SSC CGL Tier 1 2011 General Intelligence & Reasoning Questions with Solutions

Explanation

The total number of boys who passed the examination can be calculated using the formula for ranking: Total = (Rank from Top + Rank from Bottom) - 1. Substituting the given values for Rajan, the number of passed boys is (11 + 31) - 1 = 41.

To find the total strength of the class, we must include all categories of students. This includes those who passed, those who did not take the examination, and those who failed. Therefore, Total Strength = Passed Boys + Boys who did not take exam + Failed Boys. Substituting the values, we get 41 + 3 + 1 = 45.

Explanation

Let the daughter's age be D, the mother's age be M, the brother's age be B, and the father's age be F. The problem provides the following linear relationships: M = 2D F = M + 10 B = M - 20 B = D + 5

By substituting the first equation into the third, the brother's age is expressed in terms of the daughter's age: B = 2D - 20

Since B is also equal to D + 5, these two expressions are equated: 2D - 20 = D + 5 2D - D = 20 + 5 D = 25

Using the daughter's age to find the mother's age: M = 2 × 25 = 50 years

The father's age is then calculated based on the mother's age: F = 50 + 10 = 60 years

Explanation

Rahul and Robin are brothers, and Pramod is their father. Sheela is Pramod's sister, which makes her Rahul's paternal aunt. Shubha is the granddaughter of Sheela. Since Rahul is the son of Sheela's brother, he belongs to the same generation as Sheela's children. In the family hierarchy, Rahul is one generation above Shubha. As the cousin of Shubha's parent, Rahul is classified as her uncle.

Explanation

To find the percentage of people who neither watch the news on TV nor read a newspaper, we use the principle of inclusion-exclusion for two sets. Let T represent the set of people who watch news on TV and N represent the set of people who read a newspaper.

According to the data provided: P(T) = 65% P(N) = 40% P(T ∩ N) = 25%

The percentage of people who either watch news on TV or read a newspaper (or both) is given by the formula: P(T ∪ N) = P(T) + P(N) - P(T ∩ N) P(T ∪ N) = 65% + 40% - 25% = 80%

Since the total population surveyed represents 100%, the percentage of people who do neither activity is: Neither = 100% - P(T ∪ N) Neither = 100% - 80% = 20%

Explanation

To find the day on August 15, 2000, we first determine the day of Independence Day in 1996. The number of days from January 26 to August 15, 1996, is calculated as follows: January (5 days remaining), February (29 days as 1996 is a leap year), March (31), April (30), May (31), June (30), July (31), and August (15). Total days = 5 + 29 + 31 + 30 + 31 + 30 + 31 + 15 = 202 days. Odd days = 202 7 = 6. Since Republic Day 1996 was a Friday, August 15, 1996, was Friday + 6 days = Thursday.

Next, we calculate the shift from August 15, 1996, to August 15, 2000. This period covers exactly 4 years. Within this interval, the leap day February 29, 2000, must be accounted for. Total odd days = 4 years + 1 leap day = 5 odd days. Adding 5 odd days to Thursday: Thursday → Friday → Saturday → Sunday → Monday → Tuesday.

Explanation

To determine the total number of persons in the family, we count each unique individual based on the relationships described. The family includes Mr. and Mrs. Gopal, which accounts for 2 individuals as the parents. There are 3 daughters. The statement that each daughter has one brother implies that there is a single son in the family, as that one son is the brother to all three sisters. By summing these members, the total count is:

Total = Parents (2) + Daughters (3) + Son (1) = 6

Explanation

To find when both cuckoos will come out together again, we must determine the Least Common Multiple (LCM) of their respective intervals, which are 16 minutes and 18 minutes. The prime factorization of 16 is 2⁴ and the prime factorization of 18 is 2 × 3². The LCM is calculated by taking the highest power of each prime factor present: LCM(16, 18) = 2⁴ × 3² = 16 × 9 = 144 minutes.

Converting 144 minutes into hours and minutes, we divide by 60: 144 / 60 = 2 hours and 24 minutes. Since both clocks started together at 12:00 noon, the next time they will coincide is 2 hours and 24 minutes later. Adding this duration to 12:00 noon results in 2:24 PM.

Explanation

Let x be the number of fruits in the first basket. According to the problem, the number of fruits in the second basket is x/2 and the number of fruits in the third basket is 3x/4. Since the average of the fruits in the three baskets is 30, the total sum of fruits is 30 × 3 = 90.

The relationship can be expressed by the equation: x + ˣ⁄₂ + ³ˣ⁄₄ = 90

To solve for x, multiply the entire equation by 4 to clear the denominators: 4x + 2x + 3x = 360 9x = 360 x = ³⁶⁰⁄₉ = 40

Explanation

To determine the distance from the starting point, we represent the movements on a Cartesian plane. Let the starting house be at the origin (0, 0). Walking 5 km North moves the position to (0, 5). Turning right and walking 3 km East changes the position to (3, 5). Finally, walking 1 km South reduces the North-South displacement, resulting in the final coordinates (3, 5 - 1) or (3, 4).

The direct distance from the house (0, 0) to the final position (3, 4) is the hypotenuse of a right-angled triangle with a base of 3 km and a height of 4 km. Using the Pythagorean theorem: Distance = √(3² + 4²) Distance = √(9 + 16) Distance = √(25) Distance = 5 km

Explanation

Let A be at origin (0, 0) and B be at (20, 0) on a horizontal East-West axis. A walks 5 km East to reach (5, 0), while B walks 5 km West to reach (15, 0). A then turns left, which is North, and walks 10 km to position (5, 10). B turns right, which is also North, and walks 10 km to position (15, 10). In the final step, both turn left (West) and walk 5 km. A moves from (5, 10) to (5 - 5, 10) = (0, 10). B moves from (15, 10) to (15 - 5, 10) = (10, 10). Since both are at the same vertical level y = 10, the distance between them is the horizontal difference |10 - 0| = 10 km.

Explanation

The word REFORMATION contains the letters R, E, F, O, M, A, T, I, and N. To form the word REFRACT, the letter C is required. Since the letter C is not available in the given word REFORMATION, it is impossible to construct the word REFRACT from the provided letters.

Explanation

The word FACE consists of the letters F, A, C, and E. Upon examining the source word MANUFACTURE, it is evident that all these required letters are present. MANUFACTURE contains one F, two A letters, one C, and one E. Because each letter needed to construct FACE exists within the original word in at least the required frequency, the word can be fully formed using the available letters.

Explanation

The coding follows an incremental addition pattern where each subsequent letter of the word is shifted forward by an increasing number of positions in the alphabetical sequence. For the word PLAYER, the pattern is: P + 1 = Q L + 2 = N A + 3 = D Y + 4 = C E + 5 = J R + 6 = X

Applying this same incremental logic to the word SINGER, we shift each letter according to its position in the word: S + 1 = T I + 2 = K N + 3 = Q G + 4 = K E + 5 = J R + 6 = X

The resulting code for SINGER is TKQKJX.

Explanation

The coding follows a direct positional substitution method where each digit corresponds to a specific letter based on its placement in the given strings. From the sequence 2436 mapped to ALUR, we determine that 2 corresponds to A, 4 corresponds to L, and 3 corresponds to U. From the sequence 95789 mapped to EGKPT, we identify that 5 corresponds to G. The digit 9 appears twice in the first sequence, mapping to E at the start and T at the end; since 9 is the last digit in the target number 24539, it corresponds to the letter T. Substituting these values into 24539 gives A, L, G, U, and T in order, forming the code ALGUT.

Explanation

White clothes are preferred in summer because they have a high albedo, meaning they reflect most of the incident solar radiation and radiant heat back into the atmosphere. Since light-colored surfaces are poor absorbers of thermal energy, white fabric minimizes the amount of heat transferred from the sun to the body. This reflective property helps maintain a lower body temperature and provides a cooling effect in hot weather conditions.

Explanation

The given operators are substituted as follows: + becomes ×, - becomes ÷, × becomes +, and ÷ becomes -. Applying these changes to the expression in option a:

16 × 5 ÷ 10 + 4 - 3

According to the order of operations (BODMAS), the division is performed first: 5 ÷ 10 = 0.5

Next, the multiplication is performed: 16 × 0.5 = 8

Finally, the addition and subtraction are performed sequentially: 8 + 4 - 3 = 12 - 3 = 9

Since the calculated value matches the value on the right-hand side of the equation, the equation is correct.

Explanation

Let the starting point be represented by the coordinates (0, 0) on a Cartesian plane where the y-axis represents the North-South direction and the x-axis represents the East-West direction. Walking 8 km North moves the man to (0, 8). Turning right (East) and walking 12 km changes his position to (12, 8). He then turns left to face North and walks 7 km, reaching (12, 15). From this point, he turns to walk 24 km South, which adjusts his y-coordinate to 15 - 24 = -9, placing him at (12, -9). At this stage, he is facing South. Turning right while facing South means he is now heading West. Walking 12 km West changes his x-coordinate to 12 - 12 = 0. His final position is (0, -9). Since this point lies directly below the origin on the y-axis, he is in the South direction relative to his starting point.