Staff Selection Commission Combined Graduate Level Exam
Question : A alone can do a work in 11 days. B alone can do the same work in 22 days. C alone can do the same work in 33 days. They work in the following manner: Day 1: A and B work. Day 2: B and C work. Day 3: C and A work. Day 4: A and B work. And so on. In how many days will the work be completed?
Option 1: 9 days
Option 2: 12 days
Option 3: 3 days
Option 4: 6 days
Correct Answer: 9 days
Solution : Given: A alone can do a work in 11 days. Total work = Efficiency × Time Let the total work be $x$. A alone can do a work in 11 days. A does work in 1 day = $\frac{x}{11}$ B alone can do the
Question : Directions: A man was 32 years of age when he had his first son. His wife was 35 years of age when his son attained the age of 7 years. What is the difference between the age of the father and the mother?
Option 1: 7 years
Option 2: 3 years
Option 3: 5 years
Option 4: 4 years
Correct Answer: 4 years
Solution : The wife was 35 years old when her son was 7 years old. ⇒ The wife's age when her son was born = (35 – 7) = 28 years and her husband's age was 32 years old when the son was born.
So, the
Question : A certain amount will become six times in 20 years. How long does it take for the same amount to become 5 times?(Assume the same rate of simple interest in each case)
Option 1: 16 years 8 months
Option 2: 15 years 8 months
Option 3: 15 years
Option 4: 16 years
Correct Answer: 16 years
Solution : Let $P$ be the principal amount and $R$ be the rate of interest. Term, $n$ = 20 years Total amount = $6P$ Simple interest, SI = $6P – P$ = $5P$ SI = $\frac{P×n×R}{100}$ ⇒ $5P$ = $\frac{P×20×R}{100}$ ⇒ $R$ = 25% Again, the
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at AB as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the
Question : Diu is an island off
Option 1: Daman
Option 2: Goa
Option 3: Gujarat
Option 4: Maharashtra
Correct Answer: Gujarat
Solution : The correct answer is Gujarat.
Diu is an island situated off the coast of Gujarat's Kathiawar Peninsula. It was a Portuguese colony and got liberated in 1961. Diu was given to Portuguese by the Sultan of Gujarat, Bahadur Shah through an agreement in exchange of
Question : AB is the diameter of a circle with centre O. P is a point on the circle. If $\angle AOP=95^{\circ}$, then $\angle{OBP}=$
Option 1: $57.5^{\circ}$
Option 2: $45.5^{\circ}$
Option 3: $47.5^{\circ}$
Option 4: $55.5^{\circ}$
Correct Answer: $47.5^{\circ}$
Solution : Given: AB is the diameter of a circle with centre O. P is a point on it. As we know, the angle subtended by an arc at the centre is twice the angle subtended by the same arc on the circle. $\angle AOP= 2\angle ABP$
Question : How many numbers are there from 400 to 700 in which the digit 6 occurs exactly twice?
Option 1: 19
Option 2: 18
Option 3: 21
Option 4: 20
Correct Answer: 20
Solution : Given: The numbers are there from 400 to 700. In 400 – 500 ⇒ 466 = 1 time In 500 – 600 ⇒ 566 = 1 time In 600 – 700 ⇒ 9 times ⇒ 660, 661, 662, 663, 664, 665, 667, 668, 669 Again,
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'.
The first step in making a kite is to fasten two sticks of bamboo together in the form of a cross.
Option 1: in making a kite is to be fastened
Option 2: in making a kite is to fastening
Option 3: into making a kite is fasten
Option 4: no improvement required
Correct Answer: no improvement required
Solution : The fourth option is the correct answer.
The given sentence is grammatically correct in all aspects.
Therefore, the correct answer is "no improvement required".
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".
The doctor recommended that he should take a holiday.
(1) that he should
(2) take a holiday.
(3) The doctor recommended
(4) No Error
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first option of the sentence.
This is a case of the subjunctive mood, and in these cases, the base form of the verb should be used without "s". Thus, he should take should be replaced with he take without "s"
Question : Directions: Select the odd group of numbers. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: (90 – 93 – 96)
Option 2: (84 – 87 – 90)
Option 3: (44 – 49 – 52)
Option 4: (58 – 61 – 64)
Correct Answer: (44 – 49 – 52)
Solution : Let's check the options – First option: (90 – 93 – 96)→90 + 3 = 93; 93 + 3 = 96 Second option: (84 – 87 – 90)→84 + 3 = 87; 87 + 3 = 90 Third option: (44 –
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