Staff Selection Commission Combined Graduate Level Exam
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
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
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
He adviced me (1) / to join (2) / the computer course later in the year. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct choice is the first option.
Here, "advice" (with a "c" letter) is a noun, an opinion or recommendation offered as a guide to action, whereas "advise" (with a "s" letter) is a verb, which means to recommend or to give information to
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: $\sqrt{\frac{b-a}{b+a}}$
Correct Answer: $\sqrt{\frac{b+a}{b-a}}$
Solution : $b \sin \theta = a$ $\sin\theta = \frac{a}{b}$ So, Perpendicular = $a$ & Hypotenuse = $b$ $(Hypotenuse)^2= (Perpendicular)^2+ (Base)^2$ ⇒ $b^2= a^2 + (Base)^2$ ⇒ $(Base)^2 = b^2- a^2$ ⇒ $(Base) = \sqrt{b^2- a^2}$ $\sec \theta = \frac{(Hypotenuse)}{(Base)}= \frac{b}{\sqrt{b^2- a^2}}$ $\tan \theta= \frac{(Perpendicular)}{(Base)}= \frac{a}{\sqrt{b^2- a^2}}$
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
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
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: $(x-14)(x+1)$
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 $(x+7)(x-2)$.
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
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.
Question : Madhuri Dixit is associated with which Indian Dance form?
Option 1: Bharatanatyam
Option 2: Kuchipudi
Option 3: Kathak
Option 4: Kathakali
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
Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following signs. If – stands for division, + stands for multiplication, ÷ stands for subtraction, and × stands for addition, which one of the following equations is correct?
Option 1: 100 + 5 – 10 × 250 ÷ 200 = 100
Option 2: 200 + 10 – 20 × 200 ÷ 100 = 150
Option 3: 50 × 5 ÷ 10 + 100 – 75 = 50
Option 4: 300 + 5 – 20 × 200 ÷ 100 = 200
Correct Answer: 100 + 5 – 10 × 250 ÷ 200 = 100
Solution : Given: – stands for division, + stands for multiplication, ÷ stands for subtraction, and × stands for addition.
Replace the mathematical signs in the equations and solve the equations one by one.
Let's check the
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
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
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
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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