SSC CHSL Tier 1 2012 General Intelligence & Reasoning Questions with Solutions

Explanation

The phrase "the only daughter of my father" spoken by a woman refers to the woman herself. Substituting this back into the statement, "His wife is the only daughter of my father" translates to "His wife is me (the woman)". Since the woman is the man's wife, the man is her husband.

Explanation

The given letter series consists of six groups of letters, each preceded by a gap: _ a u l _ o e l o _ a _ u o i _ o e _ u a

By sequentially placing the letters of the set c, u, a, i, e, i from option C into these gaps, we get the following completed groups: c a u l u o e l o a a i u o i e o e i u a

In this completed series, the first letter of each group sequentially spells out the inserted letter set itself, which is c, u, a, i, e, i.

Explanation

The number of smaller cubes obtained from cutting a larger cube is determined by the ratio of their volumes.

Volume of a cube is calculated using the formula V = s³, where s is the side length of the cube.

For the larger cube of size 4 × 4 × 4, the volume is: Vₗarge = 4 × 4 × 4 = 64 cubic units

For the smaller cube of size 1 × 1 × 1, the volume is: Vₛmall = 1 × 1 × 1 = 1 cubic unit

To find the number of smaller cubes, divide the volume of the larger cube by the volume of the smaller cube: Number of cubes = Vₗarge / Vₛmall = 64 / 1 = 64

Explanation

The growth of the rabbit population is modeled by the exponential growth formula P = P₀ × 2ⁿ, where P₀ is the initial population and n is the number of doubling periods.

The number of doubling periods n in a total time of 6 months, with a doubling interval of 2 months, is calculated as: n = 6 ÷ 2 = 3

Substituting the initial population P₀ = 2 and the number of doubling periods n = 3 into the formula: P = 2 × 2³ = 2 × 8 = 16

Explanation

The word NATION contains the letter N twice, whereas the given word OPERATION contains the letter N only once. Because there is an insufficient number of the letter N in the source word, NATION cannot be formed.

Explanation

The word ROPE cannot be formed from the letters of CATASTROPHIC because it contains the letter E, which is not present in the word CATASTROPHIC.

Explanation

The coding scheme shifts each letter of the word forward by one position in the alphabetical sequence. For the word PAPER, the shift is: P → Q A → B P → Q E → F R → S

Following the same rule for the word APEPR: A → B P → Q E → F P → Q R → S

Explanation

The coding pattern shifts each letter of the original word one step backward in the alphabetical order. Applying this to RAJAN: R becomes Q, A becomes Z, J becomes I, A becomes Z, and N becomes M. Following the same rule for JARAN, J becomes I, A becomes Z, R becomes Q, A becomes Z, and N becomes M, which gives IZQZM.

Explanation

The code is generated by dividing the eight-letter word into three groups of sizes 3, 3, and 2, and then rearranging the letters in each group as follows:

First group of 3 letters (positions 1, 2, 3) remains unchanged: GIG remains GIG. Applying this to MIRACLES, MIR remains MIR.

Second group of 3 letters (positions 4, 5, 6) is rearranged such that the letters at positions 4, 5, and 6 are placed in the order of 6, 4, and 5: ANT becomes TAN. Applying this to MIRACLES, ACL becomes LAC.

Third group of 2 letters (positions 7, 8) is reversed: IC becomes CI. Applying this to MIRACLES, ES becomes SE.

Combining these parts, Miracles is written as MIRLACSE.

Explanation

The given sequence is formed by interleaving two alternating series of numbers, where one series consists of cubes and the other consists of squares of bases that decrease by 3 at each step.

The even-indexed terms (2nd, 4th, 6th, and 8th) represent the cubes of bases that decrease by 3 at each step: a₂ = 4³ = 64 a₄ = 1³ = 1 a₆ = (-2)³ = -8 a₈ = (-5)³ = -125

The odd-indexed terms (1st, 3rd, 5th, and 7th) represent the squares of bases that also decrease by 3 at each step: a₁ = 5² = 25 a₃ = 2² = 4 a₅ = (-1)² = 1 a₇ = (-4)² = 16

Following this alternating pattern, the missing seventh term is (-4)² = 16.

Explanation

In each row, the fourth number is the product of the first three numbers.

For the first row: 3 × 5 × 7 = 105

For the second row: 4 × 6 × 8 = 192

Applying this logic to the third row: 9 × 2 × 3 = 54

Explanation

The pattern in each column of the matrix is that the number in the fourth row is the product of the first three numbers in that column.

For the first column: 5 × 7 × 6 = 210

For the second column: 7 × 9 × 3 = 189

For the third column: 4 × 8 × 7 = 224

Explanation

The given series is composed of two independent patterns, one for the letter and one for the number.

The letter component follows a reverse alphabetical order: F → E → D → C → B

The number component doubles at each step, forming a geometric progression with a common ratio of 2: 2 → 4 → 8 → 16 → 32

Combining the missing letter E and the missing number 4 gives the term E4.

Explanation

To find the book at the bottom, we determine the top-to-bottom sequence using the relative positions given.

First, C is lying on D, so C is above D (C > D).

Second, D is lying above K, which links them as C > D > K.

Third, E is under K, which means K is above E, extending the sequence to C > D > K > E.

Fourth, F is lying under E, which means E is above F, resulting in the complete sequence of C > D > K > E > F.

F is the last book in this sequence.

Explanation

The given relationship represents the factorial of each odd number. The factorial of a positive integer n, denoted by n!, is calculated as the product of all positive integers less than or equal to n.

Using the factorial formula: n! = n × (n - 1) × (n - 2) × ... × 2 × 1

Applying this formula to the given numbers: 1! = 1 3! = 3 × 2 × 1 = 6 5! = 5 × 4 × 3 × 2 × 1 = 120

Following the same pattern for 7: 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

Explanation

The given conditions define a substitution of mathematical operators as follows: The symbol × (represented by x) stands for - (minus). The symbol + stands for ÷ (division). The symbol ÷ stands for + (addition). The symbol - stands for × (multiplication).

Applying these substitutions to the equation in Option A: 8 ÷ 10 - 3 + 5 × 6 = 8

Replacing the operators: The ÷ is replaced by + The - is replaced by × The + is replaced by ÷ The × is replaced by -

This transforms the equation into: 8 + 10 × 3 ÷ 5 - 6 = 8

According to the order of operations (BODMAS): First, perform the division: 3 ÷ 5 = 0.6 Next, perform the multiplication: 10 × 0.6 = 6 This simplifies the equation to: 8 + 6 - 6 = 8 Performing the final addition and subtraction gives: 14 - 6 = 8

Since the left-hand side equals the right-hand side, the equation is correct.

Explanation

Since A and B are walking towards each other from opposite ends of the road, their relative speed is the sum of their individual speeds.

Relative speed = 5 km/hr + 7 km/hr = 12 km/hr

The total distance covered by both of them in one hour is: Distance covered = Relative speed × Time = 12 km/hr × 1 hr = 12 km

To find how far apart they are after one hour, subtract the distance covered from the initial length of the road: Remaining distance = Total distance - Distance covered = 15 km - 12 km = 3 km

Explanation

The first statement indicates that business people experience tension, and the second statement establishes that tension leads to the development of heart diseases. Conclusion I does not follow because while tension is a risk factor for heart diseases, it does not imply that every business person suffering from tension has developed or will develop heart disease to become a patient. Conclusion II does not follow because the premises do not restrict tension or heart diseases exclusively to business people. People in other professions can also suffer from tension and consequently develop heart diseases. Therefore, both conclusions are logically invalid based on the given statements.

Explanation

Conclusion I logically follows because the statement directly implies that watching television interferes with a child's ability to concentrate on studies. Conclusion II does not follow because the premise makes no mention of, or connection to, a bright future for children.

Explanation

Since all authors are learned people and some doctors are authors, those doctors who are authors must also be learned people. This logically implies both that some doctors are learned people and that some learned people are doctors.