Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Three Statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: I. Some sweets are chocolates. II. All chocolates are cookies. III. Some cookies are healthy. Conclusions: I. Some sweets are cookies. II. Some cookies are chocolates. III. Some chocolates are sweets.
Option 1: Both conclusions II and III follow
Option 2: Both conclusions I and III follow
Option 3: Both conclusions I and II follow
Option 4: All conclusions follow
Correct Answer: All conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some sweets are cookies – From the Venn diagram, it is clear that the circle of sweets and cookies intersect and have some
Question : What will a person get after 3 years at compound interest, when the principal is Rs. $S$ and the rate of interest is $2r$% per annum?
Option 1: Rs. $\frac{6Sr}{100}$
Option 2: Rs. $S(1+\frac{r}{100} )^{3}$
Option 3: Rs. $S( 1+\frac{r}{50} )^{3}$
Option 4: Rs. $3S( 1+\frac{r}{100} )^{3}$
Correct Answer: Rs. $S( 1+\frac{r}{50} )^{3}$
Solution : Given: Principal = Rs. $S$ Rate of interest = $2r$% Time = 3 years Formula : $A = P[1+\frac{R}{100}]^{n}$ Solution : $A = S[1+\frac{2r}{100}]^{3}$ $A = S[1+\frac{r}{50}]^{3}$ Hence, the correct answer is $S[1+\frac{r}{50}]^{3}$.
Question : Directions: Which one of the following words will appear third in the dictionary? 1. Immutable 2. Immigrate 3. Imperative 4. Impassioned
Option 1: Immutable
Option 2: Immigrate
Option 3: Imperative
Option 4: Impassioned
Correct Answer: Impassioned
Solution : Given: 1. Immutable 2. Immigrate 3. Imperative 4. Impassioned
Step 1: Compare the first and the second letters of each word. Since all the words have the same letter I and m, move on to the next letter. Step 2: The third letter of each
Question : A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. Find the percentage increase in his savings.
Option 1: 25%
Option 2: 50%
Option 3: 15%
Option 4: 10%
Correct Answer: 50%
Solution : Let his income be Rs. 100. Then, expenditure will be Rs. 75, and savings will be Rs. 25. His income increases by 20% and the expenditure also increases by 10%. New income =120% of 100 = Rs. 120 New Expenditure = 110% of 75 =
Question : The strength of a school increases and decreases every alternate year by 10%. It started with an increase in 2000. Then, the strength of the school in 2003, as compared to that in 2000, was:
Option 1: Increased by 8.9%
Option 2: Decreased by 8.9%
Option 3: Increased by 9.8%
Option 4: Decreased by 9.8%
Correct Answer: Increased by 8.9%
Solution : Given: The strength of a school increases and decreases every alternate year by 10%. It started with an increase in 2000. Let the strength of the school in 2000 be 100. Till the year 2003, it first increases, then decreases, and then increases
Question : The following table shows the number of children in each house of a society.
What is the average number of children per house?
Option 1: 1.65
Option 2: 1.4
Option 3: 1.9
Option 4: 1.15
Correct Answer: 1.4
Solution : According to the data given in the table: Total number of children = 0 × 7 + 1 × 7 + 2 × 13 + 3 × 3 = 42 Total number of houses = 7 + 7 + 13 + 3 = 30 So,
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. ROAR : QZNQ :: HEAR : QZDG :: DAMP : ?
Option 1: MPAD
Option 2: OLZC
Option 3: BCOA
Option 4: PMAD
Correct Answer: OLZC
Solution : Given: ROAR : QZNQ :: HEAR : QZDG :: DAMP : ?
Subtract 1 from the place value of each letter of ROAR and HEAR and shuffle their position, to get the required codes –
Thus, ROAR is coded as QZNQ.
Thus, HEAR is coded
Question : Directions: If a mirror is placed on line AB, which of the answer figures is the right image of the given figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per mirror image properties, closer things appear close to the mirror in reflection. According to the information provided, if the mirror is placed on the left side of the figure (on line AB), the right of the reflected image will appear as the left,
Question : If $4x–7y=3$ and $2x–y=9$, then the value of $(x–y)$ is:
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 6
Correct Answer: 3
Solution : Given: $4x–7y=3$ and $2x–y=9$. ⇒ $4x=3+7y$ ----------(1) ⇒ $2x=9+y$ -----------(2) Equating equation (1) and (2), we get: ⇒ $3+7y=2(9+y)$ ⇒ $3+7y=18+2y$ ⇒ $5y=15$ ⇒ $y=3$ Putting the value of $y$ in equation (1), ⇒ $4x=3+7×3$ ⇒ $4x=24$ ⇒ $x=6$ So, $(x–y)=6–3$ $(x–y)=3$ Hence, the correct
Question : Directions: In the following figure, the square represents therapists, the triangle represents geneticists, the circle represents yoga practitioners and the rectangle represents fathers. Which set of letters represents yoga practitioners who are neither geneticists nor fathers?
Option 1: C, B
Option 2: E, A
Option 3: G, C
Option 4: F, G
Correct Answer: F, G
Solution : In the diagram, the shaded part represents the region common to yoga practitioners but, uncommon to fathers and geneticists.
Therefore, the letters that represent yoga practitioners who are neither geneticists nor fathers are F and G. Hence, the fourth option is correct.
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