List of practice Questions

Who inaugurated the 8th India International MSME Start-up Expo & Summit at New Delhi?
Women’s Equality Day 2022 was celebrated all over the world to celebrate women’s empowerment and equality, When was it celebrated?
Who among the following won the 2022 UNESCO Peace Prize for ‘Efforts To Welcome Refugees’?
Who among the following won the 2022 Ramon Magsaysay award in September 2022?
Recently, the Smart Solutions Challenge & Inclusive Cities Awards 2022 was presented, the awards is an initiative of?
The All-India Council for Technical Education (AICTE) has signed an agreement with which company to accelerate digital creativity skills across India?
Which governing body has announced to launch its new centralized portal called `e-Samadhan` for grievance redressal?
Which of the following government unveiled a scheme called Mahila Nidhi on Women`s Equality Day to help them sustain their livelihoods?
In which state / UTs Atal Innovation Mission (AIM) & NITI Aayog have announced the establishment of more than 500 Atal Tinkering Labs (ATLs)?
In the given figure, ABCD is a rectangle. AB is 3m and BC is 2m. It is given that CF is 1m. AF intersects CD at E, and it is known that BE is parallel to HG and GE is perpendicular to AB. Find the length of HG (in m).
ABCD is a rectangle. AB is 3m and BC is 2m.
ABCD is an isosceles trapezium with angle \( A = 45^\circ \) and the length of one of the non-parallel sides is \( 10\sqrt{2} \). The area of triangle \( ABD \) is 200 sq. units. What is the sum of the lengths of the parallel sides?
If \( a_1, a_2, \ldots, a_n \) are in AP, then evaluate the following expression: \[ \frac{1}{\sqrt{a_1} + \sqrt{a_2}} + \frac{1}{\sqrt{a_2} + \sqrt{a_3}} + \cdots + \frac{1}{\sqrt{a_n} + \sqrt{a_{n+1}}} \]
A work was completed by three persons of equal ability, first one doing \( m \) hours for \( m \) days, second one doing \( n \) hours for \( n \) days (where \( m \) and \( n \) are integers) and third one doing 16 hours for 16 days. The work could have been completed in 29 days by the third person alone with his respective working hours. If all of them do the work together with their respective working hours, then they can complete it in about:
A man’s petrol bill in July is Rs. 200. In August, the price of petrol increases by 10% and his consumption is reduced by 10%. Find his petrol bill in August.
Two cyclists start together to travel to a certain destination, one at the rate of 4 kmph and the other at the rate of 5 kmph. Find the distance if the former arrives half an hour after the latter.
A motorcyclist covers 4 successive 4 km stretches at speeds of 20 kmph, 30 kmph, 40 kmph, and 50 kmph respectively. Find the average speed over the total distance.
Metal A costs Rs. 8.40 per gm and metal B Rs. 0.21 per gm. In what proportion must these metals be mixed so that 1 gram of the mixture may be worth Rs. 5.67?
In triangle ABC, two points P and Q are on AB and BC respectively such that \( \frac{AP}{BP} = 1 : 4 \) and \( \frac{BQ}{CQ} = 2 : 3 \). The ratio of areas of triangle BPQ and the quadrilateral PQCA is:
If each of the dimensions of a rectangle is increased by 100%, then the area is increased by?
A square pyramid with a side of 10 cm has a volume of 400 cm\(^3\). Find the total surface area of the pyramid.
A student walks from his house at \( \frac{5}{2} \) km/h and reaches his school late by 6 minutes. Next day, he increases his speed by 1 km/h and reaches 6 minutes before school time. How far is the school from his house?
Two cyclists start together to travel to a certain destination, one at the rate of 4 kmph and the other at the rate of 5 kmph. Find the distance if the former arrives half an hour after the latter.
PBA and PDC are two secants. AD is the diameter of the circle with centre at O. \( \angle A=40° \), \( \angle P=20° \). Find the measure of \( \angle DBC \).
AD is the diameter of the circle with centre at O.
In an isosceles triangle \( PQR \) with \( PQ = PR \), PT and PZ trisect \( QR \) such that \( QT = TZ = ZR \). If \( \angle TPZ = \angle PQR \) and the area of triangle \( PQR \) is equal to \( \frac{27\sqrt{7}}{4} \), then find \( PR \).
ABCD is a rectangle as shown in the figure. AB = 8 cm and BC = 6 cm. BE is the perpendicular drawn from B to the diagonal AC. EF is the perpendicular drawn from E to AB. What is the length of BF?
ABCD is a rectangle