Staff Selection Commission Multi Tasking Staff Exam
Question : A boat travels 32 km downstream in 4 hours and 24 km upstream in 6 hours. What is the speed (in km/hr) of a boat in still water?
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 8
Correct Answer: 6
Solution : Let $x$ km/hr be the speed of the boat in still water and $y$ km/hr be the speed of the current. The speed of the boat downstream = $(x+y)$ km/hr The speed of the boat in upstream = $(x–y)$ km/hr The distance travelled upstream =
Question : Which of the following machines was designed by Charles Babbage?
Option 1: Analytical Engine
Option 2: Arithmetic Engine
Option 3: Tabulating Machine
Option 4: Punched card
Correct Answer: Analytical Engine
Solution : The correct option is the Analytical Engine.
Charles Babbage, an English inventor who died in 1871, conceived and partially constructed the Analytical Engine, which is usually regarded as the first computer. Babbage started imagining methods to enhance the difference engine, a less complex
Question : Select the most appropriate option to fill in the blank.
You need to put the baby very _____ on the bed.
Option 1: much gently
Option 2: gently
Option 3: more gentle
Option 4: gentle
Correct Answer: gently
Solution : The correct choice is the second option.
Gently means in a kind, tender manner. The sentence already contains a modifier, and thus, no other word other than an adverb is necessary. This helps convey the intended meaning that the baby needs to be put
Question : In an examination out of 6000 students, 60% of boys and 90% of girls passed. If the total pass percentage was 65%, then what would be the number of boys?
Option 1: 3500
Option 2: 5000
Option 3: 4500
Option 4: 5500
Correct Answer: 5000
Solution : Let the number of boys be $x$ The number of girls = 6000 – $x$ Now, 60% of $x$ + 90% of (6000 - $x$) = 65% of 6000 ⇒ 0.6$x$ + 0.9(6000 – $x$) = 0.65 × 6000 ⇒ 0.6$x$ + 5400 – 0.9$x$
Question : Directions: 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 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. R can be represented by 02, 21, etc. and B can be represented by 57, 76, etc. Similarly, you have to identify the set for the word KJAT.
MATRIX I
MATRIX II
Option 1: 04, 79, 20, 87
Option 2: 11, 67, 23, 75
Option 3: 30, 86, 01, 67
Option 4: 23, 89, 20, 87
Correct Answer: 04, 79, 20, 87
Solution : Given: KJAT
Number representations of each letter – K→04, 11, 23, 30, 42 J→55, 67, 79, 86, 98 A→01, 13, 20, 32, 44 T→56, 68, 75, 87, 99
First option: 04, 79, 20, 87; All the letters of the word KJAT can
Question : The value of $(\sqrt {4^3+15^2})^3$ is:
Option 1: 4913
Option 2: 4313
Option 3: 4193
Option 4: 3943
Correct Answer: 4913
Solution : $(\sqrt {4^3+ 15^2})^3$ $=(\sqrt {64+225})^3$ $=(\sqrt {289})^3$ $=(17)^3$ $=4913$ Hence, the correct answer is 4913.
The life of the church seems, indeed, to have been in a more stagnant and ______ condition in this age than at any other period of English history.
Option 1: tangential
Option 2: torpid
Option 3: expedite
Option 4: truculent
Correct Answer: torpid
Explanation:
The adjective torpid is the most suitable choice to fill in the blank. The sentence indicates that the life of the church appears to have been in a state of stagnation and inactivity during this age. Torpid
Question : A bus travels 60 km in the first hour, 40 km in the second hour and 50 km in the third hour. What is the average speed of the bus?
Option 1: 60 km/hr
Option 2: 45 km/hr
Option 3: 50 km/hr
Option 4: 55 km/hr
Correct Answer: 50 km/hr
Solution : The sum of the distances travelled in each of the three hours: Total distance = 60 km + 40 km + 50 km = 150 km Now, let's find the total time taken. ⇒ Total time = 1hour + 1hour + 1hour = 3hours
Question : Directions: What will come in the place of (?) in the following equation, if + and × are interchanged and also 5 and 9 are interchanged? 3 + 9 – 6 × 5 ÷ 3 = ?
Option 1: 10
Option 2: 16
Option 3: 12
Option 4: 14
Correct Answer: 12
Solution : Given: 3 + 9 – 6 × 5 ÷ 3 = ?
On interchanging the mathematical signs and numbers, we get – = 3 × 5 – 6 + 9 ÷ 3 = 3 × 5 – 6 + 3 = 15 – 6 +
Question : If LCM of two numbers is 72 and their product is 1728 , then what is the HCF of the numbers?
Option 1: 1
Option 2: 18
Option 3: 24
Option 4: 12
Correct Answer: 24
Solution : Product of LCM and HCF of two numbers = Product of two numbers So, 72 × HCF = 1728 ⇒ HCF = 24 Hence, the correct answer is 24.
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