Government exams
- If ‘×’ means ‘+’, ‘+’ means ‘÷’, ‘÷’ means ‘−’ and ‘−’ means ‘×’, then what is the value of the following?72 + 8 × 5 − 3 ÷ 10 = ? Answer: A. 14 Answer: (A) 14 After replacing the signs: 72 ÷ 8 + 5 × 3 - 10 By BODMAS (division and multiplication first, then addition and... 1
- If ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged, which of the following equations becomes correct? Answer: D. 20 − 4 × 2 + 3 ÷ 5 = 7 Answer: (D) 20 − 4 × 2 + 3 ÷ 5 = 7 Apply the interchange to each option and evaluate by BODMAS. 20 + 4 ÷ 2... 1
- If 2 * 3 = 13, 3 * 4 = 25 and 4 * 5 = 41, then 5 * 6 = ? Answer: A. 61 Answer: (A) 61 2² + 3² = 13 , 3² + 4² = 25 , 4² + 5² = 41 . So a * b = a² + b² . 5 * 6 = 25 + 36 = 61. 1
- Q is 12 m east of P. R is 16 m north of Q. How far is P from R, and in which direction is P with respect to R?(Use the eight main directions: a place that is both north and east of another is taken to be north-east of it, and so on.) Answer: D. 20 m, south-west Answer: (D) 20 m, south-west P = (0, 0), Q = (12, 0), R = (12, 16). PR = √(12² + 16²) = 20 m. From R, P is to th... 1
- Anil walks 5 km towards the north, then turns right and walks 3 km. In which direction is he facing now? Answer: C. East Answer: (C) East When you face north, your right hand points east. After turning right he walks, and keeps facing, east. 1
- Priya walks 6 km east and then turns left and walks 8 km. How far is she from her starting point? Answer: B. 10 km Answer: (B) 10 km Facing east, a left turn means north. So she is 6 km east and 8 km north of the start. Distance = √(6² +... 1
- A boy is facing north. He turns right, and then turns right again. In which direction is he facing now? Answer: A. South Answer: (A) South North → right → East → right → South. Two right turns make a 180° turn. 1
- Ravi walks 4 km towards the south, then turns to his left and walks 3 km. In which direction is he facing now? Answer: A. East Answer: (A) East When you face south, your left hand points east. So after the left turn he faces east. 1
- A is 5 m to the north of B. C is 5 m to the east of B. In which direction is C with respect to A? Answer: D. South-east Answer: (D) South-east Put B at the origin. A is at (0, 5) and C is at (5, 0). From A, C is 5 m east and 5 m south, so... 1
- Early one morning, Rohan stood facing the rising sun. In which direction did his shadow fall? Answer: B. Behind him, towards the west Answer: (B) Behind him, towards the west The sun rises in the east, so Rohan faces east. A shadow fa... 1
- Sunita walks 20 m towards the north, turns right and walks 10 m, then turns right again and walks 20 m. Where is she now with respect to her starting point? Answer: C. 10 m east Answer: (C) 10 m east North 20 m, right (east) 10 m, right (south) 20 m. The 20 m north and 20 m south cancel out. She... 1
- A man walks 3 km east, then turns left and walks 4 km, then turns left again and walks 3 km. Where is he now with respect to his starting point? Answer: C. 4 km north Answer: (C) 4 km north East 3 km, left (north) 4 km, left (west) 3 km. The 3 km east and 3 km west cancel out, so he i... 1
- A girl is facing west. She turns 135° in the anticlockwise direction. In which direction is she facing now? Answer: B. South-east Answer: (B) South-east Anticlockwise from west: 45° → south-west, 90° → south, 135° → south-east. 1
- Sita walks 12 m south, then turns left and walks 5 m. What is the shortest distance between her and her starting point? Answer: A. 13 m Answer: (A) 13 m Facing south, a left turn is east. She is 12 m south and 5 m east of the start. Distance = √(12² + 5²) = √(... 1
- Starting from a point, Vikram walks 15 m north, turns right and walks 10 m, turns right and walks 7 m, then turns left and walks 5 m. How far is he from the starting point? Answer: A. 17 m Answer: (A) 17 m North 15 m → (0, 15). Right = east 10 m → (10, 15). Right = south 7 m → (10, 8). Left = east 5 m → (15, 8).... 1
- P is 6 m to the west of Q. R is 8 m to the south of Q. What is the distance between P and R? Answer: B. 10 m Answer: (B) 10 m Put Q at the origin: P = (−6, 0), R = (0, −8). PR = √(6² + 8²) = 10 m. 1
- One evening, Ajay and Vijay were talking, facing each other. Ajay’s shadow fell exactly to his right. Which direction was Ajay facing? Answer: C. North Answer: (C) North In the evening the sun is in the west, so shadows fall towards the east. Ajay’s right is east. A person w... 1
- A man is facing south. He turns 45° clockwise and then 180° anticlockwise. Which direction is he facing now? Answer: C. North-east Answer: (C) North-east Clockwise from south: 45° → south-west. A 180° turn (either way) faces the opposite direction:... 1
- Kunal walks 30 m north, turns left and walks 40 m, then turns left again and walks 30 m. Where is he with respect to his starting point? Answer: D. 40 m west Answer: (D) 40 m west North 30 m, left (west) 40 m, left (south) 30 m. North and south cancel out, so he is 40 m west o... 1
- Town B is 9 km east of town A. Town C is 7 km north of B, and town D is 5 km north of C. What is the straight-line distance between A and D? Answer: A. 15 km Answer: (A) 15 km D is 7 + 5 = 12 km north of B, and B is 9 km east of A. AD = √(9² + 12²) = √(225) = 15 km. 1
- X is to the south of Y, and Z is to the east of Y. In which direction is X with respect to Z?(Use the eight main directions: a place that is both north and east of another is taken to be north-east of it, and so on.) Answer: A. South-west Answer: (A) South-west Put Y at the origin. X is somewhere below it and Z somewhere to its right. From Z, X is to the... 1
- If north-east is called west, west is called south-east and so on (all directions turned the same way), what will south be called? Answer: A. North-east Answer: (A) North-east North-east → west is a turn of 225° clockwise (or 135° anticlockwise). Check: west → south-east... 1
- Meena walks 5 km south, turns right and walks 3 km, then turns left and walks 5 km. Where is she with respect to the starting point? Answer: C. 10 km south and 3 km west Answer: (C) 10 km south and 3 km west Facing south, right is west: she walks 3 km west. Then left turns... 1
- A and B start from the same point. A walks 12 km west, then turns left and walks 5 km. B walks 3 km east, then turns left and walks 3 km. What is the distance between A and B now? Answer: D. 17 km Answer: (D) 17 km A: west 12, then left (south) 5 → (−12, −5). B: east 3, then left (north) 3 → (3, 3). Gap: 15 km east–wes... 1