Staff Selection Commission Combined Graduate Level Exam
Question : 8 men can complete a task in 45 days. 8 women can complete the same task in 18 days. In how many days will 5 men and 8 women, together, complete the same task?
Option 1: $13 \frac{1}{5}$
Option 2: $12 \frac{4}{5}$
Option 3: $14 \frac{2}{5}$
Option 4: $15 \frac{3}{5}$
Correct Answer: $14 \frac{2}{5}$
Solution : First, use $M_1D_1= M_2D_2$ Where $M_1$ and $M_2$ are men and women and $D1$ and $D_2$ are days. $8M\times 45 = 8 W\times 18$ ⇒ $5M=2W$ So, $5M + 8W=2W + 8W = 10W$ Now, $8\times 18 = 10\times D_3$ ⇒ $D_3 = \frac{8\times
Question : The average of 11 results is 50. If the average of the first six results is 49 and that of the last six is 52, the sixth number is:
Option 1: 48
Option 2: 50
Option 3: 52
Option 4: 56
Correct Answer: 56
Solution : Given: The average of 11 results is 50. The average of the first 6 results is 49. The average of the last 6 results is 52. According to the question, The sum of 11 results = 50 × 11 = 550 The sum of the
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at AB as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the
Question : If $\sqrt3=1.732$, then the value of $\frac{9+2\sqrt3}{\sqrt3}$ is:
Option 1: 7.169
Option 2: 7.196
Option 3: 5.198
Option 4: 7.296
Correct Answer: 7.196
Solution : Given: $\sqrt{3} = 1.732$ $\frac{9+2\sqrt{3}}{\sqrt{3}}$ To eliminate the root from the denominator, multiply and divide by $\sqrt{3}$ = $\frac{9+2\sqrt{3}}{\sqrt{3}}$ × $\frac{\sqrt{3}}{\sqrt{3}}$ = ${\sqrt{3}×9+\sqrt{3}×2\sqrt{3}}$ = $\frac{\sqrt{3}×9+6}{3}$ = $\frac{3(3\sqrt{3}+2)}{3}$ = $3\sqrt{3}+2$ = $3×1.732+2$ = $7.196$ Hence the correct answer is 7.196.
Question : The area of a rectangle is thrice that of a square. The length of the rectangle is $20\;\mathrm{cm}$ and the breadth of the rectangle is $\frac{3}{2}$ times that of the side of the square. The side of the square, (in cm) is:
Option 1: 10
Option 2: 20
Option 3: 30
Option 4: 60
Correct Answer: 10
Solution : Let the side of the square be $ s\text{ cm}$. The area of the square $= s^2\;\mathrm{cm^2}$ Given that the area of the rectangle is thrice that of the square. The area of the rectangle $=3s^2\;\mathrm{cm^2}$ ____(i) Given that the length of the rectangle is
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.
A. "How refreshing the breeze that blows through them!" B. Every morning, Chandni watched the hilltops bathed in sunlight. C. She wanted to run to the hills but was stopped by the rope around her neck. D. "How beautiful those hills are!" she thought.
Option 1: ACDB
Option 2: BDAC
Option 3: DCBA
Option 4: BCAD
Correct Answer: BDAC
Solution : The correct choice is the second option.
Sentence B establishes a routine of Chandni observing the hilltops in the morning sunlight. It is followed by sentence D, which reflects Chandni's thoughts, expressing admiration for the beauty of the hills. It is then followed
Question : The angle of elevation of the top of a tower from the top of a building whose height is 680 m is $45^{\circ}$ and the angle of elevation of the top of the same tower from the foot of the same building is $60^{\circ}$. What is the height (in m) of the tower?
Option 1: $340(3 + \sqrt3)$
Option 2: $310(3 - \sqrt3)$
Option 3: $310(3 + \sqrt3)$
Option 4: $340(3 - \sqrt3)$
Correct Answer: $340(3 + \sqrt3)$
Solution : Let AB be the building and CD be the tower. AB = DE = 680 m $\tan 45^{\circ}$ = $\frac{CE}{AE}$ ⇒ 1 = $\frac{CE}{BD}$ ⇒ CE = BD ------------(i) $\tan 60^{\circ}$ = $\frac{CD}{BD}$ ⇒ $\sqrt3$ = $\frac{CE+DE}{CE}$ ⇒ $\sqrt3$ × CE = CE
Question : Which is the sensory receptor involved in detecting blood pressure?
Option 1: Chemoreceptor
Option 2: Mechanoreceptor
Option 3: Photoreceptor
Option 4: Magnetoreceptor
Correct Answer: Mechanoreceptor
Solution : The correct option is Mechanoreceptor.
"Mechanoreceptors" are the sensory receptors that detect blood pressure. The mechanoreceptors, known as "baroreceptors", are specialised sensory nerve endings found in blood vessels, notably the carotid arteries (located in the neck), and the aortic arch (placed near the heart). These
Question : Directions: Amit ranked 7th from the top and 26th from the bottom in his class. How many students are there in the class?
Option 1: 31
Option 2: 33
Option 3: 27
Option 4: 32
Correct Answer: 32
Solution : Given: Amit ranked 7th from the top and 26th from the bottom in his class.
Total number of students in the class = (Position from top) + (Position from bottom) – 1 = 7 + 26 – 1 = 32
Therefore, 32 students are in
Question : Directions: Consider the statements to be true and decide which of the given conclusions/assumptions can be drawn from the given statements. Statements: When water is cooled, it turns into ice. When water is heated, it turns into steam. Conclusions: I. Water is a solid. II. Water is a gas.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follows
Correct Answer: Neither conclusion I nor II follows
Solution : Conclusion I: Water is a solid. The given statements do not state that water is a solid. It states that when water is cooled, turns into ice. The statement mentions the formation and not what it is. Conclusion II: Water
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