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Staff Selection Commission Combined Graduate Level Exam

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Question : Susan can type 12 pages in 6 minutes. Mary can type 6 pages in 12 minutes, working together, how many pages can they type in 32 minutes?

Option 1: 80

Option 2: 65

Option 3: 70

Option 4: 75

Team Careers360 24th Jan, 2024

Correct Answer: 75


Solution : Susan can type 12 pages in 6 minutes.
Mary can type 6 pages in 12 minutes.
Total work = Time $\times$ Efficiency
Susan can type 12 pages in 6 minutes.
Number of pages Susan can type in 1 minute = $\frac{12}{6}$ = 2
Mary can

14 Views

Question : If $b \sin \theta=a$, then $\sec \theta+\tan \theta=?$

Option 1: $\sqrt{\frac{b+a}{b-a}}$

Option 2: $\sqrt{\frac{1}{b+a}}$

Option 3: $\sqrt{\frac{1}{b-a}}$

Option 4: $\sqrt{\frac{b-a}{b+a}}$

Team Careers360 24th Jan, 2024

Correct Answer: $\sqrt{\frac{b+a}{b-a}}$


Solution : $b \sin \theta = a$
$\sin\theta = \frac{a}{b}$
So, Perpendicular = $a$ & Hypotenuse = $b$
$(Hypotenuse)^2= (Perpendicular)^2+ (Base)^2$
⇒ $b^2= a^2 + (Base)^2$
⇒ $(Base)^2 = b^2- a^2$
⇒ $(Base) = \sqrt{b^2- a^2}$
$\sec \theta = \frac{(Hypotenuse)}{(Base)}= \frac{b}{\sqrt{b^2- a^2}}$
$\tan \theta= \frac{(Perpendicular)}{(Base)}= \frac{a}{\sqrt{b^2- a^2}}$

18 Views

Question : Who was the founder of the Theosophical Society?

Option 1: Justice Ranade

Option 2: Madame Blavatsky

Option 3: Annie Besant

Option 4: Bal Gangadhar Tilak

Team Careers360 25th Jan, 2024

Correct Answer: Madame Blavatsky


Solution : The correct answer is Madame Blavatsky.

A spiritual and mystic group is the Theosophical Society. Only in 1879 did this philosophy begin to take root in Indian culture. The society's main office was established in 1882 in Adyar, an Indian city close to Madras

15 Views

Question : Factorise: $x^{2}+5x-14$.

Option 1: $(x-7)(x+2)$

Option 2: $(x-1)(x+14)$

Option 3: $(x+7)(x-2)$

Option 4: $(x-14)(x+1)$

Team Careers360 23rd Jan, 2024

Correct Answer: $(x+7)(x-2)$


Solution : Given: $x^{2}+5x-14$
After middle-term splitting,
$= x^{2}+7x-2x-14$
$= x(x+7)-2(x+7)$
$= (x+7)(x-2)$
Hence, the correct answer is $(x+7)(x-2)$.

16 Views

Question : Directions: A and B are standing at the same point. They start moving in opposite directions at speeds of 5 kmph and 4 kmph respectively. What will be the distance between them after 3 hours?

Option 1: 3 km

Option 2: 21 km

Option 3: 18 km

Option 4: 27 km

Team Careers360 25th Jan, 2024

Correct Answer: 27 km


Solution : Given:
Speed of A = 5 kmph; Speed of B = 4 kmph
Time = 3 hours

According to the instructions given, both A and B are standing at the same point, and from there they start moving in opposite directions at different speeds.

177 Views

Question : Madhuri Dixit is associated with which Indian Dance form?

Option 1: Bharatanatyam

Option 2: Kuchipudi

Option 3: Kathak

Option 4: Kathakali

Team Careers360 25th Jan, 2024

Correct Answer: Kathak


Solution : The correct option is Kathak.

Madhuri Dixit, the famous Indian actress, is a trained Kathak dancer. Kathak is one of the eight major classical dance forms of India. It originated in the state of Uttar Pradesh. Kathak has several distinct schools or styles known

17 Views

Question : One number is 25% of another number. The larger number is 12 more than the smaller one. The larger number is:

Option 1: 48

Option 2: 16

Option 3: 4

Option 4: 12

Team Careers360 23rd Jan, 2024

Correct Answer: 16


Solution : Given: One number is 25% of another number. The larger number is 12 more than the smaller one.
Let the larger and the smaller numbers be $x$ and $y$ respectively.
now, $y$ = 25% of $x$
⇒ $y=\frac{x}{4}$
⇒ $x=4y$ .........................................(i)
The larger number is

33 Views

Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
AB_KPC_HKPEBH_PGBHK_

Option 1: CDGP

Option 2: HBKP

Option 3: CPHB

Option 4: HDGP

Team Careers360 25th Jan, 2024

Correct Answer: HBKP


Solution : Given:
AB_KPC_HKPEBH_PGBHK_

To fill the series we have to divide the series – AB_KP / C_HKP / EBH_P / GBHK_
Let's check each option –
First option: CDGP; ABCKP / CDHKP / EBHGP / GBHKP (No repeated

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