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Question : On dividing a number by 38, we get 90 as the quotient and 19 as the remainder. What is the number?
Option 1: 3401
Option 2: 3382
Option 3: 3458
Option 4: 3439
Correct Answer: 3439
Solution : Given: Divisor = 38, Quotient = 90 and Remainder = 19 We know, Dividend = (Divisor × Quotient) + Remainder = (38 × 90) + 19 = 3420 + 19 = 3439 Hence, the correct answer is 3439.
Question : If $\sqrt{\frac{\mathrm{a}}{\mathrm{b}}}=\frac{8}{3}-\sqrt{\frac{\mathrm{b}}{\mathrm{a}}}$ and $a-b=10$, then the value of $ab$ is:
Option 1: $32 \frac{1}{7}$
Option 2: $32 \frac{3}{7}$
Option 3: $32 \frac{4}{7}$
Option 4: $32 \frac{2}{7}$
Correct Answer: $32 \frac{1}{7}$
Solution : Given: $\sqrt{\frac{\mathrm{a}}{\mathrm{b}}}=\frac{8}{3}-\sqrt{\frac{\mathrm{b}}{\mathrm{a}}}$ ⇒ $\sqrt\frac{a}{b} + \sqrt\frac{b}{a} = \frac{8}{3}$ Squaring both sides, we have, ⇒ $\frac{a}{b}+\frac{b}{a}+2=\frac{64}{9}$ ⇒ $\frac{a^2 + b^2}{ab} = \frac{64-18}{9}$ ⇒ $a^2 + b^2 = \frac{46ab}{9}$ Now, $a-b=10$ Squaring both sides, ⇒ $a^2 + b^2 - 2ab = 100$ ⇒ $\frac{46ab}{9} - 2ab
Question : Which organisation measures the Gross Domestic Product in India?
Option 1: RBI
Option 2: NITI Aayog
Option 3: SBI
Option 4: Central Statistics Office
Correct Answer: Central Statistics Office
Solution : The correct option is the Central Statistics Office.
The Central Statistics Office (CSO) in India, operating under the Ministry of Statistics and Programme Implementation, is entrusted with the task of calculating and disseminating economic data such as Gross Domestic Product (GDP). This government
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words should be treated as meaningful English words and should not be associated with each other based on the number of letters/number of consonants/number of vowels in the word.) Fountain Pen : Waterman :: Telescope : ?
Option 1: Galileo
Option 2: Macmillan
Option 3: Robert Hooke
Option 4: Newton
Correct Answer: Galileo
Solution : Given: Fountain Pen : Waterman :: Telescope : ?
Like, the Fountain pen was invented by Waterman. Similarly, the Telescope was invented by Galileo.
Hence, the first option is correct.
Question : Rani's weight is 25% that of Meena's and 40% that of Tara's. What percentage of Tara's weight is equal to Meena's weight?
Option 1: 160%
Option 2: 140%
Option 3: 120%
Option 4: 100%
Correct Answer: 160%
Solution : 25% = $\frac{1}{4}$ So, Rani : Meena = 1 : 4 = 2 : 8 Now, 40% = $\frac{2}{5}$ So, Rani : Tara = 2 : 5 Now, the ratio of Rani : Meena : Tara = 2 : 8 : 5 Let the weight
Question : A, B and C started a business by investing INR 13,750, INR 16,250 and INR 18,750, respectively. If B's share in the profit earned by them is INR 5,200, what is the total profit (in INR) earned by them together?
Option 1: 18,200
Option 2: 17,500
Option 3: 15,600
Option 4: 16,600
Correct Answer: 15,600
Solution : Investment of A = INR 13,750 Investment of B = INR 16,250 Investment of C = INR 18,750 The ratio of investments = 13750 : 16250 : 18750 = 11 : 13 : 15 Let $x$ be the total profit. B's share of profit =
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 63, 64, 60, 69, 53, ?
Option 1: 77
Option 2: 76
Option 3: 88
Option 4: 78
Correct Answer: 78
Solution : Given: 63, 64, 60, 69, 53, ?
In the above-given series, add and subtract alternately the square of the consecutive natural numbers. 63 + 12 = 63 + 1 = 64 64 – 22 = 64 – 4 = 60 60 + 3
Question : A shopkeeper allows a 20 percent discount on the marked price of an article and he suffers a loss of 5 percent. If the article is sold at marked price, then what will be the profit percentage?
Option 1: 8.33 percent
Option 2: 16.25 percent
Option 3: 18.75 percent
Option 4: 17.25 percent
Correct Answer: 18.75 percent
Solution : Here, MP denotes the marked price, CP denotes the cost price. Discount = 20% Loss = 5% $\frac{\text{MP}}{\text{CP}} = \frac{(100-\text{Loss})}{(100-\text{Discount})}$ ⇒ $\frac{\text{MP}}{\text{CP}} = \frac{(100-5)}{(100-20)}$ ⇒ $\frac{\text{MP}}{\text{CP}} = \frac{95}{80}= \frac{19}{16}$ If there is no discount, means discount = 0%, then profit % $\frac{\text{MP}}{\text{CP}} = \frac{(100+\text{Profit})}{(100-\text{Discount})}$
Question : Directions: Select the option figure in which the given figure (X) is embedded as its part (Rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the third option figure.
Hence, the third option is correct.
Question : Select the word which means the same as the group of words underlined in the given sentence. The pandemic deeply affected small business owners, as they have no means of livelihood left.
Option 1: Pauper
Option 2: Worker
Option 3: Unemployed
Option 4: Mason
Correct Answer: Pauper
Solution : The first option is the correct choice.
Explanation: The word that means the same as the group of words underlined in the given sentence is pauper. In the sentence, the phrase "small business owners" who "have no means of livelihood left" suggests that these individuals
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