The sum of first  natural numbers with one of them missed is 42. What is the number that was missed?

• 1

• 2

• 3

• 4

Two platforms are separated horizontally by distance A and vertically by distance B. They are to be connected by a staircase having identical steps. If the maximum permissible step length is a, and the maximum permissible step height is b, the number of steps the staircase can have is

• ≥B/b

• ≤A/a

• ≥B/b and ≤A/a

• ≤B/b and ≥A/a

Ajay, Bunty, Chinu and Deb were agent, baker, compounder and designer, but not necessarily in that order. Deb told the baker that Chinu is on his way. Ajay is sitting across the designer and next to the compounder. The designer didn't say anything. What is each person's occupation?

• Ajay-compounder; Bunty-designer; Chinu-baker; Deb-agent

• Ajay-compounder; Bunty-baker; Chinu-agent; Deb-designer

• Ajay-baker; Bunty-agent; Chinu-designer; Deb-compounder.

• Ajay-baker; Bunty-designer; Chinu-agent; Deb-compounder

A 2.2 m wide rectangular steel plate is corrugated as shown in the diagram. Each corrugation is a semi-circle in cross-section having a diameter of 7 cm. What will be the width of the steel sheet after it is corrugated?

• 1.4 m

• 1.6 m

• 0.7 m

• 1.1 m

What is the area of the triangle bounded by the lines y = 2x, y = -2x and y = 6?

• 36

• 18

• 12

• 24

266.

Three volumes of a Hindi book, identical in shape and size, are next to each other in a shelf, all upright, so that their spines are visible, left to right: I, II and III. A worm starts eating from the outside front cover of the volume I, and eats its way horizontally to the outside back cover of volume III. What is the distance travelled by the worm, if each volume is 6 cm thick?

• 6 cm

• 12 cm

• 18 cm

• a little more than 18 cm.

A cubical piece of wood was filed to make it into the largest possible sphere. What fraction of the original volume was removed?

• More than 3/4

• 1/2

• Slightly less than 1/2

• Slightly more than 1/2

Every month the price of a particular commodity falls in this order:

1024, 640, 400, 250, ....

What is the next value?

• 156.25

• Approximately 39

• 64

• 40

We define a function f(N) = sum of digits of N, expressed as decimal number. e.g. f(137) = 1 + 3 + 7 = 11. Evaluate f(2⁷3⁵5⁶).

• 10

• 18

• 28

• 11

In each of the following groups of words is a hidden number, based on which you should arrange them in ascending order. Pick the right answer:

A. Tinsel event

B. Man in England

C. Good height

D. Last encounter

• A, B, C, D

• C, B, D, A

• A, C, D, B

• C, D, B, A