Staff Selection Commission Combined Graduate Level Exam
Question : The ratio of the present ages of the two boys is $3:4$. After 3 years, the ratio of their ages will be $4:5$. The ratio of their ages after 21 years will be:
Option 1: $14:17$
Option 2: $17:19$
Option 3: $11:12$
Option 4: $10:11$
Correct Answer: $10:11$
Solution : Let the present age of boys be $3x$ years and $4x$ years respectively. According to the given condition: After 3 years, $⇒\frac{3x+3}{4x+3}=\frac{4}{5}$ $⇒ 15x+15 = 16x+12$ $\therefore x = 3$ So, the present age of boys is 9 years and 12 years respectively. Therefore, the
Question : The value of $\frac{0.7× 0.7× 0.7+0.3 × 0.3 × 0.3}{0.7 × 0.7-0.7× 0.3+0.3 × 0.3}$ is_____.
Option 1: 2
Option 2: 1
Option 3: 3
Option 4: – 1
Correct Answer: 1
Solution : $\frac{0.7× 0.7× 0.7+0.3 × 0.3 × 0.3}{0.7 × 0.7-0.7× 0.3+0.3 × 0.3}$ = $\frac{(0.7)^3+(0.3)^3}{(0.7)^2-0.7× 0.3+(0.3)^2}$ = $\frac{(0.7+0.3)((0.7)^2-0.7× 0.3+(0.3)^2)}{(0.7)^2-0.7× 0.3+(0.3)^2}$ = $0.7+0.3$ = $1$ Hence, the correct answer is $1$.
Question : Study the following bar graph and answer the questions given below. Difference between the number of boys and girls in schools A, B, C, D, and E.
Total number of boys and girls in schools A, B, C, D, and E.
Note: The number of boys > the number of girls The number of boys in school B is what percentage of the total number of students in that school?
Option 1: 40%
Option 2: 50%
Option 3: 60%
Option 4: 55%
Correct Answer: 60%
Solution : Number of students in school B = Boys + Girls = 2600 ---(1) Difference between Boys and Girls in school B = Boys – Girls = 520 ---(2) Add equation (1) and (2) 2Boys = 2600 + 520 = 3120 ⇒ Boys = $\frac{3120}{2}$ =
Question : Select the correct indirect form of the given sentence. Anita said to the mother, "Your child has been crying since morning."
Option 1: Anita told the mother that her child was crying since morning.
Option 2: Anita told the mother that her child had been crying since morning.
Option 3: Anita told the mother that her child had been cry since morning.
Option 4: Anita told the mother that your child had been crying since morning.
Correct Answer: Anita told the mother that her child had been crying since morning.
Solution : The correct choice is the second option.
The indirect form of reported speech involves reporting what someone else said without quoting them directly.
The steps of conversion are as follows:
Question : If $x^{2}-12x+33=0$, then what is the value of $(x-4)^{2}+\frac{1}{(x-4)^{2}}?$
Option 1: $16$
Option 2: $14$
Option 3: $18$
Option 4: $20$
Correct Answer: $14$
Solution : Put $(x-4) = m$ ⇒ $x = m+4$ ⇒ $(m + 4)^{2} - 12(m + 4) + 33 = 0$ ⇒ $m^{2} + 16 + 8m - 12m - 48 + 33 = 0$ ⇒ $m^{2}- 4m + 1 = 0$ On dividing the equation
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select ‘No improvement required’. A good breakfast give very energy needed by you.
Option 1: gives all the energy
Option 2: give very much energy
Option 3: No improvement required
Option 4: gives many energy
Correct Answer: gives all the energy
Solution : The correct choice is the first option.
The first option, "gives all the energy", could be a suitable improvement to highlight that a good breakfast provides all the necessary energy.
This option emphasises that a complete and proper breakfast supplies the entirety
Question : If $(a+b)=5$, then the value of $(a-3)^7+(b-2)^7$ is:
Option 1: $2^7$
Option 2: $3^7$
Option 3: $1$
Option 4: $0$
Correct Answer: $0$
Solution : Given: $(a+b)=5$ $⇒a=5-b$ The value of the expression $(a-3)^7+(b-2)^7$ is given as, $=(5-b-3)^7+(b-2)^7$ $=(2-b)^7+(b-2)^7$ $=-(b-2)^7+(b-2)^7$ $=0$ Hence, the correct answer is $0$.
Question : The ratio of the number of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys and girls are admitted, the number of boys increases by 12 and the ratio of boys to girls changes to 7 : 6. The number of new girls admitted is:
Option 1: 12
Option 2: 14
Option 3: 24
Option 4: 20
Correct Answer: 24
Solution : Given: The ratio of the number of boys to the number of girls in a school of 432 pupils is 5 : 4. Original number of boys in the school = $\frac{5}{9}× 432=240$ Original number of girls in the school = 432 – 240 =
Question : Which one of the following is not a true fish?
Option 1: Shark
Option 2: Starfish
Option 3: Eel
Option 4: Seahorse
Correct Answer: Starfish
Solution : The correct option is Starfish.
Despite its name, a sea star is not a real fish. Echinoderms are marine invertebrates that include starfish (sea stars), sea urchins, sand dollar and sea cucumbers. A starfish does not have the characteristics of a fish.
Question : The area of a sector of a circle is 308 cm2, with the central angle measuring 45°. The radius of the circle is:
Option 1: 14 cm
Option 2: 21 cm
Option 3: 7 cm
Option 4: 28 cm
Correct Answer: 28 cm
Solution : According to the question, $\frac{45°}{ 360°} ×πr^2 = 308$ ⇒ $πr^2 = 308 × 8$ ⇒ $\frac{22}{7} × r^2 = 2464$ ⇒ $r^2 = 784$ ⇒ $r = 28$ cm Hence, the correct answer is 28 cm.
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
