Staff Selection Commission Combined Graduate Level Exam
Question : Rini has mixed two colours 'C1' and 'C2' in the ratio 2 : 3. If the rate of the colour 'C1' is INR 500 per unit and she is selling the mixture of the two colours at INR 650 per unit at a breakeven price, then what is the rate (in INR) per unit of the second colour, that is, 'C2'?
Option 1: INR 750
Option 2: INR 725
Option 3: INR 760
Option 4: INR 765
Correct Answer: INR 750
Solution : Using the alligation diagram Given: C1 : C2 = 2 : 3 The rate of the colour C1 = INR 500 Using alligation: $\frac{C_2 - 650}{650 - 500} = \frac{2}{3}$ C2 = 750 Hence, the correct answer is INR 750.
Question : Directions: What should come in place of the question mark (?) to complete the following letter series? F, E, I, G, L, I, O, ?
Option 1: I
Option 2: J
Option 3: L
Option 4: K
Correct Answer: K
Solution : Given: F, E, I, G, L, I, O, ?
In the given series, add 3 and 2 alternatively to the place value of the given letters to get the next alternate letter of the series.
So, K is the missing letter of the given series.
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
She exercised discretion in investigating whether her husband eloped with his ex-girlfriend.
(1) discretion in
(2) investigating whether
(3) eloped with
(4) No Error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The correct answer is the fourth option.
There is no error in the sentence as the sentence is grammatically correct. The phrase "exercised discretion" means that she acted carefully. The phrase "investigating whether" means that she was trying to find out if her husband
Question : In triangle ABC, AD is the angle bisector of angle A. If AB = 8.4 cm, AC = 5.6 cm and DC = 2.8 cm, then the length of side BC will be:
Option 1: 4.2 cm
Option 2: 5.6 cm
Option 3: 7 cm
Option 4: 2.8 cm
Correct Answer: 7 cm
Solution : The angle bisector of a triangle divides the opposite side into two parts proportional to the other two sides of the triangle. So, $\frac{AB}{AC} = \frac{BD}{DC}$ ⇒ $\frac{8.4}{5.6} = \frac{BD}{2.8}$ ⇒ $\frac{8.4}{2} = BD$ ⇒ $4.2\mathrm{\ cm} = BD$ And, $BD + DC =
Question :
The large amount of sugar present in human blood is
Option 1:
Sucrose
Option 2:
Glucose
Option 3:
Fructose
Option 4: Lactose
Correct Answer:
Solution : The correct option is glucose.
Glucose is the main sugar found in the blood. It is the body's main source of energy and is used by cells throughout the body. Glucose is also important for the brain, which cannot store energy and relies on a
Question : Money was lent on simple interest. After 12 years, its simple interest becomes $\frac{3}{5}$ of the money. Find the rate of interest.
Option 1: 4% p.a.
Option 2: 2% p.a.
Option 3: 5% p.a.
Option 4: 3% p.a.
Correct Answer: 5% p.a.
Solution : Given: After 12 years, its simple interest becomes $\frac{3}{5}$ of the money. Let the rate of interest be $r$ Let the principal be $x$. So, simple interest = $\frac{3x}{5}$ Simple interest=$\frac{\text{Principal × Rate × Time}}{100}$ ⇒ $\frac{3x}{5}=\frac{x×r×12}{100}$ ⇒ $12r=60$ $\therefore r =5$% So, the
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. Fort Hare was more than that: it was a beacon for African scholars from all over Southern Central and Eastern Africa. B. Until 1960, the University College of Fort Hare, in the municipality of Alice, about twenty miles due east from Healdtown, was the only residential centre of higher education for blacks in South Africa. C. For young black South Africans like myself, it was Oxford and Cambridge, Harvard and Yale, all rolled into one. D. The regent was anxious for me to attend Fort Hare and I was gratified to be accepted there. I felt that I was being groomed for success in the world.
Option 1: BACD
Option 2: BCAD
Option 3: CABD
Option 4: BDAC
Correct Answer: BACD
Solution : The correct choice is the first option: BACD.
Explanation:
Sentence B introduces the University College of Fort Hare as the only residential centre of higher education for blacks in South Africa until 1960. It sets the context for the paragraph, followed by sentence A
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. B can be represented by 00,13, etc. and O can be represented by 56, 68, etc. Similarly, you have to identify the set for the word TEAR.
Option 1: 58, 34, 21, 67
Option 2: 96, 11, 24, 12
Option 3: 65, 40, 23, 79
Option 4: 77, 58, 21, 98
Correct Answer: 65, 40, 23, 79
Solution : Given – TOWN
Option first: 58, 34, 21, 67
TEDR
Option second: 96, 11, 24, 12
TEBA
Option third: 65, 40, 23, 79
TEAR
The third set represents the word TOWN.
Option fourth: 77, 58, 21, 98
TTDR
Hence, third option is
Question : Direction: In each of the following questions, from the given alternative words, select the word which cannot be formed using the letters of the given word.
UNCONTAMINATED
Option 1: MINE
Option 2: NATION
Option 3: CONNOTE
Option 4: TANDEM
Correct Answer: CONNOTE
Solution : Given:
First option: MINE; All the letters of MINE are present in the word UNCONTAMINATED.
Second option: NATION; All the letters of NATION are present in the word UNCONTAMINATED.
Third option: CONNOTE; But the letter O in the word CONNOTE is not
Question : Direction: In a class composed of x girls y boys what part of the class is composed of girls?
Option 1: y(x + y)
Option 2: x/xy
Option 3: x/(x + y)
Option 4: y/xy
Correct Answer: x/(x + y)
Solution : Given: Number of girls = x Number of boys = y
Total number of students in a class (girls + boys) = x + y.
Therefore, part of the class composed of girls= x/(x + y).
Hence, third option is correct.
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