Staff Selection Commission Combined Graduate Level Exam
Question : In which state is the festival of Gudi Padwa specially celebrated?
Option 1: Maharashtra
Option 2: Punjab
Option 3: Goa
Option 4: Odisha
Correct Answer: Maharashtra
Solution : The correct option is Maharashtra.
The Indian state of Maharashtra is where most people celebrate the traditional Hindu festival of Gudi Padwa. It usually falls on the first day of the Hindu month of Chaitra, equivalent to March or April in the Gregorian calendar,
Question : If the area of the base of a cone is increased by 100%, the volume increases by:
Option 1: $200\%$
Option 2: $182\%$
Option 3: $141\%$
Option 4: $100\%$
Correct Answer: $100\%$
Solution : The volume $(V)$ of a cone, $V = \frac{1}{3} \pi r^2 h$ The area of the base $=\pi r^2$ After $100\%$ increase in the area of the new base $=2\pi r^2$ The new volume $(V')$ of the cone, $V' = \frac{1}{3} (2\pi r^2) h =
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. The promotion of congenial relationship at all levels of the staff leads to prosperity of the organisation. B. Better skills increase the working capacity of employees by promoting better work habits. C. This includes multiplication of knowledge and development of their skills. D. Efficient management aims at qualitative improvement of its employees.
Option 1: DABC
Option 2: DCAB
Option 3: DCBA
Option 4: DBAC
Correct Answer: DCBA
Solution : The correct choice is the third option.
The paragraph starts with sentence D, which sets the focus on the management's goal of improving employee quality, followed by sentence C, which explains what is encompassed in the process of improving employee quality, followed
Question : Directions: Select the option that represents the correct order of the given words as they would appear in an English dictionary. 1. Significant 2. Sinful 3. Signed 4. Singing 5. Simplify
Option 1: 3, 1, 5, 2, 4
Option 2: 3, 5, 1, 2, 4
Option 3: 3, 2, 1, 5, 4
Option 4: 3, 1, 2, 5, 4
Correct Answer: 3, 1, 5, 2, 4
Solution : Given: 1. Significant 2. Sinful 3. Signed 4. Singing 5. Simplify
Step 1: Compare the first two letters of each word. Since both the words start with the same letter S and i, then move on to the next letter.
Question : P, Q, and R can complete a piece of work in 9, 12, and 18 days, respectively. Working together, how much work can they complete in one day?
Option 1: $\frac{2}{3}$
Option 2: $\frac{1}{2}$
Option 3: $\frac{1}{3}$
Option 4: $\frac{1}{4}$
Correct Answer: $\frac{1}{4}$
Solution : One day work of P $= \frac{1}{9}$ One day work of Q $= \frac{1}{12}$ One day work of R $= \frac{1}{18}$ Work done by all the three in a day $= \frac{1}{9}+\frac{1}{12}+\frac{1}{18}$ $= \frac{4+3+2}{36}$ $= \frac{9}{36} = \frac{1}{4}$ Hence, the correct answer is $\frac{1}{4}$.
Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 9 and 6
Option 1: 7 + 6 × 4 ÷ 9 – 8 = 5
Option 2: 6 × 8 – 9 ÷ 3 + 5 = 75
Option 3: 9 × 7 + 4 ÷ 1 – 6 = 38
Option 4: 7 × 6 ÷ 3 + 9 – 8 = 19
Correct Answer: 9 × 7 + 4 ÷ 1 – 6 = 38
Solution : Given: 9 and 6
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 7 + 6 × 4 ÷ 9 – 8 = 5
Question : A number, when divided by 6, leaves a remainder of 3. When the square of the same number is divided by 6, the remainder is:
Option 1: 0
Option 2: 2
Option 3: 1
Option 4: 3
Correct Answer: 3
Solution : Let the number be $x$. Dividend = Quotient × Divisor + Remainder When divided by 6, $x$ leaves a remainder of 3. Let the quotient be $q$. Then, $x=6q+3$ Now, squaring both sides we get, $x^2=(6q+3)^2$ ⇒ $x^2=36q^2+36q+9$ ⇒ $x^2=6(6q^2+6q+1)+3$ Thus, $x^2$ divided by 6
Question : Which of the following cities did not host matches of the FIFA U-17 Women’s World Cup 2022 in India?
Option 1: New Delhi
Option 2: Navi Mumbai
Option 4: Bhubaneswar
Correct Answer: New Delhi
Solution : The correct answer is New Delhi.
Three venues hosted the 32 football matches of the FIFA U-17 Women's World Cup 2022. The Pandit Jawaharlal Nehru Stadium in Margao, Goa; the DY Patil Stadium in Navi Mumbai, Maharashtra. It happened in Navi Mumbai.
On
Question : If $p+q+r=pqr=\frac{1}{p}+\frac{1}{q}+\frac{1}{r}=1$, find $\mathrm{p}^3+\mathrm{q}^3+\mathrm{r}^3$.
Option 1: 1
Option 2: –1
Option 3: 5
Option 4: –5
Correct Answer: 1
Solution : Given: $p+q+r=pqr=\frac{1}{p}+\frac{1}{q}+\frac{1}{r}=1$ $\frac{1}{p}+\frac{1}{q}+\frac{1}{r}=1$ ⇒ $\frac{qr+pr+pq}{pqr}=1$ ⇒ $pr+qr+pq=pqr$ ⇒ $pr+qr+pq=1$ Now, $(p+q+r)^2=1^2$ ⇒ $p^2+q^2+r^2+2(pq+pr+qr)=1$ ⇒ $p^2+q^2+r^2+2=1$ $\therefore p^2+q^2+r^2=-1$ $p^3+q^3+r^3$ $=(p+q+r)(p^2+q^2+r^2-pq-pr-qr)+3pqr$ $=(p+q+r)[p^2+q^2+r^2-(pq+pr+qr)]+3pqr$ $=1×[-1-1]+3×1$ $=-2+3$ $=1$ Hence, the correct answer is 1.
Question : Calculate the mean from the following table.
Option 1: 34.2
Option 2: 33.4
Option 3: 32.6
Option 4: 35.8
Correct Answer: 33.4
Solution :
Mean = $\frac{\sum \text{ (Mid Point × Frequencies)}}{\sum \text{Frequencies}}$
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