Mathematics Practice Questions

Question 101 · Hard

A boat travels 42 km downstream in 3 hours and 30 km upstream in 5 hours. Find the speed of the stream.

A2 km/hB3 km/hC4 km/hD5 km/h

Question 102 · Hard

If α and β are the roots of x²−11x+k=0 and α²+β²=65, find k.

A24B26C27D28

Question 103 · Hard

The average of 15 observations is 48. If one observation 72 is replaced by 57, find the new average.

A46B46.5C47D48

Question 104 · Hard

A train crosses a 240 m platform in 24 seconds and a pole in 12 seconds. Find the speed of the train.

A54 km/hB60 km/hC72 km/hD90 km/h

Question 105 · Hard

A and B can complete a work in 18 and 30 days respectively. They work together for 6 days, then A leaves. In how many more days will B finish the remaining work?

A10B12C14D15

Question 106 · Hard

A shopkeeper marks an article 60% above the cost price and allows successive discounts of 10% and 20%. Find the profit percentage.

A12.2%B14.8%C15.2%D18%

Question 107 · Hard

If α and β are the roots of x²−13x+k=0 and α²+β²=97, find k. / यदि α तथा β, x²−13x+k=0 के मूल हैं तथा α²+β²=97 है, तो k का मान ज्ञात करें।यदि α तथा β, x²−13x+k=0 के मूल हैं तथा α²+β²=97 है, तो k का मान ज्ञात करें।

A3232B3636C4040D4242

Question 108 · Hard

The HCF and LCM of two numbers are 18 and 1260 respectively. If one number is 180, find the other number. / दो संख्याओं का HCF 18 तथा LCM 1260 है। यदि एक संख्या 180 है, तो दूसरी संख्या ज्ञात करें.दो संख्याओं का HCF 18 तथा LCM 1260 है। यदि एक संख्या 180 है, तो दूसरी संख्या ज्ञात करें।

A126126B144144C252252D324324