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Question : If the seven-digit number 52A6B7C is divisible by 33, and A, B, and C are primes, then the maximum value of 2A + 3B + C is:
Option 1: 32
Option 2: 23
Option 3: 27
Option 4: 34
Correct Answer: 23
Solution : 5 + 2 + A + 6 + B + 7 + C = 20 + A + B + C Possible values of (A + B + C) = 1, 4, 7, 10, 13, 16, 19, 22, 25 Again, 5 + A + B
Question : Study the given pie chart and answer the question that follows. The pie chart shows the total expenditure of Rs. 3,00,00,000 on different items for constructing a flat in a town. The percentage of the total expenditure on Labour and Timber is:
Option 1: $30 \frac{5}{9} \%$
Option 2: $30 \frac{1}{3} \%$
Option 3: $30 \frac{1}{9} \%$
Option 4: $30 \frac{7}{9} \%$
Correct Answer: $30 \frac{5}{9} \%$
Solution : The pie chart represents the distribution of expenditure in degrees. The total expenditure on Labour and Timber is represented by an angle of 110° (65° for Labour and 45° for Timber). Since the total angle in a circle (or pie chart) is 360°,
Question : Direction: Study the bar graph given below, which shows the percent distribution of total expenditures of a company under various expenses, and answer the question.
If the interest on loans amounted to INR 2.45 crores, then the total amount of expenditure on advertisement, taxes, and research and development is:
Option 1: INR 7 crores
Option 2: INR 4.2 crores
Option 3: INR 5.4 crores
Option 4: INR 3 crores
Correct Answer: INR 4.2 crores
Solution : Let the total expenditure be INR $100x$. According to the question, Interest on Loans = 17.5% $\frac{17.5}{100} \times 100x = 24500000$ $⇒17.5x=24500000$ $⇒x=1400000$ Total expenditure = 14,00,00,000 Expenditure on advertisement = 15% Expenditure on taxes = 10% Expenditure on research = 5% Total
Question : Directions: Which two signs should be interchanged to make the given equation correct? 9 ÷ 3 + 7 = 4 – 6
Option 1: – and =
Option 2: ÷ and –
Option 3: + and –
Option 4: ÷ and =
Correct Answer: – and =
Solution : Given: 9 ÷ 3 + 7 = 4 – 6
Replace the given symbols according to the options one by one with the original symbols in the given equation. First option: – and = ⇒ 9 ÷ 3 + 7 – 4 =
Question : If $\frac{1}{a}–\frac{1}{b}=\frac{1}{a–b}$, then the value of $a^{3}+b^{3}$ is:
Option 1: 0
Option 2: –1
Option 3: 1
Option 4: 2
Correct Answer: 0
Solution : Given: $\frac{1}{a}–\frac{1}{b}=\frac{1}{a–b}$ ⇒ $\frac{b–a}{ab}=\frac{1}{a–b}$ ⇒ $(b–a)(a–b)=ab$ ⇒ $(a–b)^{2}=–ab$ ⇒ $a^{2}+b^{2}–2ab=–ab$ ⇒ $a^{2}+b^{2}=ab$ ⇒ $a^{2}+b^{2}-ab=0$ We know $a^3+b^3=(a+b)(a^2+b^2-ab)$ So, $a^3+b^3=0$ Hence, the correct answer is $0$.
Question : Directions: Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term. PRAY : UWFD :: MONK : RTSP :: FAIT : ?
Option 1: KEMY
Option 2: KFNY
Option 3: KENY
Option 4: KFMY
Correct Answer: KFNY
Solution : Given: PRAY : UWFD :: MONK : RTSP :: FAIT : ?
Like, PRAY : UWFD→P(16) + 5 = U(21); R(18) + 5 = W(23); A(1) + 5 = F(6); Y(25) + 5 = D(4) And, MONK : RTSP→M(13) + 5 = R(18); O(15) +
Question : Neeti wants to use an input device that works by sensing the user's finger movement and downward pressure. Which among the following should she use?
Option 1: Scanner
Option 2: Touchpad
Option 3: Light pen
Option 4: Keyboard
Correct Answer: Touchpad
Solution : The correct answer is Touchpad.
Neeti should use a touchpad. Touchpads are input devices that detect the movement and pressure of a user's finger on a flat surface. They are commonly found on laptops and are used for navigating the cursor on the screen, clicking,
Question : Cathode rays are a beams of:
Option 1: Neutrons
Option 2: Protons
Option 3: Positrons
Option 4: Electrons
Correct Answer: Electrons
Solution : The correct option is Electrons.
Cathode rays are a beam of electrons. They were first observed in the late 19th century in cathode ray tubes, and their discovery played a crucial role in the development of modern physics. The cathode rays are negatively charged
Question : Directions: In this question, some equations are solved based on a certain system. On the same basis, find out the correct answer out of the four alternatives for the unsolved equation. If 6 × 2 × 9 = 269, 8 × 7 × 1 = 781, then 4 × 1 × 3 = ?
Option 1: 431
Option 2: 413
Option 3: 341
Option 4: 143
Correct Answer: 143
Solution : Given: 6 × 2 × 9 = 269; 8 × 7 × 1 = 781
The third number remains at the third position while the first and second numbers swap positions. Like, 6 × 2 × 9 = 269 And, 8 × 7 × 1
Question : How many Lok Sabha seats are allotted to Goa as of the General Election 2019?
Option 1: 12
Option 2: 7
Option 3: 2
Option 4: 5
Correct Answer: 2
Solution : The correct answer is 2
There are 2 Lok Sabha seats allotted to the state of Goa as of the general election of 2019. North Goa and South Goa are the two Lok Sabha constituencies of Goa.
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