GATE Questions

Q:

Find the next number in the given number series?

35, 36, 55, 111, ?

A) 278.5 B) 264.5
C) 212.5 D) 202
 
Answer & Explanation Answer: A) 278.5

Explanation:

The given number series is 35, 36, 55, 111, ?

35

35 x 1 + 1 = 36

36 x 1.5 + 1 = 55

55 x 2 + 1 = 111

111 x 2.5 + 1 = 278.5

 

Hence, the next number in the given number series is 278.5.

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Q:

A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
Two faces measuring 4 cm x 1 cm are coloured in black.
Two faces measuring 6 cm x 1 cm are coloured in red.
Two faces measuring 6 cm x 4 cm are coloured in green.
The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).

How many cubes will have green colour on two sides and rest of the four sides having no colour ?

A) 8 B) 24
C) 16 D) 4
 
Answer & Explanation Answer: A) 8

Explanation:

kar1486102114.png image

There are 16 small cubes attached to the outer walls of the cuboid.
Therefore remaining inner small cubes will be the cubes having two sides green coloured.
So the required number = 24 - 16 = 8

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81 37101
Q:

A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A ?

A) Rs. 240 B) Rs. 75
C) Rs. 125 D) Rs. 354
 
Answer & Explanation Answer: A) Rs. 240

Explanation:

The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4)

=> 8:13

=> 8/21 x 630 = 240.

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16 37080
Q:

Pick the odd man out of the folowing number sequence?

123 112 133 112 143

A) 143 B) 122
C) 133 D) 112
 
Answer & Explanation Answer: B) 122

Explanation:

Here the given series is 123 112 133 112 143

It follows a pattern that,

123

123 - 11 = 112

112 + 21 = 133

133 - 31 = 102 (not 122)

102 + 41 = 143

 

Hence, the odd man in the given number sequence is 122 instead of 102.

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4 36938
Q:

Fact 1: All hats have brims.
Fact 2: There are black hats and blue hats.
Fact 3: Baseball caps are hats.

If the first three statements are facts, which of the following statements must also be a fact?
I. All caps have brims.
II. Some baseball caps are blue.
III. Baseball caps have no brims.

A) I only B) II only
C) I, II, and III D) None of the statements is a fact.
 
Answer & Explanation Answer: D) None of the statements is a fact.

Explanation:

All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III—but it doesn’t follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.

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4 36886
Q:

11 P in a CT

Answer

The given letter equation implies that 11 P in a CT means 11 Players in a Cricket Team.

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Q:

A computer consists of

A) motherboard B) hard disk drive
C) central processing unit D) All of the above
 
Answer & Explanation Answer: D) All of the above

Explanation:

A computer system consists of a computer case, a power supply unit, a motherboard, a central processing unit (CPU), main memory, and a hard disk drive.

Input devices include a keyboard, mouse, microphone, video camera, and image scanner.

Output devices include a monitor, speakers, and a printer.

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86 36855
Q:

Find the next number in the given number series?

96, 95, 87, 78, ?

A) 64 B) 57
C) 29 D) 14
 
Answer & Explanation Answer: D) 14

Explanation:

The given number series is 96, 95, 87, 78, ? 

It follows a pattern that,

9696 - 12 = 9595 - 23 = 95 - 8 = 8787 - 32 = 87 - 9 = 7878 - 43 = 78 - 64 = 14

 

Hence, the next number in the given number series is 14.

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