Staff Selection Commission Combined Graduate Level Exam
Question : Select the most appropriate meaning of the given idiom.
Go back to the drawing board.
Option 1: Mediate a task.
Option 2: Accomplish a task.
Option 3: Start over.
Option 4: Leave a work.
Correct Answer: Start over.
Solution : The correct choice is the third option.
This idiom means to start a task or project over from the beginning, often because the previous attempt was not successful or needs significant revision.
Question : What is the full form of DNA?
Option 1: Diribo nuclei acid
Option 2: Di nucleic acid
Option 3: Dual nitrogen acid
Option 4: Deoxyribonucleic acid
Correct Answer: Deoxyribonucleic acid
Solution : The correct option is Deoxyribonucleic acid
DNA, or deoxyribonucleic acid, is a complex molecule that contains the genetic information required for all known living species to grow, develop, function and reproduce. It has a double helix structure composed of a unique sequence of
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 108, 99, 88, ?, 60, 43
Option 1: 76
Option 2: 75
Option 3: 78
Option 4: 77
Correct Answer: 75
Solution : Given: 108, 99, 88, ?, 60, 43
In the above-given series, subtract consecutive odd numbers (starting from 9) – 108 – 9 = 99; 99 – 11 = 88; 88 – 13 = 75; 75 – 15 = 60; 60 – 17 = 43
So,
Question : ABC is an isosceles right-angle triangle. $\angle ABC = 90 ^{\circ}$ and AB = 12 cm. What is the ratio of the radius of the circle inscribed in it to the radius of the circle circumscribing $\triangle ABC$?
Option 1: $6–\sqrt{2}: 3 \sqrt{2}$
Option 2: $2–\sqrt{2}: \sqrt{2}$
Option 3: $6–3 \sqrt{2}: 1 \sqrt{2}$
Option 4: $6–3 \sqrt{2}: 6 \sqrt{2}$
Correct Answer: $2–\sqrt{2}: \sqrt{2}$
Solution : Given: ABC is an isosceles right-angle triangle. $\angle ABC = 90 ^{\circ}$ and AB = 12 cm. In $\triangle ABC$, $H^2=B^2+P^2$ (Using Pythagoras theorem). ⇒ $H^2=12^2+12^2$ ⇒ $H^2=144+144=288$ ⇒ $H=\sqrt{288}=12\sqrt2$ cm Inradius of inscribed circle of right angled triangle = $\frac{(P + B –
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (2, 2, 4); (1, 6, 6); (7, 2, ?)
Option 1: 14
Option 2: 2
Option 3: 7
Option 4: 12
Correct Answer: 14
Solution : Given: (2, 2, 4); (1, 6, 6); (7, 2, ?)
Like, (2, 2, 4)→2 × 2 = 4 (1, 6, 6)→1 × 6 = 6 Similarly, (7, 2, ?)→7 × 2 = 14
So, 14 is the required answer. Hence, the first option is correct.
Question : What is the value of $\frac{7}{2}+\frac{11}{3}+\frac{7}{6}+\frac{11}{15}+\frac{7}{12}+\frac{11}{35}+\ldots \ldots+\frac{7}{156}+\frac{11}{575}$?
Option 1: $\frac{3917}{355}$
Option 2: $\frac{3816}{325}$
Option 3: $\frac{3714}{345}$
Option 4: $\frac{3216}{315}$
Correct Answer: $\frac{3816}{325}$
Solution : Given: The series is $\frac{7}{2}+\frac{11}{3}+\frac{7}{6}+\frac{11}{15}+\frac{7}{12}+\frac{11}{35}+\ldots \ldots+\frac{7}{156}+\frac{11}{575}$. Determine the value of the series by solving two distinct series independently. The sum of the first series = $\frac{7}{2}+\frac{7}{6}+\frac{7}{12}+...+\frac{7}{156}$ ⇒ Sum = $7[1–(\frac{1}{2})+(\frac{1}{2}–\frac{1}{3})+(\frac{1}{3}–\frac{1}{4})+...+(\frac{1}{12}–\frac{1}{13})]$ ⇒ Sum = $7[1–\frac{1}{13}]$ ⇒ Sum = $7\times\frac{12}{13}=\frac{84}{13}$ The sum of the second series =
Question : If $x+\left [\frac{1}{(x+7)}\right]=0$, what is the value of $x-\left [\frac{1}{(x+7)}\right]$?
Option 1: $3\sqrt{5}$
Option 2: $3\sqrt{5}-7$
Option 3: $3\sqrt{5}+7$
Option 4: $8$
Correct Answer: $3\sqrt{5}-7$
Solution : Given: $x+[\frac{1}{(x+7)}]=0$ Adding both sides 7, we get, ⇒ $x+7+[\frac{1}{(x+7)}]=7$ Squaring both sides, we get, ⇒ $(x+7)^{2}+(\frac{1}{x+7})^{2}+2=49$ ⇒ $(x+7)^{2}+(\frac{1}{x+7})^{2}=47$ Subtracting 2 from both sides, $(x+7)^{2}+(\frac{1}{x+7})^{2}–2=47-2$ ⇒ $[(x+7)-(\frac{1}{x+7})]^{2}=45$ ⇒ $[(x+7)-(\frac{1}{x+7})]=\sqrt{45}$ ⇒ $[(x-\frac{1}{x+7})]=\sqrt{45}-7=\sqrt{9 \times5}-7=3\sqrt{5}–7$ Hence, the correct answer is $3\sqrt{5}-7$.
Question : What will be the remainder when $27^{27}+27$ is divided by 28?
Option 1: 28
Option 2: 27
Option 3: 25
Option 4: 26
Correct Answer: 26
Solution : $27^{27}+27$ can written as $27^{27}+1^{27}-1+27=(27^{27}+1^{27})+26$ We know that An + Bn is divisible by A + B when n is odd. Here n = 27 is an odd number. When $(27^{27}+1^{27})$ is divided by 28, the remainder will be 0. And, when $(27^{27}+1^{27})+26$
Question : Directions: From the given option figures, select the one in which the question figure is embedded.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in all the given option figures. The question figure is embedded only in the first option figure.
Hence, the first option is
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Weight : Pound :: Height : ?
Option 1: Dozen
Option 2: Metres
Option 3: High
Option 4: Kilograms
Correct Answer: Metres
Solution : Given: Weight : Pound :: Height : ?
Like, a Pound is a unit used to measure Weight. Similarly, the unit used to measure Height is metre.
Hence, the second option is correct.
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
