SSC CGL MATHS QUIZ-42

The remainder, when $17^{37}+29^{37}$ is divided by 23 is:

Amlesh, Bablu, Chandan, Dinesh and kamlesh are five persons. The weight of Amlesh, Bablu and Chandan is $90 \%, 112 \%$ and $94 \%$ respectively of the average weight of all five. The ratio of weight of Dinesh and kamlesh is $5: 12$. The difference between the weight of Dinesh and kamlesh is $168 \mathrm{~kg}$. What is the average weight of all the five persons?

The simple interest on a certain sum is one-eighth of the sum when the number of years is equal to half of the rate percentage per annum. Find the simple interest (in ₹) on ₹ 15,000 at the same rate of simple interest for 8 years.

Shikha spends $20 \%$ of her monthly salary on food and $\frac{2}{3}$ of the remaining on transport. If she saves Rs. 4000 per month which is equal to half the balance after spending on food and transport then her monthly salary is -

A and B can do a piece of work in 45 and 40 days respectively. They began the work together but A left after some days and $B$ finished the remaining work in 23 days. What is the number of days after which A left the work? ?

The value of $\cos ^{2} 49^{\circ}-\sin ^{2} 41^{\circ}+\sin 45^{\circ} \cos 45^{\circ}$ is:

If $x^{4}+x^{2} y^{2}+y^{4}=21$ and $x^{2}+x y+y^{2}=3$, then what is the value of $8 x y$.

Two trains whose lengths are 450 metres and 300 metres are moving towards each other at the speed of 162 km/hr and 108 km/hr respectively. If distance between trains is 300 metres, then in how much time, these trains will cross each other?

In a right $\triangle \mathrm{ABC}, \angle \mathrm{B}=90^{\circ}, \mathrm{AC}-\mathrm{BC}=2, \mathrm{AB}=8$, Then $\sec \mathrm{A}+\cot \mathrm{C}$ ?