectangle
$⇒a^2 = lb$
$⇒a^2 = (a+10)(a-5)$
$⇒a^2 = a^2 +

331 Views

Question : Directions: In a certain code language, YATCH is coded as 67 and DINE is coded as 40. How will MANGO be coded in that language?

Option 1: 57

Option 2: 60

Option 3: 62

Option 4: 65

Team Careers360 7th Jan, 2024

Correct Answer: 60


Solution : Given:
YATCH is coded as 67 and DINE is coded as 40.

Add the position value of the letters of the given word YATCH then add double the total number of letters in the word to obtain the required code –
Y→25; A→1; T→20; C→3;

44 Views

Question : A number, when divided by 729, gives a remainder of 56. What will we get as a remainder if the same number is divided by 27?

Option 1: 4

Option 2: 2

Option 3: 0

Option 4: 1

Team Careers360 14th Jan, 2024

Correct Answer: 2


Solution : Given:
The first number is 729.
The second number is 27.
The remainder after, dividing a number by 729, is 56.
Check if the first number is completely divisible or not by the second number.
$\frac{729}{27}$ = 27
Here, the first number is completely divisible

29 Views

Question : A and B can do a piece of work in 10 days. B and C can do it in 12 days. C and A in 15 days. In how many days will C finish it alone?

Option 1: 24 days

Option 2: 30 days

Option 3: 40 days

Option 4: 60 days

Team Careers360 25th Jan, 2024

Correct Answer: 40 days


Solution : Given: A and B can do a piece of work in 10 days.
B and C can do it in 12 days.
C and A can do it in 15 days.
1 day work of A and B = $\frac{1}{10}$ -------(1)
1 day work

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