Q.235·Miscellaneous·2025·EasyA pot is made from a hollow sphere of inner radius 20 cm by cutting its upper portion horizontally. The height of the pot is 30 cm. What is the angle made by the line joining the centre of the sphere and any point on the rim of the circular opening with a vertical line passing through the centre?View question
Q.236·Miscellaneous·2025·EasyThe sides of an open box are 0.5 cm thick and bottom is 1 cm thick. The internal length, breadth and depth are respectively 14 cm, 10 cm and 8 cm. It is completely filled with water. If the material weighs 2000 kg per cubic metre, then what is the weight of the material used in the construction of the box?View question
Q.237·Miscellaneous·2025·EasyThe sides of an open box are 0.5 cm thick and bottom is 1 cm thick. The internal length, breadth and depth are respectively 14 cm, 10 cm and 8 cm. It is completely filled with water. If water weighs 1000 kg per cubic metre, then what is the weight of the box with water?View question
Q.238·Miscellaneous·2025·EasyThe perimeter of a triangle ABC is 105 cm. The altitudes AD, BE and CF are in the ratio 3:5:6. What is the approximate area of the triangle ABC?View question
Q.239·Miscellaneous·2025·EasyABC is a triangle right-angled at A. Further, AB = 8 cm, BC = 10 cm. D is the point on BC such that AD is perpendicular to BC. What is ratio of area of triangle ADC to area of triangle ADB?View question
Q.240·Miscellaneous·2025·EasyThe perimeter of a triangle ABC is 105 cm. The altitudes AD, BE and CF are in the ratio 3:5:6. What is AB : BC : CA equal to?View question
Q.241·Miscellaneous·2025·EasyABC is a triangle right-angled at A. Further, AB = 8 cm, BC = 10 cm. D is the point on BC such that AD is perpendicular to BC. What is AD equal to?View question
Q.242·Miscellaneous·2025·EasyA circle M of radius 8 cm touches externally with another circle N of radius 16 cm. Let P, Q be the points where the common tangent touches the circles M and N respectively. If U, V are the centres of the circles M and N respectively, then what is the area of the quadrilateral formed by the points P, Q, V and U?View question
Q.243·Miscellaneous·2025·EasyA pot is made from a hollow sphere of inner radius 20 cm by cutting its upper portion horizontally. The height of the pot is 30 cm. What is the inner radius of the circular opening of the pot so formed?View question
Q.244·Miscellaneous·2025·EasyConsider the following for the next two (02) items that follow: A frustum of a right cone has a top of diameter 2k, bottom of diameter 2.5k and height h. What is the volume of the frustum?View question
Q.245·Miscellaneous·2025·EasyABC is a triangle right-angled at B. The perimeter of the triangle is 24 cm and the difference between the sum of the perpendicular sides and the hypotenuse is 4 cm. What is the area of the triangle ABC?View question
Q.246·Miscellaneous·2025·EasyA train of certain length takes time t to pass completely through a station of length x. The same train with same speed takes time 2t to pass completely through another station of length y. What is the time taken by the train to pass completely through a station of length (x+y)?View question
Q.247·Miscellaneous·2025·EasyIdentify the cloud on the basis of the following characteristics relating to it: I. They look like cotton wool. II. They exist in patches and have flat base. III. They are generally formed at a height of 4 to 7 km. Select the answer using the code given below :View question
Q.248·Miscellaneous·2025·EasyConsider the following for the next two (02) items that follow: A frustum of a right cone has a top of diameter 2k, bottom of diameter 2.5k and height h. What is the whole surface area of the frustum?View question
Q.249·Miscellaneous·2025·EasyABC is a triangle right-angled at B. The perimeter of the triangle is 24 cm and the difference between the sum of the perpendicular sides and the hypotenuse is 4 cm. A circle is inscribed in the triangle. What is its radius?View question
Q.250·Miscellaneous·2025·EasyThe ratio of sum of two numbers to their difference is 5:1. What is the ratio of the sum of their squares to the difference of their squares?View question
Q.251·Miscellaneous·2025·EasyTravelling at 3/5th of his usual speed, a man is late by 20 minutes. What is the usual time if he travels with his usual speed?View question
Q.252·Miscellaneous·2025·EasyThe officer under suspension felt intimated by the committee members during his interrogation regarding the allegations against him. Select the most appropriate option that is an improvement of the underlined word in the context of the sentence, and mark your response on the Answer Sheet accordingly.View question