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9 Views

Question : Directions: By interchanging the given two signs which of the following equations will be correct?
+ and ×

Option 1: 7 + 5 × 2 – 8 ÷ 4 = 36

Option 2: 95 ÷ 19 + 5 × 3 – 6 = 22

Option 3: 13 + 4 × 5 – 6 ÷ 2 = 51

Option 4: 4 × 3 + 6 – 7 ÷ 1 = 18

Team Careers360 25th Jan, 2024

Correct Answer: 95 ÷ 19 + 5 × 3 – 6 = 22


Solution : Let's check the options –
First option: 7 + 5 × 2 – 8 ÷ 4 = 36
On interchanging the given signs, the equation becomes –
⇒ 7 × 5 + 2 – 8

17 Views

Question : The Human Development Index was developed by:

Option 1: Amartya Sen

Option 2: Milton Friedman

Option 3: Mahbub ul Haq

Option 4: Montek Singh Ahluwalia

Team Careers360 25th Jan, 2024

Correct Answer: Mahbub ul Haq


Solution : The correct answer is Mahbub ul Haq.

The Human Development Index (HDI) was developed by the Pakistani economist Mahbub ul Haq. Every year the United Nations development program ranks countries based on the Human Development Index report. HDI is a kind of tool

161 Views

Question : If the simple interest on a certain sum of money is INR 11,220 at the rate of $16 \frac{1}{2} \%$ per annum for 8 years and 3 months, then what is the principal amount (in INR, rounded off to the nearest rupee)?

Option 1: 4,228

Option 2: 6,822

Option 3: 8,422

Option 4: 8,242

Team Careers360 25th Jan, 2024

Correct Answer: 8,242


Solution : Simple interest (SI)= $\frac{\text{Principal × Rate × Time}}{100}$
 SI = INR 11,220
Rate = $16\frac{1}{2}$ = $\frac{33}{2}$%
Time = 8 years 3 months = $8\frac{3}{12}$ = $8\frac{1}{4}$ = $\frac{33}{4}$
According to the question,
11220 = $\frac{\text{P×33×33}}{100×2×4}$
⇒ P = $\frac{11220×800}{1089}$
= $\frac{8976000}{1089}$
= 8242.424
=

18 Views

Question : Directions: If $\sqrt{AFI}\ :\ 13\ ::\ \sqrt{DDA}\ :\ ?$

Option 1: 12

Option 2: 22

Option 3: 21

Option 4: 24

Team Careers360 25th Jan, 2024

Correct Answer: 21


Solution : Given:
If $\sqrt{AFI}\ :\ 13\ ::\ \sqrt{DDA}\ :\ ?$

The position values of A, F, and I are 1, 6, and 9 respectively.
On combining the place values, we get 169.
Now, $\sqrt{169}\ =\ 13$
Thus, $\sqrt{AFI}$ is coded as 13.
Similarly, follow the same

12 Views

Question : Directions: Shown below is a multiple bar diagram depicting the changes in the roll strength of a college in four faculties from 2001–02 to 2003–04.Study the above bar diagram and answer the question.

Arts

Science

Law

Commerce

The percentage of students in law faculty in 2003-04 is:

Option 1: 14.8%

Option 2: 18.5%

Option 3: 15.6%

Option 4: 16.7%

Team Careers360 25th Jan, 2024

Correct Answer: 15.6%


Solution : $\text{We have}$

$\text{Number of students in Law in 2003 - 04 = 250}$

$\text{Total Number students in 2003-04 = 1600 (by adding all students in 2003-04)}$

$\text{Percentage Change =}\frac{\text{Number of students in Law in 2003 - 04 }}{\text{Total Number of students in 2003-04}}\times100$

$\text{Percentage Change

27 Views

Question : Directions: Pranav went 10 kilometres to the north. Then he turned West and covered 10 kilometres. Then he turned south and covered 5 kilometres. Finally, he turned to the east and covered 10 kilometres. In which direction is he from the starting point?

Option 1: South

Option 2: North

Option 3: East

Option 4: West

Team Careers360 25th Jan, 2024

Correct Answer: North


Solution : Firstly, we will draw the diagram as per the given instructions –


Here, A is the starting point and D is the end point of Pranav.

So, Pranav is in the north direction from the starting point. Hence, the second option is correct.

15 Views

Question : If the distance between the centres of two circles is 12 cm and the radii are 5 cm and 4 cm, then the length (in cm) of the transverse common tangent is:

Option 1: $9$

Option 2: $\sqrt{143}$

Option 3: $\sqrt{63}$

Option 4: $7$

Team Careers360 25th Jan, 2024

Correct Answer: $\sqrt{63}$


Solution : Given, the distance between the centres of two circles is 12 cm ($d$) and the radii are 5 cm ($r_1$) and 4 cm ($r_2$).
Length of the transverse common tangent line to the circle
= $\sqrt{d^2-(r_1+r_2)^2}$
= $\sqrt{12^2-(5+4)^2}$
= $\sqrt{144-81}$
​​​​​​= $\sqrt{63}\ \text{cm}$
Hence, the

5 Views

Question : Sixteen years ago, my grandfather was 9 times older than me. Eight years from now, he will be 3 times my age. Determine the ratio of my age to my grandfather's age eight years ago.

Option 1: 3 : 8

Option 2: 2 : 5

Option 3: 1 : 2

Option 4: 1 : 5

Team Careers360 25th Jan, 2024

Correct Answer: 1 : 5


Solution : 16 years ago, let my age and my grandfather's age be $x$ years and $9x$ years respectively.
According to the question,
$9x+16+8=3(x+16+8)$
⇒ $9x+24=3x+48+24$
⇒ $6x=48$
⇒ $x=8$
Required ratio 8 years ago,
= $(x+8):(9x+8)$
= (8 + 8) : (9 × 8

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