All Questions

Staff Selection Commission Combined Graduate Level Exam

Follow
Showing 7831 - 7840 out of 16734 Questions
17 Views

Question : If $A =(\frac{1}{0.4})+(\frac{1}{0.04})+(\frac{1}{0.004})+....$ upto 8 terms, then what is the value of $A$?

Option 1: 27272727.5

Option 2: 25252525.5

Option 3: 27777777.5

Option 4: 25555555.5

Team Careers360 19th Jan, 2024

Correct Answer: 27777777.5


Solution : Given: $ A =(\frac{1}{0.4})+(\frac{1}{0.04})+(\frac{1}{0.004})+....$ upto 8 terms.
This expression can be written as:
$⇒ A =(\frac{10}{4})+(\frac{100}{4})+(\frac{1000}{4})+(\frac{10000}{4})+(\frac{100000}{4})+(\frac{1000000}{4})(\frac{10000000}{4})+(\frac{100000000}{4})$
Using the formula, $S_n = \frac{a(r^n-1)}{r-1}$, where $a$ = first term, $r$ = common ratio, $n$ = number of terms
$10 + 100 + 1000+ .............+ 100000000 = \frac{10(10^8-1)}{10-1}=111111110$

10 Views

Question : Kosala Mahajanapada (6th century BCE) is a part of modern-day

Option 1: Maharashtra

Option 2: Haryana

Option 3: Madhya Pradesh

Option 4: Uttar Pradesh

Team Careers360 24th Jan, 2024

Correct Answer: Uttar Pradesh


Solution : The correct option is Uttar Pradesh.

Kosala Mahajanapada, an ancient Indian kingdom flourishing in the 6th century BCE, was one among the sixteen pivotal political and cultural centres of ancient India known as Mahajanapadas. Situated in the northern expanse of the Indian subcontinent,

20 Views

Question : A can do a piece of work in 20 days and B in 15 days. With the help of C, they finish the work in 5 days. C can alone do the work in:

Option 1: 5 days

Option 2: 6 days

Option 3: 10 days

Option 4: 12 days

Team Careers360 14th Jan, 2024

Correct Answer: 12 days


Solution : Given: A alone can do the work in 20 days.
B alone can do the work in 15 days.
A, B, and C together finish the work in 5 days.
Let C alone finish the work in $x$ days.
As per given conditions,
⇒

132 Views

Question : Which scientist suggested that the magnet must also exert an equal and opposite force on the current-carrying conductor?

Option 1: Michael Faraday

Option 2: André-Marie Ampère

Option 3: Joseph Henry

Option 4: William Gilbert

Team Careers360 23rd Jan, 2024

Correct Answer: André-Marie Ampère


Solution : The correct answer is André-Marie Ampère.

André-Marie Ampère, a French scientist, proposed that a magnet should exert an equal and opposite force on a current-carrying conductor. A wire carrying current has its magnetic field. A current-carrying wire like a regular bar magnet, attracts a

204 Views

Question : Two friends, P and Q, start running around a circular track from the same point. They run in the same direction. P runs at 6 m/sec and Q runs at b m/sec. If they cross each other at exactly two points on the circular track and b is a natural number less than 6, how many values can b take?

Option 1: 2

Option 2: 1

Option 3: 4

Option 4: 3

Team Careers360 22nd Jan, 2024

Correct Answer: 1


Solution : If the ratio of their speeds is $V_1:V_2$, the distinct meeting points will be $V_1-V_2$, with both are running in the same direction. Try different values of $b$ from 1 to 5 and check which satisfies $V_1-V_2 = 2$
$\frac{V_1}{V_2}=\frac{6}{b}$; number of points is 2

7 Views

Question : A village canal can be cleaned by 24 villagers in 12 days. The number of days in which 36 villagers can clean the canal is:

Option 1: 18

Option 2: 8

Option 3: 72

Option 4: 16

Team Careers360 19th Jan, 2024

Correct Answer: 8


Solution : Let the work be $x$ and the same for both cases. By using the formula: $\frac{M_1×T_1}{W_1}=\frac{M_2×T_2}{W_2}$ Where $M_1$ and $M_2$ are men, $D_1$ and $D_2$ are days and $W_1$ and $W_2$ are work done.
According to the question,
$\frac{24×12}{x}=\frac{36×T_2}{x}$
⇒ $T_2=\frac{24×12}{36}$
⇒ $T_2=8$ days
Hence,

13 Views

Question : A and B together can do a piece of work in 12 days, while A alone can do the same work in 30 days. B alone can do it in:

Option 1: 18 days

Option 2: 20 days

Option 3: 15 days

Option 4: 22 days

Team Careers360 22nd Jan, 2024

Correct Answer: 20 days


Solution :  Given:
Time taken by A and B together to complete the work = 12 days
⇒ Part of work done by A and B in a day = $\frac{1}{12}$
Time taken by A alone to complete the work = 30 days
⇒ Part of

The question have been saved in answer later, you can access it from your profile anytime. Access now