The number of distinct prime factors of the largest 6-digit number is
(A) 3
(B) 4
(C) 5
(D) 6
If the 8-digit number 179x091y is divisible by 88, then what is the value of (x – y) ?
(A) 1
(B) 2
(C) 3
(D) 4
What is the mean of the range, mode and median of the data given below?
5, 10, 3, 6, 4, 8, 9, 3, 15, 2, 9, 4, 19, 11, 4
(A) 8
(B) 9
(C) 10
(D) 12
The volume of a cube is 2197 cm3 what is its lateral surface area (in cm2)?
(A) 676
(B) 576
(C) 845
(D) 1014
In trapezium PQRS, PQ || SR and the ratio of PQ to SR is 3:2. If the area of the trapezium is 480 cm2 and the distance between PQ and SR is 12 cm, then the length of SR is
(A) 24 cm
(B) 32 cm
(C) 36 cm
(D) 48 cm
The number of edges of a polyhedron, which has 7 faces and 10 vertices, is
(A) 13
(B) 14
(C) 15
(D) 17
Which of the following can be the sides of a right angled triangle?
(A) 20 cm, 21 cm and 31 cm
(B) 35 cm, 77 cm and 88 cm
(C) 15 cm, 32 cm and 57 cm
(D) 65 cm, 72 cm and 97 cm
In ∆ABC and ∆DEF, if AB = EF, BC = DE and CA = FD, then
(A) ∆ABC ≅ ∆DEF
(B) ∆ABC ≅ ∆FED
(C) ∆ABC ≅ ∆EFD
(D) ∆ABC ≅ ∆DFE
The marked price of an article is` 840. A shopkeeper gives a discount of 15% on the marked price and still makes a profit of 19%. What is the cost price of the article?
(A) 540
(B) 580
(C) 600
(D) 640
Two numbers are in the ratio 3:5. If 12 is added to both the numbers, then the ratio becomes 5:7. The sum of the given two numbers is
(A) 32
(B) 40
(C) 48
(D) 56
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