G Strategy: Find the Connections rather than odd man out! Nonhomogeneous G Strategy | Slot 1 CAT 2024 Question with Answer and Explanation Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the … Read more
G Strategy: Find the Connections rather than odd man out! Lone Wolf G Strategy | Slot 1 CAT 2024 Question with Answer and Explanation Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify … Read more
The number of distinct integer solutions (x, y) of the equation |x + y| + |x – y| = 2, is If 10^68 is divided by 13, the remainder is1) 8 2) 9 3) 4 4) 5 Find the number of all positive integers up to 500 with non-repeating digits. Show/Hide Solution Type of Number … Read more
After two successive increments, Gopal’s salary became 187.5% of his initial salary. If the percentage of salary increase in the second increment was twice of that in the first increment, then the percentage of salary increase in the first increment was ?1) 252) 203) 27.54) 30 A regular octagon ABCDEFGH has sides of length 6 cm each. Then the … Read more
Surd Algebra Question Q1 \( a \) and \( b \) are natural numbers, then the value of \( a + b \) is: \[ (a + b\sqrt{3})^2 = 52 + 30\sqrt{3} \] Sequence Sum Solution Q2 Consider the sequence: \[ t_1 = 1, \quad t_2 = -1, \quad t_n = \left( \frac{n – 3}{n … Read more
Question 1 Roots and Expression Value The roots \( \alpha, \beta \) of the equation \( 3x^2 + \lambda x – 1 = 0 \) satisfy \[ \frac{1}{\alpha^2} + \frac{1}{\beta^2} = 15. \] The value of \( (\alpha^3 + \beta^3)^2 \) is: Question 2 Trapezium + Triangles ABCD is a trapezium in which AB is … Read more
Ques 1 When 3^333 is divided by 11, the remainder is Ques 2 A function f maps the set of natural numbers to whole numbers, such that f(xy) = f(x)f(y) + f(x) + f(y) for all x, y and f(p) = 1 for every prime number p. Then, the value of f(160000) is 1) 4095 2) 1023 … Read more
Inequality Question All the values of \( x \) satisfying the inequality \( \frac{1}{x + 5} \leq \frac{1}{2x – 3} \) are: 1) \( -5 < x < \frac{3}{2} \) or \( x > \frac{3}{2} \) 2) \( -5 < x < \frac{3}{2} \) or \( \frac{3}{2} < x \leq 8 \) 3) \( x ... Read more
Ages + RatiosWhen Rajesh’s age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima’s age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima will become 1) 2 : 12) 3 : 23) 4 : 34) 5 : 4 Mixtures … Read more
MathJax Inequality Region Area In the XY-plane, the area, in sq. units, of the region defined by the inequalities \( y \geq x + 4 \) and \( -4 \leq x^2 + y^2 + 4(x – y) \leq 0 \) is: 1. \( 3\pi \) 2. \( 2\pi \) 3. \( 4\pi \) 4. \( … Read more
MathJax Question Let \( x, y, \) and \( z \) be real numbers satisfying: \( 4(x^2 + y^2 + z^2) = a \), \( 4(x – y – z) = 3 + a \). Then \( a \) equals: 1. \( 1 \) 2. \( 4 \) 3. \( 3 \) 4. \( 1 … Read more
MathJax Question For any natural number \( n \), let \( a_n \) be the largest integer not exceeding \( \sqrt{n} \). Then the value of \( a_1 + a_2 + \cdots + a_{50} \) is When 10^100 is divided by 7, find the remainder. a. 1 b. 6 c. 3 d. 4
Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches … Read more
Ratios + Simple Equations A fruit seller has a total of 187 fruits consisting of apples, mangoes and oranges. The number of apples and mangoes are in the ratio 5 : 2. After she sells 75 apples, 26 mangoes and half of the oranges, the ratio of number of unsold apples to number of unsold … Read more
Passage Summary Quiz Passage Summary Quiz Q1: The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage. **Passage:** Certain codes may, of course, be so widely distributed in a specific language community or culture, and be learned at so early an age, that they … Read more
Passage Summary Quiz Passage Summary Quiz Q1: The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage. **Passage:** Different from individuals, states conduct warfare operations using the DIME model— “diplomacy, information, military, and economics.” Most states do everything they can to inflict pain and … Read more
Quiz: Passage Summaries Quiz: Passage Summaries Q1: The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage. **Passage:** When the tradwife puts on that georgic, pinstriped dress, she is not just admiring the visual cues of a fantastical past. She takes these dreams of … Read more
Quiz: Identify the Odd Sentence Quiz: Identify the Odd Sentence Q1: Five jumbled up sentences (labelled 1, 2, 3, 4, and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your … Read more
Quiz: Identify the Odd Sentence Quiz: Identify the Odd Sentence Q1: Five jumbled up sentences (labelled 1, 2, 3, 4, and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your … Read more
Quiz: Identify the Odd Sentence Quiz: Identify the Odd Sentence Q1: Five jumbled up sentences (labelled 1, 2, 3, 4, and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your … Read more