Explanation :

Hour hand and Minute hand of the clock

Let’s solve this step by step:

1) When hands make 180°, they point in opposite directions.

2) At 7:00:
– Hour hand moves (7/12 × 360°) = 210° from start
– Minute hand at 0°
– Angle = 210° (not 180°)

3) In 1 hour:
– Hour hand moves 30°
– Minute hand moves 360°

4) In 1 minute:
– Hour hand moves 0.5°
– Minute hand moves 6°

5) At 7:05:
– Hour hand: 210° + (5 × 0.5°) = 212.5°
– Minute hand: 5 × 6° = 30°
– Angle = 182.5° (not 180°)

6) Between 7:05 and 7:10, at approximately 7:06, the hands form exactly 180°.

Therefore, the answer is (d) Between 7:05 hours and 7:10 hours.

Explanation : 

MATHEMATICS – CHEMISTRY

According to the pattern:
For odd positions (1,3,5,7,9,11): Subtract 1
For even positions (2,4,6,8,10): Add 1

MATHEMATICS → LBSIDNZUHDR
CHEMISTRY → BIDLHTSSX

Therefore, answer is (c) BIDLHTSSX

Explanation : 

P scored 40 marks more than Q in an examination

Given:
– P scored x marks
– P scored 40 marks more than Q
– Q scored 10% less than P

Step 1: Initial Equations
– Q’s marks = x – 40 (40 less than P)
– Q’s marks = 0.9x (10% less than P)

Step 2: Solve for x
– x – 40 = 0.9x
– x – 0.9x = 40
– 0.1x = 40
– x = 400

Final Scores:
– P scored 400 marks
– Q scored 360 marks (400 – 40)

Explanation : 

The given series is: _b_a_ba_b_abab_aab

The pattern being followed in the above series is: abb, then aab. Again abb, and then aab, and so on.
The blanks have been highlighted below:
a b b / a a b / a b b / a ab / ab b / aab

Explanation : 

Three points P,Q and R on straight line

CASE – 1
Assuming PQ = 3x, QR = 5x and PR = PQ + QR, we get
PQ : PR = 3x : (3x + 5x)
⇒ PQ : PR = 3 : 8

CASE – 2
Assuming PQ = 3x, QR = 5x and PR = QR – PQ, we get
PQ : PR = 3x : (5x – 3x)
⇒ PQ : PR = 3 : 2

So, we have n = 2 possible values.

Explanation : 

X & Y Age Relationship Analysis

Given:
– X’s present age = 42 years
– At Y’s birth, X was twice Y’s current age
– Let Y’s present age = y

Step 1: Initial Equation
– 42 – y = 2y (X’s age at Y’s birth = 2 × Y’s current age)
– 42 = 3y
– Therefore, y = 14 (Y’s current age)

Step 2: Testing Statement 1 (8 years ago)
– X’s age: 42 – 8 = 34
– Y’s age: 14 – 8 = 6
– Check: 34 ≠ 5 × 6 (30)
– Result: Statement 1 is false

Step 3: Testing Statement 2 (14 years later)
– X’s age: 42 + 14 = 56
– Y’s age: 14 + 14 = 28
– Check: 56 = 2 × 28
– Result: Statement 2 is true

Answer: Only Statement 2 is correct.

Explanation : 

Joseph visits the club on every 5th day

– Joseph visits every 5th day
– Harsh visits every 24th day
– Sumit visits every 9th day
– They first meet on a Sunday

Solution Method:
1. Find LCM of visit intervals (5, 24, 9)
– LCM = 360 days

2. Calculate odd days
– 360 ÷ 7 = 51 weeks + 3 days
– Extra days after complete weeks = 3

3. Count days from Sunday
– Starting day: Sunday
– Add 3 days
– Final day: Wednesday

Answer: (b) Wednesday

Explanation : 

Relations between radios, mobiles, computers, and watches

Given statements:
1. Some radios are mobiles
2. All mobiles are computers
3. Some computers are watches

Analysis of conclusions:

Conclusion I: “Some radios are watches”
– We can only say some radios are computers
– We can’t establish a definite connection between radios and watches
– Not valid

Conclusion II: “Some mobiles are watches”
– All mobiles are computers
– But only some computers are watches
– No definite connection between mobiles and watches
– Not valid

Answer: (d) Neither Conclusion-I nor Conclusion-II follows

Explanation : 

In a class 60 of students are from india

Given:
– Total students = 100
– Indian students = 60%
– Foreign students = 40
– Total girls = 50%
– Indian girls = 30% of 60 = 18

Step-by-step solution:
1. Foreign girls = Total girls – Indian girls
= 50 – 18 = 32

2. Foreign boys = Total foreign – Foreign girls
= 40 – 32 = 8

3. Percentage of boys among foreign students
= (8/40) × 100 = 20%

Answer: (d) 20%

Explanation : 

A woman runs 12km

Initial position: (0,0)
Movements:
1. North 12 km → (0,12)
2. South 6 km → (0,6)
3. East 8 km → (8,6)

Final position: (8,6)

Direction calculation of women:

– Angle = tan⁻¹(6/8)
– Angle = tan⁻¹(0.75)
– Angle = 36.87°

Since:
– tan 45° = 1
– 6/8 = 0.75 < 1
– Therefore, angle is less than 45°