# GATE Questions

Q:

A number is increased by 20% and then decreased by 20%, the final value of the number is ?

 A) increase by 2% B) decrease by 3% C) decrease by 4% D) increase by 5%

Explanation:

Here, x = 20 and y = - 20
Therefore, the net % change in value
= %
%  or  - 4%

Since the sign is negative, there is a decrease in value by 4%.

12 7703
Q:

The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is :

 A) Rs. 560 B) Rs. 530 C) Rs. 500 D) Rs. 514

Explanation:

110% of S.P. = Rs. 616

S.P. = (616 x 100)/110 = Rs. 560

C.P = (110 x 560)/112 = Rs. 500

17 7641
Q:

5 C in an OF?

 A) 5 Cards in an Old Fan B) 5 Circles in an Olympic Flag C) 5 Colors in an Old Football D) 5 Colors in an Old Flag

Explanation:

5 C in an OF denotes 5 Circles in an Olympic Flag.

These are riddles of type

12 S of the Z

52 W in a Y.

11 7563
Q:

Which city is known as 'Gold capital of the world' ?

 A) Johannesburg B) Paris C) Dubai D) Saudi

Explanation:

Filed Under: World Geography
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

56 7254
Q:

If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ?

 A) 31/25 B) 15/17 C) 14/25 D) 11/16

Explanation:

The original fraction is    = 15/17.

10 7062
Q:

A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in    ?

 A) 20 hrs B) 28 hrs C) 36 hrs D) 40 hrs

Explanation:

1/8 - 1/x = 1/10

=> x = 40 hrs

20 6975
Q:

A letter is takenout at random from 'ASSISTANT'  and another is taken out from 'STATISTICS'. The probability that they are the same letter is :

 A) 35/96 B) 19/90 C) 19/96 D) None of these

Explanation:

$ASSISTANT\to AAINSSSTT$

$STATISTICS\to ACIISSSTTT$

Here N and C are not common and same letters can be A, I, S, T. Therefore

Probability of choosing A =  $\frac{{2}_{{C}_{1}}}{{9}_{{C}_{1}}}×\frac{{1}_{{C}_{1}}}{{10}_{{C}_{1}}}$ = 1/45

Probability of choosing I = $\frac{1}{{9}_{{C}_{1}}}×\frac{{2}_{{C}_{1}}}{{10}_{{C}_{1}}}$ = 1/45

Probability of choosing S = $\frac{{3}_{{C}_{1}}}{{9}_{{C}_{1}}}×\frac{{3}_{{C}_{1}}}{{10}_{{C}_{1}}}$ = 1/10

Probability of choosing T = $\frac{{2}_{{C}_{1}}}{{9}_{{C}_{1}}}×\frac{{3}_{{C}_{1}}}{{10}_{{C}_{1}}}$ = 1/15

Hence, Required probability =

60 6909
Q:

What should come in place of question mark (?) in the following number series?

132       156       ?         210          240          272

 A) 196 B) 182 C) 199 D) 204

Explanation:

The given series follows a logic that

11 x 12, 12 x 13, 13 x 14, 14 x 15, 15 x 16,...

So the missing number is 13 x 14 = 182