Question 1 to 10 Solutions
Q.1.“I cannot support this proposal. My __ will not permit it.”
a) conscious
b) consensus
c) conscience
d) consent
Ans. (c)
Explanation :- Option (c) is the correct spelling and suits here perfectly.
So, option (c) is the correct answer.
Q.2. Courts : _ : : Parliament : Legislature
(By word meaning)
a) Judiciary
b) Executive
c) Governmental
d) Legal
Ans. (a)
Explanation :– This is an example of analogy.
As Parliament is for legislature . Similarly Court is for Judiciary.
Therefore, option (a) is the correct answer.
Q.3. What is the smallest number with distinct digits whose digits add up to 45?
a) 123555789
b) 123457869
c) 123456789
d) 99999
Ans. (c)
Explanation :- The correct option is (c) . The digits should be distinct and smallest number is 123456789.
Q.4. In a class of 100 students,
(i) there are 30 students who neither like romantic movies nor comedy movies,
(ii) the number of students who like romantic movies is twice the number of students who like comedy movies, and
(iii) the number of students who like both romantic movies and comedy movies is 20.
How many students in the class like romantic movies?
a) 40
b) 20
c) 60
d) 30
Ans.(c)
Explanation :- Consider that the student who like Romantic movies = R
Student who like comedy movies = C
IT is given that, R=2C
And 30 student neither like Romantic nor Comedy movies
100-30=70=n(R ⋂ C)
n(C⋂R)=20
By the formula,
n(R⋂C) = n(R) + n(C) – n(C ⋂ R)
70 = 2C + C- 20
3C = 90
C=30
R=2C = 2 x 30 = 60
Option (c) is the correct answer.
Q.5. How many rectangles are present in the given figure?
a) 8
b) 9
c) 10
d) 12
Ans. (c)
Explanation :- The number of rectangles =10 as square is also called as rectangle.
OPtion (c) is the correct answer.
Q.6. Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures that have claws are ferocious.
Based only on the information provided above, which one of the following options can be logically inferred with certainty?
a) All creatures with claws are animals.
b) Some creatures with claws are non-ferocious.
c) Some non-ferocious creatures have claws.
d) Some ferocious creatures are creatures with claws.
Ans. (d)
Explanation :-
Based on the given information, we know that:
- Forestland is inhabited by different kinds of creatures, all of whom are ferocious animals.
- There are creatures with claws and some do not have them, and all creatures with claws are ferocious.
a) All creatures with claws are animals.
This statement cannot be true as the given information does not specify whether all creatures with claws are animals.
b) Some creatures with claws are non-ferocious.
This statement is also not true, as the information states that all creatures with claws are ferocious.
c) Some non-ferocious creatures have claws.
Not confirmed, as the information doesn’t provide any indication of non-ferocious creatures having claws
d) Some ferocious creatures are creatures with claws.
This statement is true. As the information explicitly states that all creatures with claws are ferocious. So, there must be ferocious creatures with claws.
So, option (d) is the correct answer.
Q.7. Which one of the following options represents the given graph?
a) f(x)=x^{2}2^{|x|}
b) f(x)=x 2^{|-x|}
c) f(x)=|x |2^{|-x|}
d) f(x)=x2^{|-x|}
Ans. (a)
Explanation :- AS the given function is an eve function.
Therefore, option (d) represents the even function.
Q.8. Which one of the following options can be inferred from the given passage alone?
When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine that I could just gaze off into space and be whisked to another planet.
[Excerpt from The Truth about Stories by T. King]
a) It is a child’s description of what he or she likes.
b) It is an adult’s memory of what he or she liked as a child.
c) The child in the passage read stories about interplanetary travel only in parts.
d) It teaches us that stories are good for children.
Ans. (b)
Q.9. Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid-positive individuals. The strategy is to:
(i) Collect saliva samples from all 1000 individuals and randomly group them into sets of 5.
(ii) Mix the samples within each set and test the mixed sample for covid.
(iii) If the test done in (ii) gives a negative result, then declare all the 5 individuals to be covid negative.
(iv) If the test done in (ii) gives a positive result, then all the 5 individuals are separately tested for covid.
Given this strategy, no more than _ testing kits will be required to identify all the 100 covid positive individuals irrespective of how they are grouped.
a) 700
b) 600
c) 800
d) 1000
Ans. (a)
Q.10. A 100 cm×32 cm rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions 100 cm×1 cm.
The total number of creases visible when the sheet is unfolded is _.
a) 32
b) 5
c) 31
d) 63
Ans.(c)
Explanation :- When we fold Paper 5 times = 1+21+22+23+24
= 1+2+4+8+16 = 31
Therefore, option (c) is the correct answer.