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Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (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.) (21, 33, 31) (42, 17, 26)
Option 1: (36, 14, 35)
Option 2: (46, 19, 24)
Option 3: (35, 27, 29)
Option 4: (32, 39, 20)
Correct Answer: (36, 14, 35)
Solution : Given: (21, 33, 31) (42, 17, 26)
Adding all the numbers in the set – ⇒ (21, 33, 31)→21+ 33 + 31 = 85 ⇒ (42, 17, 26)→42 + 17 + 26 = 85
Let's check the options – First option: (36, 14,
Question : Select the option that can be used as a one-word substitute for the given group of words.
The study of coins
Option 1: Currency
Option 2: Minting
Option 3: Numismatics
Option 4: Barter
Correct Answer: Numismatics
Solution : The correct one-word substitute for the given group of words is the third option.
"Numismatics" is the field of study that specifically focuses on coins, their history, and their collection and is the appropriate choice.
The meanings of the other options are as follows:
"Currency"
Question : If the income of R is 30% more than the income of Q and the income of Q is 20% more than the income of P, then the income of R is how much percent more than the income of P?
Option 1: 50%
Option 2: 10%
Option 3: 56%
Option 4: 55%
Correct Answer: 56%
Solution : Let the income of P be 100. So, the income of Q = 100 × 1.2 = 120 Income of R = 120 × 1.3 = 156 R's income is more than P's income by: = $\frac{156–100 }{100}$ × 100 = $\frac{56}{100}$ × 100 =
Question : Direction: In this question, some equations are solved on the basis of a certain system. On the same basis find out the corrective alternative for the unsolved equation.
1 x 2 x 3 = 231
3 x 4 x 5 = 453
5 x 6 x 7 = ?
Option 1: 657
Option 2: 675
Option 3: 756
Option 4: 765
Correct Answer: 675
Solution : Here, the given equations follows a pattern in which the first number, the middle number and the last number in LHS becomes the units place digit , the hundreds place digit and the tens place digit in the answer part in RHS respectively.
⇒ 1
Question : Identify the segment in the sentence which contains the grammatical error.
I have acquire a feeling of self-confidence and courage.
Option 1: I have
Option 2: acquire a feeling
Option 3: of self-confidence
Option 4: and courage
Correct Answer: acquire a feeling
Solution : The error lies in the second option.
The error lies in the use of the base form of the verb acquire without the appropriate past participle acquired. In this context, when expressing that the feeling of self-confidence and courage has been obtained in
Question : What is that rate of simple interest at which a sum of money becomes three times itself in 36 years?
Option 1: 7.28%
Option 2: 6.86%
Option 3: 5.55%
Option 4: 6.28%
Correct Answer: 5.55%
Solution : According to the question: ⇒ Principal + Interest = 3 × Principal ⇒ $P + \frac{P× R×T}{100} = 3P$ ⇒ $P(1 + \frac{R × T}{100}) = 3P$ ⇒ $(1 + \frac{R × T}{100}) = 3$ ⇒ $\frac{R × 36}{100} = 2$ ⇒ $R = \frac{200}{36}$
Question : If $\frac{\cos ^2 \theta}{\cot ^2 \theta–\cos ^2 \theta}=3$, where $0^{\circ}<\theta<90^{\circ}$ then the value of $\theta$ is:
Option 1: $45^{\circ}$
Option 2: $50^{\circ}$
Option 3: $60^{\circ}$
Option 4: $30^{\circ}$
Correct Answer: $60^{\circ}$
Solution : Given: The value of $\frac{\cos ^2 \theta}{\cot ^2 \theta–\cos ^2 \theta}=3$, where $0^{\circ}<\theta<90^{\circ}$. Use the trigonometric identity, $\sin^2 \theta+\cos^2 \theta=1$. $\frac{\cos ^2 \theta}{\cot ^2 \theta–\cos ^2 \theta}=3$ ⇒ $\cos ^2 \theta=3(\cot ^2 \theta–\cos ^2 \theta)$ ⇒ $\cos ^2 \theta=3(\frac{\cos ^2 \theta}{\sin^2 \theta}–\cos ^2 \theta)$ Dividing
Question : In the following figure, if l || m, then find the measures of angles marked by a and b.
Option 1: a = 90$^{\circ}$ and b = 90$^{\circ}$
Option 2: a = 55$^{\circ}$ and b = 125$^{\circ}$
Option 3: a = 70$^{\circ}$ and b = 110$^{\circ}$
Option 4: a = 60$^{\circ}$ and b = 120$^{\circ}$
Correct Answer: a = 70$^{\circ}$ and b = 110$^{\circ}$
Solution : Since $l \parallel m$, ⇒ $\angle$ c = 110$^{\circ}$ (corresponding angles are equal) Also, $\angle$ a + $\angle$ c = 180$^{\circ}$ (supplementary angles) ⇒ $\angle$ a = 180$^{\circ}$ – 110$^{\circ}$ = 70$^{\circ}$ Now, $\angle$ b = $\angle$ a +
Question : A, B and C started a business with their capitals in the ratio 4 : 2 : 9. At the end of every quarter, A halves his capital, whereas B doubles his capital and C leaves his capital unchanged. If at the end of a year, A's profit was Rs. 24,000, then what is the total profit?
Option 1: Rs. 2,30,400
Option 2: Rs. 2,25,600
Option 3: Rs. 2,16,000
Option 4: Rs. 2,35,200
Correct Answer: Rs. 2,35,200
Solution : The initial capitals of A, B, and C are in the ratio 4 : 2 : 9. Let their initial capitals as 4k, 2k, and 9k respectively. In a year, there are 4 quarters. At the end of every quarter, A halves his capital,
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given set. (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.) (6, 17, 408) (13, 27, 1404)
Option 1: (9, 27, 245)
Option 2: (17, 28, 952)
Option 3: (5, 82, 1200)
Option 4: (4, 26, 416)
Correct Answer: (4, 26, 416)
Solution : Given: (6, 17, 408); (13, 27, 1404)
Multiply the first and the second numbers and then multiply the resultant by four to get the third number of the triad. (6, 17, 408)→6 × 17 = 102; 102 × 4 = 408 (13, 27,
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