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There is a cone of height 12 cm, out of which a smaller cone (which is the top portion of the original cone) with the same vertex and vertical axis is cut out. What is the ratio of the volume of the larger (actual) cone to the remaining part of the cone, if the height of the smaller cone is 9 cm and ?


A3 : 1
B9 : 1
C64 : 37
D16 : 7

Find the sum of the number of faces, edges and vertices of tetrahedron.

A14
B12
C10
D16

A
B
C
DNone of these

The given bar graph shows the amount of time Navya spends doing various activities on Sunday. Study the given graph carefully and answer the following question.

Find the fraction of time spent by her on dancing to the time spent on doing homework.

A
B
C
DNone of these

Fill in the blanks :
Cubes of the numbers for which the digits in the units place are 2, 8 and 3, 7 end in _____ and _____ respectively.

A 4, 6 and 2, 7
B 2, 3 and 7, 3
C 8, 2 and 7, 3
D 5, 4 and 3, 7

Study the statements and select the correct option.


A Statement 1 is true and statement 2 is false
B Statement 1 and 2 are true
C Statement 1 and 2 are false
D Statement 1 is false and statement 2 is true

How many pairs of letters are there in the word ADVENTURE which have the number of letters one more than the number of letters between them as in English alphabet?

AOne
BTwo
CThree
DMore than three

Arrange the given steps in correct order of constructing an angle of 90° using ruler and compass.
Step 1 : Place the pointer of the compasses at O and draw an arc of convenient radius which cuts the line at A.
Step 2 : Without disturbing radius on compasses, draw an arc with A as centre which cuts the first arc at B.
Step 3 : With B and C as centres and with any convenient radius, draw two arcs to intersect each other at L.
Step 4 : Again without disturbing the radius on the compasses and with B as centre, draw an arc which cuts the first arc at C.
Step 5 : Draw any line PQ and take a point O on it.
Step 6 : Join OL.
∠LOA is the required angle whose measure is 90°.

A4-1-2-3-5-6
B2-1-4-3-5-6
C1-2-4-3-5-6
D5-1-2-4-3-6

If ÷ means +, - means ÷, x means - and + means x then,


A 0
B 8
C 12
D 16

Identify the minuend and subtrahend in the given subtraction problem.