In the following question, select the answer figure in which the question figure is hidden/embedded.

If $x^{2}+y^{2}+z^{2}=x y+y z+z x,(x eq 0)$, then the value of $frac{4 x+2 y-3 z}{2 x}$ is

AB is a diameter of a circle with centre at O. DC is a chord of it such that DC || AB. If ∠BAC = 20°, then ∠ ADC is equal to

What is the value of sin $frac{-7 pi}{4}$ ?

$frac{sqrt{left(operatorname{cosec}^{2} A-1 ight)}}{operatorname{cosec} A}$ is equal to

Two inlet pipes can fill a cistern in 5 and 6 hours respectively and an outlet pipe can empty 24 gallons of water per hour. All the three pipes working together can fill the empty cistern in 10 hours. What is the capacity (in gallons) of the tank?

If in a two digit number, the digit at unit place is y and the digit at tens place is 5, then the number is

If the diameter of a sphere is decreased by 25%, its curved surface area will be decreased by ;

A quadrilateral is inscribed in a circle. If the opposite angles of the quadrilateral are equal and length of its adjacent sides are 6 cm. and 8 cm., what is the area of the circle?

Raman is three times as efficient as Manan. Raman can complete a work in 60 days less than Manan. In how many days the work will be completed if both of them work together ?

The value of $sec ^{2} 12^{circ}-frac{1}{ an ^{2} 78^{circ}}$ is

A wholesaler sells a watch to a retailer at a gain of 32% and the retailer sells it to a customer at a loss of 20%. If the customer pays 1,953.6, what had it cost the wholesaler ?

If x = r cos θ cos φ, y = r cos θ sin φ and z = r sin θ, then the value of x² + y² + z² is

The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil, so as not to increase the expenditure on this account, is

The ratio of the speeds of A, B and C is 2 : 3 : 6 respectively. What is the ratio of the time taken by A, B and C respectively to cover the same distance?

What is the value of $an left(frac{5 pi}{6} ight) sin left(frac{7 pi}{6} ight) ?$

A fruit seller bought 240 bananas at the rate of Rs. 48 per dozen. He sells half of them at the rate of Rs. 5 per banana.$frac{1}{6}$ th of the remaining are found to be rotten. The price per banana at which he has to sell the remaining bananas to get a profit of 25% on his entire investment is

The marked price of an article is 80% more than its cost price. What should be the discount (in %) offered by the shopkeeper so that he earns a profit of 44%?

After giving a discount of 44% a cycle is sold for Rs. 17920. What is the marked price (in Rs.) of the cycle?

If the vertices of a quadrilateral are A(– 2, 6), B(1, 2), C(10, 4) and D(7, 8). Then the equation of diagonal AC will be ?

ABC is a triangle which is right angled at A and a perpendicular AD is drawn on the hypotenuse BC. If BC = 8 and AD = 3, then what is the value of AB × AC?

Study the following table and answer the questions.

Number of students from various schools playing various games (one student plays one game only)

Which school has the maximum number of players?

The difference between the total number of students playing Basketball from all the schools and the total number of students playing Cricket from all the schools is

The number of students playing Badminton from School E is x % of the students playing Badminton from School B. Then x equals

The number of students playing Football from School C is x percent of the total number of students playing Football from all the schools. x equals