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Question : Directions: In the following question, from the given alternative words, select the word that cannot be formed using the letters of the given word. CALCULATE
Option 1: CAT
Option 2: TEA
Option 3: LATE
Option 4: TEAM
Correct Answer: TEAM
Solution : Given: CALCULATE
Now, let's compare all the option words with the word CALCULATE – First option: CAT; All the letters of CAT are present in the word CALCULATE. Second option: TEA; All the letters of TEA are present in the word CALCULATE. Third option: LATE;
Question : Directions: If R ÷ S means that R is the mother of S, R × S means that R is the father of S and R – S means that R is the sister of S, then which of the following expressions shows that P is the father of R?
Option 1: P × Q ÷ R
Option 2: Q × P – R
Option 3: R × Q – P
Option 4: P × Q – R
Correct Answer: P × Q – R
Solution : Let's check the options – First option: P × Q ÷ R According to the given expression, the family tree will be as follows – Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
Question : Directions: Town C is to the south of Town A. Town D is to the west of Town A. Town B is to the east of Town D. Town M is to the south of Town B and south-east of Town C. What is the position of town A with respect to town B?
Option 1: East
Option 2: West
Option 3: North
Option 4: South
Correct Answer: West
Solution : Firstly, we will draw the diagram as per the given instructions –
So, from the above diagram, A is in the west direction concerning B's position. Hence, the second option is correct.
Question : If $2A=3B$, then what is the value of $\frac{A+B}{A}$?
Option 1: $\frac{5}{4}$
Option 2: $\frac{2}{3}$
Option 3: $\frac{5}{2}$
Option 4: $\frac{5}{3}$
Correct Answer: $\frac{5}{3}$
Solution : Given: $2A=3B$ ⇒ $\frac{A}{B}=\frac{3}{2}$ Let, $A=3k,B=2k$ $\frac{A+B}{A}=\frac{3k+2k}{3k}=\frac{5}{3}$ Hence, the correct answer is $\frac{5}{3}$.
Question : A single discount equivalent to three successive discounts of 8%, 15% and 12% is:
Option 1: 17.5%
Option 2: 68.816%
Option 3: 35%
Option 4: 31.184%
Correct Answer: 31.184%
Solution : The successive discounts are 8%, 15% and 12%. Let the initial value be 100. Discounted value = (100 – 8)% of (100 – 15)% of (100 – 12)% of 100 = 92% of 85% of 88% of 100 = $\frac{92}{100} × \frac{85}{100} × \frac{88}{100} ×
Question : In a circle with a radius 20 cm, P is a point located at a distance of y cm from the centre of the circle. If the length of a tangent drawn from point P to the circle is 21 cm, find the value of y.
Option 1: 31 cm
Option 2: 28 cm
Option 3: 29 cm
Option 4: 25 cm
Correct Answer: 29 cm
Solution : Given that OP = y cm, QP = 21 cm, OQ = 20 cm. To find the length of OP, apply Pythagoras theorem in $\triangle$OPQ. ⇒ OQ2 + QP2 = OP2 ⇒ 202 + 212 = y2 ⇒
Question : Directions: Select the figure from the given options that can replace the question mark (?) and complete the pattern.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the first option is correct.
Question : A sum was doubled with a 12.5% rate of simple interest per annum. Then time taken for that sum to be doubled is:
Option 1: $8\frac{1}{2}$ years
Option 2: 8 years
Option 3: 10 years
Option 4: $12\frac{1}{2}$ years
Correct Answer: 8 years
Solution : Let the principal be $P$. Sum = $2P$ Let the time be $T$. $\therefore$ Simple interest = Amount – Principal = $2P-P=P$ We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ $T=\frac{P×100}{P×12.5}$ ⇒ $T=\frac{1000}{125}$ $\therefore T$ = 8 years Hence, the correct
Question : Who among the following has not received the Nobel Prize?
Option 1: Jawaharlal Nehru
Option 2: Kailash Satyarthi
Option 3: Har Gobind Khorana
Option 4: Mother Teresa
Correct Answer: Jawaharlal Nehru
Solution : The correct option is Jawaharlal Nehru.
Three researchers—Har Gobind Khorana, Marshall W. Nirenberg, and Robert W. Holley—shared the 1968 Nobel Prize for physiology or medicine. In 1979, Mother Teresa won the Nobel Peace Prize for her efforts in the global movement against poverty
Question : Directions: In the following question, some parts of the sentence may have error. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
The teacher (1) / explained everything (2) /very clearly. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct answer is the fourth option.
Since the sentence is grammatically accurate and doesn't need any change, the answer is no error. The sentence conveys the idea that the teacher taught everything in a very easy-to-understand manner.
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