Scholarship Test (CLASS – 10) (10.04.2022)

If the product of two irrational numbers is rational, then which of the following can be concluded?

What is the least number that is divisible by all the natural numbers from 1 to 10 (both inclusive)?

If a and b are the zeros of x² + 5x + 8 then the value of (a + b) is

On dividing a polynomial p(x) by a nonzero polynomial q(x), let g(x) be the quotient and r(x) be the remainder then p(x) = q(x).g(x) + r(x), where

The sum of the digits of a two-digit number is 15. The number obtained by interchanging the digits exceeds the given number by 9. The number is

The graphs of the equations 2x + 3y – 2 = 0 and x – 2y – 8 = 0 are two lines which are

The pair of equations 2x + y = 5, 3x + 2y = 8 has

The coordinates of the point P dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1 is

The points A(−4, 0), B(4, 0) and C(0, 3) are the vertices of a triangle, which is

If the points A(1, 2), O(0, 0) and C(a, b) are collinear then

If the diagonals of a quadrilateral divide each other proportionally then it is a

ABC and BDE are two equilateral triangles such that D is the midpoint of BC. Ratio of the areas of triangles ABC and BDE is

One word for a person who believes that pleasure is the chief good :-

Choose the alternative which best expresses the meaning of the idiom/phrase

“To go at each other hammer and tongs”

synonyms of  FESTAL ?

Choose the alternative which best expresses the meaning of the idiom/phrase

“To live fast”

Find the correctly spelt word:-

Fill in the blanks with the most suitable adverbs of the highlighted or bracketed words:

Direction: Find the meanings of the underlined words in the given sentences :

When the reviewer criticised the movie for its hackneyed plot, we agreed; we had seen similar stories hundreds of times before.

Fill the blanks by choosing options that will make the dialogues meaningful :

1. These vocabulary classes! They are taking their toll on me.
2. Well! It’s simple. All you have to do With a word is _____ in a dictionary.

Looking at a portrait of a man, Sanjay said, “His mother is the wife of my father’s son. Brothers and sisters I have none.” At whose portrait was Sanjay Looking.

7, 9, 66, 12, 14, 66, 17, … choose which pair of numbers comes next?

70, 71, 76, __, 81, 86, 70, 91. What number should fill the blank?

Directions: Below are two statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the two statements disregarding commonly known facts.

If x stands for add, y stands for subtract, z stands for divide and p stands for multiply, then what is the value of (7p3)y6×5 ?

The resistance of a metal wire of length 10 m is 100 ohm at 20 °C. If the diameter of the wire is 2 mm, then what will be the resistivity of the metal at that temperature ?

Which of the following is NOT true concerning photosynthesis in green plants?

Which law states that the direction of the induced current is such that it always opposes the cause (motion of conductor) which produced it?

What is the colour of Copper (II) Chloride formed in the given chemical equation?

CuO + 2 HCl ——-> CuCl2 + H2O

What is the smallest resistance that can be obtained by using a 6 ohm resistor and a 12 ohm resistor respectively connected in parallel?

Which of these is found in blood but not in lymph ?

What are ‘X’ and ‘Y’ in the given reaction?

Na₂CO₃ + 2HCl ———> 2X_(aq) + H₂O_(l) + Y_(g)

When heated, solid ‘X’ gives off a gas, turns lime water milky, residue reacts with dilute acid and also with aqueous alkali. What is ‘X’?

Three beakers labelled as A, B and C each containing 25 ml of water were taken. A small amount of NaOH, anhydrous CuSO4 and NaCl were added to the beakers A, B and C respectively. It was observed that there was an increase in the temperature of the solutions contained in beakers A and B, whereas in case of beaker C, the temperature of the solution falls. Which one of the following statement(s) is (are) correct?

(i) In beakers A and B, exothermic process has occurred.

(ii) In beakers A and B, endothermic process has occurred.

(iii) In beaker C, exothermic process has occurred.

(iv) In beaker C, endothermic process has occurred.

Which of the following gases can be used for storage of fresh sample of an oil for a long time?

Fe₂O₃ + 2Al ———-> Al₂O₃ + 2Fe

The above reaction is an example of a _______.

What is the least distance of distinct vision for a normal adult human being?