Staff Selection Commission Combined Graduate Level Exam
Question : The median of a set of 11 distinct observations is 73.2. If each of the largest five observations of the set is increased by 3, then the median of the new set__________.
Option 1: is 3 times that of the original set
Option 2: is increased by 3
Option 3: remains the same as that of the original set
Option 4: is decreased by 3
Correct Answer: remains the same as that of the original set
Solution : Median of set of $n$ observation = $[\frac{(n+1)}{2}]^{th}$ observation Even if the largest 5 observations are increased by 3, the 6th observation remains the same. Therefore, the median of the new set remains the same. Hence, the
Question : Directions: In a certain code language, PLAY is coded as RICV, and TREE is coded as VOGB. How will BOOK be coded in the same language?
Option 1: HLQD
Option 2: DQQH
Option 3: DLQH
Option 4: DLLH
Correct Answer: DLQH
Solution : Given: PLAY is coded as RICV and TREE is coded as VOGB.
Add 2 and subtract 3 from the place value of the alternate letters, to obtain the required code – P + 2 = R; L – 3 = I; A + 2 =
Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 3 and 8
Option 1: 7 + 3 – 4 ÷ 2 × 8 = 9
Option 2: 6 ÷ 2 × 8 + 3 – 1 = 17
Option 3: 8 – 3 + 6 × 2 ÷ 4 = -2
Option 4: 2 + 3 – 6 ÷ 2 × 8 = 1
Correct Answer: 6 ÷ 2 × 8 + 3 – 1 = 17
Solution : Given: 3 and 8
Replace the given numbers in the options with the original ones in the equation. First option: 7 + 3 – 4 ÷ 2 × 8 = 9 ⇒ 7 + 8
Question : Select the most appropriate ANTONYM of the capitalised word in the given sentence.
Taking a BRISK walk can often induce a feeling of well-being.
Option 1: Slow
Option 2: Late night
Option 3: Quick
Option 4: Dusky
Correct Answer: Slow
Solution : The correct choice is the first option.
Brisk means marked by quickness and liveliness; energetic, while "slow" means moving at a lower speed; not fast.
The meanings of the other options are as follows:
Late night: This is a phrase related to time.
Quick: Similar
Question : Directions: After arranging the given words according to dictionary order, which word will come in the fifth position? 1. Version 2. Versus 3. Versicolour 4. Verse 5. Verso
Option 1: Verso
Option 2: Versus
Option 3: Version
Option 4: Verse
Correct Answer: Versus
Solution : Given: 1. Version 2. Versus 3. Versicolour 4. Verse 5. Verso
Step 1: Compare the first, second, third, and fourth letters of each word. Since all the words start with the same letter V, E, R, and S, move on to the next letter.
Question : Find the area of the sector of a circle with a radius of 4 cm containing an angle of 30°.
Option 1: 7.186 cm2
Option 2: 6.186 cm2
Option 3: 4.186 cm2
Option 4: 5.186 cm2
Correct Answer: 4.186 cm2
Solution : Radius = 4 cm Angle = 30° Area = $\frac{ \theta}{360°}×\pi r^2$ ⇒ Area = $\frac{30}{360}×3.14 \times 4^2$ ⇒ Area = $3.14 \times \frac{4}{3}$ ⇒ Area = $4.186$ cm2 The area of the sector of a circle with a radius of 4
Question : Which title, given by the British Government to Mahatma Gandhi, was surrendered during the non-cooperation movement?
Option 1: Hind Kesari
Option 2: Rai Bahadur
Option 3: Rt. Honourable
Option 4: Kaisar-i-Hind
Correct Answer: Kaisar-i-Hind
Solution : The correct answer is Kaisar-i-Hind.
The Britishers granted titles to Indians to forge a devoted class that would support and favour British policy. For his assistance during the Boer War, Lord Hardinge II, the Governor-General of India, gave him the award in 1915. Kaiser-i-Hind was
Question : How many spherical lead shots each of diameter 8.4 cm can be obtained from a rectangular solid of lead with dimensions 88 cm, 63 cm, and 42 cm?(Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 920
Option 2: 750
Option 3: 650
Option 4: 860
Correct Answer: 750
Solution : Given, Dimensions of rectangular solid are 88 cm, 63 cm, and 42 cm. Radius of each lead shot $=\frac{8.4}{2}=4.2\ \text{cm}$ Let $N$ number of shots can be obtained. According to the question, $N\times\frac{4\pi\times4.2^3}{3}=88\times63\times42$ ⇒ $N\times\frac{4}{3}\times \frac{22}{7}\times4.2^3=88\times63\times42$ $\therefore N=750$ Hence, the correct answer is 750.
Question :
Directions: In the following question, select the related word from the given alternatives. Psychology : Human Being :: Ornithology : ?
Option 1: Birds
Option 2: Volcanoes
Option 3: Insects
Option 4: Reptiles
Correct Answer: Birds
Solution : Given: Psychology : Human Being :: Ornithology : ?
Like, Psychology is related to human beings as it is the study of human behavior. Similarly, Ornithology is related to birds as it is a scientific study of birds.
Hence, the first option is correct.
Question : The system of Budget was introduced in India during the viceroyalty of
Option 1: Canning
Option 2: Dalhousie
Option 3: Rippon
Option 4: Elgin
Correct Answer: Canning
Solution : The correct answer is Canning.
James Wilson was the first finance member to present the budget. A member of the interim government named Liaquat Ali Khan presented the 1947–48 budget. The first budget was introduced on April 7, 1860, while Lord Canning was viceroy, two
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