Staff Selection Commission Combined Graduate Level Exam
Question : Salal is the Hydro Power project in :
Option 1: Haryana
Option 2: Jammu and Kashmir
Option 3: Himachal Pradesh
Option 4: Punjab
Correct Answer: Jammu and Kashmir
Solution : The correct option is Jammu & Kashmir.
Salal Hydroelectric Power Project is in the Indian state of Jammu & Kashmir. It's located on the Chenab River, which runs across northern India, including Jammu and Kashmir. The Salal Hydroelectric Power Project is one of
Question : What is the value of $\sec ^2 \theta - \cot ^2(90^\circ - \theta)$?
Option 1: 2
Option 2: 1
Option 3: –1
Option 4: 0
Correct Answer: 1
Solution : Given: $\sec^{2}\theta -\cot^{2}(90^\circ - \theta)$ $=\sec^{2}\theta- \tan^{2}\theta$ $=1$ Hence, the correct answer is 1.
Question : Direction: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
2, 2, 4, 6, ?, 10, 8, 14, 10
Option 1: 6
Option 2: 5
Option 3: 8
Option 4: 7
Correct Answer: 6
Solution : Given: 2, 2, 4, 6, ?, 10, 8, 14, 10
Here, Every alternate term starting from the first is a multiple of 2.
2 × 2 = 4; 2 × 3 = 6; 2 × 4 = 8; 2 × 5 = 10
Every
Question : Directions: Given below is a question followed by two statements I and II. Read both statements carefully to decide which is sufficient to answer the question. Six people - K, M, N, P, Q, and R are sitting around a circular table facing the centre. Who sits to the immediate right of K? (I) K sits third to the left of M. Only one person sits between K and N. R sits to the immediate left of N. (II) K sits second to the right of Q. Only two people sit between K and M. P sits second to the left of R.
Option 1: Data in statement I alone is sufficient to answer the question while data in statement II is not.
Option 2: Either data in statement I or statement II is sufficient to answer the question
Option 3: Data in statements I and II together are sufficient to answer the question.
Option 4: Data in statement II alone is sufficient to answer the question while data in statement I is not
Correct Answer: Either data in statement I or statement II is sufficient to answer the question
Solution : Given: (I) K sits third to the left of M. Only one person sits between K and N. R sits to the immediate left of N.
From the final arrangement using statement
Question : Identify the segment in the sentence which contains a grammatical error.
They will be ready leaving for the airport in an hour.
Option 1: ready leaving
Option 2: for the airport
Option 3: They will be
Option 4: in an hour
Correct Answer: ready leaving
Solution : The correct choice is the first option.
In place of the gerund form of the verb (leaving), the infinitive form of the verb (to leave) should be used because the infinitive form is used to show the purpose or intent of an action.
Therefore,
Question : Let $x$ = (433)24 – (377)38 + (166)54. What is the unit digit of $x$ ?
Option 1: 8
Option 2: 9
Option 3: 7
Option 4: 6
Correct Answer: 8
Solution : Given: $x$ = (433)24 – (377)38 + (166)54 We can write 43324 = 433(4 × 5) + 4, 37738 = 377(4 × 9) + 2 So, the unit digit of 4334 = 1 and the unit
Question : Directions: Three of the following letter clusters are alike in some manner and hence form a group. Which letter cluster does not belong to that group?
Option 1: WPUQ
Option 2: MEKF
Option 3: BXCY
Option 4: ZLXM
Correct Answer: BXCY
Solution : Let's check the options –
First option: WPUQ→W – 2 = U; P + 1 = Q Second option: MEKF→M – 2 = K; E + 1 = F Third option: BXCY→B + 1 = C; X + 1 = Y Fourth option: ZLXM→Z –
Question : Directions: In the following question, select the missing number from the given series. 98, 70, 42, 14, ?, – 42
Option 1: –10
Option 2: –14
Option 3: 0
Option 4: –15
Correct Answer: –14
Solution : Given: 98, 70, 42, 14, ?, – 42
Subtract 28 from each number to obtain the required missing number in the series. 98 – 28 = 70; 70 – 28 = 42; 42 – 28 = 14; 14 – 28 = –14; –14 – 28
Question : Study the given pie chart carefully and answer the following question. If the scholarship has to be paid out of the donation fund, then what is the percentage of the donation fund used for this purpose (rounded off to two decimal places)? The entire fund that the school gets from different sources is equal to Rs. 10 lakh
Option 1: 74.29%
Option 2: 72.15%
Option 3: 80.25%
Option 4: 75.25%
Correct Answer: 74.29%
Solution : Given: The entire fund that the school gets from different sources is equal to Rs.10 lakh. The scholarship has to be paid out of the donation fund. The donation fund is 35% of the total fund = $1000000×\frac{35}{100}=350000$ For scholarship purposes, 26% of funds are
Question : If $x=1-y$ and $x^2=2-y^2$, then what is the value of $xy$?
Option 1: $1$
Option 2: $2$
Option 3: $-\frac{1}{2}$
Option 4: $–1$
Correct Answer: $-\frac{1}{2}$
Solution : Given: $x = 1-y$ ⇒ $x+y = 1$ Squaring both sides, we get, ⇒ $x^2+y^2+2xy=1$ Using $x^2 = 2-y^2$ ⇒ $2-y^2+y^2+2xy=1$ ⇒ $2+2xy =1$ $\therefore xy = -\frac{1}{2}$ Hence, the correct answer is $-\frac{1}{2}$.
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