SSC CGL MATHS QUIZ-14

Question 1:

There are 20 girls in a school. If one of the girls whose age is 18 years is transferred by another girl, then the average age of the girls decreases by 2 months. What will be the age of the newly joined girl?

14 years 2 months

14 years 4 months

4 years 6 months

14 years 8 months

Question 2:

A farmer mixes two varieties of rice costing Rs. 48 per kg and Rs.36 per kg in the ratio 1 : 2 respectively. He sold the mixture for Rs. 3000 to earn a profit of $25 \%$ the find the quantity of cheaper rice.

32

23

41

56

Question 3:

At 7: 00 am Train A leaves Delhi for Lucknow at the rate of 96 km/hr. At 9: 00 am on the same day Shatabdi express leaves Lucknow for Delhi at the rate of 78 km/hr. At what time both the train will collide? If the distance between Delhi and Lucknow is 540 km and both the trains are running on the same track.

11:20 am

11:00 am

11:40 am

12:20 pm

Question 4:

Zubin and Pravin can individually complete a job in $36 \mathrm{~min}$ and $60 \mathrm{~min}$ respectively. Starting with Zubin, they work alternately for a minute each till the work is completed, only the one working at the end allowed to work for less than a minute in his final turn. How long will it take to complete the job?

$45 \mathrm{~min}$

$44 \mathrm{~min} 48 \mathrm{~s}$

$44 \min 45 \mathrm{~s}$

$45 \min 12 \mathrm{~s}$

Question 5:

In a showroom, if the customer’s total bill amounts to more than Rs. 3500 in a single purchase, then he or she is eligible for an extra discount on the complete bill. Two friends went for shopping. One purchased clothes worth Rs. 3200 and the other purchased a pair of slippers worth Rs. 750. If the separate billing were done, then both are not eligible for extra discount, but if both the products are billed together, then they are given the discount of 10% on the individual item and the extra discount of 20% on the bill amount. Find the value of extra discount received by them.

320

1031

711

619

Question 6:

If $\frac{2 x}{5 x^{2}-7 x+5}=\frac{1}{3}$, then find the value of $x^{2}+\frac{1}{x^{2}}$

$\frac{69}{25}$

$\frac{64}{25}$

$\frac{119}{25}$

$\frac{138}{25}$

Question 7:

Shivani lends ₹ 7000 at compound interest rate of $15 \%$ per annum for $2 \frac{3}{5}$ years. Find the amount he will get after the time limit.

Rs $10090.675$

Rs $10190.675$

Rs $10200.675$

Rs $11090.675$

Question 8:

From a point that is at a distance of $15 \mathrm{~cm}$ from centre o of a circle of radius $9 \mathrm{~cm}$, in the same plane, a pair of tangents $P Q$ and $P R$ is drawn to the circle The area of quadrilateral PQOR is:

$108 \mathrm{~cm}^{2}$

$118 \mathrm{~cm}^{2}$

$114 \mathrm{~cm}^{2}$

$106 \mathrm{~cm}^{2}$

Question 9:

An equilateral triangle $A B C$ and a scalene triangle $D B C$ are inscribed in a circle on same side of the arc. What is $\angle B D C$ equal to?

$30^{\circ}$

$45^{\circ}$

$60^{\circ}$

$90^{\circ}$

Question 10:

A right circular cone is surmounted on a hemisphere. Base radius of the cone is equal to radius of the hemisphere. The diameter of the hemisphere is $12 \mathrm{~cm}$ while the height of the cone is $8 \mathrm{~cm}$. Find the cost of painting the compound object if it costs ₹ $25$ to paint $\pi \mathrm{cm}^{2}$.

₹$ 3,300$

₹ $6,930$

₹ $10,371$

₹ $4,500$